 1/4*v**4 - 1/10*v**5 - 9. Determine d, given that r(d) = 0.
-1, 0, 1, 2
Let c = -32 - -37. Suppose -2*h**3 - 143*h**2 + 145*h**2 + 2*h**c + 2*h**4 - 4*h**4 = 0. What is h?
-1, 0, 1
Let m be ((-10)/3)/(6/(-9)). Let d(c) be the first derivative of m - 1 - 14*c + 3*c - c**3 - c - 6*c**2. Solve d(r) = 0 for r.
-2
Factor 317*z**4 + 784*z - 639*z**4 + 326*z**4 + 116*z**3 + 896*z**2.
4*z*(z + 1)*(z + 14)**2
Let j(z) = 16*z**2 + 46*z - 159. Let l(m) = m**3 - m - 3. Let f(u) = 5*j(u) + 5*l(u). Factor f(a).
5*(a - 2)*(a + 9)**2
Let a(i) = -2*i**2 + 0*i + 5*i + 2 + 3*i**2 - 11. Let v be a(-7). Find t, given that 2*t**5 + 6*t**2 - 9*t**3 + t**v + 0*t**3 = 0.
-2, 0, 1
Let l be 4/10 - 25/((-13875)/148). Factor l*t**3 - 2/3*t**2 + 2/3 - 2/3*t.
2*(t - 1)**2*(t + 1)/3
Factor -171*h**2 + 0*h**3 - 3*h**5 + 382*h**2 + 24*h**3 - 175*h**2 - 3*h**4.
-3*h**2*(h - 3)*(h + 2)**2
Let d(x) = x**2 - x + 1. Suppose 13 = 2*o - 11. Suppose -a + 3 = 2*a. Let i(w) = -14*w**2 + 14*w - 12. Let k(m) = a*i(m) + o*d(m). Let k(n) = 0. What is n?
0, 1
Let r(d) be the second derivative of d**5/160 + d**4/96 - 7*d**3/6 + d - 217. Factor r(t).
t*(t - 7)*(t + 8)/8
Let b(n) = 4*n**2 + 1. Let h be b(-1). Suppose -4*t - 10 + 4 = -3*f, 5*t = h*f - 10. Solve -4*j + 6*j**2 - 5*j**2 - 5*j**f = 0.
-1, 0
Let s = 0 - -2. Let m(a) = a - 1. Let x be m(1). Factor -4*n**5 - 4*n**5 + 6*n**5 - 2*n**s + 2*n**3 + x*n**2 + 2*n**4.
-2*n**2*(n - 1)**2*(n + 1)
Let x be ((-2)/(-3)*3)/(-5) + 2480/1200. Factor -4/3*k**2 - x*k - 1/3*k**3 - 2/3.
-(k + 1)**2*(k + 2)/3
Let g be 3 - (45*2)/5. Let x be (-6)/12 + 3 + g/6. Suppose 1/2*z**4 + 1/3*z**5 - 1/3*z**3 + 0*z + 0*z**2 + x = 0. What is z?
-2, 0, 1/2
Let b be ((-12)/66)/((-4)/44). Determine y so that -1 - 1/4*y**b - y = 0.
-2
Let c = 12 - 24. Let p be (c/9*-3)/2. Let -2*w**5 - 3*w**2 + 2*w**3 - w**4 + 0*w**4 + 4*w**p + 0*w**4 = 0. What is w?
-1, -1/2, 0, 1
Let w be (1/(-3))/(150/(-36) + 4). Suppose 13/6*a**4 + 1/3*a**5 - 2/3*a**w - 4*a - 3/2 + 11/3*a**3 = 0. Calculate a.
-3, -1, -1/2, 1
Let v(q) = -90*q**3 - 195*q**2 - 414*q - 246. Let i(c) = 17*c**3 + 39*c**2 + 83*c + 49. Let r(w) = 21*i(w) + 4*v(w). Factor r(h).
-3*(h - 15)*(h + 1)**2
Let m = 19978 + -79905/4. Let 3/4*s**2 + 1/4*s**5 + m*s**3 + 0*s + 0 + 5/4*s**4 = 0. Calculate s.
-3, -1, 0
Let t(b) = 5*b**3 - 42*b**2 + 429*b - 1160. Let g(o) = 9*o**3 - 83*o**2 + 857*o - 2319. Let n(p) = -4*g(p) + 7*t(p). Let n(r) = 0. What is r?
4, 17
Let i(x) = x**2 - 4*x - 8. Let y be i(6). Let a be 2/(4/y - 0). Suppose 6*s - 6*s + 2*s**a + 0*s**2 = 0. Calculate s.
0
Let n(i) = -3*i + 7. Let g be n(9). Let z be 1 + (-25)/g + -2. Factor -z + 1/4*x**2 - 1/4*x**3 + 1/4*x.
-(x - 1)**2*(x + 1)/4
Let t(f) be the first derivative of 2*f**5/25 + 86*f**4/5 + 6612*f**3/5 + 38988*f**2 + 370386*f/5 - 436. Find c, given that t(c) = 0.
-57, -1
Suppose -4/17 + 10/17*a + 2/17*a**3 - 8/17*a**2 = 0. Calculate a.
1, 2
Factor 1/2*b**2 - 14 + 6*b.
(b - 2)*(b + 14)/2
Let q(s) be the second derivative of s**5/300 - s**4/30 - s**3/6 - 41*s**2/2 + 3*s - 1. Let u(n) be the first derivative of q(n). Let u(x) = 0. Calculate x.
-1, 5
Factor -1/4*b**2 - 23/4*b - 11/2.
-(b + 1)*(b + 22)/4
Let t = 34 + -31. What is q in -9*q**4 + q**4 + q**5 - 3*q**t - q**3 - 5*q**5 = 0?
-1, 0
Suppose 5*m - i - 3*i = 27, 5*m = -5*i. Let c(w) = 2*w**5 - 5*w**4 - 7*w**3. Let a(f) = -4*f**5 + 9*f**4 + 13*f**3. Let y(x) = m*a(x) + 5*c(x). Factor y(o).
-2*o**3*(o - 2)*(o + 1)
Suppose 15 + 20 = 5*s. Suppose -8 = -9*t + s*t. Factor -3*y**4 + 3*y**2 + 0*y**4 + 0*y**2 + 0*y**t.
-3*y**2*(y - 1)*(y + 1)
Suppose -3*i = -8*i - r + 26, -18 = -4*i + 2*r. Factor 1 + 4 - 3*k**2 - 3*k - i.
-3*k*(k + 1)
Factor 8/3*q**5 + 0*q**3 + 0*q**2 + 0*q + 2/3*q**4 + 0.
2*q**4*(4*q + 1)/3
Let d(x) be the first derivative of 8*x - 1/50*x**5 + 0*x**4 + 2/5*x**2 - 5 + 1/5*x**3. Let j(o) be the first derivative of d(o). Suppose j(c) = 0. Calculate c.
-1, 2
Suppose 0*s = -5*s + 18*s. Let o(b) be the third derivative of s - 1/6*b**3 - 1/160*b**6 + 5*b**2 - 1/6*b**4 - 13/240*b**5 + 0*b. Factor o(f).
-(f + 2)**2*(3*f + 1)/4
Suppose 2*c + 9 = -1, 3*c + 63 = 3*i. Let q be (-12)/i*(1 + -6 + 1). Solve 0*t + 0 - 1/3*t**2 - 1/3*t**q = 0.
-1, 0
Factor -10167*w - 19448*w**2 - 160*w**4 + 5*w**5 + 1910*w**3 - 6445 + 33252*w - 8135 + 9188*w**2.
5*(w - 9)**3*(w - 4)*(w - 1)
Let q(g) be the first derivative of -5*g**2 + 24 - 5/4*g**4 - 5*g**3 + 0*g. Find d such that q(d) = 0.
-2, -1, 0
Let b = -10 + 14. Factor -5*r**4 - 2*r**5 + b*r**3 - 4*r**4 - 2*r - 16*r**3 + r**4 - 8*r**2.
-2*r*(r + 1)**4
Let a(j) be the third derivative of j**6/120 + j**5/30 - j**4/6 - 4*j**3/3 - 9*j**2. Suppose a(x) = 0. Calculate x.
-2, 2
Let m(q) be the first derivative of 3*q**4/4 + 32*q**3 + 249*q**2/2 - 348*q - 328. What is n in m(n) = 0?
-29, -4, 1
Let c(v) be the second derivative of v**6/320 - 3*v**5/160 - v**4/16 + 3*v**3/4 - 49*v**2/2 + 4*v - 5. Let a(l) be the first derivative of c(l). Factor a(w).
3*(w - 3)*(w - 2)*(w + 2)/8
Factor -2*k**2 + 0*k + 2*k + k**2 + 8 - 28 + 10*k.
-(k - 10)*(k - 2)
Let f(t) be the second derivative of t**5/110 - 2*t**4/11 + 7*t**3/11 + 98*t**2/11 - 5*t + 51. Determine q so that f(q) = 0.
-2, 7
Let k(z) be the third derivative of -z**10/15120 - z**9/3780 - z**8/3360 - 5*z**4/6 + 10*z**2. Let v(c) be the second derivative of k(c). Solve v(l) = 0 for l.
-1, 0
Let y be ((-22)/(-99))/(1/9). Find n such that -18*n**2 - 8*n**3 + 4*n**5 - 32*n - 12*n**4 + 29*n**y + 37*n**2 = 0.
-2, 0, 1, 2
Let d(v) be the second derivative of -13/33*v**3 - 9/110*v**5 - 2/11*v**2 + 38*v - 10/33*v**4 + 0. Factor d(s).
-2*(s + 1)**2*(9*s + 2)/11
Solve -2/7*q**5 - 20/7*q**2 + 12/7*q**3 - 6*q - 18/7 + 6/7*q**4 = 0 for q.
-1, 3
Let t(c) be the third derivative of -5/6*c**4 + 0*c**3 - 1/12*c**5 - 5*c**2 + 0*c + 0. Factor t(k).
-5*k*(k + 4)
Let j(x) = 4*x**4 + 108*x**3 + 302*x**2 + 292*x + 106. Let h(u) = 12*u**4 + 324*u**3 + 907*u**2 + 876*u + 323. Let g(i) = -2*h(i) + 7*j(i). Factor g(n).
4*(n + 1)**3*(n + 24)
Let u(q) be the second derivative of q**9/75600 + q**8/33600 - q**7/12600 - q**6/3600 + 2*q**4/3 + 17*q. Let n(z) be the third derivative of u(z). Factor n(l).
l*(l - 1)*(l + 1)**2/5
Let l(d) = -15*d**2 - 17*d + 34. Let g(p) = 19*p**2 + 17*p - 35. Let m(q) = -4*g(q) - 5*l(q). Factor m(t).
-(t - 15)*(t - 2)
Let c(q) be the second derivative of -3*q**5/20 + 7*q**4/6 - 25*q**3/18 + 2*q**2/3 - 37*q. Factor c(w).
-(w - 4)*(3*w - 1)**2/3
Let h be ((-3)/6)/(33/(-44)). Find n such that 0*n + 2/3*n**2 - h = 0.
-1, 1
Let q(z) = 18*z**2 - 62*z + 52. Let o be (-10 + 12)*2/(-1). Let s(t) = -18*t**2 + 63*t - 53. Let f(k) = o*s(k) - 6*q(k). Solve f(n) = 0.
5/3
Determine b so that 2/5*b**3 + 0 + 2/5*b - 4/5*b**2 = 0.
0, 1
Let d(k) be the first derivative of -2*k**3/21 + 10*k**2/7 + 22*k/7 - 226. Suppose d(v) = 0. What is v?
-1, 11
Let f = -21 - -35. Factor 2 - 10*h - 1 - 4*h**2 + f - h**2.
-5*(h - 1)*(h + 3)
Let v = 61 + -57. Solve -11*x**3 - v + 6*x**4 + 42*x**2 - 44*x**2 - 3*x**3 + 9*x + 5*x = 0 for x.
-1, 1/3, 1, 2
Let b(n) be the second derivative of n**7/42 - 7*n**6/30 - 17*n**5/20 - 3*n**4/4 - 2*n - 83. Determine l, given that b(l) = 0.
-1, 0, 9
Let x = 73/126 - 11/21. Let c(m) be the first derivative of 0*m**3 + 1/6*m**4 + 0*m + 2 - x*m**6 + 0*m**5 - 1/6*m**2. Let c(o) = 0. Calculate o.
-1, 0, 1
Suppose 4*o = 141 - 49. Suppose 0 = 5*y + 3*b - o, y = 2*b + 3*b - 1. Factor 0*n**y + 0 + 0*n**2 - 2/7*n**5 + 4/7*n**3 - 2/7*n.
-2*n*(n - 1)**2*(n + 1)**2/7
Solve -140/11 - 78/11*f + 14/11*f**3 + 210/11*f**2 - 6/11*f**4 = 0.
-5, -2/3, 1, 7
Let x(s) = 20*s**3 + 208*s**2 - 228*s - 416. Let k(o) = 13*o**3 + 138*o**2 - 152*o - 277. Let v(d) = 8*k(d) - 5*x(d). Factor v(w).
4*(w - 2)*(w + 1)*(w + 17)
Let v(h) = -h**2 - 5*h - 4. Let u be v(-3). Factor -4*k + 4*k**2 - 8 + 3*k**2 - 5*k**u + k**3.
(k - 2)*(k + 2)**2
Let x(i) = 24*i**4 - 41*i**3 + i**2 + 7*i. Suppose 0 = -2*w + 8*w - 24. Let j(b) = 12*b**4 - 20*b**3 + 4*b. Let p(f) = w*x(f) - 9*j(f). Solve p(u) = 0.
-2/3, 0, 1
Let n(w) be the first derivative of -w**6/15 - 2*w**5/25 + 2*w**4/5 + 8*w**3/15 - 96. Solve n(q) = 0.
-2, -1, 0, 2
Let u be (-3 - (-3)/(-6))*(-17)/357. Factor 0 + u*g**4 - 1/2*g**3 + 0*g + 1/3*g**2.
g**2*(g - 2)*(g - 1)/6
Let c(o) = -o**4 + o. Let p(q) = 2*q**4 + 22*q**3 - 38*q**2 + 14*q