of -i**4/4 + 5*i**3/3 - 7*i**2/2 + 3*i - 3633. Factor q(h).
-(h - 3)*(h - 1)**2
Factor 112*u + u**2 - 3974 + 838 - 2*u**2.
-(u - 56)**2
Suppose -l + 0*q - 8 = -2*q, -4*l - 32 = 2*q. Let p = l - -12. Factor 6*j**4 - j**3 - 2*j**4 + j + j**4 - 2*j**p + 2 - 5*j**2.
(j - 1)**2*(j + 1)*(3*j + 2)
Determine g, given that -46/5*g**3 + 2/5*g**4 - 792/5*g + 336/5*g**2 + 0 = 0.
0, 6, 11
Factor 1110*x + 1173*x**2 - 3496*x**2 + 2240 + 1163*x**2 + 1155*x**2.
-5*(x - 224)*(x + 2)
Determine v so that 204*v**2 + 4783*v - 54*v**3 + 3*v**5 - 84*v**2 - 4783*v - 9*v**4 = 0.
-4, 0, 2, 5
Let m(i) be the second derivative of -i**4/3 + 62*i**3/3 - 11*i + 18. Factor m(b).
-4*b*(b - 31)
Let r(y) be the second derivative of y**6/90 - 101*y**5/5 + 269*y**4/4 - 605*y**3/9 - 7*y - 95. Factor r(s).
s*(s - 1210)*(s - 1)**2/3
Let s = -4363/50 + 2194/25. Factor 1/3*m**2 - 1/3 + 2/3*m**3 + 0*m**4 - 1/6*m**5 - s*m.
-(m - 2)*(m - 1)*(m + 1)**3/6
Suppose 0 = l + 5*c - 101, 0*l + 2*l + c - 193 = 0. Find o such that 3*o**4 - 2*o**2 - 7*o + l + 16*o - 102 + 5*o**2 - 9*o**3 = 0.
-1, 1, 2
Let z(u) be the third derivative of -1/270*u**5 - 2 + 27*u**2 + 0*u + 1/54*u**4 + 0*u**3. Factor z(b).
-2*b*(b - 2)/9
Suppose -370*d - 4039 - 671 = -2725*d. Suppose 196/5*x**3 - 84/5*x**d - 96/5*x - 16/5 = 0. What is x?
-2/7, 1
Let v be (-6 + 184/30)/(1 - (-77)/(-110)). Solve -v + 76/3*w**4 - 30*w**5 - 224/9*w**2 + 212/9*w**3 + 58/9*w = 0.
-1, 1/9, 1/3, 2/5, 1
Factor -3/4*i**5 - 12*i - 147/4*i**2 + 0 - 153/4*i**3 - 57/4*i**4.
-3*i*(i + 1)**3*(i + 16)/4
Suppose 5*j - 5*p - 10 = -0*j, 0 = j + 3*p - 10. Determine d so that -j + 16*d**3 - 8*d**4 - 1 - 8*d**4 + 7*d**4 + 1 + 13*d**2 - 16*d = 0.
-1, -2/9, 1, 2
Let m(h) be the second derivative of h**4/6 + h**3/3 - 5*h**2 - h - 126. Let s be m(-3). Solve 0 - 1/3*b - 1/6*b**s = 0 for b.
-2, 0
Let n(p) = 3*p**3 + 5*p**2 + 7*p + 7. Let m be n(-4). Let l be (57/m)/((2/(-7))/1). Let 9*j + l - 21/2*j**2 = 0. Calculate j.
-1/7, 1
Let v(r) be the second derivative of -r**4/3 + 284*r**3/3 + 286*r**2 + 6088*r. Determine d, given that v(d) = 0.
-1, 143
Find h such that 6204*h**2 - 2802*h - 4809/2*h**3 + 24 = 0.
2/229, 4/7, 2
Let c = -14409 - -102384/7. Solve 1/7*h**2 - 78/7*h + c = 0 for h.
39
Let i be ((-2)/(-3))/(47/(249 + -61)). Factor -i - 2/3*x**2 - 10/3*x.
-2*(x + 1)*(x + 4)/3
Let z be (-40)/(-30)*(-6)/(-4). Suppose z*j + 0*f + 2*f - 8 = 0, f = 1. Factor m + 5*m + 3 + 2*m**3 - 9*m**3 + m**j - 3*m**4.
-3*(m - 1)*(m + 1)**3
Let n(a) = -2*a**3 + 2*a**2 + 28*a + 15. Let m be n(-4). Let y be 1 + m/245*5. Factor y*x + 4/7*x**2 - 20/7.
4*(x - 1)*(x + 5)/7
Let n(z) be the second derivative of -z**5/4 - 25*z**4/4 - 65*z**3/3 - 1035*z. Determine r so that n(r) = 0.
-13, -2, 0
Factor -8/3 - 5/9*g + 1/9*g**2.
(g - 8)*(g + 3)/9
Let i(t) be the third derivative of -t**5/450 - 139*t**4/180 - 46*t**3/15 - 137*t**2 - 1. What is q in i(q) = 0?
-138, -1
Let r(f) be the first derivative of 2/27*f**3 + 2/3*f**2 + 2*f + 43. Factor r(c).
2*(c + 3)**2/9
Suppose -120 - 68/3*u + 16*u**2 - 4/3*u**3 = 0. Calculate u.
-2, 5, 9
Suppose 71*u + 2*n = 51*u + 14, 0 = u - n - 15. Let 4*g**3 - 2*g**4 + 0*g**u + 1/4*g**5 + 0 + 0*g = 0. What is g?
0, 4
Let v(r) = -19*r**2 + 343*r - 346. Let u(x) = 123*x**2 - 2056*x + 2076. Let b(z) = -6*u(z) - 39*v(z). Suppose b(j) = 0. Calculate j.
1, 346
Let j be ((-252)/15)/(18/(-90)). Let q be (84/(-105))/(j/(-10)). Factor -2/21 + 0*o + q*o**2.
2*(o - 1)*(o + 1)/21
Suppose -355*q + 202 = -254*q. Suppose -1/4 - 1/4*a**q + 5/8*a = 0. Calculate a.
1/2, 2
Let o(r) be the second derivative of -2*r**7/21 - 6*r**6/5 - 13*r**5/5 + 11*r**4 + 28*r**3/3 - 48*r**2 - 15*r - 95. Solve o(v) = 0 for v.
-6, -4, -1, 1
Let h(n) be the second derivative of n**4/78 + 20*n**3/13 - 61*n**2/13 - 642*n. Factor h(d).
2*(d - 1)*(d + 61)/13
Let u be (-5301)/(-228) - (-2)/(-8). Let i(c) = -18*c + 417. Let o be i(u). Factor 0 - 2/17*v**o + 0*v**2 + 2/17*v.
-2*v*(v - 1)*(v + 1)/17
Suppose a**2 + 2*a + 1301 + 3*a**2 - 4*a - 3*a**2 - 1325 = 0. What is a?
-4, 6
Let t(i) = 4*i**2 - 316*i + 317. Let j be t(78). Let 0 + 1/5*m**2 - 2/5*m**j + 6/5*m**3 - 2/5*m + 1/5*m**4 = 0. Calculate m.
-1, 0, 1/2, 2
Let i(w) be the first derivative of w**3 - 6*w + 9/2*w**2 + 7 + 3/5*w**5 - 9/4*w**4. Determine q, given that i(q) = 0.
-1, 1, 2
Let q be (-50)/(8/(-4)) - -1. Suppose q*w + 18 = 32*w. Factor -w*a - 10 + 3*a**2 - 7 - 1.
3*(a - 3)*(a + 2)
Let o be (-110)/(-27) + -4 + (-1496)/30888. Let n(d) be the second derivative of 1/78*d**4 - o*d**3 - 6/13*d**2 + 0 + 20*d. What is c in n(c) = 0?
-2, 3
Find g such that -1/2*g**2 + 539/2 + 35*g = 0.
-7, 77
Factor 496/7*c - 4/7*c**3 + 0 + 240/7*c**2.
-4*c*(c - 62)*(c + 2)/7
Let i be 0/(-5) + (21 + -16 - 8) + 5. Solve 11/3*l + 2 + l**i = 0.
-3, -2/3
Let i(g) be the first derivative of -g**3/2 - 621*g**2/4 + 312*g + 8196. Find v, given that i(v) = 0.
-208, 1
Let j(b) be the first derivative of b**7/21 - b**6/5 - 3*b**5/5 + 5*b**4/3 + 7*b**3 + 9*b**2 - 84*b + 70. Let s(w) be the first derivative of j(w). Factor s(n).
2*(n - 3)**2*(n + 1)**3
Let r be (-2)/(-2) - (-2 - (-2 + 4)). Suppose 6*k**5 + 3*k**5 - 4*k**2 - 14*k**3 - 6*k**r + 10*k**4 + 5*k**5 = 0. What is k?
-2, -1/4, 0, 1
Let n = -315845 - -315845. Factor 3/4*p**2 + 3/2*p + n - 3/4*p**3.
-3*p*(p - 2)*(p + 1)/4
Determine r so that 200/11*r**2 - 18 + 60/11*r - 60/11*r**3 - 2/11*r**4 = 0.
-33, -1, 1, 3
Let m = -14752/3 - -4918. Let f(n) be the first derivative of -n**2 + m*n**3 - 27 + 0*n. What is u in f(u) = 0?
0, 1
Let t(y) = -4*y**3 + 2*y**2 - 3. Let w(b) = -6*b**3 + 14*b**2 + 26*b - 87. Let k(f) = t(f) - w(f). What is u in k(u) = 0?
-3, 2, 7
Suppose 0 = 3*i + 2*j - 42 - 4, 2*i = 5*j - 1. Solve i - 81*r**3 + 39*r + 13*r**3 - 4*r**3 + 53*r - 16*r**4 + 159*r**2 = 0.
-6, -1/4, 2
Let y(k) be the first derivative of -k**3/3 + k**2/2 - k - 45. Let w(d) = 2*d**2 - 9*d + 7. Let r(p) = -w(p) - 4*y(p). Factor r(h).
(h + 3)*(2*h - 1)
Suppose 40 = 4*y + 4*h, -5*y + 30 = -72*h + 75*h. Determine n so that -5*n**2 - 1/5*n**4 + y - 2*n**3 + 0*n = 0.
-5, 0
Let x = -104660033/344730 - -1/68946. Let z = x + 304. Solve 14/5*n - z*n**2 - 12/5 = 0 for n.
1, 6
Let t(u) = -12*u**2 + 28*u**2 + 28*u - 335 + 10*u**2 + 33 - 182*u. Let z(b) = -8*b**2 + 51*b + 101. Let k(s) = 3*t(s) + 10*z(s). Determine j so that k(j) = 0.
-2, 26
Solve -4205*q - 336 - 63*q**2 - 76*q**3 + 4809*q - 133*q**2 + 4*q**4 = 0.
-4, 1, 21
Suppose 29*y - 149 = 9*y - 89. Let q(m) be the third derivative of 0*m**3 - 1/9*m**4 + 0*m**5 + 0*m + 0 + y*m**2 + 1/180*m**6. Factor q(c).
2*c*(c - 2)*(c + 2)/3
Let n(m) = -9*m**2 + 64*m + 125. Let f(s) = -s**2 + s. Let y(x) = -14*f(x) + 2*n(x). Let h(d) = d**2 - d. Let k(w) = h(w) - y(w). Determine g so that k(g) = 0.
-2, 25
Factor -1440*z - 345600 - 3/2*z**2.
-3*(z + 480)**2/2
Let f(y) be the second derivative of y**7/42 - y**6/30 - y**5/4 - y**4/4 - 10*y + 24. Find i such that f(i) = 0.
-1, 0, 3
Let r be (-8 - -5)*(0 - 2/1). Factor 8*k**2 - k**3 + 13*k + 10*k - 50*k + r*k + 18.
-(k - 3)**2*(k - 2)
Let a(u) be the first derivative of 4*u**3/9 - 259*u**2/6 - 65*u/3 + 937. Factor a(y).
(y - 65)*(4*y + 1)/3
Let i be 5 + (4/(-2) - -1). Suppose 0 = -4*n + 3*o + 16, -n - 3*o - o = -4. Let i*y**4 + 2*y**n + 61*y**3 - 63*y**3 - 4*y**2 = 0. Calculate y.
-2/3, 0, 1
Let u(i) = 50*i**2 - 5*i - 150. Let z(o) = 13*o**2 - o - 38. Let f(x) = 4*u(x) - 15*z(x). Factor f(j).
5*(j - 3)*(j + 2)
Let r(q) = 12*q**2 + 2617*q + 2605. Let c(m) = -5*m**2 - 1308*m - 1303. Let s(l) = 10*c(l) + 4*r(l). Determine t, given that s(t) = 0.
-1305, -1
Let b = 468199 - 1872761/4. Find k such that -3*k + 0 + 51/4*k**3 - k**4 - b*k**2 = 0.
-1/4, 0, 1, 12
Let 1 + 1/4*y**2 + 7/4*y**3 + 1/4*y**5 - 5/4*y**4 - 2*y = 0. What is y?
-1, 1, 2
Let w(p) be the second derivative of -31/60*p**6 + 10*p + 5/3*p**3 - 5/28*p**7 + 9/8*p**4 - 1/8*p**5 + 0 + p**2. Suppose w(f) = 0. What is f?
-1, -2/3, -2/5, 1
Suppose -2*b + 130 - 82 = 0. Suppose b*a = a. Factor -6/5*n**3 + 12/5*n**4 + 0*n - 6/5*n**2 + a.
6*n**2*(n - 1)*(2*n + 1)/5
Suppose 34 = 2*q - 5*j, 4*q + 43 = -6*j + 15. Determine s, given that -19/3*s + s**2 + q = 0.
1/3, 6
Suppose 262*y + 402 = 396*y. Find z, given that -1/2*z + 1/8*z**y + 1/8*z**4 + 0 - 1/2*z**2 = 0.
-2, -1, 0, 2
Let l be 44/143 + -19 + (-5111)/(-247). Factor 25 + 1/