*q + 9 + 4*q**2 + 1/660*q**6 - 7/330*q**5 + 0*q**3. Factor f(m).
2*m**2*(m - 7)/11
Let w(l) be the third derivative of 0 + 13/60*l**5 + 1/3*l**3 + 1/48*l**6 + 32*l**2 + 25/48*l**4 - 2*l. Factor w(p).
(p + 1)*(p + 4)*(5*p + 1)/2
Let c(r) be the first derivative of -63 - 50*r**2 - 105*r + 5/3*r**3. Factor c(l).
5*(l - 21)*(l + 1)
Suppose 2*z - 278 + 298 = -2*a, -2*z - 35 = -3*a. Let 3 - a*b + 3/4*b**2 = 0. Calculate b.
2
What is c in 2*c**5 + 156*c**2 - 105*c**3 + 138*c + 116*c**4 - 227*c + 429*c**3 - 240 + 10*c**5 - 279*c = 0?
-5, -3, -2, -2/3, 1
Let i be 68 + -59 - 3190/374. Solve -i*l**2 - 2/17*l**5 + 0 + 18/17*l**4 - 36/17*l**3 + 48/17*l = 0.
-1, 0, 2, 6
Suppose -687 - 418 = -221*i. Let m(u) be the second derivative of -24*u + 0 - 1/60*u**i - 1/18*u**4 + 0*u**3 + 0*u**2. Factor m(p).
-p**2*(p + 2)/3
Suppose -4/11 + 926/11*v + 4/11*v**2 - 926/11*v**3 = 0. Calculate v.
-1, 2/463, 1
Suppose -56 = 3*i - 62. Suppose -166*g**i - 12*g + 167*g**2 + g + 10 = 0. Calculate g.
1, 10
Let x(f) be the second derivative of 54*f**7/7 + 156*f**6/5 + 241*f**5/5 + 104*f**4/3 + 32*f**3/3 - 47*f + 7. Find i such that x(i) = 0.
-1, -4/9, 0
Factor -2178*r**3 + 6519*r**3 - 2175*r**3 - 2163*r**3 - 9*r - 6*r**2.
3*r*(r - 3)*(r + 1)
Let w(g) be the second derivative of 57*g + 1/3*g**4 - 1/10*g**5 + 0*g**3 + 0 + 0*g**2 - 1/5*g**6. What is l in w(l) = 0?
-1, 0, 2/3
Let 21*i - 1/2*i**2 + 235/2 = 0. What is i?
-5, 47
Suppose -37*r + 36*r - 4*x = 10, 0 = 6*r - 2*x - 96. Let q(b) be the first derivative of 2/9*b**3 - r + 4/3*b**2 + 8/3*b. Factor q(c).
2*(c + 2)**2/3
Factor 604/3 + 296/3*u**2 + 902/3*u - 2/3*u**3.
-2*(u - 151)*(u + 1)*(u + 2)/3
Let h(s) = s**3 + 6*s**2 - 9*s + 1. Let y be (-6)/(-45) - (-78)/90. Let q(l) = l**2 + 2. Let d(k) = y*h(k) - 5*q(k). Find v, given that d(v) = 0.
-3, -1, 3
Suppose 2*f - 5*o - 196 = 0, 2*f - 6*f - 4*o = -392. Let w = f - 88. Solve 56 - 68 + 2*s**2 + 0*s**2 - w*s = 0.
-1, 6
Suppose 8 = 6*g - 2*g. Suppose 3*u - 15 = p, 746*p = -5*u + 750*p + 32. Solve 3*w**3 + 0 + 3/4*w**u + 3/2*w + 15/4*w**g = 0.
-2, -1, 0
Let y be 3/2239*7/((-42)/4). Let c = 4472/6717 - y. What is i in 2/3*i**3 - 2/3*i - c*i**2 + 0 + 2/3*i**4 = 0?
-1, 0, 1
Let f(c) = -25*c**3 - 220*c**2 + 755*c - 490. Let o(p) = 8*p**3 + 73*p**2 - 251*p + 164. Let q(m) = 3*f(m) + 10*o(m). Factor q(b).
5*(b - 2)*(b - 1)*(b + 17)
Let -5194874 - 136411*l - 2842351 + 142081*l - l**2 = 0. Calculate l.
2835
Let k(u) be the second derivative of u**4/12 + 11*u**3/6 - 5*u**2 - 266*u. Let b be k(-12). Factor -2/11*r**3 + 0 + 4/11*r - 2/11*r**b.
-2*r*(r - 1)*(r + 2)/11
Let c = 3082 + -36983/12. Let o(m) be the second derivative of 0 + 0*m**2 + 11*m - c*m**4 - m**3. Factor o(d).
-d*(d + 6)
Let w(x) be the third derivative of 0 + 2/15*x**5 - 1/3*x**3 + 0*x - 25/72*x**4 - 1/72*x**6 + 47*x**2. Factor w(n).
-(n - 3)*(n - 2)*(5*n + 1)/3
What is x in 715 - 8*x**2 - 3*x**2 - 252*x + 10*x**2 + 50 = 0?
-255, 3
Let o be (-2 - 0) + 10/4. Suppose l = 5*s + 7, -4816*l + 4815*l = 5*s - 27. Find r such that -6*r - 18 - o*r**s = 0.
-6
Let q(b) be the second derivative of 8*b**6/3 + 2*b**5 - 1705*b**4/4 - 1280*b**3/3 - 160*b**2 + b + 457. Find n, given that q(n) = 0.
-8, -1/4, 8
Let v = 758/7 - 2113/21. Let o = -22/3 + v. Let o*n - 1/9*n**2 + 0 = 0. What is n?
0, 3
Suppose -3*m - 77 = -10*m. Suppose -11*u + 99 = m. Suppose -7*g**2 + u*g**3 + 6*g**3 - 9*g**3 + 2*g**2 = 0. What is g?
0, 1
Let u = 349 + -347. Factor 18*i + 8*i**u - 84 + 28*i - 4*i**2 + 21*i - 51*i.
4*(i - 3)*(i + 7)
Suppose 0 = -5*m + b + 13, 4*m + 5 = 8*m + b. Factor 3*j**3 + 171*j**m - 5*j**3 - 175*j**2.
-2*j**2*(j + 2)
Let t(n) be the third derivative of -n**5/60 + 19*n**4/24 - 13*n**3/6 - 5*n**2. Let h be t(12). Suppose -66*q**3 + h*q**3 + q**2 - 16*q**2 = 0. Calculate q.
0, 3
Suppose 64*p - 48 = -130*p + 340. Solve 0 - 134/11*f**4 - 204/11*f**3 - 28/11*f**5 - 104/11*f**p - 16/11*f = 0 for f.
-2, -1/2, -2/7, 0
Let h(d) = d**2 - 24*d - 47. Let f = 413 + -415. Let w be h(f). Let 2/5*x**3 - 4/5*x**2 - 2/5*x**w + 0 + 4/5*x**4 + 0*x = 0. What is x?
-1, 0, 1, 2
Let z(l) = 2*l**2 + 11. Let j be z(3). Let f = j - 23. Factor f*x + 8*x + 5*x**2 - 6 + 55 - 4*x**2.
(x + 7)**2
What is j in -25 + 0*j**3 + 65/6*j - 4/3*j**4 + 47/3*j**2 - 1/6*j**5 = 0?
-5, -2, 1, 3
Let d(y) be the third derivative of -y**5/80 - 55*y**4/32 - 39*y**3/2 + 863*y**2. Suppose d(z) = 0. Calculate z.
-52, -3
Suppose -2*i = 4*i - 24. Suppose i*r = 3*g + 35, -5*r + 4 = g - 16. Determine j so that j**r + 35*j**4 + 15*j**2 + 2*j + 8*j**5 - 2*j**4 + 37*j**3 = 0.
-2, -1, -1/3, 0
Suppose 4 = 2*d, -565*t + 557*t - 6*d + 30 = -3*d. Factor 54/5*f**2 - 39/5*f - t.
3*(f - 1)*(18*f + 5)/5
Let j(c) be the second derivative of -36/11*c**2 - c**3 + 4*c - 5/33*c**4 - 10 - 1/110*c**5. Factor j(h).
-2*(h + 3)**2*(h + 4)/11
Suppose 60 = 2*l - 26. Find z, given that -53*z + 2*z + 41*z**2 - 25 - l*z**2 = 0.
-25, -1/2
Let r(h) = -2*h**4 + 20*h**3 - 84*h**2 + 12*h + 100. Let g(j) = -8*j**4 + 59*j**3 - 252*j**2 + 38*j + 294. Let a(b) = 2*g(b) - 7*r(b). Factor a(i).
-2*(i - 2)**2*(i + 1)*(i + 14)
Let n = 163/6 + -1771/78. What is i in -12/13 + n*i + 10/13*i**2 = 0?
-6, 1/5
Suppose 22 + 125 = 49*m. Suppose -81*t + 86*t + 3*u = 13, m*u = 3. Factor -1/3*p**3 - 2/3*p + 0 - p**t.
-p*(p + 1)*(p + 2)/3
Let s(v) be the second derivative of v**6/165 - 7*v**5/55 + 53*v**4/66 - 40*v**3/33 + 1848*v. What is t in s(t) = 0?
0, 1, 5, 8
Let w = 1637 - 1637. Let x(g) be the third derivative of -1/120*g**6 + 1/336*g**8 + 1/105*g**7 + w + 0*g**4 + 0*g**3 + 0*g - 1/30*g**5 + 12*g**2. Factor x(q).
q**2*(q - 1)*(q + 1)*(q + 2)
Let -61/7*m + 12/7*m**3 + 30/7 + 1/7*m**5 + 26/7*m**2 - 8/7*m**4 = 0. What is m?
-2, 1, 3, 5
Let t(c) be the second derivative of -c**5/20 - 181*c**4/12 + 9011*c. Suppose t(d) = 0. Calculate d.
-181, 0
Let g(l) be the third derivative of -l**8/3360 + l**7/168 - l**6/80 + 154*l**3/3 + l**2 + 159*l. Let p(z) be the first derivative of g(z). Factor p(m).
-m**2*(m - 9)*(m - 1)/2
Let n be (-60)/21 + 1/(-7). Let q be (4/6)/((-1)/n). Solve 16/9 - 8/9*r + 1/9*r**q = 0.
4
Solve -3*s - 5*s**2 - 9*s - s**3 - 6*s**3 + 18*s + 3*s**3 = 0 for s.
-2, 0, 3/4
Let h(y) be the second derivative of 7*y**6/195 + y**5/65 - 49*y**4/78 - 56*y**3/39 - 12*y**2/13 - 724*y. What is f in h(f) = 0?
-2, -1, -2/7, 3
Suppose 0*f = -5*f + 25. Suppose f*z - 30 = 3*z + 5*c, -3*c = -3*z + 27. Factor 5*g**4 + 5 - 10*g**2 - 6*g**3 - 5*g + 9*g**3 - 5*g**z + 0*g**2 + 7*g**3.
-5*(g - 1)**3*(g + 1)**2
Let n be (22/77)/(3/((-42)/(-32))). Let l(k) be the third derivative of 0*k + 13*k**2 + 0 - 1/160*k**5 - 1/64*k**4 + n*k**3. Factor l(i).
-3*(i - 1)*(i + 2)/8
Let c be -6 - (-1814)/315 - (-4)/14. Let v(g) be the first derivative of 8/27*g**3 + 9 - c*g**5 - 1/18*g**4 + 0*g + 4/9*g**2. Find o, given that v(o) = 0.
-2, -1, 0, 2
Let t(d) = -10*d + 150. Let m be t(14). Let k(v) = -3*v**3 - v**2 - v + 1. Let s(w) = w**3 + w**2 + w - 1. Let r(z) = m*s(z) + 5*k(z). Factor r(p).
-5*(p - 1)**2*(p + 1)
Solve 38*a - 4*a**2 + 26*a + 7*a + 3*a = 0.
0, 37/2
Find b, given that -7*b + 39*b + 44*b**2 + 1338*b**3 - 10 - 1334*b**3 - 70 = 0.
-10, -2, 1
Let s(k) = -2*k**4 + 7*k**3 + 3*k**2 - 3. Let t(m) = -3*m**4 + 8*m**3 + 2*m**2 - 2. Suppose -19 + 10 = -3*r. Let y(v) = r*t(v) - 2*s(v). Solve y(w) = 0.
0, 2
Let g(q) = 11*q**2 + 137*q - 600. Let x(w) = 4*w**2 + 46*w - 200. Suppose -6*b + 11*b + 30 = 0. Let d(p) = b*g(p) + 17*x(p). Factor d(a).
2*(a - 10)**2
Let k(y) be the second derivative of -3*y**5/40 - 47*y**4/8 + 37*y**3 - 75*y**2 + 992*y. Factor k(s).
-3*(s - 2)*(s - 1)*(s + 50)/2
Let d(a) be the third derivative of -a**7/315 - 7*a**6/180 - 7*a**5/45 - 2*a**4/9 + 7*a**2 + 54*a. Solve d(r) = 0.
-4, -2, -1, 0
Let f be 5/(14 + -4)*(-46)/((-322)/(-14)) - -3. Suppose 4/7*i - 2/7*i**4 + 2/7*i**f + 0 - 4/7*i**3 = 0. Calculate i.
-2, -1, 0, 1
Let m(r) = -8*r**2 + 51*r + 360. Let n(x) = 3*x**2 - 16*x - 120. Let u = -87 + 94. Let c(h) = u*n(h) + 2*m(h). Factor c(i).
5*(i - 6)*(i + 4)
Let l(f) be the third derivative of f**7/315 - 199*f**6/540 - f**5/2 + 67*f**4/108 - 566*f**2 - f. Find y, given that l(y) = 0.
-1, 0, 1/3, 67
Let i be (10/(-3))/(-5 - 119/(-21)). Let b be 0 + ((-25)/5)/i. Determine u, given that -b - 19/4*u**2 - 1/8*u**5 - 7/2*u - u**4 - 25/8*u**3 = 0.
-2, -1
Let 