*(w - 2)*(w - 1)*(w + 1)**2/7
Suppose -3*m = -3*t, 0*t - 3 = 3*m - 4*t. Suppose m*p - 45 = -39. Find i, given that 2/3*i**3 + 0*i + 8/3 - p*i**2 = 0.
-1, 2
Let t = -7118/7 - -1017. Factor 0 + 1/7*a + 1/7*a**4 - 1/7*a**3 - t*a**2.
a*(a - 1)**2*(a + 1)/7
Let b(z) be the first derivative of z**4/4 - 5*z**3/3 + z**2 - 7*z + 5. Let d be b(5). Factor -2*l**2 + 2*l + 1 - 4 + d.
-2*l*(l - 1)
Let w = 16881/4 + -4220. Factor 1/2*f + w*f**2 + 0.
f*(f + 2)/4
Let i(k) = 2*k + 13. Let r be i(-11). Let f = 29/3 + r. Find x, given that -10/3*x + f*x**2 + 2/3*x**3 + 2 = 0.
-3, 1
Let c be (6/(-8))/((-4)/16). Find k, given that -9*k - 92*k - 55*k - 288*k**2 + 66 - 86 + 64*k**c = 0.
-1/4, 5
Suppose 3*y + 4*u + 3 = 4*y, 0 = 4*u. Let f be ((2 - 1) + 0)*y. Let 1 - 3 + 2 - j**2 + j**f = 0. What is j?
0, 1
Let x(p) be the first derivative of p**6/3 + 8*p**5/5 + 3*p**4 + 8*p**3/3 + p**2 + 124. Factor x(q).
2*q*(q + 1)**4
Suppose -4*c - w + 0*w + 31 = 0, -w = -c + 14. Suppose c*s - s - 16 = 0. Determine m so that 1/2*m**s + 0 + 1/2*m**4 + m**3 + 0*m = 0.
-1, 0
Solve -56/11 - 2/11*o**2 - 32/11*o = 0.
-14, -2
Factor 172*k**3 + 89424/5*k + 23328/5 - 16/5*k**4 - 15336/5*k**2.
-4*(k - 18)**3*(4*k + 1)/5
Let o(a) be the third derivative of a**6/24 - 5*a**5/12 + 5*a**4/12 + 20*a**3/3 + 183*a**2. Let o(h) = 0. What is h?
-1, 2, 4
Let m(k) be the third derivative of k**6/1080 - 29*k**5/540 + 20*k**4/27 + 128*k**3/9 + 155*k**2. Factor m(b).
(b - 16)**2*(b + 3)/9
Let x be (-8)/(-12)*1*9. Factor 4 + w**2 - x*w + 5 + 0*w**2.
(w - 3)**2
Let m(t) be the third derivative of 11*t**5/20 + 5*t**4/8 - 3*t**3 + 34*t**2. Factor m(q).
3*(q + 1)*(11*q - 6)
Let k(x) be the second derivative of -x**6/40 + 4*x**5/45 - 5*x**4/72 - x**3/9 - 11*x**2/2 - 3*x. Let y(d) be the first derivative of k(d). Factor y(a).
-(a - 1)**2*(9*a + 2)/3
Solve 6/7*y**2 - 31/7*y**3 - 11/7*y**4 + 0*y + 0 = 0 for y.
-3, 0, 2/11
Let p(u) be the second derivative of 7/2*u**3 + 3/2*u**2 + 5*u + 3/2*u**4 + 2. Determine s so that p(s) = 0.
-1, -1/6
Let o = 2864/6699 - -1/957. Factor 6/7 - 3/7*i**2 - o*i.
-3*(i - 1)*(i + 2)/7
Suppose 3*j - 15 = -2*s - s, 5*s - 19 = -2*j. Factor -4*w**2 + 5*w**3 + 0*w**2 - s*w**2 - 3*w**2.
5*w**2*(w - 2)
Let t be (-9)/(-360)*9/6. Let v(q) be the second derivative of 4*q + 0 + t*q**5 + 0*q**2 + 1/16*q**4 + 0*q**3. Let v(h) = 0. What is h?
-1, 0
Let n = -115 - -118. Let h(y) = -36*y**2 - 108*y - 120. Let z(q) = 7*q**2 + 22*q + 24. Let g(p) = n*h(p) + 16*z(p). Factor g(i).
4*(i + 1)*(i + 6)
Factor 4/3 - 3/2*w + 3/2*w**3 - 7/6*w**2 - 1/6*w**4.
-(w - 8)*(w - 1)**2*(w + 1)/6
Let z(v) be the second derivative of -v**5/120 + 7*v**3/36 + v**2/2 + 4*v + 1. Factor z(a).
-(a - 3)*(a + 1)*(a + 2)/6
Let j(r) = r**2 - 2*r. Let f(o) = 14*o - 100. Let c(b) = -2*f(b) - 4*j(b). Suppose c(v) = 0. Calculate v.
-10, 5
Let -8/7 + 8/7*j**2 + 1/7*j**3 - 1/7*j = 0. Calculate j.
-8, -1, 1
Factor -16/13*i**3 - 3900*i + 42250 + 120*i**2.
-2*(2*i - 65)**3/13
Let l(h) be the third derivative of -h**8/1344 + 11*h**7/840 - 13*h**6/160 + 61*h**5/240 - 11*h**4/24 + h**3/2 + 115*h**2. Factor l(u).
-(u - 6)*(u - 2)*(u - 1)**3/4
Factor 1/5*t**2 + 0 + 2/5*t - 1/5*t**3.
-t*(t - 2)*(t + 1)/5
Let v(q) be the second derivative of -q**8/6720 - q**7/2520 + q**6/720 + q**5/120 + q**4/4 - 12*q. Let w(r) be the third derivative of v(r). Solve w(t) = 0.
-1, 1
Let c(b) be the second derivative of b**5/4 - 55*b**4/12 + 20*b**3/3 + 50*b**2 + 3*b + 10. Factor c(l).
5*(l - 10)*(l - 2)*(l + 1)
Factor 100*u + 2000*u**2 + 5/4.
5*(40*u + 1)**2/4
Let 26*v**2 + 4 + 8 + 23*v**2 - 48*v**2 - 7*v = 0. What is v?
3, 4
Suppose 9/2*f + 3/2*f**4 + 15/2*f**3 + 21/2*f**2 + 0 = 0. What is f?
-3, -1, 0
Find q, given that 17*q + 2 + 0 - 10*q + 0 - 9*q**2 = 0.
-2/9, 1
Let j = -6 + -34. Let w = j - -44. Find n, given that -3/2*n - 3/2*n**2 + 3/2*n**w + 3/2*n**3 + 0 = 0.
-1, 0, 1
Suppose 4*x + 3 = z, -8 = -2*x - 4*z + 4. Let v(f) be the second derivative of 1/6*f**4 + x + f**2 - 2*f - 2/3*f**3. What is k in v(k) = 0?
1
Let j = 139 + -134. Let p be (-1595)/330 + j/1. Find f, given that 1/6*f**3 + 0 - 1/3*f**2 + p*f = 0.
0, 1
Suppose -114*b = -115*b + 2. Find z such that -2 + 2/3*z**b + 4/3*z = 0.
-3, 1
Suppose 4 = 3*i - 2. Factor -s**2 + 2*s + 3*s + 7*s**2 - s**i.
5*s*(s + 1)
Let s = 173 - 179. Let q be (-6)/(-6) - (-2)/s. Factor 1/9*f**2 + 1 - q*f.
(f - 3)**2/9
Factor -p**2 + 145*p**2 - 6*p**4 + 80*p**3 + 6*p**4 + 4*p**4.
4*p**2*(p + 2)*(p + 18)
Let a(i) = 2*i**2 - 19*i + 12. Let t(u) = 3*u**2 - 37*u + 25. Let z(d) = 5*a(d) - 3*t(d). Let j be z(-17). Factor -3/5*m**j + 0 + 2/5*m + 1/5*m**3.
m*(m - 2)*(m - 1)/5
Determine j, given that 4/3*j**3 - 2/3*j**5 + 4/3 + 4/3*j**4 - 8/3*j**2 - 2/3*j = 0.
-1, 1, 2
Suppose -8 = -3*y + 7. Let 2*k**4 - 9*k**5 + y*k**5 + 2*k**4 = 0. Calculate k.
0, 1
Let g(o) be the second derivative of 3*o**5/80 + 3*o**4/2 - o**3/2 - 36*o**2 - 353*o. Determine r, given that g(r) = 0.
-24, -2, 2
Let y(v) be the second derivative of v**5/90 - v**4/54 - 8*v**3/27 + 4*v**2/3 - 129*v. Solve y(o) = 0.
-3, 2
Let g = -3/754 - -9431/1508. Let z(w) be the second derivative of 0 + 5*w**3 + 3/2*w**2 + g*w**4 - 2*w. Suppose z(t) = 0. What is t?
-1/5
Suppose 63*g + 1164 = 294*g + 60*g. Determine w so that -3/4*w**5 + 0 + 3/2*w**2 + 0*w**3 - 3/2*w**g + 3/4*w = 0.
-1, 0, 1
Suppose 0 = -0*u + 2*u - 10. Let f be (-1)/u*(-20)/8. Solve f*m**3 - 1/2*m**2 + 0 - m = 0 for m.
-1, 0, 2
Let b(k) = -k**2 + 11*k - 8. Let w be b(10). Factor 20*i**2 + 16*i + 10*i**3 + w*i**3 - 10*i + 2*i.
4*i*(i + 1)*(3*i + 2)
Suppose -3*p + 20 = 5*n, n + 2*p - 4 = p. Let b(o) be the third derivative of -1/60*o**6 + 0*o + 1/12*o**n - 3*o**2 + 0*o**3 + 0*o**5 + 0. Solve b(j) = 0.
-1, 0, 1
Let l(s) be the first derivative of -s**3/4 + 3*s**2 - 45*s/4 - 290. Solve l(u) = 0 for u.
3, 5
Let x(m) = 5*m**3 - m. Let f(j) = -14*j**3 + 229*j**2 + 13227*j + 12996. Let l(u) = -f(u) - 3*x(u). Solve l(k) = 0 for k.
-114, -1
Suppose v - 300 = -2*t, -4*v = -2*t - t + 461. Let o = 175 - t. Factor -o + 12*h - 3/2*h**2.
-3*(h - 4)**2/2
Let z(r) = -r**2 - r - 1. Let c(d) = -21*d - 3*d**2 - 6 - d**2 - 3*d**2 + 16*d. Let w(b) = -3*c(b) + 24*z(b). Find m such that w(m) = 0.
-2, -1
Suppose -10 + 86*v**4 + 196/3*v**3 - 76*v**2 - 178/3*v - 6*v**5 = 0. What is v?
-1, -1/3, 1, 15
Let g be (7 - (-1485)/255) + -12. Let 38/17*u**2 - 8/17 + 16/17*u + g*u**3 = 0. What is u?
-2, -1, 2/7
Suppose -3*f + 12 = f + 4*z, 0 = z. Let s(y) be the second derivative of 1/12*y**4 + 0*y**5 + 0 - 1/30*y**6 + 0*y**3 + 0*y**2 + f*y. Factor s(m).
-m**2*(m - 1)*(m + 1)
Let q be 12/(1/(-3)*-3). Let l = q + -10. Factor -8*g**4 - 3*g**4 + 19*g**3 - g**3 - 12*g**l + 2*g + 3*g**4.
-2*g*(g - 1)**2*(4*g - 1)
Let c = -41 + 48. Factor -c*p**2 + 5*p - 9*p + p**2 + 24 + 2*p**2.
-4*(p - 2)*(p + 3)
Let q(x) be the second derivative of -x**4/4 + 8*x**3/9 + 2*x**2/3 + 97*x. Suppose q(j) = 0. Calculate j.
-2/9, 2
Suppose 2*t**2 + 0*t - 1/2*t**5 + 0*t**3 - 3/2*t**4 + 0 = 0. What is t?
-2, 0, 1
Let x(u) be the first derivative of -1/6*u**3 - 50*u + 36 - 5*u**2. Suppose x(q) = 0. What is q?
-10
Let y(o) be the first derivative of 5*o**4/12 + 4*o**3/3 - 11*o**2/6 - 2*o + 258. Let y(s) = 0. Calculate s.
-3, -2/5, 1
Suppose -11 = -2*n - 9*n. Let a(c) be the first derivative of 0*c + c**3 - 3/2*c**2 + n. Factor a(z).
3*z*(z - 1)
Let f(s) = -30*s**2 - 2*s + 5. Let z(d) = -1. Let p(a) = -f(a) - 5*z(a). Let q(v) = 30*v**2 + v. Let t(x) = 5*p(x) - 6*q(x). Factor t(y).
-2*y*(15*y - 2)
Factor 84*o - 3/4*o**3 - 87 - 75/4*o**2.
-3*(o - 2)**2*(o + 29)/4
Let x(o) = -o**3 - 6*o**2 - 3*o. Let j be x(-5). Let w be (-22)/j + (-1)/5. Factor 4 + 0*t**2 - 1 - 3*t - 4*t**w + t**2 + 3*t**3.
3*(t - 1)**2*(t + 1)
Suppose -8 = -5*l + 2*h + 7, l - 3*h = 3. Factor 47*k + 10*k**2 + 3*k**l - 4*k**3 - 52*k - 4*k**3.
-5*k*(k - 1)**2
Suppose -y + 6 = y. Suppose -t = -2*d + 7, -3 + 4 = 5*d + y*t. Find k, given that -k**2 - 1 - k**2 - k**4 + 6*k**2 - 2*k**d = 0.
-1, 1
Factor 1 + 17*a**2 + 4*a**3 - 15*a**2 - 3*a - a + 457*a**4 - 460*a**4.
-(a - 1)**2*(a + 1)*(3*a - 1)
Let j(q) be the second derivative of 2*q**5/55 + 5*q**4/66 - 16*q**3/33 - 20*q**2/11 + 61*q. Suppose j(r) = 0. What is r?
-2, -5/4, 2
Let r(l) be the first derivative of -2*l**6/15 - 3*l**5/5 + l**4/3 + 2*l**3 - 18*l - 14. Let f(p) 