se 5*q - 144 = -31*f, 9*f - 32 = -3*q + 4*f. Suppose 37*x**3 + 23/4*x**5 + 20*x**2 - 117/4*x**4 - 48*x + q = 0. What is x?
-1, 2/23, 2
Factor 21*m**2 - 140 - 43*m**2 + 18*m**2 - 320 - 108*m - 188.
-4*(m + 9)*(m + 18)
Suppose 17*o = 24*o - 21. Let h(d) = -4*d**2 - 43*d + 197. Let m(t) = -2*t**2 - 42*t + 198. Let i(x) = o*m(x) - 2*h(x). Let i(a) = 0. What is a?
10
Suppose 0 = -3*i - 12*i + 30. Find s such that -16*s**2 + 5*s**3 - 13*s**2 + 6*s**i + 24*s + 4*s**5 - 5*s**2 - 17*s**3 + 12*s**4 = 0.
-3, -2, 0, 1
Let r(w) = 223*w + 18509. Let i be r(-83). Let c(p) be the second derivative of 0 - 1/12*p**4 + 2*p**3 - 46*p + i*p**2. Let c(u) = 0. Calculate u.
0, 12
Suppose -q = -2*l - 5, 31*q + 67 = 36*q + 4*l. Let r(s) be the first derivative of 0*s - 1/2*s**4 + 2/3*s**3 + 0*s**2 + q. Factor r(n).
-2*n**2*(n - 1)
Let s(t) = t**3 - 73*t**2 - 3*t - 27. Let p(k) = 6*k**3 - 366*k**2 - 14*k - 126. Let f(j) = -3*p(j) + 14*s(j). Factor f(r).
-4*r**2*(r - 19)
Let n(g) be the first derivative of -8*g**4/5 - 4976*g**3/15 - 1241*g**2/5 - 62*g + 160. Factor n(p).
-2*(p + 155)*(4*p + 1)**2/5
Let r = -448564 + 1345694/3. Suppose 10/3 - r*k**2 + 8/3*k = 0. Calculate k.
-1, 5
Let j = 105641/4 + -26407. Factor -j*s**2 - 1 - 3/2*s**3 - 3*s - 1/4*s**4.
-(s + 1)**2*(s + 2)**2/4
Factor -11968265*f - 74*f**5 - 660722*f**3 + 357136 - f**5 + 1865180 + 12885*f**4 - 80575*f**3 + 14476347*f**2 + 739721*f.
-3*(f - 57)**3*(5*f - 2)**2
Let r be 16/(-40) - 2646/(-15). Factor -4*b**5 + r*b**4 - 13*b**5 - 64*b - 23*b**5 + 320*b**2 - 384*b**3 + 12*b**5.
-4*b*(b - 2)**3*(7*b - 2)
Factor 1/2*m**4 - 6*m**2 - 19*m + 3*m**3 - 21/2.
(m - 3)*(m + 1)**2*(m + 7)/2
Let a(k) = -27*k**2 + 1245*k - 6. Let q(z) = -4*z**2 - 5*z - 1. Let i(m) = a(m) - 6*q(m). Factor i(s).
-3*s*(s - 425)
Let b(i) = 39*i**3 - 15030*i**2 + 6072*i. Let l(g) = 15*g**3 - 6012*g**2 + 2430*g. Let y(k) = -5*b(k) + 12*l(k). Factor y(t).
-3*t*(t - 200)*(5*t - 2)
Suppose -4*k = g - 56, 2*g + 4*k = 3*k + 49. Let u(t) be the first derivative of 3/2*t**2 + 0*t**3 - 3/4*t**4 + 0*t + g. Factor u(m).
-3*m*(m - 1)*(m + 1)
Let z(g) be the second derivative of g**4/12 - 61*g**3/2 - 92*g**2 - 3903*g + 1. Factor z(s).
(s - 184)*(s + 1)
Let l(s) be the first derivative of 3*s**4/4 + 49*s**3 + 96*s**2 - 46080*s - 3544. Find z such that l(z) = 0.
-32, 15
Suppose 0 = -4*a - 2*d + 198, 3*d - 153 = -3*a - 0*a. Factor a*t - 45 - 89*t + t**2 + 45*t.
(t - 5)*(t + 9)
Let l(i) be the third derivative of -i**7/245 - i**6/20 - i**5/5 - 2*i**4/7 + 1960*i**2. Factor l(h).
-6*h*(h + 1)*(h + 2)*(h + 4)/7
Suppose 55*g - 41*g - 12558 = 0. Suppose 894*c = g*c - 6. Determine b, given that -8/3*b**3 - 8*b**4 + 14/3*b**5 + 0*b**c + 0*b + 0 = 0.
-2/7, 0, 2
Factor 11/2*l + 1/6*l**2 + 16/3.
(l + 1)*(l + 32)/6
Let j be (-91)/13 - (2 - 69). Factor 4*q**4 + 68*q**2 - 9 + j*q**3 - 32*q**3 + 68*q + 33.
4*(q + 1)**2*(q + 2)*(q + 3)
Let z(t) be the second derivative of 4*t**2 + t - 151 + 4/3*t**3 + 1/6*t**4. Let z(r) = 0. Calculate r.
-2
Let j(h) be the second derivative of -h**4/72 - 16*h**3 - 287*h**2/3 - 2550*h + 2. Factor j(g).
-(g + 2)*(g + 574)/6
Let s(r) be the third derivative of -1/140*r**6 + 1/1470*r**7 - 1/21*r**4 + 0*r + 1/35*r**5 + 2*r**2 - 69 + 0*r**3. Factor s(o).
o*(o - 2)**3/7
Suppose 2*w - 5 = -c, c = -4*w - 2*c + 7. Suppose -3*j = -2 - w. Find y, given that -22 - 3*y**j - y**3 - 19 + 45 = 0.
-2, 1
Suppose 9*x + 2443 = -77. Let k be (-6)/(x/16 + 4). What is v in 2/9*v + 4/9*v**4 + 0 - 2/9*v**3 - k*v**2 = 0?
-1, 0, 1/2, 1
Let a = -1654 - -1657. Suppose -3*m = -4*l - 28, -a*l + 4 = 4*m - 0. Factor 1/3*u**3 + m*u + 11/3*u**2 - 1/3*u**5 - u**4 + 4/3.
-(u - 2)*(u + 1)**3*(u + 2)/3
Suppose 0 = -2*s + 4*u + 1156, 3*s - 5*u = 8*s - 2905. Let n = 3481/6 - s. Factor 1/6*a + 0 + n*a**3 + 1/3*a**2.
a*(a + 1)**2/6
Let w = 4255 + -6566. Let u = 16179/7 + w. Find f such that 2*f - u*f**2 - 20/7 = 0.
2, 5
Let m(u) be the third derivative of -u**5/20 - 16*u**4 - 375*u**3/2 - 595*u**2 + u - 6. Factor m(b).
-3*(b + 3)*(b + 125)
Let p(z) = -5*z**3 - 2*z**2 - z. Let x = -24 + 23. Let b be p(x). Determine s so that -44 - b*s**2 + 44 - 4*s**3 = 0.
-1, 0
Let b(o) = -20*o**4 + 14*o**3 + 48*o**2 - 20*o - 34. Let k(c) = 7*c**4 - 5*c**3 - 16*c**2 + 8*c + 12. Let i(v) = -6*b(v) - 17*k(v). Factor i(u).
u*(u - 4)*(u + 1)*(u + 4)
Suppose -1006 - 620 = -813*m. Let t be (-78)/(-48) - 9/6. Solve -t*a + 1/8*a**m - 3/4 = 0 for a.
-2, 3
Let u(i) = 2*i**2 - 15*i - 714. Let p(x) = 2*x**2 - 16*x - 716. Let o(g) = -3*p(g) + 2*u(g). Determine t, given that o(t) = 0.
-15, 24
Let -95*o**2 - 25*o**4 - 75/2*o - 80*o**3 - 5/2*o**5 + 0 = 0. What is o?
-5, -3, -1, 0
Let s = 14111 + -14109. Let 24/5 - 4/5*f**3 + 4*f - 8/5*f**s = 0. What is f?
-3, -1, 2
Let i(z) = z**2 - 20*z - 57. Let o be i(25). Let q = o + -66. Factor 4*m**q - 13*m**2 + 6 + 6*m**2 - 3*m.
-3*(m - 1)*(m + 2)
Let g = -422656 + 2958640/7. Factor 384/7 + g*y**2 + 240/7*y + 3/7*y**3.
3*(y + 4)**2*(y + 8)/7
Let y(t) be the second derivative of t**5/60 + 5*t**4/9 + 13*t**3/2 + 27*t**2 + t + 1114. Factor y(a).
(a + 2)*(a + 9)**2/3
Let m be (10/(-45) + 24/135)/(((-18)/30)/3). Suppose m*w**4 + 0*w + 2*w**3 + 0 - 20/9*w**2 = 0. What is w?
-10, 0, 1
Solve -1/4*a**5 - 27/2*a**3 - 29/4*a**4 + 1/2*a**2 + 27/4 + 55/4*a = 0 for a.
-27, -1, 1
Suppose 0 = -175*w + 63*w - 61*w + 346. Factor -6*y + 3/4*y**w - 27/4.
3*(y - 9)*(y + 1)/4
Let y(z) be the first derivative of 24*z**5/5 + 2743*z**4 + 1260388*z**3/3 + 728688*z**2 + 207936*z + 9584. Let y(u) = 0. What is u?
-228, -1, -1/6
Let x = -241649/90 - -2685. Let z(d) be the second derivative of -1/27*d**4 + x*d**5 + 2/9*d**2 + 0 - 1/27*d**3 + 19*d. Find w, given that z(w) = 0.
-1, 1, 2
Let o be (5 - 1) + (34 - 36). Let y be ((-68)/3)/(-4) + -1. Determine l, given that -y*l**4 + 4/3*l**o + 0*l - l**5 + 0 - 7/3*l**3 = 0.
-4, -1, 0, 1/3
Let a(x) be the second derivative of -3*x**7/14 - 209*x**6/10 - 6483*x**5/10 - 11451*x**4/2 - 12059*x**3/2 + 20181*x**2/2 + 1968*x. Solve a(y) = 0.
-31, -7, -1, 1/3
Suppose -16 = -2*j - 19*x + 15*x, 3*x = -2*j + 12. Suppose j = 6*g + 3610 - 3628. Factor 2/3*o**g - 1/6*o**4 - o**2 - 1/6 + 2/3*o.
-(o - 1)**4/6
Determine l, given that -26088515728/23 - 33247896/23*l - 14124/23*l**2 - 2/23*l**3 = 0.
-2354
Let n(y) be the first derivative of y**3/6 - 155*y**2/4 + 153*y - 6805. Factor n(c).
(c - 153)*(c - 2)/2
Let q(j) be the second derivative of -j**4/6 - 127*j**3/3 + 128*j**2 - 295*j + 3. Solve q(r) = 0.
-128, 1
Let w(m) be the third derivative of m**5/270 + 7*m**4/27 + 65*m**3/9 - 495*m**2. Factor w(z).
2*(z + 13)*(z + 15)/9
Let x(t) be the second derivative of -t**7/147 - 37*t**6/105 + 11*t**5/10 - 13*t**4/14 + 2*t + 47. Suppose x(u) = 0. Calculate u.
-39, 0, 1
Let w be (-70)/(-28)*(3 - -1). Suppose 5*i - w = -5*z, -7*i - 8 = -11*i + z. Let -2/7*s**4 - 2/7 - 12/7*s**i + 8/7*s + 8/7*s**3 = 0. What is s?
1
Factor 32/9*i**2 + 5/9*i**3 + 0 + 44/9*i.
i*(i + 2)*(5*i + 22)/9
Let a = 20590/25137 + -4/931. Let v(f) be the first derivative of 8/27*f**6 - 14 + 2/9*f - 52/45*f**5 + 29/18*f**4 - a*f**3 - 1/9*f**2. Let v(b) = 0. What is b?
-1/4, 1/2, 1
Let y(x) be the second derivative of x**5/5 + 8*x**4 + 88*x**3/3 - 6*x + 186. Factor y(u).
4*u*(u + 2)*(u + 22)
Let p(z) be the second derivative of -7/4*z**4 + 14*z**3 + 11 - 3/4*z**5 + 5*z + 18*z**2. Factor p(c).
-3*(c - 2)*(c + 3)*(5*c + 2)
Factor -21/2*l**2 + 3/8*l**3 + 93/2 - 291/8*l.
3*(l - 31)*(l - 1)*(l + 4)/8
Let 3*c**3 - 72*c**2 - 1258*c - 8*c**2 - 5*c**3 - 5780 - 8*c**2 = 0. Calculate c.
-17, -10
Let b(j) be the first derivative of j**4/2 + 6*j**3 - 21*j**2 + 22*j - 1218. Determine r, given that b(r) = 0.
-11, 1
Suppose 0 = 9*k - 7*k - 78. Let q be (k/26)/((-2)/(-4)). Determine r so that q - 4*r - 3 - 3*r**2 - 16 + 5*r**2 = 0.
-2, 4
Let l(x) be the second derivative of 3 + 9*x + 7/15*x**6 + 0*x**2 + 9/20*x**5 - 11/12*x**4 - 4/21*x**7 + 1/3*x**3. Suppose l(t) = 0. What is t?
-1, 0, 1/4, 1/2, 2
Let h(y) be the second derivative of 16/3*y**4 - 3/5*y**5 - 104/9*y**3 - 20 + 0*y**2 + y - 2/45*y**6. Solve h(x) = 0 for x.
-13, 0, 2
Let k be 210/15 + -15 - (-529268)/(-6). Let x = -87325 - k. Suppose -242*y + x + 22*y**2 - 2/3*y**3 = 0. What is y?
11
Let d = -1759/37 - -5351/111. Find o, given that 0 + 0*o + 1/3*o**4 - d*o**3 + 0*o**2 = 0.
