*3.
p**2*(9*p + 2)
Let x(z) = 2*z**3 + 68*z**2 - 149*z + 5. Let i(w) = 2*w**3 + 68*w**2 - 148*w + 4. Let b(y) = -5*i(y) + 4*x(y). Let b(u) = 0. What is u?
-36, 0, 2
Let p = 29 - 20. Let p*w**2 + 0*w**2 + 14*w - 7*w**2 - 16 = 0. What is w?
-8, 1
Let m(z) = -2*z**3 + 10*z**2 - 2*z + 6. Let v(b) be the third derivative of b**5/60 + b**4/24 + b**3/6 + 32*b**2. Let t(l) = m(l) - 4*v(l). Factor t(i).
-2*(i - 1)**3
Let u(w) be the third derivative of -w**5/80 + 3*w**4/32 + 5*w**3/4 + 4*w**2 + 44*w. What is j in u(j) = 0?
-2, 5
Suppose -36 + 11 = -4*u + g, 4*g + 30 = 2*u. Find k such that -19*k**5 - 12*k**4 + 56*k**u + 8*k**3 - 16*k**5 - 17*k**5 = 0.
0, 1, 2
Suppose 7*s = 2*s - 5*j + 25, 3*j + 3 = 3*s. Determine q so that -13 + 5 - 19*q - 5*q + 14*q**s + 18*q**2 = 0.
-2, -2/7, 1
Let u = -4979/3 + 4990/3. Let -1/3*i**3 + u*i + 4/3*i**2 + 2 = 0. Calculate i.
-1, 6
Let 129*g**3 + g**4 + 118*g**3 - 4*g**2 - 242*g**3 + 0*g**4 - 20*g = 0. What is g?
-5, -2, 0, 2
Suppose 2*x = -2*x. Suppose 6 + x = v. Factor -4*w**3 - 2*w**2 + 2*w**4 - 7*w + v*w + 4*w**3 + w**5.
w*(w - 1)*(w + 1)**3
Suppose -27 - 11*c + 9327*c**2 - 9301*c**2 + 10*c**3 - 69 - 33*c = 0. What is c?
-3, -8/5, 2
Let c(w) be the second derivative of 1/90*w**6 - 4/3*w**3 + 8/3*w**2 + 1/36*w**4 + 0 + 1/10*w**5 + 36*w. Solve c(d) = 0.
-4, 1
Let d be 3 - (3/15 - (-802)/240). Let x = 7/8 + d. Factor x*u**2 - 2/3 - 1/3*u.
(u - 2)*(u + 1)/3
What is z in -57/7*z**4 - 727/7*z**2 + 839/7*z**3 + 112 + 1/7*z**5 - 120*z = 0?
-1, 1, 28
Let v be 9/21 - 1111/2772. Let b(t) be the second derivative of v*t**4 + 0 + 0*t**2 + 0*t**3 - 5*t. Find a, given that b(a) = 0.
0
Let u(t) = -13*t**2 - 21*t + 3. Let b be 1/2*126/9. Suppose 4 - 46 = b*j. Let d(s) = 7*s**2 + 11*s - 2. Let o(i) = j*u(i) - 11*d(i). Factor o(n).
(n + 1)*(n + 4)
Let s(u) = -45*u**2 + 435*u + 1160. Let m(c) = 5*c**2 - 48*c - 129. Let h(q) = -55*m(q) - 6*s(q). Solve h(i) = 0.
-3, 9
Let h(k) be the third derivative of k**7/210 - 3*k**6/8 + 45*k**5/4 - 1125*k**4/8 - 472*k**2. Determine z, given that h(z) = 0.
0, 15
Factor 0 - 4*l - 1/2*l**3 + 1/2*l**4 - 5*l**2.
l*(l - 4)*(l + 1)*(l + 2)/2
Let r be (-1)/4*((5 - 18) + 5). Let s(u) be the first derivative of -2 + 18/7*u + 2/21*u**3 + 6/7*u**r. What is o in s(o) = 0?
-3
Suppose 224 = 23*c - 9*c. Let p be (15/(-12) + -2)/((-12)/c). Find h, given that -1 - h**3 - p*h - 13/3*h**2 = 0.
-3, -1, -1/3
Let h(p) be the third derivative of 5*p**8/168 - 4*p**7/15 + 4*p**6/5 - 8*p**5/15 - 4*p**4/3 + 93*p**2. Find x, given that h(x) = 0.
-2/5, 0, 2
Factor 3*l**3 + 23*l**2 + 61*l**2 + 4*l**3 - 4*l**3 + 96*l**2.
3*l**2*(l + 60)
Let m(i) be the second derivative of 21*i**5/80 + 61*i**4/16 - 11*i**3 + 15*i**2/2 - i + 8. Factor m(c).
3*(c - 1)*(c + 10)*(7*c - 2)/4
Let p(g) be the third derivative of -g**8/84 + 32*g**7/105 - 29*g**6/30 + 14*g**5/15 + 204*g**2. Find z such that p(z) = 0.
0, 1, 14
Let a be (-24)/792 - 90/(-66). Find x such that -a*x**3 - 16/3 + 4/3*x**2 + 16/3*x = 0.
-2, 1, 2
Factor -60 - 2434*v**2 - v**3 + 6*v**3 + 100*v + 2389*v**2.
5*(v - 6)*(v - 2)*(v - 1)
Let l(u) be the first derivative of -2 - 207/16*u**2 - 81/4*u + 13/6*u**3 - 3/32*u**4. Factor l(c).
-(c - 9)**2*(3*c + 2)/8
Suppose 0 = o - 3*l + 3, 4*l + 29 = 6*o - o. Let g be -4 - ((-2)/6)/(o/117). Let -1/2*r**3 + 2/3*r + 0 + 1/6*r**5 - 2/3*r**2 + g*r**4 = 0. What is r?
-2, 0, 1
Let c(u) = 23*u + 26. Let b be c(-1). Let t(n) be the second derivative of 0*n**4 - 1/165*n**6 - 4*n + 0*n**5 + 0*n**2 + 0 + 0*n**b. Let t(h) = 0. Calculate h.
0
Let n be (8/32)/(1/212) + 2. Let r be (176/n)/(14/5). Factor 4/7*v**2 + 0 + r*v.
4*v*(v + 2)/7
Let s(l) = -l**3 - l - 1. Let h(k) = -10*k**3 + 35*k**2 - 60*k + 20. Let w = -33 - -38. Let c(r) = w*s(r) - h(r). Find y, given that c(y) = 0.
1, 5
Let f(n) = 8*n**4 - 8*n**3 + 4*n**2 + 2*n. Let a(u) = 24*u**4 - 26*u**3 + 12*u**2 + 6*u. Let v(p) = -3*a(p) + 8*f(p). Suppose v(d) = 0. Calculate d.
-1/4, 0, 1
Let q(f) = -7*f**2 + 263*f + 116. Let w be q(38). Determine h, given that -2/21*h**w - 24/7 - 8/7*h = 0.
-6
Let o = 29 - 29. Suppose o = -3*h + 12, 32 = 4*d - 0*d + 3*h. What is z in d + 1 + 6*z**5 + 69*z**3 + 69*z**2 + 42*z + 0 - 9*z + 33*z**4 = 0?
-2, -1, -1/2
Let n = 92 + -73. Suppose -3*k = -0*u - 5*u + n, -2*k - 5*u = -29. Solve -2/3*l**3 + 0*l**k + 0 + 0*l = 0 for l.
0
Let a(t) = t**3 + 15*t**2 + 13*t - 10. Let c be a(-14). Determine y, given that -29*y**c + 15*y**4 + 13*y**4 - 1 + 4*y - 8*y**2 + 4*y**3 + 2*y**2 = 0.
1
Let k = 14 - -1. Solve k*h**4 + 2*h**3 - 4*h**2 + 4*h**3 + 0*h**2 - 6*h - 11*h**2 = 0.
-1, -2/5, 0, 1
Let z = -3868 + 27078/7. Determine s, given that 1/7*s**3 + 0*s + z*s**2 - 2/7*s**4 + 0 - 1/7*s**5 = 0.
-2, -1, 0, 1
Let r(b) be the second derivative of 1/18*b**3 - 1/12*b**5 + b + 0 + 0*b**2 + 1/9*b**4. Factor r(g).
-g*(g - 1)*(5*g + 1)/3
Determine v, given that 1/4*v**4 + v + 0 - 3/4*v**3 + 0*v**2 = 0.
-1, 0, 2
Let g = -18279 + 18282. Factor 0 + 16/3*s - 2/3*s**g + 4/3*s**2.
-2*s*(s - 4)*(s + 2)/3
Let f(g) be the third derivative of -27/20*g**3 - 1/600*g**5 + 21*g**2 + 0 - 3/40*g**4 + 0*g. Suppose f(b) = 0. What is b?
-9
Factor -b**2 - 5/9*b**3 + 4 + 20/9*b.
-(b - 2)*(b + 2)*(5*b + 9)/9
Let k(f) be the first derivative of -28/3*f**3 - 24*f + 34*f**2 - 23. Suppose k(j) = 0. Calculate j.
3/7, 2
Let g(c) be the first derivative of c**6/3 - 14*c**5/5 - c**4 + 92*c**3/3 + 65*c**2 + 50*c + 760. Factor g(y).
2*(y - 5)**2*(y + 1)**3
Factor 2/13*g**2 - 18/13*g - 72/13.
2*(g - 12)*(g + 3)/13
Determine q so that 61*q - 33*q - 195*q - 193*q - 4*q**2 = 0.
-90, 0
Let u be -11 + 15 - (-11 + 0). Let o = u - 11. Find n, given that -n + 2*n**2 + 5 + o*n - 4 = 0.
-1, -1/2
Let j(l) be the second derivative of -l**6/10 - 9*l**5/20 + 6*l**4 - 14*l**3 - l + 398. Factor j(b).
-3*b*(b - 2)**2*(b + 7)
Let s(v) = 73*v**3 - 1485*v**2 + 11532*v - 29794. Let h(k) = 3*k**3 + k**2 - 1. Let y(j) = 12*h(j) - 4*s(j). Factor y(t).
-4*(4*t - 31)**3
Let s be ((-267 - -6)/(-9))/3 - 9. Factor -s - 1/3*g + 1/3*g**2.
(g - 2)*(g + 1)/3
Let n(m) be the second derivative of m**7/2520 - 7*m**6/720 - m**5/15 - 31*m**4/12 + 35*m. Let c(g) be the third derivative of n(g). Factor c(d).
(d - 8)*(d + 1)
Let s(o) = o**4 - 4*o**2 + 3. Let f = -158 + 191. Let u(y) = 5*y**4 - 21*y**2 + 16. Let i(a) = f*s(a) - 6*u(a). Solve i(g) = 0 for g.
-1, 1
Let w be 1/4 + 120/96. Let i(v) be the first derivative of 0*v - 3/4*v**4 + w*v**2 + 0*v**3 + 6. Solve i(z) = 0.
-1, 0, 1
Factor 26/9 - 70/3*q + 16/9*q**2.
2*(q - 13)*(8*q - 1)/9
Let c be (315 - (-12)/(-3))/((-4)/2). Let o = -154 - c. Let 0 - o*k**2 + k = 0. What is k?
0, 2/3
Let d(z) = -3*z**3 + 9*z**2 + 6*z. Let f(i) = -17*i**3 + 47*i**2 + 31*i. Let o(c) = 11*d(c) - 2*f(c). Find r, given that o(r) = 0.
-4, -1, 0
Let w(o) be the third derivative of o**8/1008 - o**7/90 + o**6/20 - 11*o**5/90 + 13*o**4/72 - o**3/6 + 10*o**2 + 2*o. Factor w(v).
(v - 3)*(v - 1)**4/3
Let t(l) be the first derivative of -4/3*l**3 - 1 - 4*l**2 + 0*l. Determine k so that t(k) = 0.
-2, 0
Let w(a) be the third derivative of 0*a**3 - 22*a**2 + 1/15*a**6 + 0 - 1/42*a**7 + 1/336*a**8 + 0*a**4 - 1/15*a**5 + 2*a. Solve w(k) = 0 for k.
0, 1, 2
Let t = -866 + 868. Let a(z) be the second derivative of 63/40*z**5 + 0 - 49/120*z**6 - 1/2*z**t - 109/48*z**4 - 9*z + 3/2*z**3. Factor a(v).
-(v - 1)**2*(7*v - 2)**2/4
Let c be (0 + 0)/(-1 - 3). Let d(a) = a**2 + 9*a. Let t be d(-9). What is w in -1/2*w**5 + c*w + 1/2*w**3 + t - 1/3*w**4 + 1/3*w**2 = 0?
-1, -2/3, 0, 1
Suppose p + 3*b - 6*b = -159, p - 5*b = -165. Let q be (-55)/p - 1/5. Factor 0 + 0*z + 1/6*z**4 - 1/6*z**3 + 1/6*z**5 - q*z**2.
z**2*(z - 1)*(z + 1)**2/6
Let m(f) be the first derivative of -f**7/168 + f**5/24 + 17*f**3/3 + 3. Let t(g) be the third derivative of m(g). Factor t(o).
-5*o*(o - 1)*(o + 1)
Let z(u) be the first derivative of -2*u + 1/15*u**4 + 2/5*u**2 + 5 - 1/3*u**3. Let k(h) be the first derivative of z(h). Let k(w) = 0. Calculate w.
1/2, 2
Suppose 11 = -3*x - 145. Let t be x/(-20) + 3/(-5). Factor 2*w - w**t - 3*w**2 + 2*w**2 + 4.
-2*(w - 2)*(w + 1)
Let 20*d**3 + 13*d + d + 70*d**2 - 35*d**5 - 60*d**4 - 10 + 0*d**3 + d = 0. What is d?
-1, 2/7, 1
Let u(t) be the first derivative of t**5/5 + 31*t**4/16 + 15*t**3/2 + 29*t**2/2 + 14*t - 199. Find r, given that u(r) = 0.
-2, -7/