.
-5*h*(h + 562)
Factor 103*s**2 + 0 + 0 + 1501*s**2 + 354*s**2 - 2*s**3.
-2*s**2*(s - 979)
Let p be 7 - (-45 - -40) - (1 + 7/(-3)). Suppose 0*m + p*m**2 - 4/3*m**4 - 12 + 0*m**3 = 0. What is m?
-3, -1, 1, 3
Let z(y) be the third derivative of -y**7/630 + 53*y**6/90 - 84*y**5 + 46550*y**4/9 - 343000*y**3/9 - 522*y**2. Suppose z(b) = 0. Calculate b.
2, 70
Let b be ((-5624)/14763)/(1 + 9/(-7)). Determine q so that b - 1/6*q**2 + 7/6*q = 0.
-1, 8
Let l be (1 - (-2470)/184) + 6812/(-39169). Find m such that 27/2 + 3/4*m**2 - l*m = 0.
1, 18
Suppose -96398*q + 96396*q = 0. Let f(h) be the third derivative of -1/540*h**6 + 0*h**5 + 0*h**4 + 0*h - 1/945*h**7 - 4*h**2 + 0*h**3 + q. Solve f(a) = 0.
-1, 0
Suppose 9267*v - 9364*v + 1358 = 0. What is z in -8/3 - 40/3*z**3 + 40/3*z + 50/3*z**4 - v*z**2 = 0?
-1, 2/5, 1
Determine r, given that 50*r**4 - 300*r**2 + 180*r - 24*r**3 + 42*r**3 + 34*r**5 + 47*r**3 - 29*r**5 = 0.
-6, 0, 1
Factor -45*w - 1/2*w**4 - 2*w**3 + 0 + 51/2*w**2.
-w*(w - 3)**2*(w + 10)/2
Let i be ((-147)/42)/(2/(-4) + 0). Let p = -11 - -13. Suppose -5*t**3 + p*t**3 - t**2 - 2*t - i*t + 13*t**2 = 0. Calculate t.
0, 1, 3
Let g(q) be the second derivative of -q**6/20 - 63*q**5/8 - 51*q**4 - 101*q**3 - 13*q + 41. Find b, given that g(b) = 0.
-101, -2, 0
Let b be (-142)/639*306/(-8). Let 1/2*c**5 - b*c**2 - 4 - 11*c + 1/2*c**3 + 5/2*c**4 = 0. Calculate c.
-4, -1, 2
Let p(j) = -j**2 - 49*j + 5103. Let a be p(-100). Solve 0 - 441/2*k - 21*k**2 - 1/2*k**a = 0.
-21, 0
Let j(p) be the second derivative of p**5/5 - 98*p**4/3 + 574*p**3/3 - 380*p**2 + 5660*p. Find i, given that j(i) = 0.
1, 2, 95
Let o(s) = -73*s**3 - 2*s + 1. Let z be o(1). Let v = z + 82. Factor -17*a**4 + 13*a**4 + 6*a**2 + 6*a + 6*a - 10*a**2 + v - 12*a**3.
-4*(a - 1)*(a + 1)**2*(a + 2)
Suppose 8*x - 32 = -8*x. Let m(q) be the second derivative of q**4/4 - 21*q**2/2 + 2*q. Let j(y) = 3*y**2 + y - 20. Let h(z) = x*m(z) - 3*j(z). Factor h(k).
-3*(k - 2)*(k + 3)
Let l(d) be the first derivative of -d**3/5 - 789*d**2/5 + 8932. Let l(g) = 0. What is g?
-526, 0
Let b(n) be the third derivative of -9*n**2 - 1/20*n**6 + 1/105*n**7 + 0 + 1/15*n**5 + 0*n**3 + 0*n + 0*n**4. Determine z, given that b(z) = 0.
0, 1, 2
Let f(h) be the second derivative of 0*h**2 - 2*h - 21 + 19/3*h**4 - 28/3*h**3 - 4/5*h**5 - 2/15*h**6. Factor f(n).
-4*n*(n - 2)*(n - 1)*(n + 7)
Let s(u) = -20*u**5 + 1384*u**4 + 72*u**3 - 24*u**2 - 24*u + 24. Let r(q) = 2*q**5 + q**4 - 3*q**3 + q**2 + q - 1. Let y(p) = -24*r(p) - s(p). Factor y(n).
-4*n**4*(7*n + 352)
Suppose 2*n + 5*g - 384 + 139 = 0, -377 = -2*n + 7*g. Suppose 2/3*v**3 + 590*v - 239/6*v**2 + n = 0. Calculate v.
-1/4, 30
Let u(m) be the first derivative of -174*m**2 + 40*m**3 - 3/5*m**5 + 237 - 3/4*m**4 + 288*m. Suppose u(x) = 0. What is x?
-8, 2, 3
Let u(p) be the second derivative of -p**5/100 - 37*p**4/30 - 142*p**3/15 - 28*p**2 + 3769*p. Factor u(b).
-(b + 2)**2*(b + 70)/5
Suppose 3*k - 2*f = -4*f + 273, -5*f + 273 = 3*k. Solve -1 - 79 + k*q**2 + 95*q**2 - 191*q**2 - 40*q = 0 for q.
-4
Let j(y) be the first derivative of -2*y**3/3 - 259*y**2 + 10384. Suppose j(q) = 0. Calculate q.
-259, 0
Factor -596/7*s**3 + 1458/7 + 58/7*s**4 - 2/7*s**5 + 2484/7*s**2 - 486*s.
-2*(s - 9)**3*(s - 1)**2/7
Factor -2/3*u**5 + 20/3*u**4 + 0*u**2 + 0 + 0*u - 16*u**3.
-2*u**3*(u - 6)*(u - 4)/3
Let b = 2529 - 116359/46. Let s = b + 24/23. Determine i, given that s + 0*i - 1/2*i**2 = 0.
-1, 1
Factor 27517*v**2 - 27469*v**2 - 22*v - 24*v - 2*v - 3*v - 98 + v**3.
(v - 2)*(v + 1)*(v + 49)
Let b(m) be the third derivative of 2*m**2 - 289/9*m**3 + 0*m + 4 - 1/90*m**5 - 17/18*m**4. Find w, given that b(w) = 0.
-17
Let z(r) = -r**2 + r + 2. Let u be z(2). Suppose -11*o = 4*v, -32 = -0*o + 2*o + o + 4*v. Suppose 32/9*y**2 - o*y**4 + 16/9*y + u - 4/3*y**3 = 0. What is y?
-2/3, 0, 1
Let b(k) = 8*k**2 + 10*k + 8. Let q(v) = 14*v**2 + 18*v + 14. Let f(l) = 5*b(l) - 3*q(l). Factor f(t).
-2*(t + 1)**2
Let o(r) be the first derivative of 4/15*r**3 + 4*r**2 - 44/5*r - 38. Factor o(v).
4*(v - 1)*(v + 11)/5
Let b(k) = 34*k**3 + 136*k**2 - 863*k - 1015. Let r(t) = -123*t**3 - 474*t**2 + 3021*t + 3552. Let u(y) = 18*b(y) + 5*r(y). Factor u(z).
-3*(z - 17)*(z - 10)*(z + 1)
Let p(k) = k**3 - 9*k**2 - 6*k - 38. Let s be p(10). What is a in a**3 - 4217*a**2 + 4224*a**s - 7*a - a = 0?
-8, 0, 1
Factor 90*j**2 - 9*j**3 - 86*j**3 + 7 + 5*j**4 + 2 - 9.
5*j**2*(j - 18)*(j - 1)
Let o(m) be the first derivative of 67 - 3/2*m + 1/18*m**3 - 2/3*m**2. Factor o(t).
(t - 9)*(t + 1)/6
Let j(w) be the third derivative of -1/24*w**6 + 0*w - 25/12*w**4 + 0 + 0*w**3 - 83*w**2 - 7/12*w**5. Solve j(p) = 0 for p.
-5, -2, 0
Let m(n) = -3*n**3 + 48*n**2 - 96*n + 69. Let f(r) = r**2 + 1. Let p(y) = -9*f(y) + m(y). Solve p(s) = 0 for s.
1, 2, 10
Let 3*t + 41/10*t**2 + 0 - 11/10*t**4 - 1/5*t**5 + 1/5*t**3 = 0. Calculate t.
-5, -3/2, -1, 0, 2
Let f be ((-4)/(-10))/(38/(-95)) + 10. Suppose -f*h**3 - 12*h**2 - 8*h**4 - 2*h**5 + 12*h + 5*h**5 - 5*h**4 + 19*h**4 = 0. Calculate h.
-2, 0, 1
Let a be 323/95 - 210/150. Factor -2/3*g**a - 2/3*g + 4/3.
-2*(g - 1)*(g + 2)/3
Suppose 2*l + 3*x - 10 = 0, 5*l - 14 = -2*x + 11. What is g in 6409*g**5 - 80*g**3 - 84*g**4 - 34*g + 130*g - 6427*g**l - 64 + 96*g**2 = 0?
-2, 2/3
Let l(t) be the first derivative of 2*t**3/27 + 31*t**2/9 + 368*t/9 + 87. Solve l(p) = 0.
-23, -8
Let n = -7124711/5 - -1424945. Factor -n*a + 23/5*a**2 - 2*a**3 + 0 + 1/5*a**4.
a*(a - 7)*(a - 2)*(a - 1)/5
Let j(a) = 11*a**4 + 22*a**3 - 118*a**2 + 134*a - 49. Let n(x) = -x**5 - x**3 - x**2 + 2*x + 1. Let y(r) = -5*j(r) - 5*n(r). Factor y(c).
5*(c - 12)*(c - 1)**3*(c + 4)
Let n = -691 - -718. Suppose -15 = 22*a - n*a. Factor 2/21*q - 4/21*q**4 + 0 + 4/21*q**2 - 2/21*q**5 + 0*q**a.
-2*q*(q - 1)*(q + 1)**3/21
Factor 6084 - 4*b**3 - 827*b**2 - 288*b**2 - 382*b**2 - 10*b**3 - 20982*b + 409*b**2.
-2*(b + 39)**2*(7*b - 2)
Let u(d) be the first derivative of 144*d + 30 - 147/5*d**5 + 19*d**3 + 204*d**2 - 231/2*d**4. Let u(a) = 0. What is a?
-3, -4/7, 1
Let q(x) = 3*x**2 - 6*x - 7. Let b be q(3). Solve 24*p + 45*p**b - 44*p**2 + 256 + 8*p = 0.
-16
Solve 2879 + 799*z - 4*z**3 + 517*z + 52*z**2 - 148 + 542 + 2019 = 0.
-7, 27
Let d(c) = 36*c**3 - 193*c**2 + 197*c + 15. Let s(x) = -100*x**3 + 578*x**2 - 590*x - 42. Let y(j) = -14*d(j) - 5*s(j). Determine m so that y(m) = 0.
-48, 0, 1
Suppose -4*u = -54*h + 59*h - 28, -u = -2. Let 757*c**4 - 4*c**3 - 755*c**4 + h*c + 19 - 21 = 0. Calculate c.
-1, 1
Let b(w) be the second derivative of -w**6/10 - 15*w**5/2 - 58*w**4 - 159*w**3 - 405*w**2/2 + 3*w - 73. Let b(j) = 0. Calculate j.
-45, -3, -1
Let p(v) = -v**3 - 18*v**2 - 18*v + 7. Let k be p(-17). Let w be (k + 0)*(-81)/(-648). What is l in 15/2*l**2 - 15/2*l**4 + 3/2*l**3 + w*l + 0 - 9/2*l**5 = 0?
-1, -2/3, 0, 1
Solve -12013156/7 - 1/7*p**2 + 6932/7*p = 0.
3466
Let k(d) be the third derivative of d**6/160 - 129*d**5/80 - 335*d**4/16 - 1597*d**2. Determine f, given that k(f) = 0.
-5, 0, 134
Suppose 2*f - 800 = 5*g, -9*g + 3*f - 633 = -5*g. Let d = g - -164. Solve -2/5*r + 0 + 6/5*r**d + 2/5*r**3 - 6/5*r**4 = 0 for r.
-1, 0, 1/3, 1
Let j(u) be the first derivative of -3*u**3/2 + 237*u**2 + 318*u - 1893. Solve j(r) = 0.
-2/3, 106
Let w = -3 + 3. Let n = -42061 + 126184/3. Let k + 2/3*k**2 + w - n*k**3 = 0. Calculate k.
-1, 0, 3
Let h(l) be the third derivative of -l**7/140 + 213*l**6/40 - 45793*l**5/40 + 11289*l**4/2 - 11236*l**3 + 114*l**2 + 20*l. Factor h(i).
-3*(i - 212)**2*(i - 1)**2/2
Let z(o) be the first derivative of 20/7*o**2 - 32/7*o - 43 - 3/14*o**4 + 16/21*o**3. Find c, given that z(c) = 0.
-2, 2/3, 4
Let v(s) be the third derivative of 1/40*s**6 - 1/3*s**3 + 2*s**2 + 7/60*s**5 - 1/42*s**7 + 1 - 1/8*s**4 + 0*s. Suppose v(b) = 0. Calculate b.
-1, -2/5, 1
Suppose -633*b + 519*b + 975 = 913*b - 2106. Factor -99*h - 81 - 11/2*h**b - 157/4*h**2 - 1/4*h**4.
-(h + 2)**2*(h + 9)**2/4
Let q(d) be the second derivative of -2881/6*d**4 - 900*d**2 - 920*d**3 - 1/21*d**7 - 107*d - 21/5*d**6 + 0 - 1083/10*d**5. Factor q(z).
-2*(z + 1)**3*(z + 30)**2
Let f(b) be the second derivative of b**4/6 - 18*b**3 - 496*b**2 + 2664*b. Suppose f(q) = 0. Calculate q.
-8, 62
Let w be (-12)/(-9)*-6 + 10. Factor -4*g**w + 9*g**3 + 16*g**2 - 4*g**4 + g**4 + 0*g**3