+ 2)/5
Let d(x) = 2*x**2 - 2*x - 10. Let i be d(3). Let s(t) be the first derivative of 1/5*t**5 + 3/2*t**4 - 6 + 3*t**3 + 0*t**i + 0*t. Factor s(k).
k**2*(k + 3)**2
Let n = -429/7 + 437/7. Let -4/7*o + n*o**2 - 4/7*o**3 + 0 = 0. What is o?
0, 1
Let b = 21 + -19. Determine l so that l - 6 - 3*l - l**2 + 3*l**2 + b = 0.
-1, 2
Let c(m) be the second derivative of 2*m**7/105 + 16*m**6/25 + 88*m**5/25 - 224*m**4/5 + 1568*m**3/15 - 341*m. Determine g, given that c(g) = 0.
-14, 0, 2
Let p be (-37062)/198 + 4/22. Let n be (-17)/p - (-78)/110. Factor -2/5*s**2 - n*s + 0.
-2*s*(s + 2)/5
Suppose 9*i - 26 = -26. Let s(y) be the first derivative of 2*y**2 + 1/5*y**5 + i*y + 4 - 3/4*y**4 + 0*y**3. Factor s(t).
t*(t - 2)**2*(t + 1)
Let g(b) be the second derivative of -11*b**5/45 + 7*b**4/18 + b**3/27 + 8*b + 4. Factor g(o).
-2*o*(o - 1)*(22*o + 1)/9
Let z(b) be the first derivative of -5/3*b**3 + 20*b - 15/2*b**2 - 13. Determine r, given that z(r) = 0.
-4, 1
Let s(r) = 2*r**3 + 21*r**2 - 13*r - 22. Let z be s(-11). Let f be (1 - -1)*(-2)/(-6). Factor -1/3*y**4 + z*y + f*y**3 - 1/3*y**2 + 0.
-y**2*(y - 1)**2/3
Find t such that -68*t**2 + 377 - 2*t**3 + 6*t**3 + 176*t - 53 + 76*t = 0.
-1, 9
Let x be ((-69)/207)/((-2)/(-12) - 0). Let o be (-154)/(-63) + x + 2. Factor 2*l**2 + 2/9*l - 2/9 + o*l**3 + 8/9*l**4.
2*(l + 1)**3*(4*l - 1)/9
Let p = 430 - 425. Suppose 3/2*z**p - 15*z**2 + 15*z**3 - 15/2*z**4 + 15/2*z - 3/2 = 0. What is z?
1
Find i, given that i**3 - 96*i**2 - 12*i**5 - 2799*i + 2799*i + 140*i**4 + 55*i**3 = 0.
-1, 0, 2/3, 12
Let a(w) be the third derivative of w**6/10 + 8*w**5/15 + 2*w**4/3 - 121*w**2. Solve a(i) = 0.
-2, -2/3, 0
Let q be (1 - 1)*3/(-6). Let m = q + 4. Factor 34*w - 8 - m*w**3 - 10*w - 14*w**2 - 4*w**2 + 6*w**4.
2*(w - 1)**2*(w + 2)*(3*w - 2)
Find a, given that 21/2*a**3 + 51/2*a - 51/2*a**2 - 3/2*a**4 - 9 = 0.
1, 2, 3
Let a(y) be the first derivative of -4/39*y**3 - 1/39*y**6 + 0*y**4 - 18 + 0*y + 4/65*y**5 + 1/13*y**2. Factor a(q).
-2*q*(q - 1)**3*(q + 1)/13
Let n = 4 - -2. Let h(c) = -3 - 15*c**2 + 3 + 20*c**2 + 7*c**3. Let a(q) = -20*q**3 - 14*q**2. Let l(z) = n*a(z) + 17*h(z). Factor l(d).
-d**2*(d - 1)
Let y(c) be the third derivative of -1/20*c**5 + 0*c + 5*c**3 + 9/8*c**4 + 19*c**2 - 1. Factor y(a).
-3*(a - 10)*(a + 1)
Let f(s) = 21*s**3 + 196*s**2 - 211*s - 134. Let b(u) = -12*u**3 - 99*u**2 + 105*u + 66. Let q(c) = 11*b(c) + 6*f(c). Factor q(a).
-3*(a - 13)*(a - 2)*(2*a + 1)
Let d(s) be the third derivative of -1/270*s**6 - 8*s**2 + 1/756*s**8 + 0*s**4 + 0 + 0*s**7 + 0*s**3 + 0*s + 0*s**5. Find p, given that d(p) = 0.
-1, 0, 1
Let m(y) be the second derivative of 0 - y**2 + y + 0*y**3 + 1/24*y**4. Suppose m(t) = 0. What is t?
-2, 2
Let n = -11022 + 77316/7. Let y be 7633/952 - 7 - (-1)/8. Find f, given that -y - 72/7*f - n*f**2 = 0.
-2/9
Let k = 94 - 278/3. Let h(m) be the second derivative of 4/5*m**5 + k*m**3 - 2/15*m**6 - 5/3*m**4 + 0 - 3*m + 0*m**2. Factor h(i).
-4*i*(i - 2)*(i - 1)**2
Let r(g) be the first derivative of -66*g**2 - 4 + 24*g - 63/4*g**4 + 62*g**3. Factor r(x).
-3*(x - 2)*(3*x - 2)*(7*x - 2)
Let l(u) be the first derivative of -u**4/18 - 34*u**3/27 - 31*u**2/9 - 10*u/3 + 96. Suppose l(k) = 0. Calculate k.
-15, -1
Let s = -9575/9 + 1064. Determine t, given that s*t**2 + 0 + 1/9*t = 0.
-1, 0
Suppose -20*g + 25*g = 10. Suppose 10 = g*a + 3*a. Factor -2/5*s**a - 2/5*s + 0.
-2*s*(s + 1)/5
Suppose 2*a + 2*a = 8. Let b be (-13 + 4)*1/(-3). Factor 14*w**3 + w + 15*w**2 + b*w**a + 3*w.
2*w*(w + 1)*(7*w + 2)
Let p = 90/193 + -244/1351. Factor -p*g**2 - 6/7 + 8/7*g.
-2*(g - 3)*(g - 1)/7
Let f(z) be the first derivative of -2*z**3/21 - 6*z**2 - 126*z + 169. Suppose f(u) = 0. Calculate u.
-21
Let k = -51973/2 + 25987. Factor 3 - p**2 + 5/2*p - k*p**3.
-(p - 2)*(p + 1)*(p + 3)/2
Let p = 47 + -43. Let 14*u**3 - 5*u**5 - 7*u - p - 2*u**4 + 2 - 2*u**5 + 4*u**2 + 0 = 0. Calculate u.
-1, -2/7, 1
Let k(u) = -5*u**3 - 3*u**2 + 9*u + 4. Let i(p) = p**3 + p**2 - p. Let y(r) = 3*i(r) + k(r). Let y(s) = 0. What is s?
-1, 2
Let t(p) = 230*p**2. Let s(o) = -690*o**2 + o. Let a(j) = 2*s(j) + 7*t(j). Suppose a(f) = 0. Calculate f.
-1/115, 0
Let x(a) be the second derivative of a**4/4 - 41*a**3/42 - a**2/7 + 765*a. Find l, given that x(l) = 0.
-1/21, 2
Let y = -54086/7 - -7727. Find d, given that -1/7*d**2 + 0 + y*d = 0.
0, 3
Let s(l) be the third derivative of -l**10/40320 - l**9/20160 + l**4/12 + 13*l**2. Let r(x) be the second derivative of s(x). Find k such that r(k) = 0.
-1, 0
Suppose -4*i + 4*u + 11 = 3*u, i + 7 = -3*u. Let n(o) be the second derivative of -4*o + 1/12*o**3 - 1/8*o**i - 1/48*o**4 + 0. Factor n(d).
-(d - 1)**2/4
Let q(h) be the first derivative of h**4/12 - h**2/2 + 2*h/3 - 108. Suppose q(y) = 0. What is y?
-2, 1
Suppose 95 + 120 = 43*g. Let i(y) be the second derivative of -1/10*y**6 - 3/20*y**g + 9*y - 1/42*y**7 + 0*y**3 + 0*y**2 + 0 - 1/12*y**4. Factor i(p).
-p**2*(p + 1)**3
Suppose -58 - 30 = -22*h. Let l(u) be the second derivative of -1/120*u**6 + 1/168*u**7 + 0 + 0*u**5 + 0*u**3 + 0*u**2 - u + 0*u**h. Find g such that l(g) = 0.
0, 1
Let q be 40/(-6)*(2 + (-35)/10). Factor -11*r + q*r**4 - 50*r**2 + 10*r**3 - 2*r**5 - 69 - 69*r + 37.
-2*(r - 4)**2*(r + 1)**3
Let g(u) be the first derivative of -2*u**3/9 - 4*u**2/3 + 215. Find d such that g(d) = 0.
-4, 0
Suppose -2*x**2 - x**2 + 13*x**3 - 25*x**3 + 16*x**3 - x**2 = 0. What is x?
0, 1
Determine b, given that 0 - 4/3*b + 2/9*b**2 = 0.
0, 6
Let j be (-4)/(-12)*-3*-42. Let 115*u**2 + 6*u - 25*u**3 - j + 2 - 56*u = 0. Calculate u.
-2/5, 1, 4
Let i(a) be the third derivative of 1/160*a**6 - 16*a**2 + 0*a - 1/80*a**5 - 1/32*a**4 + 0 + 1/280*a**7 + 0*a**3. Determine k so that i(k) = 0.
-1, 0, 1
Factor -29 + 1/2*y**2 - 27/2*y.
(y - 29)*(y + 2)/2
Let n be 191/(-24) - (-23 - -15). Let y(p) be the second derivative of 1/60*p**6 + 0 + n*p**3 + 9*p - 1/16*p**4 - 1/80*p**5 + 1/8*p**2. Solve y(h) = 0.
-1, -1/2, 1
Let g be 858/1690 - 1/5. Find i, given that -6/13*i + 2/13*i**2 + g = 0.
1, 2
Let i(o) be the first derivative of o**4/30 - 2*o**3/45 - 2*o**2 + 610. Find f such that i(f) = 0.
-5, 0, 6
Let r(u) be the second derivative of 1/63*u**7 + 0*u**5 + 0*u**3 + 4*u + 0*u**4 + 0*u**2 - 1/45*u**6 + 0. Factor r(f).
2*f**4*(f - 1)/3
Let a(g) = -15*g**4 - 17*g**3 - 8*g**2 + 31*g + 9. Let n(o) = -8*o**4 - 8*o**3 - 4*o**2 + 16*o + 4. Let u(q) = -4*a(q) + 7*n(q). Suppose u(i) = 0. Calculate i.
-2, -1, 1
Let g(l) be the first derivative of -22 - 2*l - 1/9*l**6 + 1/3*l**4 - 2/5*l**5 - 1/3*l**2 + 4/3*l**3. Find m, given that g(m) = 0.
-3, -1, 1
Let d be (-858)/(-182) - (-4)/(-42)*-3. Suppose o - w - 4 = 0, -6 = -2*o + d*w - w. Factor 0*u**3 + 0 + 1/4*u + 1/2*u**2 - 1/4*u**o - 1/2*u**4.
-u*(u - 1)*(u + 1)**3/4
Let i be (2/(-4)*0)/((-2)/(-1)). Suppose 2 = 3*s + s - 2*n, i = 2*s - 3*n + 5. Let 0*m**s + 1/3*m + 1/6 - 1/3*m**3 - 1/6*m**4 = 0. Calculate m.
-1, 1
Let w(h) = h**5 + h**4. Let m(p) = 4*p**5 + 4*p**4 + 4*p**3. Let j(x) = -2*m(x) + 12*w(x). Let j(l) = 0. Calculate l.
-2, 0, 1
Factor -8/3*y**3 + 32*y**2 + 242/3 - 110*y.
-2*(y - 1)*(2*y - 11)**2/3
Let h(w) = 6*w**2 - 49*w + 79. Let v = 124 - 117. Let b(m) = -4*m**2 + 33*m - 53. Let a(d) = v*b(d) + 5*h(d). Solve a(r) = 0.
3, 4
Let i(z) = -z**2 - z. Let d be i(-1). Suppose d = -3*h + 5*v + 31, -4*h - 17 = -5*h + 3*v. Determine s, given that 3*s**h + 3*s - 3*s**3 + 4 - 2 - 2 - 3 = 0.
-1, 1
Let k = -31 - -34. Determine l so that 4*l**k + 5*l**2 + l**3 - 5*l**4 + 0*l**3 - 5*l = 0.
-1, 0, 1
Suppose 84 = -h - 3*b, -5*h - 483 = -b - 15. Let m = h + 96. Factor -3/2*r**2 - 3/4*r + 0*r**m + 3/2*r**4 + 0 + 3/4*r**5.
3*r*(r - 1)*(r + 1)**3/4
Factor 43*f**3 + 5*f**2 + f**2 - 41*f**3.
2*f**2*(f + 3)
Determine i so that -270 - 66/5*i**2 - 2/5*i**3 - 126*i = 0.
-15, -3
Let d(u) be the second derivative of u**6/195 + u**5/13 + 73*u. Factor d(i).
2*i**3*(i + 10)/13
Solve 568*y - 211*y - 193*y - 244*y + 5*y**3 = 0.
-4, 0, 4
Let h be 1/5 - 46/5. Let q be -2*(h/(-6) - 3). Factor 1 + 0*d - d - q - 2*d + d**3.
(d - 2)*(d + 1)**2
Let s(k) be the third derivative of -k**8/20160 - k**7/1008 - k**6/120 - k**5/60 + 7*k**2. Let p(z) be the third derivative of s(z). Factor p(f).
-(f + 2)*(f + 3)
Let g(h) be the second derivative of 3*h**5/20 + 19*h**4/4 - 10*