/3 + 210*o**2 + 2205*o/4 - 43. Suppose k(l) = 0. What is l?
-21/8
Suppose -5*l - b + 0*b = 39, -2*l = 2*b + 22. Let z = l - -11. Find x, given that -2*x**5 - 4*x**4 + 6*x**4 - 4*x**5 + z*x**5 = 0.
0, 1
Let o(a) be the first derivative of 3*a**4/4 - 17*a**3 + 57*a**2 + 168*a + 4. Find d, given that o(d) = 0.
-1, 4, 14
Let p(z) be the second derivative of -z**5/120 + z**4/9 - 5*z**3/12 + z - 17. Determine n so that p(n) = 0.
0, 3, 5
Let f = -43903/15 + 2927. Find s, given that f*s**2 + 0*s - 2/15 = 0.
-1, 1
Let j(u) = 2*u**4 + 14 + 3*u**2 - 4*u**2 - u**4 - 15. Let l(h) = -3 + 2*h - 1 - 2*h**3 + 6 - h**4 + h**2. Let d(i) = 6*j(i) + 3*l(i). What is w in d(w) = 0?
-1, 0, 1, 2
Let l be 6/12 + 7/2. Suppose -l*p = 2*t - 24, 2*p = 7*t - 2*t. Factor 6 - 2 + 10*o**3 + 14*o - 4*o**2 + t*o**4 + 22*o**2.
2*(o + 1)**3*(o + 2)
Let w(o) = o**3 + 6*o**2 + 3*o + 15. Let t be w(-6). Let q be ((-40)/(-144))/((-5)/t). Find p such that q*p + 1/6 - 1/3*p**2 = 0.
-1/2, 1
Let w(d) be the third derivative of d**6/660 + d**5/330 - d**4/132 - d**3/33 + 32*d**2. Factor w(a).
2*(a - 1)*(a + 1)**2/11
Let h(s) be the second derivative of 0 - 1/30*s**4 + 4/5*s**3 + 0*s**2 - s. Factor h(n).
-2*n*(n - 12)/5
Let 20/11*h**2 + 48/11 + 56/11*h + 2/11*h**3 = 0. Calculate h.
-6, -2
Factor 36*m + 90*m + 21*m**2 - 22*m**2 + 42*m - 236 + 69*m.
-(m - 236)*(m - 1)
Suppose 44*x = 42*x + 28. Suppose 0 = -x*d + 12*d + 6. Determine p, given that -2/17*p**5 + 0 + 0*p - 16/17*p**d - 10/17*p**4 - 8/17*p**2 = 0.
-2, -1, 0
Suppose 0 = -2*k - 5*k - 21. Let g(y) = y**4 - y**3 + 1. Let j(i) = 3*i**4 - 4*i**3 + 2*i**2 + 3. Let w(a) = k*j(a) + 12*g(a). Determine c, given that w(c) = 0.
-1, 1
Let x(n) = n - 3. Let y be x(4). Let q = y + 2. Factor t + t**q - 3*t + 0*t - 4*t**2 - 3*t**3.
-2*t*(t + 1)**2
Let p = 2007 + -12041/6. Factor 1/6*j**2 + p*j**4 - 1/3*j**3 + 0 + 0*j.
j**2*(j - 1)**2/6
Let l(c) = -2*c**2 - 18*c - 16. Let h(z) be the first derivative of -2*z**3 - 27*z**2 - 48*z - 1. Let j(x) = 3*h(x) - 8*l(x). What is b in j(b) = 0?
-8, -1
Factor -24 + 15*p**2 + 11*p**2 + 22*p - 22*p**3 + 2363*p**4 - 2365*p**4.
-2*(p - 1)**2*(p + 1)*(p + 12)
Factor 1/7*r**5 - 162/7*r**2 + 0 + 16/7*r**4 + 0*r + 45/7*r**3.
r**2*(r - 2)*(r + 9)**2/7
Let z(a) = -4*a**2 + a + 1. Let k(b) = -26*b**2 - 14*b - 44. Let h(u) = 2*k(u) - 12*z(u). Suppose h(i) = 0. What is i?
-5
Suppose -50*i + 53*i + 2*r = 12, r + 1 = 2*i. Suppose -4*j = -4*d + 4, 5*d + j - 10 = 7. Factor 0 + 4/3*p**d - 4/3*p - 4/3*p**4 + 4/3*p**i.
-4*p*(p - 1)**2*(p + 1)/3
Let s(f) be the first derivative of -f**4/2 - 22*f**3/3 - 10*f**2 + 380. Factor s(r).
-2*r*(r + 1)*(r + 10)
Let g(m) be the third derivative of -15*m**8/112 - 11*m**7/14 - 37*m**6/24 - 5*m**5/4 - 5*m**4/12 - 220*m**2 + 3. Solve g(c) = 0 for c.
-2, -1, -1/3, 0
Let s(q) be the first derivative of -1/4*q**3 - 11 - 1/4*q - 1/16*q**4 - 3/8*q**2. Suppose s(i) = 0. What is i?
-1
Suppose 22*h + 30*h - 25*h**2 - 35 + 37*h - 5*h**3 - 24*h = 0. What is h?
-7, 1
Let b(z) be the second derivative of 5*z**7/42 - 7*z**6/6 + 19*z**5/4 - 125*z**4/12 + 40*z**3/3 - 10*z**2 - 80*z. Determine r so that b(r) = 0.
1, 2
Let d = -35 - -44. Suppose -y - 1 = -5*c + 6*c, 3*c - y = d. Solve -2*m**3 + m**2 + 5/2*m - 1/2*m**5 + 1 - c*m**4 = 0 for m.
-2, -1, 1
Let o(x) be the second derivative of 2*x**7/105 - 8*x**6/75 - 19*x**5/25 - 14*x**4/15 - 397*x. Determine k so that o(k) = 0.
-2, -1, 0, 7
Let g(m) be the third derivative of 0*m + 3/50*m**5 - 1/30*m**4 + 39*m**2 + 0*m**3 + 0. Factor g(o).
2*o*(9*o - 2)/5
Let i = -115 + 119. Suppose i*q + 19 = z, -2*z + 25 = -5*q - 1. Factor 0 + 1/2*b**2 - 1/4*b**z - 1/4*b.
-b*(b - 1)**2/4
Find q such that -6/5*q**2 - 16/5*q + 6/5 = 0.
-3, 1/3
Suppose -2*l + 39 = 5*m, -l = -54*m + 59*m - 32. Factor 3/5*u**m - 3/5*u**4 - 3/5 + 3/5*u - 6/5*u**3 + 6/5*u**2.
3*(u - 1)**3*(u + 1)**2/5
Let l be (-360)/40 - (-71)/7. Factor -1/7*d**4 + 20/7*d - 18/7*d**2 - l + d**3.
-(d - 2)**3*(d - 1)/7
Let a(o) be the first derivative of o**6/300 - 2*o**5/75 - o**4/12 - o**2 + 2*o - 11. Let v(w) be the second derivative of a(w). Factor v(g).
2*g*(g - 5)*(g + 1)/5
Let p be -2*((-4)/4)/1. Solve 22*i**3 + 27*i + 3*i**5 - 18*i**4 - 6 - 48*i**p + 25*i**3 - 2*i**3 - 3*i**3 = 0 for i.
1, 2
Suppose 2*o - 23 = 13. Suppose -7*l - 4 + o = 0. Factor -15*z + 0 + 7*z**l + 2 + 11*z + 13*z.
(z + 1)*(7*z + 2)
Let p(o) be the first derivative of -2*o**5/15 - 5*o**4/6 - 8*o**3/9 + 16. Determine k, given that p(k) = 0.
-4, -1, 0
Let d(o) be the third derivative of o**6/2520 - o**5/420 + 7*o**3 - 29*o**2. Let i(k) be the first derivative of d(k). Find h, given that i(h) = 0.
0, 2
Factor 70*v + 5*v**3 - 45/2 - 105/2*v**2.
5*(v - 9)*(v - 1)*(2*v - 1)/2
Let u(a) be the second derivative of a**8/1680 - a**6/45 - 23*a**4/12 - 20*a. Let g(r) be the third derivative of u(r). Suppose g(x) = 0. What is x?
-2, 0, 2
Let h(g) = 2*g + 15. Let d be h(-6). Solve -d*k**3 - 57 + 49 + 0*k + 6*k**2 + 8*k - k**3 - 2*k**4 = 0 for k.
-2, 1
Let m(v) = -3*v**3 + 12*v**2 + 14*v + 5. Let q be m(5). Factor 0*u**4 - 3/4*u**5 + q*u**2 + 3/2*u**3 - 3/4*u + 0.
-3*u*(u - 1)**2*(u + 1)**2/4
Let a(n) be the third derivative of -n**8/84 + 2*n**7/105 + n**6/3 + 8*n**5/15 - 63*n**2. Determine d, given that a(d) = 0.
-2, -1, 0, 4
Let b(x) be the second derivative of -x**6/10 - 6*x**5/5 - 21*x**4/4 - 11*x**3 - 12*x**2 - 3*x + 8. Factor b(t).
-3*(t + 1)**2*(t + 2)*(t + 4)
Let m(s) be the third derivative of -s**8/1176 + s**6/420 - 154*s**2. What is t in m(t) = 0?
-1, 0, 1
Let k(l) = -l**2 - 5*l - 4. Let f(m) = 8*m**2 + 40*m + 32. Let j(h) = 6*f(h) + 51*k(h). Find v, given that j(v) = 0.
-4, -1
Let h(f) = 3*f**2 - 4. Let w be h(-2). Suppose w*q**3 + 0*q**4 + 2*q**4 + 6*q**3 - 16*q**3 = 0. Calculate q.
0, 1
Factor -18*b**2 - 6*b**2 + 4*b**3 + 44*b + 117 - 141.
4*(b - 3)*(b - 2)*(b - 1)
Let d(r) be the third derivative of 1/12*r**5 + 10*r**2 + 0*r**3 + 0 + 0*r - 5/12*r**4. Let d(q) = 0. Calculate q.
0, 2
Let h = 40706/35 + -1163. Let b(c) be the third derivative of -1/735*c**7 + 0 + 0*c**6 + h*c**5 + 1/7*c**3 + 8*c**2 + 2/21*c**4 + 0*c. What is w in b(w) = 0?
-1, 3
Factor -4024*r**3 - 63*r**2 + 13*r - 8*r + 4023*r**3 - 67*r.
-r*(r + 1)*(r + 62)
Let c(u) be the second derivative of 0 - 4/15*u**3 - 1/15*u**4 + 6/5*u**2 - 3*u. Factor c(v).
-4*(v - 1)*(v + 3)/5
Suppose 2*n - 26 = -22*o + 18*o, 2*n = -o + 5. Let h(f) be the second derivative of 0*f**2 - 1/5*f**5 + 0 + o*f - 1/6*f**4 + 2/3*f**3 + 1/15*f**6. Factor h(i).
2*i*(i - 2)*(i - 1)*(i + 1)
Find g, given that 3/2*g**5 + 0*g - 24*g**2 - 12*g**4 + 30*g**3 + 0 = 0.
0, 2, 4
Let x(i) = 8*i**2 - 316*i. Let s(w) = w**2. Let y(t) = -4*s(t) + x(t). What is c in y(c) = 0?
0, 79
Suppose 16*b + 46*b - 205 = 21*b. Determine p so that -12/5*p**2 + 87/5*p**4 + 8/5*p + 63/5*p**b + 0 - 86/5*p**3 = 0.
-2, -1/3, 0, 2/7, 2/3
Let -49/2*l**3 + 16 + 182*l**2 + 110*l = 0. What is l?
-2/7, 8
Let t(n) = -11*n**2 + 2 + 109*n**3 + 4*n - 110*n**3 + 6*n. Let j(c) = 12*c**2 - 9*c - 3. Let p(q) = -6*j(q) - 7*t(q). Find l, given that p(l) = 0.
-2, 2/7, 1
Let j(l) be the first derivative of -9 + 0*l**2 + 6/35*l**5 + 2/21*l**3 + 3/7*l**6 - 5/14*l**4 + 0*l. Find v, given that j(v) = 0.
-1, 0, 1/3
Let l = -5629/3 - -1877. Solve 1/3*s**3 + 0 - l*s - 1/3*s**2 = 0.
-1, 0, 2
Let n(q) be the first derivative of 11 - q**2 + 1/6*q**3 + 2*q. Factor n(b).
(b - 2)**2/2
Let p(i) be the third derivative of -1/4*i**4 + 34*i**2 - 1/105*i**7 + 0*i + 0 + 1/20*i**6 + 1/30*i**5 + 0*i**3. Suppose p(f) = 0. Calculate f.
-1, 0, 1, 3
Let w = 34 - 46. Let x be 4/(4/3) - w/20. Factor 12/5*f**2 + 3/5*f**5 + x*f**3 + 3/5*f + 0 + 12/5*f**4.
3*f*(f + 1)**4/5
Let -2/3*b**3 + 0 - 8/3*b - 8/3*b**2 = 0. Calculate b.
-2, 0
Let o(p) = 5*p**2 - 42*p - 579. Let a(w) = 22*w**2 - 166*w - 2317. Let x(z) = 6*a(z) - 26*o(z). Factor x(f).
2*(f + 24)**2
Let x(t) be the second derivative of t**6/165 - 4*t**5/55 + 13*t**4/66 - 2*t**3/11 + 3*t - 2. Suppose x(l) = 0. Calculate l.
0, 1, 6
Let s be (-4)/6*(-10 + (-157)/(-16)). Factor -s*o**2 + 0 + 3/8*o.
-o*(o - 3)/8
Let j(x) = 3*x**2 - 6*x - 18. Let t(n) = n**2 + n - 1. Let m be 1/(-1)*3 - -4. Let z = -7 + m. Let g(d) = z*t(d) + j(d). Let g(b) = 0. What is b?
-2
Let g(a) be the second derivative of a**5/8 - 5*a**4/24 - 5*a**3/12 + 5*a**2/4 - 14*a + 