 = k + 297/70. Find h such that 1/7*h - 1/7*h**2 - 1/7*h**3 + 0 + p*h**4 = 0.
-1, 0, 1
Let q = 7353/2030 - 1227/406. Factor q*y**2 - 18*y + 135.
3*(y - 15)**2/5
Suppose 501 = -180*h + 1708 - 847. Let 10/3 - 7/3*z + 1/3*z**h = 0. Calculate z.
2, 5
Find u such that 5382*u**2 - 35712*u + 124*u**3 + 2/3*u**4 + 55296 = 0.
-96, 3
Let a be (-72 - 2289)*(4/(-6))/(-2). Let v = a - -790. Determine u, given that -1/2*u**v - u**2 + 1/2*u + 1 = 0.
-2, -1, 1
Suppose 10*v - 11*v + 17 = 0. Let u = -15 + v. Solve 8*i**2 - i**4 + u*i**5 + 7*i**4 - 12*i**4 = 0 for i.
-1, 0, 2
Let q(d) be the third derivative of d**7/350 - d**6/200 - 37*d**5/100 + 121*d**4/40 - 42*d**3/5 - 5489*d**2. Solve q(a) = 0 for a.
-7, 1, 3, 4
Let x(o) be the first derivative of 0*o + 72 - 5/6*o**3 + 3/2*o**2 - 1/8*o**4. Factor x(u).
-u*(u - 1)*(u + 6)/2
Suppose 0 = b - 0*k + 4*k - 19, 4*b = -k + 31. Suppose b*o = 10 + 4. Factor -x + 3*x + 206*x**2 - 204*x**o.
2*x*(x + 1)
Suppose -3*f + 3*b = -4 - 5, -2 = -b. Let r(g) be the second derivative of -1/4*g**4 - 9*g - 1/4*g**3 + 0 - 3/40*g**f + 0*g**2. Factor r(u).
-3*u*(u + 1)**2/2
Let m = -3326/279 + 98/9. Let n = 2686/341 - m. Solve n*d + 2/11*d**3 + 28/11*d**2 + 0 = 0.
-7, 0
Let k(d) be the first derivative of -42*d**2 - 129/4*d**4 - 1/2*d**6 + 0*d - 36/5*d**5 - 60*d**3 + 9. What is w in k(w) = 0?
-7, -2, -1, 0
Suppose g + 69*n = 71*n - 10, 3*n = g + 17. Let v(p) be the second derivative of 19/4*p**4 + g*p**3 + 21/20*p**5 + 0 + 5*p - 6*p**2. Let v(u) = 0. What is u?
-2, -1, 2/7
Let j(w) = -w**2 + 12*w - 31. Let c be j(6). Factor -11*i**3 - c*i**3 + 34*i**3 - 13*i**3 - 5*i**4.
-5*i**3*(i - 1)
Suppose -5*p - 15 = -25. Suppose 0 = -4*o + 5*h + 60, -p*o - h + 15 = -29. Let 15*l**5 - 48*l**5 + 15*l**5 + o*l**5 = 0. Calculate l.
0
Let v(b) = b**2 + 62*b - 165. Let s be v(-46). Let x = s - -906. Let -1/3*c**4 + 5/3*c**x + 0 + 0*c + 1/3*c**2 - 5/3*c**3 = 0. Calculate c.
-1, 0, 1/5, 1
Let o(y) be the first derivative of 5*y**3/3 + 815*y**2/2 - 820*y - 324. Factor o(a).
5*(a - 1)*(a + 164)
Let -40/3 + 154/9*q - 32/9*q**2 - 2/9*q**3 = 0. What is q?
-20, 1, 3
Let s be (-8)/(-2)*(175/20 - 8). Let d(j) be the second derivative of 0 + 0*j**2 - 1/30*j**5 + 0*j**s - 14*j + 2/9*j**4. Suppose d(y) = 0. What is y?
0, 4
Let i = 77/19 - 1585/513. Let d(u) be the first derivative of 1/3*u**2 + 32 + 19/18*u**4 - i*u**3 + 0*u + 2/27*u**6 - 22/45*u**5. Solve d(x) = 0 for x.
0, 1/2, 1, 3
Let h(l) = 54*l - 133. Let o(c) = -29*c + 67. Let n(j) = -2*h(j) - 5*o(j). Let y be n(2). Solve 4/5 + 31/5*q**2 - 4*q + q**y - 7/5*q**4 - 13/5*q**3 = 0 for q.
-2, 2/5, 1
Let v(r) be the first derivative of 5*r**3/3 - 500*r**2 - 1005*r + 821. Factor v(q).
5*(q - 201)*(q + 1)
Let d(i) be the first derivative of i**4/12 - 22*i**3 + 1600*i**2 + 20000*i/3 + 852. Suppose d(g) = 0. What is g?
-2, 100
Suppose 20 = -x + 3*f - 5, 4*x - f = -1. Factor -1 + 33/10*j + 7/10*j**x.
(j + 5)*(7*j - 2)/10
Find a, given that -14/5*a**3 + 0 - 2/5*a**4 + 2*a**2 + 30*a = 0.
-5, 0, 3
Let w(t) be the third derivative of -2*t**3 + 0 + 0*t - 27*t**2 + 3/4*t**5 - 3*t**4 + 13/40*t**6. Factor w(r).
3*(r - 1)*(r + 2)*(13*r + 2)
Factor -128/7*p + 2/7*p**3 + 18/7*p**2 - 312/7.
2*(p - 6)*(p + 2)*(p + 13)/7
What is u in 3119*u + 33713*u - u**4 + 12560*u + 126*u**3 - 3781*u**2 - 972*u**2 - 153664 = 0?
7, 56
Suppose 7*p - 3*p + 454 = 3*v, 3*v - 434 = -p. Suppose -v*q = -165*q + 57. Let -2/7*a**q + 0*a - 2/7*a**4 + 0 + 2/7*a**2 + 2/7*a**5 = 0. What is a?
-1, 0, 1
Let 297*h**2 + 28034 - 274132 + 798*h**2 - 148286 + 93572*h + 145*h**2 + 4*h**3 = 0. What is h?
-157, 4
Factor 0 - 15*c**2 + 5/4*c**3 + 0*c.
5*c**2*(c - 12)/4
Let v(d) be the first derivative of 5*d**6/9 - 18*d**5/5 - 275*d**4/6 - 722*d**3/9 - 10*d**2 + 176*d/3 + 8309. Suppose v(a) = 0. What is a?
-4, -1, 2/5, 11
What is f in 112/3*f - 416 + 22/9*f**2 - 2/9*f**3 = 0?
-13, 12
Suppose 41*l - 458 = -130. Solve -9*p**2 + 0*p + 2*p**3 + 35*p + 16*p - 30 + l*p**4 - 17*p**3 - 5*p**4 = 0 for p.
-2, 1, 5
Suppose -210 = 3*l + 5*c - 229, 5*l - 4*c - 7 = 0. Let r be l*(-3)/(-27) + (-156)/(-108). Factor -r*u - 2/9*u**2 + 0.
-2*u*(u + 8)/9
Let x(o) be the second derivative of 0*o**3 + 3*o + 0 + 0*o**2 + 1/3*o**4 + 1/10*o**5. Let x(h) = 0. What is h?
-2, 0
Let x be 7 + (-7 - -2) + 2 + -3. Let k be (388/582)/(x - 3/4). Suppose 64/3*h**4 + k*h**2 - 44/3*h**3 + 0*h - 28/3*h**5 + 0 = 0. Calculate h.
0, 2/7, 1
Let l = -6929/10 - -693. Let v(w) be the second derivative of -w**2 + 1/3*w**3 + 0 - l*w**5 - 10*w + 1/6*w**4. Solve v(h) = 0 for h.
-1, 1
What is n in -258/19 - 80/19*n + 2/19*n**2 = 0?
-3, 43
Let 6/11*l**3 + 2/11*l**2 + 0*l + 0 = 0. Calculate l.
-1/3, 0
Let l(x) be the second derivative of x**4/6 - 44*x**3 + 4356*x**2 - 404*x. Factor l(i).
2*(i - 66)**2
Let v(l) = -l**2 + 39*l + 4180. Let k be v(87). Factor -3/5*y**5 + 0*y - 1/5*y**2 + 0 - 1/5*y**3 + y**k.
-y**2*(y - 1)**2*(3*y + 1)/5
Let i(o) be the first derivative of 3*o**5/5 - 33*o**4/4 + 40*o**3 - 72*o**2 - 305. Let i(j) = 0. What is j?
0, 3, 4
Let f = -232 + 252. Suppose 5*v - l = 13, 4*v - 6*l + 2*l = f. Solve 0*s**v + 1/4*s**3 - s + 0 = 0 for s.
-2, 0, 2
Suppose -3*m = 24 + 168. Let x = 69 + m. Determine r, given that -26*r + 19*r**4 + 5*r + x*r**5 + 6*r**4 - 25*r**2 + r + 15*r**3 = 0.
-4, -1, 0, 1
Let g = 1115/2118 - 28/1059. Find u, given that 1/4*u**2 + 1/4 + g*u = 0.
-1
Let n be 2*38*24/1368. Let n*d + 1/3*d**2 - 1/3*d**4 - 4/3*d**3 + 0 = 0. What is d?
-4, -1, 0, 1
Let b(c) = -c**3 - 5*c**2 - 2*c - 5. Let j be b(-5). Let u be 25*(4/j + 0). Factor 34*s**2 + 56*s**3 - 9 + 13 + 28*s - u*s**3 + 26*s**2.
4*(s + 1)*(3*s + 1)**2
Let g(v) = 30*v**3 - 210*v**2 - 265*v + 75. Let t(f) = 5*f**3 - 35*f**2 - 44*f + 12. Let h(j) = 4*g(j) - 25*t(j). Suppose h(q) = 0. Calculate q.
-1, 0, 8
Let -5/4*d**3 + 190*d + 420 + 65/4*d**2 = 0. What is d?
-4, 21
Let x(t) be the first derivative of -14*t**3/9 - 286*t**2 + 246*t - 2290. Factor x(r).
-2*(r + 123)*(7*r - 3)/3
Let v(b) be the third derivative of -b**7/1680 - b**6/80 - 7*b**5/160 - 5*b**4/96 - 1270*b**2. Let v(f) = 0. Calculate f.
-10, -1, 0
Let l(m) be the second derivative of -m**8/1008 - m**7/315 + 27*m**2/2 - 5*m. Let f(y) be the first derivative of l(y). Factor f(q).
-q**4*(q + 2)/3
Let b be 16 + 22/(-660)*476. Let r(x) be the first derivative of 1/10*x**4 - 1/25*x**5 - 1/10*x**2 + b*x**3 - 1/30*x**6 - 1/5*x - 28. Find w such that r(w) = 0.
-1, 1
Factor 3761*r + 8288*r + 2*r**5 - 6561*r + 86*r**4 + 1260*r**3 + 6664*r**2.
2*r*(r + 1)*(r + 14)**3
Let z(p) = 8*p**2 - 3*p. Let h be z(2). Let a be h + -8 + -9 + -7. Factor 0 + 0*n**3 + 2/7*n**4 + 0*n - 2/7*n**a.
2*n**2*(n - 1)*(n + 1)/7
Let l(g) = 1476 - 1563 + g**3 - 3*g - 30*g**2 - 2*g**3. Let n be l(-30). Let -3/4*w + w**2 - 1/4*w**n + 0 = 0. What is w?
0, 1, 3
Let v(u) be the third derivative of -20*u**2 + 5/3*u**3 + 1/120*u**6 - 1/15*u**5 + 0 + 0*u - 7/24*u**4. Suppose v(f) = 0. What is f?
-2, 1, 5
Let x(y) be the first derivative of 3/28*y**4 - 225/7*y + y**3 - 15/14*y**2 - 117. Factor x(b).
3*(b - 3)*(b + 5)**2/7
Determine b so that -4*b**2 + 69829 - 5584*b - 576975 - 1075983 - 365687 = 0.
-698
Let q(i) be the third derivative of -i**5/160 - 3*i**4/64 + 11*i**3/2 + i**2 + 250*i + 1. Factor q(w).
-3*(w - 8)*(w + 11)/8
Let b(h) be the third derivative of -h**7/105 + 7*h**6/20 - 3*h**2 + 240*h. Factor b(t).
-2*t**3*(t - 21)
Find w, given that -549/2*w**2 - 543/2 - 1089/2*w - 3/2*w**3 = 0.
-181, -1
Let i = 282973 + -565943/2. Factor -9*n + i*n**3 + 0 - 15/4*n**2.
3*n*(n - 4)*(2*n + 3)/4
Let v(j) be the third derivative of -11/120*j**6 + 1/70*j**7 + 5/6*j**4 + 13 + 1/15*j**5 + 2*j**2 - 8/3*j**3 + 0*j. Solve v(a) = 0 for a.
-4/3, 1, 2
Let m = 42 - 34. Let n(v) = 4*v - 28. Let l be n(m). Solve -4*h**2 + 3*h**3 + 3*h**3 + 2*h**2 - 4*h**l = 0 for h.
0, 1/2, 1
Let k(t) = t**2 + 27*t + 91. Let y be k(-26). Suppose 0 = -15*p + y - 35. Find i such that -1/3*i**p - i + 4/3 = 0.
-4, 1
Let r be (-1 - -6) + (-4 - -1). Factor 121*n**2 + 23*n**3 - 48*n**2 - 8*n**3 - 53*n**r + 5*n.
5*n*(n + 1)*(3*n + 1)
Suppose 0 = -3*m + 6*i + 51, -2*m + i + 10 = -m. Let d(w) be the second derivative of -13*w + 1/12*w**4 + 0 - 1/2*w**2 + 0*w**m. Factor d(c).
(c - 1)*(c + 1)
Let t(v) be the second derivative of 4/105*v**6 + 2/147*v**7 + 0*v**2 - 2/21*v**