w(c) = z*p(c) + 39*n(c). Factor w(d).
3*d**2*(d - 2)
Let t(b) be the first derivative of -3*b**4/4 + 8*b**3 - 63*b**2/2 + 54*b + 68. Factor t(a).
-3*(a - 3)**2*(a - 2)
Let v(z) = 7*z**3 + 11*z**2 + 30*z - 30. Let n(g) = -6*g**3 - 11*g**2 - 29*g + 31. Let u(i) = -6*n(i) - 5*v(i). Let u(l) = 0. Calculate l.
-6, 1
Determine n so that 11 + 0*n**2 + 2*n**2 - 636*n + 620*n + 13 = 0.
2, 6
Let y(u) = 12*u**2 - 6*u - 6. Let n(x) = -x**2 + x. Suppose -q - 6 = 2*q. Let a be (1/q)/(2/(-4)). Let i(r) = a*y(r) + 15*n(r). Find g such that i(g) = 0.
1, 2
Let h(y) be the third derivative of 1/204*y**6 + 7/204*y**4 + 0 + 7/255*y**5 - 2*y**2 + 0*y - 2/51*y**3. Factor h(z).
2*(z + 1)*(z + 2)*(5*z - 1)/17
Let p(n) = -8*n + 18. Let y be p(2). Let c(a) be the first derivative of 2/15*a**3 + 8/5*a + 5 - 4/5*a**y. Determine q so that c(q) = 0.
2
Suppose -51*m + 3 = 269*m + 3. Determine q so that 2*q**2 - q + 1/4*q**4 + m - 5/4*q**3 = 0.
0, 1, 2
Suppose 4*n - 40 = 28. Let 3*r**5 + 4*r - 17*r**5 + n*r**4 + 18*r**2 + 10*r**3 - 35*r**4 = 0. What is r?
-1, -2/7, 0, 1
Let b(p) be the third derivative of p**6/40 - 2*p**5 + 50*p**4 - 105*p**2. Suppose b(h) = 0. What is h?
0, 20
Suppose -4 = -5*t + 11. Let s be -3 + 39/6 + t/(-6). Factor -1/6*h**s + 0*h + 0 - 1/6*h**2.
-h**2*(h + 1)/6
Let n(w) = -8*w**2 + 8*w - 7. Suppose -3*h + 17 - 2 = 0. Let l(c) = -5*c**2 + 5*c - 5. Let v(d) = h*n(d) - 7*l(d). Factor v(u).
-5*u*(u - 1)
Let q(o) = 5*o**4 - 5*o**3 - 16*o**2 - 3*o - 3. Let d(m) = 44*m**4 - 46*m**3 - 142*m**2 - 26*m - 26. Let p(f) = 6*d(f) - 52*q(f). Factor p(w).
4*w**2*(w - 5)*(w + 1)
Suppose -4*f = -37 - 91. Factor 10*g**5 - 9*g**5 - 51*g**5 + 10*g**4 + 8*g**2 + f*g**3.
-2*g**2*(g - 1)*(5*g + 2)**2
Let s(z) = -z**3 + 34*z**2 + 21*z + 1. Let h(q) = -q**3 - q**2 - q + 2. Let d(o) = 10*h(o) - 2*s(o). Factor d(g).
-2*(g + 1)*(g + 9)*(4*g - 1)
Let o(t) = -4*t - 13. Let q(n) = -8*n - 25. Let g(y) = 9*o(y) - 4*q(y). Let i be g(-5). Factor 6*k**2 + 3*k**3 - 8 + 3*k**2 - i*k + 0 - 3*k**4 + 2.
-3*(k - 2)*(k - 1)*(k + 1)**2
Let y be (-27)/(-189) - (-5)/35. Find t such that 2/7*t**2 + 0 - y*t = 0.
0, 1
Suppose 5*m + m - 108 = 0. Let c be 3/((-45)/(-19)) - (19 - m). What is q in 0 - 2/15*q**5 + 0*q**2 - 2/15*q + c*q**3 + 0*q**4 = 0?
-1, 0, 1
Let p = -1068 - -1068. Let c**2 + 1/2*c - 1/2*c**5 - c**4 + 0*c**3 + p = 0. Calculate c.
-1, 0, 1
Let q(c) = -c**2 + 2. Let m(n) be the first derivative of 84*n**3 - 54*n**2 - 6*n - 23. Let x(u) = m(u) + 9*q(u). Factor x(j).
3*(9*j - 2)**2
Let g(n) be the second derivative of 1/3*n**2 - 21*n + 0 + 0*n**4 + 1/6*n**3 - 1/60*n**5. Let g(x) = 0. Calculate x.
-1, 2
Let h be 0*((-21)/28 + (-1)/4). Let k(n) = -n**2 + 2. Let y be k(h). Factor 3/2*t**y - 3/2*t - 3.
3*(t - 2)*(t + 1)/2
Let x(j) be the second derivative of -j**5/90 - 71*j**4/18 - 5041*j**3/9 - 357911*j**2/9 - 8*j + 4. What is w in x(w) = 0?
-71
Suppose 54*x - 90 = 9*x. Factor 0 + 0*a + 1/4*a**3 + 1/2*a**x - 1/4*a**4.
-a**2*(a - 2)*(a + 1)/4
Let d be (-492)/1107 + 25/36. Suppose 1/4*u**2 + d*u - 3/2 = 0. What is u?
-3, 2
Let k(c) be the third derivative of c**8/30240 + c**7/11340 - c**6/3240 - c**5/540 - c**4/8 - 8*c**2. Let u(p) be the second derivative of k(p). Factor u(a).
2*(a - 1)*(a + 1)**2/9
Find k such that 0 - 8/5*k + 2/5*k**3 + 6/5*k**2 = 0.
-4, 0, 1
Let t(z) = 5*z**4 - 3*z**3 - 13*z**2 + 5. Let x(v) be the first derivative of 2*v**5 - 7*v**4/4 - 9*v**3 + 10*v - 3. Let q(n) = 7*t(n) - 3*x(n). Factor q(f).
5*(f - 1)**2*(f + 1)**2
Let d(p) be the second derivative of p**6/12 + 9*p**5/20 - 83*p**4/24 - 5*p**3 + 9*p**2 + p + 41. Solve d(i) = 0 for i.
-6, -1, 2/5, 3
Let m be (-6)/27 - 9/162*-76. Factor 2/17*b**m + 0*b + 8/17*b**2 - 10/17*b**3 + 0.
2*b**2*(b - 4)*(b - 1)/17
Let f(q) be the third derivative of -3*q**7/490 + q**6/280 + 2*q**2 - 8*q. Factor f(k).
-3*k**3*(3*k - 1)/7
Let k be (-8 + 4)/(-8)*(324/22 + -6). Factor 30/11*y**4 + 0 + 0*y - k*y**3 + 24/11*y**2 - 6/11*y**5.
-6*y**2*(y - 2)**2*(y - 1)/11
Let a(q) be the first derivative of q**4 - 16*q**3/3 + 2*q**2 + 24*q - 243. Let a(l) = 0. Calculate l.
-1, 2, 3
Let a = -37/6 + 649/105. Let w(j) be the second derivative of -4*j - 1/21*j**3 - 1/21*j**4 + 0 - a*j**5 + 0*j**2. Let w(y) = 0. Calculate y.
-1, 0
Let u(j) be the third derivative of 0*j**5 + 1/160*j**6 + 0*j + 0 + 0*j**3 + 0*j**4 + 2*j**2 - 1/448*j**8 + 0*j**7. Find w such that u(w) = 0.
-1, 0, 1
Let h(f) = -f**2 - 6*f - 7. Let a be h(-3). Determine l so that -2*l**2 - 9*l - l - 2*l**2 + a*l = 0.
-2, 0
Factor -49*n**2 - 10 + 166234*n - 56*n**2 - 166119*n.
-5*(n - 1)*(21*n - 2)
Let m(o) = -39*o**2 - 858*o - 12603. Let k(u) = -16*u**2 - 343*u - 5041. Let r(a) = -12*k(a) + 5*m(a). Suppose r(g) = 0. What is g?
-29
Let h(f) be the third derivative of -f**8/392 + 4*f**7/147 - 5*f**6/42 + 2*f**5/7 - 5*f**4/12 + 8*f**3/21 - 3*f**2 + 16*f. Find o, given that h(o) = 0.
1, 8/3
Let q(h) be the second derivative of 0 + 0*h**2 + 40*h + 0*h**3 - 1/12*h**4 - 1/20*h**5. Factor q(v).
-v**2*(v + 1)
Let n(a) be the second derivative of -1/20*a**5 - 35*a + 0 + 18*a**2 - 11/12*a**4 - 4*a**3. Suppose n(b) = 0. What is b?
-6, 1
Let x(y) = -3*y**3 - 9*y**2 + 9*y - 3. Let p(j) = -6*j**3 - 17*j**2 + 17*j - 5. Let h(u) = -6*p(u) + 11*x(u). Find b, given that h(b) = 0.
-1, 1
Let h(m) = 4*m**2 + 15*m + 2*m**2 - 4*m**2 + 3*m**2. Let l(o) = 4*o**2 + 15*o - 1. Let i(z) = 6*h(z) - 5*l(z). Factor i(y).
5*(y + 1)*(2*y + 1)
Let v(m) be the third derivative of -6*m**2 - 1/8*m**6 + 0 + 0*m + 1/2*m**3 + 11/20*m**5 - 7/8*m**4. Determine b, given that v(b) = 0.
1/5, 1
Let n(c) be the second derivative of 0*c**3 + 3 + 4*c + 5/78*c**4 - 1/195*c**6 + 0*c**5 - 4/13*c**2. Determine f, given that n(f) = 0.
-2, -1, 1, 2
Let u be -1 - -3 - 9 - 11169/(-1095). Solve -6/5 + u*z + 6*z**2 + 8/5*z**3 = 0.
-3, -1, 1/4
Let c = -2566/5 - -5147/10. Determine f, given that -2*f**2 + 0*f**3 - 1/2*f**5 + c*f**4 + 0 + 0*f = 0.
-1, 0, 2
Suppose 0 = -2*n + 58 - 48. Suppose -2*y = 3*a + 7, -3*y - 7 = n*a + 3. Suppose -a + 5/2*w**2 + 3/2*w = 0. What is w?
-1, 2/5
Let x(v) be the second derivative of 29*v - 1/50*v**5 + 0*v**2 - 1/45*v**3 + 0 - 1/30*v**4 - 1/225*v**6. Suppose x(w) = 0. What is w?
-1, 0
Let d(k) = k**2 - 5*k - 3. Let l(j) = 2*j**2 + 1 - 2 - j**2 - 1 - 4*j. Let b be 3/1 + 2 + -3. Let m(p) = b*d(p) - 3*l(p). Factor m(y).
-y*(y - 2)
Suppose -7 = -8*p + 9. Factor 13*s**4 - 5*s**4 - 2*s**4 - p*s**4.
4*s**4
Suppose -21*t - 105 = -26*t. Let m be ((-486)/t)/(-6) - 3. What is n in 15/7*n**3 + m*n + 0 + 3*n**2 = 0?
-1, -2/5, 0
Let v = 24 + -16. Factor -316*g**3 + 280*g**3 + 30*g**2 - 2*g**2 + v*g.
-4*g*(g - 1)*(9*g + 2)
Factor 26240*w**2 + 4*w**4 - 26244 + 140*w**3 + 96*w**3 + 412*w**3 - 648*w.
4*(w - 1)*(w + 1)*(w + 81)**2
Let a(h) be the second derivative of 2*h**6/15 + h**5/5 - h**4 - 2*h**3/3 + 4*h**2 - 122*h. Factor a(y).
4*(y - 1)**2*(y + 1)*(y + 2)
Let l(z) be the second derivative of -z**6/5 + 69*z**5/40 - 15*z**4/4 - 9*z**3/4 + 304*z. Find a such that l(a) = 0.
-1/4, 0, 3
Let f(q) be the first derivative of -4*q**3/3 + 272*q**2 + 548*q - 636. Factor f(a).
-4*(a - 137)*(a + 1)
Suppose -5*p + 40 = 188*c - 183*c, 4 = 2*c - p. Determine o so that 4/9 - 2/9*o + 4/9*o**3 - 2/9*o**5 - 8/9*o**2 + 4/9*o**c = 0.
-1, 1, 2
Let u(b) = 2*b**2 + 3*b + 1. Let z be u(-2). Factor -8 - 5*o**2 + 3*o - 5*o**z + 28 + 17*o.
-5*(o - 2)*(o + 1)*(o + 2)
Find m such that 3/5*m**3 - 36/5 + 12*m - 27/5*m**2 = 0.
1, 2, 6
Let m(w) be the second derivative of 3*w**5/100 - 13*w**4/60 - 14*w**3/15 - 6*w**2/5 + 324*w - 1. Suppose m(d) = 0. What is d?
-1, -2/3, 6
Let i(x) be the first derivative of 4/3*x**3 - 6*x**2 + 0*x + 9. Factor i(w).
4*w*(w - 3)
Let c = 63 + -69. Let h be (-22)/(-8) + c/(-48)*-2. Factor h*w - 1/2*w**3 + 1/2*w**4 - 3/2*w**2 - 1.
(w - 1)**3*(w + 2)/2
Let w(p) be the first derivative of -p**4/9 - 4*p**3/9 + 8*p**2/9 + 40. Solve w(g) = 0.
-4, 0, 1
Suppose x = -5*o + 13, -o + 4*x = o - 14. Solve -9*l + l + o*l + 2*l - 3*l**2 = 0 for l.
-1, 0
Solve -3*b**2 - 872*b**3 - 18*b - 866*b**3 + 1741*b**3 = 0.
-2, 0, 3
Suppose 17*c + 20 = 21*c. Suppose -4*h + c = -7. Factor 2/13*u**2 + 2/13*u - 2/13 - 2/13*u**h.
-2*(u - 1)**2*(u + 1)/13
Let t(o) = -2*o**2 - 46*o - 194. Let d(s) = -4*s**2 - 91*s - 390. Let u(q) = 2*d(q) - 5*t(q). Find y, given that u(y) 