(b - 1)*(5*b + 1)*(5*b + 2)
Let f be ((-6)/10 + 12/10)/(117/325). Determine q so that -1 - f*q**2 - 7/3*q - 1/3*q**3 = 0.
-3, -1
Suppose -3*q = -3*f, 25*q + 3*f = 24*q + 12. Factor -9/2*r + 3/2*r**2 + q.
3*(r - 2)*(r - 1)/2
Let c(o) = o**3 - 64*o**2 + 182*o + 64. Let v be c(61). Determine m, given that -18/17*m + 18/17 - 2/17*m**2 + 2/17*m**v = 0.
-3, 1, 3
Let n(d) be the second derivative of -6/5*d**5 + 8/3*d**4 + 4*d**3 - 18*d**2 + 8*d + 2/15*d**6 + 0. Factor n(c).
4*(c - 3)**2*(c - 1)*(c + 1)
Suppose -20*t + 5 = -75. Let c(q) be the first derivative of 4/5*q**5 + 0*q + q**t + 0*q**3 + 10 + 0*q**2. Suppose c(s) = 0. Calculate s.
-1, 0
Let i be (8*6/24)/(1/2). Suppose 24*y**3 + 106*y - 54*y**2 - 8*y**i + 5*y**4 - 15 - 58*y = 0. Calculate y.
1, 5
Let n(s) be the second derivative of 2*s**7/147 - 2*s**6/35 + 3*s**5/35 - s**4/21 + s + 179. Determine c, given that n(c) = 0.
0, 1
Let u(v) be the first derivative of -v**4/6 + 16*v**3/9 - 5*v**2/3 - 28*v/3 + 89. Find x, given that u(x) = 0.
-1, 2, 7
Let x(d) = 4*d + 3. Let i be x(5). Suppose 3*c - i = -14. Solve -1/5 - 1/5*p**c + 1/5*p**2 + 1/5*p = 0.
-1, 1
Let z be ((-78)/9)/(10/(-15)). Let i = 13 - z. Suppose -3*p**3 + p**4 + 4*p**2 - 3*p**2 + 5*p**3 + i*p**3 = 0. What is p?
-1, 0
Let d(w) = -4*w**2 + 5*w - 3. Let z(a) = -5*a - 12*a + 9*a**2 + 6*a + 7. Let t(l) = -14*d(l) - 6*z(l). Determine r so that t(r) = 0.
0, 2
Let d(c) be the second derivative of 2*c - 1/114*c**4 + 0*c**3 - 1/285*c**6 + 0*c**2 - 1/95*c**5 + 0. Factor d(x).
-2*x**2*(x + 1)**2/19
Let -16*a + 14*a - 16*a - 16 - 32*a - 15*a - 4*a**2 = 0. What is a?
-16, -1/4
Let s be (-12)/(-5 + -7)*2. Factor 0 + x**s + 2/3*x + 1/3*x**3.
x*(x + 1)*(x + 2)/3
Let j = -6448 - -32582/5. Let b = j - 68. Determine v, given that -b*v + 4/5*v**3 + 0 + 2/5*v**2 = 0.
-1, 0, 1/2
Let c = -765 + 42077/55. Let b(s) be the second derivative of -1/165*s**6 + c*s**5 + 10*s - 4/33*s**3 - 1/22*s**4 + 0 + 4/11*s**2. Find h such that b(h) = 0.
-1, 1, 2
Determine l so that -190/7*l + 50 - 2/7*l**3 + 34/7*l**2 = 0.
5, 7
Let c(h) = -h + 17. Let x(a) = 2*a - 16. Let g(f) = -4*c(f) - 3*x(f). Let b be g(-11). Let 0*l + 0 - 2/5*l**b = 0. What is l?
0
Let m(d) be the third derivative of -1/150*d**5 - 1/75*d**7 + 0*d**3 + 0*d**4 + 1/280*d**8 + 0*d + 1/60*d**6 + 0 + 12*d**2. Find u, given that m(u) = 0.
0, 1/3, 1
Let a(g) be the first derivative of 2*g**6/3 + 168*g**5/25 + 126*g**4/5 + 656*g**3/15 + 186*g**2/5 + 72*g/5 - 101. Solve a(z) = 0 for z.
-3, -1, -2/5
Suppose -c - 15 = -3*g, -c + 2*g + 6 = 16. Suppose 0 = -c*v - v - 5*u + 8, 0 = 3*v + u - 10. Determine x, given that -9 + v + x + 8*x - 3*x**2 = 0.
1, 2
Let z(u) be the second derivative of 1/45*u**6 + 1/9*u**3 - 35*u + 0 - 1/45*u**5 - 1/189*u**7 - 1/27*u**4 - 1/9*u**2. Let z(a) = 0. Calculate a.
-1, 1
Let t(g) = 3*g**3 - 10*g**2 - 56*g - 38. Let s(q) = q**3 + 2*q**2 + 2. Let h(a) = 5*s(a) - t(a). Determine f so that h(f) = 0.
-6, -2
Let t = 11/10 - 3/10. Suppose -f + 2*b = 3*b, -2*f + b = -9. Solve t + 8/5*m**2 + 2/5*m**f + 2*m = 0 for m.
-2, -1
Let i(v) be the first derivative of 4*v**3/21 - 16*v**2/7 - 80*v/7 + 81. Suppose i(m) = 0. Calculate m.
-2, 10
Suppose 2*r = -2*j + 40, 2*r = -j - 3*j + 36. Suppose -4*t = -5*h + r, -2*h + 5*h + 6 = -4*t. Factor -2*x + x + 2*x**3 - x - 4 + 2 + h*x**2.
2*(x - 1)*(x + 1)**2
Factor -16*t + 8*t - 4*t**2 + 15*t + 11*t + 2*t**2.
-2*t*(t - 9)
Let f = -57829/4 + 14459. Let -1/2*w**2 - 1/4*w**3 + f*w - 1 = 0. Calculate w.
-4, 1
Let v(x) be the first derivative of -3 - 23*x - 4*x**2 + 8/3*x**3. Let u(i) = 4*i**2 - 4*i - 12. Let t(l) = -7*u(l) + 4*v(l). Determine w so that t(w) = 0.
-1, 2
Let g(a) = -7*a**2 - 10*a - 7. Let z(w) = 190*w**2 + 270*w + 190. Suppose -24 + 16 = -4*i. Let l(k) = i*z(k) + 55*g(k). Suppose l(u) = 0. Calculate u.
-1
Suppose -2*f + 73 = -47. Let r = f - 179/3. What is i in -r*i**3 - 2/3*i + 0 - i**2 = 0?
-2, -1, 0
Let 218/5*d - 242/5*d**3 + 1166/5*d**2 + 2 = 0. Calculate d.
-1/11, 5
Let p be 836/(-2508)*(2 + 1 + 6/(-2)). Factor p*q + 6/5*q**3 + 4/5*q**4 + 0 + 0*q**2.
2*q**3*(2*q + 3)/5
Let b = -13 - -20. Determine v so that 3*v**2 + 0*v**2 - 5*v**2 + b - 5 = 0.
-1, 1
Let d be 18*9/(-18)*(-2)/2. What is i in 3/4*i**5 + d*i**2 + 39/4*i**3 + 9/2*i**4 + 3*i + 0 = 0?
-2, -1, 0
Let g be 11/3 - (-2)/(-3). Factor 2*z**3 - 10 + 15*z**2 + 3*z**g + 4*z - 5*z**4 + 2*z - 11*z.
-5*(z - 2)*(z - 1)*(z + 1)**2
Let n(f) be the first derivative of -f**3 + 42*f**2 - 588*f - 42. What is v in n(v) = 0?
14
Let h = 12 - 82. Let g be (1 - (-55)/h)/((-4)/(-14)). Factor -1/4*q**2 - g*q + 0.
-q*(q + 3)/4
Let o = 11 - 0. Let b = o + -9. Factor 0*x**2 - x**5 + 4*x**5 + 8*x**4 + x**2 + 7*x**3 + x**b.
x**2*(x + 1)**2*(3*x + 2)
Let h(q) be the first derivative of -2*q**3/15 + 16*q**2/5 - 128*q/5 + 15. Solve h(g) = 0 for g.
8
Suppose a - 59 = -5*g - 50, 2*a - 6 = -4*g. What is q in 4/5*q + 0 - 6/5*q**3 - 2/5*q**4 + 2/5*q**5 + 2/5*q**g = 0?
-1, 0, 1, 2
Let i be 4*(-3 - -4) + -2. Find t such that i*t**5 - 1 - 4*t**3 - 17*t**2 - 1 + 4*t**4 + t**2 - 14*t - 2 = 0.
-1, 2
Let v(c) be the third derivative of -1/2*c**4 + 0*c + 0 + 3/40*c**6 + 2*c**3 - 1/4*c**5 + 13*c**2. Factor v(d).
3*(d - 2)*(d + 1)*(3*d - 2)
Determine j so that 5*j**4 + 3 + 2*j**5 + 4 + 5 + 14*j - 16*j**3 - 4 - 13*j**2 = 0.
-4, -1, -1/2, 1, 2
Factor -12 - 3*o**3 - o**3 - 20*o**2 - 47*o + 19*o.
-4*(o + 1)**2*(o + 3)
Let j(f) be the second derivative of f**5/6 + f**4/6 + f**3/15 + 11*f**2/2 + 24*f. Let g(p) be the first derivative of j(p). Determine z, given that g(z) = 0.
-1/5
Find h, given that 0*h + 0*h**3 + 2/3 + 1/6*h**4 - 5/6*h**2 = 0.
-2, -1, 1, 2
Suppose -3*t**2 - 668*t**3 + 662*t**3 + 0*t**2 - 3*t**4 = 0. Calculate t.
-1, 0
Let o(t) be the second derivative of -t**5/50 - 17*t**4/15 - 209*t**3/15 + 1444*t**2/5 - 491*t. Solve o(k) = 0.
-19, 4
Suppose -2*m + 40 = -7*m. Let z be 62/m + (-33)/(-44). Let j(h) = -6*h**2. Let u(x) = 5*x**2. Let y(s) = z*u(s) - 6*j(s). Factor y(v).
v**2
Factor -46 - 116 - 2*o**4 - 1862*o**2 + 1898*o**2.
-2*(o - 3)**2*(o + 3)**2
Let i(y) = -y - 2. Let k be i(-2). Let p be k + 0 - (0 - 2). Determine a so that -8*a**2 - 153*a**3 + 6 - 3*a + 393*a**3 - 12*a - 88*a**p = 0.
-1/4, 1/4, 2/5
Let l be 832/256 - 4*9/12. Factor -6*o - l*o**3 - 11/4*o**2 + 9.
-(o - 1)*(o + 6)**2/4
Suppose -l - 8 = 6*h - h, 5*h + 4 = -3*l. Let b be 1/(((-3)/h)/3). Factor -1/3 - 16/3*d**b - 8/3*d.
-(4*d + 1)**2/3
Let z(h) be the first derivative of 25/3*h**3 + 10 + 0*h + 5*h**2 - 15/4*h**4. Factor z(v).
-5*v*(v - 2)*(3*v + 1)
Let u(t) = 2*t**3 - t**2 - t. Let p(s) = -25*s**3 - 65*s**2 - 230*s - 220. Let f(b) = -p(b) - 10*u(b). Factor f(r).
5*(r + 2)**2*(r + 11)
Let u(r) = 6*r**3 - 24*r**2 - 9*r. Suppose 4*j - 30 = -3*l, -l = 1 + 1. Let b(m) = -m**3 + m**2 + m. Let g(d) = j*b(d) + u(d). Factor g(z).
-3*z**2*(z + 5)
Let g(n) = 14*n**2 + 60*n - 106. Let o(b) = -4*b**2 - 20*b + 35. Let u(x) = 6*g(x) + 20*o(x). Solve u(d) = 0.
2, 8
Let z = 329 + -325. Let j(g) be the third derivative of 0*g**3 + 0 - 1/24*g**z + 1/120*g**5 + 0*g - 10*g**2. Factor j(t).
t*(t - 2)/2
Let b(j) be the second derivative of j**4/6 - 10*j**3/3 - 248*j. Let b(w) = 0. What is w?
0, 10
Suppose -3/2*l**2 + 0 + 1/2*l**3 - 2*l = 0. Calculate l.
-1, 0, 4
Let j = -574/3 + 192. Let d(o) be the second derivative of -1/5*o**5 + 8/3*o**3 + 0 + 2*o - 16*o**2 + j*o**4. Factor d(k).
-4*(k - 2)**2*(k + 2)
Let f be -80 - -80 - (2 - 4). Factor 18/5*q**f + 4/5 + 22/5*q.
2*(q + 1)*(9*q + 2)/5
Let c(z) be the second derivative of 0*z**2 + 4*z + 2*z**3 + 0 - 1/3*z**4. Determine r, given that c(r) = 0.
0, 3
Let g = 28 + -25. Let c be (-660)/(-50) - (3 - g). Factor 3/5 + 84/5*t**3 + 12/5*t**5 + 51/5*t**4 + 24/5*t + c*t**2.
3*(t + 1)**4*(4*t + 1)/5
Let l = 25 - 21. Suppose -l*a = -0*a + 5*n - 17, 4*a - 3*n = 9. Factor 18*k**4 + 3*k**4 - 6*k**3 + a*k + 3*k + k**2 - 22*k**2.
3*k*(k - 1)*(k + 1)*(7*k - 2)
Determine k so that -4/3*k**2 - 2352 + 112*k = 0.
42
Let m(p) be the second derivative of p**5/30 + 8*p**4/9 + 5*p**3 - 54*p**2 - 42*p. Factor m(q).
2*(q - 2)*(q + 9)**2/3
Let i be (-2)/6 + 4/((-48)/(-9076)). Determine a, given that 1440*a**3 + 64*a + 0 + i*a**5 + 249*a**2 + 1728*a**4 + 263*a**2 + 0 = 0.
-2/3, -2/7, 0
Factor -152*b**2 + 114*b - 20*b + 224*b**2 - 123*b**2 + 3*b**3 + 32*b.
3*