 = -3*q - 2*q. Suppose b - 2*b = -4*y + 11, q*b - 29 = -y. Factor -2*p**2 + 2*p**y + 2*p**2 + 0*p**4 + 4*p**3 - 4*p - 2*p**2.
2*p*(p - 1)*(p + 1)*(p + 2)
Solve -7203/4 - 15435/8*j - 45/4*j**4 - 525/4*j**3 - 3/8*j**5 - 735*j**2 = 0.
-7, -2
Suppose 21*o = 19*o. Let u(f) be the second derivative of o + 0*f**2 - 8*f + f**3 - 3/4*f**4 + 3/20*f**5. Determine d so that u(d) = 0.
0, 1, 2
Let m be ((-9)/7)/((-3)/21) + -7. Suppose -20/3*j + 4/3*j**m + 16/3 = 0. Calculate j.
1, 4
Let w(x) = -3*x**4 - 13*x**3 - 41*x**2 + 13*x + 27. Let g(n) = -n**4 - 4*n**3 - 14*n**2 + 4*n + 9. Let k(h) = -17*g(h) + 6*w(h). Suppose k(v) = 0. Calculate v.
-9, -1, 1
Let c(d) be the third derivative of 1/1008*d**8 - 1/315*d**7 + 1/72*d**4 - 1/180*d**6 - 4*d**2 + 5 + 1/45*d**5 - 1/9*d**3 + 0*d. Let c(q) = 0. What is q?
-1, 1, 2
Let n(z) be the first derivative of -z**6/60 + z**4/12 - 13*z**2 + 14. Let q(j) be the second derivative of n(j). Factor q(t).
-2*t*(t - 1)*(t + 1)
Let t be ((-40)/(-16))/((-10)/(-45) - 314/(-72)). Let 0 + t*r**2 + 30/11*r = 0. What is r?
-5, 0
Let k = -35 + 26. Let c(w) = -w - 6. Let s be c(k). Factor -3*g**s + 8*g**2 + 2*g**2 - 13*g**2.
-3*g**2*(g + 1)
Let a be (-165)/60 - 3/(-4). Let g be -2 - (1060/15)/a. Factor 20/3*p**2 + 16/3 - 64/3*p + g*p**3.
4*(p + 1)*(5*p - 2)**2/3
Let i(l) = l**3 + 9*l**2 - 10*l + 2. Let c be i(-10). Factor -6 + c*s - 129*s**3 + 48*s**2 + s + 78*s**4 + 27*s**3 - 21*s**5.
-3*(s - 1)**4*(7*s + 2)
Let n be 355*2 - (-5 - -2 - -2). What is p in n*p**2 - 3*p - 15*p - 699*p**2 - 2*p**3 = 0?
0, 3
Suppose -8*g - 4*k - 18 = -11*g, 5*g - 19 = 3*k. Let h be (g/(-10))/((-6)/12). Let 0 + 4/5*q - 6/5*q**3 - h*q**2 = 0. What is q?
-1, 0, 2/3
Let g(s) be the first derivative of -s**3/6 - 11*s**2/2 - 21*s/2 + 200. Suppose g(m) = 0. What is m?
-21, -1
Let j(z) be the third derivative of z**6/36 + 5*z**5/24 + 5*z**4/12 - 5*z**3/6 + 15*z**2. Let n(r) be the first derivative of j(r). Factor n(k).
5*(k + 2)*(2*k + 1)
Suppose -5*t - 2*g + g + 97 = 0, 0 = 3*g - 6. Let w be (t + 0 - 1)*8/60. Factor 3*i**2 - w - 24/5*i.
3*(i - 2)*(5*i + 2)/5
Let j(k) be the first derivative of k**6/33 - 8*k**5/55 + 20*k**3/33 - k**2/11 - 12*k/11 - 494. Determine c so that j(c) = 0.
-1, 1, 2, 3
Suppose 7*k - 65 = -4*u, -5*u - k = -3*u - 15. Suppose -28/9*j**u + 8/3*j**3 + 0 + 10/9*j**5 - 4/9*j**2 - 2/9*j = 0. Calculate j.
-1/5, 0, 1
Let w(j) be the first derivative of 22*j**5/25 - 13*j**4 + 138*j**3/5 + 224*j**2 + 392*j/5 - 393. Solve w(c) = 0.
-2, -2/11, 7
Let t(z) = -5*z + 147. Let l be t(29). Factor 4*o + l*o**2 + 8/3 + 1/3*o**3.
(o + 2)**3/3
Let t(s) be the third derivative of 0 + 0*s + 0*s**3 - 1/60*s**5 + 1/12*s**4 - s**2 - 1/120*s**6. What is n in t(n) = 0?
-2, 0, 1
Let k = -9988 - -9990. Determine c, given that -4/5*c**3 - 2/5*c**k + 4/5*c + 2/5 = 0.
-1, -1/2, 1
Let 30*o + 105 - 79*o**2 + 3*o**3 + 90*o + 195 + 120*o + 22*o**2 = 0. What is o?
-1, 10
Let i(d) = 4*d - 8. Let j be i(4). Factor -6*s**2 - j*s**3 + 3*s**3 + 2*s**3.
-3*s**2*(s + 2)
Let v(i) = -i**2 + 13*i + 3. Let k be v(6). Suppose -3*o - 6*o = -k. Factor 0*b**3 + 0*b**4 + 0*b + 1/2*b**o + 0 + 0*b**2.
b**5/2
Let w = -1887 - -9456/5. Suppose -4/5*s**3 + 0*s**2 - 4*s**4 - w*s**5 + 0 + 0*s = 0. Calculate s.
-2/3, -2/7, 0
Suppose -5*v + m = -21, -4*v + 12 = -3*m - 7. Factor 0 - 2/7*l**v + 2/7*l**2 - 2/7*l + 2/7*l**3.
-2*l*(l - 1)**2*(l + 1)/7
Let s(p) be the first derivative of p**4/60 - 2*p**3/15 + 2*p**2/5 - 8*p + 4. Let f(q) be the first derivative of s(q). Factor f(y).
(y - 2)**2/5
Let k(v) = -v + 11. Let j be k(9). Suppose 10 = 4*y + j. Determine a, given that 2*a**3 + 3*a**4 - 11*a**3 - 17*a**2 + 0*a**4 + 23*a**y = 0.
0, 1, 2
Let u(c) be the third derivative of c**6/24 + 11*c**5/6 + 25*c**4/3 + c**2 + 122. Factor u(s).
5*s*(s + 2)*(s + 20)
Factor -28 - 24 - 6*r - 2*r**2 + 62 - 2*r.
-2*(r - 1)*(r + 5)
Factor 14*z - 21/4*z**2 - 9 + 1/4*z**3.
(z - 18)*(z - 2)*(z - 1)/4
Let c(w) be the first derivative of 0*w**2 + 3/4*w**4 + 0*w + 3 + 3/5*w**5 - 2*w**3. Factor c(y).
3*y**2*(y - 1)*(y + 2)
Solve -4/7*v**4 - 2*v - 2/7*v**2 + 2*v**3 + 6/7 = 0 for v.
-1, 1/2, 1, 3
Determine m, given that 124138*m**4 + 2908*m**3 - 3056*m + 144*m + 4*m**5 - 123926*m**4 - 2704 + 1249*m**2 + 1243*m**2 = 0.
-26, -1, 1
Suppose 8*p - 9*p = 0. Let b(w) = -w**3 + w**2 - w + 2. Let u be b(p). Suppose d**4 + d**3 - d**3 + 376*d - 3*d**u - 378*d = 0. What is d?
-1, 0, 2
Let q(y) be the first derivative of y**6/960 - y**5/240 + y**4/192 + 25*y**2/2 + 16. Let p(h) be the second derivative of q(h). Factor p(o).
o*(o - 1)**2/8
Let y(f) be the first derivative of 3/4*f**2 + 0*f**3 - 1 + 3*f - 1/8*f**4. Let o(r) be the first derivative of y(r). Factor o(l).
-3*(l - 1)*(l + 1)/2
Let n be 8/28 + (-950)/(-1575). Determine g, given that -4/3*g**2 + 20/9*g - n = 0.
2/3, 1
Factor -134/7*j**4 + 2/7*j**5 + 896*j - 2048/7 + 2438/7*j**3 - 6530/7*j**2.
2*(j - 32)**2*(j - 1)**3/7
Let m = -421530/17 - -24796. Factor -6/17 + m*j**2 - 4/17*j.
2*(j - 3)*(j + 1)/17
Let s(z) be the first derivative of -4*z**3/3 + 134*z**2 - 520*z - 173. Determine n, given that s(n) = 0.
2, 65
Let l be (-14)/4*60/(-35). Let f be 6 - 1/(2*1/l). Let 0 + 2/7*m**2 + 0*m - 2/7*m**f = 0. What is m?
0, 1
Let v(x) be the third derivative of x**7/4410 + x**6/420 + x**5/105 - 13*x**4/24 + 4*x**2. Let w(o) be the second derivative of v(o). Solve w(h) = 0.
-2, -1
Let d = 1/4 - 1/5. Let l(i) be the third derivative of -1/2*i**4 + 0*i + 0 + 4*i**2 + d*i**5 + 2*i**3. Determine q, given that l(q) = 0.
2
Let g(h) be the second derivative of 3*h**5/80 + 5*h**4/8 - h**3/8 - 15*h**2/4 - 5*h - 8. Factor g(p).
3*(p - 1)*(p + 1)*(p + 10)/4
Let d(h) = 3*h**2 - 154*h + 151. Let p(m) = 7*m**2 - 461*m + 454. Let k(n) = -11*d(n) + 4*p(n). Factor k(s).
-5*(s - 1)*(s + 31)
Let a(n) be the third derivative of -2*n**7/735 + n**6/14 - 18*n**5/35 - 18*n**4/7 + 432*n**3/7 - 179*n**2. Factor a(m).
-4*(m - 6)**3*(m + 3)/7
Let d(n) be the first derivative of 121*n**6/21 + 1408*n**5/35 + 1321*n**4/14 + 1420*n**3/21 - 164*n**2/7 + 16*n/7 + 23. Find c such that d(c) = 0.
-2, 1/11
Let j(u) = -5*u**3 + u. Suppose 0*x + 5*z - 4 = -x, 2*x + z = -1. Let v(t) = t**3. Let h(m) = x*j(m) - 4*v(m). Factor h(q).
q*(q - 1)*(q + 1)
Factor -5*t + 97 + 9*t**3 - 4*t**3 - 50*t**2 - 47.
5*(t - 10)*(t - 1)*(t + 1)
Let y(g) = 141*g - 2. Let a be y(1). Let t = a - 691/5. Suppose 0*b**2 + t*b**4 + 0*b**3 + 0 + 0*b - 2*b**5 = 0. Calculate b.
0, 2/5
Let k(w) be the second derivative of -135*w**7/7 + 69*w**6/2 + 13*w**5 + 5*w**4/4 + 144*w. Solve k(j) = 0.
-1/9, 0, 3/2
Let r be 9/(1 + -13 - 2706/(-164)). Suppose 1/4 + 3/4*i - i**3 + 0*i**r = 0. Calculate i.
-1/2, 1
Let o(t) be the first derivative of t**6/18 + 4*t**5/15 + t**4/3 - 2*t**3/9 - 5*t**2/6 - 2*t/3 - 95. Factor o(w).
(w - 1)*(w + 1)**3*(w + 2)/3
Let r = 2 - -17. Factor -i**2 + 0*i**2 + 3*i**2 - 18*i**3 + r*i**3 + i.
i*(i + 1)**2
Let p(v) be the first derivative of 0*v**3 + 1/9*v**6 + 7 + 0*v**2 + 0*v**4 + 0*v + 2/15*v**5. Factor p(y).
2*y**4*(y + 1)/3
Let l be (-70)/(-22) - (-2)/(-11). Suppose l*w - 4*b = 11, w + 0*w - 9 = -4*b. Determine u so that -6*u**3 - 4*u + 7*u**3 + 7*u**3 - 2*u**5 - 2*u**w = 0.
-1, 0, 1
Let x(i) = -15*i - 6. Let y be x(-3). Let m be y/30 - (-10)/50. Factor -m*c**2 - 6 - 6*c.
-3*(c + 2)**2/2
Let m = -163 + 167. Suppose 3*b + 9 = 2*w + m*b, -w - b = -7. Solve 2 + 1/2*k**3 + 0*k - 3/2*k**w = 0 for k.
-1, 2
Suppose 15 = 3*b - 3*n, b = -2*b - 5*n + 15. Suppose 30 = 5*i - 4*r, 4*i - b*r = -0*i + 33. Solve -2*z**i + 8*z + 8*z**2 + 8 + 4*z + z**3 = 0.
-2
Suppose -x + 13 = 10. Factor 12 + 6*a - 14*a + x - 4*a**2 - 3.
-4*(a - 1)*(a + 3)
Let h(z) be the second derivative of z**4/3 + 20*z**3 + 450*z**2 - 49*z - 1. Factor h(n).
4*(n + 15)**2
Let r(m) be the second derivative of m**5/100 - 7*m**3/10 + 2*m**2 + 267*m. Factor r(p).
(p - 4)*(p - 1)*(p + 5)/5
Factor 2/5*n**3 + 2*n**2 - 2/5*n**4 + 0 + 6/5*n.
-2*n*(n - 3)*(n + 1)**2/5
Factor 8/5*f**3 + 0 + 8/5*f + 34/5*f**2.
2*f*(f + 4)*(4*f + 1)/5
Let d = 3696 + -3694. Factor -1/3*m**2 + d*m - 5/3.
-(m - 5)*(m - 1)/3
Suppose 5*p - 1171 = 4*y, -5*p = -13 + 38. Let f = 1501/5 + y. Find g, given that f*g + 1/5*g**2 + 9/5 = 0.
-3
Let f(v) be the second derivative of -v**6/240 - 7*v**5/80 - 11*v**3/2 + 27*v - 2. Let s(l) be t