 Let b(c) be the first derivative of s(c). Factor b(h).
2*h*(h - 1)**2*(h + 1)/5
Suppose 27*a - 5 = 26*a. Let c(x) be the third derivative of 0 + 0*x**3 + 1/150*x**a - 1/30*x**4 + 0*x + x**2. Let c(k) = 0. Calculate k.
0, 2
Factor 0 - 2/3*m**2 - 1/3*m - 1/3*m**3.
-m*(m + 1)**2/3
Let q(v) be the third derivative of 3*v**6/20 - 2*v**5/3 + 13*v**4/12 - 2*v**3/3 + 47*v**2. Factor q(j).
2*(j - 1)**2*(9*j - 2)
Let h(v) be the first derivative of -3*v**4/28 - 15*v**3/7 - 225*v**2/14 - 375*v/7 - 17. Solve h(z) = 0.
-5
Let n = -9 - -15. Let -7*v**2 - 4*v - 7*v**2 + 4 + n*v**2 = 0. What is v?
-1, 1/2
Let h(o) be the second derivative of -3*o**5/160 + 3*o**4/32 + o**3/4 + 2*o. Factor h(a).
-3*a*(a - 4)*(a + 1)/8
Suppose c + 49 = -3*o, 3*c - 5*c - 118 = -4*o. Let f be (-10)/(-6)*(-22)/c. Solve 0 + 2/3*g**3 - 4/3*g**2 + f*g = 0 for g.
0, 1
Let n be (8/12)/((-2)/(-6)). Factor 3/8 - 3/8*p + 3/8*p**3 - 3/8*p**n.
3*(p - 1)**2*(p + 1)/8
Let f = -315 - -635/2. Let m be -2*1*4/(-8). Find i, given that -f*i + i**2 + m = 0.
1/2, 2
Let y = -143/6 - -739/30. Suppose 1 = 5*b - 5*l + 11, 22 = 5*b + 3*l. Solve 1/5*o**b + y*o + 4/5 = 0 for o.
-2
Let q(v) be the second derivative of -1/42*v**4 + 2*v + 2/21*v**3 + 0 + 0*v**2. Factor q(o).
-2*o*(o - 2)/7
Let y(o) be the third derivative of o**5/20 - o**4/8 - 11*o**2. Factor y(t).
3*t*(t - 1)
Let q(m) be the first derivative of m**7/525 + m**6/300 - m**5/150 - m**4/60 + m**2/2 - 2. Let r(n) be the second derivative of q(n). Factor r(x).
2*x*(x - 1)*(x + 1)**2/5
Let j(a) be the first derivative of -a**4/24 - a**3/6 - a**2/4 - 2*a + 3. Let q(i) be the first derivative of j(i). Factor q(p).
-(p + 1)**2/2
Let b(f) be the third derivative of 0*f + 0 + 1/30*f**5 - 1/6*f**4 + 1/3*f**3 - 2*f**2. Factor b(a).
2*(a - 1)**2
Let a = 1/177 + 349/885. Factor a*u**2 + 6/5*u + 4/5.
2*(u + 1)*(u + 2)/5
Solve -4/3*b**3 + 4/3*b**2 + 2/3*b - 2/3*b**4 - 2/3 + 2/3*b**5 = 0.
-1, 1
Suppose -35 = -7*f + 2*f. Suppose 12*j**3 + 6*j**4 - 4*j**2 + f*j**2 - 3*j**3 = 0. What is j?
-1, -1/2, 0
Let s(w) be the first derivative of 0*w - 6 + 21/4*w**4 - 23*w**3 + 9*w**2. Find p, given that s(p) = 0.
0, 2/7, 3
Let u(f) be the first derivative of 4*f**3/3 + 4*f**2 - 5. Let u(i) = 0. What is i?
-2, 0
Let x = -12 - -12. Let q(s) be the second derivative of 1/6*s**4 + x - 1/3*s**2 + 2/9*s**3 + s. Factor q(b).
2*(b + 1)*(3*b - 1)/3
Let v(p) be the first derivative of -2*p**5/55 - 2*p**4/11 - 10*p**3/33 - 2*p**2/11 - 5. Factor v(s).
-2*s*(s + 1)**2*(s + 2)/11
Suppose -2*z - 4*t = 8, -2*z + 0*z = t + 2. Let p(i) be the second derivative of 16/9*i**3 + 49/60*i**5 + z + 77/36*i**4 + 2/3*i**2 - 2*i. Factor p(n).
(n + 1)*(7*n + 2)**2/3
Suppose 66*m + 3 = 67*m. Factor -3/2*d**5 + 0 + 3/2*d**m + 0*d + 3/2*d**2 - 3/2*d**4.
-3*d**2*(d - 1)*(d + 1)**2/2
Let k(h) be the first derivative of 0*h + 1/4*h**4 + 7 + 1/2*h**2 + 2/3*h**3. Let k(j) = 0. What is j?
-1, 0
Suppose 3*z - 9 + 0 = 0. Let p be -2 + z + 3/3. Let -l**3 + 4*l**p - l**4 - l**2 - l**2 = 0. What is l?
-2, 0, 1
Let y be (-3 - 15/(-6)) + 3/6. Let u be 1/2*4/7. Suppose y*p - 4/7*p**3 + 0 - u*p**4 - 2/7*p**2 = 0. What is p?
-1, 0
Let j(d) = d**3 - 6*d**2 - 4*d + 2. Let m(r) = 4*r**3 - 19*r**2 - 12*r + 7. Let x(z) = 7*j(z) - 2*m(z). Determine t so that x(t) = 0.
-2, 0
Let v be (-3)/22*(20/(-15) + 0). Factor 4/11*d**2 + 2/11*d**3 - v*d - 4/11.
2*(d - 1)*(d + 1)*(d + 2)/11
Let l = 93/188 + 12/47. Let a(c) be the second derivative of l*c**2 + 0 - 2*c - 1/16*c**4 + 1/8*c**3. Factor a(i).
-3*(i - 2)*(i + 1)/4
Let d(c) be the third derivative of -c**7/1575 - c**6/450 + c**5/450 + c**4/90 + 2*c**2 - 17*c. Solve d(v) = 0 for v.
-2, -1, 0, 1
Let l(c) be the second derivative of -c**4/30 + c**3/5 - 5*c. What is w in l(w) = 0?
0, 3
Let j(n) = n**3 - 4*n**2 - 4*n - 3. Let p be j(5). Factor 2 - 3*d**2 + d**p - 2*d**3 + 8*d**2 - 6*d.
-2*(d - 1)**3
Let k(f) be the first derivative of -3*f**4/4 - f**3 + 6. What is r in k(r) = 0?
-1, 0
Let g(f) = f**3 + f. Let l be g(0). Let r be (-56)/(-240) + 2/12. Factor -2/5*p**3 + 2/5*p**5 + r*p**2 + l*p + 0 - 2/5*p**4.
2*p**2*(p - 1)**2*(p + 1)/5
Let g(k) be the first derivative of 0*k + 7*k**3 - 21/5*k**5 - 3*k**2 + 5/2*k**6 - 9/4*k**4 + 1. Let g(z) = 0. What is z?
-1, 0, 2/5, 1
What is u in 5 - 24/5*u**2 - 1/5*u**4 + 2*u - 2*u**3 = 0?
-5, -1, 1
Let o(a) be the third derivative of 0*a + 1/18*a**4 - 1/90*a**5 + 3*a**2 + 0 + 0*a**3. Determine u so that o(u) = 0.
0, 2
Let b(u) = 6*u**4 + 7*u**2 - 2*u**3 - 13*u**4 + 2*u + 0*u - 9. Let d(l) = 3*l**4 + l**3 - 3*l**2 - l + 4. Let p(k) = 4*b(k) + 9*d(k). Find s such that p(s) = 0.
-1, 0, 1
Let n be ((-3)/18)/((-1)/4). Let y(t) be the first derivative of n*t**3 + t**2 - 1/2*t**4 - 3 - 2*t. Suppose y(j) = 0. Calculate j.
-1, 1
Let g(r) be the first derivative of r**6/810 - r**5/540 - 4*r**3/3 - 4. Let c(o) be the third derivative of g(o). Factor c(w).
2*w*(2*w - 1)/9
Let d(b) be the first derivative of b**3/6 + 3*b**2/4 + b + 4. Determine x so that d(x) = 0.
-2, -1
Let u(h) be the third derivative of h**6/150 - 2*h**5/75 + h**4/30 + 16*h**2. Factor u(i).
4*i*(i - 1)**2/5
Let j be (-161)/(-28) + 3/12. Let a(l) be the second derivative of 0*l**3 + 1/3*l**4 + 3/10*l**5 + l + 1/15*l**j + 0 + 0*l**2. Solve a(u) = 0.
-2, -1, 0
Let o = -24 - -12. Let f = o - -19. Suppose -5*d**3 - d**4 - d**2 + 0*d**3 + f*d**3 = 0. What is d?
0, 1
Solve -9/4*j**2 - 27/2*j - 27 - 1/8*j**3 = 0 for j.
-6
Let p = -346/35 - -72/7. Let c = -423/5 + 85. Factor c*z**2 + 0*z - p.
2*(z - 1)*(z + 1)/5
Suppose 6*i + 5*m = 3*i + 19, 8 = 4*i - 2*m. Factor -1/5*k**i - 3/5*k**2 - 3/5*k - 1/5.
-(k + 1)**3/5
Let y(k) be the third derivative of 0*k**4 + 0*k + 0*k**6 - 1/150*k**5 + k**2 + 0 + 1/1050*k**7 + 1/30*k**3. Factor y(u).
(u - 1)**2*(u + 1)**2/5
Suppose -4*c + 3 = -1. Let -1 - 2*s**2 - c - 4*s + 0*s**2 + 0*s**2 = 0. Calculate s.
-1
Let o be (-4)/(-14) - (-36)/21. Factor -2*k - 6*k**o + 5*k**2 - 7*k + 4*k**2.
3*k*(k - 3)
Let j(k) = 2*k - 6. Let h be j(4). Factor -2/9*n**4 + 2/9*n**3 - 2/9*n + 2/9*n**h + 0.
-2*n*(n - 1)**2*(n + 1)/9
Let r(a) be the third derivative of a**8/336 - a**6/60 + a**4/24 + 11*a**2. Factor r(h).
h*(h - 1)**2*(h + 1)**2
Let a be ((-44)/(-220))/((-2)/(2*-1)). Let i = 13/15 - 2/3. Factor a*y**2 + 1/5*y**3 - i - 1/5*y.
(y - 1)*(y + 1)**2/5
Let o = -1339/20 - -67. Let g(w) be the third derivative of 0*w - 3/8*w**4 - 4*w**2 - 3/2*w**3 - 1/360*w**6 - o*w**5 + 0. Find i, given that g(i) = 0.
-3
Let b = -375/14 + 27. Let z = b + -1/70. Factor 2/5*j**3 - 2/5*j + 0*j**2 + z - 1/5*j**4.
-(j - 1)**3*(j + 1)/5
Suppose -9*k = -0*k + 18. Let f be (-207)/46*4/k. Suppose -6/5 + f*r - 48/5*r**3 - 72/5*r**2 = 0. Calculate r.
-2, 1/4
Factor -3*s**5 + 2*s**5 - 15*s**3 + 10*s - 5*s**4 + 6*s**5 + 5*s**2.
5*s*(s - 2)*(s - 1)*(s + 1)**2
Let w(x) = -x**3 + 2*x**2 + 2*x - 2. Suppose -t = 8 + 10. Let l(q) = -5*q**3 + 9*q**2 + 9*q - 9. Let z(m) = t*w(m) + 4*l(m). Factor z(d).
-2*d**3
Let g(v) = -4*v**3 + 2*v**2 - 5*v + 1. Let j(o) = -7*o**3 + 5*o**2 - 11*o + 3. Let w(x) = -10*g(x) + 6*j(x). Find c such that w(c) = 0.
1, 2
Let i be ((-6)/42)/(1/(-2)). Let r be (-1)/5 + 34/70. Factor -i*a**3 - r + 2/7*a**2 + 2/7*a.
-2*(a - 1)**2*(a + 1)/7
Let m(s) = -1. Let r(k) = k**2 + 7*k - 3. Let o(n) = 3*m(n) + r(n). Let z be o(-8). Factor 2/3*j - 8/3*j**z + 2/3*j**5 + 0 + 4*j**3 - 8/3*j**4.
2*j*(j - 1)**4/3
Let m = 1 - -1. Let -2*v**2 + 0*v**3 - m*v**4 + 3*v**3 + 2*v**3 - v**3 = 0. Calculate v.
0, 1
Let q(m) be the first derivative of 0*m**2 + 0*m + 1/4*m**4 + 3 - 2/3*m**3 + 1/5*m**5. Find z such that q(z) = 0.
-2, 0, 1
Let a(o) = -o - 1. Let r(k) = -2*k**2 + 4*k + 6. Let y(z) = 2*a(z) + r(z). What is m in y(m) = 0?
-1, 2
Let n(r) = r**2 + 6*r. Let w be 3/(-6) - 10/4. Let k(b) = b. Let i(u) = w*n(u) + 15*k(u). Find v, given that i(v) = 0.
-1, 0
Solve -557*n + 17 + 15*n**2 + 518*n + 3*n**3 + 4 = 0.
-7, 1
Let h(y) = -y**4 + 3*y**3 + 3*y**2 + 5*y. Let m(i) = 4*i**4 - 16*i**3 - 16*i**2 - 24*i. Let q(a) = 14*h(a) + 3*m(a). Factor q(r).
-2*r*(r + 1)**3
Let z(k) be the second derivative of -k**5/70 - k**4/14 - k**3/7 - k**2/7 + 11*k. Let z(d) = 0. What is d?
-1
Let g be (-14)/4 - (-1)/2. Let c = -8/3 - g. What is m in 1/3*m**3 - 5/3*m - 1 - c*m**2 = 0?
-1, 3
Factor -27*u**2 + 3 - 4*u**2 - 7*u**2 - 5 + 16*u + 24*u