*b + a*b**n + 0 = 0.
0, 1
Let v(x) = x**3 + 8*x**2 - 9*x + 9. Let c be v(-9). Factor 17*s + 14*s + 3*s + 30 + 5*s**2 - c*s.
5*(s + 2)*(s + 3)
Let k(c) be the second derivative of -2*c**7/21 - 82*c**6/15 - 571*c**5/5 - 1065*c**4 - 5184*c**3 - 13824*c**2 - 213*c. Suppose k(y) = 0. Calculate y.
-16, -3
Let b be (-2 - -3)*(-1 + -3) - -9. Suppose y = -b*c + 4*y + 17, -4*c + 2*y = -14. Solve -16/7 - 38/7*l**3 + 88/7*l - 124/7*l**2 - 50/7*l**5 + 20*l**c = 0.
-1, 2/5, 1, 2
Let r be (90/8)/((-2952)/192 + 18). Suppose 28 = 5*l - 4*t, 5*l - 12 = -0*l - 4*t. Factor 18/7*q**l + 58/7*q**3 + 4/7 + 66/7*q**2 + r*q.
2*(q + 1)**3*(9*q + 2)/7
Let n(q) be the third derivative of -17/24*q**4 + 1/120*q**6 - 3/2*q**3 + 53*q**2 - 7/60*q**5 + 0 + 0*q. What is l in n(l) = 0?
-1, 9
Let p be (34/10 - 3)/(8/60). Let y(o) be the first derivative of 3 - 2/3*o**p + 0*o + 0*o**2 + 1/2*o**4. Factor y(d).
2*d**2*(d - 1)
Suppose 0 = -6*d - 273 - 387. Let k be 33/d*25*1/(-6). What is n in 5/4*n + 0 - k*n**2 = 0?
0, 1
Let a = -10049/5 + 2010. Let t(h) be the second derivative of 0 + 1/15*h**3 + 5*h + a*h**2 + 1/120*h**4. Solve t(v) = 0.
-2
Let z(u) be the third derivative of u**6/900 + u**5/150 + 219*u**2. Factor z(f).
2*f**2*(f + 3)/15
Let q = -2111/175 + 85/7. Let r(c) be the first derivative of 1/10*c**4 + 0*c**2 + 3 - q*c**5 + 0*c**3 + 0*c. What is b in r(b) = 0?
0, 1
Suppose 3*s - 4*l = -6, 2*s - 5*l - 1 = -12. Suppose 2*g**3 + 82*g**2 - 82*g**2 + s*g**3 = 0. What is g?
0
Let m(k) be the first derivative of 3*k + 1/5*k**2 - 1/30*k**3 - 5 - 1/20*k**4. Let t(y) be the first derivative of m(y). Let t(a) = 0. What is a?
-1, 2/3
Determine z so that 3/4*z**2 + 0 + 9/4*z = 0.
-3, 0
Suppose x + x - 10 = 2*g, -9*x = -63. Factor 2/9 - 2/9*t + 2/9*t**3 - 2/9*t**g.
2*(t - 1)**2*(t + 1)/9
Let k(f) = 6*f**2 - 72*f - 162. Let v(b) = 3*b**2 - 38*b - 81. Let n(t) = 5*k(t) - 9*v(t). Solve n(y) = 0.
-3, 9
Find s, given that -36/5*s - 4/5*s**3 - 24/5*s**2 + 0 = 0.
-3, 0
Let c = -35 - -37. Let r(a) = -a + 7. Let s be r(4). Factor 1 + 3*j**s - 11*j + 2*j - 5*j**c + 10*j.
(j - 1)**2*(3*j + 1)
Let s = -2894 - -2899. Determine x, given that -s*x + 5*x**2 + 5/3 - 5/3*x**3 = 0.
1
Let k(n) be the first derivative of -1/14*n**4 - 4/21*n**3 + 2/7*n + 1/14*n**2 + 1/42*n**6 + 2/35*n**5 + 4. Find b, given that k(b) = 0.
-2, -1, 1
Let j(a) be the third derivative of a**5/300 + 5*a**4/24 - 13*a**3/15 - 25*a**2. Factor j(s).
(s - 1)*(s + 26)/5
Let o(n) be the second derivative of n**5/35 - 11*n**4/21 + 10*n**3/7 + 54*n**2/7 - 274*n. Suppose o(a) = 0. What is a?
-1, 3, 9
Let r(y) = y**4 - y**3 - y**2 - 1. Let b(j) = -8*j**3 + 4*j**2 - 4. Let p(g) = -b(g) + 4*r(g). Solve p(x) = 0.
-2, 0, 1
Let w(h) be the third derivative of -2*h**2 + 1/24*h**6 + 0*h - 5/12*h**5 - 5/24*h**4 + 25/6*h**3 + 16. Solve w(t) = 0 for t.
-1, 1, 5
Let v(g) = -4*g**2 + 20*g - 12. Let u be v(4). Factor 0*h**2 - h**3 + 1/2 - 1/2*h**u + h.
-(h - 1)*(h + 1)**3/2
Suppose -g**2 + 5*g**2 - 18*g**2 + 2*g**3 + 8*g + 4*g = 0. What is g?
0, 1, 6
Let v(n) = 4*n**3 + 136*n**2 - 468*n + 328. Let y(z) = -2*z**3 - 91*z**2 + 312*z - 219. Let t(x) = 5*v(x) + 8*y(x). Suppose t(h) = 0. Calculate h.
1, 4, 7
Let x = 78 + -74. Suppose -d = -x*d. Determine h, given that -1/3*h**4 - 2/3*h**3 + d + 0*h - 1/3*h**2 = 0.
-1, 0
Find u, given that 2/5*u**3 + 36/5 + 58/5*u + 24/5*u**2 = 0.
-9, -2, -1
Let o = 79 - 78. Let c be ((-1 - -2)*o)/(2/4). Factor -1 + 1/3*a - 1/3*a**3 + a**c.
-(a - 3)*(a - 1)*(a + 1)/3
Let t be (-9*2/7)/((-96)/448). Suppose -156*m**3 + 320*m**3 - t*m - 8 - 160*m**3 = 0. Calculate m.
-1, 2
Suppose -18 = 146*l - 155*l. Let k(g) be the first derivative of l + 0*g + 4/3*g**3 - g**2 - 1/2*g**4. Factor k(d).
-2*d*(d - 1)**2
Let u(h) be the third derivative of -h**7/420 - h**6/90 + h**5/60 + h**4/6 - h**3 + 12*h**2. Let i(z) be the first derivative of u(z). Factor i(q).
-2*(q - 1)*(q + 1)*(q + 2)
Let a(w) = -w**5 - w. Let x(m) = -m**5 - m**4 + 2*m**3 + 5*m. Suppose 0 = l + 19 + 1. Let t(c) = l*a(c) - 4*x(c). Let t(s) = 0. What is s?
-2/3, 0, 1/2
Let m(a) be the second derivative of -a**5/30 + a**4/3 - 4*a**3/3 + 5*a**2 - 10*a. Let p(i) be the first derivative of m(i). Factor p(g).
-2*(g - 2)**2
Let o(f) be the third derivative of 2*f**7/525 - 2*f**6/75 + f**5/15 - f**4/15 + 14*f**2 + 2. Factor o(v).
4*v*(v - 2)*(v - 1)**2/5
Let v be (-2)/(-12) - 14872/(-48). Determine g so that g**3 - 3*g**2 + 2*g + v - 310 = 0.
0, 1, 2
Find h such that -1428*h**2 + 372*h**2 + 94*h**3 - 1152*h - 8*h**4 - 3*h**4 + h**4 + 8*h**4 = 0.
-1, 0, 24
Suppose -3*d = 3*s - 24, -s - 2*s = 2*d - 20. Let o(i) be the second derivative of 0 + 0*i**2 - i + 1/72*i**d - 1/36*i**3. Suppose o(v) = 0. What is v?
0, 1
Let i = 102 - 38. Factor -2*b**2 + b**2 - i - 3*b**2 - 31*b - b.
-4*(b + 4)**2
Let g(m) be the third derivative of -6*m**2 + 2/135*m**5 + 0*m - 4/27*m**3 + 1/54*m**6 + 0 - 5/54*m**4. Suppose g(u) = 0. What is u?
-1, -2/5, 1
Suppose 3 = -8*r + 19. Suppose r*w + 8 = 16. Determine x, given that 15/7*x**3 - 12/7*x**2 + 3/7*x + 0 - 6/7*x**w = 0.
0, 1/2, 1
Suppose -d = 3*d + 3*d. Let w(i) be the second derivative of 0*i**4 + 0*i**2 + d + 2/9*i**3 - 5*i - 1/15*i**5. Factor w(s).
-4*s*(s - 1)*(s + 1)/3
Let t(j) be the first derivative of j**9/5040 - j**8/2800 - j**7/1400 + j**6/600 + 8*j**3 - 29. Let o(s) be the third derivative of t(s). Factor o(v).
3*v**2*(v - 1)**2*(v + 1)/5
Suppose 0 = 2*o - 2*f - 4, -o + 3*f - 18 = -2*o. Let s(u) be the first derivative of -7*u**3 + 27/2*u**2 - o*u - 3. Factor s(b).
-3*(b - 1)*(7*b - 2)
Let n be (-7)/((-7)/3) - -1. What is x in 5*x**2 + 8*x**3 - 15*x**2 + 7*x**4 + n*x - 9*x**4 = 0?
0, 1, 2
Let o(n) be the third derivative of -n**5/40 + 43*n**4/16 - 21*n**3/2 - 78*n**2. Determine w, given that o(w) = 0.
1, 42
Let d(h) be the third derivative of -5*h**8/336 - 4*h**7/21 - h**6/4 + 10*h**5/3 - 125*h**4/24 + 12*h**2 - 7. Let d(i) = 0. What is i?
-5, 0, 1
Suppose 2 = -3*a + 2*l, 3*a + 0 = -l + 10. Let f(z) be the first derivative of z**a - 10 + 1/14*z**4 - 6/7*z - 10/21*z**3. Factor f(v).
2*(v - 3)*(v - 1)**2/7
Suppose -4*p + 5 = -t, 3*t - 4 = 3*p - 1. Let n be 2/8 + t + 36/(-16). Factor 7/4*j**2 + j + 1/2*j**3 - n.
(j + 2)**2*(2*j - 1)/4
Suppose -470*j - 2 = -471*j. Factor 2/3*r**j + 0*r - 8/9 + 2/9*r**3.
2*(r - 1)*(r + 2)**2/9
Let s(t) = 2*t**2 + 6*t - 8. Suppose -i = -3*i. Suppose -5*u + 30 = -i*u. Let b(n) = -2*n**2 - 5*n + 7. Let p(v) = u*b(v) + 5*s(v). Factor p(m).
-2*(m - 1)*(m + 1)
Let a(z) be the second derivative of -1/20*z**5 - 1/6*z**4 + 0 - 19*z + 0*z**2 + 0*z**3. Determine t, given that a(t) = 0.
-2, 0
Let i(f) = -f**3 + 2*f**2 - f + 1. Let m(a) = 5*a**4 + 20*a**3 - 40*a**2 - 30*a - 10. Let u(q) = 10*i(q) + m(q). Solve u(d) = 0.
-2, 0, 2
Let d(x) = x**2 + 25*x - 186. Let b be d(6). Factor 4/3*o**2 + b + 2/3*o**3 + 2/3*o.
2*o*(o + 1)**2/3
Let h(m) be the first derivative of 2*m**6/3 + 48*m**5/5 + 46*m**4 + 80*m**3 + 50*m**2 - 170. Factor h(j).
4*j*(j + 1)**2*(j + 5)**2
Let g be (((-192)/(-16))/(-72))/((-7)/(756/8)). What is y in -g*y**3 + 6 - 3/4*y**4 + 3/2*y**2 + 9*y = 0?
-2, -1, 2
Suppose p = -2*p. Let n be -3 + 10 + 49/(-5 - 2). Factor n*q - 1/2*q**5 + 0 + 0*q**2 + p*q**4 + 0*q**3.
-q**5/2
Let d(p) be the second derivative of -361*p**5/4 - 95*p**4/3 - 10*p**3/3 + 47*p. Factor d(f).
-5*f*(19*f + 2)**2
Let h(a) = -2*a**3 + a**2 - 1. Let n(w) = -12*w**3 + 60*w**2 + 224*w + 312. Let q(x) = -8*h(x) + n(x). Solve q(k) = 0 for k.
-5, -4
Let b(s) be the first derivative of s**7/105 - s**5/25 + s**3/15 - 10*s - 17. Let u(c) be the first derivative of b(c). Find q such that u(q) = 0.
-1, 0, 1
Let g(y) be the first derivative of -1/35*y**5 + 5/56*y**4 + 1/280*y**6 + 7 - 1/7*y**3 + 0*y + 1/2*y**2. Let z(u) be the second derivative of g(u). Factor z(c).
3*(c - 2)*(c - 1)**2/7
Let y(m) = -2*m**3 + m - 1. Let u(z) = 6*z**3 - 704*z**2 + 972*z - 278. Let s(a) = u(a) - 2*y(a). Factor s(d).
2*(d - 69)*(d - 1)*(5*d - 2)
Let x be -11 - -1 - (-1204)/120. Let m(n) be the third derivative of 0*n**4 - 7*n**2 + 0*n**3 - x*n**6 + 0 + 0*n + 0*n**5. Let m(f) = 0. Calculate f.
0
Let j be (-662)/(-930) - 4/(-60)*-6. Let c = j + 2/93. Suppose c - 2/3*i**3 + 5/3*i**2 - 4/3*i = 0. Calculate i.
1/2, 1
Let l = -48 + -227. Let q = -3023/11 - l. Determine d, given that q*