a**3 + 17 - 10*a + 23*a**3 + 11 - 44*a**2 - 33*a**3.
-2*(a + 1)*(a + 7)*(3*a - 2)
Let u(r) = -4*r**3 + 3*r**2 - 9*r - 5. Let h(f) = 14 - 16*f**2 + 20*f**3 + 30*f + 14*f + 10. Let l(t) = 5*h(t) + 24*u(t). Factor l(b).
4*b*(b - 1)**2
Let k(h) be the third derivative of h**5/105 - h**4/7 - 32*h**3/21 - 62*h**2. Factor k(p).
4*(p - 8)*(p + 2)/7
Let h(z) be the first derivative of z**6/1440 + z**5/240 + z**4/96 - 28*z**3/3 + 26. Let c(j) be the third derivative of h(j). Factor c(u).
(u + 1)**2/4
Let k(q) be the third derivative of -1/24*q**6 + 0 - 2*q**3 + 0*q + 1/12*q**5 + 0*q**4 + 7*q**2. Let v(s) be the first derivative of k(s). Factor v(m).
-5*m*(3*m - 2)
Let n be 4/14 - 69498/(-91). Factor -48*z**3 - 3*z**4 - n - 4 - 326*z - 442*z - 288*z**2.
-3*(z + 4)**4
Let q(p) be the first derivative of p**6/105 + 3*p**5/70 + p**4/42 - p**3/7 - 2*p**2/7 + 21*p + 20. Let a(h) be the first derivative of q(h). Factor a(u).
2*(u - 1)*(u + 1)**2*(u + 2)/7
Let n(i) be the first derivative of -i**8/5040 - i**7/630 - i**6/360 + i**5/90 + i**4/18 + 4*i**3 + 28. Let k(d) be the third derivative of n(d). Factor k(m).
-(m - 1)*(m + 1)*(m + 2)**2/3
Let d = 15/2 - 7. Let o = 1942 - 3881/2. Factor -n**3 - d*n**5 + n**2 + 3/2*n + 1/2 - o*n**4.
-(n - 1)*(n + 1)**4/2
Let b(k) = k**3 - 3*k**2 + 2*k - 4. Let w be b(3). Factor 4*i**2 + 6*i**w + 5*i - 5*i**2 - 10.
5*(i - 1)*(i + 2)
Let c(g) = 25*g**4 - 40*g**3 - 22*g**2 + 2. Let z(k) = 25*k**4 - 40*k**3 - 23*k**2 + 3. Let y = 53 + -55. Let o(f) = y*z(f) + 3*c(f). Factor o(a).
5*a**2*(a - 2)*(5*a + 2)
Suppose 235 = -15*v + 280. Find h, given that -1/3*h**4 + 1/3*h**v + 0*h - 1/3*h**5 + 1/3*h**2 + 0 = 0.
-1, 0, 1
Let d(m) be the first derivative of 646*m**3/39 + 25*m**2 + 4*m/13 - 326. What is t in d(t) = 0?
-1, -2/323
Suppose -20*t - 4 = -22*t. Find c, given that -c - 3 + 3*c**t + 6 + 7*c + 0 = 0.
-1
Let a(b) be the first derivative of -5*b**4/16 - 5*b**3/2 + 5*b**2/8 + 15*b/2 + 25. Suppose a(h) = 0. Calculate h.
-6, -1, 1
Let j be 4/(-2) - -3 - 7331/(-11). Let c = 668 - j. Factor c*l**3 + 0*l + 0 + 2/11*l**5 - 2/11*l**2 - 6/11*l**4.
2*l**2*(l - 1)**3/11
Let d(a) = -12*a**2 + 32*a + 8. Let k(f) be the second derivative of -2*f**4/3 + 7*f**3/2 + 5*f**2/2 + 16*f. Let v(h) = -5*d(h) + 8*k(h). Factor v(u).
-4*u*(u - 2)
Suppose -34*h + 46*h - 14*h**3 + 12*h**2 - 2*h**2 + 2*h**5 - 10*h**4 = 0. What is h?
-1, 0, 1, 6
Let p(j) be the first derivative of 2*j**3/3 + 24*j**2 + 4*j - 1. Let t be p(-24). Factor 0*l - 3/2*l**t + 0*l**2 + 0 + 3/2*l**3.
-3*l**3*(l - 1)/2
Let a(p) be the first derivative of 2*p**5/5 - 61*p**4/12 + 10*p**3/9 - 563. Solve a(d) = 0 for d.
0, 1/6, 10
Let u(d) be the first derivative of 3/10*d**5 + 0*d - 15/8*d**4 + 37 - 9/4*d**2 + 7/2*d**3. Factor u(l).
3*l*(l - 3)*(l - 1)**2/2
Let p = -897 - -900. Let n(y) be the first derivative of 15/16*y**4 + 1 - 9/20*y**5 - 1/4*y**p - 3/8*y**2 + 0*y. Factor n(x).
-3*x*(x - 1)**2*(3*x + 1)/4
Factor 40*w**3 - 57*w**4 - 67*w**4 + 100*w**2 + 128*w**4.
4*w**2*(w + 5)**2
Suppose -2*h + 4*d = 8, -2*h - 2*h + 3*d - 1 = 0. Suppose 2*r = h*v - 8, 3*r - 5*v + 20 = -0*r. Solve r*t + 1/4*t**3 + 0 - 1/4*t**2 = 0.
0, 1
Let d be 2 + 1581/(-18) - (-14)/(-21). Let b = -86 - d. Let -b*i**3 - 3/2 - 1/2*i**2 + 5/2*i = 0. What is i?
-3, 1
Let c(r) = -2*r + 33. Let h be c(16). Let k be (0 - h/(-5))/((-9)/(-60)). Factor -2/3 - 1/3*l**3 - 5/3*l - k*l**2.
-(l + 1)**2*(l + 2)/3
Let p be -3 + 9 + (6 - 10 - 0). Suppose 4*t - 62 = 2*l, 5*t - 49 = 2*t + 4*l. Determine r, given that -2*r**3 - p*r**2 - 27*r + 12*r + t*r = 0.
-1, 0
Let a(c) be the second derivative of 0*c**3 - c - 5/2*c**2 - 1/6*c**4 + 0 + 1/30*c**5. Let p(l) be the first derivative of a(l). Solve p(m) = 0 for m.
0, 2
Let z(r) be the second derivative of 1/8*r**3 - 1/40*r**5 + 0 - 1/168*r**7 - 1/8*r**2 - 1/24*r**4 + 1/40*r**6 - 7*r. Find i such that z(i) = 0.
-1, 1
Let a(k) = 3*k**2 + 38*k + 67. Let p be a(-2). Let f(d) be the first derivative of 2/3*d**p - 9 + 1/2*d**2 - 2*d - 1/4*d**4. Factor f(i).
-(i - 2)*(i - 1)*(i + 1)
Let j(p) be the first derivative of -p**3/3 + 5*p**2 + 3*p - 5. Let z be j(10). Factor 0*s**3 - 24*s**2 - z*s**3 - 3*s**4 + 24*s**2.
-3*s**3*(s + 1)
Let x(b) be the first derivative of -2*b - 1/2*b**2 + 11 + 1/3*b**3. What is h in x(h) = 0?
-1, 2
Let u(m) be the second derivative of -m**5/90 + 7*m**4/54 + 20*m - 1. Determine l, given that u(l) = 0.
0, 7
Let t = -3 + 5. Factor -11*f**3 + f - 7*f**3 - 13*f - 3*f**4 - 27*f**t.
-3*f*(f + 1)**2*(f + 4)
Let f(y) = -5*y**3 + 3*y**2. Let j(m) = m**3 - m**2. Suppose -6*g = -3*g - 60. Let v(u) = g*j(u) + 5*f(u). Suppose v(c) = 0. Calculate c.
-1, 0
Suppose -q - 19 = -5*d, -q - 5 = -2*d + 2*q. Suppose -11 = -d*i + 1. Factor -12/5*a**5 - 3/5*a**2 - 18/5*a**i + 0*a + 0 - 27/5*a**4.
-3*a**2*(a + 1)**2*(4*a + 1)/5
Let k(p) = -20. Let x(a) = a**2 - 2*a - 19. Let l(o) = -4*k(o) + 5*x(o). Factor l(c).
5*(c - 3)*(c + 1)
Let k(b) be the second derivative of -b**5/12 + 5*b**4/12 - 5*b**2 + 13*b. Let g(n) be the first derivative of k(n). Find r, given that g(r) = 0.
0, 2
Let k(t) be the third derivative of -t**7/42 + 17*t**6/12 + 35*t**5/12 + 14*t**2 + 4. Factor k(f).
-5*f**2*(f - 35)*(f + 1)
Let v(q) be the first derivative of 2*q**3/63 + 2*q**2/7 - 672. Factor v(z).
2*z*(z + 6)/21
Let z(p) be the third derivative of -p**8/336 - p**7/210 + p**6/40 + p**5/12 + p**4/12 + 72*p**2. Factor z(o).
-o*(o - 2)*(o + 1)**3
Solve -11/4*d**3 + 0 - d**4 - 3/2*d**2 + 0*d = 0 for d.
-2, -3/4, 0
Let c(l) = -12*l**5 + 6*l**4 + 18*l**3 - 6*l**2 - 6*l - 9. Let z(b) = b**5 - 2*b**3 + b + 1. Let p(x) = -c(x) - 9*z(x). Factor p(y).
3*y*(y - 1)**3*(y + 1)
Let g(c) be the second derivative of -c**7/42 - 4*c**6/15 - 21*c**5/20 - 3*c**4/2 - c - 219. Factor g(w).
-w**2*(w + 2)*(w + 3)**2
Let o be (-30)/21 - (-2231)/322. Factor -r + 5/2*r**2 + o*r**3 + 0 + 2*r**4.
r*(r + 1)*(r + 2)*(4*r - 1)/2
Let a(b) be the second derivative of -b**6/270 - b**5/9 - 25*b**4/27 + 13*b - 2. Solve a(q) = 0.
-10, 0
Suppose 4*i = k + 2 - 3, -5*i + 5*k - 20 = 0. Let r be 3*i*(-4)/(-6). Determine b, given that 4*b - 3 - 4*b**3 + 6 + 1 - 4*b**r = 0.
-1, 1
Let g(r) be the first derivative of -r**6/36 + r**5/6 - 5*r**4/24 - 5*r**3/18 + r**2/2 - 89. Solve g(j) = 0.
-1, 0, 1, 2, 3
Let a be (-5 - (8 - 3))*(-2)/4. Let k(x) be the second derivative of -1/2*x**2 - 1/40*x**a + 2*x - 1/6*x**4 + 0 - 5/12*x**3. Let k(v) = 0. What is v?
-2, -1
Let t(z) be the first derivative of -3*z**4/4 + 6*z**3 - 18*z**2 + 24*z - 31. Determine h so that t(h) = 0.
2
Let p be (230/69)/((-8)/(-354)). Let q = p - 147. Solve 0*z + 3/8*z**2 + q*z**3 + 0 = 0 for z.
-3/4, 0
Let u(l) be the third derivative of l**8/26880 - l**7/5040 - l**6/720 + l**5/60 - 3*l**4/8 + 2*l**2. Let i(h) be the second derivative of u(h). Factor i(f).
(f - 2)**2*(f + 2)/4
Factor -4*a**3 + 21*a - 15*a - 11*a + 6*a**2 + 24*a**3 + 9*a**2.
5*a*(a + 1)*(4*a - 1)
Let m be (-3)/6 + (-28)/(-8). Factor 0*q**5 - q**5 - 2*q**m - q**4 - q**3 + q**2 + 4*q**4.
-q**2*(q - 1)**3
Suppose a = -434 + 437. Factor -1/3*r + 1/2*r**2 - 1/6*r**a + 0.
-r*(r - 2)*(r - 1)/6
Suppose 4/11*v**2 - 36/11 + 2/11*v**3 - 18/11*v = 0. What is v?
-3, -2, 3
Factor 90 - 3/2*p**2 - 177/2*p.
-3*(p - 1)*(p + 60)/2
Let s(f) be the third derivative of f**6/360 + 13*f**5/180 + 2*f**4/9 - 32*f**3/3 + 180*f**2. Determine u so that s(u) = 0.
-8, 3
Factor 35/9*g - 1/9*g**2 - 34/9.
-(g - 34)*(g - 1)/9
Suppose 0 - 4/7*s + 8/7*s**2 - 4/7*s**3 = 0. Calculate s.
0, 1
Let a be 43/8 + (-33 - -28) + 1/(-8). Factor -a + 1/4*k**2 + 0*k.
(k - 1)*(k + 1)/4
Suppose 2*c - 3 = 1, o + c = 4. Suppose -w + 3 = -4*p + 8, -o*w = 3*p - 12. Factor -1/6*j**4 + 0 + 1/2*j**3 + 1/6*j - 1/2*j**p.
-j*(j - 1)**3/6
Let j(q) be the first derivative of q**8/28 + 9*q**7/70 + 3*q**6/20 + q**5/20 + 5*q**2 - 13. Let r(v) be the second derivative of j(v). Solve r(l) = 0.
-1, -1/4, 0
Suppose 4381*a = 4404*a. Let 0*w + 2/3*w**3 + a - 14/3*w**2 = 0. Calculate w.
0, 7
Let n(j) = -2*j**2 - 3*j - 2. Let t(i) = -5*i**3 - 85*i**2 + 185*i - 235. Let d(a) = -20*n(a) + t(a). Factor d(u).
-5*(u - 3)*(u - 1)*(u + 13)
Let x be ((20/14)/(-5))/(108/(-126)). Determine j, given that x*j**2 + 2/3*j + 1/3 = 0.
-1
Let s be (-9566)/8*(-28)/49. Let h = 685 - s. Factor -h*n**2 + 2/7*n**3 - 16/7 + 24/7*n.
2