 = 5*d - 14. Let i be l(10). Let c be i/40*5/6. Suppose -3/4*x - 3/4 + c*x**2 + 3/4*x**3 = 0. What is x?
-1, 1
Let z(p) = -p**2 - 16*p - 37. Let a be z(-13). Let o be 0 + -2 + (0 - (a - 7)). Suppose -8/3*n**2 + 0 + 2*n + 2/3*n**o = 0. What is n?
0, 1, 3
Let i(w) = 2*w**2 + 68*w + 192. Let t(r) = -r**2 - 70*r - 192. Let z(y) = -3*i(y) - 2*t(y). Factor z(l).
-4*(l + 4)*(l + 12)
Let x = 2339/7 - 9335/28. Suppose 1/2 + x*m + 1/4*m**2 = 0. What is m?
-2, -1
Let d(b) = 190*b**2 - b - 2. Let y be d(2). Factor 756 - 5*s**2 - 25*s**3 - y - 30*s**4.
-5*s**2*(2*s + 1)*(3*s + 1)
Let c be ((-6)/7)/((-60)/56). Let q(f) be the first derivative of -4/15*f**3 + 1 + c*f - 1/5*f**2 + 1/10*f**4. Factor q(j).
2*(j - 2)*(j - 1)*(j + 1)/5
Let w be (-1)/22 + 109/2398. Let d(h) be the second derivative of 6*h + h**2 - 1/3*h**3 - 1/6*h**4 + w + 1/10*h**5. Factor d(z).
2*(z - 1)**2*(z + 1)
Find p such that 14/5*p**5 + 428/5*p**3 - 616/5*p**2 - 64/5 - 26*p**4 + 368/5*p = 0.
2/7, 1, 2, 4
Determine j so that -4 + 18 - 632*j**4 + 76*j**2 + 44*j**3 + 638*j**4 + 54*j - 2*j**5 = 0.
-1, 7
Let h be 18/(-297)*484/(-22). Determine n, given that -h*n - n**2 + 4/3 = 0.
-2, 2/3
Let y = -11 - -17. Suppose y*h**2 + 5*h**3 + 0*h**2 + 10*h + 9*h**2 = 0. Calculate h.
-2, -1, 0
Suppose 2*f = -4*g + 3 + 7, 0 = -3*g - 3*f. Let l be ((-21)/g + 4)*-1. Factor -1/5*d**2 + 1/5*d - l*d**3 + 1/5.
-(d - 1)*(d + 1)**2/5
Let g = -6/11 + 35/44. Let l be 11 + -8 + (-36)/16. Determine m, given that -g*m**2 - 1/2 + l*m = 0.
1, 2
Let p(l) = l**4 + 4*l**3 - 3*l**2 - 6*l - 8. Let i(g) = -2*g**4 - 8*g**3 + 6*g**2 + 14*g + 16. Let d(z) = 4*i(z) + 7*p(z). Let d(s) = 0. What is s?
-4, -1, 2
Let a be -34 + (-2 - (-4)/(8/6)). Let r = 33 + a. Factor 0*q + 0*q**2 + 0*q**4 + 1/4*q**5 + r*q**3 + 0.
q**5/4
Let u(d) be the second derivative of -3*d**5/20 + 5*d**4 - 18*d**3 + 80*d. Solve u(c) = 0.
0, 2, 18
Let j be (36 + 1030/(-30))/((-5)/(-6)). Determine i, given that 2/13*i**4 + 0*i + 0*i**j + 0 + 2/13*i**3 = 0.
-1, 0
Let t(b) be the second derivative of -b**5/110 + 5*b**4/22 - 56*b**3/33 + 290*b. Suppose t(n) = 0. What is n?
0, 7, 8
Factor 39605/2 + 5/2*q**2 - 445*q.
5*(q - 89)**2/2
Suppose 5*l + 20 = 30. Let m(v) be the second derivative of 0 + 5/6*v**3 - 2*v - v**l + 7/12*v**4. Factor m(s).
(s + 1)*(7*s - 2)
Let t = 19 + -16. Let k be 15/18*t - 1/2. Find p, given that -2/11*p**k + 8/11*p - 8/11 = 0.
2
Let h(w) = -w**5 - 2*w**4. Let a(f) = 2*f**5 + 5*f**4 + 4*f**3 + 4*f**2. Let u(y) = -2*a(y) - 6*h(y). Factor u(s).
2*s**2*(s - 2)*(s + 1)*(s + 2)
Let v be (-78)/(-4)*8/6. Factor -29*q - q + 5*q**2 + 71 - v.
5*(q - 3)**2
Suppose 5*k = 5*t + 30, k + 3*t = -8 - 2. Let g(r) be the second derivative of 0 + r**k - 1/2*r**3 + 1/12*r**4 - 6*r. Factor g(o).
(o - 2)*(o - 1)
Let z(w) = 190*w**2 - 4480*w + 38960. Let a(f) = -7*f**2 + 166*f - 1443. Let q(p) = -55*a(p) - 2*z(p). Factor q(b).
5*(b - 17)**2
Let t = -3193 - -9583/3. Factor 10/9*r - t - 2/9*r**2.
-2*(r - 3)*(r - 2)/9
Factor 0*j**2 - 8/9*j**4 + 0 + 0*j - 10/9*j**3 + 2/9*j**5.
2*j**3*(j - 5)*(j + 1)/9
Let k(m) = m - 5. Let f be k(5). Suppose f = -g + 4. Solve 117*y**2 + 50 - 23*y**3 - 14 - g*y**3 - 120*y = 0 for y.
2/3, 3
Suppose -103*w = -390 + 126 - 148. Solve -2/3*z**2 - w - 10/3*z = 0 for z.
-3, -2
Let o(t) be the third derivative of t**9/1512 - t**7/210 + t**5/60 - 4*t**3/3 + 14*t**2. Let u(z) be the first derivative of o(z). Factor u(s).
2*s*(s - 1)**2*(s + 1)**2
Find y, given that 14/13*y**3 + 2/13 - 14/13*y + 16/13*y**4 - 18/13*y**2 = 0.
-1, 1/8, 1
Suppose 0 = 20*t - j - 658, 2*j + 95 = 3*t - 0*j. Find o such that 27*o**2 + 0*o - 1/3*o**5 + 0 + 19/3*o**4 - t*o**3 = 0.
0, 1, 9
Let k be (15/(-30) - 1/2)*-36. Suppose 36 = 9*q + k. Factor 0*n - 1/2*n**3 + n**2 + q.
-n**2*(n - 2)/2
Let a(o) be the third derivative of -o**6/240 - 5*o**5/24 - 7*o**4/2 - 12*o**3 - 9*o**2 - 3*o. Determine k, given that a(k) = 0.
-12, -1
Suppose c - m = m + 480, 4*c + 2*m = 1900. Let x be c/126 + 4/18. Factor -w + 5*w - x*w**2 - 7*w - 5*w.
-4*w*(w + 2)
Let c = 507 - 505. Factor 9/2 - 3*o + 1/2*o**c.
(o - 3)**2/2
Let h = -9305/2 + 4654. What is j in -h - 5/4*j + 1/4*j**2 = 0?
-1, 6
Let g = -1 - 60. Let a = 61 + g. Factor 1/3*v**2 + a + v.
v*(v + 3)/3
Let q(v) = -3*v**2 + 169*v**3 + 4 - 4*v + 15*v**2 + v**4 - 163*v**3. Let m(x) = x**4 + 6*x**3 + 13*x**2 - 5*x + 5. Let g(o) = 4*m(o) - 5*q(o). Factor g(c).
-c**2*(c + 2)*(c + 4)
Let q = -112/57 - -88/19. Let b(x) be the first derivative of -1/3*x**4 - 3 + 2/3*x**2 - 8/9*x**3 + q*x. Let b(n) = 0. What is n?
-2, -1, 1
Find o such that -41 - 51 + 2*o**2 + 63 + 104 - 64*o + 99 = 0.
3, 29
Let l be ((-24)/(-9))/(2 + (-11)/3). Let h = -1 - l. Factor h*s**2 - 4/5 + 1/5*s**3 + 0*s.
(s - 1)*(s + 2)**2/5
Let b(z) = -10*z**3 - 4*z**2 + 20*z - 12. Let c(m) = -m**3 - m**2 + m - 1. Let s be 4/(-3)*(-20 - -11). Let t(l) = s*c(l) - b(l). Find f such that t(f) = 0.
-2, 0
Let d(m) be the second derivative of -m**7/126 - 2*m**6/15 - 19*m**5/30 - 13*m**4/9 - 11*m**3/6 - 4*m**2/3 + 56*m. Suppose d(b) = 0. What is b?
-8, -1
Let r be 24/(-16) - 1/2. Let h be (-1)/(-3) - r/12. Factor 1/2*z**3 - 1/4 - 3/4*z + 1/4*z**5 + 3/4*z**4 - h*z**2.
(z - 1)*(z + 1)**4/4
Let o(l) be the second derivative of -l**9/9072 + l**7/1260 - l**5/360 + 8*l**3/3 + 18*l. Let f(w) be the second derivative of o(w). Factor f(h).
-h*(h - 1)**2*(h + 1)**2/3
Factor 4/3*s - 2/3 - 2/3*s**2.
-2*(s - 1)**2/3
Let i(l) = 9*l**3 - 29*l**2 - 14*l + 5. Suppose -j + 10 = 4*c - 5, 4*j = -c. Let x(m) = -m**2 - m + 1. Let h(v) = j*i(v) + 5*x(v). Suppose h(u) = 0. What is u?
-1/3, 0, 3
Let b(g) be the third derivative of -g**7/126 + g**6/18 + 11*g**5/36 + 5*g**4/12 - 25*g**2 + 5*g. Determine a, given that b(a) = 0.
-1, 0, 6
Let o(h) be the third derivative of 0 + 4/21*h**3 + 1/735*h**7 + 13/210*h**5 - 7*h**2 + 0*h - 1/7*h**4 - 1/70*h**6. Find p such that o(p) = 0.
1, 2
Let a = 2 + 3. Suppose -2*m + 3 - 4 = -5. Solve 0*g**m + 0*g + 0*g**3 - 2/7*g**4 + 2/7*g**a + 0 = 0 for g.
0, 1
Factor 7*p + 9/2 - 9/4*p**3 + 3/8*p**2 - 1/8*p**4.
-(p - 2)*(p + 1)**2*(p + 18)/8
Let p(a) be the second derivative of -a**7/2940 - a**6/420 + a**4/21 - 23*a**3/6 + 29*a. Let g(q) be the second derivative of p(q). Factor g(c).
-2*(c - 1)*(c + 2)**2/7
Let q(l) be the first derivative of -30/7*l + l**3 + 99/14*l**2 - 9. Solve q(u) = 0 for u.
-5, 2/7
Let w(a) be the first derivative of 1/9*a**3 + a + 2/3*a**2 + 9. Factor w(h).
(h + 1)*(h + 3)/3
Let j(c) be the first derivative of -c**7/1400 - c**6/300 + 3*c**5/200 + 6*c**3 + 20. Let b(o) be the third derivative of j(o). Factor b(m).
-3*m*(m - 1)*(m + 3)/5
Let a(w) be the third derivative of 0 + 9/56*w**4 - 12*w**2 + 0*w + 3/70*w**5 + 0*w**3 + 1/280*w**6. Suppose a(r) = 0. Calculate r.
-3, 0
Let i(v) be the second derivative of v**5/130 - 3*v**4/26 + 5*v**3/13 - 7*v**2/13 - 21*v. Let i(s) = 0. What is s?
1, 7
Let r(q) be the third derivative of -121*q**5/12 - 55*q**4/4 - 15*q**3/2 - 104*q**2 + q. Find t, given that r(t) = 0.
-3/11
Let v be 2/(-10) - 8/(-40). Let h(n) be the third derivative of 1/210*n**5 + 0*n**3 + 1/84*n**4 - 9*n**2 + 0*n + v. Solve h(k) = 0 for k.
-1, 0
Let p(z) be the first derivative of z**4/16 - 127*z**3/12 + 496*z**2 + 1024*z - 746. Factor p(a).
(a - 64)**2*(a + 1)/4
Let o = 43 - 34. Factor -36*t**2 - o*t**2 + 2*t**2 + 12 - 32*t**2 - 36*t - 27*t**3.
-3*(t + 1)*(t + 2)*(9*t - 2)
Let t(n) = n**2 - 76*n - 762. Let r be t(-9). Solve 4/23*g + 0 + 2/23*g**2 - 2/23*g**r = 0.
-1, 0, 2
Suppose -6*o = 8*o. Let m(c) be the second derivative of -4*c + 0*c**2 + o + 0*c**3 - 1/10*c**5 + 1/3*c**4. Factor m(n).
-2*n**2*(n - 2)
Suppose -2*d - h + 5 = -2*h, -4*d + 14 = 2*h. Find q, given that 2*q**d + 146*q**4 + q**2 - 2*q**2 - 147*q**4 = 0.
0, 1
Let y(g) be the third derivative of g**6/160 - 9*g**5/80 + 23*g**4/32 - 15*g**3/8 - 12*g**2. Let y(m) = 0. What is m?
1, 3, 5
Let k(h) be the third derivative of -h**7/7560 + h**6/540 - h**5/120 + 11*h**4/12 + 31*h**2. Let s(a) be the second derivative of k(a). Factor s(p).
-(p - 3)*(p - 1)/3
Let v = -36600/17 + 2154. Factor -2/17*h**2 - 12/17*h - v.
-2*(h + 3)**2/17
Let f(i) be the first derivative of 23 - 15/2*i**2 + 15/4*i**4 - 6*i + 2*i**3. What is k in f(k) = 0?
-1, -2/5, 1
Let g(k) be the first derivative of -k**4/20 - 2*k**3/5 - 11*k*