- s*m**2 = 0. Calculate m.
-3, 0
Find a such that -27*a - 22*a**3 + 17*a**3 + 6*a**3 - 36 + 10*a**2 = 0.
-12, -1, 3
Let k be (-9)/(-6)*32/6. Let q = k - 5. Factor 10*d - 3 - d**q + 4 + 3*d**2 - 13*d.
-(d - 1)**3
Factor 0 - 13/4*j**3 - 1/4*j**5 - 15*j**2 - 9*j + 5/2*j**4.
-j*(j - 6)**2*(j + 1)**2/4
Let m(c) be the third derivative of 2*c**7/105 - 49*c**6/120 - 2*c**5/3 + 13*c**4/24 - 75*c**2. Determine b so that m(b) = 0.
-1, 0, 1/4, 13
Suppose 61*m = 68*m - 28. Factor p**3 - 1/2*p + 0*p**2 + 0 + 0*p**m - 1/2*p**5.
-p*(p - 1)**2*(p + 1)**2/2
Let p be (-90 + 144)*1/18. Suppose 48/5 + 24/5*s - 3/5*s**4 - 9*s**2 - 24/5*s**p = 0. Calculate s.
-4, -1, 1
Let z(d) be the second derivative of 0*d**2 + 0*d**3 - 4/231*d**7 + 0*d**4 + 0 - 12*d + 1/55*d**5 + 7/165*d**6. Factor z(g).
-2*g**3*(g - 2)*(4*g + 1)/11
Let h be 10 - (15/5 + -5). Let l(j) = j**2 + 6*j + 17. Let a be l(-2). Let -3/2 + h*z**3 + a*z + 45/2*z**2 = 0. What is z?
-1, 1/8
Let y(g) be the second derivative of 0 - 37*g - 4/3*g**2 - 1/18*g**4 - 5/9*g**3. Find v, given that y(v) = 0.
-4, -1
Factor -2/9*f**3 - 8*f + 64/9 + 8/3*f**2.
-2*(f - 8)*(f - 2)**2/9
Factor -3/4*n**2 + 0 - 99/2*n.
-3*n*(n + 66)/4
Factor 26/5*k + 24/5 + 0*k**2 - 2/5*k**3.
-2*(k - 4)*(k + 1)*(k + 3)/5
Let t(u) be the third derivative of u**7/42 + u**6/24 - 21*u**5/4 + 405*u**4/8 - 225*u**3 - 476*u**2. Find q such that t(q) = 0.
-10, 3
Let x = 7877/7 - 1125. Determine s so that 0*s + x*s**2 - 2/7 = 0.
-1, 1
Let n(k) be the first derivative of -12*k**5/5 - 49*k**4 - 64*k**3/3 - 833. Factor n(f).
-4*f**2*(f + 16)*(3*f + 1)
Let f(c) = c**4 - c**2 + c. Let l(b) = b**4 - 5*b**2 + 3*b. Let n(o) = o**2 + 9*o - 1. Let a be n(-9). Let y(r) = a*f(r) - l(r). Determine x so that y(x) = 0.
-2, 0, 1
Suppose 6*i + 34 = 8*i - 5*u, 2*u = 5*i - 22. Factor -1/2 - 1/2*o**3 + 1/2*o + 1/2*o**i.
-(o - 1)**2*(o + 1)/2
Let l be (2/6)/((-6)/54*-1). Let r(p) be the first derivative of 2/5*p**5 + 0*p - 4/3*p**4 + 4 + 8/9*p**l + 0*p**2. Factor r(q).
2*q**2*(q - 2)*(3*q - 2)/3
Find w such that -147*w + 4*w**2 + 16 - 141*w + 272*w = 0.
2
Let w(h) = -2*h**4 + 15*h**3 - 16*h**2 - 3. Let m(y) = y**3 - 1. Let b(t) = 6*m(t) - 2*w(t). Solve b(z) = 0.
0, 2, 4
Let k(g) = -2*g**2 + 558*g - 1652. Let y be k(3). Factor 4/3*c**3 + 0*c - 2/9*c**y - 2*c**2 + 0.
-2*c**2*(c - 3)**2/9
Let u = 6595/7 + -939. Let m = 124/35 - u. What is s in -m - 2/5*s**2 + 4/5*s = 0?
1
Let j(a) be the second derivative of 2*a**6/15 - 2*a**5/5 + a**4/3 + 332*a. Solve j(l) = 0 for l.
0, 1
Suppose 2*x - 8 + 0 = 0. Suppose x*k = -5*h + 3*k - 3, 12 = -2*h - 4*k. Factor -1/2*f**4 + 0*f + 1/2*f**3 + h*f**2 + 0.
-f**3*(f - 1)/2
Factor 57*k - 33*k - 16*k + 16 - 12*k**2 - 10*k**3 - 2*k**4.
-2*(k - 1)*(k + 2)**3
Let o(y) be the second derivative of y**6/10 + 12*y**5/5 - 57*y**4/4 + 2*y**3 + 114*y**2 + 277*y. Factor o(w).
3*(w - 2)**2*(w + 1)*(w + 19)
Let t(c) be the third derivative of c**8/448 - 23*c**7/28 + 529*c**6/4 - 12167*c**5 + 1399205*c**4/2 - 25745372*c**3 + 144*c**2. Find b such that t(b) = 0.
46
Let o be 2/(-51)*-6*(-4)/(-8). Let p(z) = -4*z**2 + 22*z + 12. Let l be p(6). Factor o*d**3 + 0*d + l + 0*d**4 - 2/17*d**5 + 0*d**2.
-2*d**3*(d - 1)*(d + 1)/17
Let a(v) be the third derivative of -17/110*v**5 - 1/60*v**6 - 3/22*v**4 + 1/21*v**7 + 0 + 0*v**3 + 0*v + 25/1848*v**8 + 10*v**2. What is k in a(k) = 0?
-2, -3/5, 0, 1
Let z(p) be the third derivative of -p**8/672 + 13*p**7/420 - 31*p**6/240 + 7*p**5/120 + 2*p**4/3 - 5*p**3/3 - 126*p**2. Let z(x) = 0. What is x?
-1, 1, 2, 10
Let c(f) be the first derivative of f**6/8 - f**5/5 - 7*f**4/16 + f**3/3 + f**2/2 - 58. Solve c(g) = 0.
-1, -2/3, 0, 1, 2
Let i = 30787/5 + -6185. Let w = 28 + i. Factor 18/5*n**3 + w + 14/5*n + 6*n**2.
2*(n + 1)*(3*n + 1)**2/5
Let w(m) = -286*m**2 - 7*m. Let n be w(-1). Let v = n - -281. Factor 3/2*r**v + 0*r**3 - 3/4*r - 3/2*r**4 + 0 + 3/4*r**5.
3*r*(r - 1)**3*(r + 1)/4
Suppose -5*l - y - 4*y = 560, 0 = -5*l + 4*y - 542. Let f = 113 + l. Factor 0*k + 0 + 1/3*k**f - 2/3*k**2.
k**2*(k - 2)/3
Let y(j) = -j**4 - 36*j**3 + 60*j**2 + 100*j + 5. Let h(q) = -q**4 + 1. Let f(k) = 5*h(k) - y(k). Solve f(z) = 0.
-1, 0, 5
Let h be ((-42)/(-49))/((-4)/(-14)). Suppose h*m - 2*m = -5*r - 3, 4*r = -2*m. Solve 2*g**3 + 4*g**3 - 6*g**4 - g**2 + m*g**5 - g**2 = 0 for g.
0, 1
Suppose -75*n - 58*n**3 + 13*n**3 + 5*n**4 + 74*n**3 - 5*n**2 + 46*n**3 = 0. Calculate n.
-15, -1, 0, 1
Let t be ((-650)/(-70) + -9)/((-2)/(-2)). Let h(d) be the first derivative of -2/21*d**3 + 0*d + 3 + t*d**2. Suppose h(m) = 0. What is m?
0, 2
Let u(m) be the second derivative of 22*m**7/21 - 8*m**6/3 - 81*m**5/5 + 206*m**4/3 - 184*m**3/3 - 48*m**2 - 71*m. Solve u(t) = 0 for t.
-3, -2/11, 1, 2
Let s(z) be the second derivative of 2*z**6/15 + 2*z**5/5 - 20*z**4/3 - 44*z**3 - 90*z**2 + 86*z. Factor s(d).
4*(d - 5)*(d + 1)*(d + 3)**2
Factor -9722*b + 3 - 440*b**3 + 9642*b - 465*b**2 + 840*b**4 - 245*b**5 - 3 - 15*b**2.
-5*b*(b - 2)**2*(7*b + 2)**2
Let m = -277 + 277. Let z(f) be the third derivative of -1/945*f**7 - 1/108*f**4 + m*f**3 + 3*f**2 + 1/270*f**5 + 1/540*f**6 + 0 + 0*f. Factor z(j).
-2*j*(j - 1)**2*(j + 1)/9
Let u = 14 + -11. Let l(m) be the first derivative of -m - 3*m**2 - 1 + m**3 + 6*m**2 - u + 4*m. Determine k so that l(k) = 0.
-1
Let i be (110/20 - 4)/(395/260 - 1). Solve 2/3*c + 4 - 14/9*c**3 - i*c**2 - 2/9*c**4 = 0 for c.
-3, -2, 1
Let x(l) = 9*l + 102. Let z be x(-11). Let d(a) be the first derivative of -2/21*a**z + 1/7*a**4 - 2/35*a**5 + 0*a**2 + 3 + 0*a. Let d(y) = 0. What is y?
0, 1
Let i be 11975/777 + (112/(-49) - -2). Let g = i + -17/37. Factor 4/3 + 121/3*v**2 + g*v.
(11*v + 2)**2/3
Let w(i) = i**2 + 905*i + 1806. Let q be w(-2). Factor 0*k - 1/6*k**4 + q*k**2 + 0 + 2/3*k**3.
-k**3*(k - 4)/6
Let j = -92/9 - -31/3. Let s(y) be the first derivative of 1/3*y + 1/12*y**4 - j*y**3 + 6 - 1/6*y**2. Determine q so that s(q) = 0.
-1, 1
Let m be ((-3)/(-30))/(14/(-35)) + 69/92. Factor -3/4 - m*b + 1/4*b**2.
(b - 3)*(b + 1)/4
Let t(w) be the second derivative of 2*w**5/65 - w**4/6 - 4*w**3/13 - 2*w + 57. Factor t(q).
2*q*(q - 4)*(4*q + 3)/13
Let i = -139 - -143. Factor -9*t + 0*t**3 + 11*t + 10*t**3 - 15 + 20*t**2 - 5*t**i - 12*t.
-5*(t - 3)*(t - 1)*(t + 1)**2
Suppose 0 = 3*i - 10*i - 3*p + 6, 0 = 5*i + 5*p - 10. Factor -4/11*t**2 - 6/11*t + i + 2/11*t**3.
2*t*(t - 3)*(t + 1)/11
Let o be ((-3)/2 + 2)/(((-774)/(-108))/43). Factor 0*d**2 + 0 + 0*d**4 + 0*d + 1/9*d**o - 1/9*d**5.
-d**3*(d - 1)*(d + 1)/9
Factor -4/7*j + 4/7*j**3 + 4/7*j**2 - 4/7*j**4 + 0.
-4*j*(j - 1)**2*(j + 1)/7
Let c(y) be the third derivative of -2*y**7/105 + 13*y**6/60 - 49*y**5/240 + y**4/16 - 10*y**2 + y. Let c(v) = 0. Calculate v.
0, 1/4, 6
Let w(m) = 22*m - 60. Let x be w(3). Let n(s) be the first derivative of 1/5*s**3 - x + 1/5*s - 4/25*s**5 - 1/2*s**2 + 1/4*s**4. Suppose n(h) = 0. What is h?
-1, 1/4, 1
Let c(f) be the third derivative of f**5/12 + 235*f**4/8 - 214*f**2. Factor c(m).
5*m*(m + 141)
Factor -4 + 7*r + 5*r**3 + 2*r + 14 - 14*r**3 + r**4 - 11*r**2.
(r - 10)*(r - 1)*(r + 1)**2
Find q, given that 65*q**2 + 62*q**2 + 64*q**2 - 24 - 193*q**2 - 14*q = 0.
-4, -3
Let d = -18/1823 - 110843/36460. Let u = d + 13/4. Factor u*v - 1/5*v**2 + 0.
-v*(v - 1)/5
Let c = 5951/9 + -661. Let k(b) be the first derivative of -1/3*b**2 + 1/6*b**4 + 2/27*b**3 - c*b + 1. Suppose k(a) = 0. Calculate a.
-1, -1/3, 1
Let l(j) be the first derivative of 5*j**4/4 - 115*j**3/3 + 55*j**2 + 15. Find f such that l(f) = 0.
0, 1, 22
Let l(k) be the third derivative of -k**5/20 + 37*k**4/24 - 2*k**3 - 32*k**2 - 1. Let l(c) = 0. Calculate c.
1/3, 12
Let p(q) be the first derivative of -35*q**3 - 47*q**2/2 - 2*q + 259. Solve p(l) = 0.
-2/5, -1/21
Let k(t) be the third derivative of t**8/8400 + 10*t**3/3 + 5*t**2. Let i(q) be the first derivative of k(q). Determine g so that i(g) = 0.
0
Let y be (-1 + 0)*(9 + -8) - -4. Solve -w**3 + 5*w**3 + 13*w**2 - 8*w**y - w**2 = 0.
0, 3
Let l be (-3 + 3)*(3 - 2)/(-2). Suppose l = -14*f + 3*f + 22. Find s, given that 1/4*s**f + 0 - 1/4*s**3 + 0*s = 0.
0, 1
Suppose 0 = 2*t + 2*p - 16, 4 - 1 = 3*t - 4*p. Suppose -2*v**4 + 0*v**t - 2*v**2 + 6*v**4 - 3*v**4 + 1 + 2*v**3 - v - v**5 = 0. Calculate v.
-1, 1
Let v = 471596/19 - 24820. Find l, given that -2/19*l**3 + 24/