t(x). What is w in -7*w - 2*w - w + 4*w - 4 - 2*w**c = 0?
-2, -1
Let u(x) be the first derivative of x**4/28 - 4*x**3/21 - 3*x**2/14 + 18*x/7 - 11. Find p such that u(p) = 0.
-2, 3
Let i be -4 + 9 - (-1 + 1). Suppose -3*r - 4*q + 20 = 0, 3*r + 18 = i*r + 5*q. Factor 1 + f**2 - 6*f**4 + 3*f**r - 2*f**3 + 6*f + f**2 - f**5 - 3*f.
-(f - 1)*(f + 1)**4
Let n(h) = h**3 + 11*h**2 + 6*h - 8. Let g be n(-10). Let m = g + -94/3. Find q, given that -4/3*q**2 + 0 - 2/3*q - m*q**3 = 0.
-1, 0
Let v(h) = 6*h**2 + 5. Suppose n + 1 = -1. Let l(w) = -w**2 - 1. Let g(a) = n*v(a) - 11*l(a). Factor g(f).
-(f - 1)*(f + 1)
Let r(l) be the third derivative of l**8/56 - 2*l**7/105 - l**6/20 + l**5/15 - 7*l**2. What is k in r(k) = 0?
-1, 0, 2/3, 1
Let g be ((-178)/(-10))/(2/(-5)). Let n = 48 + g. Factor -n*z**2 - 1 - 9/2*z.
-(z + 1)*(7*z + 2)/2
Let r = -2 - -5. Solve 3*n**r + 2*n**4 - 2*n**5 + 3*n**3 - 4*n**4 - 2*n**3 = 0.
-2, 0, 1
Suppose w = -3 + 9. Let i be w/9 + (-6)/36. Solve 0*k**2 - i*k**4 + 1/2*k**3 + 0*k + 0 = 0 for k.
0, 1
Let u(w) be the first derivative of -w**8/1680 + w**7/420 + w**6/360 - w**5/60 - 3*w**3 + 7. Let o(h) be the third derivative of u(h). Factor o(l).
-l*(l - 2)*(l - 1)*(l + 1)
Suppose 2/7*i**2 + 8/7 - 8/7*i = 0. Calculate i.
2
Suppose 2 = -5*c - 4*q, -6 - 7 = c + 5*q. Suppose -1/4*h**3 + 1/4 + 1/4*h - 1/4*h**c = 0. Calculate h.
-1, 1
Determine r so that -5*r**2 + 191*r - 191*r + 20 = 0.
-2, 2
Let z = 10985/21 + -523. Let w(u) be the first derivative of 1/7*u**2 + 0*u - 2 + z*u**3. Solve w(x) = 0.
-1, 0
Let q(r) be the third derivative of -r**9/60480 + r**7/5040 - r**5/480 + r**4/12 + 4*r**2. Let u(m) be the second derivative of q(m). Factor u(l).
-(l - 1)**2*(l + 1)**2/4
Let m(c) = -7*c**2. Let v(x) = x**2. Let h(o) = m(o) + 4*v(o). Suppose h(f) = 0. Calculate f.
0
Find a such that 0*a + 1/6*a**4 + 1/6*a**2 + 0 + 1/3*a**3 = 0.
-1, 0
Let t(o) = o**2 + 9*o + 22. Let u be t(-6). Factor 4/7 + 100/7*h**3 + 2*h**5 + 80/7*h**2 + 30/7*h + 60/7*h**u.
2*(h + 1)**4*(7*h + 2)/7
Let o(q) be the third derivative of -q**5/12 + 5*q**4/4 - 15*q**3/2 + 9*q**2. Let o(d) = 0. What is d?
3
Suppose -10 = -u - 0*u + 2*t, 2*u = -t. Factor 2*n + 0 - 4*n**u + 1 + 3*n**2 - 2.
-(n - 1)**2
Let w be 2/84*-2*-2. Let c(z) be the first derivative of -1/7*z**2 + w*z**3 - 2 + 1/14*z**4 - 2/7*z. Factor c(h).
2*(h - 1)*(h + 1)**2/7
Let a(c) = -c. Let y be a(-4). Factor -12*t**2 + 0*t**4 + 11*t**2 + t**y.
t**2*(t - 1)*(t + 1)
Let t = 1529 - 160544/105. Let a(p) be the third derivative of 0*p**3 + 1/12*p**4 + 0 - 1/30*p**5 + t*p**7 + p**2 - 1/60*p**6 + 0*p. Factor a(b).
2*b*(b - 1)**2*(b + 1)
Let x(r) = r**2 + 49*r - 72. Let f(j) = -j**2 - 25*j + 36. Let u(q) = 7*f(q) + 4*x(q). Factor u(h).
-3*(h - 4)*(h - 3)
Solve 5*v + 3*v - 16*v - 8 - 2*v**2 = 0 for v.
-2
Suppose 0*n + 21 = 3*n. Factor 6*t**2 - 4*t**3 - 3*t**3 + 4*t**3 + n*t - 4*t**2 + 2.
-(t - 2)*(t + 1)*(3*t + 1)
Let a(g) be the third derivative of 0 + 1/12*g**4 + 0*g + 1/60*g**5 - 3*g**2 + 1/6*g**3. Factor a(d).
(d + 1)**2
Let w(n) = 14*n**4 + 36*n**3 + 8*n**2 + 8*n + 22. Let a(u) = -2*u**4 - 5*u**3 - u**2 - u - 3. Let c(i) = 44*a(i) + 6*w(i). Factor c(q).
-4*q*(q - 1)*(q + 1)**2
Let x(d) = 9 + 0*d - 7*d + d + 5*d. Let q be x(6). Factor 3/2*a**q + 0*a - 3/2*a**2 + 0.
3*a**2*(a - 1)/2
Let g(l) be the second derivative of l**5/90 - l**4/18 - 6*l. Find o, given that g(o) = 0.
0, 3
Let y be -2 - (-363)/(-18) - -3. Let a = -37/2 - y. Factor 0*p + 2/3*p**4 + a*p**3 - 2/3*p**2 + 0 - 2/3*p**5.
-2*p**2*(p - 1)**2*(p + 1)/3
Let x(h) = -h**3 - 9*h**2 - 20*h - 93. Let z be x(-8). Suppose 0*y**2 + 0*y - 2/5*y**z - 2/5*y**5 + 4/5*y**4 + 0 = 0. Calculate y.
0, 1
Let m(z) = z**3 + 7*z**2 + 5*z - 5. Let j be m(-6). Let c(p) = p**2 + p + 1. Let x(o) = -5*o**3 - 9*o**2 - 4*o - 2. Let g(q) = j*x(q) + 2*c(q). Solve g(k) = 0.
-1, -2/5, 0
Let i(l) = -2*l**3 + 4*l**2 + 4*l - 4. Let x(h) = -6*h**3 + 13*h**2 + 11*h - 11. Let m(d) = -11*i(d) + 4*x(d). What is a in m(a) = 0?
0, 4
Suppose 6*a = 3*a + 3. Find i, given that -1 + i**2 + a = 0.
0
Factor -12/5*u**3 - 8/5*u - 4/5*u**4 + 4/5*u**5 + 4*u**2 + 0.
4*u*(u - 1)**3*(u + 2)/5
Let w(y) = 75*y**5 - 85*y**4 - 171*y**3 + 56*y**2 + 45*y - 13. Let q(v) = -v**3 - v + 1. Let h(g) = -3*q(g) + w(g). Determine u, given that h(u) = 0.
-1, -2/3, 2/5, 2
Let w be 130/(-18) - 4/(-18). Let x be 1/w - (-3)/21. Factor x + 1/5*u - 1/5*u**2.
-u*(u - 1)/5
Let k = 83 - 80. Let y(t) be the first derivative of 1/15*t**k - 2 + 1/5*t - 1/5*t**2. Let y(c) = 0. What is c?
1
Let l be ((-6)/(-33))/(1/(-12)). Let a = l + 83/33. Factor -a - 2/3*g - 1/3*g**2.
-(g + 1)**2/3
Determine g, given that g**2 + 2 - 4*g**3 + 2*g**4 - 5*g**2 - 3*g**5 + 2*g + 5*g**5 = 0.
-1, 1
Let r(v) be the first derivative of v**4/24 - v**2/12 - 45. Factor r(n).
n*(n - 1)*(n + 1)/6
Solve 0 - 8/3*y**5 - 4/3*y + 4*y**3 + 14/3*y**4 - 14/3*y**2 = 0.
-1, -1/4, 0, 1, 2
Let y = 109 + -106. Find j such that 0 + 2*j**2 - 2/3*j - 2*j**y + 2/3*j**4 = 0.
0, 1
Let n(m) = -8*m**2 - 6*m + 22. Let o(y) = -y**2 + y - 1. Let r(x) = n(x) - 10*o(x). Factor r(i).
2*(i - 4)**2
Suppose -3*j + 2 = -2*g, -5*j + 7 - 3 = -4*g. Let v(r) be the third derivative of 0*r**3 + 2*r**2 - 1/132*r**4 + j*r + 1/330*r**5 + 0. Factor v(d).
2*d*(d - 1)/11
Suppose 3*n = -b + 13, -5 - 20 = -4*b - 3*n. Let a(t) be the second derivative of -1/120*t**6 + 1/6*t**3 + 0*t**2 - 2*t + 1/16*t**5 - 1/6*t**b + 0. Factor a(s).
-s*(s - 2)**2*(s - 1)/4
Let t(a) = 5*a. Let s be t(-1). Let h be (-13)/s + (-3)/5. Factor -w**5 - 9*w**3 + 2*w - 5*w**4 + 9*w**5 - w**5 + 5*w**h.
w*(w - 1)**2*(w + 1)*(7*w + 2)
Let b be 4/54*(4 + -3). Let a(v) be the first derivative of -b*v**3 - 4/9*v - 1 + 5/18*v**4 + 2/15*v**5 - 5/9*v**2. Determine q so that a(q) = 0.
-1, -2/3, 1
Suppose 4*s - 3 = 5*c, 5*s + 4*c + 0*c = 14. Factor 3*b**4 + 4*b**s - 4*b**4 - 5*b**2 + 3*b**3 - b**2.
-b**2*(b - 2)*(b - 1)
Suppose -19*n + 24*n = 10. Suppose z + 4*z - 25 = 0. Let -3/5*w + 1/5 + 8/5*w**z + 18/5*w**4 + 7/5*w**3 - 7/5*w**n = 0. What is w?
-1, 1/4, 1/2
Let n(z) be the first derivative of 2*z**5/15 - z**4/3 - 2*z**3/3 + 4*z**2/3 + 8*z/3 - 10. Factor n(a).
2*(a - 2)**2*(a + 1)**2/3
Let a(q) be the first derivative of q**8/504 + 2*q**7/315 - q**2/2 + 4. Let l(v) be the second derivative of a(v). Factor l(b).
2*b**4*(b + 2)/3
Factor 5*r - r**2 - 9*r**2 + 4*r**3 + 4*r**3 - 3*r**3.
5*r*(r - 1)**2
Let k(d) be the second derivative of 5*d**7/14 + 7*d**6/3 + 23*d**5/4 + 20*d**4/3 + 10*d**3/3 + 25*d. Find u such that k(u) = 0.
-2, -1, -2/3, 0
Let j(d) be the third derivative of d**6/360 - d**4/72 - 5*d**2. Factor j(c).
c*(c - 1)*(c + 1)/3
Let y(l) be the second derivative of -l + 1/3*l**2 + 0 - 2/9*l**3 + 1/18*l**4. Factor y(m).
2*(m - 1)**2/3
Let z(d) = 12*d**4 - 10*d**3 - 11. Let n(k) = -k**4 + k**3 + 1. Let h be (-1*4)/(2/(-4)). Suppose -h*p - 22 = -9*p. Let y(v) = p*n(v) + 2*z(v). Factor y(i).
2*i**3*(i + 1)
Let v = -8 - -13. Factor -20*k**3 + 2 + 0 + 10*k**4 + 20*k**2 - 3*k**5 - 2*k**v + 3*k**5 - 10*k.
-2*(k - 1)**5
Let i(a) be the third derivative of -a**6/40 - 6*a**2. Determine q, given that i(q) = 0.
0
Let x(t) be the first derivative of 4 - 1/2*t**6 + 16*t**3 - 27/2*t**2 - 21/2*t**4 + 6*t + 18/5*t**5. Factor x(g).
-3*(g - 2)*(g - 1)**4
Let h(v) = -7*v**2 + 5*v + 10. Let z(n) = n**2 - 1. Let m(k) = -h(k) - 6*z(k). Let f be m(6). Factor -1 + 0*j - j**f + 0*j**2 + 2*j.
-(j - 1)**2
Find f, given that 1/9*f**3 + 0*f + 0 - 5/9*f**2 = 0.
0, 5
Let x(q) be the third derivative of q**5/270 + q**4/27 + q**3/9 + 9*q**2. Determine l so that x(l) = 0.
-3, -1
Suppose 6*l = 7*l + 32. Let q = l + 35. Factor 2/5*g**2 - 4/5*g**q + 2/5*g + 0.
-2*g*(g - 1)*(2*g + 1)/5
Let n = 16 - -36. Let -n*f + 37*f + 54*f**2 - 3 - 2 - 1 = 0. What is f?
-2/9, 1/2
Solve -3/4*w**2 + 0*w + 1 + 1/4*w**3 = 0 for w.
-1, 2
Let n(x) = x**3 - 6*x**2 + x - 7. Let u be n(7). Let m = u - 341/7. Let -8/7*k**4 - 12/7*k**3 - 2/7*k + 0 - 8/7*k**2 - m*k**5 = 0. What is k?
-1, 0
Suppose -3*x + 6 = 4*t, 0 = 4*t + x - 2 - 0. Find a, given that 0*a + t - 1/4*a**2 = 0.
0
Let j(s) = -2*s - 4. Let t be j(-6). Find h, given that 2*h**2 + t - 7 + 2*h - 1 = 0.
-1, 0
Suppose 4*a = o - 14, -a + 3 = 3*o - 0*o. Determine b, given that 0 + o*b**3 - 2*b**4 - 2/3*b**2 + 2/3*b**5 + 0*b = 0.
0, 1
Suppose 13*p - 