+ 2)/3
Suppose 10 = -2*l, -g + 1052 = -40*l + 39*l. Factor g - 81*c**4 + 864*c**3 + 3*c**5 - 12711 + 2147*c + 9517*c - 4536*c**2.
3*(c - 6)**4*(c - 3)
Let v(m) be the first derivative of -5*m**3/3 + 5*m**2/2 + 10*m - 1038. Let v(g) = 0. What is g?
-1, 2
Let j(p) be the third derivative of p**7/5040 - p**6/160 + p**5/30 - 10*p**4/3 + 39*p**2. Let x(u) be the second derivative of j(u). Factor x(z).
(z - 8)*(z - 1)/2
Suppose 2*m - 3*r - 206 = 0, 3 + 100 = m + 5*r. Suppose -25 + 9 + 33 - 1211*d**2 - 306*d + 36*d**3 + m + 506*d**2 = 0. What is d?
-2/3, 1/4, 20
Let x(g) = -g**2 + 11*g - 13. Let h = 53 - 45. Let w be x(h). Solve -17*t**4 - t**5 - w*t**2 - 4*t**5 + 0*t - 2*t - t**3 - 20*t**3 = 0.
-1, -2/5, 0
Let j(w) be the first derivative of -152 - 16/7*w - w**2 + 2/21*w**3. Let j(n) = 0. What is n?
-1, 8
Let v = 435 - 190. Let u be (-3780)/v*1/(-2). Solve 3*f**3 + 60/7*f - 24/7 - 3/7*f**4 - u*f**2 = 0.
1, 2
Let s(m) = 2*m**3 - 3*m**2 - 4*m + 7. Let k be s(2). Find l, given that -17*l**2 + 6*l**k + 28*l**2 + 8*l**4 - 19*l**2 - 6*l = 0.
-1, -3/4, 0, 1
Suppose 2/3*x**3 + 220/3*x - 48 - 26*x**2 = 0. Calculate x.
1, 2, 36
Let a(s) = 12*s**5 - 10*s**4 + 68*s**3 - 36*s**2 + 14*s - 14. Let t(v) = -v**5 + v**4 - 2*v**3 + 6*v**2 - v + 1. Let h(k) = a(k) + 14*t(k). Factor h(m).
-2*m**2*(m - 6)*(m + 2)**2
Suppose -5*w + 20 = 0, 0*m = -m - 4*w + 19. Suppose m*v + 5*j = 9, j = 3*v - 6*v + 9. Factor v*c**3 - 5*c + c**3 + 0*c**3 + 3*c**2 + 4*c.
c*(c + 1)*(4*c - 1)
Factor 33/5*c**2 - 272/5*c + 48 - 1/5*c**3.
-(c - 20)*(c - 12)*(c - 1)/5
Let v(t) be the first derivative of -t**6/12 - 99*t**5/10 - 1199*t**4/4 + 450*t**3 + 1250*t**2 - 2977. Determine r, given that v(r) = 0.
-50, -1, 0, 2
Let a(v) be the second derivative of -v**6/270 + 19*v**5/45 - 361*v**4/18 + 52*v**3/3 - 81*v. Let j(m) be the second derivative of a(m). Factor j(c).
-4*(c - 19)**2/3
Suppose 7*k = -27*k + 2040. Let -50 + 104 + p + p**2 - k = 0. Calculate p.
-3, 2
Let b be (-1 - -3) + (9 - -15 - -2). Factor 6*u + 12*u**2 + b*u**2 - 119*u**3 - 7*u**2 + 80*u**3.
-3*u*(u - 1)*(13*u + 2)
Let g(s) be the first derivative of s**6/405 + 7*s**5/60 - 4*s**4/27 + 46*s**3/3 + 157. Let v(y) be the third derivative of g(y). Let v(o) = 0. Calculate o.
-16, 1/4
Let u(a) be the first derivative of -9*a**4/20 + 7*a**3 - 387*a**2/10 + 459*a/5 + 1147. Suppose u(b) = 0. Calculate b.
3, 17/3
Factor 26*t**2 + 92*t - 11 - 25*t**2 - 15 + 26.
t*(t + 92)
Factor -536/3 - 2/3*v**2 - 272/3*v.
-2*(v + 2)*(v + 134)/3
Let 15340*t + 344*t**3 - t**5 - 4562*t**2 + 68*t**4 - 3750*t**2 - 49*t**5 + 24*t**5 - 7436 + 22*t**5 = 0. What is t?
-11, 1, 13
Let p be (0 + 78)*75/50. Let i = -111 + p. Suppose -11*g**2 + i*g**2 + 0 + 4 + 1 = 0. What is g?
-1, 1
Let h(r) be the third derivative of r**5/120 + 25*r**4/24 - 17*r**3/4 + 550*r**2 + r. Find o, given that h(o) = 0.
-51, 1
Suppose 5*b + 93 = 123, -h + 8 = b. Determine i, given that 22/5 - 2/5*i**h - 4*i = 0.
-11, 1
Let t(j) be the second derivative of -j**6/6 + 3*j**5 - 55*j**4/6 - 70*j**3 - 245*j**2/2 - 738*j - 2. Factor t(a).
-5*(a - 7)**2*(a + 1)**2
Let p(r) be the second derivative of -1/78*r**4 - 12/13*r**2 + 0 + 33*r - 7/39*r**3. Suppose p(h) = 0. Calculate h.
-4, -3
Let x(t) be the second derivative of 12*t + 1/8*t**4 + 192*t**2 + 8*t**3 + 4. Let x(y) = 0. What is y?
-16
Suppose -1074/5*k - 1077/5 + 3/5*k**2 = 0. Calculate k.
-1, 359
Let j(n) = n**2 + 1. Suppose -p - 20 + 23 = 0. Let m(k) = 2 - 3*k**2 - 2*k - 3 - k - p. Let z(v) = -4*j(v) - m(v). Solve z(w) = 0 for w.
0, 3
Let u(z) be the third derivative of -2 + 0*z - 1/1050*z**7 + 9*z**2 + 11/600*z**6 - 4/5*z**3 - 19/150*z**5 + 13/30*z**4. Factor u(k).
-(k - 6)*(k - 2)**2*(k - 1)/5
Let t(c) be the third derivative of 1/525*c**7 + 1/60*c**4 + 15*c**2 - 1/150*c**5 + 0 + 0*c + 0*c**3 - 1/300*c**6. Factor t(m).
2*m*(m - 1)**2*(m + 1)/5
Let b(g) be the second derivative of 0 + 1/105*g**6 + 1/42*g**4 + 1/35*g**5 + 0*g**3 - 112*g + 0*g**2. Factor b(d).
2*d**2*(d + 1)**2/7
Let w(i) = 4*i**2 + 98*i + 80. Let t = 416 + -409. Let q(p) = -2*p**2 - 50*p - 40. Let v(z) = t*q(z) + 4*w(z). Let v(b) = 0. What is b?
-20, -1
Let f(x) = -32*x**2 + 492*x - 24. Let t(w) = -13*w**2 + 197*w - 10. Let v(u) = 5*f(u) - 12*t(u). Factor v(g).
-4*g*(g - 24)
Let o(p) be the third derivative of 0 + 5/6*p**3 + 92*p**2 + 1/120*p**6 + 0*p + 1/20*p**5 - 3/8*p**4. Let o(k) = 0. What is k?
-5, 1
Let u(b) = -3*b + 3*b + 5 - 1 - 10*b. Let w be u(-2). Factor 16*m**3 + 52*m**2 - w - 24*m + 24 + 4*m**3.
4*m*(m + 3)*(5*m - 2)
Let u(b) = 3*b**2 + 54*b - 184. Let j be u(-21). Let h(i) be the second derivative of 2/3*i**4 - 2/3*i**3 + 0 + 1/5*i**j + 3*i - 4*i**2. Factor h(q).
4*(q - 1)*(q + 1)*(q + 2)
Let l(n) be the third derivative of -n**5/30 - 137*n**4/12 - 136*n**3/3 - 693*n**2. Factor l(q).
-2*(q + 1)*(q + 136)
Let q(n) = 2*n**2 + 79*n - 18. Let y be q(-40). Factor 2*m + 21*m**5 - 5*m**2 + 3*m**3 - 1012*m**4 + 2 + 1013*m**4 - 2 - y*m**5.
-m*(m - 1)**3*(m + 2)
Let o = -33 + 103/3. Suppose 390*t - 13*t - 836*t = 0. Solve t - 8*v**2 + 0*v + o*v**5 - 28/3*v**3 + 0*v**4 = 0.
-2, -1, 0, 3
Let 0 + 81/5*v - 3/5*v**2 = 0. Calculate v.
0, 27
Let n(x) = -x**3 + 2*x. Suppose 0 = h - 10 + 14. Let y(m) = -10*m**3 - 51*m**2 - 16*m. Let s(k) = h*n(k) + y(k). Let s(v) = 0. Calculate v.
-8, -1/2, 0
Let w(p) be the third derivative of -p**8/84 + 22*p**7/105 + p**6/2 - 31*p**5/15 - 29*p**4/3 - 16*p**3 + 11*p**2 - 13*p. Solve w(j) = 0 for j.
-1, 2, 12
Let r(p) = p**2 - 337*p - 14447. Let u(y) = -305*y - 10747 - 33*y - 3701. Let x(w) = -2*r(w) + 3*u(w). Suppose x(l) = 0. What is l?
-85
Let k = 93079 - 93077. Factor -129/2*s + 16 + k*s**2.
(s - 32)*(4*s - 1)/2
Let g be 63/15 - (-1)/(-5). Let x(n) = n**5 + 2*n**3 + n. Let k(d) = d + 24*d**3 + d**5 + 22*d**3 - 45*d**3 - 5 + 5. Let b(o) = g*k(o) - 3*x(o). Factor b(y).
y*(y - 1)**2*(y + 1)**2
Factor -o**3 + 5*o - 72*o**2 + 134*o**2 - 58*o**2.
-o*(o - 5)*(o + 1)
Factor -288*n**4 + 3*n**3 - 152*n**4 - 24*n + 295*n**3 + 366*n**3 - 772*n**2 + 572*n**4.
4*n*(n - 1)*(n + 6)*(33*n + 1)
Solve -206/13*n**2 - 4510/13*n + 42350/13 - 2/13*n**3 = 0.
-55, 7
Let v = 1395 - 46034/33. Let w(l) be the second derivative of 3/55*l**5 + 25*l - 4/165*l**6 - 2/33*l**4 + v*l**3 + 0 + 0*l**2 + 1/231*l**7. Factor w(g).
2*g*(g - 1)**4/11
Let u(l) = 19 - 9 - 18 - 10 - 4*l. Let w be u(-6). Factor -w*b - 2*b - 4*b**5 + b**5 - 16*b + 60*b**2 + 21*b**4 - 54*b**3.
-3*b*(b - 2)**3*(b - 1)
Let y(i) be the first derivative of 1/90*i**6 - 1/2*i**4 + 0*i + 0*i**2 - 1/15*i**5 - 32 - 7/3*i**3. Let h(x) be the third derivative of y(x). Factor h(j).
4*(j - 3)*(j + 1)
Let u(s) be the second derivative of 4/27*s**3 - 31*s + 2 - 1/54*s**4 - 4/9*s**2. Suppose u(k) = 0. What is k?
2
Let g = -128 + 130. Suppose 1 = 5*f + 3*r - 11, -2 = g*r. Determine l, given that -1/2*l**f - 1/2*l**2 + l + 0 = 0.
-2, 0, 1
Let v(p) be the first derivative of -p**3/3 - 5*p**2 + 121*p + 69. Let y be v(-17). Suppose -64/5 + 96/5*z + 4/5*z**3 - 36/5*z**y = 0. Calculate z.
1, 4
Let q be (2 - 8) + 9 - (0 - 1). Determine i so that 172*i**4 - 2*i**5 - 164*i**4 + 0*i**5 - 12*i**3 + q*i**3 = 0.
0, 2
Suppose 0 = 4*c + 4*l + 8, -5*c - 3*l + 5*l = -18. Solve -75*f + 3*f + 0*f**2 - 2*f**c - 632 - 16 = 0 for f.
-18
Let m(t) = 4931*t + 177519. Let d be m(-36). Find j such that 1/3*j**4 - 3*j + 0 - 1/3*j**2 + 3*j**d = 0.
-9, -1, 0, 1
Let i = -25250 + 25252. Let n(c) be the third derivative of 3/7*c**4 + 27/35*c**5 + 0*c + 2/21*c**3 + 0 + 24*c**i. Factor n(r).
4*(9*r + 1)**2/7
Factor 90*c**2 + 2/3*c**3 + 1048/3 + 352*c.
2*(c + 2)**2*(c + 131)/3
Let r(s) be the first derivative of -2*s**5/15 - 7*s**4/18 + 20*s**3/3 - 56*s**2/9 + 1839. Solve r(y) = 0.
-7, 0, 2/3, 4
Let a be (-15)/(-9) + -1 - (-51)/(-306). Let l(k) be the first derivative of a*k**4 - k - k**2 + 7 + 0*k**3 + 1/5*k**5. Factor l(o).
(o - 1)*(o + 1)**3
Let s(h) be the third derivative of -h**7/210 - h**6/15 - 2*h**5/5 - 4*h**4/3 - 8*h**3/3 - 2*h**2 + 14*h. Suppose s(u) = 0. Calculate u.
-2
Let h be 100/(-210)*-35*(-11 - 54/(-4)). Find z, given that 25*z - h + 15*z**2 + 5/3*z**3 = 0.
-5, 1
Let c be (4/(-6))/((-3)/18). Suppose 2*s + d + c*d = 24, 2*d = -3*s + 14. What is n in 20*n**4 + 2*n**3 + 28*n**3 + 6*n - 3*n + s*n + 5*n**5 + 20*n**2 = 0?
-1, 0
Solve 1/2*g**4 + 3