 8*y**5 + 0*y**3 + 8*y**3 + 8*y**2 = 0. What is y?
-1, 1
Determine x, given that -29380 + 7*x**2 + x**2 + 29380 - 292*x**3 = 0.
0, 2/73
Suppose -319*w - 16 = -4*x - 323*w, -5*w = 0. Let f(d) be the first derivative of -20*d + 35/8*d**x - 15*d**3 - 1/2*d**5 - 12 + 25*d**2. Factor f(y).
-5*(y - 2)**3*(y - 1)/2
Let i(s) be the second derivative of s**5/5 + 22*s**4/3 + 42*s + 2. Find q, given that i(q) = 0.
-22, 0
Factor -15/2*a**2 - 3/2*a**3 - 6*a + 0.
-3*a*(a + 1)*(a + 4)/2
Let k(z) be the third derivative of z**6/900 + z**5/75 - z**4/180 - 2*z**3/15 - 169*z**2. Factor k(s).
2*(s - 1)*(s + 1)*(s + 6)/15
Suppose 1 = 3*j + 2*u - 17, -5*j + 30 = -2*u. Let k be ((-9)/(-54))/(3/j). Factor -4/3 + 5/3*i**3 - k*i**2 - 1/3*i**5 - 8/3*i + 1/3*i**4.
-(i - 2)**2*(i + 1)**3/3
Suppose -27*b = 20*b - 94. Factor 1 + 1/3*h**b - 4/3*h.
(h - 3)*(h - 1)/3
Let v(t) be the third derivative of -t**5/160 - 3*t**4/32 - 5*t**3/16 - 297*t**2. Factor v(m).
-3*(m + 1)*(m + 5)/8
Let n(c) be the second derivative of -3*c**3 + 0 + 17*c - 1/6*c**4 - 8*c**2. Determine t, given that n(t) = 0.
-8, -1
Let h(o) be the first derivative of -o**7/140 + o**6/900 + o**5/150 - 38*o**3/3 - 45. Let d(m) be the third derivative of h(m). Factor d(g).
-2*g*(3*g + 1)*(5*g - 2)/5
Let t = 235 - 168. Suppose w**2 + 0*w - 3*w**2 - t + 4*w + 65 = 0. What is w?
1
Let i = -146 - -148. Let s(h) be the second derivative of -1/9*h**3 + 8*h + 0*h**i + 0 - 1/18*h**4. Determine c, given that s(c) = 0.
-1, 0
Let h(r) be the second derivative of r**5/40 + 55*r**4/24 + 261*r**3/4 + 729*r**2/4 - 17*r + 1. Find w, given that h(w) = 0.
-27, -1
Factor -1/3*i**2 + 11/3*i - 10/3.
-(i - 10)*(i - 1)/3
Let t = -3/19853 - -39751/297795. Factor 4/15 + t*k**2 - 2/5*k.
2*(k - 2)*(k - 1)/15
Let a(t) = -t**4 - 44*t**3 - 48*t**2 + 152*t - 40. Let d(u) = -29*u**3 - 32*u**2 + 101*u - 27. Let r(p) = -5*a(p) + 8*d(p). Factor r(h).
(h - 2)**2*(h + 2)*(5*h - 2)
Let c = -5590/3 - -1864. Let r(h) be the third derivative of 0*h + 10*h**2 + 0 - 1/3*h**5 + h**4 - c*h**3. Factor r(k).
-4*(k - 1)*(5*k - 1)
Factor 0*t + 1/2*t**4 + 0 - 8*t**3 + 10*t**2 + 1/2*t**5.
t**2*(t - 2)**2*(t + 5)/2
Let l be (62/(-1085))/(6/(-15)). Let b(d) be the first derivative of 8 - 1/14*d**4 + l*d**2 - 4/7*d + 4/21*d**3. Factor b(g).
-2*(g - 2)*(g - 1)*(g + 1)/7
Let i(m) = -2*m. Let o be i(1). Let s be (-3 - 1)/16 + (-2)/o. Factor 1/2*j**3 - s*j**5 + 0*j + 0*j**2 + 0 + 1/4*j**4.
-j**3*(j - 1)*(3*j + 2)/4
Let y = -105 + 120. Let -30*a + a**2 + 10*a - 4*a**2 - 2*a**2 - y = 0. Calculate a.
-3, -1
Let f(l) = -l - 2*l**3 - 2*l**3 + 6*l**2 - 2*l**2. Let x = -477 - -467. Let s(i) = i**3 + i. Let q(u) = x*s(u) - 2*f(u). Factor q(b).
-2*b*(b + 2)**2
Suppose -k - 4 = -3*k. Suppose 95 - k*y**2 + 30*y**2 - 20*y - 103 + 0*y**2 = 0. Calculate y.
-2/7, 1
Let w(a) be the second derivative of a**4/4 - 34*a**3 + 1734*a**2 - 16*a - 3. Factor w(m).
3*(m - 34)**2
What is u in 0 - 15/7*u**4 + 33/7*u**2 - 36/7*u**3 + 18/7*u = 0?
-3, -2/5, 0, 1
Let i(t) be the second derivative of t**4/6 - 7*t**3 - 22*t**2 + 41*t. Suppose i(g) = 0. What is g?
-1, 22
Let f(b) be the first derivative of -b**6/300 + b**5/150 - 10*b**2 + 20. Let a(h) be the second derivative of f(h). What is q in a(q) = 0?
0, 1
Let z(x) be the third derivative of 8*x**7/21 + 5*x**6/3 + 11*x**5/4 + 25*x**4/12 + 5*x**3/6 - 9*x**2. Factor z(o).
5*(o + 1)**2*(4*o + 1)**2
Let t(n) be the second derivative of 1/14*n**7 + 3/2*n**2 - 3/10*n**6 + 0 + 1/2*n**4 + 3/10*n**5 - 3/2*n**3 - 9*n. Factor t(s).
3*(s - 1)**4*(s + 1)
Let k(h) be the second derivative of 0 - 1/45*h**6 + 2/27*h**4 - 11/90*h**5 + 0*h**2 + 0*h**3 + 5*h. Let k(y) = 0. What is y?
-4, 0, 1/3
Suppose 0 = -4*h + 9*j + 3*j, -h + 2 = -j. Find l such that -3*l**2 + 0 + 21*l**h - 177/4*l**4 + 105/4*l**5 + 0*l = 0.
0, 2/7, 2/5, 1
Suppose -2*l + 70 + 117 = -q, 3*q - 199 = -2*l. What is i in 156*i**2 + 100*i**4 - l*i**3 - 28*i**3 - 97*i**3 - 36*i = 0?
0, 3/5, 1
Suppose 0 = -2*t + 2*b, 5*t + 10*b = 8*b + 35. Let r(p) be the second derivative of 1/2*p**4 - 2*p + 0*p**2 - 3/20*p**t + 0 + 0*p**3. Factor r(z).
-3*z**2*(z - 2)
Let 0*o - 17/2*o**3 + 1/2*o**4 + 8*o**2 + 0 = 0. What is o?
0, 1, 16
Suppose -39*h - 47 + 47 = 0. Find w, given that -4/9*w**4 + 4/3*w**3 - 16/9*w + 0*w**2 + h = 0.
-1, 0, 2
Let v(w) be the third derivative of -1/85*w**5 + 0*w - 1/17*w**4 - 8/51*w**3 - 1/1020*w**6 + 8*w**2 + 0. Let v(r) = 0. What is r?
-2
Factor 7*w + 0 + 13/2*w**2 - 1/2*w**3.
-w*(w - 14)*(w + 1)/2
Let o(t) = -7*t**3 + 21*t**2 + 69*t + 64. Let i(z) = 2*z**3 - 5*z**2 - 17*z - 16. Let x(h) = 22*i(h) + 6*o(h). Determine k, given that x(k) = 0.
-4, -2
Let k(c) be the second derivative of -c**8/15680 - c**7/2940 - c**6/1680 - 5*c**4/12 - c**3/2 + 15*c + 1. Let o(z) be the third derivative of k(z). Factor o(a).
-3*a*(a + 1)**2/7
Determine y, given that 11/8*y + 1/8*y**2 - 21/4 = 0.
-14, 3
Let z(y) = -5*y**2 - 17*y. Let q(c) = 5*c**2 + 18*c + 1. Let p(m) = 3*q(m) + 4*z(m). Factor p(h).
-(h + 3)*(5*h - 1)
Factor -4/3 - 5*a**2 - 13/3*a - 1/3*a**4 - 7/3*a**3.
-(a + 1)**3*(a + 4)/3
Suppose 8*l = -2*p + 10*l - 6, -5*l + 33 = 4*p. Suppose 1/4*a - 1/4*a**3 - 1/4 + 1/4*a**p = 0. What is a?
-1, 1
Let n(g) be the first derivative of 3*g**4/4 + 7*g**3 - 42*g**2 + 60*g + 116. Factor n(p).
3*(p - 2)*(p - 1)*(p + 10)
Let a(p) be the first derivative of 5/6*p**3 - 1/6*p**5 - 5/24*p**4 - 5/3*p + 14 + 5/12*p**2. Let a(v) = 0. Calculate v.
-2, -1, 1
Suppose d = 3*c - 4*c + 2, 5*c - 4*d - 10 = 0. Find y such that -8*y**4 - 32*y - 10*y**4 - 5*y**5 - 72*y**3 - 10*y**4 + y**5 - 80*y**c = 0.
-2, -1, 0
Let k(h) be the second derivative of 0 - 1/16*h**5 - 3*h + 5/12*h**4 - 25/24*h**3 + 5/4*h**2. Factor k(x).
-5*(x - 2)*(x - 1)**2/4
Let t(v) = v + 1. Let n(j) = -9*j**2 + 6*j + 9. Let k(b) = b + 5. Let a be k(-2). Let g(o) = a*t(o) - n(o). Find z such that g(z) = 0.
-2/3, 1
Let y be (8 - 9/3) + -5. Factor 3/2*f**2 + y + f + 1/2*f**3.
f*(f + 1)*(f + 2)/2
Let z be -2 - ((-94)/8 - -3) - (-7)/(-4). Factor 0*w - 8/5*w**4 + 3/5*w**z + 0 + 7/5*w**3 - 2/5*w**2.
w**2*(w - 1)**2*(3*w - 2)/5
Determine x so that 79*x**4 - 16*x**3 - 28*x**2 + 40*x + 82*x**4 - 157*x**4 = 0.
-2, 0, 1, 5
Let a = -108 + 112. Suppose -2*l + 4 = a*w - 4*l, -3*w = 2*l - 10. Let 0*m - 2/9*m**3 - 2/9*m**w + 0 = 0. Calculate m.
-1, 0
Let q(n) be the second derivative of 0*n**2 + 0 + 1/5*n**3 - 1/20*n**4 - 18*n. Let q(d) = 0. Calculate d.
0, 2
Let w(k) be the third derivative of k**6/840 - k**5/105 - 11*k**4/168 + 5*k**3/7 + 48*k**2. Find z such that w(z) = 0.
-3, 2, 5
Find q such that -6*q**2 + q**2 - 80*q + 16*q**2 + 140 - 6*q**2 = 0.
2, 14
Let k(z) be the second derivative of -2/105*z**5 + 7/2*z**2 + 1/84*z**4 + 0 - z + 0*z**3. Let d(v) be the first derivative of k(v). Let d(u) = 0. Calculate u.
0, 1/4
Let f be (-2 + 1)*(-11 + 8). Factor f*v + 3*v**3 + 2*v + 3*v**3 + 10*v**2 - v**3.
5*v*(v + 1)**2
Let c = -97 - -101. Factor -3*t**4 + 2*t**4 + 0*t**c + 14*t**3 - 24*t - 9*t**4 + 56*t**2.
-2*t*(t - 3)*(t + 2)*(5*t - 2)
Let m(b) = 5*b**2 + 34*b + 68. Let x(q) = -66*q**2 - 444*q - 882. Let u(k) = -27*m(k) - 2*x(k). Solve u(a) = 0 for a.
-6, -4
Let j(f) = 10 - 4*f**3 - 8*f**3 - 5*f**3 - 34*f**2 + 3*f**3 + 36*f. Let q(t) = -14*t**3 - 35*t**2 + 37*t + 9. Let w(y) = -3*j(y) + 2*q(y). Factor w(b).
2*(b - 1)*(b + 3)*(7*b + 2)
Let k(j) be the third derivative of -j**6/24 + 11*j**5/12 - 95*j**4/12 + 100*j**3/3 - 15*j**2 + 4. Factor k(o).
-5*(o - 5)*(o - 4)*(o - 2)
Let v(k) be the second derivative of 29*k + 0 + 27/20*k**5 - 11/4*k**4 + 13/4*k**3 - 9/4*k**2 - 7/20*k**6 + 1/28*k**7. Solve v(j) = 0 for j.
1, 3
Suppose -3*x + 20 + 37 = 0. Suppose 0 = 4*y + 5*l - 9 - x, 10 = -y + 3*l. Solve 55*w**2 - 55*w**2 + 8*w - y*w**4 - 6*w**3 = 0.
-2, 0, 1
Let y = 2050 - 2046. Factor 1/5*w**y + 0 + 4/5*w - 4/5*w**2 - 1/5*w**3.
w*(w - 2)*(w - 1)*(w + 2)/5
Let g(r) be the third derivative of 0*r**7 + 24*r**2 + 0*r + 0 + 0*r**3 - 1/672*r**8 + 1/60*r**5 + 0*r**4 + 1/80*r**6. Suppose g(o) = 0. Calculate o.
-1, 0, 2
Let y(k) be the first derivative of 0*k**3 + 0*k + 0*k**2 + 1/7*k**4 + 9. Factor y(t).
4*t**3/7
Determine o, given that -16/3 + 5*o - 1/3*o**4 + 17/3*o**2 - 5*o**3 = 0.
-16, -1, 1
Suppose -2*v - 5*h - 31 = 0, 146 = 3*v + h + 147. Factor 0 + 16/7*m + 4/7*m**3 - 16/7*m**v.
4*m*(m -