 - 14/13*k**4 + 2/13*k**5 = 0. Calculate k.
0, 2, 3
Find p such that -10 + 23*p + 2*p - 7*p**3 + 4*p**3 + 8*p**3 - 20*p**2 = 0.
1, 2
Let w(z) = -4*z**2 - 496*z - 508. Let x(a) = 2*a**2 + 330*a + 338. Let p(b) = -5*w(b) - 8*x(b). Let p(f) = 0. What is f?
-1, 41
Let s(o) = -10*o - 7. Let c be (-34)/(-17) + (0 - (1 + 2)). Let l be s(c). Factor 0*h**l + 2*h - 1/4*h**4 + 3/2*h**2 + 3/4.
-(h - 3)*(h + 1)**3/4
Suppose -7*j = 5 - 19. Let z(k) be the second derivative of -1/12*k**3 + 0 - 1/16*k**4 - 1/80*k**5 + k + 0*k**j. What is r in z(r) = 0?
-2, -1, 0
Suppose -3*y = -6*y. Suppose -3*h + 12 + 15 = y. Factor -h*d + 15*d**4 - 7*d + 48*d**2 - 64*d**3 + 4*d + 13*d**3.
3*d*(d - 2)*(d - 1)*(5*d - 2)
Let n(z) be the first derivative of -z**4/4 + 6*z**2 + 7*z - 13. Let v(h) be the first derivative of n(h). Suppose v(a) = 0. Calculate a.
-2, 2
Let v(x) = 8*x**3 - 15*x**2 - 16*x - 18. Let l(n) = -26*n**3 + 46*n**2 + 48*n + 56. Let p(t) = -5*l(t) - 16*v(t). Factor p(o).
2*(o + 1)*(o + 2)**2
Suppose -5*p + 4*t + 41 = 0, -14*t = -12*t + 8. Let s(b) be the first derivative of -1/2*b**4 + 0*b + 8 - 2/15*b**p + 2/9*b**3 + b**2. Let s(x) = 0. What is x?
-3, -1, 0, 1
Let t(o) = -o**3 + 11*o**2 + 26*o + 4. Let h be t(13). Let l be (h/16)/(6/72). Determine v, given that 2/3*v - 2/3*v**l - 2/3*v**4 + 0 + 2/3*v**2 = 0.
-1, 0, 1
Let n(b) be the third derivative of b**5/80 - 43*b**4/24 - 29*b**3/6 - b**2 + 149. Factor n(s).
(s - 58)*(3*s + 2)/4
Let i(c) = -3*c**3 - c**2 + 16*c + 29. Let l be i(-5). Let w = l + -1193/4. Suppose -3/4*j**4 + 1/2*j**5 - 1/4*j**3 - 1/4*j + w*j**2 + 0 = 0. What is j?
-1, 0, 1/2, 1
Let u(h) be the first derivative of -2*h**5/5 - 280*h**4 - 78400*h**3 - 10976000*h**2 - 768320000*h - 114. Factor u(m).
-2*(m + 140)**4
Find p such that -16/5*p**2 - 8/5 - 4/5*p**3 - 4*p = 0.
-2, -1
Let f(c) be the second derivative of c**8/336 - c**7/84 + c**3 - 2*c. Let p(z) be the second derivative of f(z). Determine w, given that p(w) = 0.
0, 2
Let c(r) be the first derivative of 288*r**5/35 - 12*r**4/7 - 206*r**3/21 - 7*r**2/3 - 4*r/21 + 432. Find s, given that c(s) = 0.
-2/3, -1/12, 1
Let q(u) be the first derivative of -2*u**3/3 - u**2 + 12*u + 1. Let n(l) = 2*l**2 + 2*l - 12. Let h(o) = 4*n(o) + 3*q(o). Factor h(a).
2*(a - 2)*(a + 3)
Let r(m) be the second derivative of 11/15*m**3 - 1/105*m**7 + 3/25*m**5 - 3/5*m**2 - 7/15*m**4 + 1/75*m**6 + 0 - 12*m. Suppose r(l) = 0. What is l?
-3, 1
Let a = -8 + 11. Let h(u) = -8*u - 683 - 679 + 1362 + u**3 - u**2. Let s(d) = d**3 - d**2 - 7*d + 1. Let p(n) = a*h(n) - 4*s(n). Solve p(m) = 0 for m.
-2, 1, 2
Factor -63 + 38*f - 53*f**3 + 75*f**2 + 13*f**3 + 2*f - 94*f**4 - 17 + 99*f**4.
5*(f - 4)**2*(f - 1)*(f + 1)
Suppose -16*h = -30 - 50. Find w, given that 0*w + 0*w**3 + 0*w**2 - 2/3*w**h + 0 + 1/3*w**4 = 0.
0, 1/2
Let z(x) = -5*x - 8. Let s(u) = 9*u + 16. Let d(q) = 4*s(q) + 7*z(q). Let l be d(-5). Solve -6*i**2 - l*i**3 + 6*i**2 = 0 for i.
0
Suppose -3*w = -3*t - 16 + 1, -w + 7 = -2*t. Let q(b) be the first derivative of -4/21*b**w - 1 - 8/7*b + b**2 - 1/14*b**4. Determine x, given that q(x) = 0.
-4, 1
Let -4*n**2 + n**4 + 3*n**2 - 293*n + 293*n = 0. Calculate n.
-1, 0, 1
Let h = -954 - -293. Let a = 4636/7 + h. Determine j, given that 2/7 - 5/7*j**3 + 1/7*j**4 - j + a*j**2 = 0.
1, 2
Let 188/3 + 190/3*v + 2/3*v**2 = 0. Calculate v.
-94, -1
Suppose -13 = v - 5*h, 4*v - 28 = -h + 4. Factor 12*a**2 + v*a - 2 + 4 + 8*a**3 + a + 2*a**4.
2*(a + 1)**4
Suppose 4*b = 2*q + 12, -4*q - 2*b + 0 = -6. Let z = 107 - 107. Find j, given that z*j**2 - 3/4*j**5 + q + 3/2*j**3 + 0*j**4 - 3/4*j = 0.
-1, 0, 1
Let j be 3/(-12)*(-2)/1. Let -1/4*z**4 + 3/4*z**2 - z + j*z**3 - 1 = 0. What is z?
-1, 2
Factor 155*c**4 + 3080*c + 3365*c**2 + 582*c**3 + 163 + 833*c**3 + 5*c**5 + 817.
5*(c + 1)**3*(c + 14)**2
Let m(h) = 7*h**2 - 7*h - 4. Let n(d) = -d**2 + d + 1. Suppose -1 = -k - 0. Let x(z) = k*m(z) + 4*n(z). Determine v so that x(v) = 0.
0, 1
Let x = 468/11 - 1817/44. Find g, given that 1/4*g**2 - 3/2 + x*g = 0.
-6, 1
Let u be (4 - 5/2)/((-891)/(-132)). Factor -u - 2/3*m**2 + 8/9*m.
-2*(m - 1)*(3*m - 1)/9
Suppose 3*n = -3*i + 5*i + 2, 2 = i. Suppose 6 = 5*r - 4*b, n*b + 2*b = 3*r - 2. Factor -12*s**5 - 39*s**4 - 8*s**2 - 3*s - 8*s**2 - s**r - 45*s**3 - 4*s**2.
-3*s*(s + 1)**3*(4*s + 1)
Find s such that 48*s**3 - 609*s**2 + 721*s**2 - s**4 + 0*s**4 - 3*s**4 = 0.
-2, 0, 14
Let f be 559/(-52) + -11 + 23. Factor 1/4*q**2 + 1/4*q**3 - f*q + 3/4.
(q - 1)**2*(q + 3)/4
Determine c so that 10 + 25/3*c + 5/3*c**2 = 0.
-3, -2
Determine i so that 2/7*i**2 - 10/7*i + 0 = 0.
0, 5
Let n(p) be the second derivative of p**4/3 + 8*p**3/15 - 2*p**2/5 - 124*p. Factor n(h).
4*(h + 1)*(5*h - 1)/5
Factor 2/3*f**4 + 19/3*f - 13*f**3 + 6*f**2 + 0.
f*(f - 19)*(f - 1)*(2*f + 1)/3
Let c(d) be the second derivative of 11*d + 1/6*d**4 + 0*d**2 + 0*d**3 + 0. Factor c(x).
2*x**2
Let p be ((-6)/4 - 2) + 231/66. Factor 0*a**2 + 3/4*a**4 + 0*a + p - 3/2*a**3.
3*a**3*(a - 2)/4
Let w(h) = -h**2 - 5*h + 6. Let k(q) = -3*q**2 - 15*q + 18. Let v(d) = 2*k(d) - 7*w(d). Factor v(n).
(n - 1)*(n + 6)
Let r(h) be the first derivative of -7 + 20/3*h**3 + 5/4*h**4 + 10*h + 25/2*h**2. Solve r(x) = 0.
-2, -1
Determine l, given that 17*l**2 + l**4 + 17*l + 7*l**3 - 184 + 94 + 96 = 0.
-3, -2, -1
Let d = -33 - -41. Let g = d - 6. Suppose -2/3*j**g + 0 + 0*j + 2*j**4 + 4/3*j**3 = 0. What is j?
-1, 0, 1/3
Let t(d) be the third derivative of d**8/1512 - 2*d**7/189 + d**6/36 + d**5/27 - 4*d**4/27 - 261*d**2. Solve t(o) = 0 for o.
-1, 0, 1, 2, 8
Let g(b) = -5*b**2 + 8*b + 1. Let f(x) = 4*x**2 - 7*x. Let i(o) = o + 17. Let r be i(-21). Let y(a) = r*f(a) - 3*g(a). Factor y(s).
-(s - 3)*(s - 1)
Suppose 0 = -2*p - p + 3, 5*v + 3*p = 13. Find x such that 0*x - 1/3 + 1/3*x**v = 0.
-1, 1
Let d(u) be the first derivative of 3*u**5/5 - 15*u**4 + 118*u**3 - 270*u**2 + 243*u - 20. Determine o so that d(o) = 0.
1, 9
Suppose 0 = 4*h + 93 - 33. Let w = h - -19. Factor 2*n**3 - 5*n**w + 5*n**3 + n**3 - 4*n**2 + n**5 + 0*n**3.
n**2*(n - 2)**2*(n - 1)
Let r(h) = 5*h**2 - 75. Let o(k) = 2. Let j(c) = -25*o(c) + r(c). Factor j(g).
5*(g - 5)*(g + 5)
Let k(i) = -11*i**4 + 8*i**3 - 98*i**2 - 176*i - 83. Let z(j) = -9*j**4 + 7*j**3 - 97*j**2 - 174*j - 82. Let b(y) = -7*k(y) + 8*z(y). Factor b(n).
5*(n - 5)*(n + 1)**2*(n + 3)
Let q(z) be the second derivative of -z**4/8 + 83*z**3/4 + 63*z**2 + 173*z. Factor q(u).
-3*(u - 84)*(u + 1)/2
Let a(h) be the third derivative of -5*h**8/84 + h**7/6 + 3*h**6/4 - h**5/3 - 35*h**4/12 - 5*h**3/2 + 114*h**2. Let a(f) = 0. Calculate f.
-1, -1/4, 1, 3
Suppose -3*c + 4*k = -14, -4*c + 4*k + 18 = c. Suppose -r + s = -4, -6*r + c*r + 16 = s. Find i such that -r*i - 4*i - 3*i**2 - i**2 + 2*i**2 - 8 = 0.
-2
Suppose -a + 66 - 135 = -73. Factor -18/7*l**3 - 8/7*l**a - 16/7*l**2 - 5/7*l - 1/7*l**5 + 0.
-l*(l + 1)**3*(l + 5)/7
Let v(g) = -2*g**2 + 59*g + 95. Let u be v(31). Let k(a) be the first derivative of -1/4*a**4 + 0*a + 1/8*a**u + 6 + 1/4*a**3. Determine f, given that k(f) = 0.
-1/4, 0, 1
Let x(i) = i**3 - 2*i**2 + 4*i - 4. Let c be x(2). Suppose 0 + 16*y**4 - c*y**5 - 12*y + 0 + 8*y**3 - 48*y**2 - 24*y = 0. Calculate y.
-1, 0, 3
Let s = 433/6 - 425/6. Factor s*b**2 - 4/3 - 2/3*b + 2/3*b**3.
2*(b - 1)*(b + 1)*(b + 2)/3
Let z = -45 + 90. Let y be z/20*(0 - 3/(-9)). Factor -y + 1/2*i**4 - 11/4*i - 1/4*i**3 - 11/4*i**2.
(i - 3)*(i + 1)**2*(2*i + 1)/4
Let z be 3/(-18)*-2*(12 - 0). Let a(u) be the first derivative of -u**2 + 0*u - 3*u**z + 5 - 8/5*u**5 - 1/3*u**6 - 8/3*u**3. Suppose a(l) = 0. Calculate l.
-1, 0
Suppose 0 = -14*u + 5*u + 495. Suppose 0 = -51*b + u*b. Factor 5/2*s**2 + b + 7/2*s**3 - s.
s*(s + 1)*(7*s - 2)/2
Let m(v) be the third derivative of 0*v + 0*v**3 + 1/48*v**4 + 0*v**5 + 0 - 1/240*v**6 - 2*v**2. Suppose m(r) = 0. Calculate r.
-1, 0, 1
Suppose 16 = z + 1. Factor 6 - 16 + 33*t**2 - z*t + 3 - 20*t**3 + 9.
-(t - 1)*(4*t - 1)*(5*t - 2)
Let r = 324/41 + -890/123. Let v = -2/73 - -152/219. Factor -r*i - 1/6 - v*i**3 - 1/6*i**4 - i**2.
-(i + 1)**4/6
Find m such that -4*m + 32*m**2 + 870*m**3 - 1691*m**3 + 857*m**3 = 0.
-1, 0, 1/9
Let v = 4825 - 53073/11. Determine o, given that -v*o + 4/11 - 2/11*o**2 = 0.
-2, 1
Let r = 281 - 253. Let m be 8/r*(-2)/(-6). Determine c, given that m*c