that f(j) = 0.
-3, 0, 1
Let a(l) be the third derivative of -l**7/280 - l**6/40 + 68*l**2. Factor a(p).
-3*p**3*(p + 4)/4
Find h, given that -1/4*h**2 + 0*h + h**3 + 0 = 0.
0, 1/4
Factor 0*o - 1/3*o**3 + 0 - 47/3*o**2.
-o**2*(o + 47)/3
Let a(p) = -2*p**3 + 2*p**2 + p - 1. Let m be a(-2). Let c = -19 + m. Determine u so that -c*u**2 + 3*u**2 + 6*u**3 - 7*u**3 = 0.
0, 1
Let 2*r**3 + 125*r**2 - 40*r**3 + 3*r**4 - 16*r**3 + 19*r**2 - 24*r**3 = 0. Calculate r.
0, 2, 24
Let u = 25 + -33. Let i(x) = -x**4 - x + 1. Let s(n) = 4*n**4 + 4*n**3 + 8*n - 8. Let w(v) = u*i(v) - s(v). Factor w(p).
4*p**3*(p - 1)
Let y = -538 - -2693/5. Let u(n) be the first derivative of -6 + 0*n - 9/4*n**4 + 6*n**2 - y*n**5 + 0*n**3. Factor u(g).
-3*g*(g - 1)*(g + 2)**2
Let p = 23 - 21. Let 3*m - 5*m**4 + 2*m - 3*m**3 + 5*m**2 + 0*m - p*m**3 = 0. What is m?
-1, 0, 1
Let -7/2*t**2 - 1 + 9/2*t = 0. What is t?
2/7, 1
Let j(v) be the second derivative of -2/21*v**2 + 11/63*v**3 + 0 + 8/105*v**5 - 4/315*v**6 - v - 1/6*v**4. Let j(z) = 0. What is z?
1/2, 1, 2
Let r be (-2 - -8)*(-34)/(-408). Find w such that 0*w**2 - r*w**3 + 0 + 3/4*w**4 + 0*w = 0.
0, 2/3
Suppose -2*y + 1 = 3*s - 8, 4*s - 12 = 4*y. Let k(m) be the second derivative of -1/4*m**4 - 3/2*m**2 + 0 + 2*m + m**s. Factor k(t).
-3*(t - 1)**2
Let q = 52 + -86. Let h = -31 - q. Suppose -1/3*o**2 + 0*o + 0 + 1/3*o**4 + 0*o**h = 0. Calculate o.
-1, 0, 1
Let q = -447737/23 + 19467. Factor q*h**2 - 2/23*h**3 + 0 + 6/23*h.
-2*h*(h - 3)*(h + 1)/23
Let j be 7*4/13 + 21/((-21)/2). Let 4/13*y**2 - 2/13*y**4 + 0*y**3 - j + 0*y = 0. What is y?
-1, 1
Let o(l) be the second derivative of -l**6/15 + 2*l**5/5 + 5*l**4/3 - 28*l**3/3 + 15*l**2 + 85*l. Solve o(v) = 0 for v.
-3, 1, 5
What is q in 3*q**5 - 220 - 24*q**2 - 9*q - 18*q**3 + 220 = 0?
-1, 0, 3
Let d be ((-15)/10)/((-1)/8). Let b = d + -3. Solve 3*n**3 - b*n**2 + 7*n - 3*n**2 + 2*n = 0.
0, 1, 3
Let n(p) be the first derivative of 6 + 12*p - 12*p**2 - 3/4*p**4 + 5*p**3. Let n(l) = 0. What is l?
1, 2
Let q(l) be the third derivative of -l**7/100 + 103*l**6/1200 - 137*l**5/600 + 49*l**4/240 + l**3/10 - l**2 + 3*l. Solve q(t) = 0.
-2/21, 1, 3
Let z be ((-112)/(-14))/(252/27). Solve -10/7*u**3 + 0*u + 0 + z*u**2 = 0 for u.
0, 3/5
Let h(z) = -39*z + 351. Let c be h(9). Factor 0*v**3 + 0*v**2 + c*v - 4*v**5 + 0 - 8/7*v**4.
-4*v**4*(7*v + 2)/7
Let i = -30 - -33. Factor -16*l - 3 + 10*l**i - 5 + 30*l**2 - 16*l**2.
2*(l - 1)*(l + 2)*(5*l + 2)
Let p be 5200/91 - 3/21. Let m be (-5 - p/(-9))*1/6. Factor 4/9*d + 0 - m*d**2.
-2*d*(d - 2)/9
Suppose 4*g = p + 16, -4 = 4*p + 40*g - 41*g. Factor 1/6*w**2 - 1/6*w**4 + 1/6*w**5 - 1/2*w**3 + p + 1/3*w.
w*(w - 2)*(w - 1)*(w + 1)**2/6
Let q = 593/12 + -295/6. Factor q*s + 3/8 - 1/8*s**2.
-(s - 3)*(s + 1)/8
Let m(k) = -k**2 - 1206*k + 121219. Let c(i) = 6*i**2 + 8442*i - 848529. Let o(n) = -4*c(n) - 27*m(n). Factor o(f).
3*(f - 201)**2
Let z = -13483/2 + 6743. Let j(g) = g**2 + g. Let h be j(0). Let 3/2*y + h - z*y**2 = 0. What is y?
0, 1
Let c be 2 - 1/((-1)/24). Find u, given that -c*u**4 + 13*u**2 + 4 - 22*u**4 + 49*u**4 + 12*u + 6*u**3 = 0.
-2, -1
Let i(o) be the first derivative of o**5/240 + 2*o**2 + 3. Let c(z) be the second derivative of i(z). Find u, given that c(u) = 0.
0
Let m(y) = -y**3 - 10*y**2 - 3*y - 14. Let s be m(-10). Solve 2*v + 8*v**3 - 6*v**3 + 12*v**2 + s - 4*v**3 - 26*v = 0 for v.
2
Let d = 35 + -33. Let 2/7*h**d + 0 - 2/7*h**4 + 0*h + 0*h**3 = 0. Calculate h.
-1, 0, 1
Let q(g) be the second derivative of -g**9/83160 - g**8/9240 - g**7/4620 + g**4/4 - 18*g. Let t(u) be the third derivative of q(u). Find n such that t(n) = 0.
-3, -1, 0
Suppose -3*v + 10 - 4 = 0. What is s in -v*s - 2*s**2 + 8*s + 6 - 2*s = 0?
-1, 3
Let x be (2 - (-100)/(-45)) + (-3454)/(-234) - 7. Factor -2/13*t**2 - x + 28/13*t.
-2*(t - 7)**2/13
Let q(x) be the third derivative of 0 + 4/3*x**3 + 1/240*x**5 + 1/720*x**6 + 8*x**2 + 0*x - 1/24*x**4. Let y(v) be the first derivative of q(v). Factor y(w).
(w - 1)*(w + 2)/2
Let v(y) be the second derivative of y**5/30 + 7*y**4/18 - 41*y**3/9 + 11*y**2 - y + 185. Let v(x) = 0. Calculate x.
-11, 1, 3
Let c = -7433/42 + 177. Let h(a) be the third derivative of c*a**4 + 4*a**2 - 1/210*a**5 + 0*a - 1/105*a**6 + 1/245*a**7 + 0 + 0*a**3. Factor h(d).
2*d*(d - 1)**2*(3*d + 2)/7
Let r(h) = h - h**2 - 4*h - 81*h**5 + 2*h + 82*h**5. Let j(d) = -15*d**5 - 10*d**4 - 5*d**3 + 30*d**2 + 30*d. Let z(w) = j(w) + 30*r(w). Factor z(k).
5*k**3*(k - 1)*(3*k + 1)
Let b(d) be the third derivative of -1/24*d**6 + 1/4*d**5 + 13*d**2 + 0*d**3 + 0*d + 0 + 0*d**4. Factor b(h).
-5*h**2*(h - 3)
Suppose 4*r - 5*r + 169 = -5*j, -2 = 2*j. Let s = -1145/7 + r. Find x such that s*x**2 - 3/7*x + 0 = 0.
0, 1
Let s(x) be the first derivative of -1/4*x + 1/4*x**2 + 0*x**3 - 1/8*x**4 - 7 + 1/20*x**5. Find k, given that s(k) = 0.
-1, 1
Let b(n) be the first derivative of n**4/22 + 2*n**3/3 - 12*n**2/11 - 20. Solve b(c) = 0 for c.
-12, 0, 1
Let d(l) be the second derivative of -l**8/1512 + l**7/945 + l**6/540 - l**5/270 + 5*l**2 + 17*l. Let f(k) be the first derivative of d(k). Factor f(h).
-2*h**2*(h - 1)**2*(h + 1)/9
Let q(u) be the third derivative of -u**7/56 + 7*u**6/120 - u**5/20 + 5*u**3/2 - 19*u**2. Let o(d) be the first derivative of q(d). Factor o(h).
-3*h*(h - 1)*(5*h - 2)
Determine y so that 6/7*y**4 - 4/7*y - 6/7*y**2 + 2/7*y**3 + 2/7*y**5 + 0 = 0.
-2, -1, 0, 1
Let r(a) be the first derivative of -2*a**5/5 - 79*a**4/2 - 3040*a**3/3 + 1600*a**2 + 330. Factor r(m).
-2*m*(m - 1)*(m + 40)**2
Let j(i) = 0*i**4 + 2*i**2 + 4*i**5 + 3*i + 34 - 4*i**4 - 35 - 5*i - 2*i**3. Let w(p) = -p**5 + p**4 + p. Let m(r) = -2*j(r) - 6*w(r). What is d in m(d) = 0?
-1, 1
Let b be 82/8 - (58 - 48). Let j(y) be the second derivative of 0 - 6*y - b*y**3 + 9/8*y**2 - 1/16*y**4. Factor j(i).
-3*(i - 1)*(i + 3)/4
Solve -45/2*m + 81 - 1/2*m**3 - 8*m**2 = 0 for m.
-9, 2
Let j(a) = 7*a**2 - 100*a + 28. Let i be j(14). Let 0*n**2 + i + 2/9*n**3 - 2/9*n = 0. What is n?
-1, 0, 1
Let -4/7*x**3 + 24/7 + 20/7*x - 8/7*x**2 = 0. What is x?
-3, -1, 2
Let t(f) be the first derivative of -f**6/30 + f**5/5 - f**4/3 - 9*f + 24. Let g(o) be the first derivative of t(o). Let g(z) = 0. What is z?
0, 2
Let k(d) be the third derivative of d**6/24 - 35*d**5/6 + 1615*d**4/6 - 5780*d**3/3 + 189*d**2. Determine o, given that k(o) = 0.
2, 34
Suppose 4*b - 9*b = -720. Suppose -44*k**3 + 17*k - 3 + 5 + 4*k**4 - 81*k - 258 + b*k**2 = 0. What is k?
-1, 4
Suppose -4*r + 3*d - 8*d = -19, -r - 5*d + 1 = 0. Let u(m) be the third derivative of 0*m - 1/9*m**4 + 1/90*m**5 + 4/9*m**3 + 0 + r*m**2. Factor u(v).
2*(v - 2)**2/3
Let s(x) = -10*x**2 + 18*x - 8. Let t(c) be the third derivative of c**4/24 - c**3/6 - 49*c**2. Let m(q) = s(q) - 4*t(q). Determine d, given that m(d) = 0.
2/5, 1
Let n(p) be the first derivative of 5*p**9/3024 + 5*p**8/672 + p**7/84 + p**6/144 - 2*p**3/3 - 11. Let f(t) be the third derivative of n(t). Factor f(i).
5*i**2*(i + 1)**2*(2*i + 1)/2
Suppose 4*u - u + 13 = 22. Determine r, given that -22/7*r**2 + 6/7*r**u + 24/7*r - 8/7 = 0.
2/3, 1, 2
Let u = -196 + 164. Let c be (u/80)/((-22)/40). Determine k, given that c*k + 8/11 + 2/11*k**2 = 0.
-2
Factor 0 - 42/11*h**3 - 2/11*h - 4*h**2.
-2*h*(h + 1)*(21*h + 1)/11
Let p(z) be the third derivative of -z**7/15 + z**6/2 - 4*z**5/15 + 120*z**2. Solve p(i) = 0.
0, 2/7, 4
Let x = 8 - 3. What is l in x*l**3 + 4*l**3 - 13*l**3 = 0?
0
Let r(d) be the first derivative of -4*d**3/3 - 38*d**2 - 72*d - 1033. Factor r(y).
-4*(y + 1)*(y + 18)
Let g(k) = k**2 - 11*k - 16. Let a(c) = -c. Let p(b) = -22*a(b) + 2*g(b). Solve p(f) = 0 for f.
-4, 4
Let d(w) be the first derivative of 1/8*w**3 - 17 + 0*w - 1/40*w**5 - 1/8*w**2 + 0*w**4. Suppose d(h) = 0. Calculate h.
-2, 0, 1
Suppose 5*s - 7*b + 2*b = -35, -4*s - 26 = -5*b. Let u be (1 - (-3)/9) + (-114)/s. Determine v so that -14*v**3 + u*v + 2 - 49/2*v**4 + 45/2*v**2 = 0.
-1, -2/7, 1
Let q = -34 + 38. Factor -1 + 0 + 8*y - 10*y**3 + 2*y**3 + 4*y**q - 3.
4*(y - 1)**3*(y + 1)
Let i = -1666 - -8332/5. Let a(f) be the first derivative of i*f - 2/5*f**3 + 9 - 2/5*f**2. Factor a(z).
-2*(z + 1)*(3*z - 1)/5
Let d(t) = -2*t + 27. Let i(o) = -o**3 + 4*o**2 - o + 5. Let s be i(3). Let v be d(s). Factor 0*x**2 + 0*x + 3/4