+ 2)**2*(4*m - 1)/9
Let w = 61/207 + -403/2070. Determine n so that -1/2*n + 1/10*n**3 + w*n**2 + 3/10 = 0.
-3, 1
Let z = 6169/2 - 3082. Factor z*b**3 - 8*b**2 + 25/2*b**4 + 0 + 2*b.
b*(b + 1)*(5*b - 2)**2/2
Let k(g) be the third derivative of g**8/336 + g**7/42 + 7*g**6/120 - g**5/60 - g**4/3 - 2*g**3/3 - 6*g**2. Determine p so that k(p) = 0.
-2, -1, 1
Factor -405/4 + 621/4*m - 189/2*m**2 + 57/2*m**3 + 1/4*m**5 - 17/4*m**4.
(m - 5)*(m - 3)**4/4
Let o be (-25)/30*(-6)/10. Factor o*w**2 - 1/2*w + 0.
w*(w - 1)/2
Let p = -4787/10 - -478. Let z = -11/30 - p. Factor i**2 + z*i**3 + 2/3 - 1/3*i**4 - 5/3*i.
-(i - 1)**3*(i + 2)/3
Determine n so that -4*n**3 - 3*n**5 - 14*n**4 - 42*n**2 - 5*n**3 + 38*n**4 - 6*n**3 = 0.
-1, 0, 2, 7
Let j be 9 + (-2)/6*0. Find r, given that 6*r**2 - r**4 - 4 + 36*r - 2*r**4 - j*r**3 + 28 = 0.
-2, -1, 2
Let f(t) = -5*t + t**3 + 4*t - 4*t - 9 - 6*t**2. Let x be f(7). Factor 6*w**2 + 4*w**4 + 3*w - 10*w**4 - 5*w**5 + 2*w**x.
-3*w*(w - 1)*(w + 1)**3
Let g(b) be the second derivative of 0 - 1/54*b**4 + 3*b + 1/9*b**3 - 2/9*b**2. Factor g(f).
-2*(f - 2)*(f - 1)/9
Let b(f) = 4*f**2 + 132*f + 1156. Let v(y) be the second derivative of y**3/6 - 44*y. Let x(t) = -b(t) - 4*v(t). Determine r, given that x(r) = 0.
-17
Let t(s) be the third derivative of -s**5/30 + 53*s**4/2 - 8427*s**3 + 399*s**2. Factor t(w).
-2*(w - 159)**2
Let k(t) = 3*t**2 - 11*t. Let c be k(5). Suppose -2*g - 8 = -d, d + 5*g + c = -0*g. Factor d*h + 0 - 1/4*h**2.
-h**2/4
Let z = 1115/6 - 61/3. Let d = -161 + z. Factor -3 - 3/2*a**2 + d*a.
-3*(a - 2)*(a - 1)/2
Factor -39/2*d**2 - 1/2*d**3 - 132*d + 1210.
-(d - 5)*(d + 22)**2/2
Let t(z) be the second derivative of z**8/2240 + z**7/140 - 7*z**6/240 - z**4/3 - z**2/2 + 3*z - 3. Let a(j) be the third derivative of t(j). Factor a(q).
3*q*(q - 1)*(q + 7)
Let n(s) be the second derivative of 5*s**7/42 - 3*s**5/4 + 5*s**4/6 - 31*s. Solve n(k) = 0 for k.
-2, 0, 1
Suppose -5*b = 8*b - 65. Suppose 2*w + 7 = 17. Factor -9*v**3 + 2*v**4 + 3*v**2 - 3*v**w + 0*v**5 + 0*v**b + 7*v**4.
-3*v**2*(v - 1)**3
Let q(x) be the second derivative of 1/18*x**3 + 0 + x**2 - 1/36*x**4 + 7*x. Find f such that q(f) = 0.
-2, 3
Factor 345/2*y + 57 + 3/2*y**4 + 123/2*y**3 + 351/2*y**2.
3*(y + 1)**3*(y + 38)/2
Let y be (-18)/42 + (-118)/(-14). Let h = y + -5. Factor 0*u - u**3 + 2*u**3 + h*u - 4*u**3.
-3*u*(u - 1)*(u + 1)
Let p(d) = -16*d**5 - 48*d**4 - 80*d**3 - 67*d**2 - 19*d. Let k(j) = -5*j**5 - 16*j**4 - 27*j**3 - 22*j**2 - 6*j. Let l(z) = 14*k(z) - 4*p(z). Solve l(r) = 0.
-2, -1, -1/3, 0
Let o(i) be the first derivative of i**4/20 - i**3/15 - 3*i**2/5 + 43. Suppose o(g) = 0. Calculate g.
-2, 0, 3
Let q(p) be the second derivative of -p**5/100 + p**4/10 - 2*p**3/5 - 10*p**2 - 16*p. Let n(g) be the first derivative of q(g). Factor n(f).
-3*(f - 2)**2/5
Let j(s) = -s + 3. Let v(y) = -3*y**2 - 54*y - 339. Let i(q) = 18*j(q) + v(q). Factor i(o).
-3*(o + 5)*(o + 19)
Let x(k) = k**2 - 5 + 15*k - 13*k + 3*k - 3*k**3. Let g(h) = -h**3 + 2*h - 2. Let s(t) = 10*g(t) - 4*x(t). Suppose s(w) = 0. What is w?
0, 2
Let u be 6/(-4)*(-90)/9. Let w = u + -13. Suppose 2*a - 8*a**2 + 13*a**w + 7*a**3 - 3*a**3 + a**4 = 0. Calculate a.
-2, -1, 0
Let n be (-9)/5*(-9 - 16/(-4)). Suppose -n*w - 3*w = -24. Let -2/9*x**w + 4/9*x + 0 = 0. Calculate x.
0, 2
Let v(s) be the second derivative of -s**5/20 - 13*s**4/12 - 8*s**3 - 18*s**2 - 6*s - 2. Find q such that v(q) = 0.
-6, -1
Suppose -4*u - 2*x + 36 = 0, 3*u - 32 = -u - 3*x. Let h(o) be the third derivative of -2/15*o**3 + u*o**2 + 0 + 2/75*o**5 - 7/60*o**4 + 0*o. Factor h(a).
2*(a - 2)*(4*a + 1)/5
Let f(a) be the first derivative of a**4/2 - 2*a**3 + 8*a + 69. Factor f(d).
2*(d - 2)**2*(d + 1)
Let m(q) be the third derivative of q**6/180 + q**5/45 - 7*q**4/36 + 4*q**3/9 - q**2 - 26. Let m(i) = 0. What is i?
-4, 1
Let n be 1*(3 + 0) + -9. Let d(j) = -2*j - 7. Let p be d(n). Suppose 6*a**4 - p*a**4 - a**5 + 0*a**5 = 0. What is a?
0, 1
Let i(p) be the second derivative of -p**5/5 + p**4/9 + 44*p**3/9 - 16*p**2 - 33*p. Factor i(q).
-4*(q - 2)*(q + 3)*(3*q - 4)/3
Let b(i) be the third derivative of 5/6*i**4 + 21*i**2 - 1/5*i**5 - 1/30*i**6 + 0 + 2/105*i**7 + 0*i - 4/3*i**3. Factor b(c).
4*(c - 1)**3*(c + 2)
Let h(l) be the second derivative of -7/30*l**6 + 0*l**2 + 61/40*l**5 + 1/84*l**7 + 3*l**3 - 7/2*l**4 + 0 + 33*l. Solve h(u) = 0.
0, 1, 6
Suppose 2*v - 21 = -v + 5*i, 4*i + 22 = 5*v. Let w be (-54)/(-42) + 1 - (-6)/(-21). Find b such that -w + 1/2*b**5 + 7/2*b**v + 0*b - 1/2*b**3 - 3/2*b**4 = 0.
-1, 1, 2
Let q(p) be the first derivative of p**8/7560 + p**7/3780 - p**6/1620 - p**5/540 - 3*p**3 - 11. Let m(c) be the third derivative of q(c). Solve m(s) = 0.
-1, 0, 1
Let l(f) = 8*f**4 + 5*f**3 + 6*f**2 - f + 5. Let p(t) = 11*t**4 + 7*t**3 + 9*t**2 - t + 7. Let g(m) = -7*l(m) + 5*p(m). Factor g(h).
-h*(h - 2)*(h + 1)**2
Let w(t) be the first derivative of 4*t**5/5 + 8*t**4 + 68*t**3/3 + 20*t**2 - 293. What is s in w(s) = 0?
-5, -2, -1, 0
Let k(i) be the first derivative of -i**8/9240 - i**7/4620 + i**6/396 - i**5/220 - 2*i**3/3 + 11. Let t(j) be the third derivative of k(j). Factor t(p).
-2*p*(p - 1)**2*(p + 3)/11
Let r(a) be the second derivative of -1/150*a**6 + 1/60*a**4 + 0 - 1/30*a**3 - 8*a + 1/100*a**5 + 0*a**2. Factor r(m).
-m*(m - 1)**2*(m + 1)/5
Let p(f) be the second derivative of f**9/3024 + f**8/224 + f**7/56 + f**6/36 + 19*f**4/6 - 2*f. Let q(c) be the third derivative of p(c). Factor q(z).
5*z*(z + 1)**2*(z + 4)
Suppose -3*g + 74 = 2*t - 0*g, 0 = -t - 2*g + 36. Let j be ((-3 - -1) + t/25)*-1. Solve 2/5 - 2/5*o**2 - 2/5*o + j*o**3 = 0 for o.
-1, 1
Let v(x) = -x**4 - x**3 - 17*x**2 + 11*x + 52. Let r(s) = -6*s**4 - 5*s**3 - 86*s**2 + 56*s + 259. Let z(b) = 2*r(b) - 11*v(b). Factor z(o).
-(o - 3)**2*(o + 2)*(o + 3)
Let j(r) = 3*r - 12. Suppose t - 3 = -p - 1, 4*t - 5 = -5*p. Let b be j(t). Factor 2*f - b*f - 5*f - 3*f**2.
-3*f*(f + 2)
Let m(j) be the first derivative of 0*j**2 + 0*j + 5*j**4 - j**5 - 5 - 20/3*j**3. Solve m(x) = 0 for x.
0, 2
Let l = 314 - 21979/70. Let b(a) be the second derivative of -1/42*a**4 + 0 + 0*a**3 - l*a**5 - 2*a + 0*a**2. Factor b(r).
-2*r**2*(r + 1)/7
Let a(g) be the third derivative of 0*g**4 + 0*g**5 + 0*g**3 + 0*g - 1/945*g**7 + 0*g**6 - 8*g**2 + 0. Factor a(w).
-2*w**4/9
Suppose 117 = -29*u + 204. Let a(n) be the second derivative of 0 - 2*n**u + 0*n**2 - 1/5*n**6 + n**4 - 1/14*n**7 + 3*n + 9/20*n**5. Factor a(s).
-3*s*(s - 1)**2*(s + 2)**2
Suppose 0 = 19*a - 21*a + 20. Let n be 3/(255/a)*1. Let 0 + 2/17*k + n*k**2 = 0. What is k?
-1, 0
Let x(o) = 11*o + 34. Let g(l) = l - 1. Let t(v) = -5*g(v) + x(v). Let r be t(-6). Let 2/5*m**2 - 1/5*m**r - 2/5 + 1/5*m = 0. Calculate m.
-1, 1, 2
Factor -11836 + 13*x**2 - 1120*x - 17*x**2 - 3576 - 57222 - 5766.
-4*(x + 140)**2
Let o(b) be the first derivative of -b**3 + 15*b**2/2 + 18*b - 63. Factor o(f).
-3*(f - 6)*(f + 1)
Suppose 4 = 8*z - 6*z. Factor -2*h - z*h - 5*h**2 - 2*h**3 + 6*h**3 - 3*h**2 + 8.
4*(h - 2)*(h - 1)*(h + 1)
Let i(g) = -g - 4. Let c be i(-4). Let f(j) be the third derivative of -3*j**2 - 1/60*j**4 + 1/300*j**6 + 0*j + 0 + 0*j**3 + c*j**5. Factor f(o).
2*o*(o - 1)*(o + 1)/5
Let d = 1242 - 1240. Solve -1/2 - 3/4*m**d - m**3 + 9/4*m = 0 for m.
-2, 1/4, 1
Let k(v) be the third derivative of -1/15*v**4 + 0*v**3 + 1/150*v**5 + 0 - 35*v**2 + 0*v. What is u in k(u) = 0?
0, 4
Let o(i) be the first derivative of -i**6/1080 + i**5/540 + 13*i**2/2 + 15. Let d(j) be the second derivative of o(j). Let d(l) = 0. Calculate l.
0, 1
Let v(y) be the first derivative of -y**6/14 - 3*y**5/7 - 3*y**4/4 - 3*y**3/7 - 135. Find r such that v(r) = 0.
-3, -1, 0
Let f = -15 + 21. Let t(z) = -4*z - 4*z**2 - 4 - 3*z**2 - 6*z. Let i(b) = -13*b**2 - 19*b - 8. Let n(o) = f*i(o) - 11*t(o). Solve n(p) = 0 for p.
-2
Factor 666/5*l**2 + 2904/5 - 3*l**3 - 7524/5*l.
-3*(l - 22)**2*(5*l - 2)/5
Let x be (-3)/(-300)*(-20)/(-8). Let b(y) be the second derivative of 0 - 1/12*y**4 + 0*y**2 + x*y**5 + 1/12*y**3 - y. Factor b(z).
z*(z - 1)**2/2
Let f be (20 - (-5200)/(-290)) + 6/(-87). Suppose -25/3*q**3 + 65/3*q**f + 130/3*q + 40/3 = 0. What is q?
-1, -2/5, 4
Let k(a) = -8*a**2 + 87*a - 267. Let s(v) = -17*v**2 + 168*v - 533. Let w(l) = 7*k(l) - 3*s(l). Determine q