tor 11*o**2 - 289/3 - 85*o - 1/3*o**3.
-(o - 17)**2*(o + 1)/3
Let g be 16/(-4) - -12*4. Let c be g/(-8)*-4 + -2. Factor 7*w**2 - w**2 - 11*w**2 - c*w.
-5*w*(w + 4)
Find a such that 26*a - 123*a + 12*a**2 - 129*a - 7*a**2 - 304*a = 0.
0, 106
Solve 33 - l**4 + 64*l**3 - 177 + 364*l**2 + 304*l + 2*l**4 - 13*l**4 = 0.
-2, 1/3, 9
Let r(b) = b**3 + 17*b**2 + 14*b - 28. Let p be r(-16). Determine a so that 0 + 1/6*a**5 - 1/3*a**p - 2/3*a**3 + 4/3*a**2 + 0*a = 0.
-2, 0, 2
Let q(v) be the third derivative of v**11/2993760 - v**9/544320 + 2*v**5/15 + v**2. Let z(p) be the third derivative of q(p). Factor z(k).
k**3*(k - 1)*(k + 1)/9
Let h(p) = -p**2 - 9*p - 3. Let c be h(-8). Suppose -4*f + 8 = 2*o + 2, 0 = 3*f + o - c. Factor 2*v**3 - 10*v**2 + f*v**2 + 4*v**2.
2*v**2*(v - 2)
Let q(d) be the second derivative of -d**8/5600 - d**7/700 - d**6/300 + 37*d**4/12 + 11*d. Let l(j) be the third derivative of q(j). Factor l(y).
-6*y*(y + 1)*(y + 2)/5
Let t(a) be the first derivative of 2*a**3/39 + 410*a**2/13 + 84050*a/13 + 153. Factor t(b).
2*(b + 205)**2/13
Suppose 2*b = -0*b. Suppose -w + 4*n = 3*n + 3, -4*w = n - 3. Factor -2/5*t**3 + 2/5*t + w*t**2 + b.
-2*t*(t - 1)*(t + 1)/5
Let s be 77/(-11) - (-150)/20. Factor -1/6*o**2 + s*o + 2/3.
-(o - 4)*(o + 1)/6
Factor 1/7*s + s**2 + 0.
s*(7*s + 1)/7
Let 3/2*a**2 - 72*a - 147/2 = 0. What is a?
-1, 49
Let x(y) = -4*y**2 - 13*y + 169. Let m be x(5). Let -20*n + 5/2*n**m - 10 - 5/2*n**2 + 25/2*n**3 - 5/2*n**5 = 0. Calculate n.
-1, 2
Let l be ((-11)/(-8))/11 - (-1)/(-8). Let v(a) be the first derivative of 1/3*a**3 - 1/2*a**2 - 1/5*a**5 + l*a + 1/4*a**4 + 1. Solve v(w) = 0 for w.
-1, 0, 1
Suppose 14 = 2*m - 6. Suppose -2*c + 2*s = 0, 4*s + 7 = -2*c + 25. Suppose -14*n**3 + 25*n**3 + 2*n**2 - n**5 - 2*n**4 - m*n**c = 0. What is n?
-2, -1, 0, 1
Factor -20*w**4 - 35*w**3 + 3*w**2 + 28*w**3 - 11*w**5 - 2*w**5 + 2*w**5 - w**2.
-w**2*(w + 1)**2*(11*w - 2)
Suppose 23*h + 17 = -190. Let q be -2 + (-51)/h + -2. Solve -35/3*w - 15*w**2 - q*w**4 - 25/3*w**3 - 10/3 = 0 for w.
-2, -1
Factor -8*t**2 + 304*t + 13*t**2 - 4*t**2 - 5776 - 5*t**2.
-4*(t - 38)**2
Solve 54*g**2 - 284*g**4 - 356*g - 648 + 287*g**4 + 33*g**3 + 32*g = 0.
-6, -2, 3
Solve 48/5*q - 27/5*q**3 - 3/5*q**4 - 18/5*q**2 + 0 = 0 for q.
-8, -2, 0, 1
Let h(p) be the first derivative of -7*p**3 + 225*p**2/2 + 66*p - 173. Solve h(l) = 0 for l.
-2/7, 11
Determine g so that -6/7*g**2 - 36/7*g + 2/7*g**5 + 2*g**4 + 26/7*g**3 + 0 = 0.
-3, -2, 0, 1
Let g = 29 + -26. Determine q so that -g*q**2 - q**2 - 10 + 34 - 20 = 0.
-1, 1
Suppose 2/5*p**3 - 16/5 - 12/5*p**2 + 24/5*p = 0. What is p?
2
Let f(d) = -20*d**5 - 10*d**4 + 10*d**3 + 5*d**2 - 5. Let g(q) = 20*q**5 + 9*q**4 - 11*q**3 - 6*q**2 + 6. Let m(p) = -6*f(p) - 5*g(p). Factor m(l).
5*l**3*(l + 1)*(4*l - 1)
Let i = -143/45 - -17/5. Let y be 10*987/9450 - 3/5. Factor y + i*f**4 + 2*f**2 + 10/9*f**3 + 14/9*f.
2*(f + 1)**3*(f + 2)/9
Let z(p) be the first derivative of 7*p**3 + 3*p**4 - p**5 + 9 - 10*p**3 - 41 + p**2. Suppose z(j) = 0. What is j?
0, 2/5, 1
Let z(n) be the third derivative of 7*n**2 + 0 + 0*n + 0*n**4 + 0*n**5 + 3/784*n**8 - 1/70*n**7 + 0*n**3 + 1/140*n**6. Factor z(w).
3*w**3*(w - 2)*(3*w - 1)/7
Let o = -74 - -76. Let 563*f + 15*f**4 + 337 + 190*f**3 + 400*f + 840*f**o + 303 + 477*f = 0. Calculate f.
-4, -2/3
Let v = -21 + 20. Let k be (1 - 4/(-40)) + v/2. Factor -k*n + 2/5 + 1/5*n**2.
(n - 2)*(n - 1)/5
Let b be ((-16)/(-10))/(14/35). Suppose 0 = -y - b + 6. Let 4/5*l**3 + 2/5*l**4 - 2/5*l**5 - 4/5*l**y + 2/5 - 2/5*l = 0. Calculate l.
-1, 1
Let x(d) be the third derivative of d**8/1176 + d**7/49 + 83*d**6/420 + 209*d**5/210 + 20*d**4/7 + 100*d**3/21 + 2*d**2 + 114*d. What is j in x(j) = 0?
-5, -2, -1
Let g be 24 - (-16 - 1400/(-60)). Factor -g*m - 55/3 + 5/3*m**2.
5*(m - 11)*(m + 1)/3
Let t(s) be the first derivative of 5*s**4/4 - 10*s**3 + 25*s**2/2 + 279. Solve t(y) = 0 for y.
0, 1, 5
Let n(h) be the third derivative of 0*h**3 - 16*h**2 + 0*h - 1/45*h**5 + 2/315*h**7 - 1/90*h**6 + 0 + 1/18*h**4. Find j such that n(j) = 0.
-1, 0, 1
Factor -3/4*y**2 - 1 + 1/2*y**3 - 2*y + 1/4*y**4.
(y - 2)*(y + 1)**2*(y + 2)/4
Let z(r) = 16*r**3 + 320*r**2 + 2025*r + 3975. Let s(l) = -4*l**3 - 80*l**2 - 506*l - 994. Let o(g) = -25*s(g) - 6*z(g). Find t, given that o(t) = 0.
-10, -5
Let r be (-5 - 11/(-2))*1. Let t(d) be the third derivative of 1/60*d**5 - r*d**3 + 0*d - 1/12*d**4 + 2*d**2 + 0. Let t(h) = 0. What is h?
-1, 3
Let h(o) be the second derivative of 5*o**4/12 + 15*o**3 + 85*o**2/2 - 8*o - 2. Factor h(k).
5*(k + 1)*(k + 17)
Find x, given that 2*x**3 - 206/5*x - 12 - 136/5*x**2 = 0.
-1, -2/5, 15
Determine s, given that 4 + 0*s + 1 - 4 - s - 7 + s**2 = 0.
-2, 3
Let b(w) be the third derivative of -w**7/210 - 7*w**6/20 + 43*w**5/60 + 255*w**2. Find g, given that b(g) = 0.
-43, 0, 1
Determine n, given that 66/7*n**3 - 6*n + 15/7*n**2 + 0 + 9/7*n**4 = 0.
-7, -1, 0, 2/3
Find m such that -100/7 - 101/7*m - 1/7*m**2 = 0.
-100, -1
Factor 570/13*y**2 + 54150/13*y + 2/13*y**3 + 1714750/13.
2*(y + 95)**3/13
Factor 2/19*c**2 - 204/19*c + 5202/19.
2*(c - 51)**2/19
Let x(n) be the second derivative of -n**6/60 - n**5/15 + n**4/3 + 8*n**3/3 + n**2/2 - 4*n. Let y(h) be the first derivative of x(h). Let y(t) = 0. What is t?
-2, 2
Let n(t) be the third derivative of 2*t**7/105 + 2*t**6/5 + 2*t**5/3 - 2*t**4 - 22*t**3/3 - 4*t**2 + 30. Let n(q) = 0. Calculate q.
-11, -1, 1
Let w = 468/19 + -1328/57. Let t(d) be the first derivative of -7/3*d**2 - 2 - w*d - 2*d**3 - 2/15*d**5 - 5/6*d**4. Factor t(n).
-2*(n + 1)**3*(n + 2)/3
Let t(f) be the second derivative of 1/24*f**3 + 0 + 1/24*f**4 - 13*f + 1/80*f**5 + 0*f**2. Solve t(r) = 0.
-1, 0
Factor 261/7 + 258/7*l - 3/7*l**2.
-3*(l - 87)*(l + 1)/7
Let p(q) = -5*q**3 + 93*q**2 - 360*q + 328. Let y(f) = 5*f**3 - 95*f**2 + 360*f - 330. Let n(j) = 5*p(j) + 6*y(j). Factor n(c).
5*(c - 17)*(c - 2)**2
Let r(w) be the second derivative of 3*w**4/4 - 7*w**3/6 + 478*w. Factor r(v).
v*(9*v - 7)
Suppose -5*f + 21 = 1. Suppose 0*k + k = f*c - 17, -10 = -2*c. Find n, given that 8/3*n**2 + 2/3*n + 0 + 2/3*n**5 + 8/3*n**4 + 4*n**k = 0.
-1, 0
Let o(y) = -23*y**2 - 16*y + 167. Let w(c) = -15*c**2 - 10*c + 110. Let n(t) = -5*o(t) + 8*w(t). Solve n(f) = 0 for f.
-3, 3
Factor -36*r**2 + 74*r - 40 + 9*r - 24 + 4*r**3 + 13*r.
4*(r - 4)**2*(r - 1)
Suppose -j + 2*j - 12 = -2*z, 0 = -2*z + j + 4. Determine b, given that 24 - 293*b**2 - 37*b + 10*b**z + 16*b**3 - 3*b + 235*b**2 = 0.
-3, -1, 2/5, 2
Let s = 546 + -132. Let y be (-2)/9 - (-230)/s. Factor -y*i**2 + 1/3 + 0*i.
-(i - 1)*(i + 1)/3
Let x(s) = -5*s**3 - 11*s**2 + 2*s + 12. Let f(t) = -6*t**3 - 12*t**2 + 3*t + 12. Suppose -w = 7*w + 24. Let b(a) = w*x(a) + 2*f(a). Factor b(h).
3*(h - 1)*(h + 2)**2
Suppose 3*k = -5*p + 26, -2*k + 0 = -4*p + 12. What is i in -11*i + 20*i**2 + 24 - i - p*i**3 - 60 = 0?
-1, 3
Let c(j) be the third derivative of j**8/1344 + j**7/504 - j**6/72 + 17*j**4/24 - 6*j**2. Let u(b) be the second derivative of c(b). Factor u(d).
5*d*(d - 1)*(d + 2)
Let -s**4 - 10*s + 8*s + 21*s - 14*s**3 + 16*s**3 - 21*s**2 - 6 + 7*s**3 = 0. What is s?
1, 6
Let x(q) be the first derivative of -q**4/12 + 2*q**3/3 - 3*q**2/2 + 147. Factor x(z).
-z*(z - 3)**2/3
Let b(m) be the first derivative of -915*m**4/4 + 905*m**3/3 + 5*m**2 + 630. Factor b(f).
-5*f*(f - 1)*(183*f + 2)
Let x(c) be the second derivative of -c**4/90 + 184*c**3/45 - 8464*c**2/15 - 2*c - 320. Factor x(v).
-2*(v - 92)**2/15
Let o be 6 - ((-20)/25 - (-16)/(-5)). What is h in -o*h + 8 + 16 + 60*h**2 - 66*h**2 - 2*h + 3*h**3 = 0?
-2, 2
Let u(c) be the first derivative of 3*c**5/20 - 3*c**4/16 - c**3/2 + 237. Suppose u(q) = 0. What is q?
-1, 0, 2
Let g(t) be the second derivative of -1/3*t**3 + 0 - 1/8*t**4 - 1/60*t**5 - 3*t**2 + 3*t. Let z(r) be the first derivative of g(r). Factor z(x).
-(x + 1)*(x + 2)
Suppose 0 = 57*l + 429 - 543. Factor 6*j + 9/4 + 2*j**3 + 1/4*j**4 + 11/2*j**l.
(j + 1)**2*(j + 3)**2/4
Suppose 0 - w - 1/8*w**2 = 0. What is w?
-8, 0
Find q, given that 48/7 - 45/7*q**2 - 24/7*q + 27/7*q**3 = 0.
-1, 4/3
Let u = -414 + 419. Let k(j) be the first derivative of -6 - 18/25*j**u + 8/5*j**2 + 8/3*j**3 + 3/5*j**4 + 0*j. Factor k(p).
-2*p*(p - 2)*(3*p + 2)**2/5
Suppose -5*l = -4*l. Let n b