c**2 - 8/3*c**3 - 4/3*c**4 - 1/15*c**6 + 0. Factor h(m).
-(m + 2)**4
Let v(t) be the first derivative of 6*t**5/5 - 2*t**4 - 10*t**3/3 + 2*t**2 - 7. Factor v(i).
2*i*(i - 2)*(i + 1)*(3*i - 1)
Let g(m) be the second derivative of -m**5/50 + m**4/10 - m**3/5 + m**2/5 + 24*m. Factor g(k).
-2*(k - 1)**3/5
Factor -2*z - 378*z**3 + 186*z**3 + 2*z**5 + 192*z**3 + 4*z**4 - 4*z**2.
2*z*(z - 1)*(z + 1)**3
Find m such that m**4 + 0*m**4 + 42*m**3 - 36*m**3 + m**4 = 0.
-3, 0
Let a(o) be the third derivative of o**7/20 - 2*o**6/45 - o**5/15 - o**3/3 - 4*o**2. Let j(v) be the first derivative of a(v). Factor j(z).
2*z*(3*z - 2)*(7*z + 2)
Suppose -3*z + 29 = 2. Suppose -2*y + z = y. Factor 0*x**y + 0 + 2/7*x - 2/7*x**5 - 4/7*x**4 + 4/7*x**2.
-2*x*(x - 1)*(x + 1)**3/7
Let l(i) be the second derivative of -i**5/15 - i**4/3 - 4*i**3/9 - 8*i. Find a such that l(a) = 0.
-2, -1, 0
Let y = 171 + -93. Let l be (y + -1)*(-12)/(-14). Factor -l - 43*k**3 - 5*k**3 + 18 + 17*k**2 - 3*k**5 + 48*k + 7*k**2 + 21*k**4.
-3*(k - 2)**4*(k + 1)
Let u be 2/8 + (-22)/(-8). Suppose 1 + 14 = 5*c. Let -14*x**2 - x**u - 4*x + 3*x**3 - 14*x**c = 0. What is x?
-2/3, -1/2, 0
Let x be (-13)/(-3) + (-2)/6. Factor -5*m - 9*m**2 + 3*m**x + 8*m + 3*m.
3*m*(m - 1)**2*(m + 2)
Suppose -6 = -2*r, 0 = -3*w + 2*r - 3*r + 99. Let s be (-1)/(4/(w/(-20))). Suppose -s*k**3 - 6/5*k - 6/5*k**2 - 2/5 = 0. What is k?
-1
Let f(p) be the third derivative of p**5/210 - p**4/42 + p**3/21 + 4*p**2. Let f(m) = 0. Calculate m.
1
Let n(s) be the second derivative of -s**5/30 - s**4/9 - s**3/9 - 16*s. Factor n(g).
-2*g*(g + 1)**2/3
Let k(n) be the second derivative of -n**6/165 + 3*n**5/110 - n**4/22 + n**3/33 + 5*n. Factor k(a).
-2*a*(a - 1)**3/11
Let p(g) be the third derivative of 0 + 0*g - 1/4*g**4 - 2/3*g**3 - 1/30*g**5 - g**2. Let p(h) = 0. Calculate h.
-2, -1
Let m(z) be the third derivative of z**7/70 + z**6/10 + z**5/4 + z**4/4 - 27*z**2. Factor m(o).
3*o*(o + 1)**2*(o + 2)
Let g(h) = -h**3 + 1. Suppose 5*x = 13*x - 128. Let d(o) = -20*o**3 + 4*o**2 + 4*o + 12. Let i(v) = x*g(v) - d(v). Suppose i(u) = 0. Calculate u.
-1, 1
Find x, given that -5/2*x - 3/2*x**3 - 3/4 - 1/4*x**4 - 3*x**2 = 0.
-3, -1
Let u(t) be the second derivative of 8/7*t**3 - 15/14*t**4 - 4/7*t**2 + 0 + 5/14*t**5 + t. Determine w, given that u(w) = 0.
2/5, 1
Let k(q) be the first derivative of 5*q**3/3 + 5*q**2 + 11*q - 1. Let r(u) = u**2 + 2*u + 2. Let h(x) = -2*k(x) + 11*r(x). Factor h(w).
w*(w + 2)
Let u(t) be the third derivative of -t**6/30 - 11*t**5/60 - 5*t**4/24 + t**3/3 + 7*t**2. Suppose u(s) = 0. What is s?
-2, -1, 1/4
Suppose -5*b - 3*r - 62 = 0, -r - 22 = 4*b + 22. Let i be ((-12)/10)/(4/b). Solve -2*f**3 + 2*f + 3*f**3 - i*f = 0.
-1, 0, 1
Let s be ((-91)/(-14) + 1)*10/6. Suppose -4*p + 143 = u, 0*u = 3*u - 9. Factor p*j**2 - 22*j - s*j**3 + 4.
-(j - 2)*(5*j - 2)**2/2
Determine y, given that 2/3*y + 2/9 + 2/9*y**3 + 2/3*y**2 = 0.
-1
Let m(j) be the first derivative of -2*j**3/27 + 2*j/9 + 3. Factor m(q).
-2*(q - 1)*(q + 1)/9
Suppose 3*r = -4*q - 12, -5*q + 9 = -8*q. Factor 0 - 2/3*w**3 + r*w - w**4 + 0*w**2 - 1/3*w**5.
-w**3*(w + 1)*(w + 2)/3
Factor -80*p**3 - 4*p**5 - 64*p + 13*p**3 - 65*p**3 + 160*p**2 + 40*p**4.
-4*p*(p - 4)**2*(p - 1)**2
Let g be 18/(-12)*(-56)/6. Determine t so that -6*t - g*t**2 - 6*t + t - 8 - 21*t = 0.
-2, -2/7
Let o be (-5 + 7)*-1 + 7. Let k(i) be the third derivative of 2/3*i**4 + 4/3*i**3 + 1/6*i**o - 2*i**2 + 0 + 0*i + 1/60*i**6. Factor k(l).
2*(l + 1)*(l + 2)**2
Let b(j) = -2*j + 7. Let i be b(5). Let f = i + 5. Suppose 0*w + 2/7 - 2/7*w**f = 0. What is w?
-1, 1
Let z(p) = p**3 - 6*p**2 - p. Let l be z(6). Let h be 27/l*12/(-18). Factor -10/7*u**5 + 0 - 24/7*u**h - 4*u**4 - 4/7*u**2 + 2/7*u.
-2*u*(u + 1)**3*(5*u - 1)/7
Let y(d) be the third derivative of -1/672*d**8 + 0*d + 0*d**5 + 0*d**3 + 0 + 1/140*d**7 + 3*d**2 - 1/120*d**6 + 0*d**4. Find t such that y(t) = 0.
0, 1, 2
Let v(s) be the second derivative of 4*s**4 + 0 + 8/3*s**3 + 4/5*s**6 + 0*s**2 + 2/21*s**7 + 13/5*s**5 - 7*s. Suppose v(z) = 0. Calculate z.
-2, -1, 0
Let k(n) be the second derivative of -n**6/105 + 3*n**5/70 + n**4/14 - 11*n**3/21 + 6*n**2/7 + 14*n. Let k(a) = 0. What is a?
-2, 1, 3
Let k = -167/24 + 57/8. Let s(c) be the second derivative of 0 - 5*c - k*c**3 + 1/20*c**5 + 1/2*c**2 - 1/12*c**4. Factor s(f).
(f - 1)**2*(f + 1)
Suppose 3*u = 2*z - 4, -4*u - u + 4 = 2*z. Suppose -1 - 1/2*m + 1/2*m**z = 0. Calculate m.
-1, 2
Let t(m) = 5*m - 18. Let r be t(4). Let n(g) be the first derivative of 5/4*g**2 + 1/3*g**3 - r + g. Find a such that n(a) = 0.
-2, -1/2
Let f(h) = h - 1. Let q(w) = -4*w**2 - 54*w - 46. Let b(k) = -2*f(k) - q(k). Solve b(i) = 0.
-12, -1
Factor 0*b + 14/3*b**3 + 0 + 2/3*b**5 + 10/3*b**4 + 2*b**2.
2*b**2*(b + 1)**2*(b + 3)/3
Let z(y) be the first derivative of -y**3/2 - 3*y**2 - 6*y - 46. Factor z(t).
-3*(t + 2)**2/2
Factor 32*y + 26/3*y**2 + 2/3*y**3 + 24.
2*(y + 1)*(y + 6)**2/3
Let -32*r + 4*r**5 + 3*r**2 - 21*r**4 + r**2 + r**4 + 28*r**3 + 16 = 0. What is r?
-1, 1, 2
Let m(x) be the first derivative of x**5/15 + x**4/12 - x**3/9 - x**2/6 + 3. Let m(y) = 0. What is y?
-1, 0, 1
Let t(n) = n**3 - 5*n**2 + 3*n - 5. Let i be t(5). Suppose -5*k - 3*u - i = -8*u, -4*u + 23 = k. Solve -8 - k*x - 2*x**2 - 3*x - 2*x = 0 for x.
-2
Let t(k) = -3*k**2 - 12*k - 20. Let r(o) = 2*o**2 + 8*o + 13. Let z(b) = 8*r(b) + 5*t(b). Solve z(w) = 0 for w.
-2
Factor -194*q + 197*q + 28*q**2 - 10*q**2.
3*q*(6*q + 1)
Let r(h) be the first derivative of 2*h**5/5 + h**4 - 2*h**3/3 - 2*h**2 + 28. Find x, given that r(x) = 0.
-2, -1, 0, 1
Let o be 4/10*(1 - -4). Suppose 4*s - 38 = -4*j - o, -5*s + j + 33 = 0. Factor -4*x - s*x**3 + 5*x**3 + 6*x.
-2*x*(x - 1)*(x + 1)
Let v be (6/(-9))/((-32)/96). Suppose 0 - 4/3*x**v + 2/3*x = 0. Calculate x.
0, 1/2
Suppose o - 5*c = 23 - 8, -4*o + 2*c + 6 = 0. Let u be -2 - 140/(-24) - 1/(-6). Factor 0*h**2 + o*h - 2/5*h**u + 2/5*h**5 + 0*h**3 + 0.
2*h**4*(h - 1)/5
Let y be (-2)/1 + 0 + -2. Let j be (-3)/2 + (-26)/y. Let 0*x**3 + x**4 + 2*x**j + 2*x**2 - 4*x**4 + x**4 - 2*x**3 = 0. What is x?
-1, 0, 1
Suppose f = 3 + 1. Let n be (10/4 - 2)*6. Factor 11*p**3 + 0*p**4 - 2*p**f - 13*p**n.
-2*p**3*(p + 1)
What is s in 0*s**4 + 3*s**5 + 0*s**5 + 0*s**2 + 3*s**2 - 3*s**4 - 3*s**3 = 0?
-1, 0, 1
Let c(m) be the first derivative of 7*m**5/10 + m**4/8 - 7*m**3/6 - m**2/4 - 35. Factor c(l).
l*(l - 1)*(l + 1)*(7*l + 1)/2
Let y(a) be the second derivative of a**6/50 - a**4/10 + 3*a**2/10 + 2*a. Solve y(k) = 0 for k.
-1, 1
Let m(c) be the second derivative of c**7/147 + c**6/35 + c**5/35 - c**4/21 - c**3/7 - c**2/7 - 3*c. Let m(l) = 0. Calculate l.
-1, 1
Let i(p) be the first derivative of 2 + 1/12*p**4 + 1/60*p**5 + 0*p + 1/6*p**3 + p**2. Let z(d) be the second derivative of i(d). Factor z(u).
(u + 1)**2
Let l(t) be the third derivative of -t**7/420 + t**5/60 + t**3/3 - 4*t**2. Let w(p) be the first derivative of l(p). Factor w(k).
-2*k*(k - 1)*(k + 1)
Let l(k) = -k**5 - k**4 + k**3 - k. Let c(a) = 12*a**5 + 22*a**4 - 58*a**3 + 52*a**2 - 8*a. Let x(u) = 2*c(u) + 20*l(u). Solve x(t) = 0.
-9, 0, 1
Factor 35*h**3 + h**2 + 10 - 48*h + 13*h + 0*h**2 - 11*h**2.
5*(h - 1)*(h + 1)*(7*h - 2)
Let w(k) be the second derivative of -k**5/20 - k**4/2 + k**3/6 + 3*k**2 + 22*k. Factor w(m).
-(m - 1)*(m + 1)*(m + 6)
Let g(l) be the first derivative of -l**6/6 + l**5/5 + 3*l**4/4 - 5*l**3/3 + l**2 + 5. Determine h so that g(h) = 0.
-2, 0, 1
Let t(o) be the second derivative of -3*o**6/10 + 6*o**5/5 - 7*o**4/4 + o**3 - 21*o. Find k such that t(k) = 0.
0, 2/3, 1
Let z(f) be the second derivative of f**7/231 + f**6/165 - f**5/110 - f**4/66 - 6*f. Factor z(t).
2*t**2*(t - 1)*(t + 1)**2/11
Let y be (-46)/(-6) + 1/3. Suppose 5*x - 38 + y = 0. Let -2*d**3 - d - x*d**2 - 2 - 5*d + 0 = 0. What is d?
-1
Suppose -2*a + 6 + 2 = 0. Let x be -3*((-4)/9)/a. Factor 0*j + 0*j**2 + x*j**4 + 0*j**3 + 1/3*j**5 + 0.
j**4*(j + 1)/3
Let q(b) be the second derivative of 0 + b**2 + 2*b + 1/28*b**4 - 2/21*b**3 - 1/210*b**5. Let k(j) be the first derivative of q(j). Factor k(u).
-2*(u - 2)*(u - 1)/7
Let y(u) = 14*u**3 + 9*u**2 + 5*u. Let l = -4 - -9. Let x(h) = -14*h**3 - 10*h**2 - 6*h. Let g(m) = l*x(m) + 6*y(m). Factor g(c).
2*c**2*(7*c + 2)
Let b(j) be the 