*2 - 25*y/6 + 2221. Factor x(o).
-(o - 5)**2*(o - 1)**2/6
Let b be (-144)/28*28/(-3). Suppose 8*k = 10*k - b. Factor -k + 9 - w**2 - 7*w - 13*w - 4*w**2.
-5*(w + 1)*(w + 3)
Let f = -944291 + 944291. Solve -5/4*h**3 + 0*h**2 + 0 + f*h - 1/8*h**5 + 11/8*h**4 = 0 for h.
0, 1, 10
Let q be ((-534)/712 - 129/(-140))/((-9)/(-75)). Let g be 15/9 - (-1)/3. Suppose q*a**g - 16/7 + 36/7*a = 0. Calculate a.
-4, 2/5
Let b = 522061 - 522061. Suppose -46/19*c**3 + b + 18/19*c**2 - 18/19*c**4 + 44/19*c + 2/19*c**5 = 0. What is c?
-2, -1, 0, 1, 11
Let c(r) be the first derivative of -2*r**4/3 - 25*r**3/3 - 6*r**2 + 62*r + 72. Let k(a) be the first derivative of c(a). Factor k(l).
-2*(l + 6)*(4*l + 1)
Let m(d) be the first derivative of -3*d**5/10 + 11*d**4/3 + 47*d**3/9 + 8*d**2/3 + 61*d + 58. Let y(f) be the first derivative of m(f). Solve y(a) = 0.
-1/3, 8
Let j = 275 - 266. Determine x so that 22*x**3 + 23*x + 3*x**4 - 17*x + j*x**4 + 33*x**2 + 17*x**3 = 0.
-2, -1, -1/4, 0
Let g(a) = -a**2 - 125*a - 262. Let r(o) = 15*o**2 + 1998*o + 4200. Let j(u) = 33*g(u) + 2*r(u). Suppose j(b) = 0. Calculate b.
-41, -2
Factor -136/13*c - 2/13*c**3 - 50/13*c**2 - 88/13.
-2*(c + 1)*(c + 2)*(c + 22)/13
Let v(g) be the third derivative of -g**6/20 + 149*g**5/45 - 23*g**4/36 - 110*g**3/3 + 6*g**2 + 200*g. What is x in v(x) = 0?
-1, 10/9, 33
Let z(v) be the first derivative of 2*v**5/75 - 16*v**4/15 - 68*v**3/15 - 104*v**2/15 - 14*v/3 + 1150. What is q in z(q) = 0?
-1, 35
What is n in 10/9*n**4 - 64 + 632/3*n + 62/3*n**3 - 1216/9*n**2 = 0?
-24, 2/5, 2, 3
Let u(a) be the first derivative of -a**3/3 - 2399*a**2/2 - 4789. Factor u(j).
-j*(j + 2399)
Let q(i) be the second derivative of 5*i**9/756 - i**8/112 - i**7/168 + 97*i**3/6 + 99*i. Let g(z) be the second derivative of q(z). Find m such that g(m) = 0.
-1/4, 0, 1
Suppose 16 = 4*u - 3*x - 5, 4 = u - x. Suppose 0*h + u = 3*h. Suppose 229*y - 229*y + 3*y**h = 0. Calculate y.
0
Let p(s) be the third derivative of s**5/80 - 99*s**4/16 + 197*s**3/8 + 181*s**2. Factor p(m).
3*(m - 197)*(m - 1)/4
Let q(o) be the second derivative of 5*o**7/42 + 19*o**6/6 - o**5/2 - 95*o**4/6 + 5*o**3/6 + 95*o**2/2 + 128*o + 6. Find s such that q(s) = 0.
-19, -1, 1
Let h = 98646 + -690520/7. Factor h*w**2 + 12/7 - 10/7*w.
2*(w - 3)*(w - 2)/7
Let w(x) = -8*x - 44. Let z be w(-17). Factor -z*k**2 + 102*k - 157*k + 679*k + 4*k**3 - 484 - 52*k.
4*(k - 11)**2*(k - 1)
Factor 0 + 10*a + 1/5*a**2.
a*(a + 50)/5
Suppose 0 = 5*t - 3*s - 1361, 0 = 3*t - 5*s - 651 - 156. Factor -556*c**2 + t*c**2 + 277*c**2 - 100*c - 180.
-5*(c + 2)*(c + 18)
Let a(d) be the first derivative of 3*d**4/32 - 37*d**3/4 + 435*d**2/16 - 27*d - 7645. Solve a(u) = 0 for u.
1, 72
Let r = 8327/13 + -641. Let o = 8/39 - r. Factor -4/15 - o*b - 2/5*b**2.
-2*(b + 1)*(3*b + 2)/15
Let p(i) = -5*i**2 + 15*i - 25. Let g(d) = -7*d**2 + 14*d - 25. Suppose -5*r - 99 = -69. Let x(l) = r*p(l) + 5*g(l). Factor x(t).
-5*(t - 1)*(t + 5)
Let t(v) be the first derivative of -v**4/3 + 118*v**3/3 - 1320*v**2 + 3872*v/3 - 1595. Factor t(y).
-2*(y - 44)**2*(2*y - 1)/3
Suppose 5*d = -q + 24, 3*d = -2*d - 2*q + 23. Suppose 7*i - 30 = d. Find l, given that -5*l**4 - 5*l + 5*l**2 + i*l**3 - 3*l + 4*l - l = 0.
-1, 0, 1
Let x(p) be the first derivative of -5*p**4/16 + 115*p**3/12 + 125*p**2/4 + 918. Find s, given that x(s) = 0.
-2, 0, 25
Suppose -22/3*v + 1/3*v**3 + v**2 - 8 = 0. Calculate v.
-6, -1, 4
Let y(t) = -t**3 - 29*t**2 + 11*t + 26. Let h be y(-10). Let q = h - -1987. Solve -16/3*j - 2*j**2 - 8/3 + 4/3*j**q + 2/3*j**4 = 0 for j.
-2, -1, 2
Solve -3562*h - h**3 + 378 + 7265*h + 72*h**2 - 3445*h - h**3 - 194*h**2 = 0.
-63, -1, 3
Let d(b) be the second derivative of 9/4*b**5 + 445/6*b**4 + 0 + 24*b - 500*b**2 + 2150/3*b**3. Factor d(p).
5*(p + 10)**2*(9*p - 2)
Let o be (-1)/5 + 15/9450*171. Let r(l) be the first derivative of 1 - 6/7*l - o*l**2 - 1/28*l**4 + 4/21*l**3. Factor r(z).
-(z - 3)*(z - 2)*(z + 1)/7
Let r = -6 - -11. Suppose -18656*w + 18630*w + 104 = 0. Factor 3/7*a**3 + 3/7*a**2 - 3/7*a**w + 0 - 3/7*a**r + 0*a.
-3*a**2*(a - 1)*(a + 1)**2/7
Let x(o) be the second derivative of -5*o**6/18 + 21*o**5/2 - 81*o**4/4 + 12*o**3 + 28*o + 65. Factor x(v).
-v*(v - 24)*(5*v - 3)**2/3
Let r be (-3 + 44/12)/(10/15). Let k be (14 - 8)*r/3. Factor 120*f - 1611 + 625*f**k + 1616 + 95*f**2.
5*(12*f + 1)**2
Let d(y) = 4*y - 52. Let i = -39 + 56. Let c be d(i). Solve 14*w**2 - 54*w + 4*w**4 - 2*w**2 + 38*w + 16*w**3 - c = 0.
-2, -1, 1
Let i(f) be the second derivative of f**4/12 + 50*f**3/3 - 102*f**2 - 243*f. Factor i(w).
(w - 2)*(w + 102)
Let z(k) be the first derivative of -k**6/150 + k**5/15 - k**4/10 - 6*k**3/5 + 45*k**2 - 90. Let t(f) be the second derivative of z(f). Factor t(h).
-4*(h - 3)**2*(h + 1)/5
Let j = -367 - -374. Let t(s) = 4*s**3 - 28*s**2 + 5*s - 31. Let v be t(j). Find h, given that 0 + 3/2*h**5 + 0*h + 9/2*h**3 - 3/2*h**2 - 9/2*h**v = 0.
0, 1
Let b be (-92)/(-230)*20 + (-2 - (3 - 0)). Suppose -5/2 + 5/2*t**2 - 1/2*t + 1/2*t**b = 0. Calculate t.
-5, -1, 1
Factor 2/9*h**2 - 84 - 26/9*h.
2*(h - 27)*(h + 14)/9
Let n(q) = -3*q**2 + 164*q - 6559. Let d(r) = -16*r**2 + 821*r - 32794. Let s be (28/(-30))/(-7) + (-167)/15. Let m(t) = s*n(t) + 2*d(t). Factor m(w).
(w - 81)**2
Factor -36*p**2 + 2*p**5 + 258*p**3 + 2*p**4 + 265*p**3 - 508*p**3 - 3*p**5.
-p**2*(p - 3)**2*(p + 4)
Find i such that 23*i**2 + 4*i**2 + 113*i + 593*i**3 - 57 - 82*i**2 - 594*i**3 = 0.
-57, 1
Let c(i) be the third derivative of i**9/16632 - i**7/4620 - 47*i**3/2 - 58*i**2 - 1. Let f(n) be the first derivative of c(n). Find t such that f(t) = 0.
-1, 0, 1
Let s be (1*2)/(-5*(-6)/(-5031)). Let l = s + 336. Suppose 0*x - 3/5*x**3 + 0 + l*x**2 - 3/5*x**4 + 3/5*x**5 = 0. Calculate x.
-1, 0, 1
Let n = 327 + -325. Let h be (-4)/(-70)*-20*(-21)/6. What is r in -24/11*r - 8/11 - 2/11*r**3 - n*r**2 + 6/11*r**h + 2/11*r**5 = 0?
-2, -1, 2
Let v be 728/3180 - 28/(-742). Let p(d) be the third derivative of -1/50*d**5 + 0 + 2*d + v*d**3 + 1/15*d**4 - 4*d**2. Factor p(u).
-2*(u - 2)*(3*u + 2)/5
Let m be (-19)/(-2)*-3*(-24 - -20). Let n be m/56 - (-2 - (-64)/28). Suppose 3/2*i**2 - n*i + 0 + 1/4*i**3 = 0. What is i?
-7, 0, 1
Let z(r) be the second derivative of -r**4/8 + 75*r**3/2 + 228*r**2 + 1984*r. Solve z(w) = 0.
-2, 152
Let p = 287 + -282. Suppose 54*h**p + 0*h**4 - h**4 - 59*h**5 + 5*h**3 + 10*h**2 - 9*h**4 = 0. Calculate h.
-2, -1, 0, 1
Let j(l) = -23*l**4 + 153*l**3 + 677*l**2 + 17*l + 17. Let y(u) = 4*u**4 - 26*u**3 - 113*u**2 - 3*u - 3. Let n(w) = -6*j(w) - 34*y(w). Factor n(k).
2*k**2*(k - 22)*(k + 5)
Factor 0 - 9/2*l**2 + 3/8*l**3 + 105/8*l.
3*l*(l - 7)*(l - 5)/8
Let v(y) be the third derivative of -y**6/360 - 3*y**5/20 - 4*y**4/3 - 25*y**3/6 - 79*y**2. Let a(d) be the first derivative of v(d). Find z such that a(z) = 0.
-16, -2
Let i = -12311/3 + 4105. Let q(n) be the first derivative of 12 + 0*n + 3/4*n**4 + 1/2*n**2 - i*n**3. Determine a so that q(a) = 0.
0, 1/3, 1
Suppose 2 - 6 = -f. Let u(x) = -9 + 10 + f*x**2 + 5*x**2 + 2*x. Let a(p) = p. Let r(o) = 24*a(o) - 3*u(o). Solve r(d) = 0 for d.
1/3
Let h be ((-2 - -6) + (-295)/(-275) + -5)*90. Factor h + 14/11*b**2 - 60/11*b - 1/11*b**3.
-(b - 6)**2*(b - 2)/11
Let f(q) be the third derivative of -q**8/336 - 8*q**7/105 - 21*q**6/40 + 4*q**5/15 + 8*q**4/3 + 399*q**2. Suppose f(t) = 0. Calculate t.
-8, -1, 0, 1
Let m(z) = 5*z**2 + 20*z. Let l(n) = 28*n**2 + 103*n. Let a(v) = -4*l(v) + 22*m(v). Factor a(s).
-2*s*(s - 14)
Let x(o) be the third derivative of -o**5/6 + 11*o**4/24 - 29*o**3/6 - 31*o**2 + 2. Let g(j) = -3*j**2 + 4*j - 9. Let d(c) = -7*g(c) + 2*x(c). Factor d(y).
(y - 5)*(y - 1)
Let l(k) = -k**2 - 24*k - 7. Suppose 13 = 8*h - 43. Let c(v) = -2*v**2 - 73*v - 21. Let m(s) = h*l(s) - 2*c(s). Solve m(o) = 0 for o.
-7, -1/3
Let u be (-44)/(-33)*-4*45/(-24). Suppose -24*m + u = -19*m. Let -2/11*v**3 + 6/11*v + 0*v**m - 4/11 = 0. Calculate v.
-2, 1
Let x(f) be the first derivative of 35*f**4/16 + 5*f**3 - 5*f**2/2 + 396. Factor x(i).
5*i*(i + 2)*(7*i - 2)/4
Let z(l) be the first derivative of 1/22*l**4 + 0*l - 2/55*l**5 + 2/33*l**3 - 27 - 1/11*l**2. Determine m, given that z(m) = 0.
-1, 0, 1
Let t = 220 - 216. Determine r so that 7 + 72*r**2 + 44*r - 31 - 72*r**4 - 64*r**3 + 20*r**5 + 24