*f**2 - f**3 + f**2 + 4*f**3 = 0. What is f?
-2, -1, 0
Let u(k) be the third derivative of 0*k**4 + 0*k + 0 + 13*k**2 - 1/40*k**6 - 1/112*k**8 + 0*k**3 - 1/35*k**7 + 0*k**5. Solve u(v) = 0 for v.
-1, 0
Let i(b) be the second derivative of 0 + 1/3*b**4 - 4*b + 0*b**2 - 2/3*b**3. Factor i(c).
4*c*(c - 1)
What is v in 0 + 5000/7*v - 4800/7*v**2 - 2/7*v**4 - 198/7*v**3 = 0?
-50, 0, 1
Suppose -2*f + 3*d + 13 = 0, -9 = 4*f + 4*d - 5. Suppose 0 = f*r + 2*r - 10*r. Factor 2/3*t + r + t**2 + 0*t**3 - 1/3*t**4.
-t*(t - 2)*(t + 1)**2/3
Suppose 65*l = 67*l + 5*b + 34, b = 3*l - 17. Factor 40/7*j - 36/7*j**2 + 2*j**l - 2/7*j**4 - 16/7.
-2*(j - 2)**3*(j - 1)/7
Let g(a) be the first derivative of -a**6/120 + a**5/5 - 2*a**4 - 44*a**3/3 - 44. Let p(h) be the third derivative of g(h). Find s, given that p(s) = 0.
4
Let s(h) = -13*h**4 + 10*h**3 - 4*h**2 + 7*h - 7. Let d(w) = -11*w**4 + 9*w**3 - 4*w**2 + 6*w - 6. Let p(j) = 7*d(j) - 6*s(j). Factor p(n).
n**2*(n - 1)*(n + 4)
Let s(c) = c**2 - 2*c + 4. Let p be s(2). Factor 3*j**p + 141 + 6*j**5 - 141.
3*j**4*(2*j + 1)
Let a(p) be the third derivative of p**5/150 - p**4/15 - 7*p**3/5 - 2*p**2 - 55*p. Determine y, given that a(y) = 0.
-3, 7
Let y(w) be the second derivative of w**7/21 - 79*w**6/3 + 5227*w**5 - 1175725*w**4/3 + 4547665*w**3/3 - 2248091*w**2 - 3*w - 136. Factor y(p).
2*(p - 131)**3*(p - 1)**2
Let d be 6 + -2 - (-6)/(-3). Factor -20*f**d + 14 - 6 - 3 + 15*f.
-5*(f - 1)*(4*f + 1)
Let o(q) = -2*q - 5. Let d be o(-4). Suppose -4*a = -5*k - d, 1 - 2 = -2*a + 3*k. Find x such that -4*x**a + 3*x + 1 - 11*x - 6 + 1 = 0.
-1
Suppose 1713*y + 0*y**3 - 1793*y - 4*y**3 - 64 - 32*y**2 = 0. Calculate y.
-4, -2
Factor 0 + 0*w + w**3 + 4*w**2 - 1/2*w**4.
-w**2*(w - 4)*(w + 2)/2
Let n(l) = -l**5 - l**2 - 2*l - 1. Let a(f) = 3*f**5 + 8*f**4 - 4*f**3 - 3*f**2 + 16*f + 5. Let z(t) = -a(t) - 5*n(t). Factor z(d).
2*d*(d - 3)*(d - 1)**2*(d + 1)
Let t(p) be the third derivative of p**8/10080 + p**7/2268 + p**6/3240 - p**5/4 + 3*p**2. Let s(f) be the third derivative of t(f). Factor s(j).
2*(j + 1)*(9*j + 1)/9
Let w(t) be the first derivative of t**8/224 - t**7/210 - t**6/240 + 11*t**2/2 - 1. Let a(l) be the second derivative of w(l). Solve a(h) = 0 for h.
-1/3, 0, 1
Let m(q) = 122*q**2 + 8*q**3 - 40*q**2 - 46*q**2. Let d(y) = -y**3 - 4*y**2. Let j(h) = -28*d(h) - 3*m(h). Factor j(a).
4*a**2*(a + 1)
Let j = 27 + -22. Suppose d = -j*d + d. Factor 0*l - 4/3*l**2 + d - 2/3*l**3.
-2*l**2*(l + 2)/3
Let u(k) be the second derivative of -k**6/60 - k**5/120 - 5*k**2/2 - 12*k. Let i(h) be the first derivative of u(h). Find c, given that i(c) = 0.
-1/4, 0
Let z(h) = h**3 - h + 1. Let j = -15 - -16. Let t(w) = 2*w**3 - 27*w**2 - 86*w - 76. Let y(l) = j*t(l) - 5*z(l). Factor y(s).
-3*(s + 3)**3
Let q(c) = -10*c + 40. Let i be q(4). Let d(z) be the second derivative of 1/100*z**5 + 0 + 1/5*z**2 + i*z**4 - 1/10*z**3 + 5*z. Solve d(t) = 0.
-2, 1
Let y(n) be the first derivative of -33 - 6/55*n**5 + 3/22*n**4 + 0*n**2 + 0*n - 2/33*n**3 + 1/33*n**6. Solve y(b) = 0 for b.
0, 1
Let i = -14215 + 14217. Find k, given that 10/3*k**3 + 5/3*k**4 - 10/3*k + 0 - 5/3*k**i = 0.
-2, -1, 0, 1
Let a(r) be the second derivative of -r**8/588 + r**6/210 - 4*r**2 - 6*r. Let p(y) be the first derivative of a(y). Let p(q) = 0. What is q?
-1, 0, 1
Let k(u) be the first derivative of u**3 + 45*u**2/2 - 48*u + 215. Factor k(d).
3*(d - 1)*(d + 16)
Let d(f) = -2*f + 8. Let x be d(4). Let b be 1*(-2)/4*(0 + x). Factor 4/7*a + b - 6/7*a**2 + 2/7*a**3.
2*a*(a - 2)*(a - 1)/7
Suppose -33/5*d**3 - 192/5*d - 126/5*d**2 - 3/5*d**4 - 96/5 = 0. Calculate d.
-4, -2, -1
Let m(s) be the second derivative of 0 - 8*s - 1/4*s**4 + 6*s**3 - 54*s**2. Factor m(j).
-3*(j - 6)**2
Factor 590*v**5 - 64*v**2 - 300*v**5 - 12 - 292*v**5 - 4*v**4 + 36*v**3 + 46*v.
-2*(v - 1)**4*(v + 6)
Let y be (8/(-6))/(3/24)*(-2354)/4708. Factor 40/3*d**2 + 12*d**3 + 14/3*d**4 + 2/3*d**5 + y*d + 0.
2*d*(d + 1)*(d + 2)**3/3
Suppose 0 = -5*k - 0*k + 3*a, 5*k + 5*a = 40. Factor -j**k - 6*j + 5*j**2 - j**4 - 2*j + 5*j.
-j*(j - 1)**2*(j + 3)
Let u(d) be the second derivative of d**6/165 + 3*d**5/110 - 4*d**3/33 - 96*d. Let u(a) = 0. Calculate a.
-2, 0, 1
Suppose -7*w = -w - 36. Let b(y) = -y**4 + y**3 + 2*y**2 + 3*y - 3. Let c(k) = k**4 + k**3 - k + 1. Let m(v) = w*c(v) + 2*b(v). Factor m(i).
4*i**2*(i + 1)**2
Let v be (27/216)/(1/16). Let 2*m**2 + 2/3 - 2/3*m**3 - v*m = 0. Calculate m.
1
Suppose -6*g - 5*o = -g - 50, 5*o = g + 2. Let p be (-9*1/g)/((-9)/6). Suppose 1/4*q + p*q**3 - 1/4*q**4 - 3/4*q**2 + 0 = 0. What is q?
0, 1
Let l(m) be the second derivative of -25*m - 1/25*m**5 + 0 - 7/60*m**4 - 1/15*m**3 + 1/10*m**2. Factor l(q).
-(q + 1)**2*(4*q - 1)/5
Let b(c) be the first derivative of -3*c**5/35 + 3*c**4/2 - 7*c**3 - 229. Factor b(g).
-3*g**2*(g - 7)**2/7
Suppose -20 = -2*s - 8*s. Suppose -8 + 1286*b**s - 48 + 132*b - 1266*b**2 = 0. What is b?
-7, 2/5
Suppose 5*n - 2 = u - 17, -4*u + 18 = -6*n. Determine w so that 0 + 2/7*w**3 + 0*w + 4/7*w**4 + u*w**2 + 2/7*w**5 = 0.
-1, 0
Let t(j) be the second derivative of -j**5/20 + 7*j**4/12 - 2*j**3 + 20*j**2 - 8*j - 3. Let f be t(6). Factor 2/5*z**2 + 2/5*z**f + 6/5*z - 6/5*z**3 - 4/5.
2*(z - 2)*(z - 1)**2*(z + 1)/5
Let q(r) = 4*r**3 - 4*r**2 - 4*r + 4. Let c(j) = -j**3 + j**2 + j - 1. Let o(l) = 3*c(l) + q(l). Find x such that o(x) = 0.
-1, 1
Suppose -2*i + 3*r = -9, -4*i + 24 = -3*r + 9. Let m be -4 - (i + -10*1). Factor 0*a**m - 2/9*a**5 + 2/9*a - 4/9*a**2 + 4/9*a**4 + 0.
-2*a*(a - 1)**3*(a + 1)/9
Let q(g) be the second derivative of -g**4/20 + 6*g**3/5 - 81*g**2/10 + 159*g. Factor q(i).
-3*(i - 9)*(i - 3)/5
Let f(m) be the second derivative of -m**5/10 - 5*m**4/2 - 24*m**3 - 108*m**2 + 3*m + 3. Let f(r) = 0. What is r?
-6, -3
Let x(g) = -2*g**2 - g + 7. Let l(q) = q**2 + 2*q - 6. Let s(z) = -6*l(z) - 4*x(z). Factor s(p).
2*(p - 2)**2
Let t = -1 + 3. Let b be 66/10 + 11 + -14 + -3. What is a in 0*a**4 + 0*a + 3/5*a**5 + 0 - b*a**3 + 0*a**t = 0?
-1, 0, 1
Let p = 1184 - 1181. Let g(q) be the third derivative of 0 + 1/120*q**4 + 0*q + 8*q**2 - 1/600*q**6 + 0*q**5 + 0*q**p. Factor g(j).
-j*(j - 1)*(j + 1)/5
Let d(i) be the third derivative of -i**5/12 + 65*i**4/8 + 205*i**3/3 + 210*i**2. Factor d(s).
-5*(s - 41)*(s + 2)
Let c = 13/222 - -4/37. Let l(q) be the second derivative of -c*q**4 - 4*q**2 - 4/3*q**3 + 3*q + 0. Factor l(p).
-2*(p + 2)**2
Let a = 747/4 - 186. Suppose -2*j + 3*l = 3, -4*j + 0*l - 2*l + 18 = 0. Factor 0*x - a*x**4 + 0 + 3/4*x**5 - 3/2*x**j + 0*x**2.
3*x**3*(x - 2)*(x + 1)/4
Let u(o) = -4*o**2 + 12*o. Let v(j) = 4*j**2 - 12*j. Suppose m + 4*r + 4 = r, 0 = -5*m - 2*r + 19. Let s(d) = m*v(d) + 4*u(d). Determine q, given that s(q) = 0.
0, 3
Let t(l) be the third derivative of 11*l**2 + 1/6*l**4 + 0*l**3 - 1/7*l**7 + 0*l + 3/112*l**8 - 1/3*l**5 + 0 + 37/120*l**6. Solve t(w) = 0.
0, 2/3, 1
Let m = -1 - -3. Let l be 4/20*-3*-5. Factor p**2 - l + 6 - 2 + m*p.
(p + 1)**2
Let v = 413417/15 - 27583. Let c = 116/5 + v. Solve -8/9*n**3 - c*n**2 - 2/9 - 8/9*n - 2/9*n**4 = 0 for n.
-1
Let x be 0/((1 - (2 + -2)) + 0). Solve 0 + x*a**2 - 2/7*a**4 + 0*a + 4/7*a**3 = 0.
0, 2
Let s(y) be the second derivative of -9*y**5/50 - 19*y**4/15 - 44*y**3/15 - 8*y**2/5 - 44*y. Factor s(n).
-2*(n + 2)**2*(9*n + 2)/5
Let i(r) = 2*r**4 - 8*r**3 - 8*r**2 + 2*r + 6. Let k(n) = 2*n**4 - 7*n**3 - 8*n**2 + 3*n + 5. Suppose -4*p = -9*p + 30. Let w(l) = p*k(l) - 5*i(l). Factor w(x).
2*x*(x - 2)*(x - 1)*(x + 2)
Factor -357/4 - 27/4*v**2 - 387/4*v + 3/4*v**3.
3*(v - 17)*(v + 1)*(v + 7)/4
Let r(x) = 2*x**3 - x**2 + 2*x. Let b(f) = 3*f**3 - f**2 + 3*f. Suppose n = 2*q + 3, 9*n - 15 = 4*n + 5*q. Let d(w) = n*b(w) - 5*r(w). What is j in d(j) = 0?
0, 1
Suppose 5*x + 10*x = 4*x. Let v(z) be the second derivative of z**5 + 8/15*z**6 + 2/3*z**4 + 0 + 2/21*z**7 + 0*z**3 + x*z**2 - 2*z. Factor v(a).
4*a**2*(a + 1)**2*(a + 2)
Let w(d) be the first derivative of -d**6/48 - 3*d**5/5 - 41*d**4/8 - 109*d**3/12 + 165*d**2/16 + 121*d/4 - 220. Determine s so that w(s) = 0.
-11, -2, -1, 1
Let x = -26 - -40. Let n = -10 + x. Suppose -11*f**3 + 4*f**3 - 5*f**n + 16*f**5 - 8*f**2 + 27*f**3 + 49*f**4 = 0. Calculate f.
-2, -1, 0, 1/4
Let h(z) be the first derivative of z**5/60 - z**4/36 - z**3/9 + 11*z 