).
-2*(g - 1)**2*(g + 1)
Let d(f) be the first derivative of -f**6/180 + f**5/30 - 4*f**3/9 - f**2 - 35. Let r(l) be the second derivative of d(l). Factor r(b).
-2*(b - 2)**2*(b + 1)/3
Suppose -16*h = -8 - 56. Suppose 6*o = h*o. Suppose o*b + 0*b**2 + 2/11*b**4 + 0 + 0*b**3 = 0. Calculate b.
0
Let y(f) = 13*f**4 - 1 + 7*f - 6 + 14*f**3 - f**3. Let q(b) = 4*b**4 + 4*b**3 + 2*b - 2. Let w(j) = 14*q(j) - 4*y(j). Determine i so that w(i) = 0.
-1, 0
Let h(b) be the first derivative of -3*b + 13 - 9/4*b**2 - 1/2*b**3. What is l in h(l) = 0?
-2, -1
Suppose -3/7*n**2 + 0 + 57/7*n = 0. Calculate n.
0, 19
Suppose 0 + 2/7*s**5 - 64/7*s**2 + 128/7*s + 8/7*s**4 - 24/7*s**3 = 0. Calculate s.
-4, 0, 2
Factor -2*x**4 - 4*x + 99*x**2 + 98*x**2 - 295*x**2 - 8*x**3 + 88*x**2.
-2*x*(x + 1)**2*(x + 2)
Suppose 0 = 4*f - 20 + 8. Let q = f + -1. Suppose -4 + 0*c**2 + 3*c + 6 - 3*c**q + 4*c**2 = 0. What is c?
-2, -1
Factor -5*b**2 + 1234*b - 49 - 1274*b - 26.
-5*(b + 3)*(b + 5)
Find z, given that 3 - 17/2*z**2 + 31/2*z = 0.
-3/17, 2
Let x(i) be the third derivative of i**8/1680 + i**7/210 + i**6/90 + i**4 + 25*i**2. Let u(b) be the second derivative of x(b). Factor u(a).
4*a*(a + 1)*(a + 2)
Let p(o) be the second derivative of 11*o - 5/42*o**7 + 0*o**4 - 1/3*o**6 + 0*o**3 - 1/4*o**5 + 0 + 0*o**2. Find l such that p(l) = 0.
-1, 0
Let h = 113 + -110. Determine i, given that 42*i**2 + 8*i**2 + 379*i - 374*i + 100*i**4 + 145*i**h = 0.
-1, -1/4, -1/5, 0
Let v = -244 + 3694/15. Let h = v - 5/3. Factor -24/5*y**3 + 48/5*y**2 + 0*y + h*y**4 + 0.
3*y**2*(y - 4)**2/5
Solve 0 + 176/5*s**4 + 168/5*s + 184/5*s**2 - 518/5*s**3 - 2*s**5 = 0.
-2/5, 0, 1, 3, 14
Let i(u) be the second derivative of 8*u**2 - 3*u - 11/10*u**5 + 0 - 7*u**4 - 12*u**3. Factor i(p).
-2*(p + 2)**2*(11*p - 2)
Let q(o) be the first derivative of o**5/25 - 2*o**4/5 + 2*o**3/5 + 4*o**2 + 5*o - 412. Find p, given that q(p) = 0.
-1, 5
Let u be (-2)/(-8) - 9/(29 - -7). Let a(k) be the second derivative of 0*k**2 + 1/30*k**6 - 2*k - 1/63*k**7 + u*k**5 + 0*k**3 - 1/36*k**4 + 0. Factor a(j).
-j**2*(j - 1)**2*(2*j + 1)/3
Suppose 0 = -5*s + 6*s - 84. Suppose 2*t + s = 84. Factor -1/4*f**3 + t + 0*f - 3/4*f**2.
-f**2*(f + 3)/4
Let f = -22624 - -1877819/83. Let s = f + 2/249. What is t in 0*t**4 + 0 - 2/3*t**3 + 0*t**2 + 1/3*t + s*t**5 = 0?
-1, 0, 1
Let y(n) be the first derivative of -n**6/90 + n**5/30 + 16*n**3/3 - 10. Let s(t) be the third derivative of y(t). Factor s(f).
-4*f*(f - 1)
Let p(w) = w**3 + 12*w**2 + 12*w + 13. Let c be p(-11). Find o such that 921*o + o**c - 921*o - 4 = 0.
-2, 2
Let i(t) be the third derivative of 0*t + 7/90*t**5 - 5*t**2 + 10/9*t**3 + 37/36*t**4 + 0. Factor i(y).
2*(y + 5)*(7*y + 2)/3
Let q(n) be the third derivative of 0*n - 5/42*n**4 - 14*n**2 - 4/21*n**3 + 0 - 2/105*n**5. Factor q(w).
-4*(w + 2)*(2*w + 1)/7
Let w be (140/(-105))/((3/18)/((-5)/340)). Factor -2/17*z**2 + w*z - 2/17*z**3 + 0 + 2/17*z**4.
2*z*(z - 1)**2*(z + 1)/17
Suppose 2*z + 9 + 3 = 0. Let o(v) = 8*v**2 + 7*v - 8. Let a(t) = -109 + 18*t + 102 + 7*t**2 - 12*t. Let y(k) = z*o(k) + 7*a(k). Let y(n) = 0. What is n?
-1, 1
Let k(c) be the second derivative of -c**6/5 - c**5/10 + c**4/2 + c**3/3 + 4*c - 19. Suppose k(s) = 0. Calculate s.
-1, -1/3, 0, 1
Factor 3/8*x**3 + 3/4 - 3/4*x**2 - 3/8*x.
3*(x - 2)*(x - 1)*(x + 1)/8
Let y = 18 - 6. Suppose -7*t + y = -t. Determine n, given that -5*n - n**2 - 5*n - 5 + 2*n**2 - 6*n**t = 0.
-1
Let c(y) be the first derivative of 0*y + 32/3*y**5 - 40/9*y**3 + 14/9*y**6 - 7 + 0*y**2 + 23/3*y**4. Suppose c(o) = 0. Calculate o.
-5, -1, 0, 2/7
Let o(c) = -c**2 + 8*c - 13. Let q be (-2 + 3 + -3)/2 + 5. Let t be o(q). Determine p, given that -9*p - t + 21/4*p**2 = 0.
-2/7, 2
Let y(w) be the second derivative of -w**5/15 + w**4/6 + 5*w**2 - 5*w. Let o(j) be the first derivative of y(j). Solve o(m) = 0.
0, 1
Suppose 147 = k + r - 22, -4*r + 328 = 2*k. Let q = k + -174. Suppose q*m + 1/4*m**4 + 0*m**3 - 1/4*m**2 + 0 = 0. Calculate m.
-1, 0, 1
Suppose -j + 10 = -5*y, -3*y = 3*j - y + 4. Factor j*t + 1/2*t**4 + 0 + 3/2*t**3 + t**2.
t**2*(t + 1)*(t + 2)/2
Let g(v) be the second derivative of v**4/3 - 42*v**3 - 8*v - 11. Find j, given that g(j) = 0.
0, 63
Let g be -3 + 22/44 + 38/12. What is j in -10/9*j**2 - g*j**3 + 2/9 + 2/3*j + 8/9*j**4 = 0?
-1, -1/4, 1
Let q(z) be the third derivative of z**6/40 - z**5/20 - z**4/2 + 2*z**3 + 92*z**2. Let q(s) = 0. What is s?
-2, 1, 2
Let r(q) be the second derivative of -q**4/3 + 20*q**3/3 + 22*q**2 + 31*q - 2. Factor r(s).
-4*(s - 11)*(s + 1)
Let i = 35 - 45. Let j be (1 - i/6) + (-25)/(-75). Factor -3/2*b**2 - j*b**3 + 0 + 0*b - 3/2*b**4.
-3*b**2*(b + 1)**2/2
Let k(m) = 6*m**2 - 19*m + 2. Let v be k(7). Let g = -163 + v. Factor 2*x + g + 1/2*x**2.
x*(x + 4)/2
Let i be 0/2 - (-14 - -10). Suppose z + i*z = q + 5, 0 = 2*z - 2. What is d in -3/2*d**4 + 0*d**2 + q*d + 0 + 3/2*d**3 = 0?
0, 1
Suppose -11*w**3 - 4*w**2 - 2*w**4 + 4*w - w + 2*w**4 + w + 6*w**4 = 0. Calculate w.
-2/3, 0, 1/2, 2
Suppose -48/5*x - 36 - 3/5*x**2 = 0. Calculate x.
-10, -6
Let o(c) = 8*c + c**3 - 4*c + 7 - 15*c - 11*c**2. Let p be o(12). Solve -4*a**4 - 29*a**2 - a**5 - 3*a**4 - p*a**3 - 4 - 16*a + 3*a**2 + a**2 = 0.
-2, -1
Suppose 7*n - 396 = 150. Let d be (-2)/12 + 7/(252/n). Find h such that -3/4*h - 1/2 - 1/4*h**d = 0.
-2, -1
Let m = 5 + 21. Factor -2*d - 2*d**2 - 10*d**2 - 8 + m*d + 2*d**2.
-2*(d - 2)*(5*d - 2)
What is w in 0 - 30*w + 21/2*w**3 - 102*w**2 = 0?
-2/7, 0, 10
Let c(m) = 10*m**2 - 62*m + 12. Let a(g) = 4*g + 9. Let u(d) = 5*d + 11. Let r(l) = -6*a(l) + 5*u(l). Let n(y) = c(y) + 8*r(y). Suppose n(f) = 0. What is f?
2/5, 5
Let c(d) be the second derivative of 0 + 1/168*d**4 + 5*d - 1/2*d**2 + 0*d**3 - 1/420*d**5. Let w(z) be the first derivative of c(z). Factor w(q).
-q*(q - 1)/7
Let p(a) = a**5 + a**2 - 4. Let x(g) = g**5 - g**4 + 11*g**3 - 5*g**2 - 10*g. Let k(v) = -10*p(v) + 5*x(v). What is w in k(w) = 0?
-4, -1, 1, 2
Let h = 1 - -2. Suppose -2*o - 6 = -2*l, -h*l - l + o + 12 = 0. Factor 0*a**2 + 0*a**3 + 2*a - 2*a**3 + 3*a**l - 3*a**2.
a*(a - 2)*(a - 1)
Suppose 7*p - 8 = 6. Factor -o**4 + 2*o**p + 5 - 3*o**2 - 2*o**3 - 5.
-o**2*(o + 1)**2
Let y be (3/(-60) - 0)/((-2)/25). Let u(b) be the first derivative of -17/6*b**3 + 4*b**2 - 4 - 2*b + y*b**4. Factor u(t).
(t - 2)*(t - 1)*(5*t - 2)/2
Suppose 0 - 80/13*t**2 + 0*t - 6/13*t**3 + 2/13*t**4 = 0. Calculate t.
-5, 0, 8
Let d(b) be the second derivative of b**9/5292 - b**7/294 + 2*b**5/105 + 17*b**3/6 + b. Let q(l) be the second derivative of d(l). Find i, given that q(i) = 0.
-2, -1, 0, 1, 2
Let i(l) = -2*l - 10. Let a be i(-7). Factor 3 - 7 - a*s**2 + 14*s - 6*s.
-4*(s - 1)**2
Let u(z) be the first derivative of -2*z**3/11 + 159*z**2/11 - 312*z/11 - 712. Find p such that u(p) = 0.
1, 52
Let i = 506 + -501. Let l(k) be the third derivative of -1/84*k**8 - 1/15*k**i + 2/105*k**7 + 7*k**2 + 1/30*k**6 + 0*k**3 + 0*k + 0 + 0*k**4. Factor l(t).
-4*t**2*(t - 1)**2*(t + 1)
Suppose 2*x = -g + 10, 0 = -2*g - 3*x + x + 12. Let a(y) = -y**2 - 19*y + 2. Let l be a(-19). Solve -t**l + t**2 + 4*t**3 + g*t**2 + 2*t**4 = 0 for t.
-1, 0
Let q be 1 + (-13)/7 + 18006/21007. Let o = 13/28 - -2/7. Determine y, given that q - 3/4*y - 3/4*y**4 + 3/4*y**2 + o*y**3 = 0.
-1, 0, 1
Suppose -5*b - 2*b = -21. Factor f**2 - b*f + 3 + 3*f**2 - 3*f - f**2.
3*(f - 1)**2
Let s be 0/((-1)/(-3) + (-85)/(-51)). Let r(w) be the third derivative of -1/48*w**4 + 0 - 8*w**2 + 1/240*w**5 + s*w + 0*w**3. Factor r(m).
m*(m - 2)/4
Suppose 5*p = 4*l + 15, -p + 2*l + 3 = 3*l. Solve p*z**4 - 3*z**5 + 3*z + 6*z**5 - 3*z = 0 for z.
-1, 0
Let z be 4 - -3 - (6 - 1). Find w, given that 5*w**5 - 5*w**5 - 3*w**4 + 3*w - 1 - w**5 + 2*w**2 + 2 - z*w**3 = 0.
-1, 1
Suppose -9 = 16*w - 39 - 34. Factor 0*g**w - 2/11*g**3 + 0 + 0*g + 0*g**2 + 2/11*g**5.
2*g**3*(g - 1)*(g + 1)/11
Suppose -18 = -3*z - g, -4*z - 2*g = -8*z + 34. Suppose -2*d = f - 1, 0 = -d - d + f + z. Factor -1/3*s**3 + 2/3 + 1/3*s - 2/3*s**d.
-(s - 1)*(s + 1)*(s + 2)/3
Let f(n) be the second derivative of -n**6/50 - 18*n**5/25 + 5*n**4/4 - 202*n. What is o in f(o) = 0?
-25, 0, 1
Let r(z) = z**2 - 11*z - 10. Let i be r(12). Let x(w) be the first derivative of 32/5*w - 2*w**4 + 16/3*w**3 + 2/5*w**5 - 8*w**2 - 1/30*w**6 + i.