 1)*(v + 1)*(3*v - 2)
Find t, given that -3*t - 21/5*t**2 + 3/5*t**4 + 3*t**3 + 18/5 = 0.
-6, -1, 1
Let q = 0 - -3. Factor -20*n - 12 - 4*n**2 - n**q + 4*n**3 + n**3.
4*(n - 3)*(n + 1)**2
Let y(h) = -2*h**4 - h**3 - 5*h**2 - 3*h - 6. Let s(u) = 7*u**4 + 5*u**3 + 20*u**2 + 11*u + 22. Let b(d) = 6*s(d) + 22*y(d). Solve b(t) = 0 for t.
-1, 0, 5
Suppose -95 + 240 = 5*h + 5*f, -5*h - 2*f + 142 = 0. Let i be 187/154 + 8/h. Let 0*k**2 + i*k**3 + 0 - 3*k**4 + 0*k + 3/2*k**5 = 0. Calculate k.
0, 1
Let x(d) be the first derivative of -d**6/3 - 4*d**5/5 + 23*d**4/2 + 128*d**3/3 - 4*d**2 - 160*d - 50. Solve x(r) = 0 for r.
-4, -2, 1, 5
Let h(y) be the first derivative of 13 + 1/30*y**5 + 1/12*y**4 - 1/18*y**3 - 1/6*y**2 + 0*y. Find m, given that h(m) = 0.
-2, -1, 0, 1
Let j(y) be the first derivative of -3*y**5/16 + y**4/8 + 5*y**3/8 - 3*y**2/4 - 3*y + 8. Let l(q) be the first derivative of j(q). Solve l(o) = 0.
-1, 2/5, 1
Let r(c) = -c**2 - 27*c + 165. Let q be r(-32). Let n(i) be the third derivative of 0*i**4 + 1/60*i**6 - 1/30*i**q + 0*i + 0 + i**2 + 0*i**3. Solve n(g) = 0.
0, 1
Let a(k) be the second derivative of k**7/21 + 2*k**6/15 - k**4/3 - k**3/3 - 4*k - 15. Factor a(z).
2*z*(z - 1)*(z + 1)**3
Let t(j) be the third derivative of j**6/48 + j**5/3 + 65*j**4/48 + 5*j**3/2 - 86*j**2. What is s in t(s) = 0?
-6, -1
Factor 71 + 1881*w - 3*w**3 + 16*w**2 - 11 - 1953*w + 11*w**2.
-3*(w - 5)*(w - 2)**2
Let r be (-30)/(-9)*3/2. Let q(i) be the first derivative of -6*i**2 - 10 - r*i**4 + 5 + 6*i**4 - 8*i. Let q(c) = 0. What is c?
-1, 2
Let i(c) be the second derivative of c**6/270 + 2*c**5/27 + 35*c**2/2 - 3*c. Let j(h) be the first derivative of i(h). Suppose j(k) = 0. What is k?
-10, 0
Suppose a = -a + 4. Suppose 5*i - 236 = -4*m, 3*i - 3*m = -8*m + 139. Find h, given that -2*h**2 + i + 2*h**a - 24*h + 6*h**2 - 3*h**2 = 0.
4
Suppose -n + 4 = -1. Suppose h - 3*h + 19 = n*t, 3*t + h - 12 = 0. Determine f so that 0*f - 3*f**2 + t*f - 10*f + 8*f = 0.
0, 1
Let u(t) = 2*t**3 + 26*t**2 + 32*t - 8. Let v(s) = s**2 + 1. Let l(r) = -u(r) - 8*v(r). What is a in l(a) = 0?
-16, -1, 0
Let m(i) = -5*i**4 - 8*i**3 + 3*i**2 + 26*i + 16. Let n(q) = -9*q**4 - 16*q**3 + 6*q**2 + 52*q + 32. Let z(s) = -7*m(s) + 4*n(s). Factor z(h).
-(h - 2)*(h + 1)**2*(h + 8)
Let z(k) = 24*k**2 - 40*k + 6. Let b(u) = -47*u**2 + 80*u - 13. Let h(w) = -2*b(w) - 5*z(w). Let r(l) = l**2 + l. Let v(x) = 2*h(x) - 20*r(x). Factor v(g).
-4*(3*g - 2)*(6*g - 1)
Factor 486/7*c**2 - 3/7*c**5 + 60/7*c**4 + 0*c + 0 - 351/7*c**3.
-3*c**2*(c - 9)**2*(c - 2)/7
Suppose 3*f + 25*v - 26*v = 15, 0 = 3*f - 5*v - 39. Determine b so that 2/3*b + 2/3 - 2/3*b**f - 1/6*b**4 - 1/2*b**2 = 0.
-2, -1, 1
Let y(g) = 3*g**3 - 8*g**2 - 35*g - 18. Let h(w) = w**3 - w**2 - 1. Let o = 25 - 27. Let q(x) = o*h(x) - y(x). Factor q(s).
-5*(s - 4)*(s + 1)**2
Let v(z) be the first derivative of z**7/126 - z**6/36 + 5*z**4/36 - 5*z**3/18 - z**2 - 4. Let g(d) be the second derivative of v(d). Factor g(s).
5*(s - 1)**3*(s + 1)/3
Suppose -5*u - 4*r + 1 + 3 = 0, -3*u = -4*r + 4. Let j(w) be the first derivative of 0*w + 0*w**5 - 1/2*w**6 + 3/2*w**4 - 3 - 3/2*w**2 + u*w**3. Factor j(n).
-3*n*(n - 1)**2*(n + 1)**2
Let k(i) = i**2 - 7*i - 113. Let d be k(15). Let p(n) be the second derivative of -1/18*n**3 - d*n - 1/36*n**4 + 0 + 0*n**2. Factor p(o).
-o*(o + 1)/3
Let n(y) = 2*y + 1. Suppose 1 = 8*w - 7*w. Let l be n(w). Factor -3*i**l + 15/4*i**2 + 3/4*i**4 + 0 - 3/2*i.
3*i*(i - 2)*(i - 1)**2/4
Let s = -318 + 15583/49. Let i = s + 85/637. Factor 0*a + i*a**5 + 6/13*a**4 + 4/13*a**3 + 0*a**2 + 0.
2*a**3*(a + 1)*(a + 2)/13
Let v(f) = 3*f - 17. Let w be v(10). Suppose -w = o - 21. Find s such that 2*s**2 + 2 + 2 - o - s**2 = 0.
-2, 2
Determine w so that 11/4*w**2 + 13/4*w - 5/4*w**4 - 13/4*w**3 - 3/2 = 0.
-3, -1, 2/5, 1
Factor -4*v - 4*v**4 - 3 - 3 + 12*v**2 - 2 + 4*v**3 + 0*v**4.
-4*(v - 2)*(v - 1)*(v + 1)**2
Let v(k) be the first derivative of -5*k**6/6 + 9*k**5 - 35*k**4/2 - 10*k**3/3 + 75*k**2/2 - 35*k + 1057. Factor v(u).
-5*(u - 7)*(u - 1)**3*(u + 1)
Let t(m) = m**2 + 1. Let k be 4/4 - 1 - -1. Let n be 1*(2 - k) + 2. Let w(c) = -6*c**3 + 12*c**2 + c + 3. Let s(b) = n*w(b) - 15*t(b). Factor s(p).
-3*(p - 1)*(2*p + 1)*(3*p - 2)
Let c(m) be the first derivative of -2*m**5/5 + m**4/2 + 40*m**3/3 + 161. Let c(x) = 0. What is x?
-4, 0, 5
Let j(p) be the second derivative of -3*p**6/40 - 13*p**5/20 - 2*p**4 - 2*p**3 + 9*p**2/2 + 3*p. Let d(r) be the first derivative of j(r). Factor d(a).
-3*(a + 2)**2*(3*a + 1)
Let c(u) be the first derivative of -3/8*u**2 - 5/12*u**3 + 1/2*u + 9. Factor c(b).
-(b + 1)*(5*b - 2)/4
Let d(c) = -15*c**5 - 15*c**4 + 26*c**3 + 15*c**2. Let n(y) = -5*y**5 - 5*y**4 + 9*y**3 + 5*y**2. Let i(b) = 4*d(b) - 11*n(b). Solve i(m) = 0 for m.
-1, 0, 1
Let c(p) be the second derivative of 7/12*p**4 + 0 - p - 1/6*p**5 - 2/3*p**3 + 2*p**2. Let q(d) be the first derivative of c(d). Factor q(b).
-2*(b - 1)*(5*b - 2)
Let w(u) be the second derivative of 2*u**6/15 - 11*u**5/5 + 38*u**4/3 - 104*u**3/3 + 48*u**2 + 54*u + 3. Suppose w(f) = 0. What is f?
1, 2, 6
Let k(j) be the second derivative of j**6/540 - j**5/180 - 11*j**3/6 - 8*j. Let u(v) be the second derivative of k(v). Find s, given that u(s) = 0.
0, 1
Let k(j) = -j**3 + 6*j**2 - 5*j. Suppose -18 = 3*q - 33. Let a be k(q). What is l in 0*l**2 + 0 + a*l + 1/4*l**3 = 0?
0
Let m(k) be the first derivative of -4*k**5/45 - 16*k**4/3 - 2104*k**3/27 + 800*k**2/3 - 2500*k/9 - 179. Let m(d) = 0. What is d?
-25, 1
Let t(n) be the first derivative of n**4/38 - n**3/57 - 2*n**2/19 + 10*n + 11. Let b(p) be the first derivative of t(p). Factor b(d).
2*(d - 1)*(3*d + 2)/19
Find n, given that -15*n - 153*n**5 - 39*n**2 + 3 + 339*n**5 + 33*n**4 + 3 + 3*n**3 - 174*n**5 = 0.
-2, -1, 1/4, 1
Let k be 1/((-7)/(-2) - 3). Factor 8 + y**2 - 7*y**k + 540*y**3 - 538*y**3.
2*(y - 2)**2*(y + 1)
Let f(l) be the second derivative of -l**3/6 - l**2 + l. Let v be f(-5). Solve -3*x**2 + 1 + 9*x**v + 3*x**4 - 6*x**5 - 3*x - 1 = 0 for x.
-1, -1/2, 0, 1
Let w(g) = -5 + 4 - 9 - 2*g. Let u be w(-7). Factor a**3 - 3*a**3 + u*a**2 + 4*a**3 + 2*a**3.
4*a**2*(a + 1)
Let q(m) be the third derivative of -m**8/840 + 2*m**7/525 + m**6/100 - 4*m**5/75 + m**4/15 + 93*m**2. Solve q(b) = 0 for b.
-2, 0, 1, 2
Determine a, given that 29*a**2 - 45*a**2 + 735*a + 34347 - 93*a + 19*a**2 = 0.
-107
Let z(a) be the first derivative of a**4 + 88*a**3 + 2904*a**2 + 42592*a + 159. Factor z(c).
4*(c + 22)**3
Suppose 6 = 2*q, -14*p + 2*q - 10 = -16*p. Factor -p*t**3 + t**2 - 1/2*t**5 - 1/6*t + 5/3*t**4 + 0.
-t*(t - 1)**3*(3*t - 1)/6
Factor -19 - 160*d**2 + 26*d + 87 + 38*d + 156*d**2.
-4*(d - 17)*(d + 1)
Let t(c) = 2*c**5 + c**4 + c**2 + c - 1. Let d(q) = -15*q**5 - 6*q**4 + q**3 - 8*q**2 - 7*q + 7. Let n(j) = -4*d(j) - 28*t(j). Let n(x) = 0. Calculate x.
-1, 0, 1
Let p(x) be the third derivative of -10*x**2 + 0*x + 0*x**3 + 1/15*x**5 - 1/6*x**4 + 0. Suppose p(f) = 0. Calculate f.
0, 1
Let r(v) be the third derivative of -v**8/112 + 2*v**7/35 - 3*v**6/40 - v**5/5 + v**4/2 + 35*v**2. Solve r(m) = 0 for m.
-1, 0, 1, 2
Let g(u) be the first derivative of 1/2*u**4 - 14/3*u**3 + 11*u**2 - 10*u - 15. Factor g(l).
2*(l - 5)*(l - 1)**2
Let v(z) = z**5 - 5*z**4 - 5*z**3 + z**2 - 4*z. Let o(h) = h**5 - 6*h**4 - 5*h**3 + 2*h**2 - 5*h. Let k(y) = -4*o(y) + 5*v(y). Factor k(p).
p**2*(p - 3)*(p + 1)**2
Let n = -236 - -241. Let 0*j - 7/5*j**n - 11/5*j**3 + 2/5*j**2 + 16/5*j**4 + 0 = 0. Calculate j.
0, 2/7, 1
Let d = 779/30 + -129/5. Let o(u) be the second derivative of 0 - 2*u + 1/42*u**7 - 1/15*u**6 + d*u**4 + 0*u**2 + 0*u**3 - 1/20*u**5. Factor o(v).
v**2*(v - 2)*(v - 1)*(v + 1)
Let l(k) = k**2 + 3*k - 8. Let a be l(-5). Let f = a + 0. Factor -12*m**3 - 5*m**2 - m - 11*m**f - 3*m.
-4*m*(m + 1)*(3*m + 1)
Let l(u) be the second derivative of -u**5/30 - 4*u**4/9 - 5*u**3/9 + 14*u**2/3 - 2*u + 34. Factor l(h).
-2*(h - 1)*(h + 2)*(h + 7)/3
Let h = 2530/20349 + -8/1197. What is x in 10/17 - h*x**2 + 8/17*x = 0?
-1, 5
Let c(t) = -5*t**4 + 50*t**3 + 20*t**2 - 20*t + 15. Let x(n) = -n**3 - 2*n**2 + 1. Let v(m) = c(m) + 25*x(m). Let v(b) = 0. What is b?
-1, 2
Let t be ((-115)/(-10))/(4/(-2 - 10)). Let s = -34 - t. Suppose s*i + 1/6*i**2 + 1/3 = 0. What is i?
-2