(r) = n*t(r) + c(r). Factor h(k).
-k**2*(k - 1)
Let b(r) = r**3 - 12*r**2 + 2. Let f be b(12). Suppose v + 2*j = 4 + 6, -5*v = -3*j + f. Suppose 8*y**2 - 9*y**v - 3*y + 4*y**2 = 0. Calculate y.
0, 1
Let -4/3*h**2 - 1728 - 96*h = 0. What is h?
-36
Let k(q) = -2*q**4 + 10*q**2 - 6*q - 2. Let g(v) = -v**4 + 9*v**2 - 5*v - 3. Let b(m) = -2*g(m) + 3*k(m). Solve b(o) = 0 for o.
-2, 0, 1
Let l(v) be the first derivative of -v**3/3 - 3*v**2 + 7*v - 6. Let b be l(-7). Let -3*c**2 - 6*c**2 - 3 + 3*c**3 + b*c**3 + 14*c - 5*c = 0. What is c?
1
Factor 2*t**3 + 90*t + 270 + 61*t + 90*t**2 + 185*t + 135 - 77.
2*(t + 2)**2*(t + 41)
Let b(k) be the first derivative of -9*k**4/4 - k**3 + 3*k**2 + 136. Factor b(g).
-3*g*(g + 1)*(3*g - 2)
Let b(k) = -3*k + 18. Let j(q) = -2*q + 9. Let l be j(2). Let o be b(l). What is t in -27/2*t - 3*t**2 + o + 27/2*t**3 = 0?
-1, 2/9, 1
Factor 2/9*q - 2*q**3 + 0 + 2/9*q**2 - 8/9*q**5 + 22/9*q**4.
-2*q*(q - 1)**3*(4*q + 1)/9
Let i(k) be the first derivative of k**3/24 - 37*k**2/8 + 1369*k/8 + 89. Factor i(f).
(f - 37)**2/8
Let f(o) = 2*o**5 - o**4 - o**2 + o + 1. Let h(x) = x**5 + 4*x**4 + x**3 - 6*x**2 + x + 1. Let v(p) = 5*f(p) - 5*h(p). Factor v(n).
5*n**2*(n - 5)*(n - 1)*(n + 1)
Let w(z) = -20*z**4 - 145*z**3 - 20*z**2 - 15*z + 30. Let g(l) = -3*l**3 + l**2 + 1. Let x(j) = 30*g(j) - w(j). Factor x(m).
5*m*(m + 1)**2*(4*m + 3)
Suppose 1/4*p**2 - 13*p + 169 = 0. Calculate p.
26
Let p(l) be the second derivative of -l**7/42 - l**6/15 + l**5/4 + l**4/2 + 8*l + 4. Factor p(q).
-q**2*(q - 2)*(q + 1)*(q + 3)
Let v = 748 + -746. Factor -1/9*b - 2/9 + 1/9*b**v.
(b - 2)*(b + 1)/9
Let w(g) be the first derivative of g**7/2940 - g**5/420 + 11*g**3/3 + 4. Let l(b) be the third derivative of w(b). Factor l(p).
2*p*(p - 1)*(p + 1)/7
Let d = 727/1251 + -19/139. Solve 8/9*p + 2/9*p**5 - 2/3*p**3 + d*p**4 + 0 - 8/9*p**2 = 0 for p.
-2, 0, 1
Let m(a) be the third derivative of -a**6/360 + a**5/10 - 11*a**4/24 - 13*a**3/6 - 18*a**2 - 2*a. Let g(d) be the first derivative of m(d). Factor g(i).
-(i - 11)*(i - 1)
Let h(n) be the third derivative of n**6/480 + n**5/80 - n**4/24 - 14*n**2. Determine l, given that h(l) = 0.
-4, 0, 1
Suppose -9*a = 6*a - 14*a. Let b(r) be the third derivative of -8*r**2 + 0 + 1/20*r**6 - 1/70*r**7 + a*r + 0*r**3 - 1/4*r**4 + 1/20*r**5. Factor b(z).
-3*z*(z - 2)*(z - 1)*(z + 1)
Let d(y) = -y**3 - 2*y**2 + y + 2. Let k(r) = 4*r**3 + 9*r**2 - 4*r - 9. Let a(u) = -9*d(u) - 2*k(u). Factor a(t).
t*(t - 1)*(t + 1)
Factor 2*p**3 + 8/3*p**2 - 8/3*p - 2/3*p**5 + 0 - 4/3*p**4.
-2*p*(p - 1)**2*(p + 2)**2/3
Let l(b) be the second derivative of b**6/75 + b**5/25 - 2*b**3/15 - b**2/5 - 42*b. Factor l(g).
2*(g - 1)*(g + 1)**3/5
Suppose -22*h + 24 = -10*h. Let x(n) be the second derivative of h*n**2 + 0 + 1/6*n**4 + n**3 - 8*n. Suppose x(b) = 0. Calculate b.
-2, -1
Let t be 33 + -1 - (-2*1 - (-41 + 43)). What is i in -29*i**2 + t + 78*i + 5/2*i**3 = 0?
-2/5, 6
Suppose -3 = 5*b - 28. Let a be (-24)/(-10) - 2/b. Factor -1 - 1 - 8*k**2 + 6*k**3 + 2*k + a.
2*k*(k - 1)*(3*k - 1)
Let q(s) = 1. Let w(g) = g**3 + 12*g**2 + 11*g - 5. Let i(u) = 5*q(u) + w(u). Factor i(b).
b*(b + 1)*(b + 11)
Suppose -2/5*z**2 + 0 + 4/5*z = 0. What is z?
0, 2
Suppose 8*p - 8 = 6*p. Suppose 4*b = u - 30, -u + p*b = -2*u - 10. Determine a, given that 276*a**2 + 7 - 112*a + u - 1 - 280*a**3 + 100*a**4 = 0.
2/5, 1
Let s(y) be the second derivative of -7/25*y**5 + 2/35*y**7 + 0 + 8/15*y**3 + 2/15*y**6 + 4*y + 8/5*y**2 - 3/5*y**4. Solve s(r) = 0.
-2, -1, -2/3, 1
Let u = -10410 - -10415. What is l in -4/15*l**3 - 4/5*l**2 - 2/15*l + 2/5*l**u + 2/15 + 2/3*l**4 = 0?
-1, 1/3, 1
Let c(o) be the first derivative of -5*o**4/4 - 40*o**3/3 - 35*o**2/2 + 96. Find q such that c(q) = 0.
-7, -1, 0
Let o(l) be the second derivative of l**5/110 + 2*l**4/11 + 15*l**3/11 + 54*l**2/11 + 15*l. Suppose o(v) = 0. Calculate v.
-6, -3
Let r(u) = 15*u - u**3 - 5*u**2 + 2*u**2 + 8*u - 20*u. Let t be r(-4). Factor 0 + 0*b + 1/4*b**t + 0*b**3 - 1/4*b**2.
b**2*(b - 1)*(b + 1)/4
Let u = 30 + -18. Let d(x) be the first derivative of -x**3 + 1 - 25 + 14 - u*x**2 - 48*x. Factor d(f).
-3*(f + 4)**2
Let b(m) = -2*m - 47. Let q be b(-27). Let y(l) be the second derivative of q*l + 1/2*l**3 + 0 - 3/20*l**5 + 1/2*l**4 - 3*l**2. Solve y(n) = 0.
-1, 1, 2
Let c(y) be the first derivative of 25*y - y**5 + 20*y**3 + 35*y**2 + 5/2*y**4 + 29. Suppose c(u) = 0. Calculate u.
-1, 5
Let o(w) be the first derivative of w**6/21 + 2*w**5/7 - w**4/7 - 20*w**3/21 + w**2/7 + 10*w/7 - 49. Solve o(g) = 0 for g.
-5, -1, 1
Let o(h) = 4*h**4 - 4*h**3 + 5*h**2 + h. Let v(t) = t**4 + t. Let b(k) = -o(k) + 3*v(k). Factor b(z).
-z*(z - 2)*(z - 1)**2
Let d(v) = 7*v - 19. Let u be d(5). Suppose -12 + u + t**2 - 4*t**2 + 2*t**2 = 0. Calculate t.
-2, 2
Let b(w) be the third derivative of w**8/90720 + w**7/2835 + 2*w**6/405 - w**5/20 - 13*w**2. Let c(d) be the third derivative of b(d). Solve c(q) = 0 for q.
-4
Let p(s) be the first derivative of 2*s**4 + 12/5*s**5 - 8/3*s**3 - 6*s**2 + 6 - 4*s + 2/3*s**6. Find i such that p(i) = 0.
-1, 1
Suppose -2*i + 8 = 2*i. Let r = i - -1. Let r*a**4 + a**2 - 27*a**3 - a**5 + 28*a**3 - 4*a**4 = 0. Calculate a.
-1, 0, 1
Let c(t) be the first derivative of 5*t**4/16 - 5*t**3/6 - 5*t**2/8 + 5*t/2 - 686. Factor c(r).
5*(r - 2)*(r - 1)*(r + 1)/4
Determine v so that -1/6*v**5 - 1/6*v**4 - 4/3*v + 2/3*v**2 + 0 + v**3 = 0.
-2, 0, 1, 2
Let n be (-15 - -13) + -16*1. Let p be ((-2)/(-9))/((-15)/n). Solve -6/5*w**3 + 0 + 22/15*w**2 - p*w = 0 for w.
0, 2/9, 1
Solve -2/9*n**4 + 0 - 2/9*n**2 - 8/9*n**3 + 4/3*n = 0 for n.
-3, -2, 0, 1
Let y(f) = 5*f**2 - 4*f**2 + 0*f**4 - 2*f**3 - f**4 - 2 - 4*f**2. Let o(q) = -3*q**4 - 5*q**3 - 9*q**2 - 7. Let v(z) = -2*o(z) + 7*y(z). Factor v(m).
-m**2*(m + 1)*(m + 3)
Let l(t) be the third derivative of t**7/1470 + t**6/70 + 9*t**5/140 + 24*t**2 - t. Factor l(j).
j**2*(j + 3)*(j + 9)/7
Factor 2/7*k**2 - 62/7*k - 64/7.
2*(k - 32)*(k + 1)/7
Factor -34*o**3 - 11*o**2 - 5*o**2 + 16*o**2 - o**5 + 35*o**4.
-o**3*(o - 34)*(o - 1)
Let f(d) be the third derivative of -d**5/210 - 13*d**4/84 - 4*d**3/7 - 123*d**2. Factor f(q).
-2*(q + 1)*(q + 12)/7
Let 304/7*q**2 + 468/7*q**4 + 0 - 696/7*q**3 - 32/7*q = 0. Calculate q.
0, 2/13, 2/3
Let f(z) be the third derivative of -z**6/30 - z**5/15 + z**4/3 - 2*z**2 + 33*z. Factor f(n).
-4*n*(n - 1)*(n + 2)
Let f(l) be the second derivative of -l**5/30 + 23*l**4/54 - 37*l**3/27 - 5*l**2/3 - 178*l. Factor f(j).
-2*(j - 5)*(j - 3)*(3*j + 1)/9
Let j be (-4 + 9)*(-8)/5. Let q be 6/(-4)*j/(-12). Let a(n) = -16*n**2 + 4. Let b(y) = -y**2. Let s(g) = q*a(g) + 12*b(g). Suppose s(o) = 0. What is o?
-1, 1
Determine c, given that 2*c**2 - 4 + 14 - 30*c + 20 - 2 = 0.
1, 14
Let x(f) = -f**2 - 18*f - 13. Let w be x(-17). Let g be w/(-10) - 2/(-5). Find n, given that -4/15*n**4 - 2/15*n + g*n**3 + 0 + 4/15*n**2 + 2/15*n**5 = 0.
-1, 0, 1
Let l(y) be the third derivative of -y**6/30 - 2*y**5/15 - y**4/6 + 5*y**3/3 - 6*y**2. Let w(z) be the first derivative of l(z). Let w(t) = 0. Calculate t.
-1, -1/3
Suppose 4 - 4 = 11*n. Let f(o) be the second derivative of n + 3*o + 3/20*o**5 - 2*o**3 + 12*o**2 - 1/2*o**4. What is x in f(x) = 0?
-2, 2
Let y(h) be the second derivative of 3*h**5/20 - 3*h**4/2 + 5*h**3/2 - 121*h. What is k in y(k) = 0?
0, 1, 5
What is z in 0*z - 1/3*z**3 - 2/3*z**2 + 1/3*z**4 + 0 = 0?
-1, 0, 2
Let b(x) be the first derivative of -3/14*x**4 - 2*x**3 - 45/7*x**2 - 11 - 54/7*x. Determine y, given that b(y) = 0.
-3, -1
Let h(m) be the second derivative of -m**4/42 - 8*m**3/7 - 9*m**2 - 623*m. Factor h(c).
-2*(c + 3)*(c + 21)/7
Let s(a) be the third derivative of 3/32*a**4 + 0*a + 1/4*a**3 + 0 - 24*a**2 + 1/80*a**5. Solve s(g) = 0.
-2, -1
Let p be (22 + (4 - 0))/2. Suppose 1 = -6*t + p. Factor -7/2*k + 9/2*k**t - 1.
(k - 1)*(9*k + 2)/2
Let v(f) = -3*f**3 + 14*f**2 - 5*f. Let k(g) = -6*g**3 + 27*g**2 - 9*g. Let x(j) = -5*k(j) + 9*v(j). Suppose x(a) = 0. Calculate a.
0, 3
Let g(d) be the first derivative of -4*d**5/35 + 4*d**4/7 - 20*d**3/21 + 4*d**2/7 - 110. Solve g(b) = 0 for b.
0, 1, 2
Let y be ((-6)/(-18))/((-2)/(-18)). Factor -24*u + 3 + 24*u - y*u**2.
-3*(u - 1)*(u + 1)
Let a(o) be the second derivative of o**4/16 + 3*o**3/2 + 12*o**2 - 126*o. Let a