b**3/12 + 451. Suppose q(y) = 0. What is y?
-1, 0, 1
Let b(h) be the first derivative of h**4/18 - h**3/3 - 14*h - 10. Let j(m) be the first derivative of b(m). Solve j(r) = 0.
0, 3
Suppose 0 = -9*v + 159 + 84. Let g be 9/v*(-3)/(-4). Factor 0*b**2 + 1/2 + g*b**3 - 3/4*b.
(b - 1)**2*(b + 2)/4
Let g(b) be the third derivative of -b**10/378000 + b**8/50400 + 2*b**5/15 + 14*b**2. Let n(p) be the third derivative of g(p). Suppose n(u) = 0. What is u?
-1, 0, 1
Let m(s) be the first derivative of -s**4/2 + 4*s**3 - 5*s**2 - 24*s + 6. Solve m(q) = 0 for q.
-1, 3, 4
Let -4/5*u**2 - 14/5*u + 4/5 + 14/5*u**3 = 0. Calculate u.
-1, 2/7, 1
Let k(p) = -p**2 + 9*p - 5. Let s be k(8). Solve 3*g**4 - 101 + 7*g**3 + s*g**2 + 101 - g**3 = 0 for g.
-1, 0
Solve 10161*x**2 + 734 + 10242 + 262*x**4 + 5687*x**2 + 2692*x**3 - 86*x**4 + 4*x**5 + 24304*x = 0 for x.
-14, -1
Let v(m) = 3*m**4 - 2*m**3 - 11*m**2 + 8*m. Let t(z) = 65*z**4 - 45*z**3 - 240*z**2 + 175*z. Let g(x) = -2*t(x) + 45*v(x). Solve g(f) = 0 for f.
-2, 0, 1
Let q = -83 + 88. Suppose 7*r = r - q*r. Solve 9/5*v**2 - 3/5*v**3 + r*v + 0 = 0.
0, 3
Suppose 73 - 18 = 5*d. Suppose -d*v = -5*v - 18. Find k, given that 54/7 - 2/7*k**4 - 16/7*k**v + 0*k - 36/7*k**2 = 0.
-3, 1
Let q(g) = -6*g**4 - 9*g**3 + 21*g**2 + 9*g + 6. Let d(t) = -t**3 + t**4 + t**3 - 4*t**2 - 2*t - 4*t**3 - 1 + 6*t**3. Let p(z) = -21*d(z) - 4*q(z). Factor p(u).
3*(u - 1)**3*(u + 1)
Suppose -204 = -60*k + 396. Let j(h) be the second derivative of 0*h**2 + 0 - k*h - 1/24*h**4 + 1/60*h**6 - 1/4*h**3 + 3/40*h**5. Solve j(c) = 0 for c.
-3, -1, 0, 1
Suppose -4/3*c**2 - 400/3 - 80/3*c = 0. What is c?
-10
Let h(c) be the third derivative of 0 - 1/15*c**3 - 32*c**2 - 1/600*c**6 + 0*c**5 + 1/40*c**4 + 0*c. Find x such that h(x) = 0.
-2, 1
Let f(n) be the second derivative of -n**7/84 + n**5/10 - n**4/12 - n**3/4 + n**2/2 + 16*n. Determine y, given that f(y) = 0.
-2, -1, 1
Factor 243*o - 320*o**2 + 25*o**3 + 1458 - o**4 - 180*o**2 + 311*o**2.
-(o - 9)**3*(o + 2)
Factor 4*u**2 + 1656 - 1659 - 2*u - 3*u**2.
(u - 3)*(u + 1)
Let x(r) be the first derivative of 1/9*r**3 - 2/3*r**2 + 1/18*r**4 - 2*r - 6. Let m(l) be the first derivative of x(l). Solve m(v) = 0 for v.
-2, 1
Let p(r) be the second derivative of 0*r**4 + 0 - 1/4*r**5 - 13*r + 1/28*r**7 + 1/2*r**2 + 7/12*r**3 - 1/30*r**6. Let p(x) = 0. What is x?
-1, -1/3, 1, 2
Let g = 1866 - 1862. Determine l, given that -g + 44/3*l + 16/3*l**2 = 0.
-3, 1/4
Let i = 37433 - 112297/3. Factor -2/5*r - 2/15*r**3 + 6/5 - i*r**2.
-2*(r - 1)*(r + 3)**2/15
Suppose -2*t + v = 2*t - 13, 3*v + 9 = -3*t. Determine s, given that -363 + 13*s**2 - 66*s - 11*s**t - 5*s**2 = 0.
-11
Solve 4*a**2 - 10*a**3 + a**3 + 2*a**2 + 3*a**4 = 0.
0, 1, 2
Let c be 8/(-32)*(-2 - -5 - 3). Let f = 13/63 + 1/63. Factor c + f*g**4 + 0*g + 0*g**3 + 0*g**2.
2*g**4/9
Let p = -4073 - -4073. Factor -l**2 + 0*l - 1/2*l**3 + p.
-l**2*(l + 2)/2
Factor 0*w + 0 + 52/11*w**3 - 14/11*w**4 + 16/11*w**2.
-2*w**2*(w - 4)*(7*w + 2)/11
Suppose -3/8*z**2 + 0 - 3/8*z = 0. Calculate z.
-1, 0
Let h(l) be the second derivative of 1/2*l**2 - 11*l - 5/18*l**3 - 1/18*l**4 + 0. Factor h(x).
-(x + 3)*(2*x - 1)/3
Let v be (1/2)/((-5)/(-70)). Let g = 7 - v. Factor -2/7*x**3 + g*x**2 + 0*x + 0.
-2*x**3/7
Let h(y) = y**3 + 2*y**2 + y. Let b(j) = 892*j**2 - 48392*j - 49284. Let a(r) = -b(r) + 4*h(r). Suppose a(z) = 0. What is z?
-1, 111
Find i such that 114/5*i**3 + 9/5 - 9/5*i**2 - 114/5*i = 0.
-1, 3/38, 1
Let h be (-4 - -5)/((-4)/148*1). Let f = h - -187/5. Suppose 1/5*u**5 + 0*u**4 - 4/5*u**3 + f*u**2 + 3/5*u - 2/5 = 0. What is u?
-2, -1, 1
Let t = 4 + -11. Let x be (t - -5)*89/(-2). Solve 48*v**5 + v + 2*v - x*v**4 + 3*v - 31*v**4 + 27*v**3 + 39*v**2 = 0.
-1/4, 0, 1, 2
Suppose 4*x - 5*l + 2*l - 23 = 0, 4*x = 2*l + 18. Let h(i) be the first derivative of 2/3*i**3 - 2*i**x + 2 + 2*i. Determine r, given that h(r) = 0.
1
Let a be ((-8)/(-36))/((-4)/6)*-158. Let k = -52 + a. Determine q, given that -5/3*q**2 - 7/3*q - k = 0.
-1, -2/5
Let q(h) = -2*h - 24. Let o be q(0). Let z be ((-2)/7)/(o/56). Determine m so that 1/6*m - 1/2*m**3 - 1/3 + z*m**2 = 0.
-2/3, 1
Let m(k) be the third derivative of -k**6/240 + 13*k**5/20 + 53*k**4/16 + 20*k**3/3 - 10*k**2 + 9*k. Factor m(u).
-(u - 80)*(u + 1)**2/2
Let b be (-2*6/238)/(3/21). Let q = 4/85 - b. Factor q - 3/5*u + 1/5*u**2.
(u - 2)*(u - 1)/5
Let k = -1151 + 20719/18. Let r(w) be the first derivative of -4 + 0*w + 1/15*w**5 - k*w**2 - 1/9*w**3 + 1/36*w**4. Suppose r(m) = 0. What is m?
-1, -1/3, 0, 1
Let o be (-2)/(-8*(108/(-6872))/(-9)). Let c = -143 + o. Factor 1/3 + 1/6*y - c*y**3 - 1/3*y**2.
-(y - 1)*(y + 1)*(y + 2)/6
Suppose 32*a - 59*a = -39*a + 24. What is q in 0 + 2/7*q**4 + 4/7*q**3 - 2/7*q**a - 4/7*q = 0?
-2, -1, 0, 1
Let w(m) = -m**2 - 8*m + 8. Let v be w(-7). Let k = v - 15. Factor 0*u - 6*u + 6 - 3*u + 3*u**3 + k*u**3.
3*(u - 1)**2*(u + 2)
Solve -2/5*u**3 + 0 + 6*u**2 + 0*u = 0 for u.
0, 15
Let f(b) be the third derivative of 1/210*b**5 + 0 + 0*b + 25/21*b**3 + 5/42*b**4 - b**2. Let f(i) = 0. Calculate i.
-5
Let j(q) = 3 - 1 - 3. Let b(p) = -10*p**2 + 7*p + 5. Let v be b(-1). Let a(l) = 2*l**2 - 8. Let i(k) = v*j(k) + 2*a(k). Let i(h) = 0. Calculate h.
-1, 1
Let l be -4*1/12*21 + 2. Let u be (3/4)/(l/(-20)). Factor 0*x + 4/9*x**u - 2/9*x**2 + 0 - 2/9*x**4.
-2*x**2*(x - 1)**2/9
Let k(d) be the second derivative of -d**4/12 + 6*d**3 - 162*d**2 - 78*d. Determine p, given that k(p) = 0.
18
Let w(f) = 2*f**2 - 101*f + 87. Let r(d) = -5*d**2 + 305*d - 260. Let v(h) = 3*r(h) + 10*w(h). Determine q, given that v(q) = 0.
1, 18
Let h be (-11)/(-22)*(-1 - (0 + -1)). Let d(v) be the second derivative of -1/24*v**4 + 6*v - 1/40*v**5 + 5/12*v**3 - 3/4*v**2 + h. Find n such that d(n) = 0.
-3, 1
Factor 323/7*p**3 + 0*p + 0 + 289/7*p**2 + 5*p**4 + 1/7*p**5.
p**2*(p + 1)*(p + 17)**2/7
Solve 5/12*k + 1/3*k**4 - 1/12*k**5 - 1/6*k**2 - 1/6 - 1/3*k**3 = 0.
-1, 1, 2
Suppose 21*n - 18*n + 939 = 0. Let k = n - -4699/15. Factor 4/15*s**4 - k*s**2 + 0*s**3 - 2/15*s**5 + 2/15*s + 0.
-2*s*(s - 1)**3*(s + 1)/15
Let l(o) be the third derivative of 19*o**2 + 0*o**6 + 0*o**3 + 0*o**5 + 0*o**4 - 1/1176*o**8 - 1/735*o**7 + 0*o + 0. Factor l(r).
-2*r**4*(r + 1)/7
Let y be 3*(-6 + -9 + 11)/(-4 - 0). Factor -4/9*h**y - 32/9*h + 64/9 - 28/9*h**2.
-4*(h - 1)*(h + 4)**2/9
Let q be (-7)/(-2) + 15/(-10). Let b be (6/(-4))/(q/(-4)). Suppose -30*a**2 - 24*a**5 - 4 + 3 + 1 + 10*a + 4 - 10*a**b + 50*a**4 = 0. Calculate a.
-2/3, -1/4, 1
Let b = 3 + -3. Let d = 6684/11 - 60134/99. Factor d*t**2 + 8/9*t**4 + 0 + 10/9*t**3 + b*t.
2*t**2*(t + 1)*(4*t + 1)/9
Suppose -17*i + 5*i = -24. Let f(m) be the second derivative of -1/48*m**4 + 0 + 1/80*m**5 + 3*m + 0*m**i + 0*m**3. Factor f(g).
g**2*(g - 1)/4
Let b(q) be the first derivative of 0*q - 1/8*q**4 - 3 + 0*q**3 + 0*q**2 - 1/10*q**5. Factor b(y).
-y**3*(y + 1)/2
Let j(q) = q**3 + 12*q**2 - 12*q + 18. Let p be j(-13). Let i be (3/6)/((-4)/(-952)). Factor 115*s**5 - i*s**5 + s**4 - p*s**4.
-4*s**4*(s + 1)
Factor 3*c**3 + 11259/5*c + 4374/5 + 816/5*c**2.
3*(c + 27)**2*(5*c + 2)/5
Suppose -88 - 32 = 8*w. Let p(g) = 120*g**2 + 40*g - 35. Let n(q) = q**2 - 1. Let o(d) = w*n(d) + p(d). Factor o(a).
5*(3*a + 2)*(7*a - 2)
Let p(t) be the third derivative of 5*t**2 + 1/36*t**4 + 0*t + 0*t**5 + 0*t**3 - 1/180*t**6 + 0. Find x, given that p(x) = 0.
-1, 0, 1
Let y = -13176 + 20995. Let -12*l**3 - 3*l**4 + 7819*l - y*l = 0. What is l?
-4, 0
Let j = 13109/10 + -1310. Let w(l) be the first derivative of 0*l + 2 - 1/2*l**3 + 0*l**2 - 3/4*l**4 + j*l**5. Determine m so that w(m) = 0.
-1/3, 0, 1
Suppose -85*t = -92*t + 28. Let a be (-3)/((15/t)/(-1)). Factor 0*q - 4/5*q**3 + 0 - 1/5*q**4 - a*q**2.
-q**2*(q + 2)**2/5
Suppose -6*q + 4*q = 0, 5*j - q + 2 = 12. Determine r so that 2/7*r**3 + 2/7*r**j + 6/7 - 10/7*r = 0.
-3, 1
Factor 28/3*d - 16 + 22/3*d**2 - 2/3*d**3.
-2*(d - 12)*(d - 1)*(d + 2)/3
Let r be (40/25)/(10/450). Factor -4/5*f**5 - 12*f**4 - 216*f**2 - 324*f - 972/5 - r*f**3.
-4*(f + 3)**5/5
What is l in -2*l**3 - 65*l + 11*l**2 + 93*l + 15*l**2 = 0?
-1, 0, 14
Suppose 0 = -673*n + 665*n + 88. Let x(z) be the first derivative of n - 3/28*z**4 - 8/7*z**3 + 0*z - 24/7*z**2. Factor x(m).
-3*m*(m + 4)**2/7
Let t(v) = v**3 - 7*v**2 - 9*v + 