+ 4*j**2 - j. Find n such that m(n) = 0.
-279, -1/3
Let i(l) be the third derivative of l**8/336 - l**7/70 - l**6/40 + 7*l**5/60 + l**4/4 + 9*l**2 - 6. Determine r, given that i(r) = 0.
-1, 0, 2, 3
Let f = 31675/9 + -3519. Find m, given that -2/9*m - f*m**2 + 4/9 + 2/9*m**3 = 0.
-1, 1, 2
Factor 0 - 91/6*z**3 - 49/6*z**4 - 17/2*z**2 - 3/2*z.
-z*(z + 1)*(7*z + 3)**2/6
Let k = 57 - 51. Let p(n) = 10*n**4 - 16*n**3 + 30*n**2 - 24*n + 14. Let b(v) = 2*v**4 - 3*v**3 + 6*v**2 - 5*v + 3. Let r(w) = k*p(w) - 28*b(w). Factor r(q).
4*q*(q - 1)**3
Suppose 7*g - 2 = 6*g. Let c = 11 - 9. Suppose -13*b**2 - c*b**4 - 4 + 3*b**g - 10*b**3 - 8*b**2 - 14*b = 0. What is b?
-2, -1
Suppose 2*o + 2 = 12. Suppose 5*p - 3 = 3*b, 0 = -o*p - 6*b + b - 5. Let 3*a**2 + p*a**2 - 6*a - 5*a**2 - 4 + 0 = 0. What is a?
-2, -1
Let r(o) be the second derivative of -o**6/90 - o**5/5 - 4*o**4/3 - 32*o**3/9 - 156*o - 1. Let r(w) = 0. What is w?
-4, 0
Let d(z) be the first derivative of -11 + 0*z + 3/2*z**4 + 0*z**2 - 1/5*z**5 + 0*z**3. Solve d(s) = 0.
0, 6
Let q(w) be the third derivative of w**5/420 - w**4/28 + 3*w**3/14 + 18*w**2. Find j, given that q(j) = 0.
3
Let y(u) = u**2 + 8*u + 3. Suppose 2*h + 11 = -3. Let i be y(h). Let g(j) = 5*j**2 - j + 11. Let p(b) = -2*b**2 - 4. Let r(c) = i*g(c) - 11*p(c). Factor r(o).
2*o*(o + 2)
Let s(t) be the third derivative of t**5/120 - t**4/2 - 13*t**3/3 + t**2 - 206*t. Suppose s(y) = 0. What is y?
-2, 26
Factor -4/3*k**3 + 0 - 8*k + 50/3*k**2.
-2*k*(k - 12)*(2*k - 1)/3
Let b be 3*13 - (-2 + 5). Suppose -11 = 5*g - b. Factor 2*y**4 + y**5 - 2*y**2 + 5*y**3 - y + 0*y**5 - g*y**3.
y*(y - 1)*(y + 1)**3
Suppose 0 = 3*b - 2*m - 2, -3*b - m + 10 = 2. Let n(k) be the first derivative of b*k**3 - 1/2*k**6 + 0*k**2 - 15/4*k**4 + 0*k + 12/5*k**5 - 4. Factor n(v).
-3*v**2*(v - 2)*(v - 1)**2
Let n(f) = -8*f + 1. Let w be n(-1). Factor -8*j - 7*j**2 - 6*j**2 + w*j**2.
-4*j*(j + 2)
Suppose -12*a - 51/4*a**2 - 3/4*a**3 + 0 = 0. What is a?
-16, -1, 0
Let b = 681 - 678. Let v(i) be the second derivative of 0*i**2 + 0 + b*i + 0*i**3 + 1/20*i**5 - 1/12*i**4. Factor v(g).
g**2*(g - 1)
Let k = 9015 - 9015. Factor k - 2/3*a - 1/3*a**3 + a**2.
-a*(a - 2)*(a - 1)/3
Let o(d) = 3*d**2 - 55*d + 208. Let z be o(13). Factor 1/7*h**3 - 2/7*h + 1/7*h**2 + z.
h*(h - 1)*(h + 2)/7
Let u(k) = 256*k**2 - 264. Let n(b) = b**3 - 257*b**2 - b + 263. Let s(f) = 4*n(f) + 3*u(f). Solve s(g) = 0 for g.
-1, 1, 65
Suppose 5*t - c - 18 = 0, 5*c = -9*t + 4*t. Factor 48*z**2 + 2*z**t - 82*z**2 + 38*z**2.
2*z**2*(z + 2)
Let h(d) be the third derivative of d**4/12 - d**3/3 - 4*d**2. Let r be h(4). Let 0*z**5 - 3*z**5 + 3*z**3 - 3*z**3 + r*z**2 - 6*z**4 + 3*z**3 = 0. Calculate z.
-2, -1, 0, 1
Let p be (3/21 + (1 - -1))*3. Let h = p - 211/35. Solve 2/5 - 2/5*b + 2/5*b**3 - h*b**2 = 0.
-1, 1
Let a(u) be the second derivative of -u**6/120 - u**5/20 - u**4/8 + 5*u**3/3 - 13*u. Let f(q) be the second derivative of a(q). Find z, given that f(z) = 0.
-1
Let q be (6/(-15)*1)/(1560/(-600)). Factor -q*s**4 + 0*s + 2/13*s**3 + 0*s**2 + 0.
-2*s**3*(s - 1)/13
Solve -5/9*n**5 - 1/3*n + 8/9*n**3 + 14/9*n**4 - 14/9*n**2 + 0 = 0 for n.
-1, -1/5, 0, 1, 3
Let v be ((-118)/(-18)*-3)/(-41). Let c = v + -6/41. Factor -l**2 + 0 + 2/3*l + c*l**3.
l*(l - 2)*(l - 1)/3
Let k(t) be the second derivative of 5*t**4/48 - 20*t**3/3 + 155*t**2/8 + 13*t + 2. Let k(i) = 0. What is i?
1, 31
Let n = -221/7 - -223/7. Factor 0*h + 2/7*h**2 - n.
2*(h - 1)*(h + 1)/7
Factor 180*q**3 - 262440000 + 5832000*q - 48600*q**2 - 1/4*q**4.
-(q - 180)**4/4
Let l be 2 + (-17814)/1020 - 3/(-3). Let h = l + 147/10. Find j, given that -2/17*j**3 - 2/17*j + h*j**2 + 0 = 0.
0, 1
Let s(c) be the third derivative of -c**5/5 + 13*c**4/8 - 3*c**3/2 + 3*c**2 + 13*c. Factor s(o).
-3*(o - 3)*(4*o - 1)
Let d(p) be the first derivative of p**5/12 + 5*p**4/24 - 5*p**3 + 23*p**2/2 - 30. Let v(i) be the second derivative of d(i). Factor v(j).
5*(j - 2)*(j + 3)
Let d(f) = -4*f**2 + 45*f + 154. Let b be d(14). Suppose 0*h + b - 4/5*h**3 - 8/5*h**2 = 0. Calculate h.
-2, 0
Let p be ((0/3)/(4/4))/1. Suppose -5*i = -p - 0. Factor -3/4*j**2 + 0 + i*j.
-3*j**2/4
Let v = -10 + 10. Let i(a) = -3*a + 17. Let j be i(5). Factor -j*p**2 - 3*p**3 + v*p**2 - p**2.
-3*p**2*(p + 1)
Let f(b) be the second derivative of b**5/150 - 6*b**2 + 9*b. Let q(k) be the first derivative of f(k). Factor q(g).
2*g**2/5
Let k(o) = 7*o**2 - 20*o - 72. Let p(b) = 5*b**2 - 19*b - 70. Let g(w) = -3*k(w) + 4*p(w). Factor g(u).
-(u + 8)**2
Let u(v) = 78 - 10*v**2 - 30 + 40*v + 8*v**2 + 6*v. Let p be u(24). Factor 4/11*x**3 + 2/11*x**2 + 2/11*x**4 + 0 + p*x.
2*x**2*(x + 1)**2/11
Suppose s - 5*s + 7*t = 3*t, 0*t = -19*t. Suppose 0*m = m. Factor s + m*u + 0*u**3 + 2/5*u**4 - 2/5*u**2.
2*u**2*(u - 1)*(u + 1)/5
Suppose -j + 6*j - 5*c = 20, 1 = j + 2*c. Factor -12*m - 18 + 6*m**2 + 12*m - j*m**2 + 15*m.
3*(m - 1)*(m + 6)
Let n(c) be the third derivative of -c**7/735 - 2*c**6/15 - 121*c**5/35 + 58*c**4/3 - 841*c**3/21 - 40*c**2. Let n(j) = 0. What is j?
-29, 1
Factor 3 - 1/2*l**3 + 11/2*l + 2*l**2.
-(l - 6)*(l + 1)**2/2
Factor 2*r**2 - 299 + r**2 - 5*r**2 - 286 + 26*r + 505.
-2*(r - 8)*(r - 5)
Factor 18/17 + 2/17*v**2 - 20/17*v.
2*(v - 9)*(v - 1)/17
Let f(h) = -42*h**4 + 150*h**3 + 468*h**2 + 318*h + 33. Let v(b) = b**4 + b**3 - b**2 - b + 1. Let n(p) = f(p) + 9*v(p). Solve n(c) = 0.
-1, -2/11, 7
Let s = -12 + 1. Let u(z) = -z**2 - 18*z - 15. Let j be u(s). Determine q, given that -16*q**2 + j*q**4 - 4*q - 20*q**2 - 8*q**4 + 20*q - 2 = 0.
-1, 1/3
Determine n so that 24 + 14/3*n**2 + 20*n + 1/3*n**3 = 0.
-6, -2
Suppose 4*t = -5*m - 13, 7*t = 12*t + 5*m + 10. Let f(o) be the second derivative of 0 - 1/24*o**4 - 4*o - 1/12*o**t + 0*o**2. Factor f(n).
-n*(n + 1)/2
Let t(z) be the first derivative of z**4/10 + 16*z**3/3 + 80*z**2 - 194. Determine o so that t(o) = 0.
-20, 0
Let f(g) be the second derivative of g**6/48 - g**5/60 - 45*g**2/2 - 33*g. Let q(b) be the first derivative of f(b). Let q(u) = 0. Calculate u.
0, 2/5
Let y(m) be the third derivative of -m**7/105 - m**6/15 + 4*m**4/3 + 16*m**3/3 + 11*m**2 + 3*m. Factor y(t).
-2*(t - 2)*(t + 2)**3
Find c, given that 2*c**3 + 1514*c**2 - 125 - 1509*c**2 - 25*c - c**3 = 0.
-5, 5
Suppose 3*s**2 - 302*s + s**2 - s**2 - 36 + 269*s = 0. What is s?
-1, 12
Let b(l) = -l**2 - l - 1. Suppose -25*w = -24*w - 6. Let j(y) = 8*y**2 + 10*y. Let p(a) = w*b(a) + j(a). Factor p(n).
2*(n - 1)*(n + 3)
Suppose 158 = -13*v + 223. Let y - 1/5*y**3 - 11/5*y**4 + 13/5*y**2 - 4/5*y**v - 2/5 = 0. What is y?
-2, -1, 1/4, 1
Let c(a) be the second derivative of -13*a + 0*a**2 + 2/3*a**3 + 0 + 1/3*a**4. Suppose c(q) = 0. Calculate q.
-1, 0
Factor 2 + 0*i**2 - 1/6*i**3 + 13/6*i.
-(i - 4)*(i + 1)*(i + 3)/6
Let c(j) be the second derivative of -j**4/18 + 2*j**3/9 + j**2 + j + 11. Factor c(k).
-2*(k - 3)*(k + 1)/3
Let y = -47 + 106. Suppose 57*n - y*n = -6. Factor -4/7 - 4/7*r + 4/7*r**2 + 4/7*r**n.
4*(r - 1)*(r + 1)**2/7
Factor -32/3 + 2*k**2 + 44/3*k.
2*(k + 8)*(3*k - 2)/3
Let t(q) = q. Let l(b) = -3*b**2 - 18*b - 12. Suppose -3*o - 8*s - 23 = -3*s, 4*s = 3*o + 14. Let i(c) = o*t(c) - l(c). Factor i(a).
3*(a + 2)**2
Let z = -186 + 339. Let m be (z/(-26))/(-9) - 2/13. Solve -m*c**4 + 0 + 0*c**2 + 1/4*c**3 + 1/4*c**5 + 0*c = 0.
0, 1
Factor -116*w**2 + 219*w + 37*w + 77*w**2 + 252 + 43*w**2.
4*(w + 1)*(w + 63)
Let k(c) be the first derivative of c**6/18 + 4*c**5/15 - 7*c**4/6 - 56*c**3/9 - 59*c**2/6 - 20*c/3 - 110. What is z in k(z) = 0?
-5, -1, 4
Let p(q) = 6*q**2 + 14*q. Let c(n) = -5*n**2 - 13*n - 2. Let t(u) = -4*c(u) - 3*p(u). Solve t(k) = 0 for k.
-4, -1
Determine v, given that 0*v + 0*v**3 - 3/5*v**2 + 3/5*v**4 + 0 = 0.
-1, 0, 1
Suppose 0 = -5*i - 3 - 17. Let d be (i/3)/(40/(-90)). Solve 1/2*n**4 - 1/2*n**2 + 1/2*n**d + 0 - 1/2*n = 0.
-1, 0, 1
Let f = 16/783 + 2317/1566. Find t, given that -3/2*t**5 + 1/3*t**4 + f*t**3 - 1/3*t**2 + 0*t + 0 = 0.
-1, 0, 2/9, 1
Let i(z) be the third derivative of -17*z**2 + 1/1176*z**8 + 1/105*z**6 + 0 + 0*z + 0*z**3 + 2/245*z**7 - 1/35*z**5 - 5/84*z**4. Let i(x) = 0. What is x?
-5, -1, 0, 1
What is z in 46/7*z**3 + 2/7*z**4 - 46/7*z - 12 + 82/7*z**2 = 0?
-21, -2, -1, 1
Let j(d) be the first derivative of -1/6*d**2 + 0*d + 0*d**3 + 1/12*d**4 - 28. Le