**7/63 + a**6/15 + a**5/15 - 19*a + 18. Let z(f) be the first derivative of m(f). Factor z(v).
2*v**3*(v + 1)*(v + 2)/3
Let t(y) be the second derivative of y**4/78 + 4*y**3/39 + 86*y. Factor t(h).
2*h*(h + 4)/13
Solve -5/6*m + 5 - 5*m**2 + 5/6*m**3 = 0.
-1, 1, 6
Let v = 249/52 - -9/104. Let -v*c**4 + 9/8 + 15/4*c**2 - 9/8*c**5 + 39/8*c - 15/4*c**3 = 0. What is c?
-3, -1, -1/3, 1
Let d be (-18)/24*(-8)/600. Let w(a) be the second derivative of -2*a + 0 - 1/30*a**3 + 0*a**4 + d*a**5 + 0*a**2. Factor w(f).
f*(f - 1)*(f + 1)/5
Let z(b) be the first derivative of b**4/4 + 37*b**3/21 + 5*b**2/7 - 302. Determine d so that z(d) = 0.
-5, -2/7, 0
Let t = 7 - 5. Suppose -b + 4*b = t*b. Let 1/5 - 1/5*r**2 + b*r = 0. What is r?
-1, 1
Suppose 0 = -26*b - 64*b + 270. Let g(r) be the second derivative of -1/2*r**5 + 0 + 0*r**2 - 2/3*r**4 - 7*r - 1/15*r**6 + 0*r**b. Factor g(p).
-2*p**2*(p + 1)*(p + 4)
Let t be (0/1)/(-3*(-8)/(-6)). Let g be 7/(7/4) - (1 - t). Factor 1/5*a**4 - 1/5*a**2 + 0 + 2/5*a - 3/5*a**g + 1/5*a**5.
a*(a - 1)**2*(a + 1)*(a + 2)/5
Find k such that -5693*k**2 - 95*k - 13*k + 5697*k**2 - 112 = 0.
-1, 28
Let x = -147891 - -1332707/9. Let c = 188 - x. Factor c*i + 2/9*i**2 + 2/9.
2*(i + 1)**2/9
Let c(k) be the third derivative of -k**4 - 32*k**2 - 1/30*k**6 + 0 + 0*k + 0*k**3 - 1/3*k**5. Find i such that c(i) = 0.
-3, -2, 0
Let f be -10*(108/(-30) - -2). Let c be (-8)/(-5) - f/(-40). Factor 16/9*h + 2/9*h**c + 32/9.
2*(h + 4)**2/9
Let b(k) = k**3 - 6*k**2 - 13*k - 3. Let v be b(8). Let p be (-3)/(-5 - v/(-6)). Let 3*o**p - 3 - 3/2*o**5 + 6*o**3 + 0*o**4 - 9/2*o = 0. What is o?
-1, 1, 2
Let a(m) be the third derivative of -2/21*m**3 - 2/21*m**4 + 0 + 1/21*m**5 - 3*m**2 + 0*m. Suppose a(i) = 0. Calculate i.
-1/5, 1
Let z(l) = 3*l**3 + 3*l - 6. Let w(u) = -2*u**3 - 4*u + 4. Let m(s) = 6*w(s) + 5*z(s). Factor m(q).
3*(q - 2)*(q + 1)**2
Factor -9/2*o**5 + 0*o + 15/4*o**4 + 0*o**2 + 0 + 0*o**3.
-3*o**4*(6*o - 5)/4
Suppose 0 = 3*x + 33 - 27. Let p be -4 - (x - ((-105)/(-6))/7). Determine a so that -a**3 - a**2 + 1/2 + 1/2*a**5 + 1/2*a**4 + p*a = 0.
-1, 1
Let n(b) = b**3 - 4*b**2 - 4*b - 2. Let f be n(5). Let c be ((-1)/f)/(11/(-99)). Factor 11*a + a**3 + 4*a**2 - c*a - 2*a**3 - 3*a**3.
-4*a*(a - 2)*(a + 1)
Let r be (-180)/108 - (-5)/3. Let g(f) be the second derivative of r*f**2 + 0 - 1/12*f**4 - f + 0*f**3. Factor g(p).
-p**2
Factor 0*t**3 - 1/3*t**4 + 0 + 1/6*t + 1/3*t**2 - 1/6*t**5.
-t*(t - 1)*(t + 1)**3/6
Suppose 18/5*s + 12/5*s**2 - 28/5 - 2/5*s**3 = 0. What is s?
-2, 1, 7
Factor -54*m**2 + 3/2*m**3 - 225/2*m - 57.
3*(m - 38)*(m + 1)**2/2
Let c(a) be the second derivative of a**6/2340 - a**5/780 - a**4/26 - 17*a**3/3 - 33*a. Let b(y) be the second derivative of c(y). What is n in b(n) = 0?
-2, 3
Let m be 1/9 + 16/792*11. Let c(x) be the second derivative of 0 + 4*x + 0*x**2 - 1/12*x**4 + m*x**3. Factor c(w).
-w*(w - 2)
Let o = -8 + 11. Let b(d) = -161*d**2 - d + 80*d**2 - 7 + 70*d**2 + 18*d**3 + d**4. Let r(x) = 9*x**3 - 6*x**2 - 3. Let n(g) = o*b(g) - 7*r(g). Factor n(s).
3*s*(s - 1)**3
Solve 205800*y**3 + 1512*y + 162/5 + 600250*y**4 + 26460*y**2 = 0.
-3/35
Let m(h) be the second derivative of h**5/150 - h**4/12 - 2*h**3/5 - 11*h**2 - 13*h. Let g(t) be the first derivative of m(t). Find x, given that g(x) = 0.
-1, 6
Suppose -15 = 5*b - 25. Find q such that 22 + 36 - 22 - 24*q + 4*q**b = 0.
3
Suppose 10092/7*l + 97556/7 + 348/7*l**2 + 4/7*l**3 = 0. Calculate l.
-29
Let j be (-12 - -14) + -1 + 1. Let t = 7 - j. What is w in 20 - 5*w**t - 53*w**3 - 80*w + 35*w**4 + 22*w**3 - 70*w**3 + 6*w**3 + 125*w**2 = 0?
1, 2
Let y(v) be the second derivative of v**6/720 + v**5/40 + 3*v**4/16 + 3*v**3/2 - 8*v. Let w(h) be the second derivative of y(h). Let w(l) = 0. What is l?
-3
Suppose 108/7*n**2 + 2/7*n**3 + 1458/7*n + 0 = 0. What is n?
-27, 0
Let i(h) be the second derivative of h**8/1512 - h**7/189 + 7*h**6/540 - h**5/90 + 12*h**2 + 16*h. Let x(b) be the first derivative of i(b). Factor x(v).
2*v**2*(v - 3)*(v - 1)**2/9
Let -1/6*q**2 - 4/3*q - 7/6 = 0. What is q?
-7, -1
Suppose 62 = -3*o + 68. Let k(w) be the second derivative of -1/18*w**4 - 4*w + 2/9*w**o + 0 + 1/27*w**3. Solve k(t) = 0.
-2/3, 1
Solve 2/7*m**2 + 0 + 80/7*m = 0 for m.
-40, 0
Factor -64/5 - 4/5*l**2 - 8*l.
-4*(l + 2)*(l + 8)/5
Let x(d) = d**3 + 26*d**2 - 2*d + 45. Let w be x(-25). Solve w*o**2 - 191*o - 209*o + 126*o**3 + 8*o**4 + 59*o**3 - 29*o**3 = 0 for o.
-10, 0, 1/2
Let d be 6/1512*742 - (-8)/(-18). Suppose 0 - 5/3*n**3 - d*n**2 + 0*n = 0. Calculate n.
-3/2, 0
Let v(z) be the second derivative of -z**7/420 + z**6/90 + 4*z**3/3 + 13*z. Let n(t) be the second derivative of v(t). Suppose n(r) = 0. What is r?
0, 2
Let a = -637 + 639. Factor 15/2*h**3 + 9/4 + 9/4*h**4 + 23/2*h**a + 1/4*h**5 + 33/4*h.
(h + 1)**3*(h + 3)**2/4
Let f = 429 - 291. Let c be ((-6)/(-8))/(f/736). Factor 0 + 2/17*o**c + 0*o**2 - 6/17*o**3 + 8/17*o.
2*o*(o - 2)**2*(o + 1)/17
Suppose 0 = 24*g + 17*g. Let p(u) be the third derivative of 0 - 1/900*u**6 + g*u**3 + 0*u**4 - 14*u**2 + 1/450*u**5 + 0*u. Factor p(j).
-2*j**2*(j - 1)/15
Let n(s) be the second derivative of s**5/12 - 5*s**3/6 + 9*s**2/2 + 9*s. Let y(k) be the first derivative of n(k). Let y(v) = 0. Calculate v.
-1, 1
Let h(i) be the second derivative of -i**9/7560 + i**7/1260 + i**4/12 - 7*i. Let k(a) be the third derivative of h(a). Suppose k(q) = 0. Calculate q.
-1, 0, 1
Let g(c) be the first derivative of 1/7*c**3 + 0*c + 9/14*c**2 + 8. Suppose g(t) = 0. Calculate t.
-3, 0
Let m be 75/9 + (67 - 66). Suppose 4/3*w**2 + 4*w**5 + 0 + m*w**4 + 20/3*w**3 + 0*w = 0. What is w?
-1, -1/3, 0
Suppose 4*v + f - 109 = 0, 5*v + 4*f - 3*f = 137. Let g be -2*69/(-42) + (-8)/v. Determine j, given that 0*j**2 - 9/2*j**4 + g*j**3 + 0 + 0*j = 0.
0, 2/3
Find m, given that 1/5*m**5 + 8/5*m + 0 + 18/5*m**3 + 4*m**2 + 7/5*m**4 = 0.
-2, -1, 0
Determine h, given that -2*h**2 - 223 + h + 3*h + 231 - 2*h**2 = 0.
-1, 2
Let t(q) = 13*q + 65. Suppose -84*c - 35 = -77*c. Let r be t(c). Suppose 0 + 1/5*k**4 + r*k**2 - 3/5*k**3 + 4/5*k = 0. What is k?
-1, 0, 2
Suppose -3*w = w + 3*o - 317, -w + 75 = 5*o. Factor 16*c + 24*c + c**2 + w + 4*c**2.
5*(c + 4)**2
Let z(t) be the first derivative of 5/12*t**3 + 5/8*t**4 + 0*t - 3/4*t**5 + 0*t**2 + 17. Factor z(p).
-5*p**2*(p - 1)*(3*p + 1)/4
Let u(o) = -9*o**2 + 84*o + 63. Let d(g) = -g**2 + 12*g + 9. Let s(p) = 15*d(p) - 2*u(p). Factor s(b).
3*(b + 1)*(b + 3)
Find t such that 0*t + 0 + 8/3*t**4 + 10/3*t**3 + 4/3*t**2 + 2/3*t**5 = 0.
-2, -1, 0
Let s(y) = -3*y**2 + 44*y - 108. Let c(q) = 11*q**2 - 131*q + 330. Let m(z) = -6*c(z) - 21*s(z). Determine i so that m(i) = 0.
-48, 2
Factor 5*v**2 + 4 + 430*v - 21 + 19 - 2.
5*v*(v + 86)
Suppose -5*g - o = -92, 3*o + 103 = 5*g + 19. Let s be (4/20)/(6/g). Solve 0*i + 3/5 - s*i**2 = 0.
-1, 1
Let v(d) = d**3 - 2*d**2. Let p(a) = 6*a**3 - 9*a**2. Let o(h) = -4*p(h) + 22*v(h). Let o(w) = 0. Calculate w.
-4, 0
Suppose -20*u = 48*u - 340. Solve -26/7*d**4 + 44/7*d**3 - 36/7*d**2 + 2*d - 2/7 + 6/7*d**u = 0.
1/3, 1
Let m(p) be the first derivative of -1/6*p**3 + 1/24*p**6 - 34 + 1/10*p**5 - 1/8*p**2 + 0*p + 0*p**4. Factor m(q).
q*(q - 1)*(q + 1)**3/4
Let u(h) = -h**2 + h - 1. Let s(t) = 2*t**3 + 9*t**2 - 15*t - 7. Let z(p) = -s(p) - 5*u(p). Factor z(l).
-2*(l - 2)*(l + 1)*(l + 3)
Factor 84/5 - 106/5*m - 8/5*m**2.
-2*(m + 14)*(4*m - 3)/5
Let a(d) = -2*d**3 + 159*d**2 - 235*d + 86. Let u be a(78). Factor 22/3*g**2 + 8/3 + 2*g**3 + u*g.
2*(g + 1)*(g + 2)*(3*g + 2)/3
Suppose -2*i + 4*x - 8 = 0, 2*i = 3*i + x - 2. Let j(t) be the third derivative of i*t**4 + 0*t**3 + 0 + 0*t + 10*t**2 + 1/90*t**5 + 1/180*t**6. Factor j(h).
2*h**2*(h + 1)/3
Let t be (-3)/((5/20)/((-2)/(-3))). Let i be -4 + -7 + 10 + t/(-5). Determine q, given that 1/5*q**2 - i*q**3 - 1/5*q**5 + 0 + 3/5*q**4 + 0*q = 0.
0, 1
Let r(g) be the first derivative of g**4/16 + 5*g**3/6 + 17*g**2/8 + 2*g - 109. Factor r(n).
(n + 1)**2*(n + 8)/4
Let i = 869/1302 - 3/62. Let u = 9/7 - i. Factor k + 1/3*k**2 + u.
(k + 1)*(k + 2)/3
Factor 2561*p + 40 + 0*p**2 - 2606*p + 5*p**2.
5*(p - 8)*(p - 1)
Find x, given that 1/2*x**2 - 12 - 5*x = 0.
-2, 12
Suppose -2*d = -3*a + 225, 3*d - 120 = 4*d + a. Let c be (d/130)/(0 + (-2)/4). Suppose 0*v**2 + 6/5 - c*v + 3/5*v**3