-2*(i - 3)*(i - 1)/5
Let i be 0 + (-8)/(3 + -7). Let w be (3 + 3)*1/i. What is k in -k**3 + 0*k**3 - k**w + 2*k**2 = 0?
0, 1
Let x = 226 + -628/3. Let v = 1025/3 - 323. Let 76/3*m**2 + 16/3 + 16/3*m**4 + x*m**3 + v*m + 2/3*m**5 = 0. What is m?
-2, -1
Factor -8*z - 336 + 4*z**2 + 670 + 12*z**3 - 334.
4*z*(z + 1)*(3*z - 2)
Let v(l) be the third derivative of 8*l**7/945 + l**6/135 - l**5/15 + 11*l**4/108 - 2*l**3/27 - 105*l**2. Factor v(g).
2*(g + 2)*(2*g - 1)**3/9
Suppose 4*i + 4*a = -16, -i = -3*i + 5*a - 8. Let m be (15/8)/5*i/(-6). Determine d, given that -1/4*d**3 - m*d + 0 + 1/2*d**2 = 0.
0, 1
Let f(s) be the first derivative of 3*s**6/10 + 93*s**5/25 + 147*s**4/10 + 64*s**3/5 - 144*s**2/5 + 12. Solve f(y) = 0 for y.
-4, -3, 0, 2/3
Let l(h) = 20*h**2 + 18*h - 22. Let s(c) = c**2 + c - 1. Suppose 7*v - 8*v - 44 = 0. Let q(o) = v*s(o) + 2*l(o). Let q(f) = 0. What is f?
-2, 0
Let a be 3*((-232)/80 + 3). Let x(m) be the first derivative of -3/10*m**2 + 0*m + a*m**4 - 1/10*m**6 + 2 + 0*m**5 + 0*m**3. Factor x(u).
-3*u*(u - 1)**2*(u + 1)**2/5
Let o(f) be the second derivative of f**5/5 + 43*f**4/3 - 178*f**3/3 + 90*f**2 - 229*f. Factor o(p).
4*(p - 1)**2*(p + 45)
Let i(l) be the third derivative of -l**8/2016 - l**7/1008 + l**6/216 - 19*l**3/3 - 23*l**2. Let g(x) be the first derivative of i(x). What is u in g(u) = 0?
-2, 0, 1
Suppose -2*c + c + 5 = 0. Let x(d) be the third derivative of 0*d**4 + 0*d**3 + d**2 + 0*d**c + 0*d - 1/120*d**6 + 0. Factor x(h).
-h**3
Let b(o) be the third derivative of 0*o**3 - 1/40*o**6 - 4/5*o**5 - 8*o**4 + 0 - 47*o**2 + 0*o. Factor b(j).
-3*j*(j + 8)**2
Let t(h) = -h**3 + 42*h**2 - 101*h + 72. Let r(y) = 21*y**2 - 51*y + 36. Let w(k) = -5*r(k) + 3*t(k). Factor w(q).
-3*(q - 3)*(q - 2)**2
Suppose 185 = -51*l + 338. Determine z, given that 4/5*z**l + 0 + 2/15*z**4 + 16/15*z + 8/5*z**2 = 0.
-2, 0
Let q(h) be the third derivative of -h**8/1848 + 4*h**7/1155 + h**6/132 + 27*h**2 + 2. Factor q(a).
-2*a**3*(a - 5)*(a + 1)/11
Let a = 1573/1855 - 92/371. Factor 0 - 27/5*y**3 - 48/5*y + a*y**4 + 72/5*y**2.
3*y*(y - 4)**2*(y - 1)/5
Suppose 0 = 2*v - 750 + 18. Let m = v - 363. Factor -6 - m*f**3 - 3/2*f**4 + 9/2*f**2 + 6*f.
-3*(f - 1)**2*(f + 2)**2/2
Let o(g) = 2*g**2 - 10*g - 94. Let i(d) = d + 4. Let j(p) = -6*i(p) - o(p). Suppose j(k) = 0. Calculate k.
-5, 7
Let i = -20305/21 - -967. Let f(q) be the third derivative of 121/420*q**5 + i*q**3 - 6*q**2 - 11/42*q**4 + 0 + 0*q. Suppose f(n) = 0. Calculate n.
2/11
Let p be (-1)/((-150)/305) + -2. Let s(y) be the third derivative of 0*y**3 + 0*y + 0*y**6 + 1/525*y**7 - 10*y**2 - 1/50*y**5 - p*y**4 + 0. Factor s(v).
2*v*(v - 2)*(v + 1)**2/5
Find i, given that i + 10 - 10*i**2 + 17*i**2 + 4*i - 12*i**2 + 0*i = 0.
-1, 2
Suppose -3*v + 70 = 67. Let h(p) be the first derivative of -v + 0*p - 9/10*p**2 + 7/5*p**3. Determine f, given that h(f) = 0.
0, 3/7
Determine p so that 47*p**3 + 2*p**4 + p**4 + 354*p**2 - 180*p - 110*p**3 - 516 - 84 = 0.
-1, 2, 10
Let x(u) = -u**3 + 5*u**2 + 88*u + 35. Let g be x(-7). Let s(j) be the second derivative of 1/4*j**2 + 1/24*j**4 - g*j - 1/6*j**3 + 0. Factor s(q).
(q - 1)**2/2
Let a - 13/2*a**2 + 20*a**4 + 9/2*a**3 + 8*a**5 + 0 = 0. Calculate a.
-2, -1, 0, 1/4
Let i(a) be the third derivative of a**7/1995 + 13*a**6/1140 - 7*a**5/285 - 2*a**2 + 37*a. Factor i(z).
2*z**2*(z - 1)*(z + 14)/19
Let v be 1 + 1 + 0/(-1). Suppose v*g = -7 + 13. Factor 3/4*s**2 + 0 - 3/2*s + 3/4*s**g.
3*s*(s - 1)*(s + 2)/4
Let y(w) be the second derivative of -w**7/7 - 26*w**6/15 - 15*w**5/2 - 40*w**4/3 - 4*w**3 + 16*w**2 - 16*w + 2. Determine a so that y(a) = 0.
-4, -2, -1, 1/3
Let n(c) = -843*c**3 + 88200*c**2 - 4116000*c + 72030000. Let a(f) = -f**4 - f**3. Let m(h) = -3*a(h) + n(h). Find u such that m(u) = 0.
70
Suppose -2/15*g**3 + 16/15 + 8/15*g - 4/15*g**2 = 0. Calculate g.
-2, 2
Let q(f) = -12*f**2 - 15*f - 18. Suppose 3*r = 3*z + 12, -1 = -5*z - 26. Let l(g) = g - 1. Let d(a) = r*q(a) + 12*l(a). Factor d(c).
3*(c + 2)*(4*c + 1)
Suppose -13*c = -10*c - 33. Determine m so that c*m + 8*m - 12 - 3*m**2 - 4*m = 0.
1, 4
Let l(o) be the third derivative of 7*o**2 + 0 + 0*o**6 + 5/12*o**4 + 0*o**3 - 1/42*o**7 + 0*o + 1/4*o**5. Solve l(v) = 0 for v.
-1, 0, 2
Let c(s) = -s**4 + 53*s**3 - 77*s**2 - 187*s + 389. Let d(h) = -h**4 + 80*h**3 - 116*h**2 - 280*h + 584. Let m(k) = 8*c(k) - 5*d(k). Factor m(y).
-3*(y - 4)**2*(y - 2)*(y + 2)
Let c(j) be the first derivative of j**4/90 + 2*j**3/45 + j**2/15 - 12*j - 15. Let x(f) be the first derivative of c(f). Suppose x(a) = 0. Calculate a.
-1
Let k(l) = -l**3 - 4*l**2 + 5*l + 2. Let f be k(-5). Suppose 3*m + f = 8. Factor -22/3*w + 121/6*w**m + 2/3.
(11*w - 2)**2/6
Let i(g) be the second derivative of 1/3*g**4 + 0 + 0*g**3 - 9*g + 0*g**2. Solve i(h) = 0.
0
Let p be ((-52)/(-88))/(-13)*-4. Suppose 0*c**3 + 1/11*c**4 - 3/11*c**2 - p*c + 0 = 0. What is c?
-1, 0, 2
Let p(y) = -3*y**2 - 22*y - 111. Let g(q) = 19*q**2 + 132*q + 669. Let v(z) = -6*g(z) - 39*p(z). Factor v(b).
3*(b + 7)*(b + 15)
Let i(p) = 5*p**3 - 8*p**2 + 6*p. Let m(w) = 36*w**3 - 56*w**2 + 42*w. Let k(z) = -4*z - 28. Let t be k(-18). Let y(c) = t*i(c) - 6*m(c). Factor y(g).
4*g*(g - 3)*(g - 1)
Let t = 2902 - 2898. Find c such that 24/7*c**2 - 32/7 - 20/7*c**3 + 4/7*c**t + 16/7*c = 0.
-1, 2
Let t(s) be the first derivative of -1/6*s**6 + 1/3*s**3 + 0*s**2 - 3/4*s**4 + 4 + 3/5*s**5 + 0*s. Factor t(x).
-x**2*(x - 1)**3
Let a(f) be the third derivative of -f**5/60 - 3*f**4/8 - 7*f**3/3 + 88*f**2. Factor a(g).
-(g + 2)*(g + 7)
Factor 0 + 26/9*x**2 + 2/9*x**5 - 50/9*x**3 + 0*x + 22/9*x**4.
2*x**2*(x - 1)**2*(x + 13)/9
Suppose 26/3*a**2 + 2/3*a**4 - 16/3*a**3 + 0 - 4*a = 0. Calculate a.
0, 1, 6
Let c be 2*(33/6 + 0). Suppose 5*u - 18 + 2 = o, 3*o = -3. Factor -u*i**2 + c + i**3 + 0*i**3 - 7.
(i - 2)**2*(i + 1)
Let s be (18/12)/((-9)/420). Let c be 8/s*((-175)/10)/5. Suppose 1/5 + 1/5*m**4 + 1/5*m**5 + 1/5*m - c*m**2 - 2/5*m**3 = 0. Calculate m.
-1, 1
Let m(z) be the first derivative of -z**5/180 - z**4/72 + z**3/9 + 9*z**2/2 - 5. Let o(x) be the second derivative of m(x). Factor o(d).
-(d - 1)*(d + 2)/3
Suppose 280 = -22*s + 27*s. Suppose -16 - 60*w**2 + s*w**2 + 8*w - 24*w = 0. What is w?
-2
Let j(d) be the second derivative of d + 0*d**2 - 1/1080*d**6 + 0 + 0*d**5 + 1/18*d**4 - 2/3*d**3. Let o(n) be the second derivative of j(n). Factor o(a).
-(a - 2)*(a + 2)/3
Suppose 549/4*u + 39/2*u**2 + 216 - 3/4*u**3 = 0. Calculate u.
-3, 32
Let f(k) = 33*k**2 - k - 10. Let i be f(-2). Let d = -121 + i. Factor 4/13*j - 2/13*j**5 + 6/13*j**d - 10/13*j**2 + 0 + 2/13*j**4.
-2*j*(j - 1)**3*(j + 2)/13
Suppose 10 + 11 = 7*x. Factor 3 - 3*m**4 - 82*m**2 - 5 - m + m**x + 87*m**2.
-(m - 1)**2*(m + 1)*(3*m + 2)
Let i be (18/(-25))/(((-1464)/(-160) - 9)*-2). Find s, given that -156/5*s**2 - 16*s**3 - 72/5*s + 0 - i*s**4 = 0.
-3, -2/3, 0
Let n be 8*(27/(-12))/(-9). Factor 7*r**3 - n*r + r - 6*r**3.
r*(r - 1)*(r + 1)
Suppose 0 = 4*a - 4 - 16. Suppose -8*l - 44 = 9*l - 112. Determine s, given that 4/7*s**3 - 2/7*s**l - 2/7*s - 2/7*s**a + 4/7*s**2 - 2/7 = 0.
-1, 1
Solve 256/3 + 352*o**3 + 4612/3*o**2 + 64/3*o**4 + 704*o = 0.
-8, -1/4
Let v = 193/810 - -5/81. Let z(y) be the first derivative of 0*y - v*y**4 + 14/25*y**5 - 4 - 1/5*y**6 - 2/5*y**3 + 2/5*y**2. Find m, given that z(m) = 0.
-2/3, 0, 1
Let m(l) be the third derivative of l**6/1440 + l**5/240 + 25*l**3/6 + 24*l**2. Let p(i) be the first derivative of m(i). Factor p(h).
h*(h + 2)/4
Let t = 3213/3964 - 60/991. Factor t*j**2 + 6*j - 27/4.
3*(j - 1)*(j + 9)/4
Suppose 38 = -21*s + 80. Let w(g) be the second derivative of -2/3*g**s + 10*g + 1/9*g**3 + 0 + 1/18*g**4. Factor w(d).
2*(d - 1)*(d + 2)/3
Suppose 5*b = 2*s - 9, -22*b + 26*b + 8 = 2*s. Let a(d) be the first derivative of 1 - 3/2*d - 3/8*d**4 + 3/4*d**s + 1/2*d**3. Let a(p) = 0. What is p?
-1, 1
Let k(c) be the first derivative of -493039*c**4/4 + 12482*c**3 - 474*c**2 + 8*c + 16. Let k(s) = 0. Calculate s.
2/79
Let f(o) be the third derivative of o**6/40 + 21*o**5/20 + 99*o**4/8 - 121*o**3/2 + 166*o**2 + 2. Solve f(m) = 0 for m.
-11, 1
Suppose 0*b**3 - 4/5*b - 8/5*b**4 + 0 + 4/5*b**5 + 8/5*b**2 = 0. What is b?
-1, 0, 1
Let b be 63/(-105) - 6/(-10). Determine w, given that b*w**4 - 1/2*w**5 - 3