r 81 - 40*d - 8 + v - 3 + 5*d**2.
5*(d - 4)**2
Suppose 40 = 3*x + 31. Let j(a) be the second derivative of -1/10*a**5 + 0*a**x - 6*a + 0*a**2 - 1/15*a**6 + 0 + 1/3*a**4. Determine d, given that j(d) = 0.
-2, 0, 1
Let i(h) = -h + 46. Let s be i(14). Factor -s + 5*g**2 + 3*g**2 - g + 17*g - 4*g**3.
-4*(g - 2)**2*(g + 2)
Let b be (-26)/(-65)*10 + 18/10 + -1. What is f in -3/5*f**4 - b*f**2 + 12/5*f + 0 + 3*f**3 = 0?
0, 1, 2
Let o(n) = -6*n**2 - 32*n - 74. Let f(j) = -7*j**2 - 30*j - 75. Let y(s) = 2*f(s) - 3*o(s). Factor y(h).
4*(h + 3)*(h + 6)
Suppose 0*h - 3*s + 13 = 5*h, -h = 2*s - 4. Let y be 940/630 - h/(-9). Factor -3/7*f**4 + 0 + 12/7*f**3 + 0*f - y*f**2.
-3*f**2*(f - 2)**2/7
Factor -4 - 17/4*t - 1/4*t**2.
-(t + 1)*(t + 16)/4
Let l(y) be the first derivative of y**5/10 - y**4/9 - 20*y**3/27 - 8*y**2/9 + 17*y - 2. Let m(h) be the first derivative of l(h). Factor m(s).
2*(s - 2)*(3*s + 2)**2/9
Suppose -2*y - 12 = 0, 2*u + 15 = y + 25. Factor 2*t - 4/3 - 2/3*t**u.
-2*(t - 2)*(t - 1)/3
Let k(i) be the second derivative of 0 + 2/5*i**4 + 1/50*i**5 + 9*i + 16/5*i**3 + 64/5*i**2. Factor k(u).
2*(u + 4)**3/5
Let h(p) = -p**2 + 12*p + 34. Let b be h(14). Suppose -2*y - 8 = -14. Solve 4 + 1/2*d**y + 3*d**2 + b*d = 0 for d.
-2
Suppose 25*m + 6 = 28*m. Let q(n) be the third derivative of 2/3*n**3 - 1/90*n**6 + 0 + 5/18*n**4 + 0*n + 1/45*n**5 - 5*n**m. Determine k so that q(k) = 0.
-1, 3
Find i, given that 4/3*i**2 - 11/3*i + 1/3*i**3 + 2 = 0.
-6, 1
Find q, given that -8 - q**2 - 1 + 0*q**3 - 14*q**2 + 3*q**3 + 21*q = 0.
1, 3
Let d be (-10)/25*90/(-27). Let q(l) be the first derivative of -4/3*l - 4/9*l**3 + 10 - d*l**2. Factor q(v).
-4*(v + 1)**2/3
Let q be ((-2)/4*1)/((-1)/4). Let d(r) be the third derivative of 3*r**q + 1/15*r**5 + 0*r**3 + 0 - 1/6*r**4 + 0*r. Factor d(a).
4*a*(a - 1)
Let n be (5/((-75)/267))/(-3). Let p = -16/3 + n. Factor 12/5*w - p*w**2 - 12/5.
-3*(w - 2)**2/5
Suppose -3*z = 2 + 13. Let v(b) = 24*b**2 - 51*b - 9. Let c(o) = -49*o**2 + 101*o + 19. Let t(h) = z*v(h) - 3*c(h). Factor t(l).
3*(l - 2)*(9*l + 2)
Let b(f) = -5*f**2 - 5*f - 2. Let x = -23 - -25. Let d(t) = t**x - 6 - 15*t - 16*t**2 - t**2. Let v(p) = -7*b(p) + 2*d(p). Let v(u) = 0. Calculate u.
-1, -2/3
Let r be (-29)/(-9) + (-2)/9. Let a(v) = v**3 - 2*v**2 - v - 4. Let t be a(r). Factor 3 - 16*u**3 + 15*u**4 + u - 14*u**3 - 3*u**5 - t*u + 30*u**2 - 14*u.
-3*(u - 1)**5
Suppose 0 = -4*k + 16, -4*k + 14 = 2*w - 8. Let q be 1/1*1 + (-5 - -4). Determine c, given that c**3 - 6*c + q*c**2 - 3*c**w + 2*c**2 + 4*c**2 + 2 = 0.
1
Let f be 16/80 + 12/(-10). Let n(z) = -z + 0*z + 0 + 1 + z**4. Let a(q) = 2*q**3 + q**2 - 3*q + 3. Let u(s) = f*a(s) + 3*n(s). What is t in u(t) = 0?
-1/3, 0, 1
Let b(k) be the third derivative of -k**6/210 - k**5/5 - 20*k**4/7 - 200*k**3/21 - 403*k**2. Factor b(l).
-4*(l + 1)*(l + 10)**2/7
Factor 0*i**2 + i - 2/3 - 1/3*i**3.
-(i - 1)**2*(i + 2)/3
Determine d, given that 1/6 - 5/6*d + 2/3*d**2 = 0.
1/4, 1
Let m(n) be the third derivative of -n**7/2100 - n**6/180 - 2*n**5/75 - n**4/15 - n**3/2 + 9*n**2. Let g(h) be the first derivative of m(h). Factor g(u).
-2*(u + 1)*(u + 2)**2/5
Suppose -1/3*c**2 + 0*c + 1/6*c**3 + 0 - 1/6*c**5 + 1/3*c**4 = 0. What is c?
-1, 0, 1, 2
Let h(v) be the third derivative of -v**5/60 - 5*v**4/24 + v**3 - 3*v**2 + 5. Factor h(s).
-(s - 1)*(s + 6)
Let b(v) be the third derivative of v**6/40 - 11*v**5/30 + 43*v**4/24 - 2*v**3 + 11*v**2. Suppose b(c) = 0. Calculate c.
1/3, 3, 4
Suppose 0 = 3*f + 2*s - 4, -s = -2*f + 2*s - 19. Let t(w) = w**2 - w. Let b(n) = n + n + 2*n - 8*n. Let z(y) = f*t(y) + b(y). Factor z(x).
-2*x*(x + 1)
Factor 28/3*u + 2/3*u**3 + 14/3*u**2 + 16/3.
2*(u + 1)*(u + 2)*(u + 4)/3
Let q = -4395 + 4397. Let 2*p - 2/5*p**q - 8/5 = 0. What is p?
1, 4
Suppose -16*j + 29*j - 26 = 0. Let z(d) be the second derivative of -3*d + 2*d**4 + 0 + 0*d**j - 9/10*d**5 - 4/3*d**3. Factor z(f).
-2*f*(3*f - 2)**2
Factor -601526/11*t - 402/11*t**3 + 0 - 26934/11*t**2 - 2/11*t**4.
-2*t*(t + 67)**3/11
Suppose -i + 15 = t + 4*t, -5*i - 3*t = -53. Let q be 1/i*(26 - 22). Factor 0 - q*a**4 + 2/5*a**2 + 0*a**3 - 1/5*a + 1/5*a**5.
a*(a - 1)**3*(a + 1)/5
Let y(p) be the second derivative of -p**4/3 - 12*p**3 - 162*p**2 + 425*p. Solve y(a) = 0.
-9
Let z(g) be the third derivative of g**5/30 - 4*g**4 + 192*g**3 + 152*g**2. Solve z(t) = 0 for t.
24
Suppose -33*m + 52 = -14. Let v = -62 - -188/3. Find b such that -2/3 - b + v*b**m = 0.
-1/2, 2
Let o(y) be the third derivative of 7*y**5/60 - 5*y**4/16 + y**3/12 + 39*y**2. Factor o(i).
(i - 1)*(14*i - 1)/2
Let w(d) = -27*d**3 + 88*d**2 - 94*d + 30. Let a(n) = n**3 + n**2 - n + 1. Let x(r) = 2*a(r) + w(r). Suppose x(c) = 0. What is c?
4/5, 2
Let t = 1731/1298 + -1/3894. Determine s so that 2*s + t*s**3 - 1/3 - 3*s**2 = 0.
1/4, 1
Let p be (-13)/5 - 3948/(-705). Suppose -4/3 - 7*h**2 + 16/3*h + 11/3*h**p - 2/3*h**4 = 0. What is h?
1/2, 1, 2
Let a = -90742/17 + 5338. Factor -8/17*i**2 + a - 14/17*i.
-2*(i + 2)*(4*i - 1)/17
Let b = -73 - -125. Let u(t) = -5*t**3 - 7*t**2 - t + 7. Let a(s) = 44*s**3 + 62*s**2 + 8*s - 62. Let c(v) = b*u(v) + 6*a(v). Determine h so that c(h) = 0.
-2, -1, 1
Let w = 895 - 2050. Let t be (-364)/w + 4/(-22). Determine p so that -t*p + 2/15*p**2 + 0 = 0.
0, 1
Suppose -5*q + 3*q = -8. Suppose 0 = v + 4*g - 2*g, 4*v - q*g - 12 = 0. Suppose -4 + c**5 - c**3 - 3*c**4 - 27*c**2 + 20*c**2 + 14*c**v = 0. What is c?
-1, 1, 2
Let -196*z - 2*z**3 - 40*z**2 + z**3 + 68*z**2 = 0. Calculate z.
0, 14
Let w(m) = 1 - m**2 - 13*m - 5*m**2 + 5*m**2 + 12*m. Let o(i) = -i**3 + 3*i**2 + 4*i - 4. Let l(h) = -o(h) - 4*w(h). Factor l(u).
u**2*(u + 1)
Let j(h) = 20*h - 140. Let m be j(7). Let b(v) be the second derivative of 1/10*v**2 - 1/50*v**5 + 2*v - 1/150*v**6 + m + 0*v**4 + 1/15*v**3. Factor b(f).
-(f - 1)*(f + 1)**3/5
Factor q**2 + 14 + 3*q**4 + 21 + 19 + 6*q**3 - 66 - 24*q - 10*q**2.
3*(q - 2)*(q + 1)**2*(q + 2)
Let f(y) = 15*y - 1155. Let z be f(77). Factor 14/5*g**2 - 4/5*g - 2*g**3 + z.
-2*g*(g - 1)*(5*g - 2)/5
Let g = -3463/58 - -6/29. Let h = g + 60. Factor 1/3*t**2 - 1/2*t**4 + 1/6*t**5 + 1/6 + 1/3*t**3 - h*t.
(t - 1)**4*(t + 1)/6
Let k(l) be the first derivative of -l**4/14 + 11*l**3/7 - 90*l**2/7 + 325*l/7 - 220. Determine o, given that k(o) = 0.
5, 13/2
Let w = -3979/5 + 797. Let c be (-3 - -7)/(-4) + 1. Solve c - 3/5*k**2 + w*k = 0 for k.
0, 2
Let 0*m - 4/5*m**2 + 4/5*m**4 - 2/5*m**3 + 2/5*m**5 + 0 = 0. What is m?
-2, -1, 0, 1
Let s be 6 - 7/(7/4). Suppose 0*h = s*h - 4. Suppose -21*w**h - 4*w**3 + 9*w**2 - 12*w**3 + 16*w + 16 - 4*w**4 = 0. Calculate w.
-2, -1, 1
Let g(d) be the third derivative of d**8/15120 + d**7/5670 - d**6/1620 - d**5/270 - 9*d**4/8 + 5*d**2. Let t(y) be the second derivative of g(y). Factor t(i).
4*(i - 1)*(i + 1)**2/9
Let x(d) be the first derivative of d**4/38 - 20*d**3/57 + 17*d**2/19 - 16*d/19 - 538. Determine b so that x(b) = 0.
1, 8
Let q be 22/(-616)*-35 - 1. Determine b so that 1/4*b**5 - 1/2*b**3 - q*b**4 + 0 + 0*b**2 + 0*b = 0.
-1, 0, 2
Let k be -3*((-4)/4)/(-1). Let v be (-2)/(-27)*k*6/(-1). Let -v*n + 0 + 2/3*n**2 = 0. What is n?
0, 2
Let w(t) be the first derivative of -t**7/1260 + t**6/360 - t**4/72 + t**3/36 + 4*t**2 - 15. Let p(h) be the second derivative of w(h). What is r in p(r) = 0?
-1, 1
Let o(d) be the third derivative of 0 + 0*d - 1/33*d**3 - 1/264*d**4 + 1/660*d**5 + 18*d**2. Factor o(f).
(f - 2)*(f + 1)/11
Let r = 3/85 + -7/102. Let x = 23/15 + r. Find f, given that 0*f**2 + 0 + 3/2*f - x*f**3 = 0.
-1, 0, 1
Let a(z) = 3*z**2 - 9*z - 7. Let l(p) = -p**2 + 4*p + 3. Suppose 30 = -4*k + 7*k. Let v(x) = k*l(x) + 4*a(x). Let v(m) = 0. Calculate m.
-1
Let l(s) = 11*s**4 + 18*s**3 - 4*s**2 - 57*s - 43. Let b(o) = 90*o**4 + 145*o**3 - 30*o**2 - 455*o - 345. Let w(q) = -3*b(q) + 25*l(q). Factor w(m).
5*(m - 2)*(m + 1)*(m + 2)**2
Let p(v) be the second derivative of -v**4/60 + 14*v**3/5 - 882*v**2/5 - 9*v - 9. Find a, given that p(a) = 0.
42
Let -169*q**2 + 344*q**2 + 10*q + 2*q - 171*q**2 + 4 + 4 = 0. Calculate q.
-2, -1
Let a(v) = -2*v**4 + 14*v**3 - 15*v**2 - 19*v + 17. Let w(q) = q**4 - 7*q**3 + 7*q**2 + 9*q - 8. Let j(g) = 6*a(g) + 15*w(g). Suppose j(t) = 0. What is t?
-1, 1, 6
Let n(g) = g**3 - 1. Let z(m) = 3*m**4 + 15*m**3 - 9*m**2 + 