-12). Suppose -2*w + 3*w = 2*c + p, -c - 6 = -3*w. Factor -8*h**2 + h - 3*h**3 + 14*h**w - 4*h.
-3*h*(h - 1)**2
Let y be 1308/(-3815)*(-7)/3. Factor 6/5 - 2/5*j**2 - y*j.
-2*(j - 1)*(j + 3)/5
Let j(i) = i**3 - 11*i**2 - 16*i + 35. Let u(x) = x**3 - 12*x**2 - 16*x + 42. Let w(d) = -6*j(d) + 5*u(d). Factor w(n).
-n*(n - 8)*(n + 2)
Let r(j) be the third derivative of 5*j**8/336 + j**7/35 - 7*j**6/60 - 7*j**5/15 - 5*j**4/8 - j**3/3 + j**2 + 1. What is f in r(f) = 0?
-1, -1/5, 2
Suppose -5*x + 84 = 16*x. Let h(s) be the second derivative of -1/60*s**4 + 0*s**2 + x*s + 1/30*s**3 + 0. Let h(y) = 0. What is y?
0, 1
Let h(p) be the second derivative of -p**8/13440 - p**7/2520 + p**6/1440 + p**5/120 + 5*p**4/3 + 17*p. Let f(u) be the third derivative of h(u). Solve f(m) = 0.
-2, -1, 1
What is o in 10/13*o**2 + 2/13*o**4 + 48/13*o - 12/13*o**3 - 72/13 = 0?
-2, 2, 3
Let o = 31113 - 31109. Factor 0 + 0*h + 1/2*h**o + 1/2*h**2 - 17/8*h**3.
h**2*(h - 4)*(4*h - 1)/8
Let h(q) be the third derivative of -q**6/120 + q**5/40 + 17*q**3/6 + 30*q**2. Let r(k) be the first derivative of h(k). Factor r(d).
-3*d*(d - 1)
Let j(g) be the third derivative of g**7/280 - 3*g**5/40 + g**4/4 + 4*g**3/3 + 23*g**2. Let c(u) be the first derivative of j(u). Factor c(f).
3*(f - 1)**2*(f + 2)
Let d(x) = x**2 + 12*x + 37. Let y be d(-7). Suppose o - y*o = 0. Solve 8*s**3 + 32/7*s**5 - 72/7*s**4 + o - 18/7*s**2 + 2/7*s = 0 for s.
0, 1/4, 1/2, 1
Let r = -147/2 - -1339/18. Let v(o) be the first derivative of r*o**3 + 1/6*o**4 + 9 + 5/3*o**2 + 4/3*o. Find p, given that v(p) = 0.
-2, -1
Let w(i) be the third derivative of 0*i**3 - 5/126*i**7 - 17*i**2 - 17/72*i**6 - 1/24*i**4 + 0 - 31/180*i**5 + 0*i. Determine n so that w(n) = 0.
-3, -1/5, 0
Find d, given that 5*d**3 - 2*d**3 + 1899*d**2 + 675*d - 957*d**2 - 837*d**2 + 2*d**3 + 1375 = 0.
-11, -5
Suppose 2*l + 10 - 116 = 0. Factor 52*u**3 - l*u**3 - 4*u**2 - 4*u**2 - u**2.
-u**2*(u + 9)
Factor 1/7*k**5 - 1/7 - 1/7*k**4 + 1/7*k - 2/7*k**3 + 2/7*k**2.
(k - 1)**3*(k + 1)**2/7
Let n(h) be the first derivative of -h**4/10 - 62*h**3/15 + 32*h**2/5 - 284. Find j, given that n(j) = 0.
-32, 0, 1
Let s(y) = 200*y**2 + 1401*y + 9. Let x be s(-7). Let 2/19*f - 2/19*f**x + 12/19 = 0. Calculate f.
-2, 3
Determine j, given that -56*j**3 - 12*j**3 - 32*j**3 - 30*j**3 + 13*j**3 - 3*j**4 - 222*j**2 = 0.
-37, -2, 0
Let n(j) = -5*j**2 + j - 1. Let h(k) = 39*k**2 + 77*k + 7. Let f(p) = h(p) + 7*n(p). Factor f(g).
4*g*(g + 21)
Let q(r) be the third derivative of 0*r + 1/1512*r**8 - 4/135*r**5 + 30*r**2 + 0*r**3 - 2/315*r**7 + 0*r**4 + 1/45*r**6 + 0. Factor q(l).
2*l**2*(l - 2)**3/9
Let b(u) be the first derivative of u**6/36 + u**5/30 - 7*u**4/24 - u**3/18 + u**2/2 - 69. Determine q, given that b(q) = 0.
-3, -1, 0, 1, 2
Let o(f) be the first derivative of 1/3*f**4 - 3 - 1/10*f**5 + 0*f**2 - 1/3*f**3 + f. Let s(r) be the first derivative of o(r). Factor s(i).
-2*i*(i - 1)**2
Let s(m) be the second derivative of 0 + 1/6*m**4 + 2*m**3 - m + 9*m**2. Solve s(w) = 0.
-3
Let j(f) = -5*f**3 + 114*f**2 + 165*f + 46. Let d(i) = -i**3 + 28*i**2 + 41*i + 12. Let o(h) = -26*d(h) + 6*j(h). Determine w so that o(w) = 0.
-9, -1
Let a(i) be the first derivative of 0*i**2 + 0*i - 15 - 1/13*i**4 + 2/39*i**3 + 2/65*i**5. What is l in a(l) = 0?
0, 1
Determine x so that 21/8*x**3 + 0*x + 15/8*x**4 + 9/8*x**2 + 0 + 3/8*x**5 = 0.
-3, -1, 0
Find o such that 68/5*o - 2/5*o**3 - 66/5*o**2 + 0 = 0.
-34, 0, 1
Let u(k) be the second derivative of -10*k**2 - 5/12*k**4 + 0 + 3*k - 10/3*k**3. Determine y so that u(y) = 0.
-2
Suppose 0 = 2*g - 13*z + 17*z - 14, 0 = -g + 4*z - 5. Factor -1/4*u**2 + 0 + 1/8*u**g + 0*u.
u**2*(u - 2)/8
Let v(b) be the first derivative of b**6 + 16*b**5/15 - 14*b**4/3 - 4*b**3/3 + 19*b**2/3 - 4*b/3 + 745. Solve v(s) = 0.
-2, -1, 1/9, 1
Let b(h) = 4*h**2 - 8*h + 9. Let w = 51 + -54. Let m(z) = 2*z**2 - 4*z + 5. Let i(u) = w*b(u) + 5*m(u). Suppose i(g) = 0. What is g?
1
Let s(l) be the first derivative of l**6/2 - 9*l**5/5 + 4*l**3 + 126. Suppose s(z) = 0. What is z?
-1, 0, 2
Let w(l) = l**2 + 6*l + 10. Let h be w(-4). Factor -6*u - 15*u**5 - 9*u**3 + 10*u**5 + 8*u**5 + 15*u**h - 3*u**4.
3*u*(u - 1)**3*(u + 2)
Let g(x) = 1. Let b(r) = -10*r**2 - 48*r + 105. Let c(w) = 4*w**2 + 16*w - 35. Let k(i) = -3*b(i) - 8*c(i). Let m(v) = 3*g(v) + k(v). Find f such that m(f) = 0.
4
Let a = -234 - -945/4. Factor -11/2*r**3 + 0 + 2*r**4 - a*r + 6*r**2 - 1/4*r**5.
-r*(r - 3)**2*(r - 1)**2/4
Factor -148/11*p + 2/11*p**3 + 0 + 70/11*p**2.
2*p*(p - 2)*(p + 37)/11
Let c be ((-10)/20)/((-1)/6). What is s in 7*s**2 - 2*s - 3*s**2 - c*s**2 = 0?
0, 2
Factor -224*r - 10*r**4 - 208*r**2 - 96 - 26*r**5 - 96*r**3 - 12*r**4 + 24*r**5.
-2*(r + 2)**4*(r + 3)
Let q(w) be the first derivative of w**4/22 - 130*w**3/33 + 127*w**2/11 - 126*w/11 + 649. Factor q(s).
2*(s - 63)*(s - 1)**2/11
Let z = -11047/5 + 2211. Let k(f) be the first derivative of z*f**2 - 8/5*f - 2/5*f**3 - 12. Solve k(n) = 0 for n.
2/3, 2
Factor 50 + 197*f + 206*f - f**3 - 378*f - 2*f**2.
-(f - 5)*(f + 2)*(f + 5)
Let t(q) be the third derivative of -q**6/150 + 4*q**5/75 + 11*q**4/30 + 4*q**3/5 - 253*q**2. Factor t(x).
-4*(x - 6)*(x + 1)**2/5
Let l(n) = 4*n**2 - 14*n + 54*n + 26*n**2 + 11*n. Let g(h) be the second derivative of -h**4/4 - 5*h**3/6 - 11*h. Let f(w) = 21*g(w) + 2*l(w). Solve f(t) = 0.
-1, 0
Let g(h) be the third derivative of -h**7/175 + 13*h**6/300 - 19*h**5/150 + 11*h**4/60 - 2*h**3/15 + 148*h**2. Find s, given that g(s) = 0.
1/3, 1, 2
Let h(x) be the second derivative of -x**7/5040 + x**6/360 - x**5/60 + x**4/18 - x**3/3 + 11*x. Let v(k) be the second derivative of h(k). Factor v(f).
-(f - 2)**3/6
Let l = -330 + 343. Suppose -3*k - 9 = 0, l*k + 15 = 2*i + 10*k. Factor 12/5*p**2 - 9/5*p**i - 1/5*p - 2/5.
-(p - 1)*(3*p - 2)*(3*p + 1)/5
Let w be 1457/(-7) + (-9)/(-3). Let v = 206 + w. Factor 15/7*m**2 + v - 3*m.
3*(m - 1)*(5*m - 2)/7
Let q(p) be the third derivative of 11/300*p**5 + 0*p + 1/60*p**4 + 3*p**2 + 0 - 1/420*p**8 + 0*p**3 - 1/1050*p**7 + 1/50*p**6. Suppose q(l) = 0. What is l?
-1, -1/4, 0, 2
What is w in 200*w**4 - 400*w**4 + 197*w**4 - 3*w**3 = 0?
-1, 0
Let s(t) = -20*t**2 - 25*t - 80. Let r(o) = o**2 + 2*o + 2. Let x(b) = -25*r(b) - s(b). Factor x(j).
-5*(j - 1)*(j + 6)
Let 1024/3 + 64/3*g + 1/3*g**2 = 0. Calculate g.
-32
Let w = -276 + 434. Let u = 160 - w. Find o, given that 8/3*o**4 + o**5 - 1/3*o + u*o**3 + 0 + 0*o**2 = 0.
-1, 0, 1/3
Let z(a) = -44*a**3 - 98*a**2 - 14*a + 422. Let p(c) = 13*c**3 + 33*c**2 + 5*c - 141. Let h(q) = 20*p(q) + 6*z(q). Factor h(u).
-4*(u - 18)*(u - 2)*(u + 2)
Let r(q) be the first derivative of -q**3/36 + q**2/4 + 7*q/12 - 80. Factor r(n).
-(n - 7)*(n + 1)/12
Suppose -3*o - 228*n = -225*n - 21, 4*o = 3*n + 7. Factor -10/3*x + 2/3*x**3 - 2/3*x**o + 4/3 + 2*x**2.
-2*(x - 1)**3*(x + 2)/3
Let x(u) be the third derivative of 4*u**2 - 3/280*u**6 + 0*u + 0*u**3 + 1/70*u**5 + 0 + 1/784*u**8 + 0*u**7 + 0*u**4. Let x(z) = 0. What is z?
-2, 0, 1
Suppose -2*p = 3*o - 155, -1 = p - 2*o - 89. Let v = 84 - p. Solve 2/15*n**v + 0 - 2/15*n**4 + 0*n + 0*n**3 = 0 for n.
-1, 0, 1
Suppose -3*z - 4*q - 106 = q, -155 = 5*z + 4*q. Let g be z/(-21) + 4/(-4). Factor -10/7*c - 4/7 - g*c**3 - 8/7*c**2.
-2*(c + 1)**2*(c + 2)/7
Let q = -1751 - -210121/120. Let f(k) be the second derivative of 0*k**5 + 0 - 1/48*k**4 + 0*k**2 + 0*k**3 + q*k**6 - 6*k. Factor f(a).
a**2*(a - 1)*(a + 1)/4
Let g = 6 - 4. Suppose -x - g*x = -12. Factor 9*i**5 - 2*i**5 - 12*i**3 + 12*i**4 + x*i**2 - 11*i**5.
-4*i**2*(i - 1)**3
Suppose -4*r + 12 = 4*t, 0*r + 2*r = 5*t + 6. Suppose 5*y - y = t. What is g in y + 2*g + g - 6*g**2 - g + 4 = 0?
-2/3, 1
Let r(n) = -3*n**2 + 2*n + 5. Let h(f) = -15*f**2 + 9*f + 24. Suppose o + 2*o - 6 = 0. Suppose -53 + 5 = -o*a. Let l(v) = a*r(v) - 5*h(v). Factor l(c).
3*c*(c + 1)
Let b(v) be the first derivative of 0*v**3 + 1/20*v**4 + 0*v**5 + 1 + 0*v - 1/30*v**6 + 0*v**2. Suppose b(z) = 0. Calculate z.
-1, 0, 1
Suppose -80/7*h - 54/7*h**2 - 10/7*h**3 - 24/7 = 0. What is h?
-3, -2, -2/5
Determine p so that 38*p**4 - 34*p**4 - 287*p + 392 - 189*p + 36*p**2 + 44*p**3 = 0.
-7, 1, 2
Factor 25/2*d**2 + 27/2 + 53/2*d - 1/2*d**3.
-(d - 27)*(d + 1)**2/2
Let w(o) be the second derivative of -53/28*o**4 