*(v + 1)*(5*v + 2)/3
Let h = -7189/6 - -3596/3. Factor 0 - 3/4*x + h*x**2 + 1/4*x**3.
x*(x - 1)*(x + 3)/4
Let a(g) be the second derivative of -g**5/10 - 5*g**4/6 + 2*g + 1. What is b in a(b) = 0?
-5, 0
Suppose 0*y + 8*y = 32. Let -18*s**3 - 3*s**y + 3*s - 3*s**2 + 2 + 0 + 11*s**3 = 0. What is s?
-1, 2/3
Let b(m) = 3 - 1 + m - 3. Suppose 30*r + 53*r + 332 = 0. Let j(z) = -z**2 + 2*z - 1. Let f(x) = r*b(x) - 4*j(x). Solve f(o) = 0 for o.
1, 2
Suppose 0*s = s, 0 = 4*a + 4*s - 28. Suppose -7*o = a*o - 42. Factor -1/3*q**o + 0*q + 0 + 1/3*q**2.
-q**2*(q - 1)/3
Let d(l) be the first derivative of 9*l**5/10 - 2*l**4 + 5*l**3/6 + l**2/2 - 13. Find i, given that d(i) = 0.
-2/9, 0, 1
Let s(w) = -w**4 - w**3 + w**2 - 1. Let g(m) = 9*m**4 + 72*m**3 + 417*m**2 + 660*m + 306. Let v(z) = g(z) + 6*s(z). Solve v(h) = 0 for h.
-10, -1
Let -91/2*d**2 + 9/2*d**4 - 46*d - 9*d**3 - 14 = 0. Calculate d.
-1, -2/3, 14/3
Suppose -z = 642 - 645. Let h(y) be the second derivative of 3/5*y**2 - 8*y + 1/5*y**4 + 3/100*y**5 + 1/2*y**z + 0. Factor h(o).
3*(o + 1)**2*(o + 2)/5
Let k(s) be the first derivative of -s**7/420 + 2*s**6/45 - 7*s**5/20 + 3*s**4/2 - 2*s**3 - 44. Let x(b) be the third derivative of k(b). Factor x(m).
-2*(m - 3)**2*(m - 2)
Suppose -4*n - 47 = -167. Suppose -n = -13*a + 9. What is j in 0*j - 2/3*j**a + 0 + 0*j**2 - 2/3*j**4 = 0?
-1, 0
Let c(u) be the third derivative of -u**5/20 - u**4/8 + 34*u**2. Factor c(m).
-3*m*(m + 1)
Let 100 - 12*c**4 + 1274*c**3 - 337*c**3 + 160*c - 436*c**3 - 376*c**2 - 373*c**3 = 0. What is c?
-1/3, 1, 5
Factor 2*a**2 + 50/11 - 2/11*a**3 - 70/11*a.
-2*(a - 5)**2*(a - 1)/11
Let f = -5407/6 + 1805/2. Factor 0*q + f - q**2 - 1/3*q**3.
-(q - 1)*(q + 2)**2/3
Suppose 19*d - 25*d + 36 = 0. Let p(w) be the first derivative of w**4 + 3 + 4*w - 8/3*w**3 - 1/3*w**d - w**2 + 4/5*w**5. Let p(i) = 0. Calculate i.
-1, 1, 2
Let u(d) be the first derivative of -d**5/12 + 10*d**4/9 - 35*d**3/6 + 15*d**2 + 6*d - 11. Let j(i) be the first derivative of u(i). Let j(v) = 0. Calculate v.
2, 3
Factor 91*a**2 + 12 - 44*a + 320*a**3 + 309*a**2 + 78 - 483*a + 92*a.
5*(a + 2)*(8*a - 3)**2
Suppose 0*w - 988 = 4*w - 996. Factor -2/3*a**w + 0*a + 0.
-2*a**2/3
Let u(o) be the second derivative of 0 + 1/3*o**4 - 2*o**3 - 34*o + 4*o**2. Factor u(j).
4*(j - 2)*(j - 1)
Let p(q) be the second derivative of 0 + 6*q + 1/5*q**2 + 2/15*q**3 + 1/30*q**4. Factor p(o).
2*(o + 1)**2/5
Find h such that -472/7*h**3 + 1152/7*h - 4/7*h**5 - 92/7*h**4 + 0 + 768/7*h**2 = 0.
-12, -1, 0, 2
Let g(n) = -14*n + 322. Let o be g(23). Let r = 1 + -1. Determine i, given that 2/3*i**4 - 4/3*i**2 + o*i**3 + r*i + 2/3 = 0.
-1, 1
Let p(v) be the second derivative of 0 + 1/5*v**5 + 2/3*v**4 - 11*v - 8/3*v**3 - 16*v**2. Factor p(y).
4*(y - 2)*(y + 2)**2
Let u(b) = 3*b**2 + 13*b. Let g = -48 - -46. Let z(x) = -x**2 - 4*x. Let k(h) = g*u(h) - 7*z(h). Factor k(c).
c*(c + 2)
Solve 2/11*k**3 - 48/11*k - 46/11*k**2 + 0 = 0 for k.
-1, 0, 24
Suppose 4*c = -5*t - 10, 4*t - 6*t + 3*c = -19. Factor 4/5 + 11/5*f - 3/5*f**t.
-(f - 4)*(3*f + 1)/5
Let k be (-2)/18 + (-4 - (-52)/12). What is h in 2/9*h**2 - 2/9*h**3 + 2/9*h - k = 0?
-1, 1
Let d(s) = 4*s**2 + 43*s - 107. Let k(x) = -4*x**2 - 44*x + 108. Let z(p) = -4*d(p) - 5*k(p). Find i such that z(i) = 0.
-14, 2
Let u = 4045/528 + -359/48. Determine p, given that 0*p**3 - 2/11*p**4 + 0*p + 0 + u*p**2 = 0.
-1, 0, 1
Let f(i) be the second derivative of -2*i**7/21 - 16*i**6/15 - 23*i**5/5 - 28*i**4/3 - 8*i**3 + 2*i + 16. Find x, given that f(x) = 0.
-3, -2, -1, 0
Let r(x) be the second derivative of x**7/357 - x**6/51 - x**5/34 + 15*x**4/34 - 108*x**2/17 - 227*x. Let r(t) = 0. Calculate t.
-2, 3
Let i(j) be the first derivative of -162*j - 42 - 2/3*j**3 - 18*j**2. Factor i(p).
-2*(p + 9)**2
Let x(s) be the second derivative of -5/3*s**4 + 1/6*s**6 + 20/3*s**3 + 0*s**2 + 0 - 1/2*s**5 - 8*s. Let x(a) = 0. What is a?
-2, 0, 2
Let n = 3 - -3. Suppose u - b = b + 4, -2*u + 2*b = -n. Solve -4 + 4*f + 4*f - u*f**2 - 2*f = 0 for f.
1, 2
Let a(o) = 2*o**2 - 2*o - 1. Let j = -23 + 22. Let i be a(j). Factor -21*d**i - 4*d**5 + 21*d**3 + d**4.
-d**4*(4*d - 1)
Let o(x) = 15*x**4 + 85*x**3 - 265*x**2 - 225*x + 280. Let m(k) = k**4 + 6*k**3 - 19*k**2 - 16*k + 20. Let i(z) = 55*m(z) - 4*o(z). Solve i(p) = 0 for p.
-2, 1
Let v(r) be the third derivative of 2/39*r**4 + 1/780*r**6 + 4/39*r**3 + 1/78*r**5 + 0 - 6*r**2 + 0*r. Factor v(n).
2*(n + 1)*(n + 2)**2/13
Let c(t) = -9*t**2 - 27*t - 72. Let y(r) = -r**2 + 2*r - 3. Let o(b) = c(b) - 4*y(b). Let o(d) = 0. Calculate d.
-4, -3
Let w be 15/6*15/2. Let q = -20515 + 20517. Factor 45/2*x**3 + 0 + 27*x**q - w*x**4 + 6*x.
-3*x*(x - 2)*(5*x + 2)**2/4
Let t(r) be the second derivative of 0 + 2/3*r**3 + 1/6*r**4 + 0*r**2 - 3/10*r**5 - 1/15*r**6 + 1/21*r**7 - 14*r. Factor t(g).
2*g*(g - 2)*(g - 1)*(g + 1)**2
Let u(z) be the third derivative of -z**6/48 + 5*z**5/36 - 5*z**4/16 + 5*z**3/18 + 129*z**2. Suppose u(a) = 0. What is a?
1/3, 1, 2
Let o(l) be the first derivative of -l**7/8820 + l**5/315 + l**3/3 + 7. Let k(s) be the third derivative of o(s). Factor k(m).
-2*m*(m - 2)*(m + 2)/21
Let y(a) be the second derivative of -a**2 + 7/8*a**4 + 1/20*a**6 + 0 - 1/4*a**3 + a - 17/40*a**5. Find g such that y(g) = 0.
-1/3, 1, 4
Let t be 0/((-4 - -8) + -3). Let f(m) be the third derivative of t*m**4 + 0 + 0*m + 2/9*m**3 - 1/45*m**5 - 3*m**2. Factor f(w).
-4*(w - 1)*(w + 1)/3
Let k = 63 + -39. Let h be ((-5)/(75/(-4)))/(k/140). Find m, given that 4/9 - h*m - 4/9*m**3 + 14/9*m**2 = 0.
1/2, 1, 2
Let a(w) be the first derivative of 4/3*w + 28/3*w**6 + 52/3*w**5 - 23/3*w**3 + 7/3*w**2 + 13 - 379/24*w**4. Suppose a(f) = 0. What is f?
-2, -1/4, 2/7, 2/3
Let t(d) be the third derivative of d**6/1440 + d**5/160 + d**4/48 + 4*d**3 - 36*d**2. Let l(n) be the first derivative of t(n). Find u such that l(u) = 0.
-2, -1
Let h be -6*92/(-8) - -3. Let g = -70 + h. Factor -k**4 - 1/2*k**g - 1/4*k + 7/4*k**3 + 0.
-k*(k - 1)**2*(4*k + 1)/4
Solve -384/13 - 224/13*w - 38/13*w**2 - 2/13*w**3 = 0.
-8, -3
Let b be ((-12)/(-36))/(-1*(-5)/9)*5. Factor 0 + 4/9*p - 2/3*p**b - 2/9*p**2.
-2*p*(p + 1)*(3*p - 2)/9
Factor -2/11*r**2 - 16/11 - 18/11*r.
-2*(r + 1)*(r + 8)/11
Let b be ((-5)/(-10))/(2/(-108)). Let r = 29 + b. Factor 5*y - 4*y**r + y + 18*y + 6 - 42.
-4*(y - 3)**2
Let c be (8 - 119/14)/(2/(-16)). Let v(r) be the third derivative of 1/40*r**6 + 0 + 2*r**2 + 1/20*r**5 + 0*r - 1/70*r**7 + 0*r**3 - 1/8*r**c. Factor v(i).
-3*i*(i - 1)**2*(i + 1)
Let v(i) be the second derivative of -i**7/630 + i**6/60 - i**4/3 + 8*i. Let z(q) be the third derivative of v(q). Factor z(w).
-4*w*(w - 3)
Let b = 1 - 7. Let h be (12/18)/((-2)/b). What is l in -l - 19*l**2 - 5*l + 4*l**4 + 7*l**2 - h*l = 0?
-1, 0, 2
Let y(m) = -70*m**3 - 195*m**2 + 1145*m - 1250. Let f(t) = -17*t**3 - 49*t**2 + 286*t - 312. Let x(r) = -25*f(r) + 6*y(r). Determine i, given that x(i) = 0.
-15, 2
Let -j - 17/4*j**2 + 3/4 - 5/2*j**3 = 0. Calculate j.
-1, 3/10
Suppose 5832/7 + 216/7*b + 2/7*b**2 = 0. Calculate b.
-54
Let s = 6/65 + 33/65. Let k(j) = j**3 - 5*j**2 + 3*j + 6. Let v be k(4). Factor 2/5 + 1/5*o**v + s*o.
(o + 1)*(o + 2)/5
Let g(p) be the first derivative of 21/4*p**4 - 17*p**3 - 18*p - 3/5*p**5 + 51/2*p**2 - 42. Factor g(s).
-3*(s - 3)*(s - 2)*(s - 1)**2
Let o = 71/28 + -583/252. Factor -2/9*g**2 + o*g**3 + 0 + 0*g.
2*g**2*(g - 1)/9
Let h = 37 - 30. Let o be 1/(-5)*-5*3/h. Factor 6/7*a - o - 3/7*a**2.
-3*(a - 1)**2/7
Let f = 40113/8 - 5014. Factor -f*b**3 - 1/8*b**2 + 1/2 + 1/2*b.
-(b - 2)*(b + 1)*(b + 2)/8
Suppose -60 = 19*l - 24*l. Solve -3*w**2 - 3*w**2 + 7*w**2 - l*w**4 + 11*w**4 = 0.
-1, 0, 1
Let g(f) be the third derivative of -f**6/300 + 3*f**5/10 - 161*f**4/20 - 529*f**3/15 - 181*f**2. Suppose g(r) = 0. Calculate r.
-1, 23
Solve 111*f - 186 - 5*f**2 + 24*f + 515 - 39 = 0.
-2, 29
Let a be (-6)/(-15) - 4/10. Suppose 262 - 38 + 356 = 116*z. Let 2/7*d**4 + 2/7*d**z + 0*d - 2/7*d**2 - 2/7*d**3 + a = 0. Calculate d.
-1, 0, 1
Let h be ((-2)/6)/(9/(-513)). Suppose h = -2*r + 59. Factor 24*v**2 - r*v**4 + 186*v**4 + 44*v**4 + 75*v**5 + 132*v**3.
3*v**2*(v + 2)*(5*v + 2)**2
Solve -729/2*f + 81 - 408*f**3 + 594*f**2 + 96*f**4 = 0.
3/4, 2
Let w be (5 - (-182)/(-35)) + (-1262)/15. Let p = w + 85. Sol