 of -17*z**2 + 3/20*z**5 + 1/4*z**p + 0*z + 1/6*z**3 + 0. Find m such that s(m) = 0.
-1/3
Let l be ((-8)/(-10))/((-10)/(-50)). Factor 8*w - 4*w + 12*w - 4*w**3 + 107*w**l - 16*w**2 - 103*w**4.
4*w*(w - 2)*(w - 1)*(w + 2)
Let n(a) = 2*a - 44. Let g be n(20). Let i be ((-24)/g)/(15/5). Solve 2*y**4 + y**4 - y**i - 2*y**2 = 0 for y.
-1, 0, 1
Let r be ((-442)/(-663))/((-18)/(-49)). Let c(v) be the third derivative of 0*v - 30*v**2 - r*v**3 + 0 - 1/270*v**5 + 7/54*v**4. What is y in c(y) = 0?
7
Let d(w) be the first derivative of 28/9*w + 20/27*w**3 + 1/18*w**4 + 23/9*w**2 + 114. Solve d(v) = 0 for v.
-7, -2, -1
Let n(b) = 4*b**2 - 8*b + 4. Let y be n(2). Suppose 0 = 4*v - d - 420, v + y*v + 2*d = 512. Find x, given that x**3 - 4*x + v + 8*x**2 - 3*x**3 - 6*x - 100 = 0.
1, 2
Let w = 69190610/31712373 + 2/2882943. Factor -w*v - 2/11*v**2 - 54/11.
-2*(v + 3)*(v + 9)/11
Let f be ((-1)/(-3) + (-616)/(-33))/(-1). Let u = 26 + f. Let 4*s**2 + 37*s + 16 - u*s - 23*s - 27*s = 0. What is s?
1, 4
Let u(k) be the third derivative of -k**8/1848 - 16*k**7/1155 + 3*k**6/110 + 8*k**5/165 - 17*k**4/132 + 10*k**2 + 31. Let u(r) = 0. Calculate r.
-17, -1, 0, 1
Let o be (-17 + 672/((-448)/(-14)))/(4/2). Factor 3/7*y**o + 3/7*y**4 + 0*y + 0 + 6/7*y**3.
3*y**2*(y + 1)**2/7
Let v be -2*(79 - -3*(-2)/4). Let c = -772/5 - v. Factor 3/5*t**2 - 6/5*t**3 + c*t + 0.
-3*t*(t - 1)*(2*t + 1)/5
Let w = 897281 + -897245. Factor 246*g - 399*g**2 - w - 147/2*g**3.
-3*(g + 6)*(7*g - 2)**2/2
Let s(x) be the first derivative of x**7/420 + 7*x**6/90 + x**5 + 6*x**4 - 2*x**3 + 5*x**2/2 - 144. Let y(c) be the third derivative of s(c). Factor y(t).
2*(t + 2)*(t + 6)**2
Let s(w) be the second derivative of w**4/30 - 134*w**3/45 - 329*w**2/15 + 3981*w. Let s(k) = 0. Calculate k.
-7/3, 47
Let m(l) = 15*l**3 - 839*l**2 + 11596*l + 2352. Let g(v) = 195*v**3 - 10908*v**2 + 150750*v + 30576. Let h(d) = 2*g(d) - 27*m(d). Factor h(b).
-3*(b - 28)**2*(5*b + 1)
Let v(l) = 6*l**4 + 24*l**3 + 132*l**2 + 246*l + 67. Let p(h) = -11*h**4 - 49*h**3 - 263*h**2 - 477*h - 135. Let r(u) = -10*p(u) - 18*v(u). Factor r(s).
2*(s + 1)**2*(s + 3)*(s + 24)
Let f(y) be the second derivative of -81*y**5/50 + 87*y**4/10 - 49*y**3/5 + 23*y**2/5 - 1342*y. Factor f(b).
-2*(3*b - 1)**2*(9*b - 23)/5
Let k(i) be the first derivative of -i**3/3 + 110. Let m(q) = -5*q**3 - 7*q**2 + 30*q. Let g(o) = -2*k(o) + m(o). Solve g(b) = 0 for b.
-3, 0, 2
Let -24/7*h**2 + 0 + 100/7*h**4 - 8/7*h + 30/7*h**3 = 0. What is h?
-2/5, 0, 1/2
Factor -30*r - 16282 + 8222 + 2*r**2 + 8172.
2*(r - 8)*(r - 7)
Let b(h) be the second derivative of h**6/20 - 9*h**5/40 + 14*h - 12. Factor b(n).
3*n**3*(n - 3)/2
Solve -2*t**5 + 39*t**4 - 101*t - 17447408*t**2 + 114 + 0*t**3 - 5*t**3 + 17447147*t**2 = 0.
-2, -1, 1/2, 3, 19
Let w(d) be the second derivative of 1/66*d**4 + 43*d + 8/11*d**3 + 144/11*d**2 + 0. Factor w(b).
2*(b + 12)**2/11
Let c(j) be the first derivative of 1/3*j**3 - 1/12*j**4 - j + 3 + 1/6*j**2. Solve c(s) = 0 for s.
-1, 1, 3
Let r(v) = 4*v**2 - 238*v + 40. Let t(z) = z**2 - 34*z + 6. Let x(j) = 6*r(j) - 44*t(j). Determine l, given that x(l) = 0.
2/5, 3
Let k(a) be the first derivative of 3*a**5/10 - 405*a**4/4 + 8976*a**3 + 27744*a**2 + 1868. Factor k(j).
3*j*(j - 136)**2*(j + 2)/2
Let a(d) be the second derivative of d**7/21 - 263*d**6/15 - d**5/10 + 263*d**4/6 - 4468*d. Solve a(y) = 0.
-1, 0, 1, 263
Let v(p) be the third derivative of p**6/1140 - p**5/190 - 3*p**4/76 - 5*p**3/57 + 2*p**2 - 642*p. Factor v(f).
2*(f - 5)*(f + 1)**2/19
Let m(r) be the second derivative of 56/3*r**3 - 1/3*r**4 - 23*r - 392*r**2 + 1. Find y such that m(y) = 0.
14
Determine m, given that 3/4*m**3 - 1/4*m**5 - 13/4*m**2 - 5/2*m + 5/4*m**4 + 0 = 0.
-1, 0, 2, 5
Find r such that -12*r**3 - 52842*r**5 - 10*r**2 - 8*r**2 + 27*r + 2*r**4 + 52843*r**5 = 0.
-3, 0, 1, 3
Let n = 29 - 19. Suppose -5*s - 4*k + n + 20 = 0, 0 = 4*s - 2*k + 2. Determine c, given that 0*c - 8*c**4 + 0*c - 9*c**2 - 18*c**3 - s*c - 3*c**2 = 0.
-1, -1/4, 0
Let q(m) be the first derivative of 1/80*m**5 - 1/32*m**4 - 3/4*m**3 + 0*m + 27 - 9*m**2. Let x(v) be the second derivative of q(v). Factor x(h).
3*(h - 3)*(h + 2)/4
Let t(q) be the first derivative of -q**9/1512 - q**8/280 + q**7/105 - 4*q**3 - 11. Let u(y) be the third derivative of t(y). Suppose u(j) = 0. Calculate j.
-4, 0, 1
Let -32314*o**4 + 64626*o**4 - 198 - 44*o**3 - 32314*o**4 - 436*o - 280*o**2 = 0. What is o?
-11, -9, -1
Let z = -95708 - -95709. Factor -1/2*x**4 + 7/2*x - 9/2*x**2 - z + 5/2*x**3.
-(x - 2)*(x - 1)**3/2
Let m(g) = g**2 - 13*g + 16. Suppose 8*h + 24 = 10*h. Let o be m(h). Factor o*n**3 - 17*n**2 - n**3 + 20*n**2.
3*n**2*(n + 1)
Let j(r) be the first derivative of -r**4/120 + 17*r**3/30 - 42*r - 45. Let k(o) be the first derivative of j(o). Factor k(m).
-m*(m - 34)/10
Suppose -6*x - 94 + 176 = 58. Suppose -59/5*r**3 - 7/5*r**5 - 6/5*r + 37/5*r**x + 7*r**2 + 0 = 0. What is r?
0, 2/7, 1, 3
Let o be 3/(-9)*385 - 3/(-9). Let b = o + 130. Factor 24*t**3 - 16*t**2 - 11*t**2 - 8*t - 16*t - 5*t**b - 4*t**4 + 36.
-4*(t - 3)**2*(t - 1)*(t + 1)
Let i(t) = 9*t**2 - 270*t + 249. Let s(a) = -20*a**2 + 545*a - 499. Let b(z) = -13*i(z) - 6*s(z). Factor b(r).
3*(r - 1)*(r + 81)
Let o(n) be the third derivative of -n**8/1680 + n**7/210 + n**6/72 + 2*n**3 - 7*n**2 - 7*n. Let m(d) be the first derivative of o(d). Solve m(a) = 0.
-1, 0, 5
Let n(c) = -c**2 - 5*c. Let t be n(-4). Factor -13*h**2 + 7*h**3 + 8*h**2 - h**t - h**2.
-h**2*(h - 6)*(h - 1)
Let g(c) = -c**3 + 20*c**2 - 35*c + 6. Let z be g(18). Factor -67 + l**3 + 112 + 180 - 5*l**2 + 195*l - z*l**2.
(l - 15)**2*(l + 1)
Let t(r) be the second derivative of -r**6/210 - 69*r**5/70 + 139*r**4/84 + 3*r - 33. Factor t(h).
-h**2*(h - 1)*(h + 139)/7
Let b be (-8 - -5) + (-126)/(-30). Factor b*r**2 + 2/5*r**3 + 0*r + 0.
2*r**2*(r + 3)/5
Let m be (-52 - -18)/(0 - 2). Let a(f) be the first derivative of 1/3*f**4 - m + 0*f - 16/9*f**3 + 2*f**2. Determine x, given that a(x) = 0.
0, 1, 3
Solve -1094/3*j + 2/9*j**3 + 182*j**2 + 1642/9 = 0 for j.
-821, 1
Determine p, given that -1825*p**3 - 1823*p**3 + 5*p**2 + 3647*p**3 - p**2 - 3*p = 0.
0, 1, 3
Let f be 10 + (-6672)/(-420) + 2/(-7). Let w(g) = 2*g**2 + 4*g - 2. Let z be w(-3). Let 304/5*r**2 - 32/5 + 416*r**3 + 200*r**5 + 590*r**z - f*r = 0. What is r?
-2, -2/5, 1/4
Let v be (-16 - (-5456)/66)/(42/9). Factor -4/7*y**3 + 104/7*y**2 + 0 - v*y.
-4*y*(y - 25)*(y - 1)/7
Let g(l) be the first derivative of l**5 - 659*l**4/2 - 176*l**3 + 5403. Solve g(j) = 0 for j.
-2/5, 0, 264
Let q be (-2232)/(-1860) + (-2446)/(-70) + -28. Factor -55/7 + 111/7*p + 1/7*p**3 - q*p**2.
(p - 55)*(p - 1)**2/7
Let v(x) be the first derivative of -x**4/4 + 7. Let w be v(0). Factor w*i**3 - 4*i**3 + 32*i - 16*i**2 + 3*i**3 + 3*i**3.
2*i*(i - 4)**2
Let t(v) be the second derivative of 2*v**6/45 + 18*v**5/5 - 55*v**4/9 - 1185*v. Factor t(u).
4*u**2*(u - 1)*(u + 55)/3
Let n be 372/3069*(-11)/(-12). Let v(x) be the third derivative of -1/180*x**6 - 21*x**2 + 0 + 0*x - 1/180*x**5 + n*x**4 - 5/18*x**3. Factor v(m).
-(m - 1)**2*(2*m + 5)/3
Let n(y) be the second derivative of y**5/70 + 3*y**4/2 + 425*y**3/7 + 8125*y**2/7 - 2*y + 485. Solve n(j) = 0.
-25, -13
Let a = 103 + 4. Factor -p**2 + a*p**3 - 4*p**2 - 110*p**3 + 22*p.
-p*(p - 2)*(3*p + 11)
Let t = -60015 - -60017. Factor -3/5*i**t - 36/5 + 39/5*i.
-3*(i - 12)*(i - 1)/5
Let p be (9/(306/(-8)))/(202/(-1717)). Let -128/5 - 1080*l**p + 288*l + 1350*l**3 = 0. Calculate l.
4/15
Let b(k) be the first derivative of 4/3*k**3 + 0*k - 2*k**6 - 5*k**4 - 110 + 0*k**2 + 28/5*k**5. Factor b(i).
-4*i**2*(i - 1)**2*(3*i - 1)
Let c(j) be the first derivative of 111 + 85/4*j**4 + 0*j - 155/3*j**3 + 75/2*j**2 - j**5. Solve c(u) = 0.
0, 1, 15
Suppose 0 = 3*p + 5*w - 4, -4*p - 2*w + 4 = -6. Factor -599*c - 5*c**3 - 30*c**2 + 584*c + 3*c**p + 50 - 3*c**3.
-5*(c - 1)*(c + 2)*(c + 5)
Let 61*v - 962 - 951 + 110*v + 3*v**2 + 1739 = 0. Calculate v.
-58, 1
Let i(n) = -5421*n - 16261. Let o be i(-3). Determine r, given that 693/5*r**3 - 13*r**4 - 2299/5*r**o + 0 + 2/5*r**5 - 1331/5*r = 0.
-1/2, 0, 11
Let q = -3920 - -15683/4. Let y(r) be the first derivative of -r - 3/2*r**2 + 19/12*r**3 - 12 + q*r**4. Factor y(j).
(j + 2)*(3*j - 2)*(4*j + 1)/4
Suppos