 3 + 2/3*t + 0*t**a. Solve d(n) = 0 for n.
-1, 1
Let v = 46 - 46. Suppose v - 10 = -5*q. Factor 1/4*o**q + 1 - o.
(o - 2)**2/4
Let s be ((1 + -5)/8)/(-1). Factor s*d**2 + d + 0.
d*(d + 2)/2
Let p(b) = -b**3 + 9*b**2 + 10*b + 2. Let a be p(10). Factor -2*g**2 + 0*g**2 - 2*g**3 + g**a - g**4.
-g**2*(g + 1)**2
Let z(a) = -8*a**3 + a**2 + 4*a - 2 - 2*a**2 - a**2. Let b(p) = -8*p**3 - 2*p**2 + 3*p - 3. Let q be (0 - (1 + 3))*1. Let d(y) = q*b(y) + 5*z(y). Factor d(i).
-2*(i - 1)*(i + 1)*(4*i + 1)
Let l(s) = s**2 + 1. Let j(h) = 4*h**3 - 4*h**2 - 8*h - 8. Let d(u) = -j(u) - 8*l(u). Factor d(t).
-4*t*(t - 1)*(t + 2)
Let n(r) be the second derivative of 3*r**5/80 - 3*r**4/8 + 3*r**3/2 - 3*r**2 - 33*r. Factor n(s).
3*(s - 2)**3/4
Let z(x) be the first derivative of -14*x**3/27 + x**2/3 - 14. Factor z(c).
-2*c*(7*c - 3)/9
Let k(x) = x + 9. Let r be k(-5). Find l, given that 18*l**2 - 3 + 2 - 10*l**3 - 14*l**r - 3 + 10*l = 0.
-1, 2/7, 1
What is b in 8/13*b**2 - 10/13*b + 6/13*b**3 - 4/13 = 0?
-2, -1/3, 1
Let p(u) be the third derivative of u**6/20 + 3*u**5/20 - 3*u**4/8 - u**3 - 7*u**2. Determine q so that p(q) = 0.
-2, -1/2, 1
Let a(r) be the first derivative of -1/18*r**4 - 4 + 1/9*r**3 - 1/30*r**5 + 3*r + 0*r**2 + 1/45*r**6. Let n(m) be the first derivative of a(m). Factor n(x).
2*x*(x - 1)**2*(x + 1)/3
Let d = -30 + 33. Let j(y) be the first derivative of -y**2 + 0*y + 2/3*y**d - 3. Factor j(o).
2*o*(o - 1)
Let k(x) = x**3 + 8*x**2 + 8*x - 4. Let h be k(-6). Suppose -z - z = -2*a + 10, 4*z + 4*a = h. Factor 1/2*q**4 + 0 + 1/2*q**2 + z*q + q**3.
q**2*(q + 1)**2/2
Let z(n) = -5*n**2 - 6*n + 4. Suppose -3*i + 3 = -3. Let a(g) = g**2 - 1 + 0*g**2 + 0 + i*g - g. Let t(x) = -4*a(x) - z(x). Find q such that t(q) = 0.
-2, 0
Let z(g) = -g**3 + 5*g**2 - g + 7. Let f be z(5). Let a be 6/(-10) + (-38)/(-5). Determine n so that n**2 + f + 0*n**2 - a*n + 4*n**2 = 0.
2/5, 1
Factor -4/3*b**4 + 8*b**3 - 4/3*b**5 + 0 + 0*b**2 + 0*b.
-4*b**3*(b - 2)*(b + 3)/3
Let c(q) be the third derivative of 0 - 1/6*q**4 + 2*q**2 + 0*q + 0*q**3 - 1/30*q**5. Factor c(f).
-2*f*(f + 2)
Let p(m) be the second derivative of 0*m**3 + 1/12*m**4 + 0 + 0*m**2 + 1/30*m**6 + 8*m - 1/10*m**5. Suppose p(w) = 0. Calculate w.
0, 1
Let x(m) be the third derivative of -1/3*m**3 + 0 - 6*m**2 + 0*m + 1/120*m**6 - 1/15*m**5 + 5/24*m**4. Let x(s) = 0. Calculate s.
1, 2
Let d(i) be the first derivative of 2*i + 1/4*i**4 - 2 - 1/2*i**2 - 2/3*i**3. Solve d(v) = 0 for v.
-1, 1, 2
Factor 1/4*w**4 - 1/4*w**2 + 1/4*w**3 + 0 - 1/4*w.
w*(w - 1)*(w + 1)**2/4
Let s(o) = o**2 - o. Let j(v) be the first derivative of 8*v**3/3 + 7*v**2/2 + 12*v + 2. Let r(l) = -j(l) + 5*s(l). Factor r(f).
-3*(f + 2)**2
Suppose 4*q + 4*b - 5 = -13, 0 = 2*q + 4*b + 8. Factor 2*r**2 + 4*r - 4 - r + q*r - r.
2*(r - 1)*(r + 2)
Let q(s) = -s**3 + 1. Let y = -15 - -18. Let v(h) = 2*h**3 + 3*h**2 - 2*h - 3. Let a(i) = y*q(i) + v(i). Let a(u) = 0. What is u?
0, 1, 2
Let v = 1 + 1. Suppose -5*d - 16 = -2*k, -5*k + d - 4*d + 9 = 0. Factor -v*t**2 + t**3 + 0*t**3 - k*t**3.
-2*t**2*(t + 1)
Suppose 11*i - 6*i = 0. Factor i - 2/7*h**3 + 0*h**2 + 2/7*h.
-2*h*(h - 1)*(h + 1)/7
Let r be 12*9/(-120)*(-4)/3. Let 14/5*c**4 - 6/5*c**3 + 4/5*c + 0 - r*c**5 - 6/5*c**2 = 0. What is c?
-2/3, 0, 1
Let i(q) be the second derivative of -q**7/1260 - q**6/360 + q**5/30 + q**4/6 + 3*q. Let s(g) be the third derivative of i(g). Factor s(b).
-2*(b - 1)*(b + 2)
Let w be 3/9*(-4 - -18) - 4. Let x(v) be the third derivative of 3*v**2 + 1/4*v**4 + 0*v + 1/30*v**5 + 0 + w*v**3. Suppose x(m) = 0. What is m?
-2, -1
Let k(n) be the first derivative of n**7/210 + n**6/120 + n**2 + 2. Let f(i) be the second derivative of k(i). Determine h, given that f(h) = 0.
-1, 0
Let i(b) be the first derivative of -b**5/15 - 3*b**4/4 - 29*b**3/9 - 13*b**2/2 - 6*b - 29. Solve i(z) = 0.
-3, -2, -1
Let o(l) be the second derivative of l**6/660 + l**5/110 + l**4/66 + 9*l**2/2 - 9*l. Let d(h) be the first derivative of o(h). What is g in d(g) = 0?
-2, -1, 0
Suppose -82 + 64 = -9*i. Factor 4/3 - i*m + 2/3*m**2.
2*(m - 2)*(m - 1)/3
Let y(b) be the first derivative of 4*b**3/15 - 4*b**2/5 + 4*b/5 - 1. Determine d so that y(d) = 0.
1
Let a(p) be the second derivative of -6*p**2 - 8*p + 0 + 8/3*p**3 - 1/3*p**4. Let a(w) = 0. Calculate w.
1, 3
Suppose 1 + 1/4*y**2 - y = 0. What is y?
2
Let r(v) be the first derivative of 9*v**4/4 + 11*v**3/3 + v**2 + 18. Factor r(j).
j*(j + 1)*(9*j + 2)
Factor 0*u**2 + 0*u + 0*u**3 - 8/7*u**4 + 4/7*u**5 + 0.
4*u**4*(u - 2)/7
Let s(r) = -2*r**2 - 8*r + 4. Let l be s(-4). Let a(t) be the first derivative of -11*t**3 - 45/2*t**4 + 18*t**2 + 15*t**5 + 12*t - l. Solve a(u) = 0.
-2/5, 1
Let u(t) = 3*t**3 + 15*t**2 + 12*t - 3. Let k(j) = -3*j**3 - 14*j**2 - 11*j + 2. Let w(z) = -3*k(z) - 2*u(z). Solve w(y) = 0 for y.
-3, -1, 0
Suppose -9*q + 4 = -8*q. Let j(r) be the first derivative of -1/9*r**2 + 2 + 1/6*r**q + 4/27*r**3 + 0*r. Factor j(l).
2*l*(l + 1)*(3*l - 1)/9
Factor 28*z**3 + 0*z**4 - 4*z**4 - 40*z**3 + 21*z - 5*z.
-4*z*(z - 1)*(z + 2)**2
Let c = -41 + 125/3. Let m(z) be the first derivative of 1 + 0*z**2 - 1/3*z**6 + 1/2*z**4 - c*z**3 + 0*z + 2/5*z**5. Factor m(a).
-2*a**2*(a - 1)**2*(a + 1)
Let q(c) = -9*c**2 - 24*c + 12. Let s(b) = -2*b**2 - 6*b + 3. Let j(p) = 5*q(p) - 21*s(p). Factor j(w).
-3*(w - 1)**2
Let m(v) be the first derivative of 0*v + 9/10*v**6 - 1/5*v**3 - 9/5*v**5 + 21/20*v**4 + 3 + 0*v**2. Let m(f) = 0. Calculate f.
0, 1/3, 1
Let s be 3 + 2/(-5 - -3). Let q be s/(-4)*(-4)/6. Factor 2/3*k + 1/3 + q*k**2.
(k + 1)**2/3
Let r(n) be the third derivative of n**8/392 - 4*n**7/735 + n**6/420 - 20*n**2. Suppose r(j) = 0. Calculate j.
0, 1/3, 1
Let d be (-2)/7*(4 + (-46)/8). Determine m so that -m + 1/2*m**2 + d = 0.
1
Let i(r) be the first derivative of r**7/945 - r**5/270 - 5*r**2/2 + 2. Let g(a) be the second derivative of i(a). Factor g(z).
2*z**2*(z - 1)*(z + 1)/9
Let y(x) be the first derivative of x**5/60 - x**4/12 + x**3/6 - 3*x**2/2 - 1. Let d(g) be the second derivative of y(g). What is f in d(f) = 0?
1
Let k = 367 - 2557/7. Suppose 18/7*a**2 + 0 - 3/7*a - 27/7*a**3 + k*a**4 = 0. Calculate a.
0, 1/4, 1
Let c = -37 + 40. Let b be 68/70 - 2/5. Determine i so that -b*i**c + 2/7*i**4 + 0 + 2/7*i**2 + 0*i = 0.
0, 1
Factor w**4 - w**3 - 8*w + 9*w + 3*w - 4*w**2.
w*(w - 2)*(w - 1)*(w + 2)
Suppose -1 = 2*l + 9, -c = 5*l + 26. Let f = 6 + c. Factor n**5 + 4*n - f*n**4 + 13*n**3 - n**4 - n**2 - 11*n**2.
n*(n - 2)**2*(n - 1)**2
Let j(w) be the third derivative of -w**6/420 + w**4/28 - 2*w**3/21 + 33*w**2. Find g, given that j(g) = 0.
-2, 1
Let n(j) be the first derivative of j**3 - 3/2*j**2 + 1 + 0*j. Suppose n(v) = 0. Calculate v.
0, 1
Find i, given that 2/3*i**2 + 2/3 + 4/3*i = 0.
-1
Find y, given that -11 + 10*y + 17*y**2 - 10*y**3 + 11 - 12*y**2 - 5*y**4 = 0.
-2, -1, 0, 1
Let i(w) be the first derivative of 4*w**3/3 + 14*w**2 + 24*w + 30. Factor i(l).
4*(l + 1)*(l + 6)
Let f(v) be the first derivative of -v**4/22 + 24*v**3/11 - 432*v**2/11 + 3456*v/11 - 43. Factor f(l).
-2*(l - 12)**3/11
Let n(h) be the first derivative of 5/8*h**4 + 0*h - 1/10*h**5 - 1 + h**2 - 4/3*h**3. Factor n(o).
-o*(o - 2)**2*(o - 1)/2
Factor 0*m**2 - 1/11*m + 1/11*m**3 + 0.
m*(m - 1)*(m + 1)/11
Suppose -4*r - 6*r = -20. Let 8/9*x**r - 2*x + 4/9 = 0. Calculate x.
1/4, 2
Factor 3*x**4 + 7*x**5 + 20*x**5 - 5*x**4 + 12*x**2 - 7*x**4 - 24*x**3.
3*x**2*(x + 1)*(3*x - 2)**2
Let h be (-14)/6 - (-9)/(6/2). Solve h - 2*w + 2*w**2 - 2/3*w**3 = 0.
1
Let w(b) = -13*b**2 + 5*b - 4. Let p(o) = o**2 + 1. Let l = -5 - -8. Suppose -l*z + 10 + 8 = 0. Let i(q) = z*p(q) + w(q). Factor i(v).
-(v - 1)*(7*v + 2)
Let r = 36 + -33. Let c be ((-3 - -3) + r)/1. Find u such that 0 - 2/7*u - 2/7*u**c + 4/7*u**2 = 0.
0, 1
Suppose 0 = -4*h - 5*g - 17, -3*h - 2*g + 4*g = -16. Let 0*w + 0 - 3/7*w**4 + 0*w**3 - 3/7*w**5 + 0*w**h = 0. Calculate w.
-1, 0
Let m be ((-4)/6)/((-2)/1). Let h be (0 + -3)/((-6)/10). Factor 0*w + 0 + 0*w**4 - 1/3*w**h + 0*w**2 + m*w**3.
-w**3*(w - 1)*(w + 1)/3
Let n be 2/(-5) - (-344)/60. Let u = 6/55 + 92/165. Factor n*k - 8/3 + u*k**3 - 10/3*k**2.
2*(k - 2)**2*(k - 1)/3
Let h(y) be the first derivative of 1/6*y**3 + 1/4*y + 3/8*y**2 - 1/24*y**6 - 1/8*y**4 - 3/20*y**5 - 7. What is w in 