27/2*h**2 - 3*h**4 + 0 + 9*h**3. Factor s(l).
-(l - 3)**3*(l - 1)
Let z = -1616 - -1619. Factor 0*y + 16/5*y**2 + 0 + 4/5*y**z.
4*y**2*(y + 4)/5
Let r(l) = l**3 - 24*l**2 + 23*l + 11. Let m be r(23). Suppose 0 = 4*o + p - m, 0*o + 3*o + 2*p = 12. Factor -1/4*b + 0 + 0*b**o + 1/4*b**3.
b*(b - 1)*(b + 1)/4
Let m be (0 - 36/(-336))*8. Suppose -m*z**2 - 12/7 - 3*z + 3/7*z**3 = 0. What is z?
-1, 4
Let a(r) be the first derivative of -2*r**3/15 - 54*r**2/5 - 1458*r/5 + 26. Factor a(l).
-2*(l + 27)**2/5
Let t(g) = g**2 + g + 1. Let v be 12/(-15) + 2*18/20. Let z(m) = 2*m**3 + 25*m**2 - 59*m + 29. Let f(q) = v*z(q) + t(q). Suppose f(n) = 0. What is n?
-15, 1
Let a(k) be the third derivative of 0*k**4 + 0 - 1/100*k**5 + 0*k + 0*k**3 + 1/50*k**6 - 2*k**2. What is l in a(l) = 0?
0, 1/4
Suppose -5*x + 2 + 14 = 16. Factor 0 + x*n - 1/2*n**2.
-n**2/2
Factor 0 - 33/2*u - 3/2*u**2.
-3*u*(u + 11)/2
Let s(b) be the first derivative of 5*b**6/6 + 9*b**5 - 55*b**4/2 + 10*b**3/3 + 105*b**2/2 - 55*b - 538. Factor s(p).
5*(p - 1)**3*(p + 1)*(p + 11)
Suppose 0 + 0*p + 3/5*p**4 + 42/5*p**2 + 9*p**3 = 0. What is p?
-14, -1, 0
Let g(t) be the first derivative of -2/3*t**3 + 1/2*t**2 - 10 + 2*t - 1/4*t**4. Factor g(h).
-(h - 1)*(h + 1)*(h + 2)
Let c(i) be the second derivative of i**4/18 + 20*i**3/3 + 300*i**2 + 9*i + 1. Determine y so that c(y) = 0.
-30
Let l(k) be the first derivative of k**2/2 - 2*k + 1. Let f be l(5). Determine v, given that -3*v**2 + f + 3*v**2 - 3*v**2 + 0*v**2 = 0.
-1, 1
Let p(n) = 3*n**2 - 46*n + 31. Let r(t) = -12*t**2 + 183*t - 126. Let l(j) = 15*p(j) + 4*r(j). Solve l(u) = 0 for u.
1, 13
Let n be 57/(-15) - (-9 + 4). Factor 16/5*i**2 - 6/5*i**3 + n*i + 0.
-2*i*(i - 3)*(3*i + 1)/5
Let z(j) = j - 1. Let n(o) = -2*o + 2. Let x(d) = -3*n(d) - 7*z(d). Let q(m) = 5*m**2 + m - 6. Let b = 114 + -118. Let g(s) = b*x(s) + q(s). Factor g(a).
5*(a - 1)*(a + 2)
Let v = 16939/70 - -298/35. Let h = v - 247. Determine d, given that -5/2*d**3 + 4*d - h*d**2 + 2 = 0.
-2, -2/5, 1
Let j(q) = -2*q**2 + 376*q + 17302. Let x(w) = 3*w**2 - 751*w - 34603. Let p(i) = 7*j(i) + 4*x(i). Factor p(m).
-2*(m + 93)**2
Let m(r) = 4*r**2 - 4*r. Let l(f) = 1 - 100*f**2 + f + 53*f**2 + 48*f**2. Let j(h) = 8*l(h) - m(h). Factor j(o).
4*(o + 1)*(o + 2)
Solve -2*h**3 - 10 + 20*h - 6 + 3*h**2 - 4*h**2 - h**2 = 0.
-4, 1, 2
Let u = 24744/5 + -4942. Suppose -3*d - 2*d = 0. Suppose d + 4/5*a - 22*a**4 - u*a**2 + 98/5*a**3 + 42/5*a**5 = 0. Calculate a.
0, 2/7, 1/3, 1
Let o = 109 - 104. Find r such that 62*r**4 - 52*r**4 + 3*r - 4*r**2 + 3*r**o - 5*r**3 - 7*r + 12*r**3 = 0.
-2, -1, 0, 2/3
Let b(d) = -33*d**3 - 30*d**2 + 498*d - 1134. Let r(y) = 2*y**3 - 2*y**2 - y - 1. Let i(s) = b(s) + 18*r(s). Find a, given that i(a) = 0.
6, 8
Let b(a) be the second derivative of -a**4/8 - 55*a**3/12 + 19*a**2/2 - 9*a - 20. Factor b(l).
-(l + 19)*(3*l - 2)/2
Solve -115*a + 56901 + 370*a - 28073 + 1395*a + 107297 + 5*a**2 = 0.
-165
Let p = -15 - -17. Determine g, given that -6*g**2 + 18*g**p - 2*g - 10*g - 3*g**3 = 0.
0, 2
Let w = -1324 - -6636/5. Factor -14/5*i**2 + 32/5 - w*i - 2/5*i**3.
-2*(i - 1)*(i + 4)**2/5
Let g(b) be the first derivative of 81*b**4/34 + 438*b**3/17 + 1456*b**2/17 + 1960*b/17 - 277. Let g(t) = 0. Calculate t.
-5, -14/9
Suppose 0*l = -l. Let h be (-45)/(-9) - (l + 2). Factor -g**3 + 0*g**h + 3*g**3 + g**3 - 3*g**4.
-3*g**3*(g - 1)
Factor -64/5 - 170*c**3 - 472/5*c + 25*c**4 - 228*c**2.
(c - 8)*(5*c + 2)**3/5
Let q(y) be the third derivative of -y**6/840 - 13*y**5/70 - 169*y**4/14 - 8788*y**3/21 - 78*y**2 + 1. Let q(m) = 0. Calculate m.
-26
Suppose 0 = 3*v + 1038 - 1044. Let n(r) be the second derivative of -2*r**2 - 4/5*r**5 - 8/3*r**3 - v*r**4 - 2/15*r**6 - 8*r + 0. Factor n(s).
-4*(s + 1)**4
Let 0 + 390/7*o**2 - 54/7*o**3 - 850/7*o + 2/7*o**4 = 0. What is o?
0, 5, 17
Let x(z) = -z**2 + 14*z - 38. Let b be x(9). Suppose b = j + 5*i, 7 = -j + 6*j - 3*i. Factor 1/3*w**3 + 1/3*w**4 + 2/3 - 1/3*w - w**j.
(w - 1)**2*(w + 1)*(w + 2)/3
Let z be ((-58)/(-28) - (-20)/(-35))/1. Suppose 0*j**3 - 3/2*j**5 + 0*j + 0 + 0*j**2 + z*j**4 = 0. Calculate j.
0, 1
Suppose -50*q = -4 - 30 - 66. Factor 1/3*j**5 + 0 + 4*j**2 + 13/3*j**3 + q*j**4 + 4/3*j.
j*(j + 1)**2*(j + 2)**2/3
Factor 69/4*f + 3/2 - 87*f**2 + 93*f**3.
3*(2*f - 1)**2*(31*f + 2)/4
Let c(n) be the second derivative of 1/66*n**4 - 2/11*n**2 - 1/33*n**3 + 36*n + 0. Factor c(z).
2*(z - 2)*(z + 1)/11
Suppose 4*u + 10 = -2*d + 52, -5*u + 54 = 3*d. Let n be 3/u*2*2. Solve 0 - z**2 + 5/3*z**3 - n*z**5 + z**4 - 1/3*z = 0 for z.
-1, -1/4, 0, 1
Let b be 38/190 + 2/(-10)*1. Suppose 4*y + 74 - 82 = b. What is p in 75/4*p**3 + 3/4 - 27/4*p + 45/4*p**y = 0?
-1, 1/5
Suppose -106*l + 357 - 104*l + 129 + l**2 + 4*l**2 + 99 = 0. Calculate l.
3, 39
Let h(b) = 9*b**3 + 260*b**2 + 251*b. Let p(k) = -125*k**3 - 3640*k**2 - 3515*k. Let j(f) = 55*h(f) + 4*p(f). Determine y so that j(y) = 0.
-51, -1, 0
Suppose -10 = 7*z - 31. Suppose -3 = -z*b + 2*b. What is n in -12/5*n**3 - b*n**2 + 6/5*n + 0 + 9/5*n**4 = 0?
-1, 0, 1/3, 2
Factor 3/2*z**4 - 1/2 + 3/2*z - 1/2*z**5 - z**2 - z**3.
-(z - 1)**4*(z + 1)/2
Let j(o) be the first derivative of -o**8/336 - o**7/840 - 4*o**3/3 - 3. Let f(r) be the third derivative of j(r). Factor f(g).
-g**3*(5*g + 1)
Let u(c) be the second derivative of 0 - 2*c**2 + 15*c + 2/3*c**4 - 7/3*c**3. Determine q, given that u(q) = 0.
-1/4, 2
Let d = -4 + 6. Let t be 3 - 3/30*25. Determine c so that -1/2*c**3 - 1/2 + t*c + 1/2*c**d = 0.
-1, 1
Let t(k) be the third derivative of 23*k**2 + 0 + 0*k**4 + 0*k**3 - 1/120*k**5 + 0*k. Suppose t(d) = 0. What is d?
0
Let f(j) = -3*j**2 + 12*j - 18. Let s(g) = -2*g + 3. Let i(q) = f(q) + 6*s(q). Suppose i(x) = 0. Calculate x.
0
Let q(w) be the first derivative of w**3/12 - 11*w**2/2 - 23*w - 85. Factor q(z).
(z - 46)*(z + 2)/4
Suppose 8*m = -48 + 96. Let a(y) be the first derivative of m + 1/3*y**2 + 1/18*y**4 - 2/9*y - 2/9*y**3. Determine s, given that a(s) = 0.
1
Factor -158/13*y + 14/13*y**2 + 44/13.
2*(y - 11)*(7*y - 2)/13
Suppose 2*a = 4 - 12, 3*a = h - 16. Suppose h*y = 16, 5*u - 5*y + y = 4. Factor -m + m + u*m**3 - 4*m.
4*m*(m - 1)*(m + 1)
Let q(i) be the third derivative of 1/1680*i**7 + 0*i + 29*i**2 + 0*i**6 + 1/96*i**4 + 0 - 1/160*i**5 + 0*i**3. Factor q(g).
g*(g - 1)**2*(g + 2)/8
Let a(g) be the third derivative of g**6/40 - 17*g**5/30 - 25*g**4/24 + 2*g**3 + 2*g**2 - 89. Find i, given that a(i) = 0.
-1, 1/3, 12
Let t(x) be the first derivative of 1/15*x**3 + x + 3/5*x**2 + 22. Factor t(v).
(v + 1)*(v + 5)/5
Let x(k) = -41*k - 5327. Let i be x(-130). Factor 14*j**i + 18*j**2 + 30/7*j + 2/7.
2*(j + 1)*(7*j + 1)**2/7
Suppose 16 = -642*l + 650*l. Let t(h) be the first derivative of 0*h - 1/4*h**l + 1/6*h**3 + 7. Factor t(y).
y*(y - 1)/2
Let x(y) be the second derivative of -7*y**6/180 - 11*y**5/40 + 13*y**4/18 - y**3/3 - 181*y. Factor x(c).
-c*(c - 1)*(c + 6)*(7*c - 2)/6
Determine w so that -32/7 - 60/7*w - 4*w**2 = 0.
-8/7, -1
Find g such that 6*g - 28/3 - 2/3*g**2 = 0.
2, 7
Let l(i) be the second derivative of i**6/15 - 7*i**5/6 + 157*i**4/54 - 71*i**3/27 + 10*i**2/9 - 19*i. Solve l(x) = 0 for x.
1/3, 1, 10
Find s, given that 0*s - 44/9*s**5 + 8/3*s**4 + 0 + 44/9*s**3 - 8/3*s**2 = 0.
-1, 0, 6/11, 1
Let y(h) = -7*h**2 - 43*h + 4. Let a(j) = -36*j**2 - 219*j + 21. Let z(q) = -4*a(q) + 21*y(q). Factor z(b).
-3*b*(b + 9)
Let o(k) = 8*k**5 + 16*k**4 + 24*k**3 + 4*k**2 + 4. Let c(s) = -7*s**5 - 16*s**4 - 23*s**3 - 5*s**2 - 3. Let q(v) = 4*c(v) + 3*o(v). Factor q(f).
-4*f**2*(f + 1)**2*(f + 2)
Let r = 90 - 628/7. Let w be 16/5 + 4/(-20). Factor -r + 2/7*j**2 + 2/7*j - 2/7*j**w.
-2*(j - 1)**2*(j + 1)/7
Let h(w) be the second derivative of -6*w + 4/21*w**3 + 0*w**2 + 1/70*w**5 + 0 + 2/21*w**4. Factor h(v).
2*v*(v + 2)**2/7
Let t(w) be the first derivative of -1/80*w**5 - 1/30*w**6 - 1 + 0*w**2 + 1/24*w**3 - w + 1/12*w**4. Let i(l) be the first derivative of t(l). Factor i(d).
-d*(d - 1)*(d + 1)*(4*d + 1)/4
Let g(m) = 8*m**2 + 20*m + 3. Let u be g(-3). Let o be -10 + u + (-2)/(2 + 0). Suppose 4/3*t**2 + 32*t**o + 0 + 0*t + 12*t**3 + 64/3*t**5 = 0. Calculate t.
-1, -1/4, 0
Let r(w) = 5*w**2 - 20*w - 40. Let f(s) = 4*s**2 - 19*s - 40. Let a(b) = -4*f(b) + 3*r(b). Let i be a(18). Factor 4/3*m**3 + 4/3*m*