 Factor 1/3*i - 1/3*i**j - 1/3*i**3 + 1/3.
-(i - 1)*(i + 1)**2/3
Factor 3*z**4 + 2*z**2 + 2*z**2 + 4*z**2 - 5*z**2 + 6*z**3.
3*z**2*(z + 1)**2
Suppose 2*g - 5*g = 4*b - 5, -10 = -3*g + b. Let c(t) be the second derivative of 0 - 1/60*t**4 - 1/10*t**2 - t + 1/15*t**g. Let c(v) = 0. Calculate v.
1
Factor -136/3*g + 8/3 + 578/3*g**2.
2*(17*g - 2)**2/3
Determine q, given that q**2 + q**2 - 3 - 4*q**2 + 5*q**2 = 0.
-1, 1
Let v(b) be the third derivative of -3*b**2 + 0*b + 0*b**4 + 1/240*b**6 + 0*b**3 + 0 - 1/120*b**5. Factor v(j).
j**2*(j - 1)/2
Let u(s) be the first derivative of -6*s**3 - 21/2*s**2 + 12/5*s**5 + 21/4*s**4 + 6*s + 6. Determine t, given that u(t) = 0.
-2, -1, 1/4, 1
Let -2*k**2 - 2018 + 82 - 2*k**2 + 176*k = 0. What is k?
22
Suppose 4 - 73*t**2 - 10*t + 78*t**2 + t**3 - 2*t**3 + 2*t = 0. What is t?
1, 2
Let n(w) be the second derivative of 0*w**2 - 1/10*w**3 - 2*w + 0 + 1/60*w**4. Let n(s) = 0. Calculate s.
0, 3
Let a(p) = -p**2 + 8*p + 3. Let u be a(4). Let q = u - -1. Find t, given that t**4 + 2 - 10*t + 20*t**2 - 2*t**5 - q*t**3 + 11*t**4 - 2*t**4 = 0.
1
Let j(u) be the third derivative of u**3 - 2*u**2 + 0*u + 0 + 1/40*u**5 - 1/4*u**4. Factor j(o).
3*(o - 2)**2/2
Let j(t) = -t**2 + 6*t + 5. Let r be j(7). Let z be (1/(-4))/(1/r). Suppose -1/4*o**2 - 3/4*o - z = 0. What is o?
-2, -1
What is y in -3/8*y**2 + 0*y**3 + 1/8*y**4 + 0 + 1/4*y = 0?
-2, 0, 1
Let c be (87/(-12))/(1/4). Let f = c - -59/2. Factor 9/2*x - f - 12*x**2 + 8*x**3.
(x - 1)*(4*x - 1)**2/2
Let g = 100 + -498/5. Let w = 19 - 17. Find t such that -2/5*t + 0 + g*t**w = 0.
0, 1
Let v(x) be the second derivative of -x**5/100 - x**4/60 - 8*x. Find m, given that v(m) = 0.
-1, 0
Let b be 11 + -7 - 90/24. Solve 3/2*w + b*w**2 + 9/4 = 0.
-3
Let l be (-20)/24*(-18)/60. Factor -g**2 + 5/4*g - 1/2 + l*g**3.
(g - 2)*(g - 1)**2/4
Let l be 2 + (-1)/(5/10). Suppose 2*v + 20 - 24 = l. Factor -1/3*p**5 - 4/3*p**v - 4/3*p**4 - 2*p**3 - 1/3*p + 0.
-p*(p + 1)**4/3
Let s(m) = m**3 + 3 + m**3 + 0 - 1. Suppose 4*b + 13 - 1 = 0. Let r(o) = -3*o**3 + o**2 + o - 3. Let i(w) = b*r(w) - 5*s(w). Find h, given that i(h) = 0.
-1
Let z(m) be the second derivative of -7*m**5/4 + 55*m**4/3 - 125*m**3/2 + 45*m**2 - 7*m. Suppose z(x) = 0. What is x?
2/7, 3
Let g = -5 - -7. Factor 5*o**3 - 2*o**5 - 2*o**g + o**5 - 11*o**3 - o**5 - 6*o**4.
-2*o**2*(o + 1)**3
Let l(w) be the second derivative of w**7/315 - w**6/90 + 2*w**2 + 4*w. Let s(d) be the first derivative of l(d). Factor s(k).
2*k**3*(k - 2)/3
Let o be -1 + 17/10 - 9/(-18). Determine m so that 0 + 2*m**4 + 4/5*m - 2*m**3 + o*m**5 - 2*m**2 = 0.
-2, -1, 0, 1/3, 1
Let y(l) be the second derivative of l**4/4 + 7*l**3/4 - 3*l**2 + 32*l. Determine a so that y(a) = 0.
-4, 1/2
Let f be 10/(-4) - (-3)/1. Let 7/4*b - 2*b**4 - b**3 + 3/2*b**2 - 3/4*b**5 + f = 0. What is b?
-1, -2/3, 1
Factor 0*q + 0*q**2 + 4/7*q**5 + 4/7*q**3 - 10/7*q**4 + 0.
2*q**3*(q - 2)*(2*q - 1)/7
Let s(w) = 2*w**2 - 3*w. Let l be s(2). Suppose f**l - 2*f**4 - f**5 - 3*f**3 + f**2 + 3*f**5 + f**5 = 0. Calculate f.
-1, 0, 2/3, 1
Suppose -6 = -0*n - 3*n. Let b(y) = y. Let v be b(n). Find z such that 0 - 4/5*z**v + 2/5*z**3 + 2/5*z = 0.
0, 1
Let y(p) be the third derivative of -p**6/120 - p**5/12 - p**4/6 - 8*p**2. Factor y(r).
-r*(r + 1)*(r + 4)
Let k(l) be the first derivative of -3*l**5/20 + l**4/4 + l**3/12 - l**2/4 + 6. Factor k(x).
-x*(x - 1)**2*(3*x + 2)/4
Let m be (-6)/2*(0 - 1). Let w(v) be the third derivative of 0*v**5 + 1/105*v**7 + 0 + v**2 - 1/3*v**m - 1/6*v**4 + 1/30*v**6 + 0*v. Factor w(b).
2*(b - 1)*(b + 1)**3
Suppose w - n + 21 = 3*n, 28 = -4*w + 2*n. Let h be (4 + w)*4/(-14). Factor 0 - h*z + 4/7*z**2 - 2/7*z**3.
-2*z*(z - 1)**2/7
Let b = -138 + 140. Factor -1 - 1/2*q**3 + 0*q**b + 3/2*q.
-(q - 1)**2*(q + 2)/2
Let p(o) = 4*o**2 + 4*o + 1. Let q(a) = 3*a**2 + 4*a + 2. Let x(k) = 2*p(k) - 3*q(k). Factor x(j).
-(j + 2)**2
Let f be (-22)/(-99) + 104/18. Factor o**4 - 9*o**4 - 9*o**3 + f*o**2 + 11*o**4.
3*o**2*(o - 2)*(o - 1)
Factor -10*c**3 - 25/7*c**4 - 69/7*c**2 - 4/7 - 4*c.
-(c + 1)**2*(5*c + 2)**2/7
Let n(f) be the first derivative of 39/8*f**4 - 8*f**3 - 9 - 9/10*f**5 + 3*f**2 + 0*f. Factor n(d).
-3*d*(d - 2)**2*(3*d - 1)/2
Let w(p) = p**3 - 13*p**2 - 48*p + 2. Let q be w(16). Factor -4/3*h**3 + 1/3 - 4/3*h + q*h**2 + 1/3*h**4.
(h - 1)**4/3
Let c(m) = m**2 + 2. Let y be c(-2). Suppose 6 = 3*z - y. Determine d, given that -d**z - d**4 - 6*d**3 + 0*d**4 + 0*d**2 - 4*d**2 = 0.
-2, -1, 0
Let r = -5/33 + 53/132. Factor -r*d + 1/4*d**2 - 1/2.
(d - 2)*(d + 1)/4
Let -4/3*c**3 + 0*c + 2/3*c**4 + 2/3*c**2 + 0 = 0. Calculate c.
0, 1
Let x(v) = 9*v**2 + 4*v - 13. Let z(u) = -5*u**2 - 2*u + 7. Let g(i) = i**2 + 23. Let s be g(0). Suppose 2*l + s = 1. Let n(q) = l*z(q) - 6*x(q). Factor n(k).
(k - 1)**2
Let a = 393/88 - -3/88. Suppose a + 3*t + 1/2*t**2 = 0. Calculate t.
-3
Let m(q) be the second derivative of q**8/6720 + q**7/1260 - q**4/4 + q. Let c(a) be the third derivative of m(a). Let c(h) = 0. Calculate h.
-2, 0
Suppose 0*b = -3*b. Let s = -1384/7 + 198. Suppose -s*k**3 + 6/7*k + 4/7 + b*k**2 = 0. What is k?
-1, 2
Let y be (-10)/(-104) - (-6)/39. Find a such that 0*a**2 - 1/4*a**3 + y*a + 0 = 0.
-1, 0, 1
Let m(u) be the second derivative of -2/5*u**2 + 0 - u - 1/50*u**5 + 0*u**4 + 1/5*u**3. Determine x so that m(x) = 0.
-2, 1
Let f(m) be the third derivative of -m**2 + 0*m + 1/3*m**3 - 1/30*m**6 + 1/6*m**5 + 0 - 1/3*m**4. Factor f(g).
-2*(g - 1)**2*(2*g - 1)
Factor -2*w - 4*w**4 + 2*w + 6*w**5 + 7*w**4.
3*w**4*(2*w + 1)
Let r = -5/37 + 200/111. Factor -2/3 + r*y - 4/3*y**2 + 1/3*y**3.
(y - 2)*(y - 1)**2/3
Let -4*w**3 + 14*w**3 + 4*w**2 - 12*w**3 + 0*w**2 - 2*w = 0. What is w?
0, 1
Let j(v) be the third derivative of -v**6/420 - v**5/105 - v**4/84 + 10*v**2. Determine y so that j(y) = 0.
-1, 0
Let s(g) = g**3 + 13*g**2 - g - 10. Let p be s(-13). Let 0 + 0*u + 0*u**2 - 2/5*u**p = 0. What is u?
0
Let l = -3 + 3. Suppose 4*r + l*h = -2*h + 12, -4*h = 5*r - 15. What is y in -4 + 4*y + r*y**2 - y**2 - 2*y = 0?
-2, 1
Let g(v) = -v**2 - 14*v - 37. Let m be g(-10). Solve 2/3*o**2 + 0*o**m - 1/3*o**4 + 0*o - 1/3 = 0 for o.
-1, 1
Let o(k) be the first derivative of k**5/240 + k**4/24 + k**3/6 - 3*k**2/2 + 1. Let y(x) be the second derivative of o(x). Determine h so that y(h) = 0.
-2
Suppose -30 = -3*o - 7*o. Factor -14/5*y**o + 24/5*y**2 - 4/5 - 6/5*y.
-2*(y - 1)**2*(7*y + 2)/5
Let v(y) be the second derivative of -y**5/10 + 4*y**4/3 + 49*y. Solve v(j) = 0.
0, 8
Determine r so that -38 - 14*r**2 + 12*r + 12*r**3 - 3*r**4 + 35 - 4*r**2 = 0.
1
Let y(v) be the first derivative of 4*v**6/15 + v**5/10 - 2*v**4/3 - v**3/3 + 2*v + 1. Let x(f) be the first derivative of y(f). Factor x(z).
2*z*(z - 1)*(z + 1)*(4*z + 1)
Let q(t) = -2*t - 3. Let l be q(-3). Let a be (3/l)/(-1 + 4). Factor 0 - a*o**2 + 0*o.
-o**2/3
Let s = 1001/4 + -250. Factor -1/4 + 1/2*m**3 - 1/2*m + s*m**4 + 0*m**2.
(m - 1)*(m + 1)**3/4
Suppose -5*q + 37 = -4*k + 10, -k = 4*q - 9. What is u in q + 4*u + 1 + 0 + u**2 = 0?
-2
Let f(p) = p**2 + p - 6. Let u be f(5). Let n be 1/3 - u/(-9). Factor m + 2*m**2 - m - m**n - m.
-m*(m - 1)**2
Let x be (-12)/(-8)*(2/(-3))/(-2). Let o(j) be the first derivative of -2/3*j**3 + 2*j - j**2 + x*j**4 - 2. Determine a so that o(a) = 0.
-1, 1
Let u(b) be the third derivative of b**9/5040 - b**7/840 - b**4/12 - 2*b**2. Let z(n) be the second derivative of u(n). Factor z(f).
3*f**2*(f - 1)*(f + 1)
Let r(a) be the second derivative of 3*a**5/80 - a**3/8 - 6*a. Solve r(k) = 0.
-1, 0, 1
Let g = 0 + 3. Let j(t) be the first derivative of 0*t**g - 1/5*t**2 - 1 + 1/10*t**4 + 0*t. Factor j(k).
2*k*(k - 1)*(k + 1)/5
Factor 5/2*i + 1 + 3/2*i**2 - 1/2*i**4 - 1/2*i**3.
-(i - 2)*(i + 1)**3/2
Factor 0 - 13/2*b**3 + 3/2*b**4 + 8*b**2 - 2*b.
b*(b - 2)**2*(3*b - 1)/2
Let t(b) be the second derivative of 5*b**7/42 - b**5 - 5*b**4/6 + 5*b**3/2 + 5*b**2 - 6*b. Factor t(v).
5*(v - 2)*(v - 1)*(v + 1)**3
Suppose 2*k = 5*k. Let a be 3 + k + 0 - -1. Factor 0 - 1/3*j**a - 1/3*j**3 + 0*j + 0*j**2.
-j**3*(j + 1)/3
Let x(g) be the first derivative of -g**4/4 - 7*g**3/12 - g**2/4 + g/4 + 8. Let x(n) = 0. Calculate n.
-1, 1/4
Suppose -3*j + 9 = -0*j. Factor c + 2 + 2*c**3 - 2*c**2 - j*c + 0.
2*(c - 1)**2*(c + 1)
Let g(o) = 4