7, 4*q - h - 44 = 0. Factor 20*g**2 + 48*g + q*g**2 - 28*g**2 + 144.
4*(g + 6)**2
Let n be (-66557)/(-21470) - (5 - -1)/((-60)/(-16)). Find c such that n*c + 1/4*c**2 + 9/4 = 0.
-3
Let u(x) be the first derivative of -11/8*x**2 + 9/2*x + 1/12*x**3 + 41. Determine q so that u(q) = 0.
2, 9
Let t = 43 + -31. Let w(u) = -u**2 + 4*u + 7. Let v be w(5). Factor -2 - 9*k**2 - 4*k**3 + 4*k**3 + t*k - 2 + v*k**3.
(k - 2)**2*(2*k - 1)
Let s(k) be the first derivative of -k**4 - 56*k**3/3 + 32*k**2 + 896*k - 3773. Let s(q) = 0. Calculate q.
-14, -4, 4
Let w(j) be the first derivative of -j**4/28 - 58*j**3/7 + 354*j**2/7 - 712*j/7 - 1342. Factor w(b).
-(b - 2)**2*(b + 178)/7
Let h(c) be the second derivative of -1/6*c**3 - 3/14*c**4 + 3/7*c**2 + 81*c - 1/28*c**5 + 0. Solve h(r) = 0.
-3, -1, 2/5
Suppose -12859 - 20810 = 43*g. Let k = 1567/2 + g. Factor 13/6*z**3 + 2/3*z - k*z**4 - 8/3*z**2 + 0.
-z*(z - 2)**2*(3*z - 1)/6
Let j(h) be the second derivative of -2/21*h**7 + 5/3*h**4 + 0*h**2 - 2*h + 15 + 4/3*h**3 + 3/5*h**5 - 2/15*h**6. Let j(d) = 0. Calculate d.
-1, 0, 2
Let t(d) be the second derivative of d**8/1176 - d**7/735 - d**6/420 + d**5/210 - 49*d**2/2 + 15*d + 2. Let c(f) be the first derivative of t(f). Factor c(k).
2*k**2*(k - 1)**2*(k + 1)/7
Let u(a) be the second derivative of a**7/28 + 79*a**6/20 + 93*a**5/8 + 77*a**4/8 - 1924*a - 2. Factor u(p).
3*p**2*(p + 1)**2*(p + 77)/2
Solve -6*d - 37*d + 180 - 45*d - 59*d + 9*d**2 = 0.
4/3, 15
Determine i so that -2*i**4 - 16/3*i**2 - 2/3 + 14/3*i**3 + 3*i + 1/3*i**5 = 0.
1, 2
Let k(m) = 6*m**2 + 1613*m + 388. Let f(n) = -19*n**2 - 4873*n - 1165. Let t(h) = -6*f(h) - 21*k(h). Factor t(g).
-3*(g + 386)*(4*g + 1)
Suppose 49392000 + 840*c**2 + 352800*c + 2/3*c**3 = 0. What is c?
-420
Let s(k) = -1030*k + 3. Let u be s(0). Factor -1/2 - 1/4*d**2 - 7/8*d + 1/8*d**u.
(d - 4)*(d + 1)**2/8
Let l(c) be the second derivative of c**5/60 + 77*c**4/36 + 236*c**3/3 + 1272*c**2 + 3772*c. Let l(h) = 0. What is h?
-53, -12
Suppose 0 = -53*m + 58*m - 4390. Let d = -875 + m. Factor 0*p + 0*p**2 + 0 + 1/2*p**d.
p**3/2
Let m(q) be the first derivative of -3*q**5/160 + q**4/16 - q**3/16 + 135*q + 91. Let i(c) be the first derivative of m(c). Determine j, given that i(j) = 0.
0, 1
Let m = 423104 + -423102. Find g, given that 46/5*g**m - 6/5*g**3 - 32/5 + 4*g = 0.
-1, 2/3, 8
Let s(j) be the third derivative of 1/60*j**5 + 1/3*j**4 + 0 + 2*j**3 + 0*j + 23*j**2. Factor s(d).
(d + 2)*(d + 6)
Let h(j) be the third derivative of -j**8/1344 - j**7/12 + 21*j**4/4 - 11*j**2 + 9. Let v(y) be the second derivative of h(y). Factor v(t).
-5*t**2*(t + 42)
Let v(p) be the first derivative of 81 - 1/20*p**4 - 3/10*p**2 + 4/15*p**3 + 0*p. Suppose v(g) = 0. Calculate g.
0, 1, 3
Let t(b) be the first derivative of 0*b - 80/3*b**3 + 400*b**2 - 51 + 1/2*b**4. Factor t(s).
2*s*(s - 20)**2
What is v in 9/7*v**2 - 3/7*v**3 - 24/7 + 18/7*v = 0?
-2, 1, 4
Let y = -20366/3 - -6798. Factor 100*p - 88/3 + y*p**2.
4*(p + 11)*(7*p - 2)/3
Let b(q) = -q**2 + 2*q + 14. Let s be b(3). Determine h, given that -1 + 8*h**2 - 14*h - s + 2*h**3 - 4 - 4 = 0.
-5, -1, 2
Let f = -503 + 507. Let s(n) = n**2 - 13. Let r be s(f). Factor 0*m + 0*m**2 + 0 + 2/5*m**r.
2*m**3/5
Let p(i) be the third derivative of -i**6/1800 - i**5/150 - i**4/30 + 83*i**3/6 - 11*i**2 - 6. Let g(f) be the first derivative of p(f). Solve g(l) = 0 for l.
-2
Suppose 0 = 9*v - 20 - 7. Factor 94*o + 22*o**3 - 85*o**2 - 5*o**3 + v*o**3 - 2*o**4 - 36 + 6*o**3 + 3*o**2.
-2*(o - 9)*(o - 2)*(o - 1)**2
Let j(o) = o**2 - 71*o + 883. Let c be j(55). Let h(a) be the third derivative of 0 + 5*a**2 + 1/66*a**4 + 3/110*a**5 + 0*a + 0*a**c. Factor h(q).
2*q*(9*q + 2)/11
Let p(o) be the third derivative of -o**6/960 + 181*o**5/160 + 91*o**4/8 + 547*o**3/12 + 371*o**2 - 5*o. What is y in p(y) = 0?
-2, 547
Determine h, given that -206*h + 682*h**2 - 300*h**2 - 384*h**2 = 0.
-103, 0
Let s(d) be the first derivative of 875*d**6/51 - 920*d**5/17 - 2265*d**4/17 - 864*d**3/17 + 783*d**2/17 + 648*d/17 - 3026. Find y, given that s(y) = 0.
-3/5, 3/7, 4
Let c(w) = -w**2 + 20*w - 61. Let i be c(16). Let 9*p**3 + 5*p**3 - 3*p**4 + 3*p**2 + 2*p**3 - 3*p**5 - 6*p - 7*p**i = 0. What is p?
-2, -1, 0, 1
Let a(s) be the second derivative of s**6/165 + 738*s**5/55 + 121032*s**4/11 + 39698496*s**3/11 - 1663*s. Factor a(n).
2*n*(n + 492)**3/11
Let 0 + 2/3*a**3 - 76/3*a**2 + 272/3*a = 0. Calculate a.
0, 4, 34
Let 25/3*d - 1/3*d**2 + 442 = 0. Calculate d.
-26, 51
Let k(d) be the first derivative of d**5/420 + 19*d**4/84 + 361*d**3/42 - 4*d**2 - 7*d - 8. Let j(f) be the second derivative of k(f). Factor j(m).
(m + 19)**2/7
Let t(r) = -2*r**3 - 9*r + 1. Suppose 4*g = q - 0*g - 15, q - 7 = 2*g. Let j = q + -4. Let k(u) = 3*u**3 + 9*u. Let h(z) = j*k(z) - 6*t(z). Factor h(c).
-3*(c - 1)**2*(c + 2)
Let c(w) be the first derivative of -5/2*w**2 + 5*w + 5/4*w**4 - 5/3*w**3 - 16. Factor c(v).
5*(v - 1)**2*(v + 1)
Let b(m) be the first derivative of -31 - 3/16*m**4 - 63*m**2 + 108*m + 25/4*m**3. Solve b(p) = 0 for p.
1, 12
Let n(m) be the first derivative of 5*m**4/4 - 2825*m**3/3 + 200220*m**2 - 397620*m - 4350. Factor n(d).
5*(d - 282)**2*(d - 1)
Let c(l) be the first derivative of 104 + 0*l + 3/28*l**4 + 0*l**2 + 2/7*l**3. Let c(i) = 0. What is i?
-2, 0
Let o(u) be the third derivative of -u**5/140 - 23*u**4/28 + 53*u**3/2 + 24*u**2 + 11*u. Determine q so that o(q) = 0.
-53, 7
Let k = -6671203/9 - -741251. Find h, given that -88/9 - k*h**2 + 4/9*h**3 + 140/9*h = 0.
1, 2, 11
Let a(o) be the second derivative of o**7/140 - 3*o**6/80 + o**4/4 - 25*o**2 - 2*o - 10. Let q(g) be the first derivative of a(g). Factor q(s).
3*s*(s - 2)**2*(s + 1)/2
Let t(k) be the second derivative of -k**6/180 - 8*k**5/45 - 5*k**4/4 + 18*k**3 + 35*k**2 + 15*k - 4. Let q(m) be the first derivative of t(m). Factor q(c).
-2*(c - 2)*(c + 9)**2/3
Let i(u) = 7*u**2 + 618*u + 94243. Let b(a) = -3*a**2 - 2*a + 3. Let o(k) = -6*b(k) - 3*i(k). Solve o(y) = 0.
-307
Let d(m) be the second derivative of m**7/630 + 4*m**6/15 + 96*m**5/5 - m**4/4 - 82*m. Let p(l) be the third derivative of d(l). Suppose p(h) = 0. What is h?
-24
Determine s, given that -13 - 8 - 707*s**3 - 15 - 58*s**2 - 692*s**3 + 78*s - 2*s**4 + 1417*s**3 = 0.
1, 2, 3
What is d in -103/5*d**2 - 1/5*d**3 + 316/5*d - 212/5 = 0?
-106, 1, 2
Suppose 1242 = 2*l + 16*l. Factor 1315*n**5 - l*n**3 - 99*n**3 - 20*n - 25 + 176*n**2 - 1287*n**5 + 8*n**4 + 1.
4*(n - 1)**3*(n + 3)*(7*n + 2)
Let d(k) be the first derivative of 5*k**3/3 + 25*k**2 - 195*k - 184. Factor d(t).
5*(t - 3)*(t + 13)
Factor 0*m + 2/7*m**4 + 0*m**2 - 2/7*m**5 + 12/7*m**3 + 0.
-2*m**3*(m - 3)*(m + 2)/7
Let d = 4504 - 4498. Let a(n) be the third derivative of 0 + 2/735*n**7 + 0*n + 0*n**3 - 1/105*n**d + 1/105*n**5 + 0*n**4 + 22*n**2. Factor a(p).
4*p**2*(p - 1)**2/7
Solve 316/3*y**2 + 44/3 - 26/3*y**3 - 334/3*y = 0.
2/13, 1, 11
Let y be -7 + ((-63)/(-4) - 8). Let s = 47 + -47. Let -y*n**2 + s + 3*n = 0. What is n?
0, 4
Factor 0*u + 0 + 2/3*u**3 + 5792/3*u**2.
2*u**2*(u + 2896)/3
Let d be (-4*(-30)/(-54))/(14*(-15)/135). Determine y so that -d*y - 2/7*y**2 - 4/7 + 6/7*y**4 + 10/7*y**3 = 0.
-1, -2/3, 1
Let f(o) be the first derivative of o**6/18 + 37*o**5/15 + 122*o**4/3 + 2996*o**3/9 + 1456*o**2 + 3264*o - 1661. Determine h, given that f(h) = 0.
-17, -6, -4
Solve -26*z**3 - z**5 + 18*z**3 + 12*z**4 + 28*z**2 - 13*z**4 - 6*z**4 + 48*z = 0.
-4, -3, -2, 0, 2
Let v(g) be the first derivative of 10 - 20*g - 1/15*g**3 - 2*g**2. Factor v(l).
-(l + 10)**2/5
Let 2 - 33/2*k**3 - 5/6*k**5 + 119/6*k**2 - 32/3*k + 37/6*k**4 = 0. Calculate k.
2/5, 1, 2, 3
Let c(p) be the first derivative of -145 - 17/6*p**2 + 0*p + 1/4*p**4 - 50/9*p**3. Find a such that c(a) = 0.
-1/3, 0, 17
Suppose 8*i + 317 = 13*i + 4*b, 0 = -2*b - 4. Solve -640*r - 1092 + i*r**2 - 508 + 11*r**2 - 2*r**3 = 0 for r.
-2, 20
Factor 3758*o + 3*o**3 - 252*o**2 + 1597*o - 325*o**2 + 295*o**2 + 62424.
3*(o - 51)**2*(o + 8)
Let t = -26 - -30. Suppose -3*l = -t*p - 4, 4*p + 3*l - 24 = -l. Let -p + 14*y**2 - 11*y**2 - y**2 = 0. What is y?
-1, 1
Let f be -4 + -2 - 29/((-493)/238). Let h(v) be the second derivative of 10/3*v**3 + f*v**2 + 1/3*v**4 + 0 - 16*v. What is w in h(w) = 0?
-4, -1
Let a be (22/(-6))/((-2)/