*2 + 1/360*p**5. Let r(m) be the first derivative of j(m). Factor r(u).
(u + 1)**2/6
Suppose -39 = 17597*w - 17600*w. Factor w - 1/2*t**2 + 25/2*t.
-(t - 26)*(t + 1)/2
Suppose -42*w + 12*w = -2970. Factor 4 - 181*u**2 - 158*u**2 - 280*u - 80*u**3 - 975*u**4 + 69*u**2 + 980*u**4 - w.
5*(u - 19)*(u + 1)**3
Determine v, given that 4 + 4/3*v**3 - 2/3*v + 4*v**4 - 2/3*v**5 - 8*v**2 = 0.
-1, 1, 6
Let r = 2158333 - 23683898/11. Let z = -5247 + r. Factor -2/11*s**2 - z*s - 288/11.
-2*(s + 12)**2/11
Let n(p) be the second derivative of p**4/24 + 94*p**3/3 + 8836*p**2 - 823*p - 2. Factor n(h).
(h + 188)**2/2
Let m be 65964/(-11880) + -2 - -8. Let a = m - 1/330. What is t in 2/3*t**2 + t + 1/9*t**3 + a = 0?
-4, -1
Let f(b) = 7*b**2 + 28*b - 467. Let j(w) = -w**2 - 4*w + 5. Let k(m) = f(m) + 6*j(m). Solve k(x) = 0.
-23, 19
Suppose 172 = 133*m - 129*m. Factor 4*v**3 - m - 2*v + 2*v**2 + 43.
2*v*(v + 1)*(2*v - 1)
Suppose -401 + 1977 + 3388 = 2482*d. Factor -1/6*y**3 - 23/6*y + 5/2 + 3/2*y**d.
-(y - 5)*(y - 3)*(y - 1)/6
Let v(i) be the first derivative of 34*i**3 - 132 - 21/2*i**2 + 30*i**4 - 3*i. Determine d, given that v(d) = 0.
-1, -1/10, 1/4
Let d(y) = -2*y**2 + 17*y + 10. Let n be d(9). Let l be (-3)/(-2)*n/(-12)*-4. Factor 1/2*b**3 - 1/2*b**2 - l*b + 0 + 1/2*b**4.
b*(b - 1)*(b + 1)**2/2
Let z(o) = -6*o - 19. Let y be z(-4). Determine v, given that -34*v + 95*v**2 + 48*v**y - 140*v**4 + 10*v - 48*v**3 + 21*v**2 = 0.
-1, 0, 1/4, 2/3, 3
Let t(d) be the first derivative of d**5/100 + d**4/20 + 189*d + 14. Let z(f) be the first derivative of t(f). Factor z(s).
s**2*(s + 3)/5
Let i(o) be the second derivative of o**5/20 + o**4/12 - 17*o**3/3 + 28*o**2 - 15*o - 9. Factor i(w).
(w - 4)*(w - 2)*(w + 7)
Let 0 + 3/7*y**3 - 225/7*y - 30/7*y**2 = 0. What is y?
-5, 0, 15
Let v(k) be the first derivative of 4*k**5/55 - 35*k**4/22 - 718*k**3/33 - 412*k**2/11 + 600*k/11 - 10425. Solve v(m) = 0.
-6, -2, 1/2, 25
Let u(v) be the first derivative of 7*v**4/12 + 10*v**3/9 - 4*v**2/3 - 804. Factor u(r).
r*(r + 2)*(7*r - 4)/3
Suppose 0 = -9*s + 7178 - 1607. Suppose 8*a + 131 = s. Suppose -8*x**2 + a*x**3 - 15*x - 4*x**2 - 58*x**3 = 0. What is x?
-1, 0, 5
Factor 76*g - 4*g**4 - 16*g**2 - 97*g**3 + 8*g**4 - 32*g**2 + 4*g + 61*g**3.
4*g*(g - 10)*(g - 1)*(g + 2)
Let u(g) be the first derivative of 0*g + 4/9*g**4 - 222 + 2/27*g**3 + 0*g**2. Let u(a) = 0. What is a?
-1/8, 0
Let c(j) be the first derivative of -78 + 0*j + 0*j**2 - 1/18*j**4 - 2/3*j**3. Suppose c(k) = 0. What is k?
-9, 0
Let g(m) be the third derivative of -1/105*m**6 + 1/3*m**4 - 113*m**2 + 0 + 1/735*m**7 - 1/21*m**5 + 0*m - 5/7*m**3. Solve g(a) = 0.
-3, 1, 5
Let u(f) be the first derivative of 128*f + 1/6*f**3 + 8*f**2 + 66. Suppose u(d) = 0. What is d?
-16
Let h be 616/(-32) + (42 - 18 - 4). Factor h*l**2 + 3 + 15/4*l.
3*(l + 1)*(l + 4)/4
Let w(k) = k**2 + 963*k - 1944. Let j(m) = -m**2 - 965*m + 1946. Let q(i) = -14*j(i) - 12*w(i). Factor q(o).
2*(o - 2)*(o + 979)
Let k(h) be the first derivative of 48/5*h**4 + 36 + 2/15*h**6 - 12/5*h**5 + 0*h + 0*h**2 + 256/15*h**3. Factor k(f).
4*f**2*(f - 8)**2*(f + 1)/5
Suppose 2*g = s - 3*s + 12, -g - 12 = -2*s. Let x be 550/350 + s/14. What is j in -33/4*j**3 + 15/4*j**4 - 3/4*j + 0 + 21/4*j**x = 0?
0, 1/5, 1
Let u(a) be the first derivative of a**6/39 + 36*a**5/65 + 3*a**4 - 112*a**3/39 - 279*a**2/13 - 324*a/13 + 127. Let u(w) = 0. What is w?
-9, -1, 2
Let s = -303/1379 + 4743/2758. Factor -3/2*t + s*t**2 - 18.
3*(t - 4)*(t + 3)/2
Suppose 2*x - 11 = -m, 4*x - 33 = -5*m - 2. Suppose 24*a + 35*a**x - 24*a + 36*a**3 - 7*a**4 + 8*a**2 = 0. Calculate a.
-1, -2/7, 0
Let a = -89/46 - -326/115. Let h(u) be the first derivative of -3/2*u**2 - a*u**5 - 1/8*u**6 - 33 - 3*u**3 + 0*u - 39/16*u**4. Factor h(d).
-3*d*(d + 1)**2*(d + 2)**2/4
Let m = -648 - -653. Suppose -3*s = -7*s + k + 22, 0 = 4*s + m*k - 10. Suppose 0*f**2 - 1/5*f**3 + 0*f - 2/5*f**4 - 1/5*f**s + 0 = 0. Calculate f.
-1, 0
Suppose 5*m - 40 - 25 = 0. Suppose m + 17 = 6*o. Factor -20*z**2 + 19*z**2 - 5*z - 25 - o*z.
-(z + 5)**2
Let w = -15758 + 15760. Let -3/4 - 3/4*p**w - 3/2*p = 0. Calculate p.
-1
Let n(u) be the third derivative of 1/300*u**6 + 1/1050*u**7 + 0 + 0*u**5 + 0*u**4 + 60*u**2 + 0*u + 0*u**3. Let n(h) = 0. What is h?
-2, 0
Suppose 128*r - 130*r = -792. Let j = -394 + r. Solve 4/5*z + 2/5*z**3 + 0 - 6/5*z**j = 0 for z.
0, 1, 2
Let o(i) be the first derivative of i**8/6720 - i**7/480 + i**6/180 + i**5/30 + i**3/3 - 34*i - 215. Let t(y) be the third derivative of o(y). Factor t(m).
m*(m - 4)**2*(m + 1)/4
Let j(a) = -11*a**2 - 172*a + 177. Let u be ((-8)/36)/((-4)/18) + -7. Let m(p) = -10*p**2 - 170*p + 175. Let r(o) = u*m(o) + 5*j(o). Find d such that r(d) = 0.
-33, 1
Let k(n) be the first derivative of 3*n**4/2 + 358*n**3/3 + 288*n**2 - 232*n - 763. Factor k(q).
2*(q + 2)*(q + 58)*(3*q - 1)
Let m = 6904/3 - 48304/21. Factor 0*s + 16/7*s**2 + m*s**3 + 1/7*s**4 + 0.
s**2*(s + 4)**2/7
Let 9/2*f**2 + 27/2 + 1/2*f**3 + 27/2*f = 0. Calculate f.
-3
Suppose -255 = -2*s - 15*j + 12*j, j = 1. Suppose 23 = 4*t - 127*h + s*h, -5*h - 7 = -2*t. Factor t + 7/3*z**3 - 21*z - 2/3*z**2.
(z - 3)*(z + 3)*(7*z - 2)/3
Let c be 1449/(-322)*((-220)/(-90) + -3*1). Factor 1/3*d - 1/6*d**2 + c.
-(d - 5)*(d + 3)/6
Let v(a) = -8*a**2 + 580*a + 888. Let l be v(74). Factor 1/4*m + 1/4*m**2 + l.
m*(m + 1)/4
Let b(m) be the first derivative of 4*m + 3/10*m**3 - 9/10*m**2 - 14 + 1/60*m**4 - 1/100*m**5. Let j(p) be the first derivative of b(p). Factor j(v).
-(v - 3)*(v - 1)*(v + 3)/5
Let d(b) be the third derivative of b**6/160 + 349*b**5/80 + 695*b**4/32 + 347*b**3/8 + 280*b**2 + 3*b. Let d(l) = 0. Calculate l.
-347, -1
Let a = -454 + 456. Factor 6 - 101*v**2 + 32*v**2 + 38*v**2 + v + 30*v**a.
-(v - 3)*(v + 2)
Let f(a) be the second derivative of -a**4/4 - 15*a**3/2 - 19*a - 3. Suppose f(l) = 0. Calculate l.
-15, 0
Let h(d) be the third derivative of -d**6/720 + 49*d**5/360 + 209*d**4/144 + 53*d**3/12 + 1076*d**2. Factor h(q).
-(q - 53)*(q + 1)*(q + 3)/6
Factor p + 6*p**4 - 23*p**2 + 8*p**3 + 3*p - 8*p**4 + 13*p**2.
-2*p*(p - 2)*(p - 1)**2
Let d(h) be the third derivative of -h**9/2160 - h**8/1260 + 4*h**5/15 + h**3/3 - 205*h**2. Let f(g) be the third derivative of d(g). Factor f(w).
-4*w**2*(7*w + 4)
Let n(w) be the first derivative of -w**3/18 + 377*w**2/4 - 1129*w/3 + 913. Find r such that n(r) = 0.
2, 1129
Suppose 3*w - 14 = -l, 4*l - 7 = 2*w - 21. Let t be l/16*(-4 + 20/10). Factor -1/4*y + t + 1/8*y**2.
(y - 1)**2/8
Let f(h) be the third derivative of 3*h**8/560 - 19*h**7/70 + 187*h**6/60 + 133*h**5/6 - 1003*h**4/24 + 289*h**3/10 + 6*h**2 + 845. Suppose f(t) = 0. What is t?
-3, 1/3, 17
Suppose 5*t + 621 = 4*j, -4*t + 709 - 282 = 3*j. Let c = j + -8. Suppose -29*r**4 - c + 80*r**2 + 48*r + 141 + 20*r**5 - 19*r**4 - 36*r**3 = 0. What is r?
-1, -3/5, 0, 2
Suppose 5*o = 25, 5*g - 12 - 8 = -4*o. Let h be 7 + (-13 + 3)/(g - -2). Factor 0 + 0*w + 1/7*w**4 + 2/7*w**h + 3/7*w**3.
w**2*(w + 1)*(w + 2)/7
Let g(z) = -7*z**3 - 2*z**2 + 3*z - 2. Let w be g(1). Let m be (0 + (-4)/w)*8. Factor 22 - 34 + 2*a**5 - a**5 + 21*a + 21 - 3*a**m - 6*a**3 + 10*a**2.
(a - 3)**2*(a + 1)**3
Let f(n) = n**3 + 20*n**2 - 43*n + 22. Suppose 7 = -3*b - 59. Let h be f(b). Determine w, given that -2/11*w**3 - 2/11*w**4 + h*w + 12/11*w**2 + 0 = 0.
-3, 0, 2
Let z = 342337/7 + -48905. Suppose 0 = -2*l - 5*k - 1, l - k = -3*l + 9. Suppose -4/7 - 2/7*u + z*u**l = 0. What is u?
-1, 2
Let d(a) = -a**3 - 8*a**2 + 25*a - 9. Let b be d(-11). Let n = b + -77. Find j such that -611 + 304 + 26*j - 14*j**2 + 295 - 2*j**3 + n*j**4 = 0.
-3, 1, 2
Let b be ((-6)/(-8))/((-1194)/(-796)). Factor g**2 - g**3 - b*g**4 + 1/2*g**5 - 1/2 + 1/2*g.
(g - 1)**3*(g + 1)**2/2
Let p(n) be the third derivative of 1/210*n**7 + 59*n**2 + 0*n**3 + 0*n - 1/672*n**8 + 0 + 1/240*n**6 + 0*n**4 - 1/60*n**5. What is g in p(g) = 0?
-1, 0, 1, 2
Solve 416/3*q - 2/3*q**2 + 280 = 0 for q.
-2, 210
Find a, given that -33/5*a + 8/5*a**2 + 0 + 1/5*a**3 = 0.
-11, 0, 3
Determine n so that 22398*n**2 + 4*n**4 + 14597*n - 9050*n**2 + 97344 - 71927*n - 11310*n - 440*n**3 = 0.
3, 52
Let s(f) = 3*f**2 - 6*f + f + 3 + 14*f + 3. Let j(o) = -8*o**2 - 26*o - 18. Let g(u) = 5*j(u) + 14*s(u). Factor g(t).
2*(t - 3)*(t + 1)
Let y(l