)**2
Let p = -834607 - -834607. Factor -1/4*b**4 + p - 16*b - 12*b**2 + 15/4*b**3.
-b*(b - 8)**2*(b + 1)/4
Let 0 - 4353/4*h**3 - 1/4*h**5 + 2278*h**2 - 67/2*h**4 - 1156*h = 0. What is h?
-68, 0, 1
Suppose 3768*c = 3982*c - 428. Factor -3/5*u**4 + 0 - 3/5*u**c + 0*u - 6/5*u**3.
-3*u**2*(u + 1)**2/5
Suppose 1226*y - 1229*y - 2*p = -8, 3*p - 2 = -2*y. Factor -27/2*q - 6*q**2 + 3/4*q**y + 3/2*q**3 - 27/4.
3*(q - 3)*(q + 1)**2*(q + 3)/4
Let z(t) be the second derivative of -7/12*t**4 - 36*t - 2/3*t**3 + 0 + 0*t**2 + 1/30*t**6 - 1/10*t**5. What is c in z(c) = 0?
-1, 0, 4
Let p(d) be the first derivative of -d**5/5 - 33*d**4/16 + d**3 + 107*d**2/8 + 33*d/2 + 171. Determine q so that p(q) = 0.
-33/4, -1, 2
Let y be ((-13)/((-325)/(-10)))/((-1)/(-5)). Let z(g) = -2*g**2 + 10*g. Let l(u) = -u**2 + u. Let h(s) = y*z(s) + 6*l(s). Factor h(q).
-2*q*(q + 7)
Let p(a) = a**2 + 7*a + 13. Suppose 7*l - 3*b = 4*l - 3, 16 = -4*l + b. Let c be p(l). Solve 19*o - 6 + 39 - 23 - o**c + 8*o**2 = 0 for o.
-1, 10
Let a be (-1*12)/(2 + 6 + -12). Let j(l) = 2*l - 9. Let p be j(6). Factor -3*i + i**p + a*i - 5*i**3.
-4*i**3
Let a(i) be the first derivative of 195*i**3 - 103*i**3 - 97*i**3 - i**2 + 48. Factor a(k).
-k*(15*k + 2)
Let x(w) = -14*w**4 + 5*w - 32*w + 14*w**3 - 5*w + 38. Let f(s) = 40*s**4 - 41*s**3 + 96*s - 113. Let b(g) = 6*f(g) + 17*x(g). Factor b(q).
2*(q - 2)**3*(q + 2)
Let w be 37/(-120) - (-8 + -12)/60. Let q(c) be the second derivative of w*c**5 + 0 - 1/24*c**4 + 18*c - 1/12*c**3 + 1/4*c**2. Let q(y) = 0. Calculate y.
-1, 1
Let u(b) be the first derivative of -5/4*b**4 - 13/15*b**5 - 7/9*b**3 - 1/6*b**2 - 2/9*b**6 + 30 + 0*b. Factor u(a).
-a*(a + 1)**3*(4*a + 1)/3
Let z(y) be the first derivative of -2*y**6/3 - 64*y**5/5 + 146*y**4 - 448*y**3 + 414*y**2 + 2807. Determine h so that z(h) = 0.
-23, 0, 1, 3
Suppose -4*h + 2*l = -15 - 5, 2*h + l = 6. Let -7*w**2 - 2*w**h - 1 - 11/2*w**3 - 1/4*w**5 - 17/4*w = 0. What is w?
-4, -1
Let w(m) be the second derivative of m**8/1344 - m**6/160 + m**5/120 - 59*m**2 + 194*m. Let t(g) be the first derivative of w(g). Factor t(d).
d**2*(d - 1)**2*(d + 2)/4
Let j be 3 - (-1)/2*4. Let v be -2*j/20 + (-35)/(-2). Factor -14 - v - 12*a**2 - 32*a + 43.
-4*(a + 3)*(3*a - 1)
Let a = 940 + -980. Let t be ((-380)/a)/(-19) + 5/2. Factor -5/2*v + 1/2*v**t - 1/2*v**4 + 0 + 5/2*v**3.
-v*(v - 5)*(v - 1)*(v + 1)/2
Suppose 2352/5 + 2668/15*q**2 + 3944/5*q - 1934/15*q**3 + 176/15*q**4 + 2/15*q**5 = 0. What is q?
-98, -1, 6
Let m(y) be the second derivative of 3*y - 1/420*y**5 + 0 + 15*y**2 - 2/21*y**3 - 1/42*y**4. Let r(s) be the first derivative of m(s). Factor r(p).
-(p + 2)**2/7
Let u(j) be the second derivative of j**6/120 + 11*j**5/80 + 11*j**4/16 + 37*j**3/24 + 7*j**2/4 - 22*j - 6. Suppose u(k) = 0. Calculate k.
-7, -2, -1
Let n(u) be the third derivative of u**6/480 - u**5/24 + 11*u**4/32 - 3*u**3/2 - 742*u**2. Factor n(d).
(d - 4)*(d - 3)**2/4
Let a = 4357894/9 - 485262. Let f = a - -1054. Factor 32/9*d**3 + 0 + f*d**2 + 4/9*d + 14/9*d**4.
2*d*(d + 1)**2*(7*d + 2)/9
Suppose 3*m - 10 = -0*y - y, 0 = 4*y - 3*m - 10. Factor -13*h**4 - 10*h + 4*h**3 - 4*h + 19*h**4 - 5*h**y - 3*h**2 - 8.
(h - 2)*(h + 1)**2*(h + 4)
Let v(q) = 8630*q - 103556. Let k be v(12). Determine o, given that 0*o - 2*o**3 + 0*o**2 - 2/5*o**5 + 0 + 12/5*o**k = 0.
0, 1, 5
Let d be (165/40)/(18/8). Let k = d + -43/30. Let 0*q + 2/5*q**3 + k*q**4 - 2/5*q**2 - 2/5*q**5 + 0 = 0. Calculate q.
-1, 0, 1
Let u(v) = -v**3 - 5*v**2 + 7*v + 12. Let c be u(-6). What is i in -220 - c*i**2 - 184*i + 11*i**2 - 31*i = 0?
-1, 44
Let z be (-290)/3*(1990/(-250) - -1). Let l = z - 671. Solve -21/5*v + 21/5*v**2 - l + 9/5*v**3 = 0 for v.
-3, -1/3, 1
Let h = 4/8313 - -33232/41565. Factor 3/5 + 1/5*w**2 - h*w.
(w - 3)*(w - 1)/5
What is x in 65*x**2 + 67*x**2 - 722 - 275*x**2 + 75*x**2 + 76*x + 66*x**2 = 0?
19
Let i = -277 + 279. Factor 127*a + 0*a**2 + 2*a**2 - 16 + 2*a**2 - 117*a - 5*a**i.
-(a - 8)*(a - 2)
Let o(q) be the third derivative of q**7/504 + 5*q**6/144 - q**5/4 - 143*q**4/24 + 27*q**2. Let r(x) be the second derivative of o(x). Factor r(c).
5*(c - 1)*(c + 6)
Suppose 107 + 812 = -4*j - t, 5*j = -5*t - 1160. Let p = -2975/13 - j. Let -2/13*o + 2/13*o**3 + p - 2/13*o**2 = 0. Calculate o.
-1, 1
Let j = -7614 + 7617. Let i(b) be the first derivative of -3/16*b**4 + 3/4*b**j - 20 + 3/4*b - 9/8*b**2. Solve i(z) = 0 for z.
1
Let i = 2965264/16309073 - -2/1482643. Factor 2 + 20/11*m - i*m**2.
-2*(m - 11)*(m + 1)/11
Let d(c) = 29*c + 186. Let y be d(-6). Factor 24*r**2 + 0*r**2 + 2140*r**3 - 2155*r**3 - y*r + 3*r**4.
3*r*(r - 2)**2*(r - 1)
Let f(g) be the first derivative of -g**3/24 - 155*g**2/16 + 39*g/2 - 5821. Solve f(w) = 0.
-156, 1
Let b = -174323/5 - -34879. Find t, given that 9*t - 6/5 + 33/5*t**3 - b*t**2 = 0.
2/11, 1
Let y = -68 + 31. Let o = y - -61. Factor 28*q**4 + 6*q**3 - 12*q**2 - o*q**4 - 2*q**5 - 8*q + 4*q**2.
-2*q*(q - 2)**2*(q + 1)**2
Factor 4 + 15*n - 50*n**3 - 35*n**2 + 61*n**3 + 86 - 21*n**3.
-5*(n + 2)*(n + 3)*(2*n - 3)
Let a(i) be the first derivative of -i**8/560 + i**6/120 - 2*i**3/3 - 7*i + 95. Let m(n) be the third derivative of a(n). Factor m(y).
-3*y**2*(y - 1)*(y + 1)
Let l = 90876 - 90872. Factor 704/5*q - 116*q**2 - 256/5 + 52/5*q**l + 76/5*q**3 + 4/5*q**5.
4*(q - 1)**3*(q + 8)**2/5
Let u(y) be the third derivative of -y**5/90 - y**4 - 155*y**3/9 + 2834*y**2. Solve u(d) = 0.
-31, -5
Solve -13938 + 9618 + 10140 + 27*t**2 - 26196*t = 0 for t.
2/9, 970
Let k = -2374 + 2379. Let u(w) be the first derivative of 2*w**2 + 0*w - 20 - 8*w**3 + 45/4*w**4 - 5*w**k. Let u(d) = 0. What is d?
0, 2/5, 1
Let 0 + 32*d + 37/5*d**2 + 1/5*d**3 = 0. What is d?
-32, -5, 0
Let w(b) = -155*b**3 - 1935*b**2 - 3520*b + 45. Let u(l) = -7*l**3 - 88*l**2 - 160*l + 2. Let h(v) = 45*u(v) - 2*w(v). Let h(o) = 0. Calculate o.
-16, -2, 0
Factor 56/3 - 1/6*n**2 - 9*n.
-(n - 2)*(n + 56)/6
Let r be (-9)/(-4)*(-30 - 4522/(-147)). Factor -13/7 - r*g + 1/7*g**2.
(g - 13)*(g + 1)/7
Let r(g) be the third derivative of 1/240*g**5 + 0*g + g**2 + 3/8*g**4 + 26 + 27/2*g**3. Suppose r(d) = 0. What is d?
-18
Let i be 3350/(-1340)*(42/(-15) + 2). Solve -48/5*m**3 - 33/5*m**i - 6/5*m - 21/5*m**4 + 0 = 0 for m.
-1, -2/7, 0
Suppose -6*h - 5*m = -2*h + 340, 4*h + 4*m = -336. Let p be (-2)/5 + (-352)/h. Determine f, given that -3*f**4 - 8*f**3 - p*f**3 + 15*f**3 = 0.
0, 1
Let n(u) be the third derivative of -u**5/180 - 7*u**4 - 502*u**3/9 - 3399*u**2. Factor n(i).
-(i + 2)*(i + 502)/3
Let u(m) be the second derivative of -21*m**3 + 0*m**2 - 6 - 10*m - 1/6*m**4. What is i in u(i) = 0?
-63, 0
Let y(n) be the second derivative of -n**4/12 - n**3/6 + n**2/2 - n + 25. Let a(d) = 5*d**3 - 70*d**2 + 320*d - 250. Let u(i) = -a(i) - 5*y(i). Factor u(b).
-5*(b - 7)**2*(b - 1)
Suppose -118098 - 3/2*w**3 - 13851/2*w + 225*w**2 = 0. What is w?
-12, 81
Let r be 32/6 + (-18)/(-216) + 244/(-48). Let k(l) be the third derivative of -r*l**3 + 0*l - 1/15*l**4 - 23*l**2 + 0 + 1/150*l**5. Factor k(y).
2*(y - 5)*(y + 1)/5
Let q be 129*16/(-144) - -15. Let p(v) be the first derivative of 0*v**5 + 0*v + 0*v**2 + 1/6*v**6 + 22 + q*v**3 - 3/4*v**4. What is j in p(j) = 0?
-2, 0, 1
Let k(p) be the first derivative of 1/3*p**3 - 31 + 41/4*p**2 + 10*p - 5*p**4 - 1/12*p**6 - 11/5*p**5. Factor k(f).
-(f - 1)*(f + 1)**3*(f + 20)/2
Suppose 0 = -247*q - 2199*q. Factor -5/4*s**2 + 19/4*s**3 + q*s + 0 + s**4.
s**2*(s + 5)*(4*s - 1)/4
Let v(l) be the second derivative of 0*l**2 + 1/14*l**7 - 3/4*l**4 + 1 + 3/20*l**5 + 3/10*l**6 - l - l**3. Suppose v(z) = 0. What is z?
-2, -1, 0, 1
Suppose 40*k = 43*k - 195. Let d be (2/k*1)/(109/1090). Determine r so that d + 2/13*r**2 - 6/13*r = 0.
1, 2
Let y(w) be the third derivative of -w**8/1176 - 12*w**7/245 - 36*w**6/35 - 288*w**5/35 - 2*w**2 + 914. Factor y(j).
-2*j**2*(j + 12)**3/7
Let a be 961/80 + 2 - 14. Let f(o) be the second derivative of 4*o - a*o**5 + 0 - 1/12*o**3 + 1/16*o**4 + 0*o**2. Determine s, given that f(s) = 0.
0, 1, 2
Let m(y) be the second derivative of y**6/1620 + y**5/540 - y**3/2 + y**2/2 + 2*y. Let v(d) be the second derivative of m(d). What is g in v(g) = 0?
-1, 0
Let n(h) be the third derivative of h**6/720 - h**4/144 - 11*h**2 - 35*h. Factor n(x).
x*(x - 1)*(x + 1)/6
Let