Let w be l(5). Factor 16/7*k + w + 1/7*k**2.
k*(k + 16)/7
Let k be -14 + -16*(-1476)/1680. Let v(g) be the second derivative of 13/21*g**4 + 16/7*g**3 + 0 + k*g**5 + g + 18/7*g**2. Factor v(m).
4*(m + 3)**2*(2*m + 1)/7
Let h = 172 + -169. Factor 12*x - 24 - 3*x**4 + 18*x**2 + 49*x**3 - 18*x**3 - 18*x**3 - 16*x**h.
-3*(x - 2)*(x - 1)*(x + 2)**2
Let k(h) be the third derivative of -h**5/210 + 1193*h**4/42 - 1423249*h**3/21 - 7701*h**2. Factor k(i).
-2*(i - 1193)**2/7
Determine z so that 432/17 + 62/17*z**2 + 348/17*z - 2/17*z**3 = 0.
-3, -2, 36
Let y(a) be the first derivative of -a**4/16 - 231*a**3 - 320166*a**2 - 197222256*a - 4629. Factor y(x).
-(x + 924)**3/4
Let d = -536712 + 2146851/4. Find g such that 0 - d*g**3 - 21/4*g - 6*g**2 = 0.
-7, -1, 0
Let u = 5/113 + 33/1808. Let w(b) be the first derivative of -1/2*b**3 + 8 + u*b**4 + 3/2*b**2 - 2*b. Factor w(l).
(l - 2)**3/4
Let d(j) be the third derivative of 0 + 1/30*j**5 + 2/3*j**3 + 132*j**2 + 1/4*j**4 + 0*j. Suppose d(n) = 0. Calculate n.
-2, -1
Suppose 260*h + 0*h**4 + 3*h**4 + 298*h**2 - 256 - 197*h**3 + 18*h**2 = 0. What is h?
-1, 2/3, 2, 64
Let t be -3*(-3 - 7/(-3)). Suppose 14 - 38 = -t*j. Determine b so that 4*b - 4*b**5 - j*b**2 + 6*b**2 + 8*b**4 - 2*b**2 = 0.
-1, 0, 1
Let j(w) be the first derivative of -1/4*w**4 - 75/2*w**2 - 43 - 99*w - 17/3*w**3. Factor j(y).
-(y + 3)**2*(y + 11)
Factor 9*q + 0 - 43/10*q**2 - 1/10*q**3.
-q*(q - 2)*(q + 45)/10
Suppose 11 + 539 = 185*s + 90*s. Find y, given that 0 + 22/17*y**s + 12/17*y**3 + 12/17*y + 2/17*y**4 = 0.
-3, -2, -1, 0
Let p(c) be the third derivative of -c**5/60 - 399*c**4/8 + 1199*c**3/3 + 82*c**2 + 2*c - 10. Determine r, given that p(r) = 0.
-1199, 2
Factor -16*w + 1/2*w**3 + 18 + 5/2*w**2.
(w - 2)**2*(w + 9)/2
Find k such that -288/11 + 136/11*k**3 + 10/11*k**4 + 492/11*k + 514/11*k**2 = 0.
-8, -3, 2/5
Let x be (-322)/8 - -41 - ((-95)/220 + 1). Factor 94/11*u - 50/11*u**2 + x*u**3 - 46/11.
2*(u - 23)*(u - 1)**2/11
Let j = 14065 + -55393/4. Let h = j + -14707/68. Factor h*a**3 - 2/17 + 8/17*a - 2/17*a**4 - 12/17*a**2.
-2*(a - 1)**4/17
Let k(c) be the second derivative of -2/9*c**2 + 1/45*c**5 + 2/27*c**4 + c - 1/27*c**3 - 2/135*c**6 + 0 - 1/189*c**7. Solve k(u) = 0 for u.
-2, -1, 1
Let o be -5 - (1*-13 + 5 + 0). Factor 4*f + 4*f**2 + f**2 - o*f**2 + 3*f + f.
2*f*(f + 4)
Suppose -2649 = -1778*h + 721 + 186. Suppose 0*j - 36/5*j**4 + 36/5*j**h + 4/5*j**5 + 0 - 4/5*j**3 = 0. Calculate j.
-1, 0, 1, 9
Let z be (-16)/(-40) + (-582)/(-45). Let o(w) be the second derivative of 2/5*w**5 - z*w**3 - 20*w - 24*w**2 + 2/15*w**6 + 0 - 7/3*w**4. Factor o(r).
4*(r - 3)*(r + 1)*(r + 2)**2
Suppose 2*n + 0*b - 11 = b, 0 = 5*b - 5. Determine z so that -9*z**2 - 48*z**2 - 11*z**3 + n*z**3 + 7*z**2 = 0.
-10, 0
Let x(j) be the second derivative of 4*j - 7/17*j**2 - 1/102*j**4 + 8/51*j**3 + 22. What is z in x(z) = 0?
1, 7
Let n = 5/17142 - -11413/51426. Factor 0 - n*m**2 + 44/9*m.
-2*m*(m - 22)/9
Let j(n) = -7*n**5 - 66*n**4 - 207*n**3 - 4*n**2 + 280*n + 4. Let z(s) = -2*s**5 + s + 1. Let g(u) = -5*j(u) + 20*z(u). Solve g(c) = 0.
-2, 0, 1, 69
Let n = 143 + -139. Factor -n - 4*c**4 - c**3 + 19*c**3 + 8*c**2 + 4*c + 4*c**5 - 26*c**3.
4*(c - 1)**3*(c + 1)**2
Let n(i) be the first derivative of -i**5/3 + 40*i**4/3 - 305*i**3/9 + 25*i**2 + 100. Suppose n(v) = 0. What is v?
0, 1, 30
Let p(w) = -4*w**2 - 303*w - 2571. Let r be p(-66). Solve -36/5*k**2 - 3*k**r + 72/5 + 51/5*k = 0.
-3, -1, 8/5
Suppose -2*w = 5*p + 15 - 4, -2*w - 2 = -4*p. Let x be ((1 - -11) + -14)/(5*p). Factor -8/5*n + 2 - x*n**2.
-2*(n - 1)*(n + 5)/5
Let c(v) be the first derivative of -v**5/5 + v**3 - v**2 - 948. Factor c(m).
-m*(m - 1)**2*(m + 2)
Let m(o) = -o**3 - 2*o**2 + o - 3. Let j(l) = l**4 + 34*l**3 + 220*l**2 + 272*l - 1576. Let u(d) = 3*j(d) + 24*m(d). Factor u(y).
3*(y - 2)*(y + 8)*(y + 10)**2
Let l(o) be the second derivative of -3/110*o**5 - 118*o + 1/231*o**7 + 0 + 20/33*o**3 + 2/33*o**6 + 0*o**2 - 14/33*o**4. Determine h so that l(h) = 0.
-10, -2, 0, 1
Let c be (-5 + 13)/8 + -35. Let v = c + 36. Factor 8/3 + 4/3*r - 1/3*r**3 + 1/3*r**4 - 2*r**v.
(r - 2)**2*(r + 1)*(r + 2)/3
Let 416 - 77*g**2 - 27*g**2 + 63413362*g**3 - 63413364*g**3 + 8*g = 0. Calculate g.
-52, -2, 2
Let s(h) = 18*h**4 - 8*h**3 - 12*h**2 + 48*h + 30. Let m(d) = 14*d**4 - 9*d**3 - 9*d**2 + 47*d + 30. Let j(x) = 4*m(x) - 3*s(x). Factor j(g).
2*(g - 5)*(g - 3)*(g + 1)**2
Suppose -117*u = -122*u + 100. Suppose -9*k + 58 = u*k. Let 0 + 12/5*v + 2/5*v**k = 0. Calculate v.
-6, 0
Let j(t) = -2*t - 1. Let l(k) = 470*k - 246*k - 272*k + 4*k**2 - 4. Let q(m) = -4*j(m) + l(m). Let q(i) = 0. Calculate i.
0, 10
Factor 51/2*p + 27/2*p**2 + 25/2 + 1/2*p**3.
(p + 1)**2*(p + 25)/2
Let l(u) be the first derivative of 7*u**2 - 32*u + 1/3*u**3 + 15. Let l(n) = 0. Calculate n.
-16, 2
Factor -104/7*a**2 + 16*a**3 + 0 + 2/7*a**5 - 34/7*a**4 + 0*a.
2*a**2*(a - 13)*(a - 2)**2/7
Let b(o) be the second derivative of 3*o**5/100 - o**4/20 - 1075*o + 3. Suppose b(a) = 0. What is a?
0, 1
Let l = -899/7260 - -17/121. Let n(p) be the second derivative of -l*p**6 + 1/40*p**5 + 24*p + 1/6*p**4 + 0*p**2 - 1/3*p**3 + 0. What is z in n(z) = 0?
-2, 0, 1, 2
Let o(c) = -c**4 + 163*c**3 + 164*c**2 + 2*c + 2. Let g(n) = 3*n**4 - 485*n**3 - 488*n**2 - 7*n - 7. Let b(a) = 4*g(a) + 14*o(a). Factor b(k).
-2*k**2*(k - 172)*(k + 1)
Let h(v) = -3*v**3 - 55*v**2 + 35*v - 55. Let q be h(-19). Factor -8/7 + 26/21*r - 2/21*r**q.
-2*(r - 12)*(r - 1)/21
Let t(c) be the first derivative of c**4/2 - 4172*c**3/3 + 1087849*c**2 - 9881. Solve t(h) = 0 for h.
0, 1043
Let t be (0 - 4/266)*(-29344)/262. Determine n so that 52/19*n**3 + 6/19*n**5 + 0 + 6/19*n + t*n**4 + 32/19*n**2 = 0.
-3, -1, -1/3, 0
Let s(h) be the first derivative of -25 + 2/3*h**3 - 3/5*h**2 - 4/5*h. Factor s(o).
2*(o - 1)*(5*o + 2)/5
Let k(t) be the third derivative of 0 + 39*t**2 + 0*t**4 + 0*t**3 + 1/420*t**6 + 0*t**5 + 0*t. Factor k(a).
2*a**3/7
Let a(o) = -3*o**3 + 3*o**2. Let k be a(2). Let b be (-8)/(-6) + ((-68)/k - 5). Factor 0*m**b + 0 + 0*m + 2/5*m**3.
2*m**3/5
Let d(a) = -a**3 - a - 2. Let f = -234 + 235. Let k(s) = 3*s**4 + 28*s**3 + 87*s**2 + 118*s + 56. Let g(c) = f*d(c) + k(c). Factor g(w).
3*(w + 1)*(w + 2)*(w + 3)**2
Suppose g - 120 = -9*g. Suppose 17*r - 30 = g*r. Let -2 + 7404*n - 2*n**3 + r - 7398*n = 0. What is n?
-1, 2
Let s(b) be the second derivative of 5*b**4 - 16*b**3 - 33*b**2/2 + 28*b. Let n(x) = -15*x**2 + 24*x + 8. Let c(m) = 15*n(m) + 4*s(m). Factor c(z).
3*(z - 2)*(5*z + 2)
Factor -20/9*p**2 - 16/9*p + 0 - 2/3*p**3.
-2*p*(p + 2)*(3*p + 4)/9
Let t(g) be the first derivative of -2*g**5/15 + 115*g**4/6 - 6496*g**3/9 - 3364*g**2/3 - 861. Let t(m) = 0. Calculate m.
-1, 0, 58
Let c(r) = -r**3 - 8*r**2 + 3*r + 10. Let s be c(-9). Let u = s - 47. Factor -20*n**2 + 24*n + u*n + 4 - 13*n - 12.
-4*(n - 1)*(5*n - 2)
Suppose 13*p - 34 = 31. Let j(i) = -i**2 + 19*i - 23. Suppose 0 = -t - 8 + 1. Let h(c) = -c**2 + 29*c - 35. Let f(l) = p*h(l) + t*j(l). Solve f(y) = 0.
-7, 1
Let i(y) be the third derivative of 7*y**8/144 + 11*y**7/90 + 4*y**6/45 + y**5/45 - 94*y**2. Factor i(m).
m**2*(m + 1)*(7*m + 2)**2/3
Let k(u) = 2*u**2 + 38*u + 122. Let o(i) = -i**3 + 16*i**2 - 3*i + 33. Let b be o(16). Let m be k(b). Let 0*g**3 + 2/7*g**m + 0*g + 0 - 2/7*g**4 = 0. What is g?
-1, 0, 1
Let t(q) be the second derivative of 2*q**6/15 - 628*q**5/5 + 43890*q**4 - 18520744*q**3/3 + 18258658*q**2 - 1192*q. Find p such that t(p) = 0.
1, 209
Let p(a) be the first derivative of a**6/3 - 12*a**5/5 + 4*a**4 + 4*a**3/3 - 9*a**2 + 8*a + 1230. Suppose p(t) = 0. What is t?
-1, 1, 4
Factor 20/3*u**3 + 0*u + 0*u**2 + 0 - 52/3*u**4 + 5/3*u**5.
u**3*(u - 10)*(5*u - 2)/3
Let l(m) = -3*m**3 - m**2. Let s(g) = 16*g**3 + 58*g**2 + 102*g. Let z(x) = 5*l(x) + s(x). Find r, given that z(r) = 0.
-51, -2, 0
Let h(x) = 141*x**2 + 21859*x + 625. Let i be h(-155). Factor 10/9 - 22/9*b - 14/9*b**4 + 20/9*b**3 + 4/9*b**2 + 2/9*b**i.
2*(b - 5)*(b - 1)**3*(b + 1)/9
Let d(u) = 3*u + 89. Let j be d(-28). Let b = 73/2 - 36. Determine c, given that -b*c**j - 3/2*c + 0 + c**4 + 2*c**3 - c**2 = 0.
-1, 0, 1, 3
Let x(y) = 5429*y**2 + 2 + 9 - 5441*y**2 + 107*y. Let l be x(9). Solve -5*f - 10/3 + 5/3*f**4 + 5/3*f**l + 5*f**3 = 0.
-2, -1, 1
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