b = -150 - -130. Let a be (-42)/(-135) + b/(-150). Factor 0*i - 4/9*i**3 - a*i**2 + 0 + 4/9*i**5 + 4/9*i**4.
4*i**2*(i - 1)*(i + 1)**2/9
Factor -4*t**3 - 87*t + 3*t**3 - 146*t - 512 + 41*t - 24*t**2.
-(t + 8)**3
Let r = 107 - 75. Suppose -2*i = 2*i - r. Factor 3*s + 3*s - i*s + 2*s**3.
2*s*(s - 1)*(s + 1)
Let s(f) be the first derivative of f**6/40 + f**5/15 + f**4/24 + 9*f**2/2 - 14. Let z(j) be the second derivative of s(j). What is u in z(u) = 0?
-1, -1/3, 0
Suppose 4/3*y**4 + 0 + 0*y + 10/9*y**3 + 0*y**2 + 2/9*y**5 = 0. Calculate y.
-5, -1, 0
Let x be (-4 - 2)*8/(-84). Let f be (-264)/(-3564) - 26/(-378). Factor -1/7 + 9/7*m**2 - 11/7*m**3 + x*m**4 - f*m.
(m - 1)**3*(4*m + 1)/7
Let u(r) be the second derivative of r**5/190 - 4*r**4/19 + 64*r**3/19 - 512*r**2/19 - 233*r. Factor u(g).
2*(g - 8)**3/19
Suppose -2*a + 2/7*a**3 + 56 - 20/7*a**2 = 0. Calculate a.
-4, 7
Let a = 29 + -24. What is r in -4*r**a + 8*r**3 - r - 4*r + r = 0?
-1, 0, 1
Factor 14*u**2 - 9*u**2 + 2*u**4 - 18*u**3 + 18*u - 5*u**2 - 2*u**2.
2*u*(u - 9)*(u - 1)*(u + 1)
Let b be 4277/235 + -19 + 2. Find p such that 0 + 6/5*p**2 + 2/5*p**5 - 2*p**3 + 8/5*p - b*p**4 = 0.
-1, 0, 1, 4
Let d(q) be the second derivative of 1/6*q**4 + 0*q**2 - 2/25*q**5 - 2/15*q**3 - 8*q + 0 + 1/75*q**6. Factor d(b).
2*b*(b - 2)*(b - 1)**2/5
Let h = -104/15 - -7. Let w(b) be the third derivative of 0*b**4 + b**2 + 0*b + 0 + h*b**5 + 0*b**3. Let w(m) = 0. Calculate m.
0
Suppose z + m + 6 = -1, -5*m = 5. Let o = 4 + -15. Let r(g) = 13*g**2 - 13. Let i(l) = -7*l**2 + 7. Let h(j) = o*i(j) + z*r(j). What is k in h(k) = 0?
-1, 1
Let x(w) be the first derivative of -1/38*w**4 - 18 + 0*w**2 + 0*w + 4/57*w**3. Determine d, given that x(d) = 0.
0, 2
Suppose 3*i - 4*g + 8 = 0, 2 = i + 6*g - 5*g. Let a(v) be the third derivative of 6*v**2 + 0 + 1/40*v**5 - 1/4*v**3 - 1/32*v**6 + 5/32*v**4 + i*v. Factor a(r).
-3*(r - 1)*(r + 1)*(5*r - 2)/4
Let i = 54253/2 - 27125. Factor 0*m + i*m**3 - 3/2*m**5 - 3/2*m**4 + 0 + 3/2*m**2.
-3*m**2*(m - 1)*(m + 1)**2/2
Let t be 2/(-12)*2*-6. Factor -10*u**t + 20*u**3 + 11*u**2 - 13*u**2 - 40 - 68*u + 4*u**4.
4*(u - 2)*(u + 1)**2*(u + 5)
Let r(u) be the second derivative of u**4/4 + 9*u**3/2 + 27*u**2 + 3*u + 22. Solve r(s) = 0.
-6, -3
Let h(c) be the first derivative of 0*c**5 + 0*c - 1/8*c**4 + 1/8*c**2 + 1/24*c**6 + 7 + 0*c**3. Determine w, given that h(w) = 0.
-1, 0, 1
Let f(i) be the second derivative of -i**4/30 - 278*i**3/15 - 19321*i**2/5 + 183*i + 2. Solve f(s) = 0.
-139
Let w(j) be the first derivative of j**5/60 + j**4/9 + 2*j**3/9 + 21*j + 6. Let k(z) be the first derivative of w(z). What is m in k(m) = 0?
-2, 0
Let o(l) be the second derivative of 4/7*l**2 + 1/70*l**5 - 1/105*l**6 + 3/14*l**4 + 0 + 11/21*l**3 - 18*l. Solve o(w) = 0 for w.
-1, 4
Suppose -4*n = -6*n + 6. Let u(a) be the first derivative of 0*a**n - 4 + 0*a**2 + 1/16*a**4 + 0*a + 1/20*a**5. Factor u(t).
t**3*(t + 1)/4
Let c be 15/42*924/440. Let d(b) be the first derivative of b**2 + 1/4*b**3 + c*b + 3 - 1/8*b**4. Determine x, given that d(x) = 0.
-1, -1/2, 3
Let j(u) = u**2 - u - 1. Let c(v) = -4*v**2 - 1169*v - 114074. Let g(p) = -c(p) - j(p). Find m, given that g(m) = 0.
-195
Let w(b) be the first derivative of b**6/600 + 3*b**5/200 - b**4/10 + 19*b**3/3 - 16. Let r(k) be the third derivative of w(k). Factor r(i).
3*(i - 1)*(i + 4)/5
Let y(w) = 2*w**2 - 14*w - 4. Let d = -25 - -24. Let r(k) = -k**2 + k. Let h(q) = d*y(q) - 6*r(q). Find g such that h(g) = 0.
-1
Let u(x) be the second derivative of x**6/10 - 69*x**5/10 + 573*x**4/4 - 506*x**3 + 726*x**2 + 13*x + 2. What is r in u(r) = 0?
1, 22
Let g be ((-710)/4)/(-5) + 2. Let o(s) = 3*s**2 - 140*s - 1308. Let v be o(-8). Let -g*y**3 + 0 + 98*y**5 + 2*y + 133/2*y**v - 4*y**2 = 0. Calculate y.
-1, -1/4, 0, 2/7
Let u(j) be the third derivative of -j**6/150 + 11*j**5/75 - 2*j**2 - 2. Solve u(l) = 0 for l.
0, 11
Let u = 4/7 + -2/7. Let v = -1130/9 + 8072/63. What is y in 12/7*y + u*y**2 + v = 0?
-3
Let v(l) be the third derivative of 0*l - 1/150*l**5 - 2/15*l**4 + 0*l**3 + 0 - 7*l**2. Solve v(c) = 0 for c.
-8, 0
Let z(a) = 7*a**2 + 50*a + 58. Let d(p) = 20*p**2 + 152*p + 172. Let l(w) = 3*d(w) - 8*z(w). Let l(r) = 0. Calculate r.
-13, -1
Let s(z) be the first derivative of 1/11*z**2 - 9 - 1/11*z**4 + 0*z + 0*z**5 + 0*z**3 + 1/33*z**6. Solve s(c) = 0 for c.
-1, 0, 1
Factor 0*t + 1/3*t**4 + 0*t**2 + 0 + 14/3*t**3.
t**3*(t + 14)/3
Let p(u) be the second derivative of -3/20*u**5 + 0*u**3 - 1/4*u**4 - 1/40*u**6 + 0 - 5/2*u**2 + 5*u. Let m(h) be the first derivative of p(h). Factor m(c).
-3*c*(c + 1)*(c + 2)
Solve 60 - 26*z - 89*z + 15*z**3 - 5*z**4 + 45*z**2 - 3*z**4 + z**4 + 2*z**4 = 0 for z.
-3, 1, 4
Let b = -69 + 160. Factor b*x - 80 - 164*x + 113*x - 5*x**2.
-5*(x - 4)**2
Let l(r) = 9*r**3 - 6*r + 6. Let k(s) = 0*s**2 - 13*s + 6*s**2 + 2 - 7*s**2 + 11 + 19*s**3. Let m(c) = -6*k(c) + 13*l(c). What is p in m(p) = 0?
-2, 0
Let p(v) be the second derivative of v**6/10 - 33*v**5/20 + 5*v**4 + 16*v**3 - 7*v. Let p(q) = 0. What is q?
-1, 0, 4, 8
Let z be (3 - 35/25)*(-10)/(-4). Suppose z*q - 12 = -4*n, 5*n - 4*q + 14 = 2. Let n*g + 2/13*g**2 + 2/13*g**3 + 0 = 0. What is g?
-1, 0
Find h such that -30 + 9/2*h**2 - 17*h - 1/4*h**4 + 9/4*h**3 = 0.
-2, 3, 10
Let y(r) be the first derivative of -4*r - 5 - 1/9*r**3 + 2/3*r**2 - 1/18*r**4. Let j(s) be the first derivative of y(s). Factor j(o).
-2*(o - 1)*(o + 2)/3
Find h such that -2/19*h - 2/19*h**2 + 4/19 = 0.
-2, 1
Let d(w) = 5*w**3 + 45*w**2 - 110*w + 50. Let y(i) = 2*i**3 + 23*i**2 - 55*i + 24. Let m(p) = 3*d(p) - 5*y(p). Find v such that m(v) = 0.
-6, 1
Let h = -1/53 + 481/212. Let 0 - 3/4*d**3 + 9/4*d**2 - 3/4*d**5 + 3/2*d - h*d**4 = 0. Calculate d.
-2, -1, 0, 1
Suppose 3 = -j - 5*y - 2, 5*y = -10. Let g(i) be the first derivative of 1/6*i**3 - 9/20*i**j - 7/16*i**4 + 0*i**2 + 0*i + 5. Let g(s) = 0. What is s?
-1, 0, 2/9
Let t(q) be the first derivative of -1/6*q**4 - 19 - 5/3*q**2 + 0*q - 4/3*q**3. Factor t(r).
-2*r*(r + 1)*(r + 5)/3
Let t(a) = a**3 + 7*a**2 - 2*a - 6. Let x be t(-7). Factor 3*g**2 - 13*g + 4*g - x*g + 2*g.
3*g*(g - 5)
Determine u so that -32*u**2 + 162/5 - 2/5*u**4 - 36/5*u**3 + 36/5*u = 0.
-9, -1, 1
Let y(l) = 6*l**3 + 30*l**2 - 21*l - 21. Let z(v) = -2 + 4*v**2 - 11*v + 7*v - 2 + v**3 + 2*v**2. Let q(a) = 4*y(a) - 21*z(a). Factor q(g).
3*g**2*(g - 2)
Let n(d) = 2*d**2 - 4 + 3*d - 2 + 6 + 3. Let u be n(3). Determine a so that 5*a**3 - 12*a**2 + a**3 + u*a**3 - 15*a**4 = 0.
0, 2/5, 2
Suppose -3*p = 3*j + 3, -18 = -3*p - j + 5*j. Suppose 0 = 3*d - 5*x - 34, 0 = -2*d - 2*x - 3 - 1. Factor -d - 1 + 1 + 3*s**p.
3*(s - 1)*(s + 1)
What is d in 64/7 - 2/7*d**2 + 4*d = 0?
-2, 16
Let v(l) be the second derivative of l**7/420 - l**6/300 - l**5/40 + l**4/120 + 2*l**3/15 + l**2/5 + l + 43. Factor v(m).
(m - 2)**2*(m + 1)**3/10
Let r = 26903/2756 - 8/689. Let -51/4*i**2 - 9/4*i + 3/2 + 3*i**5 + 9/4*i**4 - r*i**3 = 0. What is i?
-1, 1/4, 2
Suppose 0 = 6*h - 27 + 9. Solve 4*y**2 - 9 - h - y**2 = 0.
-2, 2
Let m(o) be the third derivative of -o**7/525 + o**6/15 - 13*o**5/25 - 11*o**4/3 - 121*o**3/15 + o**2 + 35. Factor m(u).
-2*(u - 11)**2*(u + 1)**2/5
Suppose -4*d + d + 3*o = 33, -5*d = o + 61. Let b be d/(-54) - 25/(-9). Factor -v**b - 21*v**5 + 18*v**5 - 2*v**3 + 6*v**4.
-3*v**3*(v - 1)**2
Let i(u) = 2*u**2 + 17*u - 17. Let k be i(1). Solve 8/9*w + 0 + 40/9*w**k + 14/9*w**4 + 46/9*w**3 = 0.
-2, -1, -2/7, 0
Let k(q) be the first derivative of -q**4/2 - 26*q**3/3 + 14*q**2 + 42. Find w, given that k(w) = 0.
-14, 0, 1
Let n = 145542/7 + -20790. Solve -n*m**3 + 8/7*m + 0 + 4/7*m**2 = 0 for m.
-2/3, 0, 1
Suppose -96*g + 24 = -88*g. Let l(c) be the third derivative of -c**2 + 0 + 15/8*c**4 + 0*c + 1/40*c**6 + 7/20*c**5 + 9/2*c**g. Factor l(t).
3*(t + 1)*(t + 3)**2
Let r(f) = 2*f**5 + 12*f**4 - 2*f**3 - 15*f**2 + 6*f - 3. Let c(b) = -b**5 - 11*b**4 + b**3 + 15*b**2 - 8*b + 4. Let p(n) = -3*c(n) - 4*r(n). Solve p(a) = 0.
-3, -1, 0, 1
Let q(t) = 32*t**3 + 52*t**2 + 24*t - 8. Let p(d) = -31*d**3 - 52*d**2 - 23*d + 7. Let m(g) = -4*p(g) - 3*q(g). Factor m(b).
4*(b + 1)**2*(7*b - 1)
Let r be (-38)/1 + (4 - 4). Let a = -26 - r. Determine g, given that -a*g**4 - 3*g - 39*g**2 - 4*g**3 + g**3 + 6*g**3 + 48*g**4 + 3 = 0.
-1, 