 be -3 + (-12)/(-4) - d/10. Factor -4/5*g**4 + 4/5*g**2 + 2/5*g + 0 + 0*g**3 - h*g**5.
-2*g*(g - 1)*(g + 1)**3/5
Let w(o) be the second derivative of -o**4/2 + 8*o**3/3 - 16*o**2/3 + o. What is u in w(u) = 0?
4/3
Let u(r) be the third derivative of -47*r**5/50 + r**4/30 - 141*r**2. Factor u(c).
-2*c*(141*c - 2)/5
Let k(r) = -2*r - 11. Let s be k(-9). Let o = 9 - s. Factor -h**2 - h**2 + 0*h**2 + o*h**3 + 0*h**2.
2*h**2*(h - 1)
Let q(k) be the first derivative of 28 + k**4 - 4/3*k**3 + 0*k - 4*k**2. Factor q(a).
4*a*(a - 2)*(a + 1)
Let n(s) be the first derivative of 2*s**5/35 + 25*s**4/14 + 332*s**3/21 + 96*s**2/7 - 576*s/7 + 417. Determine k so that n(k) = 0.
-12, -2, 1
Suppose -36 = -14*x + 5*x. Factor 8*t + 3*t**3 + 4*t**2 - 10*t**3 - x*t**4 - t**3 + 0*t**3.
-4*t*(t - 1)*(t + 1)*(t + 2)
Let w = -24 + 25. Factor -2*d**2 - 2 - d + w - d + 5.
-2*(d - 1)*(d + 2)
Let x(c) = -c**4 - 17*c**3 - 5*c**2 + 12*c + 11. Let j(v) = 9*v**3 + 3*v**2 - 6*v - 6. Suppose -p + 18 = 21. Let a(l) = p*x(l) - 5*j(l). Factor a(s).
3*(s - 1)*(s + 1)**3
Let i(z) be the second derivative of -z**4/42 + 2*z**3/7 - 9*z**2/7 + 163*z. Factor i(u).
-2*(u - 3)**2/7
Suppose p - 20 = -3*p, 5*p = 2*l + 9. Let q be 17/(-12) + 2 - 2/l. Suppose -q + 2/3*m**2 + 0*m + 0*m**3 - 1/3*m**4 = 0. What is m?
-1, 1
Let r be -4 + ((-3)/(132/(-133)) - -1). Let y = r + 5/22. Factor 0 - 1/2*b + y*b**2 + 1/4*b**3.
b*(b - 1)*(b + 2)/4
Let i be (-951)/(-5) - 6/240*8. Let x = i + -187. Let 0 - 1/4*u + 1/4*u**x - 5/8*u**2 + 5/8*u**4 = 0. What is u?
-1, -2/5, 0, 1
Let o(g) be the third derivative of g**5/180 - 49*g**4/36 + 2401*g**3/18 + 6*g**2 + 7*g. Factor o(z).
(z - 49)**2/3
Let l be 0/(-13 + 3 - -11). Factor l + 0*z - 9/2*z**3 + 3/2*z**4 + 3*z**2.
3*z**2*(z - 2)*(z - 1)/2
What is c in 3*c**2 + 0*c**2 - 8*c**2 + 7*c + 3*c + 40 = 0?
-2, 4
Let s(k) be the third derivative of k**6/360 - 11*k**5/180 + 35*k**4/72 - 25*k**3/18 - 5*k**2 + k. Solve s(t) = 0.
1, 5
Let r(j) be the third derivative of -12*j + 1/30*j**6 + 7/6*j**4 - 2*j**2 - 2*j**3 + 0 - 1/3*j**5. Solve r(o) = 0.
1, 3
Let 4*h**2 + 6*h - 1/2*h**3 + 0 - 1/2*h**4 = 0. Calculate h.
-2, 0, 3
Let q be -1 + 5 - 1 - 4. Let j be 3 + 3 + q + -1. Factor -j*o**2 + 7*o**2 - 4*o + 5*o + 5*o.
3*o*(o + 2)
Let d(p) be the second derivative of 12*p**2 + 25/2*p**6 + 0 + 165/4*p**5 + 34*p**3 - 27*p + 105/2*p**4. Find x such that d(x) = 0.
-1, -2/5
Let c = -67/87 - -643/609. Solve 0 + 4/7*b**4 + 0*b**2 - c*b**3 - 2/7*b**5 + 0*b = 0.
0, 1
Let q(d) be the third derivative of d**10/37800 - d**8/4200 + d**6/900 + 5*d**4/6 + 21*d**2. Let j(m) be the second derivative of q(m). Let j(g) = 0. What is g?
-1, 0, 1
Let a(u) be the third derivative of -u**5/120 + 3*u**3 + u**2 - 477*u. Factor a(z).
-(z - 6)*(z + 6)/2
Let i = 98 - 94. Let v(d) be the first derivative of -2/9*d**3 + 1/6*d**i + 1/15*d**5 + 1 + 1/3*d - 1/6*d**2 - 1/18*d**6. Factor v(s).
-(s - 1)**3*(s + 1)**2/3
Factor -45 - 9*w**2 + 19*w**2 + 23*w - 4*w**2 + w - 9*w**2.
-3*(w - 5)*(w - 3)
Let w(c) be the third derivative of -c**6/60 + c**4 + 16*c**3/3 + 49*c**2. What is x in w(x) = 0?
-2, 4
Let g(n) be the first derivative of n**8/2240 - n**6/160 - n**5/80 - 26*n**3/3 - 11. Let a(m) be the third derivative of g(m). Factor a(q).
3*q*(q - 2)*(q + 1)**2/4
Let a(z) be the second derivative of z**4/66 + 16*z**3/33 - 17*z**2/11 + 44*z + 2. Factor a(m).
2*(m - 1)*(m + 17)/11
Suppose -238 + 482 = -12*g + 244. Let 0 + 8/3*y**2 + g*y - 4/3*y**3 = 0. What is y?
0, 2
Suppose 1 = -s + 5. Suppose k - s + 4 = 0. Suppose 3/5*x**2 + k + 0*x = 0. What is x?
0
Let k(n) be the third derivative of -n**8/1512 - 2*n**7/315 - 13*n**6/540 - 2*n**5/45 - n**4/27 - 4*n**2 + 7*n. Determine u so that k(u) = 0.
-2, -1, 0
Let t(m) = 2*m**3 + m - 1. Let k(h) = -15*h**3 + 16*h**2 - 71*h + 7. Let r(s) = 3*k(s) + 21*t(s). Let r(a) = 0. What is a?
0, 8
Let j(s) be the first derivative of 2/39*s**3 + 4 + 2/13*s**2 + 2/13*s. Suppose j(l) = 0. What is l?
-1
Suppose k = -4*k + 75. Suppose -17*n - 12 - k*n**3 + 39*n**2 + 28*n - 23*n = 0. Calculate n.
-2/5, 1, 2
Suppose -r - 5*c + 37 = 0, r - 2*c - 30 + 42 = 0. Factor 1/4*m**4 + 1 - m + 1/2*m**3 - 3/4*m**r.
(m - 1)**2*(m + 2)**2/4
Let u = 1982 - 1982. Let h(o) be the second derivative of 0*o**2 + 1/15*o**3 - 2*o + u - 1/60*o**4. Determine r, given that h(r) = 0.
0, 2
Suppose -1 = 3*t + 2. Let r = t - -3. Factor 6*k**3 - 8*k**4 + 4*k - 33 + 18*k**r + 33.
-2*k*(k - 2)*(k + 1)*(4*k + 1)
Let m(g) be the second derivative of 3*g**5/20 + 17*g**4/4 + 26*g**3 - 479*g. Find a, given that m(a) = 0.
-13, -4, 0
Let j(b) = -b**3 - 3*b. Let r(x) = 9*x**3 - 24*x**2 + 15*x + 24. Let f(m) = 6*j(m) + r(m). Solve f(i) = 0.
-1, 1, 8
Suppose 187*w**5 + 108*w**2 - 378*w**5 - 409*w**5 + 940*w**4 - 6*w - 2*w - 504*w**3 = 0. Calculate w.
0, 1/5, 1/2, 2/3
Factor 0 + 2/5*i**4 + 0*i**2 + 8/5*i - 6/5*i**3.
2*i*(i - 2)**2*(i + 1)/5
Suppose -3*h + 9 = -3*n, 3*h = 4*n + 2*h + 3. Factor 7*i**2 - 11*i - 5*i**2 + n*i**2 + 3*i + 8.
2*(i - 2)**2
Suppose 7*t + 6 = 10*t. Let q be t/(-44)*(80/(-5) - -4). Factor 0 + 2/11*z**4 - 2/11*z - 6/11*z**3 + q*z**2.
2*z*(z - 1)**3/11
Factor 34*p**2 - 21 + 64*p**2 + 24*p - 101*p**2.
-3*(p - 7)*(p - 1)
Let y(j) be the first derivative of -3*j**2 + 1/4*j**4 - 1/2*j**3 - 5*j - 1. Let r(d) be the first derivative of y(d). Solve r(s) = 0 for s.
-1, 2
Suppose -7*k - 9 + 30 = 0. Let -3*h - 10*h**3 - 1 - 10*h**2 - 5*h**4 - k*h**5 + 2*h**5 - 2*h = 0. What is h?
-1
Let n(u) be the third derivative of u**7/42 - 23*u**6/24 + 143*u**5/12 - 605*u**4/24 + 4*u**2 + 4*u. Factor n(x).
5*x*(x - 11)**2*(x - 1)
Let r = 188/45 - 617/180. Factor 1/4*s**5 + 1/4*s**3 - r*s**2 + 3/4*s**4 + 0 - 1/2*s.
s*(s - 1)*(s + 1)**2*(s + 2)/4
Let l = 9 + -15. Let q = l - -7. Suppose 12*f + 10*f**3 + 18*f**2 + 3*f**4 + 2*f**3 + 2 + q = 0. What is f?
-1
Let j = -23 - -28. Let z(r) = 3*r**3 - 6*r**2 - 15*r. Let o(i) = 2*i**3 - 7*i**2 - 14*i. Let s(y) = j*z(y) - 6*o(y). Factor s(p).
3*p*(p + 1)*(p + 3)
Suppose 6*f = 5*f + 5. Let s(n) = -7*n**2 - 2*n - 1. Let m(o) = -6*o**2 - 2*o - 1. Let v(b) = f*s(b) - 6*m(b). Factor v(k).
(k + 1)**2
Let c(z) be the first derivative of z**3/3 - z**2 - 15*z + 114. Find b such that c(b) = 0.
-3, 5
Let p(t) = -2*t**3 + 40*t**2 - 86*t - 324. Let l(m) = -6*m**3 + 118*m**2 - 259*m - 972. Let v(z) = -4*l(z) + 11*p(z). Solve v(y) = 0 for y.
-2, 9
Let r(n) = -3*n**2 - 18*n - 22. Let k = -14 + 9. Let d(t) = -5*t**2 - 35*t - 45. Let j(p) = k*r(p) + 2*d(p). Factor j(i).
5*(i + 2)**2
Suppose -159*j + 164*j = 105. Let m be -5 + 8 + -1*j/9. Factor -1/3*g**5 + 1/3 - 2/3*g**2 - 1/3*g + m*g**3 + 1/3*g**4.
-(g - 1)**3*(g + 1)**2/3
Let u(a) be the second derivative of 1/7*a**7 + 0 + 0*a**2 - 3/4*a**4 + 38*a + 0*a**3 - 3/5*a**5 + 1/10*a**6. Determine m, given that u(m) = 0.
-1, 0, 3/2
Let n(b) be the second derivative of 15*b + 0 + 1/2*b**4 + 1/10*b**5 + 0*b**2 + 2/3*b**3. What is y in n(y) = 0?
-2, -1, 0
Let k(p) = -20*p**5 + 52*p**3 + 24*p**2 - 8*p. Let f(q) = q**5 + q**4 + q**2 + q. Suppose -9*i = -10*i - 24. Let r(j) = i*f(j) - k(j). Factor r(d).
-4*d*(d + 1)**2*(d + 2)**2
Suppose 7*a = 5*a + 8. Let c(t) = -t + 7. Let w be c(a). Find m such that -3*m + 9*m**3 - 25*m**w - 20*m**2 - m = 0.
-1, -1/4, 0
Let y(j) = -6*j**3 - 2*j**2 - 47*j + 2. Let z be y(0). Let v be (20/7)/((-3)/(-9)). Factor -z*m**3 - 1/7*m**4 - 50/7*m + 125/7 - v*m**2.
-(m - 1)*(m + 5)**3/7
Let p(c) be the second derivative of c**9/30240 + c**8/16800 - c**7/1680 + c**6/1200 - c**3/3 - 12*c. Let k(o) be the second derivative of p(o). Factor k(l).
l**2*(l - 1)**2*(l + 3)/10
Let n be (4/84)/((-1)/(-6)). Let h be 72/(-1008)*(-2 - 2). Factor -h*q**2 + 4/7*q - n.
-2*(q - 1)**2/7
Let m(n) be the third derivative of n**7/1260 - n**6/180 + n**5/72 - n**4/72 + 18*n**2. Let m(h) = 0. Calculate h.
0, 1, 2
Let p be ((-141)/(-188))/((-21)/(-16)) + 6/(-21). Factor 0 - p*s**4 + 0*s - 2/7*s**2 - 4/7*s**3.
-2*s**2*(s + 1)**2/7
Let g(q) = -48*q + 242. Let d be g(5). Let w(s) be the first derivative of 8 + 20/3*s**3 + 4*s**d + 0*s. Determine j, given that w(j) = 0.
-2/5, 0
Let s(i) be the third derivative of i**5/150 - 7*i**4/30 + 8*i**3/3 - 4*i**2 - 28. Factor s(t).
2*(t - 10)*(t - 4)/5
Let 40*g**2 + 128/3 + 2/3*g**4 + 28/3*g**3 + 208/3*g = 0. What is g?
-8, -2
Let u(c) be the t