 is z in r(z) = 0?
0, 1, 2
Let b(n) = 3*n**4 - 3. Let f(c) = 8*c**4 + c**3 - c - 8. Let l(a) = 17*b(a) - 6*f(a). Find x such that l(x) = 0.
-1, 1
Find v such that 2/13*v**2 - 6/13*v + 0 = 0.
0, 3
Let v(s) be the third derivative of -s**10/75600 + s**8/10080 - s**5/12 - 3*s**2. Let z(u) be the third derivative of v(u). Let z(x) = 0. What is x?
-1, 0, 1
Suppose 6*p**5 - 19*p**3 - 6*p**2 + p - 2*p**5 - 9*p**4 + 32*p**3 - 3*p**4 = 0. Calculate p.
0, 1/2, 1
Let k(l) be the first derivative of l**6/15 + 4*l**5/25 - 4*l**4/5 + 4*l**3/15 + 7*l**2/5 - 8*l/5 - 22. Factor k(g).
2*(g - 1)**3*(g + 1)*(g + 4)/5
Suppose 2*c = -4*c. Determine y so that 2*y + 0*y**4 + y**3 + 2*y**2 - 3*y**3 + c*y**3 - 2*y**4 = 0.
-1, 0, 1
Let g(p) = -p**4 + 3*p**3 + 9*p**2 + p. Let s(k) = -2*k**4 + 7*k**3 + 19*k**2 + k + 1. Let i(n) = 13*g(n) - 6*s(n). Solve i(q) = 0.
-3, -2, 1
Let j(u) be the third derivative of -u**7/840 + u**6/120 - u**5/40 + u**4/24 - 2*u**3/3 + 9*u**2. Let o(f) be the first derivative of j(f). Factor o(i).
-(i - 1)**3
Let f be 22/(1 + 1) + -2. Let y be 5/((-15)/f) + 3. Suppose y - 2/7*h**4 + 0*h**3 + 0*h + 2/7*h**2 = 0. Calculate h.
-1, 0, 1
Let l(t) be the second derivative of -3*t**5/20 + 17*t**4/20 - 8*t**3/5 + 6*t**2/5 - 2*t. Factor l(z).
-3*(z - 2)*(z - 1)*(5*z - 2)/5
Let c be 1 + (5 - (-3 - -2)). Find y, given that 1 + y + 3*y**4 + 3*y**4 - 2*y**2 - 2*y**3 + 2*y**4 - c*y**4 + y**5 = 0.
-1, 1
Suppose -4*j - 24 = -6*j. Let s be (-6)/16*j/(-18). Factor -s*o + 0 - 1/4*o**2.
-o*(o + 1)/4
Let q(t) be the third derivative of t**8/168 + 2*t**7/105 - t**6/60 - t**5/15 - 3*t**2. Factor q(i).
2*i**2*(i - 1)*(i + 1)*(i + 2)
Suppose 0*k - 4*k + 2*g + 6 = 0, -5*k - 2*g = 15. Let a(h) = -h**2 - h. Let p(c) = 12*c**2 + 8*c - 4. Let q(v) = k*p(v) - 10*a(v). What is f in q(f) = 0?
-1, 2
Let x(y) = -y**3 - 6*y**2 - 5*y + 2. Let k be x(-5). Suppose -s = 4*s - 10. Let -k - 3*q**2 + 0*q**2 + q - 2*q**s + 6*q**2 = 0. What is q?
-2, 1
Let o(p) be the first derivative of 4/3*p - 1/3*p**3 + 5 + 0*p**2 + 1/12*p**4. Factor o(v).
(v - 2)**2*(v + 1)/3
Let y(s) = s + 13. Let p be y(-11). Factor -4*f**3 - 4*f + p*f**4 + 2*f**2 + 4*f.
2*f**2*(f - 1)**2
Let b be (3 - 2) + (46 - -1). Let k be b/20*(-10)/(-3). Factor 12*t**3 + 0*t + k*t**2 + 2*t**5 + 2*t + 8*t**4 + 0*t**5.
2*t*(t + 1)**4
Suppose 0*o = 4*o + 4. Let z be -4*o*(-3)/(-9). Solve 2/3*b**2 + 2/3 + z*b = 0 for b.
-1
Suppose 4*a = a. Suppose 0 = 5*c + 4*c + 3*c. Factor a*f + 1/2*f**4 + 1/2 - f**2 + c*f**3.
(f - 1)**2*(f + 1)**2/2
Suppose -2/15*n**2 - 2/15*n**4 + 0*n + 0 - 4/15*n**3 = 0. What is n?
-1, 0
Suppose -83*f = -73*f. Factor f + 3/2*b**3 + 6*b + 6*b**2.
3*b*(b + 2)**2/2
Let z = 28 - 24. Factor 0*p**2 + 1/2*p**3 - p**z - 3/2*p**5 + 0*p + 0.
-p**3*(p + 1)*(3*p - 1)/2
Let s(t) be the third derivative of 2*t**7/735 + t**6/105 + t**5/105 - 47*t**2. Determine z, given that s(z) = 0.
-1, 0
Let k be (4/(-3) - -1)*-9. Determine p so that 5*p**5 - 9*p**5 + 2*p**2 - 2*p**4 + k*p - 4*p + 5*p**5 = 0.
-1, 0, 1
Suppose 0 = -2*q + 6, 0 = -0*y + 5*y - q - 592. Let w = y - 593/5. Factor 0 + 2/5*c**2 + w*c.
2*c*(c + 1)/5
Let n(h) be the first derivative of -h**6/4 - 9*h**5/10 - 3*h**4/4 + h**3 + 9*h**2/4 + 3*h/2 - 4. Find k, given that n(k) = 0.
-1, 1
Determine h so that -28*h - 32/3*h**2 - 24 - 4/3*h**3 = 0.
-3, -2
Let l(z) = z**3 - 5*z**2 + 2*z. Let o be l(4). Let h = o + 11. Factor a - 6*a - h*a + 8 - 6*a**2.
-2*(a + 2)*(3*a - 2)
Let g = 0 - -4. Suppose 2*j**2 + 4*j**3 + 3*j**g - j**4 + 0*j**2 = 0. What is j?
-1, 0
Let l(u) = 5*u**3 + 3*u**2 + 5*u - 7. Let h(g) = -3*g**3 - 2*g**2 - 3*g + 4. Let s(j) = 7*h(j) + 4*l(j). Find b such that s(b) = 0.
-1, 0
Let j(z) = 2*z + 10. Let i be j(-5). Factor 8*k - 5*k**2 + i*k**2 - 6 + 3*k**2.
-2*(k - 3)*(k - 1)
Let y(w) be the second derivative of -7/24*w**4 - 1/3*w**3 - 1/12*w**5 - 3*w + 0 + 1/2*w**2. Let t(m) be the first derivative of y(m). Factor t(z).
-(z + 1)*(5*z + 2)
Let n(q) be the second derivative of 9*q**5/100 + 13*q**4/20 + 8*q**3/5 + 6*q**2/5 - 12*q. Factor n(y).
3*(y + 2)**2*(3*y + 1)/5
Suppose d = 4*r + 2*d - 43, -2*r + 2*d = -24. Factor r*u**2 - 2*u**3 - 5*u**2 - u**3.
-3*u**2*(u - 2)
Suppose -2*f + f + 2 = 0. Factor -1 + f*h**4 - 2*h**2 + 1 - 2*h**3 - 2*h**5 + 4*h**3.
-2*h**2*(h - 1)**2*(h + 1)
Let y(k) be the first derivative of k**8/336 + k**7/840 + 4*k**3/3 + 4. Let a(v) be the third derivative of y(v). Suppose a(q) = 0. Calculate q.
-1/5, 0
Let m(x) = -20*x + 64. Let h be m(3). Factor -6/5*t**3 + 2*t**2 - 4/5*t - 2/5*t**h + 0 + 2/5*t**5.
2*t*(t - 1)**3*(t + 2)/5
Let r be 280/(-36) + (-2)/9. Let p = r + 11. Factor d**p - d + 2*d - d**2 - 6*d**3 - 3*d**4.
-d*(d + 1)**2*(3*d - 1)
Let f = 4 + 21. Let b = f - 18. Find l, given that -b*l**4 - 4*l**2 + 50*l**5 + 21*l**3 - 11*l**4 + 7*l**3 - 47*l**4 = 0.
0, 2/5, 1/2
Let h(v) be the third derivative of v**7/1260 - v**6/180 + v**5/60 - v**4/36 + v**3/3 + 2*v**2. Let n(w) be the first derivative of h(w). Factor n(i).
2*(i - 1)**3/3
Suppose -4*o + 9 = -o. Let c be o/3 + -3 - -2. Factor 1/2 - 1/2*d**2 + c*d.
-(d - 1)*(d + 1)/2
Suppose -128*n + 20 = -118*n. Factor -2/7*v**n - 12/7*v - 18/7.
-2*(v + 3)**2/7
Let o = 11 - 7. Factor 3*n**4 + 6*n**o - n**3 - 10*n**4.
-n**3*(n + 1)
Suppose 2*i - 8 = -2. Suppose -2*f**2 - 6*f**3 - 4*f**4 + 2*f**3 + 0*f**i + f**2 = 0. Calculate f.
-1/2, 0
Let m(q) = q - 5. Let h be m(8). Let g = 6 - h. Determine f, given that -24/5*f**2 - 2*f**g - 4/5 - 18/5*f = 0.
-1, -2/5
Suppose 2 = -5*o - 8. Let v = 2 + o. Suppose 0*c**3 - 1/4*c**4 + 0*c + v + 1/4*c**2 = 0. What is c?
-1, 0, 1
Let g = 11 - 7. Factor -n**g - 5*n**3 + 2*n**4 + 6*n**3.
n**3*(n + 1)
Suppose 0 = 3*h - 10 - 5. Suppose -x = -b - h, -b = -8*x + 4*x + 5. Find a, given that -1/2*a**2 - a + x = 0.
-2, 0
Determine m so that -1/2 + 1/2*m + 1/2*m**2 - 1/2*m**3 = 0.
-1, 1
Let c(q) be the second derivative of q**7/147 - 2*q**6/35 + q**5/5 - 8*q**4/21 + 3*q**3/7 - 2*q**2/7 - 3*q. Suppose c(y) = 0. Calculate y.
1, 2
Let l(i) be the third derivative of -i**7/735 + i**6/420 + i**5/210 - i**4/84 + 8*i**2. Suppose l(p) = 0. Calculate p.
-1, 0, 1
Suppose -25*y + 9*y + 32 = 0. Factor 0*d - 3/7*d**3 + 3/7*d**5 + 3/7*d**y - 3/7*d**4 + 0.
3*d**2*(d - 1)**2*(d + 1)/7
Let o(k) be the third derivative of k**6/420 - k**5/105 + k**4/84 + 8*k**2. Suppose o(m) = 0. Calculate m.
0, 1
Let f = 26545/48 + -553. Let j(w) be the third derivative of 1/240*w**6 - f*w**4 - 1/120*w**5 + 2*w**2 + 1/420*w**7 + 0*w**3 + 0 + 0*w. Solve j(v) = 0 for v.
-1, 0, 1
Suppose 0 = -9*k + 7*k. Let n = 2 - k. Factor -1/4*t**n - 1/4*t**5 - 3/4*t**3 + 0 + 0*t - 3/4*t**4.
-t**2*(t + 1)**3/4
Let o(f) be the third derivative of f**9/1512 - f**7/420 - 5*f**3/3 + 2*f**2. Let j(w) be the first derivative of o(w). Solve j(u) = 0.
-1, 0, 1
Let v(k) be the first derivative of k**6/24 + 5. Find s, given that v(s) = 0.
0
Let r(q) be the first derivative of 2*q**5/5 - 3*q**4 + 8*q**3 - 8*q**2 - 8. Determine n so that r(n) = 0.
0, 2
Let a(w) = 2*w**2 + w + 6. Let r be a(-7). Let m = 681/7 - r. Suppose 2/7*h + m*h**2 + 0 = 0. What is h?
-1, 0
Factor -5*c**2 + 7 + 5*c**2 - 10 - 3*c**4 + 6*c**2.
-3*(c - 1)**2*(c + 1)**2
Let b(a) be the third derivative of -a**6/45 + a**5/30 + a**4/4 + 2*a**3/9 + 10*a**2. Solve b(y) = 0 for y.
-1, -1/4, 2
Let d(m) be the second derivative of m**5/50 + m**4/6 + 2*m**3/5 - 11*m + 1. Find u such that d(u) = 0.
-3, -2, 0
Let f**5 - 3*f - 8 + 3*f - 2*f**3 + 3*f**3 - 4*f**4 - 4*f + 10*f**2 = 0. What is f?
-1, 2
Let q(w) be the third derivative of 0*w**3 + 1/210*w**7 - 1/336*w**8 + 0*w**5 + 3*w**2 + 0*w**4 + 0 + 0*w**6 + 0*w. Factor q(l).
-l**4*(l - 1)
Let d = 20 + -11. Factor y**2 - 7*y + y + 0*y + d.
(y - 3)**2
Let i(z) be the first derivative of z**4/6 + 10*z**3/9 + 8*z**2/3 + 8*z/3 - 5. Factor i(j).
2*(j + 1)*(j + 2)**2/3
Suppose 0 = -6*h - h. Let m(t) be the second derivative of h + 1/9*t**3 + 0*t**4 - 1/30*t**5 - 4*t + 0*t**2. Suppose m(x) = 0. Calculate x.
-1, 0, 1
Let u = -13 + 13. Let m be -1 + (-1 - (-2 + u)). Factor m - 10/3*g**2 + 8/3*g**3 + 2/3*g.
2*g*(g - 1)*(4*g - 1)/3
What is a in -a + 0*a**3 - a**4 + 0*a + 2 - a**2 - 2*a + 3*a**3 = 0?
-1, 1, 2
Let a(q) = q**2. Let m(t) = 10*t**3 + 34*t**2 + 14*t - 4. Let b(f) = 12*a(f) - 2*m(f). What is j in b(j) = 0?
-2, -1, 1/5
Let g(r) 