*4 - 6/5*g = 0.
-1, 1, 2
Suppose 6*f = -3*f + 18. Let k be -2*(1/8)/(-1). Factor k*l**f - 1/2 + 1/4*l.
(l - 1)*(l + 2)/4
Factor -3/2*t**3 - 1/2*t**2 - 3/2*t**4 + 0*t - 1/2*t**5 + 0.
-t**2*(t + 1)**3/2
Let p(b) be the third derivative of 1/35*b**7 + 1/20*b**6 + 0 + 1/30*b**5 + 0*b - b**2 + 0*b**4 + 1/168*b**8 + 0*b**3. Factor p(m).
2*m**2*(m + 1)**3
Suppose -157*l = -161*l + 16. Suppose 4/3*k - 2/3*k**l + 8/3*k**3 + 0 - 10/3*k**2 = 0. Calculate k.
0, 1, 2
Let v(b) = b - 6. Let s be v(8). Let 3/4*p**3 + 3/2*p**s + 0*p + 0 = 0. Calculate p.
-2, 0
Suppose 5*p = -3*a + 21, -12*p - 9 = -15*p. Suppose -3/4*b**a + 3/4 + 0*b = 0. Calculate b.
-1, 1
Let z(b) be the third derivative of b**5/120 + 5*b**4/12 + 25*b**3/3 + 5*b**2. Factor z(h).
(h + 10)**2/2
Let q(x) be the first derivative of 2*x**6/3 + 12*x**5/5 + 3*x**4 + 4*x**3/3 - 13. Suppose q(m) = 0. Calculate m.
-1, 0
Let x(o) = 0*o**2 + 11*o + 5*o**2 + 4 + 2 + 11*o**2. Let a(j) = 3*j**2 + 2*j + 1. Let h = -3 - -5. Let q(g) = h*x(g) - 11*a(g). Suppose q(r) = 0. Calculate r.
-1, 1
Find c, given that c**3 + 3*c - 1 - c**2 - 2*c**2 - c**3 + c**3 = 0.
1
Factor -18*k - 3 - 135/4*k**2 - 75/4*k**3.
-3*(k + 1)*(5*k + 2)**2/4
Let q = -2 - -2. Suppose 0*z = 8*z - 40. What is t in 0*t**3 + 2/3*t + q - 4/3*t**2 + 4/3*t**4 - 2/3*t**z = 0?
-1, 0, 1
Let m(p) be the second derivative of -p**6/15 + p**5/5 + p**4/2 - 4*p**3/3 - 4*p**2 - 11*p - 1. Factor m(q).
-2*(q - 2)**2*(q + 1)**2
Let p(a) be the first derivative of -a**7/63 + a**5/15 - a**3/9 + 2*a + 3. Let w(k) be the first derivative of p(k). Determine j so that w(j) = 0.
-1, 0, 1
Let d be -10 + 12 - 0/2. Suppose 8*g = 3*l + 3*g + 9, -5*g + 11 = -d*l. Suppose 1/3*i**l + 1/3*i - 1/3*i**3 - 1/3 = 0. What is i?
-1, 1
Let x(t) = -t**2 - 3. Let u be x(-3). Let v be 16/u*(-1)/4. Solve -g + 2/3*g**3 - v + 1/3*g**5 - 2/3*g**2 + g**4 = 0 for g.
-1, 1
Let m(c) = 1 + 4*c**2 - 2 + 0. Let y be m(-1). Factor g + 5 - y - 2 + 2 - g**2.
-(g - 2)*(g + 1)
Let m = 18 - 16. Let j(x) be the second derivative of -1/12*x**3 + 1/80*x**5 + 0*x**2 - m*x + 0 - 1/48*x**4. Let j(i) = 0. What is i?
-1, 0, 2
Suppose 0 = 4*l - 2*l. Let z(h) be the third derivative of 0*h**4 + l*h + 0*h**3 + 1/630*h**7 + 2*h**2 + 1/360*h**6 + 0 + 0*h**5. Factor z(q).
q**3*(q + 1)/3
Let r = -441 + 445. Factor -2/3*y + 8/3*y**r + 0 + 0*y**3 - 2*y**2.
2*y*(y - 1)*(2*y + 1)**2/3
Let i be (2 + -3 + 2)/3. Let t(c) be the first derivative of 1/12*c**4 + 1/3*c + 1/2*c**2 + 2 + i*c**3. What is j in t(j) = 0?
-1
Let d(y) = -27*y + 191. Let t be d(7). Factor 1/3*i**t + 2/3*i + 1/3.
(i + 1)**2/3
Factor -5*m**4 + 12 - 42*m**3 + 14*m**4 - 6*m + 69*m**2 - 32*m - 10*m.
3*(m - 2)*(m - 1)**2*(3*m - 2)
Suppose 0*g - 3*g + 6 = 0, 5*u = 5*g. Let o be 31/(-12) + 3 - (-4)/(-24). Let -o + 1/4*m**4 - 1/2*m + 0*m**u + 1/2*m**3 = 0. Calculate m.
-1, 1
Let m(t) be the second derivative of 0*t**3 - 1/30*t**4 + 0 + 0*t**2 - 1/50*t**5 - t. Factor m(z).
-2*z**2*(z + 1)/5
Let d(c) = c**2 - 3*c + 2. Let i be d(2). Suppose -2*n + 2 + 2 = i. Determine m, given that 2*m**4 + m**3 - 2*m - n*m - 2 + 3*m**3 = 0.
-1, 1
Let a be 4 - (-1 + 15/3). Let b(n) be the second derivative of 3/28*n**7 + 0*n**3 + 0 - 1/8*n**5 + 1/20*n**6 + 1/24*n**4 - n + a*n**2. Factor b(s).
s**2*(s + 1)*(3*s - 1)**2/2
Solve 4/3*m**4 + 0*m**2 + 8/3*m - 8/3*m**3 - 4/3 = 0 for m.
-1, 1
Let z(l) be the third derivative of -l**8/2184 + 2*l**7/1365 + l**6/780 - l**5/195 - 31*l**2. Find h, given that z(h) = 0.
-1, 0, 1, 2
Let p(m) be the third derivative of 4/3*m**3 - 3/2*m**4 + 0*m - 6*m**2 + 0 + 4/5*m**5 - 1/6*m**6. Factor p(y).
-4*(y - 1)**2*(5*y - 2)
Determine x so that -1/7*x**2 - 1/7*x + 2/7 = 0.
-2, 1
Let l(u) be the first derivative of -u**3/15 + 3*u**2/10 - 2*u/5 + 44. Factor l(w).
-(w - 2)*(w - 1)/5
Suppose 0*g + 6*g = g. Let 2/7*q + g + 2/7*q**2 = 0. Calculate q.
-1, 0
Let j(r) be the second derivative of -r**5/60 + r**4/36 + r**3/9 - r. Factor j(x).
-x*(x - 2)*(x + 1)/3
Let b be (-4)/(-14) + (-4220)/(-28). Let r = b + -1357/9. Let -2/9*n - r*n**2 + 2/9 + 2/9*n**3 = 0. Calculate n.
-1, 1
Let o(s) = -12*s**4 + 18*s**3 + 8*s**2 - 16*s + 4. Let d(t) = -t**4 + t**2 - t. Let x(j) = 2*d(j) + o(j). Find n such that x(n) = 0.
-1, 2/7, 1
Let o be 2/3*(-99)/(-22). Determine z so that -2*z**2 + 2/3*z**o + 8/3 + 0*z = 0.
-1, 2
Let p = -295 + 298. Factor 0 - 2/7*w + 4/7*w**2 - 2/7*w**p.
-2*w*(w - 1)**2/7
Factor -2/5*c + 2/5*c**3 + 0 + 0*c**2.
2*c*(c - 1)*(c + 1)/5
Let -8/5*j**2 - 4*j + 4/5*j**3 + 24/5 = 0. Calculate j.
-2, 1, 3
Let b(i) = -i**3 + 5*i**2 + 6*i - 8. Let p be b(6). Let t be (-18)/p - (-3)/(-12). Find q such that -8 + 4*q - 4*q**3 + 4*q + 6*q**t - 3*q**4 + q**4 = 0.
-2, 1
Let h(p) be the first derivative of p**6/80 + p**5/20 + p**4/16 + p**2/2 - 1. Let b(o) be the second derivative of h(o). Factor b(c).
3*c*(c + 1)**2/2
Let c(x) = -2*x**3 - 3*x**2 - 13*x. Let f(s) = s**3 + 2*s**2 + 6*s. Let h(r) = 2*c(r) + 5*f(r). Solve h(i) = 0 for i.
-2, 0
Let r(u) = -35*u**2 + 11*u. Let m(k) = -k. Let y(i) = -m(i) - r(i). Find f such that y(f) = 0.
0, 2/7
Let z(w) be the first derivative of -w**6 + 2*w**5/5 + 5*w**4/6 + 2*w**3/9 + 5. Let z(r) = 0. What is r?
-1/3, 0, 1
Suppose -3*m - 9 + 0 = 5*k, -11 = 3*k - m. Let a be k + 9*(-4)/(-6). Determine h, given that -2/3*h**a + 4/3 + 0*h**2 + 2*h = 0.
-1, 2
Let p(v) be the third derivative of v**5/5 + v**4/3 + 58*v**2. Solve p(o) = 0.
-2/3, 0
Let j(t) be the third derivative of 0*t + 5*t**2 + 1/132*t**4 + 0*t**3 + 0 + 1/110*t**5. Solve j(x) = 0.
-1/3, 0
Factor -8/9*n + 8/9*n**3 + 2/9*n**4 - 2/3 + 4/9*n**2.
2*(n - 1)*(n + 1)**2*(n + 3)/9
Let l(y) be the first derivative of 3*y**7/140 + 11*y**6/120 + 3*y**5/20 + y**4/8 - y**3/3 + 5. Let x(n) be the third derivative of l(n). Factor x(b).
3*(b + 1)*(2*b + 1)*(3*b + 1)
Let i = 9 - 6. Let h**2 - 2 + 17*h - i*h**2 - 21*h = 0. What is h?
-1
Let -2/7*w**3 + 8/7*w**2 - 36/7 + 6/7*w = 0. What is w?
-2, 3
Let i(x) be the third derivative of -1/180*x**5 - 1/72*x**4 + 0 + 6*x**2 + 1/360*x**6 + 0*x + 1/18*x**3. Factor i(g).
(g - 1)**2*(g + 1)/3
Let d(l) be the third derivative of l**8/224 - l**7/35 + 3*l**6/80 + l**5/10 - l**4/4 + 3*l**2. What is x in d(x) = 0?
-1, 0, 1, 2
Let n(f) = f**3 + f**2 - f + 3. Let c be n(0). Let p be c*(9/(-3))/(-27). Factor 0*z + 0*z**3 + 1/3*z**4 - p*z**2 + 0.
z**2*(z - 1)*(z + 1)/3
Let z(g) = -2*g**2 - 13*g - 29. Let v(u) = 6*u**2 + 38*u + 86. Let t(l) = 3*v(l) + 10*z(l). Let t(h) = 0. Calculate h.
-4
Let g be (-1)/6 - (4 - 25/6). Let t(j) be the second derivative of -2/5*j**2 - j - 1/30*j**4 + g - 1/5*j**3. Find m, given that t(m) = 0.
-2, -1
Determine x so that 4/3*x**3 + 12*x**2 + 8/3 - 12*x - 4*x**4 = 0.
-2, 1/3, 1
Suppose 20*m - 22*m + 20 = 0. Factor 12*i**2 + m*i**3 - 72/5*i + 16/5.
2*(i + 2)*(5*i - 2)**2/5
Let u(a) = a - 1. Let n be u(5). Factor 2*c**2 - 4*c**2 + c + 5*c - n*c.
-2*c*(c - 1)
Find u such that -8*u**2 + 7*u + 21*u**4 - u - 6*u**4 - 18*u**3 - 19*u**2 = 0.
-1, 0, 1/5, 2
Let i(k) be the first derivative of -2*k**5/35 - k**4/7 + 2*k**3/7 + 8*k**2/7 + 8*k/7 + 3. Let i(d) = 0. What is d?
-2, -1, 2
Let w = -10 - -10. Let n(z) be the second derivative of 1/80*z**5 + 0 + 1/120*z**6 - 3*z + w*z**2 + 0*z**4 + 0*z**3. Find x, given that n(x) = 0.
-1, 0
Let j(v) be the third derivative of 1/70*v**5 + 0*v + 1/735*v**7 + 1/140*v**6 + 1/84*v**4 + 0 + 0*v**3 - 3*v**2. Factor j(f).
2*f*(f + 1)**3/7
Let f(t) be the second derivative of -t**4/12 - t**3/6 + t**2/2 + t. Let v(a) = -6*a**2 - 8*a + 3. Let p(k) = -5*f(k) + v(k). Factor p(z).
-(z + 1)*(z + 2)
Let d(j) be the second derivative of -j**4/48 - 5*j**3/12 - 25*j**2/8 + 3*j. Determine x so that d(x) = 0.
-5
Let j(k) = -k**2 + 1. Let p(m) = 6*m**2 - 9*m - 3. Let h(f) = f**2 - 8*f + 12. Let r be h(5). Let b(d) = r*j(d) - p(d). Suppose b(u) = 0. Calculate u.
0, 3
Let v = 54/5 + -10. Let w = -334 + 1676/5. Factor -2/5*q**2 - w*q - v.
-2*(q + 1)*(q + 2)/5
Factor -30 - 6*n**2 + 0*n**2 + 2*n**2 + 7*n**2 - 27*n.
3*(n - 10)*(n + 1)
Let x(v) be the third derivative of 0*v + 1/3*v**4 + 0 + 1/60*v**6 + 2/15*v**5 + 0*v**3 - 6*v**2. Let x(r) = 0. What is r?
-2, 0
Suppose -v = -3 - 4. Suppose -4*z - 13 - v = -4*a, -z = -3*a + 5. Let -1/2*q**2 - 3/4*q**4 - 5/4*q**3 + 0 + a*q = 0. What is q?
-1, -2/3, 0
Let g(s) be the third derivative