*3 + 3*o**2. What is x in s(x) = 0?
-1, -1/4, 1
Let h = -3299/8 + 42157/120. Let g = 188/3 + h. Find o such that 2/5 - 6/5*o - g*o**2 = 0.
-1, 1/4
Let c = 3 - 3. Let v be (6/(-20))/((-3)/4). Let c*f + 2/5 - v*f**2 = 0. What is f?
-1, 1
Let c(h) be the second derivative of -h**5/40 + h**4/6 - 5*h**3/12 + h**2/2 + 33*h. Determine a, given that c(a) = 0.
1, 2
Let f be (-4)/(-2 + 1)*1. Suppose 3*i - 4*g + 6 = 0, -f*i - 4*g = -3*g - 11. Factor 2/7*b**i + 6/7*b + 4/7.
2*(b + 1)*(b + 2)/7
Let h(f) be the third derivative of f**10/10080 - f**9/1680 + f**7/210 + f**4/12 + 4*f**2. Let u(c) be the second derivative of h(c). Factor u(k).
3*k**2*(k - 2)**2*(k + 1)
Let s(a) be the third derivative of a**9/15120 - a**8/5040 - a**7/1260 + a**6/180 - a**5/12 + 10*a**2. Let v(b) be the third derivative of s(b). Factor v(w).
4*(w - 1)**2*(w + 1)
Let c(d) = 2*d**3 + 2. Let j be c(0). Let p(u) be the first derivative of -9/2*u**j + 7/3*u**3 - 1 + 2*u. Suppose p(n) = 0. What is n?
2/7, 1
Let y(w) be the third derivative of -3*w**5/50 + w**4/10 - 2*w**2 + 20*w. Solve y(j) = 0.
0, 2/3
Let y be 10/(-18) + (-10)/(-15). Let a(m) be the first derivative of 0*m**3 - 1/18*m**4 + 2 + y*m**2 + 0*m. Solve a(r) = 0.
-1, 0, 1
Determine s so that -15/4*s - 1/4*s**3 + 7/4*s**2 + 9/4 = 0.
1, 3
Let y(j) be the first derivative of -7*j**6/3 + 52*j**5/5 - 17*j**4 + 32*j**3/3 + j**2 - 4*j + 7. Factor y(r).
-2*(r - 1)**4*(7*r + 2)
Let q(b) be the third derivative of 1/60*b**6 + 0*b + 1/12*b**3 + 0 - 2*b**2 - 1/12*b**4 - 1/120*b**5. Solve q(z) = 0.
-1, 1/4, 1
Let k = 379 - 179. Suppose 0*m**3 - 200*m**2 + 3*m**3 + k*m**2 = 0. What is m?
0
Let c(f) = 3*f**5 + f**4 + 7*f**3 - 7*f + 7. Let q(m) = 2*m**5 + 4*m**3 - 4*m + 4. Let h(p) = 4*c(p) - 7*q(p). Factor h(t).
-2*t**4*(t - 2)
Suppose 0 = 2*w - 3 - 3. What is v in 3 - 24*v - v**w - 5 + 27*v = 0?
-2, 1
Let i(j) = -2*j**4 - 36*j**3 + 11*j**2 + 155*j - 144. Let d(s) = s**4 + 12*s**3 - 4*s**2 - 52*s + 48. Let l(p) = -11*d(p) - 4*i(p). What is b in l(b) = 0?
-2, 2
Let t be (-349)/177*(-8)/20. Let l = 2/177 + t. Factor -6/5*w**2 + 2/5*w + 2/5*w**4 - 2/5*w**3 + l.
2*(w - 2)*(w - 1)*(w + 1)**2/5
Let i = -16 + 9. Let k(f) = -f**2 - 7*f + 5. Let g be k(i). Let -2*b + 5*b + 6*b**2 - 6*b**4 + 10*b**3 - g*b - 8*b**5 = 0. What is b?
-1, 0, 1/4, 1
Let g(v) be the second derivative of -v**7/21 + 3*v**5/10 + v**4/3 - 9*v. What is f in g(f) = 0?
-1, 0, 2
Let f(i) be the second derivative of i**6/90 - i**5/15 + i**4/9 - 11*i. Factor f(y).
y**2*(y - 2)**2/3
Suppose 5*t - 17*o - 12 = -21*o, 3*t + 6 = 2*o. Factor 0 + t*w + 6/7*w**3 + 2/7*w**4 + 4/7*w**2.
2*w**2*(w + 1)*(w + 2)/7
Let c(p) be the second derivative of 0 - 4*p + 0*p**2 - 1/20*p**4 - 1/10*p**3. Find d, given that c(d) = 0.
-1, 0
Let h(x) be the first derivative of -x**9/10584 - x**8/5880 + x**7/2940 + x**6/1260 + 5*x**3/3 - 5. Let u(o) be the third derivative of h(o). Factor u(k).
-2*k**2*(k - 1)*(k + 1)**2/7
Let z(n) be the third derivative of -n**6/24 - 2*n**2. Find m, given that z(m) = 0.
0
Let x be (-783)/(-315) - (-1)/(-5). Let p = x - 2. Factor -4/7*d - p*d**2 - 2/7.
-2*(d + 1)**2/7
Factor -5/8*j**4 + 2 + 25/8*j**2 + 5/8*j**3 - 5*j - 1/8*j**5.
-(j - 1)**3*(j + 4)**2/8
Let a(o) be the first derivative of -81*o**6 - 1134*o**5/5 + 711*o**4 - 4520*o**3/9 + 152*o**2 - 64*o/3 + 17. Determine q so that a(q) = 0.
-4, 2/9, 1
Let a = 2/145 + 1726/1015. Factor 8/7 + 20/7*f - 4/7*f**3 + a*f**2 - 4/7*f**4.
-4*(f - 2)*(f + 1)**3/7
Let y(j) = -j**2 - j + 1. Suppose 0 = -2*w - 3*w - 2*v - 29, -2*v + 16 = -4*w. Let q(r) = 6*r**2 + 7*r - 4. Let x(l) = w*y(l) - q(l). Factor x(u).
-(u + 1)**2
Let m(r) be the second derivative of -3/4*r**3 + 7*r + 3/2*r**4 + 0 - 21/40*r**5 - 3/2*r**2. Let m(k) = 0. Calculate k.
-2/7, 1
Let t = 3 + -1. Solve -9 + 9 + t*b**2 = 0.
0
Let w be (2/(-5))/((-3)/5). Let m be (17 + -12)/(1 - 3/(-2)). Solve w*p**m - 8/3*p + 8/3 = 0.
2
Factor -a + 1/5*a**3 + 2/5 + 3/5*a**2 - 1/5*a**4.
-(a - 1)**3*(a + 2)/5
Let x = -40 - -282/7. Determine i, given that x*i**2 + 2/7 - 4/7*i = 0.
1
Let q be 189/(-28) + 21/3. Let -q + 1/4*a + 1/4*a**2 - 1/4*a**3 = 0. What is a?
-1, 1
Let q(k) be the third derivative of k**3 + 0 + 5/8*k**4 + 1/5*k**5 + 0*k - 5*k**2 + 1/40*k**6. Factor q(t).
3*(t + 1)**2*(t + 2)
Let c(s) be the first derivative of 7/6*s**2 - 4 - 2/9*s**3 + 2/3*s - 7/12*s**4. Factor c(p).
-(p - 1)*(p + 1)*(7*p + 2)/3
Let o = 15 + -11. Let -w**2 + 0*w**3 + w**3 - 5*w**4 + 7*w**4 - w - w**o = 0. What is w?
-1, 0, 1
Let c(q) be the first derivative of -1/12*q**4 + 0*q + 1/30*q**5 - 1 - q**2 - 2/3*q**3. Let w(u) be the second derivative of c(u). Find j such that w(j) = 0.
-1, 2
Let s(m) = -m**3 - 2*m**2 + 2*m. Let h be s(-3). Suppose z + 7 + 3 = 3*v, -h = 3*z. Factor 3*u**4 - 16 + 16 + 3*u**v.
3*u**3*(u + 1)
Let b be (1 + -2)/(10/(-40)). Let c be (-1)/(-3) - (-1)/(-9). Factor c*v**b + 0 - 4/9*v**3 + 0*v + 2/9*v**2.
2*v**2*(v - 1)**2/9
Let x(b) = -3*b**2 - 3*b - 4. Let q(a) = 15*a**2 + 15*a + 21. Let z(v) = 4*q(v) + 21*x(v). Factor z(l).
-3*l*(l + 1)
Let t = -15 + 21. Suppose 2*a + t = -2*c, 4*c - a = -2 + 15. Factor p**2 + 4*p**5 - p**c - 5*p**5 - p**4.
-p**4*(p + 1)
Suppose 1 = -w + 4. Suppose -5*h + 3*v = -3, -h - w*v - 2*v = 5. Factor h + 2 + 8*a**3 - 5*a - 2*a**2 - 3*a.
2*(a - 1)*(a + 1)*(4*a - 1)
Let g = -19 + 35. Suppose 5*w - w = g. Factor 0*q**2 + 5*q**3 + 3*q - 2*q**2 - 5*q + 2*q**w - 3*q**3.
2*q*(q - 1)*(q + 1)**2
Let u(v) be the second derivative of v**6/60 + v**5/40 + 8*v. Determine p, given that u(p) = 0.
-1, 0
Suppose 3*j = 1 + 8. Factor 4*z**3 + z**2 - 2*z**2 - 4*z**j + z**3 - 2*z.
z*(z - 2)*(z + 1)
Suppose -x = 3*m + 4 - 0, x + 4*m + 6 = 0. Factor -10/3*j - x + 2/3*j**3 - 2/3*j**2.
2*(j - 3)*(j + 1)**2/3
Find t, given that 112*t**3 + 3*t**4 + 12 + 0*t + 45*t**2 - 91*t**3 + 39*t = 0.
-4, -1
Let w be ((-1)/(-3))/(1/12). Let l be 0 + w/11 + 0. Factor -l*b**2 - 2/11*b - 2/11*b**3 + 0.
-2*b*(b + 1)**2/11
Factor 2*v**3 - 4/3*v**2 + 0 + 1/3*v**5 + 1/3*v - 4/3*v**4.
v*(v - 1)**4/3
Let y(q) = -q**3 + 3*q**2 - 6*q - 7. Let t(z) = z**3 - 5*z**2 + 12*z + 13. Let j(c) = 3*t(c) + 5*y(c). Factor j(w).
-2*(w - 2)*(w + 1)**2
Let o(q) = -2*q**3 - 3*q**2 - q - 3. Let j(l) = l**3 + l**2 + 1. Let f(u) = 6*j(u) + 2*o(u). Let f(i) = 0. What is i?
-1, 0, 1
Let s(c) = c**2 + 3*c. Let f be (-3)/(1/((-12)/(-9))). Let q be s(f). Factor 1 + w + w**3 - q*w**3 + 2*w**3 - w**2.
-(w - 1)*(w + 1)**2
Factor 2*t**4 + 0 - 4/5*t**2 + 0*t + 6/5*t**3.
2*t**2*(t + 1)*(5*t - 2)/5
Let q = 2986/713 - 1692308/514073. Let c = q + -4/103. Find s such that 2/7*s**2 - 2/7*s**5 + 0*s + 0 + c*s**4 - 6/7*s**3 = 0.
0, 1
Let a(k) = -2*k**4 + k**3 - 4*k**2 - k + 3. Let p(w) be the third derivative of -w**7/210 - w**5/60 + w**3/6 + w**2. Let s(u) = a(u) - 3*p(u). Solve s(t) = 0.
-1, 0, 1
Let x = -16/7 - -18/7. Factor -x*z**3 + 6/7*z + 4/7 + 0*z**2.
-2*(z - 2)*(z + 1)**2/7
Suppose -10 + 0 = -2*l. Factor 5*z - l*z**2 + z + 7*z**2 - 5*z**2 - 3.
-3*(z - 1)**2
What is b in -87*b**2 - 23 - 31 - 117*b - 3*b**4 - 17*b**3 - 10*b**3 = 0?
-3, -2, -1
Let n(b) be the second derivative of b**8/3360 - b**7/630 + b**6/360 + b**4/6 - 3*b. Let d(r) be the third derivative of n(r). Find m such that d(m) = 0.
0, 1
Let f(c) = -c**3 - c**2 - c. Let m(b) = 46*b**3 - 59*b**2 - 54*b - 10. Let o(s) = -f(s) - m(s). Factor o(w).
-5*(w - 2)*(3*w + 1)**2
Let f(r) be the first derivative of r**4/34 - 4*r**3/51 - 7*r**2/17 - 8*r/17 - 34. Suppose f(a) = 0. Calculate a.
-1, 4
Suppose -3/2*c**3 - 3/4*c**5 + 21/2*c**2 + 9/4*c - 27/4 - 15/4*c**4 = 0. Calculate c.
-3, -1, 1
Suppose 4*l - 8 = 0, 0 = -2*t + l - 4*l + 16. Suppose 2*j + 11 = -t*m, -2*m = -4*j + j + 12. Factor -4 - 2*o**3 + 2 + 2*o**j + 0*o + 2*o.
-2*(o - 1)**2*(o + 1)
Let t(c) = -21*c**4 - 7 + 3*c**2 + 18*c - 4 - 4 + 15*c**3. Let y(o) = -o**4 + o**2 + o - 1. Let a(g) = -t(g) + 15*y(g). Solve a(w) = 0.
0, 1/2, 1
Factor -1/5*w**3 - 1/5*w**4 + 0 + 4/5*w + 4/5*w**2.
-w*(w - 2)*(w + 1)*(w + 2)/5
Suppose -34*g + 10*g = -72. Factor 2/3*f**2 + 0 + 2/9*f**g + 4/9*f.
2*f*(f + 1)*(f + 2)/9
Suppose -12 + 6 = -2*n. Find z such that -2*z**2 + 5*z**3 - 7*z**3 - 2*z**n = 0.
-1/2, 0
Let g = 138 + -138. Factor g*z + 2/7*z**4 + 0 - 2/7*z**3 + 0*z**2.
2*z**3*(z - 1)/7
Let h(b) be the third derivative of b**8/70560 + b**5/15 - 8*b