+ d - 14. Solve k(g) = 0.
-2, 2
Let f = -17 + 20. Determine m so that 0*m - 1/4*m**4 - 1/4*m**2 - 1/2*m**f + 0 = 0.
-1, 0
Let q(t) = 7*t**3 - 7*t**2 + 4*t. Let r(w) = 57*w**3 - 57*w**2 + 33*w. Let d(u) = 33*q(u) - 4*r(u). Factor d(y).
3*y**2*(y - 1)
Let t(i) be the first derivative of i**7/3360 - i**6/480 + i**5/160 - i**4/96 + i**3/3 - 3. Let d(m) be the third derivative of t(m). Factor d(v).
(v - 1)**3/4
Suppose 0 - 1/5*g**2 + 0*g = 0. Calculate g.
0
Suppose 2/9 + 4/9*s + 2/9*s**2 = 0. Calculate s.
-1
Let h be 5 - ((-34)/(-255) + 73/15). Factor 0*p + 0 + h*p**2 - 3/8*p**3.
-3*p**3/8
What is i in 32/11 - 16/11*i + 2/11*i**2 = 0?
4
Suppose y - 23 + 0 = 0. Suppose 5*c - y = -8. Factor -6*t**3 - c*t**2 + 2*t**3 + t**3 + 0*t**2.
-3*t**2*(t + 1)
Let r(h) be the first derivative of -1/40*h**5 + 1/2*h**2 - h - 1/12*h**4 + 1/12*h**3 + 2. Let m(f) be the first derivative of r(f). Factor m(g).
-(g - 1)*(g + 1)*(g + 2)/2
Let l(p) be the first derivative of -14*p**5/25 + p**4/5 - 7. Let l(f) = 0. What is f?
0, 2/7
Suppose 61*p + 18*p - 158 = 0. Factor 242/5*t**p + 8/5 - 88/5*t.
2*(11*t - 2)**2/5
Suppose 3*l = 2*k - 19, -4*l - 19 = -3*k + 7. Suppose 2 - 19 = m + 5*j, 0 = -4*m - k*j + 4. Find z, given that 4*z**m - 4*z + 5/3*z**4 - 1/3*z**2 - 4/3 = 0.
-2, -1, -2/5, 1
Let u(l) = 5*l**3 - 14*l**2 + 13*l - 4. Let z(n) = 11*n**3 - 29*n**2 + 25*n - 7. Let i(v) = 5*u(v) - 2*z(v). Let i(b) = 0. What is b?
1, 2
Suppose -2*a = -7*a. Suppose a*g - 8 = -4*g. Factor 6*l**2 - 3*l**g - 2*l - 2*l**2.
l*(l - 2)
Let o(t) be the first derivative of t**6/1620 + t**5/540 + t**3 + 2. Let j(x) be the third derivative of o(x). Solve j(y) = 0 for y.
-1, 0
Let g(f) be the second derivative of -2*f**7/7 - 3*f**6/2 - 3*f**5 - 5*f**4/2 + 3*f**2/2 + 11*f. Find b such that g(b) = 0.
-1, 1/4
Suppose 5 = n + 2. Let p be (-3)/5 - n/(-5). Determine k, given that p*k**5 + 2*k**4 + 2*k**3 - k**3 + k**5 = 0.
-1, 0
Suppose -i = -2*i. Suppose i = -2*u - u. Factor -2/9*n**2 + 0 - 2/9*n**5 - 2/3*n**4 - 2/3*n**3 + u*n.
-2*n**2*(n + 1)**3/9
Let v(n) = 5*n**3 - 18*n**2 + 13*n - 3. Let b(y) = -40*y**3 + 145*y**2 - 105*y + 25. Let x(q) = 3*b(q) + 25*v(q). Determine w, given that x(w) = 0.
0, 1, 2
Suppose -5*r = -3*r. Solve r*k**3 - 3*k**2 + 2*k**3 - k**2 = 0 for k.
0, 2
Let j(a) be the third derivative of -a**6/120 + a**5/15 - a**4/6 - 15*a**2. Factor j(c).
-c*(c - 2)**2
Let t = -3 + 2. Let a be (-6)/(-21) - (-1 - t). Factor -2/7*f - 2/7*f**5 - 2/7*f**4 - a + 4/7*f**3 + 4/7*f**2.
-2*(f - 1)**2*(f + 1)**3/7
Let n(q) be the third derivative of q**7/2520 - q**6/720 - q**4/24 + 4*q**2. Let y(f) be the second derivative of n(f). Factor y(h).
h*(h - 1)
Let t(r) be the second derivative of r**6/15 - r**5/2 + 5*r**4/6 + 5*r**3/3 - 6*r**2 + 3*r. Suppose t(d) = 0. What is d?
-1, 1, 2, 3
Let s = -30 + 32. Solve 15/2*r**5 + 21/2*r**4 - 9/2*r**3 + 0 - 3*r - 21/2*r**s = 0 for r.
-1, -2/5, 0, 1
Let a be 30/12*8/10. Determine j so that -3*j**5 - 3*j**4 - 12*j**3 - 2 - 8*j**3 - 20*j**a - 7*j**4 - 10*j + j**5 = 0.
-1
Let q(g) be the third derivative of g**8/1848 - g**6/660 + 3*g**2. Solve q(u) = 0.
-1, 0, 1
Let r(x) = x + 2. Let h be r(0). Find v, given that h*v + 2*v**2 + 0*v**5 - 4*v**3 - v + 2*v**4 + 3*v**5 - 4*v**2 = 0.
-1, 0, 1/3, 1
Find o, given that 7*o**4 + 2*o**2 + 5*o - 4*o - 3*o**4 - 7*o**3 = 0.
-1/4, 0, 1
What is a in -1029/4 + 735/2*a + 33/2*a**3 - 126*a**2 - 3/4*a**4 = 0?
1, 7
Let t(z) be the third derivative of -z**5/180 - z**4/12 - z**3/2 - 11*z**2. Factor t(y).
-(y + 3)**2/3
Let t(u) be the second derivative of -u**7/8820 + u**6/840 - u**5/210 + u**4/12 - u. Let d(j) be the third derivative of t(j). Let d(f) = 0. Calculate f.
1, 2
Let c = -9 - -20. Let b be c/30 - 24/(-180). Factor 0 - b*g**2 + 0*g + 1/2*g**3.
g**2*(g - 1)/2
Let u(k) = -7*k**2 + 7*k + 6. Let v = 7 - 2. Let a(t) = 6*t**2 - 6*t - 5. Let n(g) = v*u(g) + 6*a(g). Factor n(l).
l*(l - 1)
Let d be (-2)/((-2)/3 - 6/(-36)). Let 3/5*m**d + 1/5*m**3 + 0 - 3/5*m**2 - 1/5*m = 0. Calculate m.
-1, -1/3, 0, 1
Suppose 129 = -i + 131. Solve 64/9*z + 2/9*z**4 + 16/9*z**3 + 16/3*z**i + 32/9 = 0.
-2
Let t(q) be the second derivative of 1/12*q**4 + 0 - 2/3*q**3 + 1/30*q**5 - 1/2*q**2 + 2*q. Let x(i) be the first derivative of t(i). Factor x(f).
2*(f - 1)*(f + 2)
Let d be ((-8)/(-6))/(10/15). Let q = 7 - d. What is p in -4*p**5 + q*p**5 - 4 + p - 2*p**3 + 3 + 2*p**2 - p**4 = 0?
-1, 1
Let j(m) be the second derivative of m**7/21 + 2*m**6/15 - m**5/10 - m**4/3 - 3*m. Factor j(g).
2*g**2*(g - 1)*(g + 1)*(g + 2)
Let a be 2/(-21) - 220/(-105). Suppose 0 - 1/3*o**a + 2/3*o = 0. Calculate o.
0, 2
Let n(p) be the third derivative of -p**7/1470 - p**6/420 - p**5/420 + 7*p**2. Factor n(o).
-o**2*(o + 1)**2/7
Let o(w) be the first derivative of -w**3/3 - 3*w**2/2 + 4*w + 11. Factor o(s).
-(s - 1)*(s + 4)
Let i(q) = -12*q**3 + 22*q**2 - 6*q + 2. Let b(r) = -12*r**3 + 23*r**2 - 5*r + 3. Let s(c) = -2*b(c) + 3*i(c). Factor s(l).
-4*l*(l - 1)*(3*l - 2)
Let p = -3525/4 + 882. Factor 1/4*w**2 + 1/2 - p*w.
(w - 2)*(w - 1)/4
Let x = -505 + 2528/5. Factor x*y**3 + 3/5*y**2 + 0 + 0*y.
3*y**2*(y + 1)/5
What is j in 4*j**2 + 2*j**2 - 5*j**2 + j**2 + 4 - 6*j = 0?
1, 2
Factor -12 + 2*m**4 - 3*m**5 - 2*m**2 + 0 - 16*m + 4 + 10*m**3 + m**5.
-2*(m - 2)**2*(m + 1)**3
Factor 12/5*q**3 + 432/5*q + 108/5*q**2 + 1/10*q**4 + 648/5.
(q + 6)**4/10
Let t = -23 - -23. Let m(q) be the second derivative of 1/9*q**4 + 0*q**2 + 1/9*q**3 - q - 1/63*q**7 - 2/45*q**6 + 0 + t*q**5. Factor m(w).
-2*w*(w - 1)*(w + 1)**3/3
Let a(b) be the first derivative of 2/27*b**3 - 1 + 1/18*b**4 - 1/9*b**2 + 0*b - 2/45*b**5. Factor a(q).
-2*q*(q - 1)**2*(q + 1)/9
Suppose 13*w - 40*w = 0. Find c, given that -25/4*c**3 + 1/2*c + w + 63/4*c**5 + 5/4*c**2 - 45/4*c**4 = 0.
-1/3, -2/7, 0, 1/3, 1
Let v(w) be the first derivative of w**5/5 - w**4/4 - 2*w**3/3 - 27. What is r in v(r) = 0?
-1, 0, 2
Let n(w) = w**5 - 3*w**4 - 12*w**3 + 5*w**2. Let l(i) = 8*i**5 - 28*i**4 - 108*i**3 + 44*i**2. Let j(s) = 3*l(s) - 28*n(s). What is q in j(q) = 0?
-2, 0, 1
Let y(g) = 2*g**2 - 3*g + 3. Let f(z) = -6*z**2 + 8*z - 8. Let a(m) = -3*f(m) - 8*y(m). Suppose a(l) = 0. Calculate l.
0
Let i(s) = -3*s**2 - 2*s - 6. Let k(p) = -13*p**2 - 7*p - 25. Let d(g) = -18*i(g) + 4*k(g). Factor d(j).
2*(j + 2)**2
Let m(h) = -h + 2. Let p be m(0). Suppose -5*t - 5*n + 30 = 0, 2*t + 2*t + 5*n = 27. What is i in 0*i + 0*i**t + 0 - 1/4*i**4 + 0*i**p = 0?
0
Let d(t) = t**2 - 12. Let k be d(-4). Find h, given that -10/3*h**k + 0 - 14/3*h**3 + 0*h - 4/3*h**2 = 0.
-1, -2/5, 0
Let u be 1/(((-21)/(-6))/7). Factor 2/5*v**5 + u*v**3 + 0*v + 0 + 8/5*v**4 + 4/5*v**2.
2*v**2*(v + 1)**2*(v + 2)/5
Suppose 0 = -4*i - 3 - 1. Let p be (-1)/((-5)/4 - i). Suppose 2/7*h**p - 4/7*h**3 + 4/7*h - 2/7 + 0*h**2 = 0. What is h?
-1, 1
Let c = 481/960 - 1/960. Determine h, given that 5/4*h + c*h**2 - 1/2 - 5/4*h**3 = 0.
-1, 2/5, 1
Suppose 2/3 + 0*a**4 - a - 2/3*a**2 - 1/3*a**5 + 4/3*a**3 = 0. What is a?
-2, -1, 1
Let i be ((-6)/8)/((-24)/48). Factor i*x - 1/2*x**2 - 1.
-(x - 2)*(x - 1)/2
Let o(t) be the second derivative of -7*t**6/200 + t**5/50 + 3*t**2 - 3*t. Let m(g) be the first derivative of o(g). Solve m(u) = 0.
0, 2/7
Let d be 0/(0 + -5 - -3). Let a(j) be the first derivative of 0*j + 0*j**3 + 1/20*j**4 + 4 + d*j**2. Suppose a(s) = 0. What is s?
0
Let i(x) be the first derivative of 9/5*x**4 + 8/15*x**2 + 0*x + 2/3*x**5 + 4/45*x**6 + 2 + 88/45*x**3. Factor i(s).
2*s*(s + 2)**3*(4*s + 1)/15
Let f(i) = -8*i**3 - i**2 + i + 1. Let d be f(-1). Let a = 10 - d. Factor 0*w**2 + w**2 + 2*w**4 + w**2 + 4*w**a.
2*w**2*(w + 1)**2
Let k(r) be the third derivative of r**7/70 + r**6/40 - r**5/20 - r**4/8 - 2*r**2. Suppose k(f) = 0. What is f?
-1, 0, 1
Let g(t) be the first derivative of -4*t**5/5 - 2*t**4 + 16*t**3/3 + 4*t**2 - 12*t + 16. Find i such that g(i) = 0.
-3, -1, 1
Let p(y) be the first derivative of 2*y**3/33 - 7*y**2/11 + 12*y/11 + 39. Factor p(x).
2*(x - 6)*(x - 1)/11
Let n(o) be the second derivative of o**5/50 + 3*o**4/10 + 9*o**3/5 + 27*o**2/5 + 16*o. Factor n(p).
2*(p + 3)**3/5
Let q(p) be the second derivative of p**2 + p + 0*p**3 + 0 - 2/75*p**5 - 1/60*p**4. Let u(j) be the first derivative of q(j). What is g in u(g) = 0?
-1/4, 0
Determine x, given that 4/7*x**2 - 2/7*x