ctor -3/2*x**3 - x - 9/4*x**2 - 1/4*x**4 + w.
-x*(x + 1)**2*(x + 4)/4
Let c(b) be the first derivative of -2*b**3/33 + 140*b**2/11 - 9800*b/11 + 178. Factor c(a).
-2*(a - 70)**2/11
Let o be -3 - (294/336 + 4*-1). Let m(x) be the second derivative of 1/24*x**3 + 5*x - o*x**2 - 1/80*x**5 + 0 + 1/48*x**4. Suppose m(u) = 0. What is u?
-1, 1
Let k(m) = 530*m**3 - 1240*m**2 + 855*m - 215. Let d(y) = 59*y**3 - 138*y**2 + 95*y - 24. Let a(j) = 35*d(j) - 4*k(j). Factor a(z).
-5*(z - 1)**2*(11*z - 4)
Let i(d) be the second derivative of d**6/5 + 17*d**5/40 - 23*d**4/8 - 8*d**3/3 + 3*d**2 - 154*d. Let i(q) = 0. Calculate q.
-3, -2/3, 1/4, 2
Factor 100*x**3 - 54*x**4 + 18*x**2 - x**4 + 2*x**2.
-5*x**2*(x - 2)*(11*x + 2)
Suppose 24 - 10 = -2*b. Let o = 12 + b. Factor -3*x**5 + 0*x**5 + 12*x**5 - 5*x**o - 20*x**2 - 12*x**3 - 8*x + 4*x**4.
4*x*(x - 2)*(x + 1)**3
Let x = -5 - -17. Suppose -27*v + 33*v = x. Factor -2*u - 2/3*u**v + 0.
-2*u*(u + 3)/3
Let z(q) be the first derivative of 49*q**5/120 + 7*q**4/18 + q**3/9 - 6*q + 9. Let x(i) be the first derivative of z(i). Factor x(r).
r*(7*r + 2)**2/6
Let f = -40 - -46. Let m(y) be the third derivative of 0*y**6 + 0 + 1/105*y**7 + 1/336*y**8 + 0*y**5 + 0*y**3 + 0*y**4 - f*y**2 + 0*y. What is n in m(n) = 0?
-2, 0
Let r be 3/21 + (-1292)/(-266). Let l(s) be the second derivative of -1/10*s**r + 1/30*s**6 + 1/21*s**7 + 0*s**3 + 0*s**2 - 1/12*s**4 - 6*s + 0. Factor l(v).
v**2*(v - 1)*(v + 1)*(2*v + 1)
Let u(y) be the third derivative of -y**7/525 + 181*y**6/300 + 617*y**2. Let u(a) = 0. Calculate a.
0, 181
Let w(q) be the second derivative of q**4/114 + 11*q**3/57 - 300*q - 1. Factor w(d).
2*d*(d + 11)/19
Let p(h) be the third derivative of -h**7/3150 - h**6/1800 + h**5/300 - 13*h**4/24 - 29*h**2. Let q(k) be the second derivative of p(k). Solve q(m) = 0.
-1, 1/2
Let p(b) be the second derivative of -b**4/10 + 227*b**3/10 + 171*b**2/5 - 41*b. Factor p(y).
-3*(y - 114)*(2*y + 1)/5
Let z(j) be the third derivative of j**8/336 + j**7/21 - j**6/40 - 7*j**5/3 + 49*j**4/6 - 437*j**2. Find k, given that z(k) = 0.
-7, 0, 2
Let l = 20/359 + 2572/5385. Factor l*v - 8/15 + 2/5*v**2.
2*(v + 2)*(3*v - 2)/15
Let x = 4075 + -4071. Let 8/3*i**3 - 2/3*i**2 - 2*i**x + 0*i + 0 = 0. What is i?
0, 1/3, 1
Let b = -5651 + 62163/11. Suppose 2/11*w**2 - b*w**4 + 2/11*w**3 - 2/11*w + 0 = 0. What is w?
-1, 0, 1
Let q(m) be the second derivative of -m**5/20 - m**4/4 + m + 77. Find c, given that q(c) = 0.
-3, 0
Suppose 8*x - 75 = 3*x. Let j = x - 11. Determine q, given that 177*q - 180*q - 6*q**2 + 6*q**j - 5*q**5 + 8*q**5 = 0.
-1, 0, 1
Let w(d) = 15*d**4 - 39*d**3 + 52*d**2 - 7. Let g(t) = 7*t**4 - 19*t**3 + 24*t**2 - 3. Let m(a) = 7*g(a) - 3*w(a). Factor m(v).
4*v**2*(v - 3)*(v - 1)
Let p(y) be the third derivative of 0 + 6*y**2 - 1/20*y**5 + 1/120*y**6 + 1/70*y**7 + 0*y**3 + 1/336*y**8 + 0*y - 1/12*y**4. Suppose p(j) = 0. What is j?
-2, -1, 0, 1
Suppose 11/3*f**4 + 0*f + 0*f**2 + 0 - 2*f**3 = 0. What is f?
0, 6/11
Let c(j) be the second derivative of 0 + 2*j - 1/120*j**5 - 5/72*j**4 + 1/180*j**6 - 1/12*j**3 + 0*j**2. What is f in c(f) = 0?
-1, 0, 3
Let 39 - 62 + 5*x**2 - 112 - 48*x + 18*x = 0. What is x?
-3, 9
Solve -23*r**2 - 192*r - 96*r**2 + 27*r**2 - 97*r**2 - 3 = 0.
-1, -1/63
Let p = 3/112 + 5/336. Let u(x) be the third derivative of 0*x - 1/60*x**5 - p*x**4 - 6*x**2 + 0 + 0*x**3. Let u(q) = 0. What is q?
-1, 0
Let g(m) = 2*m**4 + 54*m**3 - 210*m**2 + 364*m - 192. Let d(v) = -v**4 - 53*v**3 + 209*v**2 - 362*v + 192. Let o(k) = -6*d(k) - 5*g(k). Solve o(c) = 0 for c.
1, 3, 4
Suppose 0 - 3/5*f**2 + 303/5*f = 0. What is f?
0, 101
Let j be (-2)/(-17) + -24*(-90)/4760. Let -j*k + 0 - 2/7*k**2 = 0. What is k?
-2, 0
Let r(c) be the second derivative of -4/3*c**3 + 0 + 0*c**2 - 1/3*c**4 - 26*c. Factor r(q).
-4*q*(q + 2)
Let c(w) = w**2 - 26*w + 19. Let u(t) = 3. Let r(m) = -c(m) - 2*u(m). Factor r(z).
-(z - 25)*(z - 1)
Let v(x) = 7*x**3 + 8*x**2 + 7*x - 3. Let q(m) = m**3 + m - 1. Suppose -3*f = -f + 2. Let z(o) = f*v(o) + 3*q(o). Factor z(i).
-4*i*(i + 1)**2
Let n be -4 + 0 - (13 - 17). Suppose -6*u + 14*u - 16 = n. Determine m so that 30*m**u - 9/2*m - 3 = 0.
-1/4, 2/5
Let w(x) be the first derivative of x**2 + 1/15*x**3 + 5*x - 7. Let w(u) = 0. Calculate u.
-5
Let r be ((-16 - -1) + 12)/(-1). Let u be (-9)/(-6)*2/6. Suppose -1/2*p - u*p**r + 0 + p**2 = 0. Calculate p.
0, 1
Let j = 2892 - 2892. Solve 4/3*r**4 - 2/3*r**3 + j - 4/3*r**2 + 2/3*r = 0.
-1, 0, 1/2, 1
Suppose 0*g - q = 4*g - 7, -q - 3 = -g. Suppose 0 = g*i - 6. Solve -4*o - 175 + 175 + 4*o**i = 0.
-1, 0, 1
Factor 0 + 2/7*o - 2/7*o**2.
-2*o*(o - 1)/7
Let n(o) = -2*o**2 - 20*o - 21. Let x be n(-9). Let r be (x + 40/15)*0. Factor r*v + 0 + 0*v**2 + 1/3*v**3.
v**3/3
Let b be (-4)/(((-6)/32)/((-18)/(-12))). Suppose -9*x = 5 - b. Solve -6/11*q**4 + 0 - 18/11*q**2 - 4/11*q - 20/11*q**x = 0 for q.
-2, -1, -1/3, 0
Suppose 6 = -5*p + 2*p, 0 = -3*f - 5*p + 2. Let 8*s**3 + 3*s**2 - f*s**2 - 4*s**2 + 2*s**4 - 8*s + 3*s**2 = 0. Calculate s.
-4, -1, 0, 1
Suppose -6 = -c + 2*n, c + 4*n - 3*n + 9 = 0. Let q be c*((-77)/(-18))/(-7). Solve 52/9*i**4 - 58/9*i**3 + q*i**2 - 16/9*i**5 - 2/9 + 2/9*i = 0.
-1/4, 1/2, 1
Let q(s) be the first derivative of -s**8/2800 + s**7/700 + 5*s**3 - 12. Let g(f) be the third derivative of q(f). Factor g(y).
-3*y**3*(y - 2)/5
Suppose 0 = -168*y + 166*y. Let i(s) be the first derivative of 9 - 1/24*s**6 + 3/16*s**4 + y*s + 0*s**2 - 1/6*s**3 + 0*s**5. Factor i(h).
-h**2*(h - 1)**2*(h + 2)/4
Let o(x) = -13*x**5 + 8*x**4 + 2*x**3 - 3*x**2 - 3. Let p(j) = 14*j**5 - 8*j**4 - 2*j**3 + 4*j**2 + 4. Let f(s) = -4*o(s) - 3*p(s). Find m, given that f(m) = 0.
-1/5, 0, 1
Suppose 12/11*m + 0 + 1/11*m**2 = 0. Calculate m.
-12, 0
Determine p, given that -24 + 38*p**2 - 186*p**3 - 20 - 8 - 12*p**4 + 82*p + 104*p + 26*p**4 = 0.
-1, 2/7, 1, 13
Let y be ((-54)/21)/((9/(-42))/(-3)). Let a be -1*1*15/(135/y). Let 0*q + 0*q**2 + 0 - 1/2*q**a + 1/2*q**3 = 0. Calculate q.
0, 1
Find l such that -19196*l**4 + 9599*l**4 + 26 + 23*l**2 - 96*l - 30*l**3 + 10 + 64*l**2 + 9600*l**4 = 0.
1, 2, 6
Determine w, given that -70 - w**2 + 32*w + 88 - 35*w - 2*w**2 = 0.
-3, 2
Suppose 85 = 3*n + 2*n - 5*y, -2*n - 2*y = -26. Factor 31*w**2 - 3 - 21 + 12*w**3 - n*w**2 + 24*w**2 + 4*w.
4*(w + 1)*(w + 3)*(3*w - 2)
Let x(b) = -4*b**2 + b + 3. Let y(k) = 14588*k**2 + 2698*k + 119. Let i(z) = -2*x(z) - y(z). Factor i(g).
-5*(54*g + 5)**2
Let k(d) be the first derivative of -d**4/20 + d**3/3 - 7*d**2/10 + 3*d/5 - 97. Factor k(l).
-(l - 3)*(l - 1)**2/5
Let a(c) be the second derivative of c**8/1344 + c**7/840 - c**6/96 + c**5/80 - 7*c**2/2 + 24*c. Let n(y) be the first derivative of a(y). Factor n(z).
z**2*(z - 1)**2*(z + 3)/4
Factor -11/2*a**3 + 13/2*a**2 - 6 - 1/2*a**4 + 11/2*a.
-(a - 1)**2*(a + 1)*(a + 12)/2
Let d(z) be the first derivative of -z**7/1680 + z**6/15 - 16*z**5/5 + 256*z**4/3 - 2*z**3/3 - 24*z - 11. Let x(o) be the third derivative of d(o). Factor x(l).
-(l - 16)**3/2
Let w be 12/8*((-16)/(-6) - 2). Let p(b) = 3*b**2. Let m be p(w). Factor 1/3*j**m - 4/3*j - 2/3*j**2 + 8/3.
(j - 2)**2*(j + 2)/3
Let b be (2 - 5126/3192) + (-8)/(-28). Let u = b + -1/76. Solve 1/3*j**2 + 1/3*j - u = 0 for j.
-2, 1
Let y(u) be the third derivative of -u**6/24 - 37*u**5/12 - 355*u**4/24 - 175*u**3/6 - 2*u**2 + 52. Factor y(x).
-5*(x + 1)**2*(x + 35)
Let y(c) be the third derivative of 2*c**7/105 + c**6/15 - 4*c**5/5 + 7*c**4/3 - 10*c**3/3 - 41*c**2. Solve y(h) = 0.
-5, 1
Let h(d) be the third derivative of -d**6/420 - d**5/210 + d**4/6 + 8*d**3/7 + 138*d**2. Suppose h(y) = 0. What is y?
-3, -2, 4
Suppose -5/2*q - 5/2 + 5/2*q**2 + 5/2*q**3 = 0. What is q?
-1, 1
Let i = -18 - -20. Let u be 4 - 1/((-3)/(-6)). Factor -4*f + 4*f - u*f - 5*f**i.
-f*(5*f + 2)
Let s(y) be the third derivative of y**5/100 + y**4/20 - 80*y**2. Factor s(q).
3*q*(q + 2)/5
Let f(g) be the second derivative of g**4/90 - 53*g**3/45 - 18*g**2/5 - 63*g. Solve f(t) = 0.
-1, 54
Let s(g) be the first derivative of 5/16*g**4 - 1/20*g**5 - 2/3*g**3 - 10 + 0*g + 1/2*g**2. Factor s(w).
-w*(w - 2)**2*(w - 1)/4
Let u(g) = g**4 - 5*g**3 + 41*g**2 - 47*g + 22. Let l(t) = 3*t**4 - 9*t**3 + 81*t**2 - 93*t + 45. Let n(h) = 4*l(h) - 9*u(h). Factor n(o).
3*(o - 1)**3*(o + 