se -3*g = 2*g - 10. Let z be 6/78 + (-442)/(-845). Factor 0*c + 0 - z*c**g.
-3*c**2/5
Suppose 142*z + 15*z - 2 = -2. What is k in -9/5*k**3 + z*k + 7/5*k**4 + 0 + 2/5*k**2 = 0?
0, 2/7, 1
Let x(w) be the second derivative of -10*w + 3/5*w**2 + 0 + 7/15*w**3 + 1/6*w**4 + 1/50*w**5. Suppose x(p) = 0. Calculate p.
-3, -1
Let l = -36 + -44. Let f be (-2)/6 + l/(-24). Factor 31*b**2 + 5 + 3*b - 5*b**f - 16*b**2 - 18*b.
-5*(b - 1)**3
Let n(c) be the second derivative of -c**7/210 + c**5/25 - 6*c - 3. Determine s so that n(s) = 0.
-2, 0, 2
Let n be 27/7 + (12 - 581/49). Determine r, given that -1/4*r**n + 0 - 1/4*r**3 + 0*r + 1/2*r**2 = 0.
-2, 0, 1
Suppose -27 = -3*i - 6. Factor -2*k - k**3 - 8*k**2 - i*k - k**3 + k.
-2*k*(k + 2)**2
Let q = 574 - 574. Let k(d) be the second derivative of 0*d**4 + 1/5*d**2 - 1/75*d**6 + q + 2/15*d**3 - 1/25*d**5 - 6*d. Determine z, given that k(z) = 0.
-1, 1
Let o(h) be the third derivative of -h**7/735 - h**6/140 - h**5/70 - h**4/84 + 12*h**2 - 3. Factor o(l).
-2*l*(l + 1)**3/7
Let i be ((-3)/(-12)*-3)/(0 + -3). Let r(d) = -3*d - 12. Let s be r(-5). Factor i*k + 3/4*k**s + 0 - 1/4*k**4 - 3/4*k**2.
-k*(k - 1)**3/4
Let u(t) be the second derivative of -t**5/35 + 13*t**4/21 + 4*t**3/3 + 131*t. Factor u(f).
-4*f*(f - 14)*(f + 1)/7
Let -52/11*v**2 - 1/11*v**5 + 207/11*v - 78/11*v**3 + 162/11 + 18/11*v**4 = 0. What is v?
-1, 2, 9
Factor 18*p - 14 - 34/9*p**2 - 2/9*p**3.
-2*(p - 3)*(p - 1)*(p + 21)/9
Suppose 2*q + 92 - 96 = 0. Let m(v) be the second derivative of -v**q - 4*v - 1/2*v**3 - 1/12*v**4 + 0. Determine w so that m(w) = 0.
-2, -1
Let a(j) be the third derivative of -j**5/50 - 2*j**4/15 + 4*j**2. Factor a(f).
-2*f*(3*f + 8)/5
Let g be (-27)/(-3) - 1*(2 - -1). Let s be -1 + 3 + 1/1. Factor 0*f - 3*f - 6*f**2 - g*f**3 + 0*f + s*f**3.
-3*f*(f + 1)**2
Let z(s) be the first derivative of s**3/21 + s**2/2 - 8*s/7 + 242. What is f in z(f) = 0?
-8, 1
Factor 22/5*j - 38/5*j**2 + 8/5*j**3 + 8/5.
2*(j - 4)*(j - 1)*(4*j + 1)/5
Let k(q) be the second derivative of 1/180*q**6 + 0*q**2 + 1/2*q**3 + 0 + 0*q**4 + 1/90*q**5 + 3*q. Let g(z) be the second derivative of k(z). Factor g(p).
2*p*(3*p + 2)/3
Let m(n) = -8*n**3 - n**2 + 3*n + 1. Let a be m(-2). Let t = -53 + a. Factor 14/5*w - 2*w**t + 4/5 - 8/5*w**3.
-2*(w - 1)*(w + 2)*(4*w + 1)/5
Let m(c) be the first derivative of 0*c**2 - 12 + 1/18*c**3 + 1/24*c**4 + 0*c. Find k such that m(k) = 0.
-1, 0
Suppose 2/21*s**2 + 4/7*s + 16/21 = 0. What is s?
-4, -2
Let k(g) be the first derivative of -g**9/1008 + g**8/280 - g**7/280 + 16*g**3/3 - 16. Let x(s) be the third derivative of k(s). Let x(u) = 0. Calculate u.
0, 1
Let s = -3705 - -3713. Determine h, given that 32 + 1/2*h**2 - s*h = 0.
8
Let q be (31/(-5) + 6)*(-64)/8. Suppose 0 - 12/5*a**3 - 12/5*a**2 + q*a - 12/5*a**5 + 28/5*a**4 = 0. What is a?
-2/3, 0, 1
Let o(w) = -2*w**2 - 2 - 2 + 0*w - 2*w + 0*w. Let x(j) = -4*j**2 - 4*j - 9. Let m(k) = -9*o(k) + 4*x(k). Find d such that m(d) = 0.
-1, 0
Let s = -69 - -205/3. Let u = 7/6 + s. Factor -u - 7/4*q**2 + 9/4*q.
-(q - 1)*(7*q - 2)/4
Suppose 25*x - 42*x = -85. Let b(k) be the second derivative of 2*k + 1/18*k**4 - 1/30*k**x + 0 - 1/3*k**2 + 1/9*k**3. Suppose b(y) = 0. Calculate y.
-1, 1
Let a be (-24)/4*1/(-2). Factor 3*i**4 - 7*i**3 + 3 + 3*i - 6*i**2 + 5*i**3 - 4*i**a + 3*i**5.
3*(i - 1)**2*(i + 1)**3
Let p(f) = -6*f**2 - 170*f. Let w(o) = 3*o**2 + 84*o. Let t(z) = 6*p(z) + 11*w(z). Solve t(r) = 0 for r.
-32, 0
Let h(w) be the first derivative of 16*w**6/3 - 184*w**5/5 + 59*w**4 + 32*w**3 - 18*w**2 - 149. Let h(z) = 0. Calculate z.
-1/2, 0, 1/4, 3
Let t(a) be the first derivative of -a**6/280 - 3*a**5/140 - 19*a**2 + 23. Let o(y) be the second derivative of t(y). Factor o(w).
-3*w**2*(w + 3)/7
Suppose -6 - 12 = -3*y. Suppose 0 = y*i - i - 10. Factor 0*h**i - h**3 - 4*h**3 + 7*h**5 - 2*h - 9*h**4 + 9*h**2.
h*(h - 1)**2*(h + 1)*(7*h - 2)
Let i(b) be the second derivative of -25*b**4/12 - 25*b**3/6 - 13*b. Let g(f) = -26*f**2 - 26*f + 1. Let h(y) = -5*g(y) + 6*i(y). What is d in h(d) = 0?
-1/2
Let b(i) = -2*i - 6 + 3 - 2 - 4*i - i**3 + 8*i**2. Let q be b(7). Suppose -32*m - q*m**2 + m**2 - 34 - 3*m**2 - 30 = 0. Calculate m.
-4
Let i(c) = -c**3 + 3*c**2 + 7*c - 7. Let r be i(4). Let z = 14 + -11. Factor 0 + 4/5*j**z - 6/5*j**r + 0*j**2 + 0*j - 2/5*j**4.
-2*j**3*(j + 1)*(3*j - 2)/5
Let p(j) be the first derivative of 3/20*j**4 + 24 + 1/3*j**3 - 1/5*j**2 + 0*j. Suppose p(c) = 0. What is c?
-2, 0, 1/3
Factor -2*b**2 + 3*b**2 - 109*b + 29403 - 485*b + 0*b**2 + 2*b**2.
3*(b - 99)**2
Suppose -3*p - i + 5 = 0, -3*i = 5*p - 7*p - 15. Suppose -5*w + 4*n + 7 + 13 = p, -n = 2*w + 5. Factor 0*q + w + 1/3*q**2.
q**2/3
Let w = 4 - -6. Let c be ((-3)/w*2)/((-4)/10). Factor -c*f + 0 + 3/4*f**2.
3*f*(f - 2)/4
Let r(a) be the second derivative of -a**5/10 - 119*a**4/2 - 10680*a**3 - 31684*a**2 - 150*a. Suppose r(b) = 0. What is b?
-178, -1
Let l(c) = 2*c**3 + 434*c**2 - 428*c - 4. Let w(g) = 3*g**3 + 868*g**2 - 857*g - 7. Let t(k) = 7*l(k) - 4*w(k). Suppose t(o) = 0. What is o?
0, 1, 216
What is o in 7/2*o - 3 + 0*o**2 - 1/2*o**3 = 0?
-3, 1, 2
Let w(c) be the first derivative of c**4 - 64*c**3/3 + 47. Find u, given that w(u) = 0.
0, 16
Factor 40*k + 2247*k**2 + 31*k**4 + 81*k**4 - 5 - 2322*k**2 - 40*k**3 - 32*k**4.
5*(k - 1)*(k + 1)*(4*k - 1)**2
Let r(j) be the first derivative of 2*j**3/3 - 4*j**2 + 6*j - 164. Solve r(q) = 0.
1, 3
Let k(a) = -7*a**3 - 13*a**2 - 6*a - 4. Let j(i) = i**3 + i**2 + i + 1. Let q(y) = 6*j(y) + k(y). Let h be q(-7). Factor 1/6*v**h + 0*v - 1/6.
(v - 1)*(v + 1)/6
Suppose -6 = -6*w + 3*w. What is j in 6*j**3 + 13*j**w - j**2 + 44*j**4 - 9*j - 56*j**4 + 3*j**5 = 0?
-1, 0, 1, 3
Suppose 26 - 106 = -20*m. Let i(g) be the first derivative of 4 - 9/13*g**2 + 0*g - 4/13*g**3 - 1/26*g**m. Factor i(c).
-2*c*(c + 3)**2/13
Let a(n) be the first derivative of 6 - 1/70*n**5 - 6*n + 0*n**3 - 1/42*n**4 + 0*n**2. Let q(h) be the first derivative of a(h). Determine f so that q(f) = 0.
-1, 0
Suppose 1378 = 44*q + 62*q. Let j(m) be the second derivative of 0 - 1/5*m**6 - q*m + 2*m**2 + 3*m**3 + 3/2*m**4 - 1/10*m**5. Solve j(d) = 0.
-1, -1/3, 2
Factor 1/11*o**3 - 183/11*o**2 + 8280/11*o + 8464/11.
(o - 92)**2*(o + 1)/11
Let n(k) be the third derivative of k**8/2352 - 37*k**2. Factor n(r).
r**5/7
Let t(o) be the third derivative of -o**9/12096 - o**8/20160 - o**5/60 - 5*o**2. Let w(g) be the third derivative of t(g). Factor w(k).
-k**2*(5*k + 1)
Let x(n) be the first derivative of 2*n**6/3 + 116*n**5/5 - 31*n**4 - 116*n**3/3 + 60*n**2 + 152. Solve x(j) = 0.
-30, -1, 0, 1
Let c = 1768/3 + -589. Let w(k) be the second derivative of 6*k + 0*k**2 + 0 + 2/3*k**4 - c*k**3. Factor w(n).
2*n*(4*n - 1)
Let m(k) be the first derivative of -k**4/26 - 176*k**3/39 - 340*k**2/13 - 672*k/13 - 182. Factor m(n).
-2*(n + 2)**2*(n + 84)/13
Let k = -232 + 234. Let b = 356 - 4626/13. Factor 0 + 2/13*y**4 + 0*y + 0*y**3 - b*y**k.
2*y**2*(y - 1)*(y + 1)/13
Factor 160/11*f + 26/11*f**3 + 0 - 2/11*f**4 - 112/11*f**2.
-2*f*(f - 5)*(f - 4)**2/11
Find g such that -194*g**3 + 111*g**3 - 60*g + 9*g**4 + 108*g**3 + 6*g**4 - 80*g**2 = 0.
-3, -2/3, 0, 2
Let q(p) be the third derivative of 1/9*p**4 + 39*p**2 + 0*p - 1/315*p**7 + 1/45*p**6 - 1/9*p**3 - 1/15*p**5 + 0. Find n such that q(n) = 0.
1
Let j(n) = n**2 - 1. Let s(b) = 35 + 2*b**2 - 5*b + 21*b**3 + 3*b - 38. Let k(l) = 3*j(l) - s(l). Find o, given that k(o) = 0.
-2/7, 0, 1/3
Factor -4*a**4 + 10942*a - 4*a**3 - 10942*a.
-4*a**3*(a + 1)
Let r(c) be the third derivative of -c**10/30240 + c**8/1344 - c**7/504 - c**5/5 - 21*c**2. Let a(s) be the third derivative of r(s). Factor a(h).
-5*h*(h - 1)**2*(h + 2)
Suppose 56/3*q + 0 - 4/3*q**2 = 0. Calculate q.
0, 14
Let x(p) = 22 - 13*p + 12 - 26 - p**2. Let l be x(-13). Factor -l*b**2 + 11/2*b - 1 + 7/2*b**3.
(b - 1)**2*(7*b - 2)/2
Let v(b) be the third derivative of b**7/3780 - b**6/1620 - b**5/270 - b**3 + 4*b**2. Let f(r) be the first derivative of v(r). Suppose f(i) = 0. Calculate i.
-1, 0, 2
Let r(h) = 4*h**2 - 32*h - 30. Let q be r(9). Let x(w) be the first derivative of q*w + 21/4*w**4 + 16*w**3 - 11 + 33/2*w**2. Determine k, given that x(k) = 0.
-1, -2/7
Let j be (-488)/(-384) + 2/32. Let h(s) be the first derivative of 3 + 0