 = t*g(f) - 4*u(f). Factor h(n).
-5*(3*n - 1)*(7*n - 1)
Solve 60*i**5 - 504*i**4 + 12000*i**3 - 55*i**5 + 19*i**4 - 8412*i**2 + 4692*i**2 - 7800*i**2 = 0 for i.
0, 1, 48
Factor 0*z**2 + 3/4*z**4 + 399*z**3 + 0*z + 0.
3*z**3*(z + 532)/4
Suppose 33837 = 405*u + 33027. Factor -1/3*w**3 + 50/3*w**u + 0 - 625/3*w.
-w*(w - 25)**2/3
Suppose 624*h - 24 = 612*h. Let j(u) be the third derivative of 5/3*u**3 - 5/24*u**4 + 5*u**h - 1/12*u**5 + 0 + 0*u. Suppose j(q) = 0. Calculate q.
-2, 1
Let x be (-3)/(-14)*32/3. Let k be (822/1233 - (-31)/(-42))/(2/(-120)). Factor 2/7*l**4 + k*l**2 - x*l**3 + 16/7*l - 32/7.
2*(l - 4)**2*(l - 1)*(l + 1)/7
Let w(t) = 3*t - 30 + 32 - 3*t - t**3 - 3*t**2. Let p be w(-3). Factor -3*g**2 - 12*g - 10 - p + 6 + 3*g.
-3*(g + 1)*(g + 2)
Let y = -1896 - -1899. Suppose -o = 2*z, -2*o + 10*z = 9*z - 5. Solve 2/3*i**y + 0*i**o + 0*i + 0 - 2/3*i**5 + 0*i**4 = 0 for i.
-1, 0, 1
Let y(l) be the first derivative of 27/14*l**4 + 277 - 172/21*l**3 - 60/7*l**2 + 11/7*l**6 - 16/7*l + 188/35*l**5. Determine k, given that y(k) = 0.
-2, -1, -2/3, -2/11, 1
Suppose 1 = -l + 5. Let i = -18716 - -18718. Factor 6/13*t**5 - 4/13*t**l + 0*t**i - 2/13*t**3 + 0 + 0*t.
2*t**3*(t - 1)*(3*t + 1)/13
Let k(x) be the third derivative of -x**6/360 + x**5/600 + 69*x**3/2 + 38*x**2. Let m(q) be the first derivative of k(q). Determine w, given that m(w) = 0.
0, 1/5
Let c(d) = -3*d**2 + 28*d + 57. Let i be c(11). Let q(h) be the second derivative of -12*h**3 + 0 - h**4 - 18*h - 1/30*h**5 - 72*h**i. Factor q(g).
-2*(g + 6)**3/3
What is i in -1071648/11 - 2928/11*i - 2/11*i**2 = 0?
-732
Let t(p) = -2*p**3 + 87*p**2 + 42*p + 91. Let q be t(44). Let u(n) be the first derivative of -34 + 4*n + 1/3*n**q + 2*n**2. Factor u(i).
(i + 2)**2
Suppose 16*t - 1455 + 1423 = 0. Let z(x) be the first derivative of 1/10*x**t - 2/15*x**3 - 16 + 0*x. What is s in z(s) = 0?
0, 1/2
Let m be 7/(-3)*-4*54/672. Factor m*x**2 + 6*x + 0.
3*x*(x + 8)/4
Let x be (-6)/(-27) - (2 + 2260/(-36)). Suppose 13 = -8*v + x. Determine c so that -c**3 - v + 8*c**2 - 2*c - 2*c**2 + 3*c**3 = 0.
-3, -1, 1
What is j in 333*j - 292*j**2 - 11*j + 33*j - 7*j + 289*j**2 = 0?
0, 116
Let h(c) = -c**3 - 61*c**2 - 187*c - 751. Let g be h(-58). Factor 2*s**2 + 0 + 0*s - 10/3*s**g + 2/3*s**5 + 2/3*s**4.
2*s**2*(s - 1)**2*(s + 3)/3
Suppose -492*n**3 - 45*n**4 - 1221*n**2 + 150*n + 20 + 155 - 7 = 0. Calculate n.
-7, -4, -1/3, 2/5
Let l(r) be the first derivative of 3*r**4/4 - 51*r**3 - 315*r**2/2 + 69825*r - 1147. Let l(j) = 0. What is j?
-19, 35
Suppose -5*i - 5*t = -57 - 8, 0 = 3*i - 4*t - 18. Suppose i*h - 261 + 241 = 0. Factor 2/13*s**4 + 0 + 0*s**h + 0*s + 2/13*s**3.
2*s**3*(s + 1)/13
Let d = 493454 - 493452. Factor 58/5*o**3 - 24*o - 8/5 - 54/5*o**d.
2*(o - 2)*(o + 1)*(29*o + 2)/5
Let z(k) be the first derivative of 1/6*k - 1/6*k**2 - 15 + 1/18*k**3. Let z(o) = 0. What is o?
1
Let i(b) be the first derivative of b**5/45 + 5*b**4/36 - 31*b**3/27 + 43*b**2/18 - 2*b - 506. Factor i(r).
(r - 2)*(r - 1)**2*(r + 9)/9
Let q(m) be the first derivative of -m**4/14 + 284*m**3/21 - 5041*m**2/7 + 335. Factor q(r).
-2*r*(r - 71)**2/7
Let x(i) be the first derivative of -i**2 - 14*i - 13. Let n be x(-9). Find f, given that -n*f**3 + 4*f**2 - 7*f**2 + 16 - 13*f**2 + 4*f = 0.
-4, -1, 1
Let g(l) be the first derivative of l**5/5 + l**4/3 - 8*l**3/3 - 8*l**2 - 119*l + 91. Let q(f) be the first derivative of g(f). Factor q(i).
4*(i - 2)*(i + 1)*(i + 2)
Let q(b) be the third derivative of 1/42*b**7 + 5/12*b**5 + 0*b - 1/4*b**6 + 0 + 0*b**4 + 77*b**2 + 0*b**3. Factor q(o).
5*o**2*(o - 5)*(o - 1)
Let k(v) be the third derivative of v**6/300 - 179*v**5/25 - 2*v**2 - 5*v + 155. Factor k(z).
2*z**2*(z - 1074)/5
Let t(a) be the first derivative of -3/5*a**4 - 1/15*a**6 + 8/5*a**2 + 2/5*a**5 + 0*a - 8/15*a**3 + 34. Factor t(g).
-2*g*(g - 2)**3*(g + 1)/5
Let l(v) = -v**3 - 5*v**2 - 5*v - 1. Let k = -236 + 232. Let s be l(k). Solve -4/11*h**2 - 2/11*h**4 + 0*h - 6/11*h**s + 0 = 0 for h.
-2, -1, 0
Let o(b) = -10*b - 1. Let j(p) = 4*p**2 - 10350*p - 10273. Let t(w) = -j(w) + 9*o(w). Let t(q) = 0. Calculate q.
-1, 2566
Let a(k) be the third derivative of -k**6/480 + k**5/60 + 3804*k**2. Determine c so that a(c) = 0.
0, 4
Let r be (-3)/((1 - 4) + 2). Let o(t) = 6*t**2 - 27*t - 54. Let x be o(-2). Solve -83*l - 16*l**3 - 5*l**r + 80*l - x*l**2 = 0.
-1, -1/7, 0
Let m be (4*(-4)/1280)/((-10)/30). Let g(n) be the second derivative of -1/48*n**4 + m*n**5 - 14*n - 1/8*n**3 + 1/8*n**2 + 0. Let g(d) = 0. What is d?
-1, 1/3, 1
Suppose 5*i + 32 = -2*a, 4*a + 13 = 2*i - 3. Let p be 253/1748 - a/57. Factor -p - 1/4*y**2 + 1/2*y.
-(y - 1)**2/4
Let h = 1082 + -1079. Suppose -h*z = 28*z - 155. Find r such that 3/2*r**z - 3*r**4 - 3*r**3 - 3 + 3/2*r + 6*r**2 = 0.
-1, 1, 2
Let w(z) = z**3 - 6*z**2 + 5. Let u be w(6). Suppose u - 15 = -5*n. Factor -2/9*o**3 + 0*o + 4/9*o**n + 0.
-2*o**2*(o - 2)/9
Let b(v) be the first derivative of v**5/25 + 13*v**4/20 + 53*v**3/15 + 71*v**2/10 + 6*v - 7077. Factor b(l).
(l + 1)**2*(l + 5)*(l + 6)/5
Let p = -8 + 12. Let i be 13/4 + p/(-16). Let i*y**4 + 3*y**3 - 6*y**4 - 33*y - 6 - 8*y**2 - 28*y**2 + 15*y**4 = 0. Calculate y.
-1, -1/4, 2
Let d(m) be the third derivative of m**7/70 + m**6/60 - m**5/20 - m**4/12 - 79*m**2 - 22*m. Suppose d(z) = 0. Calculate z.
-1, -2/3, 0, 1
Let v(l) = 22*l**2 - 3758*l - 680. Let r be v(171). Factor 1/2*d**r + 14*d - 98 + 195/2*d**2 - 14*d**3.
(d - 14)**2*(d - 1)*(d + 1)/2
Let t(l) be the second derivative of 2*l**6/15 + 52*l**5/5 + 101*l**4/3 + 100*l**3/3 - 2100*l. Let t(q) = 0. Calculate q.
-50, -1, 0
Let a(y) be the first derivative of -y**3/24 + 785*y**2/16 + 393*y/4 + 4299. Solve a(v) = 0.
-1, 786
Let c(a) = a**2 - 41*a - 23756. Let j be c(-135). Find u such that 1/3*u**j - 8 - 43/3*u - 13/3*u**2 + 7/3*u**3 = 0.
-8, -1, 3
Let h(r) be the first derivative of 11*r**2 + 0*r - 27 - r**3 + 1/20*r**5 - 1/8*r**4. Let a(s) be the second derivative of h(s). Solve a(g) = 0.
-1, 2
Let m be ((-3 - -2) + 0 + -3 + 4)/(-2). Let q(w) be the third derivative of -1/40*w**5 + 20*w**2 + 0*w**3 + 1/8*w**4 + m + 0*w. What is s in q(s) = 0?
0, 2
Let l(r) be the first derivative of -r**6/33 + 32*r**5/55 + 167*r**4/22 - 6244*r**3/33 + 5684*r**2/11 - 5488*r/11 + 1163. Find z, given that l(z) = 0.
-14, 1, 14
Suppose l = 6*x - 4*x + 219, x = 3*l - 667. Suppose l*g = 216*g. Factor g + 2/3*r**4 + 0*r**2 + 0*r + 4/9*r**3.
2*r**3*(3*r + 2)/9
Let m(l) be the third derivative of 0*l + 49*l**2 + 0 - 1/85*l**5 + 8/17*l**3 - 1/51*l**4 + 1/1020*l**6. Factor m(z).
2*(z - 6)*(z - 2)*(z + 2)/17
Let y(f) be the first derivative of -1/15*f**5 - 1/3*f**3 + 0*f - 57 + 1/3*f**4 + 0*f**2. Factor y(s).
-s**2*(s - 3)*(s - 1)/3
Let c(w) be the third derivative of 7*w + 1/24*w**5 + 0*w**3 + 1/16*w**4 + 2*w**2 - 11/240*w**6 + 0 + 1/140*w**7. Find p such that c(p) = 0.
-1/3, 0, 1, 3
Let z(t) be the second derivative of -19/50*t**6 + 0*t**2 - 1/10*t**7 - 1/20*t**4 - 2 - 19*t - 9/20*t**5 + 1/5*t**3. Factor z(d).
-3*d*(d + 1)**3*(7*d - 2)/5
Let a(h) be the first derivative of -h**6/1200 - h**5/75 - 151*h**2/2 - 105. Let i(r) be the second derivative of a(r). Determine v so that i(v) = 0.
-8, 0
Let x(f) be the first derivative of 2*f**3/39 - 35*f**2/13 - 148*f/13 + 2077. Suppose x(a) = 0. What is a?
-2, 37
Suppose 35 = 165*l - 158*l. Let t(u) be the third derivative of 1/108*u**4 + 0*u**3 - 1/945*u**7 + 0*u + 13*u**2 + 0 - 1/90*u**l + 1/180*u**6. Factor t(n).
-2*n*(n - 1)**3/9
Solve 0 + 388/9*v**4 - 82/9*v**3 - 8*v - 40*v**2 + 14*v**5 = 0.
-3, -6/7, -2/9, 0, 1
Suppose -115 = -5*u + 7*n - 12*n, 0 = -5*u - n + 135. Let b = -18 + 20. Factor 2*r**2 + 3*r**b + 20 + u*r + 17*r - 20*r.
5*(r + 1)*(r + 4)
Let f(b) = -651*b + 16277. Let z be f(25). Let j(r) be the first derivative of 2/39*r**3 - 7/13*r**z - 16/13*r + 3. Let j(a) = 0. What is a?
-1, 8
Let v(s) = -5*s**2 + 34*s - 19. Let j be v(6). Let -j*w**4 + 4*w - 41*w**3 + 0*w**4 + 8*w + 45*w**2 - 8*w**2 - 3*w = 0. What is w?
-9, -1/5, 0, 1
Let m be (1882 - 1885)/(-2 + 5 + -4). Factor 96/11*s**2 - 40/11*s + 10/11*s**m + 0.
2*s*(s + 10)*(5*s - 2)/11
Let x(r) be the first derivative of -r**4/8 - r**3/4 + 9*r**2/2 + 53*r + 184. Let y(w) be the first derivative of x(w). Factor y(t).
-3*(t - 2)*(t + 3)/2
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