**4 + 5*g**4 + 0*g - 25*g**3 + 6*g**2 - 3*g**5 + v*g**3.
-g*(g - 1)**3*(3*g - 1)
Let c(a) be the first derivative of -4*a**3/3 + 364*a**2 - 33124*a - 4. Factor c(h).
-4*(h - 91)**2
Let i(a) be the third derivative of -a**10/30240 + a**9/5040 - a**8/2240 + a**7/2520 + a**4/8 - 26*a**2. Let k(o) be the second derivative of i(o). Factor k(r).
-r**2*(r - 1)**3
Suppose -5*i = i - 18. Suppose c = -4*c + 10. Factor -5*h + h**2 + i*h + h + c*h.
h*(h + 1)
Let n be (-6)/10 + (39/15 - 0). Find f, given that -7*f**2 - 18*f**3 + 6*f**3 + 3*f**n + 8*f + 4*f**5 + 4*f**4 + 0*f = 0.
-2, -1, 0, 1
Factor 470*k + 70 + 7*k**2 + 432 - 2*k**2 - 37.
5*(k + 1)*(k + 93)
Find y such that 1/2*y**3 + 1/2*y**2 - 1/2*y**4 - 1/2*y + 0 = 0.
-1, 0, 1
Let u(v) = -5*v**2 + 30. Let d(r) = r. Let m be 77/(-55) - (-4)/10. Let p(q) = m*u(q) - 5*d(q). Determine f, given that p(f) = 0.
-2, 3
Let n(w) be the first derivative of -2/15*w**5 + 1/3*w**3 + 4/3*w**2 - 21 - 5/12*w**4 - 4/3*w. Suppose n(r) = 0. Calculate r.
-2, 1/2, 1
Let b = -17/2 - -55/6. Find g, given that 1/6 + 2/3*g**3 + g**2 + 1/6*g**4 + b*g = 0.
-1
Let l be (13/((-260)/(-168)))/((-6)/45). Let u = 65 + l. Solve 14/13*q - 6/13 + 2/13*q**3 - 10/13*q**u = 0.
1, 3
Let i(l) be the first derivative of -4*l**5/5 - 4*l**4 - 20*l**3/3 - 4*l**2 - 49. Factor i(s).
-4*s*(s + 1)**2*(s + 2)
Let w(u) = -4*u**2 - 3*u. Suppose -2*c + c - 1 = 0. Let o(y) = y**2 + y. Let t(k) = c*w(k) - 5*o(k). What is z in t(z) = 0?
-2, 0
Let w(m) be the first derivative of -m**8/3360 + m**7/1680 + m**6/720 - m**5/240 + 4*m**3 - 8. Let g(v) be the third derivative of w(v). Factor g(j).
-j*(j - 1)**2*(j + 1)/2
Let j(m) be the second derivative of -1/14*m**7 + 3/10*m**5 + 0*m**3 - 16*m + 0 + 1/10*m**6 + 0*m**4 + 0*m**2. Factor j(b).
-3*b**3*(b - 2)*(b + 1)
Let h be (8 - 12/1)*-1. Let l(u) be the first derivative of -1/2*u**h + 1/4*u**2 - 5 + u**3 - u - 2/5*u**5 + 1/4*u**6. Factor l(w).
(w - 1)**3*(w + 1)*(3*w + 2)/2
Let w(r) = -39*r - 4. Let j be w(2). Let p = j - -147. Factor 4*t**2 + 32 - 2*t**4 + 31 - p.
-2*(t - 1)**2*(t + 1)**2
Let c = 18 - 12. Factor -18*l**2 + 4*l**2 + 8*l - 3*l**4 - c*l**2 + 14*l**3.
-l*(l - 2)**2*(3*l - 2)
Let i(v) be the second derivative of 289*v**4/12 + 136*v**3 + 288*v**2 + 3*v + 8. Factor i(k).
(17*k + 24)**2
Let h(u) be the second derivative of -1/2*u**4 + 0 - 3*u**2 - 1/20*u**5 - 11/6*u**3 + 2*u. Determine c so that h(c) = 0.
-3, -2, -1
Let q(l) be the third derivative of -l**7/1890 - 2*l**6/135 - 7*l**5/90 + 49*l**4/27 + 1715*l**3/54 + 361*l**2. Factor q(f).
-(f - 5)*(f + 7)**3/9
What is k in 40 + 5*k**3 + 62*k**2 + 85*k - 139*k**2 + 76*k**2 + 51*k**2 = 0?
-8, -1
Let n be (-8)/((-4)/2) - (-52)/2. Factor -12*o**4 - 3*o**3 + 8*o**5 - 18*o**2 + 10*o**5 - n*o**3 - 15*o**5.
3*o**2*(o - 6)*(o + 1)**2
Let b = -21 + 28. Let w be ((-96)/(-28) + -4)/((-6)/b). Factor -4/3 - 2*u**3 + 2/3*u**4 + 2*u + w*u**2.
2*(u - 2)*(u - 1)**2*(u + 1)/3
Let l be 605/(-25)*2/(-453). Let u = l - -4/151. Let 8/15*v**2 + 2/3*v + u = 0. What is v?
-1, -1/4
Let w(u) be the third derivative of -u**6/720 + u**5/60 - 11*u**4/144 + u**3/6 - 3*u**2 - 7. Factor w(m).
-(m - 3)*(m - 2)*(m - 1)/6
Let m be ((-4)/10)/((-120)/400). Let i(a) be the second derivative of m*a**3 - 5*a + 2*a**2 + 1/3*a**4 + 0. Determine c so that i(c) = 0.
-1
Let v(o) be the third derivative of -o**8/336 - o**7/14 - 13*o**6/120 + o**5/4 + 7*o**4/12 - 26*o**2 + 6*o. Determine b so that v(b) = 0.
-14, -1, 0, 1
Suppose -q - 10 = -2*d, -3*q + 0 = 4*d - 10. Let x(h) be the second derivative of 4*h + 1/10*h**5 - 8*h**2 - 4/3*h**3 + 1/3*h**d + 0. Factor x(a).
2*(a - 2)*(a + 2)**2
Let d be (-4 - 22/(-1))/1. Let -16*q**2 - 38*q + 21 + 10*q**3 - 51 + d = 0. What is q?
-1, -2/5, 3
Let z(d) be the first derivative of 0*d - 5/3*d**3 - d**5 - 10 + 5/2*d**4 + 0*d**2. Suppose z(g) = 0. Calculate g.
0, 1
What is o in -3/2*o**2 + 45/2*o - 21 = 0?
1, 14
Suppose -5155 + 8086*q**3 - 3840*q + 1059 + 252*q**2 - 8090*q**3 = 0. What is q?
-1, 32
Let c(a) be the second derivative of -a + 1/21*a**3 + 0*a**2 + 5/84*a**4 + 1/35*a**5 + 1/210*a**6 + 0. Factor c(s).
s*(s + 1)**2*(s + 2)/7
Let p(u) = -u**2 + 50*u + 1311. Let a be p(-19). Factor a*j**2 + 0*j + 0 + 1/2*j**3.
j**3/2
Let x(a) be the first derivative of a**6/48 + 11*a**5/40 + 19*a**4/16 + 17*a**3/12 - 39*a**2/16 - 45*a/8 + 153. Solve x(r) = 0 for r.
-5, -3, -1, 1
Suppose 3*m = p - 1, -5*p - 2*m + 24 = 2*m. Find c such that -2*c - 15*c**3 + 5*c**2 - 5*c**4 + p*c + 2*c + 11*c = 0.
-3, -1, 0, 1
Let c(b) be the second derivative of b**4/4 + 10*b**3 - 207*b**2/2 - 86*b - 4. Find h such that c(h) = 0.
-23, 3
Let y(v) be the third derivative of -2/105*v**7 + 0 + 11*v**2 - 1/5*v**6 + 1/84*v**8 + 5/6*v**4 + 0*v - 2/15*v**5 + 2*v**3. Factor y(m).
4*(m - 3)*(m - 1)*(m + 1)**3
Suppose 0 = -p + 2*n + 11, -4*p - 4*n + 36 = -8*n. Factor 2*v**2 + 3*v**2 - p*v**2 + 8*v.
-2*v*(v - 4)
Let p(n) = -21*n**3 + 4*n**2 + 16*n - 4. Let v(w) = -4*w**3 + w**2 - w - 1. Let x(l) = -p(l) + 4*v(l). Find k, given that x(k) = 0.
-2, 0, 2
Let y = 6822 - 47730/7. Let 6/7*w**4 + y*w**3 + 0 + 30/7*w**2 + 12/7*w = 0. Calculate w.
-2, -1, 0
Suppose 3*t = -17*t + 460. Suppose -4 = 3*y - 5*s, -t*y + s + 2 = -21*y. Factor 1/9*q**y + 1/9*q + 0.
q*(q + 1)/9
Let x(s) be the third derivative of 0 - 1/600*s**6 + 1/525*s**7 + 11*s**2 + 0*s**4 + 1/1680*s**8 - 1/150*s**5 + 0*s**3 + 0*s. What is r in x(r) = 0?
-2, -1, 0, 1
Find j such that -124*j - 8 + 4*j**2 + 8 + 22*j - 70*j = 0.
0, 43
Let g(f) = 11215*f**2 - 424*f + 11. Let b(v) = 16824*v**2 - 636*v + 16. Let k(a) = -7*b(a) + 10*g(a). Find s such that k(s) = 0.
1/53
What is t in 0 + 124/3*t - 2/3*t**2 = 0?
0, 62
Let k(z) = z - 7. Let i be k(17). Suppose i*j - 4 = -3*g + 5*j, -g - 4*j = 1. Suppose -15/2*p**4 + 0 + 9/2*p**5 + 7/2*p**g + 0*p - 1/2*p**2 = 0. What is p?
0, 1/3, 1
Let m(r) be the third derivative of -9*r**8/2240 + 2*r**7/105 - r**6/48 - r**5/20 - 4*r**4/3 + 9*r**2. Let i(x) be the second derivative of m(x). Factor i(h).
-3*(h - 1)**2*(9*h + 2)
Let i = -236 - -238. Let a(n) = 17*n**2 + 9*n - 23. Suppose -3 = s + 6. Let h(g) = 4*g**2 + 2*g - 6. Let c(z) = i*a(z) + s*h(z). Factor c(u).
-2*(u - 2)*(u + 2)
Suppose -18 - 21 = -13*h. Let k be 0/h - (-4 + 2 - -2). Factor k + 16/7*p**3 - 2*p**2 + 2/7*p + 32/7*p**4.
2*p*(p + 1)*(4*p - 1)**2/7
Let c(m) be the second derivative of m**7/84 - 3*m**6/20 + 3*m**5/20 + 2*m**4/3 - 397*m. Determine z, given that c(z) = 0.
-1, 0, 2, 8
Let d = 1167 + -1163. Let u(o) be the first derivative of 1/6*o**4 + 0*o**3 + 0*o + d - 1/3*o**2. Find k, given that u(k) = 0.
-1, 0, 1
Let w(x) be the third derivative of -x**5/240 + x**4/12 - 2*x**3/3 - 140*x**2. Factor w(i).
-(i - 4)**2/4
Let p(k) be the second derivative of -k**6/180 - k**5/135 - 5*k**2/2 - 7*k. Let n(m) be the first derivative of p(m). Determine w so that n(w) = 0.
-2/3, 0
Suppose -53*y + 44*y + 45 = 0. Let f(i) be the first derivative of 0*i - 3/25*i**y - 3/10*i**2 + 2 + 3/20*i**4 + 1/5*i**3. Determine k, given that f(k) = 0.
-1, 0, 1
Let i(a) = a**2 - 33*a - 26. Let r(w) = -w**2 + 2*w - 1. Let j(z) = -i(z) - 2*r(z). Factor j(h).
(h + 1)*(h + 28)
Let b(a) = -3*a**3 + 9*a**2 - 27*a + 15. Let g(m) = -4*m**3 - 41*m + m**3 + 15*m + 14 + 10*m**2. Let j(v) = -5*b(v) + 6*g(v). Suppose j(s) = 0. What is s?
1, 3
Let t(f) = 3*f**3 - 2*f**2 + 2*f - 1. Let g be t(1). Factor 2*k**3 - 2133 + g*k**2 + 2133.
2*k**2*(k + 1)
Let g be ((-15)/(-30))/(80/36) + (-9)/(-24). Factor -1/5 - 1/5*m**2 - 3/5*m + g*m**3 + 2/5*m**4.
(m - 1)*(m + 1)**2*(2*m + 1)/5
Let a be (-14)/3*36/(-14). Suppose -5*r = -4*t + 2 - 5, -3*r = t - a. Suppose -m**2 - 3*m**3 + m**3 + 3*m**t + 2*m**2 = 0. What is m?
-1, 0
Suppose 4*r + 834 = -3*o, -3*r + 20 = -o + 652. Let n = r + 213. Factor -8/13 + 0*m + 6/13*m**2 + 2/13*m**n.
2*(m - 1)*(m + 2)**2/13
Let c(p) be the third derivative of 1/11*p**3 + 2*p**2 + 0 + 1/385*p**7 + 0*p + 1/33*p**4 + 1/462*p**8 - 1/55*p**5 - 2/165*p**6. Solve c(k) = 0 for k.
-1, -3/4, 1
Let v be (-98)/(-12)*((-3)/(-35))/(184/460). Find o, given that -5/4*o**5 + 0*o + 3/2*o**2 - v*o**3 + 0 - 9/2*o**4 = 0.
-3, -1, 0, 2/5
Suppose -4*p = 8, -4*d = d + 3*p - 4. Find f, given that 4 - 2*f**5 + d*f + 4*f**4 + 329*f**2 - 337*f**2 + 4*f**3 - 4*f = 0.
-1, 1, 2
Suppose 3*t + 2*p = 20, 2*p = 5*t + 