*2. Suppose u(m) = 0. Calculate m.
-3, -1, 1
Let y(h) be the third derivative of 2*h**5/75 + h**4/60 + 466*h**2. Factor y(a).
2*a*(4*a + 1)/5
Solve 57/2*y**2 - 3/4*y**5 + 129/4*y + 9/2*y**3 - 15/4*y**4 + 45/4 = 0 for y.
-5, -1, 3
Let x(s) be the third derivative of 0*s**3 + 0 - 10*s**2 + 0*s + 0*s**5 - 1/60*s**6 + 1/12*s**4. Let x(n) = 0. Calculate n.
-1, 0, 1
Let y(g) be the first derivative of -g**5/75 + g**4/5 - 6*g**3/5 - 8*g**2 - 6. Let s(l) be the second derivative of y(l). Let s(p) = 0. Calculate p.
3
Let q(k) be the third derivative of -k**6/24 - 5*k**5/12 + 5*k**4/24 + 25*k**3/6 - 93*k**2. Let q(p) = 0. Calculate p.
-5, -1, 1
Let l = -1067 + 1071. Let r(i) be the third derivative of 0*i**l + 1/15*i**5 + 0*i - 2/3*i**3 + 0 + 5*i**2. Factor r(g).
4*(g - 1)*(g + 1)
Let l be 10/(-2)*550/(-6875). Factor 0*q + 0 - 4/5*q**3 + l*q**4 + 2/5*q**2.
2*q**2*(q - 1)**2/5
Let i(y) = 7*y**2 + y - 1. Let m be i(-2). Suppose -q - m = -6*q + 3*s, -q + 22 = -4*s. Suppose -1/3*x**3 - 2/3 - 4/3*x**q - 5/3*x = 0. Calculate x.
-2, -1
Suppose 4*h - 3*f = -15 + 42, 3*h = 5*f + 12. Factor 20*r**2 - h*r**3 + 10 - 10*r + 0*r**3 + 35*r + 14*r**3.
5*(r + 1)**2*(r + 2)
Find a such that 595*a**5 - 1512*a**3 + 143*a**5 + 480*a**2 + 4*a - 59*a + 291*a**5 + 1176*a**4 + 7*a = 0.
-2, 0, 2/7
Suppose 4*f = 5*m + 4 - 29, -4*m = -f - 20. Let g(t) be the third derivative of 0*t**4 + f*t + 0 + 1/20*t**5 - 4*t**2 + 0*t**3. Suppose g(j) = 0. What is j?
0
Let k(f) be the third derivative of 1/75*f**6 + 1/60*f**4 + 0*f**3 + 2*f**2 + 0 - 1/30*f**5 + 0*f. Factor k(i).
2*i*(i - 1)*(4*i - 1)/5
Let y(c) = 17*c**4 + 31*c**3 + 33*c**2 - 72*c - 9. Let u(j) = -4*j**4 - 8*j**3 - 8*j**2 + 18*j + 2. Let x(z) = 9*u(z) + 2*y(z). Factor x(d).
-2*d*(d - 1)*(d + 3)**2
Factor -22/7*l - 8/7*l**3 + 4/7 + 26/7*l**2.
-2*(l - 2)*(l - 1)*(4*l - 1)/7
Suppose -v + b = 1, 106*v + 11 = 111*v - b. Factor -1/4*l**v - 27/4 - 27/4*l - 9/4*l**2.
-(l + 3)**3/4
Factor -2/9*n**2 + 56/9*n - 6.
-2*(n - 27)*(n - 1)/9
Let c = -4007 + 4011. Suppose 2/9*o**c + 0*o**2 + 2/9*o**5 + 0*o**3 + 0*o + 0 = 0. Calculate o.
-1, 0
Let p(m) = -15*m**3 - 5*m**2 + 5. Let z(u) = -8*u**3 - 3*u**2 + 3. Let c(h) = 6*h**3 + h**2. Let d be c(-1). Let l(y) = d*z(y) + 3*p(y). Factor l(w).
-5*w**3
Let a = 20 + -15. Factor -3*n + 3*n**3 - 3*n - a - n**3 + 1.
2*(n - 2)*(n + 1)**2
Let y(q) be the first derivative of -17*q**4/2 + 8*q**3/3 - 4*q**2/17 + 223. Factor y(o).
-2*o*(17*o - 2)**2/17
Let i(r) be the second derivative of -36*r**4 + 215*r**3/3 + r**2 - 8*r + 31. Let i(o) = 0. Calculate o.
-1/216, 1
Let q(c) = -c**3 + 8*c**2 + 2*c - 2. Let r be q(8). Factor 0*o**3 - 2*o**3 - 4*o**5 - r*o**3 + 5*o**4 + 11*o**4.
-4*o**3*(o - 2)**2
Let r(v) be the second derivative of -v**7/840 - v**6/240 + v**5/20 + v**4/2 - 11*v. Let l(m) be the third derivative of r(m). Suppose l(g) = 0. What is g?
-2, 1
Let y(c) = 19*c**2 + 7*c + 13. Let t(r) = -9*r**2 - 3*r - 6. Let x be (-2 + 1)/((-1)/(-13)). Let q = 53 + -59. Let l(b) = q*y(b) + x*t(b). Factor l(w).
3*w*(w - 1)
Let z(p) be the first derivative of p**6/480 + 3*p**3 - 4. Let m(h) be the third derivative of z(h). Determine v, given that m(v) = 0.
0
Let z(j) be the third derivative of 11/4*j**4 - 18*j**2 + 121/2*j**3 + 0 + 1/20*j**5 + 0*j. Factor z(h).
3*(h + 11)**2
Let p = 14 + -12. Factor -4*j**3 - 12*j**2 + 2*j**3 - 4 - p*j**3 - 12*j.
-4*(j + 1)**3
Let z be (-4 - (4 + -4))*-4. Let n = -14 + z. Determine b so that -8*b**3 - 4*b**4 + 6*b**n - b**2 + 8*b - b**2 = 0.
-2, -1, 0, 1
Let z be (-2)/(5*(-6)/72). Let r(i) be the first derivative of 8*i**6 - 3 + 0*i**2 + i**3 + z*i**5 - 21/4*i**4 + 0*i. Suppose r(g) = 0. What is g?
-1, 0, 1/4
Solve -5*k**4 - 13*k - 29*k + 55*k**2 - 41*k + 40 - 7*k = 0.
-4, 1, 2
Let t(i) be the second derivative of -4/11*i**2 + 0 + 33*i + 8/33*i**3 - 5/66*i**4 + 1/110*i**5. Determine f, given that t(f) = 0.
1, 2
Let c(x) be the second derivative of -x**6/135 + x**5/45 + x**4/18 + 5*x + 1. Factor c(z).
-2*z**2*(z - 3)*(z + 1)/9
Let g(f) be the third derivative of f**8/336 + f**7/35 + f**6/24 - 456*f**2. Find c such that g(c) = 0.
-5, -1, 0
Let m(i) = 3*i**2 - i - 1. Let h be m(-1). Suppose 0 = -q - 4, 2*n - h*n = 4*q + 16. Factor -1/4*w + n - 1/4*w**2 + 1/4*w**3 + 1/4*w**4.
w*(w - 1)*(w + 1)**2/4
Find x, given that 75*x**2 - 6 + 40*x - 6 + 20*x**3 - 3 = 0.
-3, -1, 1/4
Let n be (0 - 2 - -17)/5. Factor 0*q + 2/3*q**n - 2/3*q**4 - 2/3*q**5 + 0 + 2/3*q**2.
-2*q**2*(q - 1)*(q + 1)**2/3
Let c = -9012/19 + 474. Let k = 55/114 + c. Find n, given that k + 1/3*n + 1/6*n**2 = 0.
-1
Suppose 2*r = -r + 45. Suppose -r + 9 = -2*b. Find t, given that 2 - 7*t**2 - t - 2*t**2 + t**b + 2*t**4 + 6*t**2 - 1 = 0.
-1, 1/2, 1
Let p(y) be the first derivative of 7 + 1/3*y**3 - y + 1/2*y**2 - 1/4*y**4. Factor p(q).
-(q - 1)**2*(q + 1)
Let x be (810/(-1350))/(3/(-20)). Factor 0 + 1/6*g**5 - 1/2*g**x + 1/2*g**2 - 1/3*g + 1/6*g**3.
g*(g - 2)*(g - 1)**2*(g + 1)/6
Let i(j) be the first derivative of j**6/18 + j**5/15 - 7*j**4/6 + 4*j**3/9 + 20*j**2/3 - 32*j/3 + 133. Find l, given that i(l) = 0.
-4, -2, 1, 2
Let j = 402 + -398. Let h(n) be the first derivative of -1/3*n**3 + 1 + 0*n + 0*n**2 - 1/4*n**j. Suppose h(r) = 0. Calculate r.
-1, 0
Factor -1/3*p**2 + 7/3 - 2*p.
-(p - 1)*(p + 7)/3
Let i(h) be the third derivative of 1/840*h**8 + 0*h + 0 - 1/150*h**5 + 0*h**3 - 1/175*h**7 + 1/100*h**6 - 9*h**2 + 0*h**4. Factor i(z).
2*z**2*(z - 1)**3/5
Let y = 87 - 75. Suppose 52*l - 46*l - y = 0. Determine i so that 0*i + 2/7*i**l - 2/7*i**3 + 0 + 2/7*i**5 - 2/7*i**4 = 0.
-1, 0, 1
Factor 2*n**2 + 99 - 85*n - n**2 + 3*n**2 - n**2 + 127*n.
3*(n + 3)*(n + 11)
Let m = 12799/7 + -1828. Solve m*w**2 + 0 - 12/7*w = 0.
0, 4
Let z(q) be the third derivative of -q**8/924 - q**7/165 - q**6/220 + 7*q**5/330 + 5*q**4/132 + 36*q**2 - 2. Solve z(r) = 0 for r.
-5/2, -1, 0, 1
Let a be 2/5 + 6/(-15). Suppose a = -g + 3*g - 10. Let -5*r**2 + 2*r**5 + 2*r**4 - r**5 - r + 0*r**g + 3*r**2 = 0. Calculate r.
-1, 0, 1
Suppose 3 = 5*i - 37. Let d be -3*i/(-12) + 1. Factor -11*k**3 - 6*k**3 - 8*k**5 - 4*k**2 - 20*k**4 + k**d.
-4*k**2*(k + 1)**2*(2*k + 1)
Let h = -3141/20 + 157. Let q = 71/180 - h. Factor 2/9*w**3 - 8/9*w**2 + 10/9*w - q.
2*(w - 2)*(w - 1)**2/9
Let x(l) = 17*l**2 + 5*l. Let c be (-219)/(-21) + (-32)/(-56). Let k(p) = -9*p**2 - 3*p. Let z(r) = c*k(r) + 6*x(r). Factor z(a).
3*a*(a - 1)
Let j = 4/247 + 968/1235. Let -8/5 + j*i**4 + 12/5*i**3 - 12/5*i + 4/5*i**2 = 0. Calculate i.
-2, -1, 1
Let h(r) = -14*r**2 + 30*r + 160. Let b(u) = u**2 - 4*u - 1. Let a(i) = 16*b(i) + h(i). Let a(m) = 0. What is m?
8, 9
Factor -2 - 52*p**2 + 1138*p - 4*p**3 + 2 - 1082*p.
-4*p*(p - 1)*(p + 14)
Let j(u) = u**5 - 11*u**4 - 4*u**2 - u + 3. Let g(y) = 7*y**5 - 72*y**4 - y**3 - 25*y**2 - 6*y + 19. Let z(n) = -6*g(n) + 39*j(n). Factor z(q).
-3*(q - 1)**3*(q + 1)**2
Let z(l) be the second derivative of -l**4/72 + 17*l**3/36 - 7*l**2/2 + 22*l + 3. Factor z(o).
-(o - 14)*(o - 3)/6
Let y be (((-9)/4)/((-6)/4))/(-1 + 4). Suppose -y*t + 1/3 + 1/6*t**2 = 0. What is t?
1, 2
Let m(q) be the third derivative of q**8/84 + 8*q**7/105 - q**6/15 - 4*q**5/5 + 3*q**4/2 - 15*q**2 + 5*q. Solve m(j) = 0.
-3, 0, 1
Let f be (12/8)/((-60)/(-80)). Let w(c) be the third derivative of 0*c + 0*c**3 + 0 + 1/70*c**7 + 9/20*c**5 + 3/20*c**6 - 5*c**f + 0*c**4. Factor w(p).
3*p**2*(p + 3)**2
Let k(m) = -263*m - 2889. Let i be k(-11). Factor 0*s + 2/9*s**3 + 2/9*s**i + 0 + 0*s**2.
2*s**3*(s + 1)/9
Let q(v) be the third derivative of -v**8/10080 + v**7/840 - v**6/180 - v**5/15 + 7*v**2. Let y(x) be the third derivative of q(x). Find a such that y(a) = 0.
1, 2
Let o(n) be the third derivative of -n**8/1344 + n**7/420 + n**6/160 - n**5/60 - n**4/24 + 46*n**2. Find v, given that o(v) = 0.
-1, 0, 2
Let t = -2147/68 + 1076909/33660. Let b = t - 2/99. Factor 0 + 2/5*q**3 + 0*q + b*q**2.
2*q**2*(q + 1)/5
Let b(w) be the third derivative of w**6/1020 + 7*w**5/510 + 11*w**4/204 + 5*w**3/51 + 505*w**2. Determine x, given that b(x) = 0.
-5, -1
Let r be (18 - 4) + -1 + 4. Let n = 20 - r. Suppose -6 + 6*o + 4*o**3 + 2*o**n - 24*o**2 + 16*o - o - 3*o**5 + 6*o**4 = 0. Calculate o.
-2, 1
Let m(g) = -4 - 7*g + 23*g + 6*g**2 - 5*g - 7*g - 2*g**3. Let c(k) = -k**3 + 6*k**2 + 4*k - 3. Let z(o) = 4*c(o) - 3*m(o). 