) + 10/(-4) + 2. Let z(t) = g*c(t) - 18*m(t). Factor z(y).
-3*(y - 2)*(3*y + 2)
Determine s so that 26/5*s + 1/5*s**2 + 48/5 = 0.
-24, -2
Let p = 649/3570 + -9/595. Factor -p*z - 1/3 + 1/6*z**2.
(z - 2)*(z + 1)/6
Let s be -15 + 7 + (-41)/(-5). Suppose 3*q - 6 = -0. Factor 0*y + s*y**3 + 0*y**q + 0.
y**3/5
Let t = 1521 + -1517. Factor 2/13 + 4/13*x**3 + 0*x**2 - 4/13*x - 2/13*x**t.
-2*(x - 1)**3*(x + 1)/13
Let g(d) be the first derivative of -d**5/170 - d**4/51 + 7*d**3/51 - 4*d**2/17 - 9*d - 6. Let o(h) be the first derivative of g(h). What is i in o(i) = 0?
-4, 1
Suppose 8*m = 9*m - 30. Let t = 62 - m. Factor t - 35 + u**2 - 2*u**2 - u + 6*u - u**3.
-(u - 1)**2*(u + 3)
Suppose -27 = l + 3*q, 5*l - 2*l - 2*q + 92 = 0. Let x be 3/6*l/(-5). Determine z, given that -4*z**x + 0*z**3 - 3*z**2 + 7*z**3 = 0.
0, 1
Let s(q) be the first derivative of -8/5*q**2 - 12 - 1/10*q**4 - 8/5*q - 2/3*q**3. What is t in s(t) = 0?
-2, -1
Let m = -58/9 - -70/9. Suppose 0 = -282*r + 285*r. Solve 2*a**3 + 0*a - 10/3*a**4 - 4*a**5 + r + m*a**2 = 0.
-1, -1/2, 0, 2/3
Let z(p) be the second derivative of 3/32*p**4 + 3/160*p**5 + 0*p**2 + 0 + 1/8*p**3 - 13*p. Factor z(s).
3*s*(s + 1)*(s + 2)/8
Let x(g) = -3*g**3 + 11*g**2 - 21*g + 1. Let q(n) = n**3 - n**2 + n + 2. Let s(z) = -20*q(z) - 5*x(z). Factor s(f).
-5*(f - 1)**2*(f + 9)
Let p(w) be the second derivative of 0 - 1/21*w**4 + 4/7*w**2 - 2/21*w**3 + 15*w. Factor p(x).
-4*(x - 1)*(x + 2)/7
Let 1/6*h**2 + 121/6 - 11/3*h = 0. What is h?
11
Let y = -7/30 - -47/105. Let m(c) be the second derivative of 0 + y*c**2 - 1/7*c**3 + 1/28*c**4 + 8*c. Factor m(x).
3*(x - 1)**2/7
Let g = 82 + -77. Let b(x) be the third derivative of 1/3*x**3 - 1/8*x**4 + 0 + 0*x + 1/60*x**g + x**2. Factor b(v).
(v - 2)*(v - 1)
Let c(h) be the third derivative of h**6/300 - 4*h**5/75 + 7*h**4/20 - 6*h**3/5 + 64*h**2. Suppose c(j) = 0. Calculate j.
2, 3
Factor 14670*u - 14905*u - 175 - 10*u**2 + 60.
-5*(u + 23)*(2*u + 1)
Let x(j) be the first derivative of -j**5 + 5*j**4/4 + 20*j**3 + 10*j**2 - 80*j + 534. Determine c, given that x(c) = 0.
-2, 1, 4
Let s = 2996 + -5987/2. Factor -s*n**2 + 3/2*n + 9/2 + 1/2*n**3.
(n - 3)**2*(n + 1)/2
Let 132 + 725*z - z**2 + 715*z - 1439*z = 0. What is z?
-11, 12
Let m(b) be the first derivative of -b**4/36 - b**3/9 - 10*b - 19. Let t(g) be the first derivative of m(g). Determine d, given that t(d) = 0.
-2, 0
Let o(d) be the second derivative of 97/66*d**4 - 12/11*d**3 + 0 - 6*d + 16/165*d**6 - 36/55*d**5 + 4/11*d**2. Find i such that o(i) = 0.
1/4, 2
Let h(z) = 6*z + 44. Let v be h(9). Factor -2*i**2 + 47 + 49 - v - 4*i.
-2*(i + 1)**2
Let v(n) be the third derivative of n**8/168 - n**7/35 - 2*n**6/15 + 2*n**5/5 + 4*n**4/3 - 2*n**2 + 360. Let v(h) = 0. Calculate h.
-2, -1, 0, 2, 4
Let u(s) be the second derivative of s**5/190 - s**4/57 - 89*s**3/57 + 90*s**2/19 - 301*s. Factor u(d).
2*(d - 10)*(d - 1)*(d + 9)/19
Factor -8/9*z - 10/9 + 2/9*z**2.
2*(z - 5)*(z + 1)/9
Let w(j) be the third derivative of j**6/120 + 11*j**5/48 - 7*j**4/48 + 30*j**2. Let w(i) = 0. Calculate i.
-14, 0, 1/4
Solve 85/2 - 5/2*n**3 + 165/2*n + 75/2*n**2 = 0.
-1, 17
Let y(j) be the second derivative of -3/55*j**5 + 1/165*j**6 + 2/11*j**4 + 0 - 8/33*j**3 + 0*j**2 - 49*j. Let y(g) = 0. What is g?
0, 2
Let y(g) be the third derivative of g**9/75600 - g**8/16800 + g**7/12600 - 7*g**4/6 - 21*g**2. Let c(o) be the second derivative of y(o). Solve c(d) = 0.
0, 1
Let k(f) be the second derivative of 1/42*f**7 + 1/4*f**5 - 1/6*f**4 - 2/15*f**6 + 0*f**3 - 23*f + 0 + 0*f**2. Determine v, given that k(v) = 0.
0, 1, 2
Let l = 49 - 54. Let c(r) = 8*r**2 - 17*r + 5. Let b(g) = -33*g**2 + 69*g - 21. Let o(x) = l*b(x) - 21*c(x). Let o(z) = 0. Calculate z.
0, 4
Let x(w) be the second derivative of -w**7/4620 + w**6/660 - w**5/330 + 2*w**3 + 9*w. Let q(v) be the second derivative of x(v). Factor q(y).
-2*y*(y - 2)*(y - 1)/11
Let q(k) be the first derivative of 1/12*k**4 + 1/9*k**3 - 1/3*k - 4 - 1/6*k**2. What is z in q(z) = 0?
-1, 1
Let l(h) = -h**3 + 33*h**2 + 34*h. Let w(j) = j**3 - 32*j**2 - 33*j. Let a(g) = 6*l(g) + 7*w(g). Solve a(i) = 0.
-1, 0, 27
Let p(x) be the second derivative of x**9/1008 + 17*x**8/2240 + 2*x**7/105 + x**6/60 + 2*x**4/3 - 8*x. Let m(n) be the third derivative of p(n). Factor m(z).
3*z*(z + 1)*(z + 2)*(5*z + 2)
Suppose -2*a + 6*u = 7*u - 5, 0 = 3*a - u. Let s(l) be the first derivative of 0*l - l**4 - 1/3*l**6 - a + 0*l**2 + 0*l**3 - 6/5*l**5. Solve s(c) = 0 for c.
-2, -1, 0
Let u(m) be the third derivative of -7*m**5/360 + 47*m**4/144 + 7*m**3/18 - 112*m**2. Factor u(b).
-(b - 7)*(7*b + 2)/6
Let k(z) be the third derivative of 0*z**6 + 0 - 8*z**2 + 0*z**3 - 1/70*z**7 + 1/20*z**5 + 0*z**4 + 0*z. What is f in k(f) = 0?
-1, 0, 1
Let l(n) = 10*n**5 + 44*n**4 + 292*n**3 + 518*n**2. Let q(m) = 3*m**5 + 15*m**4 + 97*m**3 + 173*m**2. Let o(y) = 4*l(y) - 14*q(y). Factor o(v).
-2*v**2*(v + 5)**2*(v + 7)
Suppose 12 = 2*z - 6. Factor -z*k + k**2 - 2*k**2 + 4*k**2 + 12 - 6*k**2.
-3*(k - 1)*(k + 4)
Let d(q) be the third derivative of q**7/3780 - 7*q**6/540 + 49*q**5/180 - 13*q**4/12 - 10*q**2. Let h(a) be the second derivative of d(a). Factor h(o).
2*(o - 7)**2/3
Let r be ((-142)/2414)/((6/4)/(-3)). Determine n so that -2/17*n**2 + 0 + 0*n - r*n**3 = 0.
-1, 0
Let a be (243/(-45))/(-9) + (-9)/15. Let p(j) be the second derivative of a + 0*j**2 + 1/10*j**5 + 0*j**4 - j - 1/3*j**3. Find w such that p(w) = 0.
-1, 0, 1
Let v = 42 - 36. Let f be (v/(-2 - -4))/1. Suppose 9 - f*l**2 + 10*l + 29 - 13 + 4*l**2 = 0. Calculate l.
-5
Let m(b) be the second derivative of 49*b**4/24 - 7*b**3/3 + b**2 + 4*b + 6. Determine t so that m(t) = 0.
2/7
Let k(n) be the first derivative of -n**4 - 592*n**3/3 + 659. Let k(h) = 0. What is h?
-148, 0
Let k(w) = -w**2 - 1. Let n(p) = -6*p**2 - 246*p - 5046. Let q(j) = 3*k(j) - n(j). Find s such that q(s) = 0.
-41
Let u(y) = y**2 - 1. Let p(i) = 3*i**2 + 3*i - 2. Let g be (-2)/(-3)*(-36)/24. Let j(f) = g*p(f) + 2*u(f). Determine q so that j(q) = 0.
-3, 0
Suppose 9*k - 20 = -k. Let c be 15*(-2 - 24/(-10)). Factor 22*i**2 + 5*i**2 - 2*i - c*i**k - 4*i.
3*i*(7*i - 2)
Let n(t) be the second derivative of t**7/56 + t**6/36 - 7*t**5/24 + 5*t**4/12 + 5*t**3/2 - 33*t. Let d(y) be the second derivative of n(y). Factor d(x).
5*(x - 1)*(x + 2)*(3*x - 1)
Suppose 13*s - 10*s = -24. Let c = -5 - s. Let 0*p**3 + 8*p**5 + 8*p - 8*p**c - 2 - 2*p**4 + 4*p**2 - 8*p**3 = 0. What is p?
-1, 1/4, 1
Let p = 7 + -5. Suppose k - 87 + 94 = -3*g, 0 = 3*g - 4*k - 28. Factor g + 1/5*n**p + 1/5*n.
n*(n + 1)/5
Suppose -2*c + 1288 = 1270. Let s(u) be the third derivative of 0*u - 2/735*u**7 + 2/21*u**3 - 1/105*u**6 + 0*u**5 + c*u**2 + 0 + 1/21*u**4. Factor s(f).
-4*(f - 1)*(f + 1)**3/7
Suppose 0 = -233*m + 227*m. Let a(z) be the second derivative of 0 - 3*z - 1/72*z**4 - 1/18*z**3 + m*z**2. Solve a(u) = 0 for u.
-2, 0
Let j = -30 - -33. Let z(m) be the third derivative of m**2 + 1/40*m**4 - 1/100*m**5 + 1/5*m**j + 0*m + 0. Factor z(r).
-3*(r - 2)*(r + 1)/5
Factor 0 + 12/11*p + 8/11*p**3 + 2*p**2 - 2/11*p**4.
-2*p*(p - 6)*(p + 1)**2/11
Let z(g) be the second derivative of 0 - g**4 - 1/2*g**7 - 7/2*g**3 + 21/10*g**5 + 1/5*g**6 + 15*g + 3*g**2. Find n, given that z(n) = 0.
-1, 2/7, 1
Let 73*u**4 - 75*u**4 + 4*u**3 + 4*u + 3*u**3 + 15*u**3 - 52*u**2 + 28*u = 0. Calculate u.
0, 1, 2, 8
Let y be (-75 - 6)*(-8)/(-44). Let a = y - -876/55. Let 0 - 4/5*o - a*o**2 - 2/5*o**3 = 0. What is o?
-2, -1, 0
Let w(l) be the first derivative of -405/4*l**4 + 80*l**2 - 28 - 75*l**3 - 20*l. Factor w(t).
-5*(t + 1)*(9*t - 2)**2
Let o(j) be the first derivative of 3*j**3/10 - 73*j**2/10 + 16*j/5 + 799. What is b in o(b) = 0?
2/9, 16
Let w(f) be the second derivative of -f**6/40 + 3*f**4/8 + f**3 - 11*f**2 + 19*f. Let l(s) be the first derivative of w(s). Factor l(v).
-3*(v - 2)*(v + 1)**2
Suppose 30 = 6*j - j. Let x be (-1)/10*j*-5. Find f such that -6 + 9 + 2*f**2 - 2*f**3 - x = 0.
0, 1
Let n(d) be the first derivative of -d**7/2940 + d**6/315 + 11*d**5/420 + d**4/14 - 4*d**3/3 - 12. Let l(o) be the third derivative of n(o). Factor l(x).
-2*(x - 6)*(x + 1)**2/7
Solve 2/9*d**2 - 8/9 + 2/3*d = 0 for d.
-4, 1
Let s(r) be the first derivative of 10*r**6 - 69*r**5/5 - 537*r**4/4 + 209*r