 u**6/420 + 11*u**5/210 - u**4/7 + 4*u**3/21 - u**2 - 4*u. Solve x(r) = 0 for r.
-2, 1, 2
Suppose -2*m - 312 = -4*t + 2*m, m = -4. Let w = t - 68. Factor w*h**2 + 4*h + 2/3 + 8/3*h**3.
2*(h + 1)**2*(4*h + 1)/3
Let r be 6/(-2)*15*14/(-35). Let v be (6/14)/3 + r/63. Suppose 3/7*m**3 + 0 + v*m**5 - 9/7*m**4 + 9/7*m**2 - 6/7*m = 0. What is m?
-1, 0, 1, 2
What is o in 82*o**3 - 2*o**4 + 170*o**2 + 1322 - 1322 + 86*o = 0?
-1, 0, 43
Let y be 0/2 + (2 - -1). Let g(x) be the second derivative of x + 0 + 0*x**5 + 0*x**y + 1/15*x**6 - 1/6*x**4 + 0*x**2. Determine o so that g(o) = 0.
-1, 0, 1
Let d be (-2216)/(-7) + (9 - 9). Let o = d - 316. Let 0 - 2/7*k + o*k**2 - 2/7*k**3 = 0. Calculate k.
0, 1
Let c(i) be the third derivative of -i**8/4200 - i**7/1050 - i**6/900 + i**3/3 - 8*i**2. Let w(a) be the first derivative of c(a). Let w(z) = 0. Calculate z.
-1, 0
Let y(u) = u**5 + u**4 - 3*u**2 - u. Let q(r) = -5*r**5 + 9*r**4 - 16*r**3 + 5*r**2 + 21*r - 8. Let x(z) = -q(z) - 3*y(z). Let x(p) = 0. What is p?
-1, 1, 4
Let z(p) be the third derivative of -p**6/135 + p**5/30 + p**4/9 + 3*p**3/2 - 17*p**2. Let t(f) be the first derivative of z(f). Determine g so that t(g) = 0.
-1/2, 2
Suppose 0 = -10*z - 184 + 224. Let f(s) be the second derivative of 1/70*s**5 + 0*s**2 - 11*s + 0 + 0*s**z - 1/21*s**3. Solve f(a) = 0 for a.
-1, 0, 1
Suppose j = 3 - 5, 0 = 2*s + j - 4. Factor d**2 + s*d**3 - 6*d + 5*d + d**2.
d*(d + 1)*(3*d - 1)
Let z(g) be the first derivative of g**6/3 - 22*g**5/5 + 19*g**4/2 - 6*g**3 + 83. Factor z(w).
2*w**2*(w - 9)*(w - 1)**2
Let h(b) be the first derivative of -22 + 3/8*b**2 - 3/16*b**4 + 7/12*b**3 - 1/4*b**5 - 1/2*b. Determine p so that h(p) = 0.
-1, 2/5, 1
Let -5*a**2 - 72*a + 272*a - 63*a - 95*a + 60 + 5*a**3 - 82*a = 0. What is a?
-3, 2
Let p(x) = x**3 + 5*x**2 + 4. Let a be p(-5). Let b be 0 - (-1 - a - -3). Factor -4*t + 0*t + b*t**2 + 2*t**2 + 2*t - 2*t**3.
-2*t*(t - 1)**2
Let c(s) = -s**2 + s. Let d(u) = 2*u**2 - 2*u. Suppose -5*b - 12 = -3*b. Suppose t - 3*m = -26, -3*m = -3 - 9. Let n(p) = b*d(p) + t*c(p). Factor n(a).
2*a*(a - 1)
Let j = 97/206 - -3/103. Suppose -i - 4 = 3*x, -8 = -5*i + 3*x + 26. Find b such that 0 - 1/2*b**i + 1/2*b**2 - 1/2*b**4 + j*b**3 + 0*b = 0.
-1, 0, 1
Let w(j) be the second derivative of 3*j**5/10 - j**4/4 - j**3 + 3*j**2/2 + 134*j. Factor w(r).
3*(r - 1)*(r + 1)*(2*r - 1)
Let b(r) = -r**4 + r**3 - 10*r**2 - r - 1. Let x(z) = -3*z**4 - 3*z**3 - 22*z**2 + 18*z + 22. Let d(j) = 2*b(j) - x(j). Factor d(p).
(p - 2)*(p + 2)**2*(p + 3)
Let z(q) = q**3 + 2*q**2 + 2*q. Let t(d) = -12*d**3 + 96*d**2 - 224*d. Let m(j) = -t(j) - 8*z(j). Factor m(k).
4*k*(k - 26)*(k - 2)
Let u(t) be the first derivative of -11 - 16*t - 268/3*t**3 - 14/3*t**6 - 56*t**2 - 73*t**4 - 148/5*t**5. Determine w so that u(w) = 0.
-2, -1, -2/7
Suppose -v - 4*v = -3*a + 2, -2*v = -3*a + 8. Suppose -v + 1 = 4*x - 3*w, w - 7 = -2*x. Factor 1/2*d - 1/4 - 1/4*d**x.
-(d - 1)**2/4
Let r be (-31)/(-39) - (-87)/(-261). Determine z so that 2/13*z - 2/13*z**3 + 4/13 - r*z**2 + 2/13*z**4 = 0.
-1, 1, 2
Let n be (-611737)/(-1001) + 4 + 4/22. Let q = n + -615. Factor 0*r**2 - 2/13*r**5 - 2/13*r + 0 + 0*r**4 + q*r**3.
-2*r*(r - 1)**2*(r + 1)**2/13
Let y be (-4)/18 - (-611)/117. Factor 0*v + 0*v**2 - 1/5*v**y - 2/5*v**3 + 0 - 3/5*v**4.
-v**3*(v + 1)*(v + 2)/5
Let p be 4/(-1)*(-1)/6. Suppose -14*a = -31*a + 18*a. Find h such that p*h**4 + a*h**2 - 2/3 + 4/3*h - 4/3*h**3 = 0.
-1, 1
Suppose -r + 0*r - 14 = t, 3*r = -t - 14. Let p be -4*((-1)/t)/(-1). Factor -2/7*d**2 - 4/7*d - p.
-2*(d + 1)**2/7
Let h = 35020 - 35015. Let -14/3*l**h + 10/3*l**4 - 16/3*l + 20*l**3 + 0 - 40/3*l**2 = 0. What is l?
-2, -2/7, 0, 1, 2
Let 27*w**2 - 74*w + 11*w**3 + 13*w**3 + 44*w - 15*w**4 - 12 + 6*w = 0. What is w?
-1, -2/5, 1, 2
Let d be -3 - 106*(-2)/52. Let y = d + -15/26. Factor -y*j**2 + 11/4*j - 11/4*j**3 + 1/2.
-(j - 1)*(j + 1)*(11*j + 2)/4
Suppose 5*z + 8 = 2*o, 20 = -8*o - 4*z + 52. Let x(d) be the first derivative of 3/2*d**3 + 1/10*d**5 - 7/4*d**2 - o - 5/8*d**4 + d. Factor x(r).
(r - 2)*(r - 1)**3/2
Let q(g) be the third derivative of -g**8/5040 + g**7/252 - g**6/45 - 17*g**5/60 + 14*g**2. Let f(k) be the third derivative of q(k). Let f(b) = 0. Calculate b.
1, 4
Let p(s) = 3*s**2 + 2*s - 3. Let a be p(2). Factor -15*o**5 + a*o**5 - o + 3*o + o**2 + 4*o**4 - 5*o**2.
-2*o*(o - 1)**3*(o + 1)
Let k be (2 + 5/4 + -3)*8. Let b be ((-6)/(-5))/((-4)/(-10)). Factor -o**2 - 3*o**4 + 2*o**4 - 4*o**3 + k*o**b.
-o**2*(o + 1)**2
Let t(q) be the second derivative of -2/3*q**2 + 1/12*q**4 + 1/30*q**5 - 2/9*q**3 - 1/90*q**6 + 0 + 13*q. Factor t(x).
-(x - 2)**2*(x + 1)**2/3
Factor -19/4*c - 1/4*c**2 + 33/2.
-(c - 3)*(c + 22)/4
Let g(h) = -h**3 - h**2 - 3*h - 3. Let a be g(-2). Let t(w) = 3*w**2 - 14*w + 2. Let s(c) = 2*c**2 - 13*c + 2. Let l(p) = a*s(p) - 6*t(p). Factor l(r).
-(r + 2)*(4*r - 1)
Let d(q) = q**4 + 64*q**3 - 65*q**2 - 6*q. Let r(b) = 8*b**4 + 448*b**3 - 456*b**2 - 44*b. Let c(z) = -44*d(z) + 6*r(z). Solve c(f) = 0 for f.
0, 1, 31
Let p(x) = 3*x + 70. Suppose -2*z = 3*j - z + 69, -5*z - 15 = 0. Let a be p(j). Factor 2/5*k**a + 0 + 0*k - 2/5*k**2 + 2/5*k**3 - 2/5*k**5.
-2*k**2*(k - 1)**2*(k + 1)/5
Let a(z) be the first derivative of 3*z**5/35 + 15*z**4/28 + 3*z**3/7 - 27*z**2/14 - 14. Factor a(b).
3*b*(b - 1)*(b + 3)**2/7
Solve -16/5*t**2 + 2/5*t**3 - 22/5*t + 36/5 = 0 for t.
-2, 1, 9
Let q(a) = 10*a**3 - 17*a**2 - 13*a + 8. Let b(j) = -3*j + 2*j - 329 + 3*j**2 - 2*j**2 + 330. Let n(w) = 2*b(w) + q(w). Determine t, given that n(t) = 0.
-1, 1/2, 2
Let i(v) be the second derivative of 25*v**7/21 - 4*v**6/3 - 48*v**5/5 + 40*v**4/3 - 16*v**3/3 - 82*v. Find o, given that i(o) = 0.
-2, 0, 2/5, 2
Let m(z) be the first derivative of z**4/4 + 17*z**3/9 + 14*z**2/3 + 4*z + 57. Factor m(p).
(p + 2)*(p + 3)*(3*p + 2)/3
Let b = -2 - -2. Factor 6*a**5 - a**3 - 4*a**4 - a**3 + b*a**3.
2*a**3*(a - 1)*(3*a + 1)
Suppose 32 = -4*x - 2*p + 110, 0 = 4*x + 4*p - 68. Let h = 24 - x. Solve -2*b**4 + 7*b**h - 5 + b**2 + 3 - 4*b**2 = 0 for b.
-1, 1
Factor -6/7*h**3 - 144/7*h - 54/7*h**2 - 120/7.
-6*(h + 2)**2*(h + 5)/7
Let x(i) be the third derivative of -7*i**6/600 - i**5/50 + 11*i**3/6 + 36*i**2. Let y(a) be the first derivative of x(a). Factor y(o).
-3*o*(7*o + 4)/5
Let a(d) be the third derivative of -d**7/540 + d**6/180 - d**5/270 + 13*d**3/6 - 35*d**2. Let k(m) be the first derivative of a(m). Let k(z) = 0. Calculate z.
0, 2/7, 1
Find i such that -2/9*i - 4/9*i**2 + 0 = 0.
-1/2, 0
Let t(u) be the third derivative of -u**8/48 + u**7/70 + 7*u**6/24 - u**5/4 - 7*u**4/6 + 2*u**3 - 4*u**2 + 28*u. Suppose t(v) = 0. Calculate v.
-2, -1, 3/7, 1, 2
Let a(p) be the second derivative of 0*p**2 + 7/6*p**6 + 10/21*p**7 + 0*p**3 + 1/2*p**5 + 15*p - 5/12*p**4 + 0. Factor a(q).
5*q**2*(q + 1)**2*(4*q - 1)
Suppose -14/5*g**2 - 56/15*g + 212/15*g**3 - 24/5*g**5 - 34/15*g**4 - 8/15 = 0. Calculate g.
-2, -1/4, -2/9, 1
Let 24*j + 6 - 9*j + 12*j**2 + 3*j**3 - 6 + 6 = 0. What is j?
-2, -1
Let n be ((-60)/8)/((-3)/2). Factor 26 - 105*z + 24*z**2 + 4*z**3 + 3 - n + 149*z.
4*(z + 1)*(z + 2)*(z + 3)
Let y be 4554/2990 - 36/39. Let y*s**3 - 3/5*s + 3/5*s**4 - 9/5*s**2 + 6/5 = 0. Calculate s.
-2, -1, 1
Let g be (-5)/2 - -5 - 2. Let p(y) be the first derivative of 0*y**2 + 0*y + g*y**4 - 5 + 1/5*y**5 + 0*y**3 - 1/6*y**6. Factor p(q).
-q**3*(q - 2)*(q + 1)
Let x(a) = a**3 - 11*a**2 + 3*a + 7. Let b be x(11). Suppose -2*w - 4 + 2 = n, -3*w - 3*n - 6 = 0. Suppose -3 - b*t**2 + 0 + 43*t**2 + w = 0. What is t?
-1, 1
Let l(d) be the second derivative of d**6/225 - 3*d**5/50 + d**4/6 - 7*d**3/45 - 25*d - 1. Factor l(y).
2*y*(y - 7)*(y - 1)**2/15
Let c(t) be the third derivative of -t**6/40 - 171*t**5/10 - 9747*t**4/2 - 740772*t**3 + 97*t**2. Factor c(f).
-3*(f + 114)**3
Suppose 0 = -2*o + 14 - 12. Let v(s) = -s**5 - 6*s**4 - 14*s**3 - 8*s**2 - 2*s - 2. Let k(z) = z**3 + z + 1. Let p(r) = o*v(r) + 2*k(r). Factor p(u).
-u**2*(u + 2)**3
Let n(f) be the first derivative of -3*f**4/4 + 2*f**3 - 3*f**2/2 + 43. Factor n(d).
-3*d*(d - 1)**2
Let k(q) be the first derivative of -2*q**3/3 - 146*q**2 - 10658*q + 138. Factor k(f).
-2*(f + 73)**2
Let w(d) = d + 22. Let p be w(-19). Let v(h) be the second derivative of 0 + 3/8*h**4 + h**2 - 5/3*