60 - n**4/9 + 4*n**2. Solve z(b) = 0.
-2, 0, 1
Let d(h) be the second derivative of 8*h - 1/3*h**3 + 0 + 3/2*h**2 - 1/3*h**4 + 1/30*h**6 + 1/10*h**5. Suppose d(z) = 0. What is z?
-3, -1, 1
Suppose 441/5*b**2 - 147/5*b**3 - 36/5 + 12/5*b = 0. What is b?
-2/7, 2/7, 3
Let r(c) = -c + 17. Let u be r(14). Suppose 15*m**2 + 13 + 7*m**u - 2*m**3 - 13 = 0. What is m?
-3, 0
Let f be 131 - (-1)/(-4)*-4. Let l = 135 - f. Factor 1/4*n - 1/4*n**l + 0 + 0*n**2.
-n*(n - 1)*(n + 1)/4
Let u = 6194/9 - 117326/171. Factor -2/19*y**2 - 200/19 + u*y.
-2*(y - 10)**2/19
Solve 1944/5 - 102/5*w**2 + 756/5*w + 3/5*w**3 = 0.
-2, 18
Let c(i) = -i + i**2 + 2*i - 74 + 74. Let b(r) be the second derivative of -r**4/3 - 2*r**3/3 + r. Let l(w) = -b(w) + c(w). Factor l(d).
5*d*(d + 1)
Let f(q) be the first derivative of 10*q**3/21 - 16*q**2/7 + 6*q/7 + 696. Factor f(y).
2*(y - 3)*(5*y - 1)/7
Let -24 - 4*d**3 + 44*d - 16*d**2 + 9*d**2 - 9*d**2 = 0. What is d?
-6, 1
Let u(h) be the second derivative of 2*h**7/147 - h**6/35 - h**5/35 + 10*h - 1. Factor u(x).
2*x**3*(x - 2)*(2*x + 1)/7
Let j(n) = 2*n**3 - n**2 - 14*n + 13. Let f(v) = -2*v**3 + 2*v**2 + 14*v - 14. Let r(k) = 5*f(k) + 6*j(k). Factor r(z).
2*(z - 1)**2*(z + 4)
Suppose -4*a + 12 = 2*g, -g + a = 4*g - 30. Suppose 5*r + 5*n + 10 = 0, -n - g = -2*r + 5. Determine c so that -c - 2*c + 6*c**r + 4*c + c + 8*c**2 = 0.
-1, -1/3, 0
Let m(u) be the first derivative of -20 + 35/4*u**2 + 5/6*u**3 + 25*u. Solve m(z) = 0 for z.
-5, -2
Let u(w) be the second derivative of -2*w**6/45 + 11*w**5/15 - 77*w**4/36 + 23*w**3/9 - 3*w**2/2 + 4*w + 18. Determine t, given that u(t) = 0.
1/2, 1, 9
Let a = 7331/2 + -3664. Suppose 3/8*r**3 + 3/8*r**4 - 9/4*r**2 + 3 - a*r = 0. Calculate r.
-2, 1, 2
Let 41*b + 3*b**5 - 29*b - 9*b**3 + 3*b**4 - 12*b**2 + 3*b**4 = 0. Calculate b.
-2, 0, 1
Let y(l) be the third derivative of 3/4*l**3 + 0 - 1/10*l**5 + 14*l**2 + 0*l - 11/16*l**4. Factor y(v).
-3*(v + 3)*(4*v - 1)/2
Suppose -4*h + h = -3. Let y(x) = 5*x**3 - x**2 - x + 1. Let u be y(h). Factor -6*t**4 + 2*t**3 + 3*t**u - 4*t**3 + t**4.
-2*t**3*(t + 1)
Let q(i) = i - 1. Let x(t) = -t**3 - t**2 - 6*t + 8. Suppose -5 = v - 2*v. Let g(z) = v*x(z) + 40*q(z). Solve g(c) = 0.
-2, 0, 1
Let d(i) be the second derivative of 2/5*i**6 + 3/4*i**5 + 1/2*i**4 + 9*i + 0*i**3 + 0*i**2 + 1 + 1/14*i**7. Factor d(n).
3*n**2*(n + 1)**2*(n + 2)
Let u(z) be the second derivative of -2*z**5/25 + z**4/5 + 22*z**3/15 - 12*z**2/5 + 3*z + 21. What is c in u(c) = 0?
-2, 1/2, 3
Suppose 29*y - 16 = 25*y. Let q be 10/y*(-12)/(-40). Factor 3/4*c**3 - 3/4*c**2 + 3/4*c**4 - q*c**5 + 0*c + 0.
-3*c**2*(c - 1)**2*(c + 1)/4
Find x, given that 1/2*x**5 - 2*x**3 + 3/2*x + 1 - x**2 + 0*x**4 = 0.
-1, 1, 2
Let m(r) be the second derivative of 5/12*r**4 + 1/42*r**7 + 0*r**2 - 3/20*r**5 - 1/30*r**6 - 1/3*r**3 + 0 + 6*r. Factor m(f).
f*(f - 1)**3*(f + 2)
Let n be 13 + -2 + -26 + 21. Let y(p) be the first derivative of 3*p - 3/2*p**4 + 3*p**2 + 0*p**3 - 3/5*p**5 - n. Factor y(d).
-3*(d - 1)*(d + 1)**3
Suppose 6*w + 5264 = 5336. Suppose 3/2*m**3 - 6*m + w - 3*m**2 = 0. What is m?
-2, 2
Suppose 3*f - 1148 = 847. Let k be 4/6 - f/(-15). Let -7*q**2 + 1/3 - 108*q**5 + k*q**3 + 72*q**4 - 7/3*q = 0. Calculate q.
-1/3, 1/6, 1
Let b(d) be the third derivative of -d**7/140 + 11*d**5/40 + 9*d**4/8 + 2*d**3 - d**2 + 13*d. Solve b(h) = 0 for h.
-2, -1, 4
Let d(c) = -21*c**3 - 51*c**2 + 24*c + 72. Let p(k) = k**3 + k**2 + k. Let h(n) = -d(n) - 18*p(n). Suppose h(o) = 0. Calculate o.
-12, -1, 2
Let u(d) = d**2 - d + 1. Let z(h) = 5*h**2 - 7*h - 13. Let i(g) = 3*u(g) - z(g). Factor i(k).
-2*(k - 4)*(k + 2)
Let b(t) be the first derivative of -2*t**6/3 + 48*t**5/5 - 36*t**4 + 128*t**3/3 - 439. Suppose b(k) = 0. What is k?
0, 2, 8
Suppose -12/5*s**2 - 16/5 + 4/5*s**4 + 32/5*s - 8/5*s**3 = 0. Calculate s.
-2, 1, 2
Let h(l) be the second derivative of l**5/170 - 15*l**4/34 + 176*l**3/17 - 484*l**2/17 - 153*l + 2. Factor h(j).
2*(j - 22)**2*(j - 1)/17
Let x(b) = -b**2 - 13*b + 18. Let z(w) = -w**2 - w. Let p(a) = -x(a) - 2*z(a). Factor p(m).
3*(m - 1)*(m + 6)
Let b(r) = -r - 1. Let q(y) = -y**3 - 3*y**2 + y + 9. Let h(n) = -15*b(n) + 5*q(n). Solve h(k) = 0.
-3, -2, 2
Let q(v) be the first derivative of 20 + 4/45*v**5 - 4/9*v**3 - 1/9*v**4 + 10/9*v**2 - 8/9*v. Factor q(i).
4*(i - 1)**3*(i + 2)/9
Let b(w) be the second derivative of 0 + 0*w**4 - 1/40*w**5 + 0*w**2 + 1/12*w**3 - 13*w. Factor b(x).
-x*(x - 1)*(x + 1)/2
Let u be (-74)/(-38) - (-80)/1520. Factor -1/7*j**4 + 0 + 3/7*j**u + 0*j**3 - 2/7*j.
-j*(j - 1)**2*(j + 2)/7
Factor 18*h - 51*h**2 + 13*h + 16*h - 32*h + 9*h.
-3*h*(17*h - 8)
Factor 261*m**2 + 3*m + 2*m - 256*m**2.
5*m*(m + 1)
Let 1015/2*j - 15/2*j**2 - 335 = 0. Calculate j.
2/3, 67
Suppose 26*u = -157 + 235. Factor 0*x + 0 + x**2 - 1/3*x**5 + 5/3*x**u + 1/3*x**4.
-x**2*(x - 3)*(x + 1)**2/3
Let u = 138 - -56. Let r = 197 - u. Suppose 4/13*g + 8/13*g**2 - 4/13*g**r - 2/13*g**4 - 6/13 = 0. Calculate g.
-3, -1, 1
Let c be 466 - 459 - -10*4/(-6). Factor c + 1/9*o**2 + 4/9*o.
(o + 1)*(o + 3)/9
Let q(s) = s - 6. Let d be q(5). Let a = d - -5. Suppose -5*x + 1 + 5*x - a*x**2 + 3 = 0. Calculate x.
-1, 1
Suppose 3*q - 30 + 9 = -2*u, 2*q = -5*u + 25. Factor 4*y**u + 42*y - 84*y + 42*y - 4*y**2.
4*y**2*(y - 1)
Let b be (-2)/(48/10 - 5). Factor -8*d - 8*d**2 + d**3 + 0*d**2 + b*d**2.
d*(d - 2)*(d + 4)
Let x(m) = -4*m**3 - 53*m**2 - 58*m + 115. Let o(p) = 2*p**3 + 27*p**2 + 28*p - 57. Let l(v) = 5*o(v) + 3*x(v). Suppose l(c) = 0. Calculate c.
-10, -3, 1
Let h(w) be the third derivative of -w**9/19656 - w**8/10920 - 4*w**3 - 18*w**2. Let b(l) be the first derivative of h(l). Factor b(f).
-2*f**4*(f + 1)/13
Suppose -8 = -u + 4*q, 5*u + 1 = 5*q + 11. Let h = 27/50 - -3/50. Factor -h*p**2 + 1/5*p**3 + 2/5*p + u.
p*(p - 2)*(p - 1)/5
Suppose 49*z**2 + 4*z**3 + 12 + 63*z**2 - 28*z**2 + 152*z - 12 = 0. What is z?
-19, -2, 0
Solve 287 - 295 - 3*d + 8*d - d**2 + d = 0.
2, 4
Let r(i) be the third derivative of -5*i**8/336 + i**6/6 - i**5/6 - 5*i**4/8 + 5*i**3/3 - 70*i**2. Suppose r(l) = 0. What is l?
-2, -1, 1
Let k(u) = 3*u**2 + u + 3. Let s be k(0). Let h(d) = 2*d**3 + 2*d**2 + 8*d - 8. Let o(p) = -p**3 - 2*p**2 - 8*p + 8. Let l(x) = s*h(x) + 4*o(x). Solve l(i) = 0.
-2, 1, 2
Factor -1/3*o**4 - 19*o**2 - 50/3 + 13/3*o**3 + 95/3*o.
-(o - 5)**2*(o - 2)*(o - 1)/3
Let o(l) be the second derivative of l**6/360 - l**5/24 + l**4/4 - 2*l**3 - l**2/2 - 11*l. Let x(t) be the second derivative of o(t). Factor x(q).
(q - 3)*(q - 2)
Let i(x) be the first derivative of -6 + 0*x**2 - 32/7*x + 2/7*x**3 + 1/28*x**4. Factor i(l).
(l - 2)*(l + 4)**2/7
Let h(g) = 3 - 4*g**2 - 18*g + 5*g**2 - 43. Let z be h(20). Factor 0 + 1/4*w**5 + 0*w**4 + 0*w - 1/4*w**3 + z*w**2.
w**3*(w - 1)*(w + 1)/4
Let j(y) be the first derivative of -5*y**4/4 - 85*y**3/3 + 185*y**2/2 - 95*y - 82. Solve j(l) = 0.
-19, 1
Suppose -209 + 205 = 2*y. Let b be 320/140 + (y - 0). What is k in -6/7*k - 4/7*k**2 - b = 0?
-1, -1/2
Let r be -9 + -4 + -2 + 3. Let w be 15/(-36) + r/(-16). Solve -1/3 + 2/3*i - w*i**2 = 0 for i.
1
Let p = -3 - -4. Suppose t - p = 5. Factor t*b**3 - b**3 + b**2 - 6*b**3.
-b**2*(b - 1)
Let b(n) be the third derivative of 3*n**5/40 - 13*n**4/12 - n**3 + 38*n**2. Factor b(p).
(p - 6)*(9*p + 2)/2
Let v(l) = 5 - 4 + 0 - l + 0*l. Let d(r) = -2*r**2 + 5*r - 5. Let q(u) = -d(u) - 5*v(u). Find j, given that q(j) = 0.
0
Let i(b) be the first derivative of -b**4/8 + 4*b**3 - 165*b**2/4 + 121*b + 5. Let i(v) = 0. Calculate v.
2, 11
Let v(m) be the second derivative of m**4/20 + m**3/2 - 9*m**2/5 - 123*m. Let v(o) = 0. What is o?
-6, 1
Let c(h) = -5*h**2 + 92*h - 33. Let o be c(18). Factor 1/4*w**o + 4 + 6*w + 9/4*w**2.
(w + 1)*(w + 4)**2/4
Let p(u) be the first derivative of 45 - 2/33*u**3 - 22*u - 2*u**2. Factor p(j).
-2*(j + 11)**2/11
Let u(o) be the third derivative of o**8/168 - 2*o**7/35 + 13*o**6/60 - 2*o**5/5 + o**4/3 - 143*o**2. Find l, given that u(l) = 0.
0, 1, 2
Determine w so that 2/7*w**2 + 66978/7 + 732/7*w = 0.
-183
Suppose -12*h - 3*o = 15*h - 132, 4*h = -2*o + 32. Solve 3/2*f**3 + 0 + 1/2*f**h + 1/2*f + 3/2*f**2 = 0.
-1, 0
Let s(i) = 25*i**2 - 3*i + 2. Let q be s(1). Let h be q/21 + (-8)/28. Suppose 0*n + 0 + h*n**4 - 6/7*n**2 - 3/7*n**3 + 3/7*n**5 =