 54*l**3 + 73*l**2 - 48*l + 8. Let x(v) = 3*v**3 + 2*v**2 - 2*v + 1. Let o(h) = -5*t(h) - 20*x(h). What is r in o(r) = 0?
2/5, 1, 6
Let q(m) = m**5 - 11*m**4 + 21*m**3 - 21*m**2 - 3. Let n = 689 - 694. Let l(c) = c**4 + c**2 + 1. Let s(h) = n*q(h) - 15*l(h). Find j such that s(j) = 0.
0, 2, 3
Let q(r) = 2*r + 1. Let m be q(2). Let z be (-15)/(-6)*(-2 + 6 - 2). Determine o so that 3*o**2 + m + 2*o - z + 7*o = 0.
-3, 0
Factor -5*c**2 + 393*c - 4636845 + 181*c + 4422*c + 4634*c.
-5*(c - 963)**2
Let k(i) be the third derivative of -i**5/360 + 91*i**4/72 - 181*i**3/36 + 91*i**2 - 18. Solve k(m) = 0.
1, 181
Suppose -2*u = -0*s + 5*s - 30, 5*u - s - 21 = 0. Suppose u*n + 13 = 163. Factor 3*h**3 - 12*h**2 + 6*h**2 + 21*h + n*h**2.
3*h*(h + 1)*(h + 7)
Let n be 10/25*(4 + 1). Suppose 0*z - 577 = -3*d + 4*z, 2*d = 2*z + 384. Let -3*m**2 - 2*m**n + 186*m**3 - d*m**3 = 0. Calculate m.
-1, 0
Factor -331*u - 42513*u**2 + 42470*u**2 - 61*u + u**3 - 816.
(u - 51)*(u + 4)**2
Let k be -3 + 21*5/15. Let j = 209/8 - 26. Factor -1/8*u**k + j*u**2 - 1/8*u**5 + 1/8*u**3 + 0 + 0*u.
-u**2*(u - 1)*(u + 1)**2/8
Let v = -56357/2 + 28182. Factor v*g**2 + 1 - 9/2*g.
(g - 1)*(7*g - 2)/2
Let y(m) be the third derivative of -m**2 + 1/15*m**6 - 1/5*m**5 - 54 + 0*m - 1/3*m**3 + 1/3*m**4 - 1/105*m**7. Factor y(x).
-2*(x - 1)**4
Let k(b) be the third derivative of b**6/630 - b**5/210 - b**4/7 - 2*b**3 - 3*b**2 + 5*b. Let w(m) be the first derivative of k(m). Factor w(z).
4*(z - 3)*(z + 2)/7
Let t(j) = j**5 - 3*j**4 - j**2 - j + 1. Let c(y) = 4*y**5 + 27*y**4 + 356*y**3 + 539*y**2 - 360*y - 575. Let a(g) = c(g) - 3*t(g). Solve a(r) = 0.
-17, -2, -1, 1
Suppose 0 = 2*m - 16 - 40. Suppose m = 4*h - 5*u, -4*h = -3*h + 5*u + 18. Factor 11*v**2 + 5*v - 15 + 4*v**2 + h*v**2 - 2*v**2 - 5*v**3.
-5*(v - 3)*(v - 1)*(v + 1)
What is f in 325/2*f**2 + 6580*f - 45/2*f**3 - 1470 = 0?
-14, 2/9, 21
Let f(v) be the second derivative of -v**5/450 + 2*v**4/3 - 80*v**3 - 187*v**2/2 + 95*v. Let j(r) be the first derivative of f(r). Factor j(x).
-2*(x - 60)**2/15
Let a(h) be the second derivative of -4*h**5/5 + 155*h**4 - 9048*h**3 + 6728*h**2 + 1466*h. Solve a(m) = 0 for m.
1/4, 58
Let t(r) be the second derivative of 9/32*r**4 + 110*r + 0*r**2 + 1/80*r**6 + 1/4*r**3 + 0 + 9/80*r**5. Factor t(k).
3*k*(k + 1)**2*(k + 4)/8
Let w = 1 - -2. Factor 23*i**w - 19*i**3 + 76*i + 3*i**2 - 48 - 35*i**2.
4*(i - 4)*(i - 3)*(i - 1)
Factor -2/5*g**4 - 192/5*g**2 + 44/5*g**3 - 576/5*g + 0.
-2*g*(g - 12)**2*(g + 2)/5
Let j(b) be the second derivative of -81*b**7/2 + 10566*b**6/5 + 45744*b**5/5 + 9228*b**4 + 4152*b**3 + 960*b**2 + 49*b. Solve j(h) = 0 for h.
-2, -2/7, -2/9, 40
Let j(g) be the first derivative of g**5/10 + 41*g**4/8 - 65*g**3/3 + 22*g**2 + 1144. Factor j(d).
d*(d - 2)*(d - 1)*(d + 44)/2
Let l(a) be the third derivative of 76*a**2 + 1/60*a**5 + 5/84*a**4 + 1/840*a**6 + 0*a + 0 + 0*a**3. Factor l(c).
c*(c + 2)*(c + 5)/7
Let c(d) = d**3 + 7*d**2 - d + 2. Let w(u) = -7*u**3 + 63*u**2 - 402*u + 392. Let b(q) = -6*c(q) - w(q). Factor b(y).
(y - 101)*(y - 2)**2
Find a, given that 240/11*a - a**2 - 828/11 - 1/11*a**3 = 0.
-23, 6
Let j be (-87)/(-203)*(7 - 0). Let q(s) be the second derivative of 0*s**2 + 0 - 4*s - 1/2*s**6 - 3/4*s**5 + 0*s**j - 5/12*s**4 - 5/42*s**7. Factor q(a).
-5*a**2*(a + 1)**3
Suppose 50*x + 28*x + 19*x - 388 = 0. Let o(z) be the first derivative of 1/14*z**x - 6/7*z**2 + 0*z + 10 - 10/21*z**3. Determine b so that o(b) = 0.
-1, 0, 6
Let m(o) = -7*o**2 + 128*o - 68. Let z(b) = 3*b**2 - 43*b + 24. Let v(t) = 4*m(t) + 11*z(t). Factor v(q).
(q + 8)*(5*q - 1)
Let l = -99647 - -99650. Factor -2/11*u**l + 0 + 0*u - 2/11*u**2.
-2*u**2*(u + 1)/11
Let l(m) = -4*m**3 + m**2 - m + 1. Let k(a) = -44*a**3 - 176*a**2 + 2032*a - 6456. Let c(s) = -k(s) + 12*l(s). Let c(y) = 0. What is y?
7, 33
Let w = 487 - 14609/30. Let y(n) be the third derivative of 8*n**2 + 0*n**4 - 1/21*n**7 + 0*n - 1/15*n**6 + 0 + w*n**5 + 0*n**3. Solve y(z) = 0 for z.
-1, 0, 1/5
Find u, given that -462/5*u + 72 + 2/5*u**5 + 48/5*u**4 + 156/5*u**3 - 104/5*u**2 = 0.
-20, -3, 1
Suppose 0 = 67*w + 31*w + 67*w. Factor -1/2*z + 1/4*z**2 + w.
z*(z - 2)/4
Let r(y) = -2*y**3 + 17*y**2 - y - 25. Let p be r(7). Let k = 115 - p. Factor -12/7*t - 4/7*t**2 + k.
-4*t*(t + 3)/7
Let h(n) be the first derivative of -n**8/840 + n**7/140 - 13*n**3 - 96. Let s(l) be the third derivative of h(l). Find g, given that s(g) = 0.
0, 3
Let o = -175 + 114. Let c = o + 69. Factor -57*y + c + 28*y**2 - 19*y + 112*y.
4*(y + 1)*(7*y + 2)
Suppose 14 = 5*s + j + 3*j, 3*s + 4*j - 10 = 0. Suppose -2*d - 2*x = -10, -s*d - 8*x - 5 = -9*x. Factor 3/2*y**2 + 2*y**3 + 0 + d*y + 1/2*y**4.
y**2*(y + 1)*(y + 3)/2
Let c(g) be the second derivative of -g**5/20 + 7*g**4/8 + 4*g**3 - 46*g**2 - 216*g. Let w(q) be the first derivative of c(q). Solve w(v) = 0.
-1, 8
Let o = -89 + 92. Let i be (o + 13)/4 - 2. Factor 30 - 2*f**i - f - 22 + 6*f + f.
-2*(f - 4)*(f + 1)
Let u be 9/2*779/14022. Determine b so that 1 + 3/4*b - u*b**2 = 0.
-1, 4
Factor -220*k**2 + 79*k**4 + 215*k**3 - 5 + 76*k**4 - 150*k**4 + 5.
5*k**2*(k - 1)*(k + 44)
Let f(v) be the second derivative of -v**6/30 - 7*v**5/60 - v**4/8 + 11*v**2 - 123*v. Let z(y) be the first derivative of f(y). Solve z(q) = 0.
-1, -3/4, 0
Solve 0 - 75*l - 19/3*l**3 - 115/3*l**2 - 1/3*l**4 = 0 for l.
-9, -5, 0
Let w be 9/((-63)/35)*-5. Suppose 4*t + 13 = w. Factor -9/5*v**5 + 0 - 36/5*v**t - 3/5*v - 6*v**4 - 18/5*v**2.
-3*v*(v + 1)**3*(3*v + 1)/5
Let 168*f**3 - 11*f - 165*f**3 - 55*f**2 + 23*f**2 = 0. What is f?
-1/3, 0, 11
Let d(a) = 11*a**3 + 279*a**2 - 20448*a + 20146. Let j(x) = 2*x**3 - x**2 - 3. Let l(f) = d(f) - 6*j(f). Factor l(n).
-(n - 142)**2*(n - 1)
Let y = 3179790/17 + -187046. Let -2/17*v**2 + y - 6/17*v = 0. What is v?
-4, 1
Let y(o) be the first derivative of -1/4*o**4 + 12 + 12*o - 1/5*o**5 + 13/3*o**3 + 25/2*o**2. Factor y(r).
-(r - 4)*(r + 1)**2*(r + 3)
Let b(r) be the first derivative of -5*r**4/4 + 80*r**3 - 445*r**2/2 - 690*r + 817. Find x, given that b(x) = 0.
-1, 3, 46
Let j(i) = -2*i**2 - 8*i - 3. Let v be j(-2). Suppose -2*b = -v*b + 9. Factor -96 - 3*c - b*c**2 + 96.
-3*c*(c + 1)
Suppose 0 + 342/17*z - 38/17*z**3 + 18/17*z**2 - 2/17*z**4 = 0. What is z?
-19, -3, 0, 3
Suppose -v + 2*w - 28 = 0, 4 = -292*v + 289*v + w. Factor 2*u**3 + 5/3*u**2 + 0*u + 1/3*u**v + 0.
u**2*(u + 1)*(u + 5)/3
Suppose -4*r + 3*c = -15, -3*r + 5*r - 5*c = 11. Suppose 4*b = -r*k + k + 8, 3*k - 4 = -2*b. Find u such that 2*u - 8/3 + 2/3*u**b = 0.
-4, 1
Suppose -3*p + 7 - 1 = 0. Let y be ((126/(-12))/7)/(735/(-84) + 8). Solve -y*v + 2 + 1/2*v**p = 0.
2
Let o(x) be the first derivative of -65*x**4/4 - 55*x**3/3 + 5*x**2 - 422. Find g, given that o(g) = 0.
-1, 0, 2/13
Let l = -343 - -215. Let b = -125 - l. Factor 1/2*m**2 - 1/2 + 1/2*m**b - 1/2*m.
(m - 1)*(m + 1)**2/2
Suppose 39*u**3 + 900 + 35*u**5 - 494*u**3 + 4020*u - 317413*u**4 + 2935*u**2 + 317178*u**4 = 0. Calculate u.
-3, -1, -2/7, 5, 6
Let p = -97680 + 97684. Factor 1/8*h**p + 0*h**3 + 0*h + 0 - 1/8*h**2.
h**2*(h - 1)*(h + 1)/8
Let g be (0 - 5 - -1) + (1 - -6). Let -1514*p + 1095 - 1522 + 333*p**2 + g*p**3 + 10586*p - 5247 - 3734 = 0. Calculate p.
-56, 1
Let v(b) = -4*b**2 + 7116*b. Let j(a) = -55*a**2 + 92495*a. Let q(p) = 3*j(p) - 40*v(p). Solve q(x) = 0.
-1431, 0
Let d(i) be the first derivative of -i**5/100 - 7*i**4/40 - 109*i**2/2 - 24. Let h(q) be the second derivative of d(q). Factor h(k).
-3*k*(k + 7)/5
Let i = -33132 - -33134. Let -3/5*q + 0 + q**i - 1/5*q**4 - 1/5*q**3 = 0. Calculate q.
-3, 0, 1
Let p(a) be the second derivative of -49*a**4/6 + 574*a**3 - 15129*a**2 - 3*a + 95. Factor p(o).
-2*(7*o - 123)**2
Let y(i) be the second derivative of -i**5/30 + 95*i**4/18 - 2303*i**3/9 + 2209*i**2/3 + 857*i. Find j, given that y(j) = 0.
1, 47
Let j(t) be the first derivative of -2*t**5/35 + 3*t**4/2 + 8*t**3/3 - 132*t**2/7 + 2158. Solve j(z) = 0.
-3, 0, 2, 22
Let z(a) be the second derivative of a**4/90 - 8*a**3/9 - 28*a**2/5 - 6364*a. Factor z(m).
2*(m - 42)*(m + 2)/15
Let 1025/3*c**2 + 4040/3*c + 1340 + 5/3*c**3 = 0. Calculate c.
-201, -2
Let u(a) = -2*a**2 - 221*a - 311. Let i be u(-109). Let x(g) be the first derivative of 6*g**2 - i*g + 16 - 2/3*g**3. Factor x(f).
-2*(f - 4)*(