t derivative of -9/40*c**5 - 13/24*c**3 - 15/16*c**4 + 5/4*c**2 - 1/2*c + 11. What is k in l(k) = 0?
-2, 1/3
Let s(i) be the first derivative of i**4/2 - 4*i**2 + 109. What is x in s(x) = 0?
-2, 0, 2
Let r(q) be the third derivative of q**8/3360 - q**6/120 + q**5/30 + 13*q**4/24 - 9*q**2. Let b(y) be the second derivative of r(y). Factor b(g).
2*(g - 1)**2*(g + 2)
Let -117/2*b**2 + 600 + 540*b + 3/2*b**3 = 0. Calculate b.
-1, 20
Let t(v) be the first derivative of 4*v**5/15 + 73*v**4/18 + 454*v**3/27 + 8*v**2/3 - 8*v - 92. Find o, given that t(o) = 0.
-6, -1/2, 1/3
Let c(p) be the first derivative of 7 + 4*p**2 - 4*p - 4/3*p**3. Solve c(z) = 0 for z.
1
Factor 2*j**2 + 20 + 94/3*j.
2*(j + 15)*(3*j + 2)/3
Let t = 49 + -45. Suppose -t*h**3 - 15*h + 45*h - 26*h = 0. Calculate h.
-1, 0, 1
Suppose 0 = -5*k - h + 8 - 0, 2*k + 4*h - 14 = 0. Let u = -18/37 - -221/74. Suppose -u*c**3 + 5/2*c - c**2 + k = 0. Calculate c.
-1, -2/5, 1
Factor 0 + 0*j + 31/3*j**3 - 10/3*j**4 - j**2.
-j**2*(j - 3)*(10*j - 1)/3
Let k(x) be the third derivative of x**6/30 + x**5/15 - 5*x**4/3 + 16*x**3/3 - 169*x**2. Find u such that k(u) = 0.
-4, 1, 2
Let g = -6 - -8. Let i be (-140)/(-6) + 4/6. Factor 1 + 15*h**g - i*h - 2 - 11.
3*(h - 2)*(5*h + 2)
Suppose -14*o + 10*o = 5*o. Factor 2/5*q**3 + o*q + 0*q**4 + 0 + 0*q**2 - 2/5*q**5.
-2*q**3*(q - 1)*(q + 1)/5
Let t(k) be the second derivative of k**6/120 - k**5/60 - k**4/24 + k**3/6 + 4*k**2 - 4*k. Let x(a) be the first derivative of t(a). Factor x(f).
(f - 1)**2*(f + 1)
Let p(g) be the first derivative of g**4/48 + g**3/12 - 11*g + 4. Let n(j) be the first derivative of p(j). Let n(u) = 0. What is u?
-2, 0
Let x(f) = -2*f**2 + f + 1. Let p(z) = 11*z**2 + 89*z - 16. Let r(k) = p(k) - 2*x(k). Factor r(u).
3*(u + 6)*(5*u - 1)
Let n(a) = -47*a**3 + 78*a**2 + 20*a - 4. Let w(z) = -565*z**3 + 935*z**2 + 240*z - 50. Let s(v) = 25*n(v) - 2*w(v). Factor s(d).
-5*d*(d - 2)*(9*d + 2)
Let s be (-76)/8 + (73 - 53). Let -15/2*z**2 + 0 + 3/2*z + s*z**3 - 9/2*z**4 = 0. What is z?
0, 1/3, 1
Let q(w) be the first derivative of -w**4/2 - 2*w**3/3 + 5*w**2 - 6*w + 184. Suppose q(v) = 0. Calculate v.
-3, 1
Let c(b) = 12*b**2 + 2*b - 24. Let r(s) = 14*s**2 + 2*s - 24. Let u(d) = -6*c(d) + 5*r(d). Factor u(z).
-2*(z - 3)*(z + 4)
Suppose -2*k + c + 1 = k, 0 = -3*k - 2*c + 16. Factor 4*u**2 - 1 + 2*u**3 - u**5 - u**4 - u + k*u**2 - 4*u**2.
-(u - 1)**2*(u + 1)**3
Suppose 14*l = 16*l - 8. Factor -12*x**l - 8*x**2 - 48*x**3 - 6*x + x - 31*x**2 - 4*x.
-3*x*(x + 3)*(2*x + 1)**2
Let b(a) = 4*a**3 + 9*a**2 + 3*a - 16. Let f(q) = -12*q**3 - 28*q**2 - 8*q + 48. Let z(y) = 8*b(y) + 3*f(y). Factor z(v).
-4*(v - 1)*(v + 2)**2
Let s(z) = 2*z**2 - 12*z + 3. Suppose -27 = -2*b + 3*x, b + 22 = 3*b - 2*x. Let k be s(b). Factor 2/7*a**4 + 2/7*a - 2/7*a**2 - 2/7*a**k + 0.
2*a*(a - 1)**2*(a + 1)/7
Let b(a) be the second derivative of a**4/24 - a**3/6 - 6*a**2 - 52*a. Let b(n) = 0. What is n?
-4, 6
Suppose 2*s - 10 = -3*t, t - 20 = s - 5*s. Let w(m) be the first derivative of -2/15*m**3 + s + 3/5*m**2 + 8/5*m. Factor w(y).
-2*(y - 4)*(y + 1)/5
Let q(u) = -2*u**2 - 25*u - 62. Let a be q(-9). Let l(v) be the first derivative of -8/11*v + 4/11*v**2 - a - 2/33*v**3. Determine z so that l(z) = 0.
2
Determine u, given that -2*u - 4*u**2 + 0 - 5/2*u**3 - 1/2*u**4 = 0.
-2, -1, 0
Let t = 280 + -1119/4. Let c(v) be the second derivative of 2*v + 1/20*v**5 - 1/60*v**6 - 1/6*v**3 + t*v**2 + 0 + 0*v**4. Factor c(z).
-(z - 1)**3*(z + 1)/2
Solve 180 - 134*y + 282*y - 128*y + 18*y**2 - 4*y**3 - y**3 - 63*y**2 = 0 for y.
-9, -2, 2
Let u(a) = 9*a**3 - 27*a**2 + 20*a + 2. Let i(w) = -w**2 - 1. Let t(n) = -2*i(n) - u(n). Factor t(v).
-v*(v - 1)*(9*v - 20)
Suppose 0 = 4*o + 3*b - 88 + 36, 3*o - 2*b = 56. Suppose -27*m + 31*m - o = 0. Suppose -2/9*w**m + 0*w - 2/9 + 0*w**3 + 4/9*w**2 = 0. Calculate w.
-1, 1
Suppose 4*y**3 - 6*y**3 - 284*y + 6*y**2 + 280*y = 0. Calculate y.
0, 1, 2
Let j(h) be the second derivative of h**4/4 + 9*h**3 + 51*h**2/2 + 19*h + 1. Factor j(o).
3*(o + 1)*(o + 17)
Let b(q) be the first derivative of 2*q**3 + 80*q**2 - 54*q - 220. Factor b(f).
2*(f + 27)*(3*f - 1)
Let k(c) be the third derivative of c**5/20 + 5*c**4 + 200*c**3 - 13*c**2 - 3*c. Suppose k(f) = 0. Calculate f.
-20
Let m(k) be the second derivative of k**8/840 - k**7/140 + k**6/60 - k**5/60 - 14*k**3/3 - 25*k. Let q(h) be the second derivative of m(h). Solve q(b) = 0.
0, 1
Let y = -16 + 8. Let n be (y/16)/(2/(-24)). Solve 2*s**4 - 5*s**4 + 9*s**3 - n*s - 9*s**3 + 6*s**3 + 3*s**2 = 0 for s.
-1, 0, 1, 2
Let -1/11*a**3 + 14/11*a + 0 - 5/11*a**2 = 0. What is a?
-7, 0, 2
Let x = -79243478/165 - -480268. Let g = x - 48/11. Factor g*h - 2/15*h**2 + 4/15.
-2*(h - 2)*(h + 1)/15
Let l(y) be the second derivative of y**7/42 + y**6/12 + y**5/12 - 7*y**2/2 - 15*y. Let m(s) be the first derivative of l(s). Factor m(k).
5*k**2*(k + 1)**2
Let g(c) be the third derivative of -c**8/2184 + 2*c**7/1365 - c**5/195 + c**4/156 - 436*c**2. Find p, given that g(p) = 0.
-1, 0, 1
Suppose 0 = 2*j - 3*g + 6, -2*g - 3*g = -3*j - 9. Let p be -3 + 7 + -3 + j/6. Let -1/4*f**2 + p - 1/4*f = 0. Calculate f.
-2, 1
Let x(j) = 2*j**2. Let n = -8 - -4. Suppose 8*g = 16 - 40. Let k(v) = -v**2 + v. Let s(c) = g*x(c) + n*k(c). Determine o so that s(o) = 0.
-2, 0
Let t(u) be the third derivative of 3/40*u**5 + 13*u**2 + 0 + 1/8*u**3 - 1/64*u**6 - 9/64*u**4 + 0*u. Factor t(d).
-3*(d - 1)**2*(5*d - 2)/8
Let g(d) be the second derivative of -d**5/10 - 10*d**4/3 - 19*d**3/3 - d + 14. Factor g(w).
-2*w*(w + 1)*(w + 19)
Let v(k) be the third derivative of -k**7/630 - k**6/60 - k**5/15 - k**4/3 - 2*k**2. Let p(w) be the second derivative of v(w). Solve p(r) = 0 for r.
-2, -1
Let s(t) = -8*t**2 - 72*t. Let r(f) = -f**2 + 3*f. Let c(u) = 6*r(u) - s(u). Factor c(k).
2*k*(k + 45)
Let u(b) be the second derivative of -2*b**6/15 - 38*b**5/5 - 397*b**4/3 - 456*b**3 - 648*b**2 - 2*b + 23. Factor u(o).
-4*(o + 1)**2*(o + 18)**2
Let -8 + 20/3*n**4 - 46/3*n + 16*n**3 - 2/3*n**5 + 4/3*n**2 = 0. What is n?
-1, 1, 12
Let f(a) = a**2 + 7*a - 8. Suppose 5*o = -8*m + 3*m - 45, -4*o = 4. Let t be f(m). Factor 0 + t*b**3 + 4/3*b - 2*b**2 + 2/3*b**4.
2*b*(b - 1)**2*(b + 2)/3
Let 52*c - 360/7*c**3 - 8/7*c**2 - 180/7 - 4/7*c**5 + 188/7*c**4 = 0. Calculate c.
-1, 1, 45
Factor -2/3*j**4 + 1/3*j**5 + 2/3*j**2 - 1/3*j**3 + 0 + 0*j.
j**2*(j - 2)*(j - 1)*(j + 1)/3
Let n(t) be the first derivative of 3*t**4/28 + 41*t**3/7 - 264*t**2/7 + 540*t/7 + 535. Factor n(i).
3*(i - 2)**2*(i + 45)/7
Let x = 157/598 + -5/46. Let v be (-37 - -42) + (-126)/26. Determine j so that -2/13*j**3 + x*j + 2/13*j**2 - v = 0.
-1, 1
Let a(o) be the third derivative of o**6/50 - 167*o**5/150 + 287*o**4/15 + 196*o**3/15 + 2*o**2 - 16. Determine n, given that a(n) = 0.
-1/6, 14
Suppose -3*v + x - 16 = -4*x, -4*v + x + 7 = 0. Let 0*h**v - 3*h + 0*h + 6*h**3 - 3*h + 3*h**4 - 3 = 0. What is h?
-1, 1
Let t(o) be the first derivative of -2/3*o**2 + 5/3*o - 1/9*o**3 - 13. Factor t(y).
-(y - 1)*(y + 5)/3
Suppose -s = -6*s - 5. Let x be -2 - s - (1 + -6). Find y, given that -2/7*y**x + 0 + 2/7*y**2 + 12/7*y**5 + 4/7*y - 16/7*y**3 = 0.
-1, -1/2, 0, 2/3, 1
Suppose 2*z + 0 = 4. Let h be 207*(-78)/(-10465) + (-6)/(-7). Factor 12/5*f**3 - 3/5*f**4 - 3/5 + h*f - 18/5*f**z.
-3*(f - 1)**4/5
Let c = -1043 + 250321/240. Let r(i) be the third derivative of 3/8*i**3 + 1/16*i**4 + c*i**5 + 0*i + 0 - 6*i**2. Suppose r(g) = 0. What is g?
-3
Let s(l) be the first derivative of -l**4/20 - 23*l**3/15 - 43*l**2/10 - 21*l/5 + 78. Determine b so that s(b) = 0.
-21, -1
Factor 15129/5*b - 206763/5 - 369/5*b**2 + 3/5*b**3.
3*(b - 41)**3/5
Let m(t) be the third derivative of 187*t**5/60 - 367*t**4/168 - t**3/21 + 582*t**2. Find o, given that m(o) = 0.
-1/187, 2/7
Let x(z) be the first derivative of 2*z**6/9 + 32*z**5/15 + 4*z**4/3 - 104*z**3/9 - 74*z**2/3 - 56*z/3 + 952. Suppose x(g) = 0. Calculate g.
-7, -1, 2
Let v(w) be the third derivative of -w**6/300 - 9*w**5/50 - 77*w**4/20 - 121*w**3/3 + 401*w**2. What is i in v(i) = 0?
-11, -5
Let z(v) be the first derivative of v**6/2 - 18*v**5/5 + 9*v**4 - 10*v**3 + 9*v**2/2 + 416. Factor z(u).
3*u*(u - 3)*(u - 1)**3
Let s be ((-260)/1040)/(1/(-2)). Suppose s*n**2 - 1/2*n + 0 = 0. What is n?
0, 1
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