a**4/2 - 6*a**3 + 42. Factor k(d).
-2*d**2*(d + 9)
Let p(c) be the second derivative of 1/18*c**3 - 16*c - 1/36*c**4 + 0 + 0*c**2. Factor p(w).
-w*(w - 1)/3
Suppose 5*b - 24 - 26 = -5*g, 3*g = 2*b + 5. Factor -64*d**3 - 112*d**2 + 354 - 18*d**4 - 77*d - 386 - 19*d - 2*d**g.
-2*(d + 1)*(d + 2)**4
Let y = 1418 + -1418. Factor 0*w - 1/2*w**3 + 3/2*w**2 + y.
-w**2*(w - 3)/2
Let o = -24 + 28. Determine q, given that -15*q + 5*q**o - 5*q**2 + 7*q + 13*q - 5*q**3 = 0.
-1, 0, 1
Suppose 0 = -3*t - 12 - 0, 4*t + 12 = -2*j. Factor -4/7 + 6/7*i + 10/7*i**j.
2*(i + 1)*(5*i - 2)/7
Let -5/2*f + 3*f**2 + 0 - 1/2*f**3 = 0. Calculate f.
0, 1, 5
Let 3*k**3 - 22*k**5 + 3*k - 3*k + 21*k**5 + 2*k**2 = 0. Calculate k.
-1, 0, 2
Let v be 3/((2 - -1) + 3/(-2)). Suppose -8*t**3 - 4*t + 7*t**2 + 4*t**3 - 24 + 24*t + t**v = 0. Calculate t.
-2, 1, 3
Let z be (-3815)/218*(-4)/14. Solve 25/4*k**4 - 9/2*k**3 - 37/4*k**2 + 5/2*k - k**z + 0 = 0.
-1, 0, 1/4, 2, 5
Let o be (6 - (6 + -3)) + -1. Factor -5*c**2 - 2*c**2 + 2*c**2 + c**o - 16 + 16*c.
-4*(c - 2)**2
Let u = 22550/19719 + -2/2817. Let m be (-1)/(-3) + (-64)/(-24). Find v, given that u*v**4 - 4/7 + 6/7*v + 32/7*v**2 + 30/7*v**m = 0.
-2, -1, 1/4
Let j = 2/909 - -11809/3636. Let o(c) be the second derivative of -3/2*c**2 + j*c**3 + 0 - 15/8*c**4 - 6*c. Let o(n) = 0. Calculate n.
1/5, 2/3
Let p(h) be the third derivative of h**5/120 - 4*h**4/3 + 256*h**3/3 - 2*h**2 + 2*h. Find w such that p(w) = 0.
32
Factor 31*o**2 + 3*o**3 - 5*o**3 + 12*o - 94*o - 5*o**2 + 2*o + 72.
-2*(o - 9)*(o - 2)**2
Let l(w) = w**3 - 3*w**2 + 4*w - 2. Let m be l(2). Suppose -m*y = -3*y + 2*a - 2, 0 = 4*y + 4*a - 16. Factor 1 - 2 - 3*t**2 + y*t**2 + 2*t.
-(t - 1)**2
Let x be (-2)/(16/(-224)*(-20)/(-7)). Let p = -137/15 + x. Suppose -p + l**2 + 1/3*l = 0. What is l?
-1, 2/3
Let s(m) be the first derivative of -m**6/3 + 18*m**5/5 + 3*m**4 - 344*m**3/3 + 120*m**2 + 576*m - 837. Let s(x) = 0. Calculate x.
-4, -1, 2, 6
Let y(o) be the second derivative of -o**7/21 + 8*o**6/21 - 36*o**5/35 + 16*o**4/21 + 16*o**3/21 - 72*o. Determine c, given that y(c) = 0.
-2/7, 0, 2
Let y(w) be the third derivative of -w**7/945 - w**6/540 + w**5/30 - 11*w**4/108 + 4*w**3/27 - 7*w**2 - 2. Factor y(q).
-2*(q - 1)**3*(q + 4)/9
Factor 0 + 3/10*k**3 + 9/5*k**2 - 1/10*k**5 - 2/5*k**4 + 0*k.
-k**2*(k - 2)*(k + 3)**2/10
Let c = -174242/39 - -4468. Let n(t) be the first derivative of -2/13*t**2 - c*t**3 + 0*t + 7/26*t**4 + 3. Factor n(a).
2*a*(a - 1)*(7*a + 2)/13
Let d(y) be the third derivative of -y**7/105 + 7*y**6/3 - 1679*y**5/10 + 1587*y**4/2 + 922*y**2. Factor d(q).
-2*q*(q - 69)**2*(q - 2)
Let x(s) be the third derivative of -s**10/151200 + s**9/36288 + s**8/30240 + 5*s**5/12 + 14*s**2. Let j(h) be the third derivative of x(h). Factor j(f).
-f**2*(f - 2)*(3*f + 1)/3
Let u(b) be the third derivative of -b**6/30 + 6*b**5/5 - 17*b**4/6 + 128*b**2. Factor u(c).
-4*c*(c - 17)*(c - 1)
Suppose 0 = 5*z - 11 - 29. Let x(d) = -d**3 + 7*d**2 + 9*d - 3. Let p be x(z). Factor o**p + 3*o**4 - 2*o**5 + 14*o**3 - 16*o**3 + 0*o**5.
-o**3*(o - 2)*(o - 1)
Let k(w) be the second derivative of -w**7/42 + w**5/4 - 2*w**3/3 - w - 44. Solve k(b) = 0 for b.
-2, -1, 0, 1, 2
Let i be (-9 + -1)*2/(-5). Let -3*y**4 + 30*y**2 + 18*y**2 - 4*y**3 + 16*y - 73*y**i + 16*y**4 = 0. Calculate y.
-2/3, -2/5, 0, 1
Let h be (-3 - -9) + 89/(-15). Let r(x) be the second derivative of -2*x**4 - h*x**6 - 3*x + 8/3*x**3 + 3/5*x**5 + 0*x**2 + 0. Solve r(k) = 0.
0, 2
Factor 0*l - 35*l**4 + l - 6*l - 59*l**2 - 95*l**3 + 10 - 16*l**2.
-5*(l + 1)**3*(7*l - 2)
Let 60 + 4/3*r**2 - 24*r = 0. What is r?
3, 15
Suppose -4*o + 27 + 3 = 5*c, -4*c + 18 = 2*o. Let z(a) = a**2 - a. Let m be z(2). Factor -4 + 4*p - 5*p - 7*p + m*p - c*p**2.
-2*(p + 1)*(p + 2)
Let b(h) be the second derivative of -h**6/15 - 3*h**5/10 - h**4/3 + 101*h. Determine z, given that b(z) = 0.
-2, -1, 0
Factor -2289 + 198*n**2 - 1386 - 15*n**3 - 3*n**3 - 3*n**4 + 420*n + 6*n**3 + 0*n**4.
-3*(n - 5)**2*(n + 7)**2
Factor -12 - 28*l**2 + 9*l + 10*l**2 + 13*l**2 + 8*l**2.
3*(l - 1)*(l + 4)
Suppose 0*u - 2*u**3 + 5*u - 5*u + 2*u = 0. What is u?
-1, 0, 1
Factor -381*l**4 + 201*l**4 - 3375*l**2 - 1210*l**3 - 8*l**5 - 140*l**3.
-l**2*(2*l + 15)**3
Let x be (-1 - 5)/((-2)/3). Let o be 4*(x/(-6))/(-3). Suppose -4*p**3 + 0*p**o + p**4 - 4*p**2 + 4*p**4 - p**4 + 4*p**5 = 0. Calculate p.
-1, 0, 1
Let b be -5*4/(60/(-21)). Suppose -i + 4*o = -b, 0 = -i + 3*o - 3 + 9. Solve 2*s**4 + 11/7*s + 2/7 + 26/7*s**i + 3/7*s**5 + 24/7*s**2 = 0.
-1, -2/3
Suppose 0 = 145*j - 44*j. Suppose 5/6*q**3 + 0*q - 2/3*q**4 + j - 1/3*q**2 + 1/6*q**5 = 0. What is q?
0, 1, 2
Find l, given that -7*l**3 - 5*l**3 - 6 + 3*l**3 + 4*l**2 + 2*l - 10*l**2 + 19*l = 0.
-2, 1/3, 1
Suppose -d**2 + 5*d**2 + 2951 + 893 - 248*d = 0. What is d?
31
Let z(x) = 9*x**2 + 4*x**3 - 4 + 4*x**4 - x**2 - 6*x**4. Let h(c) = 10*c**4 - 21*c**3 - 41*c**2 - c + 20. Let r(m) = -2*h(m) - 11*z(m). Solve r(o) = 0.
-1, 1, 2
Let x(h) = 3*h - 5. Let q be x(-15). Let u be 3/(-4)*5/(q/8). Factor -18/5*r**3 - u*r**2 + 0 + 0*r - 27/5*r**4.
-3*r**2*(3*r + 1)**2/5
Let k be 18 + -22 - (-1*1 - 7). Let -16 + 5 - 4*g - 16*g**k - 16*g**5 + 11 + 8*g**2 + 12*g**3 = 0. What is g?
-1, 0, 1/2
Let f(c) = 9*c**3 - 14*c**2 - 4. Let n(r) = -10*r**3 + 15*r**2 + 5. Suppose -5*k + 2*k - 15 = 0. Let o(g) = k*f(g) - 4*n(g). Find v, given that o(v) = 0.
0, 2
Let q(x) = x**2 + 31. Let t be q(0). Suppose 2*o = -25 + t. Factor 1/7*s + 0 + 1/7*s**o - 2/7*s**2.
s*(s - 1)**2/7
Find y, given that 196/3 - 7/3*y + 1/3*y**3 - 10/3*y**2 = 0.
-4, 7
Suppose -1232*g + 1242*g - 40 = 0. Factor -2/7*f**2 + 1/7 - 1/7*f - 1/7*f**5 + 2/7*f**3 + 1/7*f**g.
-(f - 1)**3*(f + 1)**2/7
Factor -2*y**3 - 15 + 33 - y**2 - 18 - 5*y**2.
-2*y**2*(y + 3)
Let l(v) be the first derivative of -v**6/3 - 5*v**5 - 29*v**4/4 + 47*v**3/3 + 31*v**2/2 - 22*v + 551. Suppose l(d) = 0. Calculate d.
-11, -2, -1, 1/2, 1
Let m be (-3)/((2/(-3))/(-3 + 5)). Let x be (-2*9/30)/(6 - m). Factor 3/5*s + x*s**2 + 2/5.
(s + 1)*(s + 2)/5
Let g(y) be the first derivative of 1/2*y**2 + 0*y - 7 - 1/2*y**4 + 1/3*y**3. Let g(x) = 0. Calculate x.
-1/2, 0, 1
Suppose -37 = -3*m + 8. Solve 15*c**2 + 8*c**3 - 3*c - 12*c**3 + 7*c**3 - m = 0 for c.
-5, -1, 1
Let t = -643/4 - -161. Let d(z) be the first derivative of -1/4*z**2 + 4 + 1/20*z**5 + 1/8*z**4 - t*z + 0*z**3. Let d(h) = 0. What is h?
-1, 1
Let v(u) = u**3 - u**2 + u. Let d(t) = 5*t**3 + 5*t - 3. Let f(m) = d(m) - v(m). Let b(z) = -5*z**3 - 2*z**2 - 5*z + 4. Let p(o) = 3*b(o) + 4*f(o). Factor p(i).
i*(i - 1)**2
Determine c so that 10/11*c + 26/11*c**2 - 8/11 - 28/11*c**3 = 0.
-4/7, 1/2, 1
Factor -7*g**2 + 2*g**2 - 60*g - 50 + 124*g - 29*g.
-5*(g - 5)*(g - 2)
Factor -821*o - 17*o**2 + 240 + 31*o + 32*o**3 - 168*o**2 + 3*o**3.
5*(o - 8)*(o + 3)*(7*o - 2)
Suppose 5*g + 252 = 4*u + 2*g, 0 = -4*u - 2*g + 232. What is w in -15*w**4 + 181*w**4 + 300 - 54*w**3 + 175*w**4 + u*w - 98*w**4 - 537*w**2 = 0?
-1, 10/9
Let n = -43/2 + 22. Let d = -92 - -92. Find w such that 0*w**2 + 0 - w**3 + 1/2*w**5 + d*w**4 + n*w = 0.
-1, 0, 1
Let v(w) be the second derivative of -1/9*w**3 - 7/90*w**6 + 0*w**2 + 51*w + 1/30*w**5 + 0 + 7/36*w**4. Let v(t) = 0. What is t?
-1, 0, 2/7, 1
Suppose 0 = -3*k + 7 + 8. Suppose k*w + 6 - 26 = 0. Suppose -6/5*c**3 + 0 + 4/5*c**2 + 0*c**w + 2/5*c**5 + 0*c = 0. What is c?
-2, 0, 1
Determine l, given that -2/3*l**2 + 8/3*l + 0 = 0.
0, 4
Let t(v) = v**2 + 2*v - 1. Let d(h) = -11*h**2 + 3*h + 96. Let x(b) = d(b) + 6*t(b). Factor x(p).
-5*(p - 6)*(p + 3)
Suppose 70 = 7*f - 5*f. Suppose 5 + 15 = 5*u. Factor -76*w**2 - 6*w**5 - 16 - 15*w**3 - f*w**3 - 56*w - 16*w**u + 4*w**5.
-2*(w + 1)**2*(w + 2)**3
Factor 80/9*y + 0 + 2/3*y**3 + 44/9*y**2.
2*y*(y + 4)*(3*y + 10)/9
Let n(v) be the third derivative of v**7/1260 - v**6/180 - v**5/20 + 3*v**4/8 + 10*v**2. Let p(t) be the second derivative of n(t). Factor p(k).
2*(k - 3)*(k + 1)
Find n, given that -4489/3 + 134/3*n - 1/3*n**2 = 0.
67
Let v(j) be the first derivative of -4*j**3/21 + 138*j**2/7 + 751. Find d, given that v(d) = 0.
0, 69
Let p = 2237/3 + -744. Let f(s) be the first derivative of 1/4*s**4 + 2 - p*s**3 + 4*s**2 - 4*s. Factor f(c).
(c - 2)**2*(c - 1)
Let r(v) be the second derivative of -v**9/3024 + v**7/168 + 