 15*b**2/2 - 23*b. Factor q(c).
3*(c - 5)*(c + 1)**2
Let h = 14 - 10. Let l(v) be the first derivative of -1/2*v**2 + 0*v - 1 - 1/6*v**3 + 1/8*v**h. Factor l(o).
o*(o - 2)*(o + 1)/2
Let z(l) be the first derivative of -l**5/10 + l**3 + 2*l**2 + 4*l + 6. Let w(b) be the first derivative of z(b). Factor w(a).
-2*(a - 2)*(a + 1)**2
Let x(s) be the second derivative of 1/30*s**4 + 0*s**2 + 1/50*s**5 + 2*s + 0 - 1/105*s**7 + 0*s**3 - 1/75*s**6. Determine h so that x(h) = 0.
-1, 0, 1
Solve 13*m + 7*m - 7*m**4 - 88*m**3 + 68*m**3 + 2*m**4 - 25 + 30*m**2 = 0 for m.
-5, -1, 1
Let s = 3 - 5. Let h be (s - -3)*4 + 1. Factor 2*y + 2*y**h - 2 - 4*y**3 - 2*y**4 + y**2 + y**2 + 2*y**2.
2*(y - 1)**3*(y + 1)**2
Let s be 6/(-4) - (-2162)/(-20). Let x = s - -110. What is t in -4/5*t + 2/5*t**2 + x = 0?
1
Let z(p) be the third derivative of 0*p + 2/15*p**5 - p**2 - 1/168*p**8 - 1/12*p**4 + 0 + 4/105*p**7 - 1/10*p**6 + 0*p**3. Find x such that z(x) = 0.
0, 1
Suppose 3*o + 4*b + 14 = 0, b = -b - 10. Find z, given that 21/2*z**o + 0 - 3*z = 0.
0, 2/7
Suppose 4*a = 15 + 1, 3*m - 4*a = -7. Suppose 0*g - m*g = -12. Let 0*u**3 + 0 + 2/5*u**2 - 2/5*u**g + 0*u = 0. What is u?
-1, 0, 1
Let h(l) = -4*l**2 + 37*l - 103. Let t(z) = -12*z**2 + 112*z - 308. Let k(j) = 8*h(j) - 3*t(j). Factor k(d).
4*(d - 5)**2
Suppose 4 = 4*f, -3*x + 6*f - f = -1. Suppose -14 = -4*k + x. Solve -z + 0*z**k - 2*z**3 + 3*z**3 - z**4 + z**2 = 0 for z.
-1, 0, 1
Let m = 8 - 3. Suppose -m*n + 9 = -2*n. Let 2*f**n - 4*f + f + 2*f - f**5 = 0. What is f?
-1, 0, 1
Let k(d) = -1. Suppose v = 5*j - 3*v - 3, -4*j - 5*v - 14 = 0. Let a(c) = 3*c**3 + 9*c**2 + 6*c + 6. Let b(y) = j*a(y) - 6*k(y). Factor b(h).
-3*h*(h + 1)*(h + 2)
Let m(o) be the third derivative of o**6/240 + o**5/60 + o**4/48 + 24*o**2. Let m(v) = 0. What is v?
-1, 0
Suppose 0 = -2*h + 10, -2*x + 11 = 2*h - 31. Suppose 0 = 2*k - 6*k + 2*j, -x = -4*j. Suppose -10/7*w**k - 4/7 + 2*w = 0. Calculate w.
2/5, 1
Suppose 0 = -t - 3*v + 28, -192 = -5*t - 0*t - 2*v. Let w be 63/15 - 3/15. Factor -w*y + 9*y**2 + 4*y**3 + 1 - t*y**3 - 5 + 30*y**2.
-(3*y - 2)**2*(4*y + 1)
Let h(v) be the first derivative of 3*v**5 + 6*v**4 + v**3 - 3*v**2 + 7. Factor h(s).
3*s*(s + 1)**2*(5*s - 2)
Let x(v) be the third derivative of 0 + 4*v**2 - 1/120*v**5 + 0*v**3 + 1/48*v**4 + 0*v. Solve x(p) = 0.
0, 1
Let b(j) = 25*j**2 + 23*j + 6. Let f(v) = 126*v**2 + 114*v + 30. Let i(o) = -21*b(o) + 4*f(o). Let i(r) = 0. Calculate r.
-1, -2/7
Let i(h) = h**2 + 7*h + 6. Let z be i(-6). Suppose z*m = 2*m - 4. What is n in 5*n + 125*n**3 - 1/4 - 625/4*n**4 - 75/2*n**m = 0?
1/5
Let n = 33 - 33. Factor n*a + 1/4*a**2 - 1/4*a**3 + 0.
-a**2*(a - 1)/4
Let u be (1144/30)/2 - 4/10. Let o(i) be the first derivative of 18/5*i**5 + u*i**3 + 0*i + 8*i**2 + 15*i**4 - 1. Find n, given that o(n) = 0.
-2, -2/3, 0
Let r(q) be the third derivative of q**8/672 - q**7/210 + q**6/240 - 7*q**2. Factor r(s).
s**3*(s - 1)**2/2
Let n = -718/9 - -80. Suppose 8/9*w**2 - 4/3*w**3 + 4/3*w - 10/9*w**4 + n = 0. Calculate w.
-1, -1/5, 1
Suppose 3*g - 6 = 24. Suppose -4 = 3*p - 5*p. Suppose -p*z**3 - g*z + 10*z - 2*z**4 = 0. Calculate z.
-1, 0
Let z be (6/9)/((-28)/3)*-6. Factor -z*s**2 + 0 - 1/7*s + 4/7*s**3.
s*(s - 1)*(4*s + 1)/7
Let z be (-1)/(3/(-6)*1). Factor 4*r**3 - 2*r - z*r**4 + 2*r**2 + r**3 - 3*r**3.
-2*r*(r - 1)**2*(r + 1)
What is n in -8/13*n + 2*n**2 - 2/13*n**5 - 30/13*n**3 + 14/13*n**4 + 0 = 0?
0, 1, 4
Let y(z) be the first derivative of 0*z + 3 - 2/3*z**3 - 2/5*z**5 + 0*z**2 - z**4. Factor y(g).
-2*g**2*(g + 1)**2
Suppose 6*d - 3*d = -5*v + 21, -4*d - 3*v + 17 = 0. Suppose 2*y - 21 = -y - 3*u, d*y - 9 = -u. Factor -3/2*k**y + 3*k - 3/2.
-3*(k - 1)**2/2
Let q(r) = -5*r**3 + 2*r**2 - 2*r. Let c(s) = -11*s**3 - 5*s - 6*s**3 - s**4 + 5*s**2 + 2*s**3. Let l(o) = -3*c(o) + 8*q(o). Suppose l(g) = 0. What is g?
-1, 0, 1/3
Let o be (-2)/(-7) - 272/(-126). Let y be -6 + (-3 - -1 - (-10)/1). Factor 8/9*i - o*i**3 + y*i**5 - 4/3*i**4 + 8/9*i**2 + 0.
2*i*(i - 1)**2*(3*i + 2)**2/9
Let g(p) = p**2 + 16*p. Let n be g(-17). Let r be n/(-34) + (-7)/(-10). Factor r + 2/5*c**3 - 1/5*c**4 - 2/5*c + 0*c**2.
-(c - 1)**3*(c + 1)/5
Let s(q) be the first derivative of -q**6/18 - q**5/15 + q**4/12 + q**3/9 + 1. Factor s(i).
-i**2*(i - 1)*(i + 1)**2/3
Let v(d) = -d**3 - 4*d**2 + 6*d + 7. Let r be v(-5). Solve -4 - x**r - x**4 + 2*x**3 - 3 + 7 = 0.
0, 1
Let l(u) be the first derivative of 0*u**2 - 6 - 4/35*u**5 + 2/21*u**3 - 1/14*u**4 + 0*u. Find d, given that l(d) = 0.
-1, 0, 1/2
Let h = -9 + 6. Let p be 18/32*(-4)/h. Let -3/2*r - 3/4*r**2 - p = 0. Calculate r.
-1
Let v(l) be the second derivative of 0 + 7/10*l**5 + 8/3*l**4 + 11/3*l**3 - 4*l + 2*l**2. Find b such that v(b) = 0.
-1, -2/7
Suppose -2*l + 6*l = 4. Let d(h) = h**3 + h**2 + 1. Let r(p) = -4*p**3 + 0 - 2*p - 6*p + 6*p**2 - 2. Let u(c) = l*r(c) + 2*d(c). Factor u(w).
-2*w*(w - 2)**2
Let o be (-2883)/(-720) - (1 + 3). Let u(i) be the third derivative of o*i**5 - 2*i**2 - 1/24*i**3 + 0*i**4 + 0 + 0*i. Factor u(x).
(x - 1)*(x + 1)/4
Let g(k) be the second derivative of k**5/5 - k**4/12 + 10*k. Factor g(m).
m**2*(4*m - 1)
Let i(z) be the second derivative of -z**7/336 + z**6/48 - 9*z**5/160 + 7*z**4/96 - z**3/24 + 45*z. Factor i(q).
-q*(q - 2)*(q - 1)**3/8
Let q(h) be the second derivative of h**6/75 + h**5/25 - h**4/30 - 2*h**3/15 - 20*h. Factor q(c).
2*c*(c - 1)*(c + 1)*(c + 2)/5
Let q = 362/91 + -48/13. Let k(m) be the second derivative of 9/14*m**4 - 13/21*m**3 + q*m**2 - 23/70*m**5 + 1/15*m**6 + 0 - m. Factor k(s).
2*(s - 1)**3*(7*s - 2)/7
Let q = 9 + -9. Let -y**3 + q*y**3 + 3*y + 0*y**3 - 1 - 1 = 0. What is y?
-2, 1
Let n = -22 - -24. Determine q so that -4*q + 2*q**2 - 5*q**n + q**3 + 6*q = 0.
0, 1, 2
Let n = -10/9 + 43/36. Let t(w) be the third derivative of -1/120*w**5 + 1/48*w**4 - 1/240*w**6 + 0*w + n*w**3 - 3*w**2 + 0. Factor t(j).
-(j - 1)*(j + 1)**2/2
Let p(s) be the first derivative of -3*s**5/40 - 9*s**4/32 - s**3/8 + 9*s**2/16 + 3*s/4 + 10. Determine q so that p(q) = 0.
-2, -1, 1
Solve -10 - 50*k - 125/2*k**2 = 0 for k.
-2/5
Solve 6/7 - 3/7*i - 6/7*i**2 + 3/7*i**3 = 0 for i.
-1, 1, 2
Let n(u) = -u**3 + 41*u**2 + 103*u. Let i(h) = 14*h**2 + 34*h. Let m(c) = 7*i(c) - 2*n(c). What is a in m(a) = 0?
-4, 0
Factor -53*c**2 + 2 + 58*c**2 - 5*c**3 - 2.
-5*c**2*(c - 1)
Factor -2*q - 2*q**4 + 5*q**2 - 4 + 1/2*q**5 + 1/2*q**3.
(q - 2)**3*(q + 1)**2/2
Let g = 7 - 12. Let a be 2/g*10/(-8). Solve 1/2*t**3 + 3/2*t**2 + a + 3/2*t = 0.
-1
Suppose -4*l = 4 - 24. Factor -6*r**4 + 3*r**2 - r**l + 3*r**4 + 2*r + 4 - 4 - r**3.
-r*(r - 1)*(r + 1)**2*(r + 2)
Let q(p) be the first derivative of p**5/5 + 5*p**4/8 + p**3/2 + 3*p**2 + 2. Let j(u) be the second derivative of q(u). Find d such that j(d) = 0.
-1, -1/4
Let v(w) = -w**2 + 7*w + 8. Let h be v(8). Suppose -2*j = 7*g - 4*g - 15, -2*j - g + 9 = h. Factor -2/3*n + 0 - 5/6*n**j - 1/6*n**4 - 4/3*n**2.
-n*(n + 1)*(n + 2)**2/6
Let o be ((-2)/5)/(1/(-10)). Let s be 10/o*8/10. Determine m so that 4*m + 8*m**s - 4 - 7*m**2 - 2*m**2 = 0.
2
Let y = 7 - 2. Suppose 0*l + y*l = 0. Factor 3*n**4 - 2*n**3 - 2*n**4 + n**2 + l*n**3.
n**2*(n - 1)**2
Let d(q) be the second derivative of 2*q**7/147 - 2*q**6/105 - 32*q. Solve d(j) = 0.
0, 1
Let b be (-13)/4 - (-5)/20. Let r = b - -3. Factor -p**2 + r*p**3 + p - p**3 + 4*p**4 - 3*p**4.
p*(p - 1)**2*(p + 1)
Let u be (4/(-16))/(2/(-8)). Let v(r) = -3*r**4 + 7*r**3 - 4*r**2 - r. Let n(s) = s**3 - s**2 - s. Let m(q) = u*v(q) - n(q). Factor m(p).
-3*p**2*(p - 1)**2
Let u(d) be the third derivative of -d**5/15 + d**3 + 5*d**2. Let a(f) = -3*f**2 + 5. Let x(q) = 6*a(q) - 5*u(q). Determine t, given that x(t) = 0.
0
Let n(y) be the first derivative of 8*y**5/15 - 3*y**4/2 + 4*y**3/3 - y**2/3 - 5. Factor n(t).
2*t*(t - 1)**2*(4*t - 1)/3
Let -5*g - 3*g**2 + 0*g**3 + 4*g**3 - g**3 - g = 0. What is g?
-1, 0, 2
Let s = -392 + 5884/15. Let r(c) be the first derivative of 0*c - s*c**5 + 4/9*c**3 - 1/3*c**2 - 1 + 0*c**4 + 1/9*c**6. Determine j so that r(j) = 0.
-1, 0, 1
Let a(b) be the second derivative of b**6/30 + 3*b**5/10 + 3*b**4/4 + 2*b**3/3 + 12*b. Let a(n) = 0. Calculate n.
-4, -1, 0
Let d be (1 - 0)/(5/15). Suppose 3*a**2 + a**d + 2*a + a**3 + a**2 = 0. Calculate a.
-1, 0
Let t(x) be the third deri