 = 0.
0, 1
Solve 3/8*a**3 + 0 + 0*a + 1/8*a**5 - 1/8*a**2 - 3/8*a**4 = 0 for a.
0, 1
Suppose 0 = 2*b - b + 2*f - 12, 4*f = 4*b + 12. Suppose -3/2*q**b + 0 - 3/2*q = 0. Calculate q.
-1, 0
Let g = -159 + 485/3. Find c, given that -6*c**3 - g*c + 8*c**2 + 0 + 2*c**5 - 4/3*c**4 = 0.
-2, 0, 2/3, 1
Let o(c) be the third derivative of 0*c**4 - 1/735*c**7 - 1/21*c**3 + 0*c + 0 + c**2 + 0*c**6 + 1/105*c**5. Let o(a) = 0. What is a?
-1, 1
Let j(l) = -7*l**5 - 5*l**4 + 9*l**3 - 2*l + 5. Let r(u) = -u**3 + 1 + 0*u**5 + u**5 - u**2 + 0. Let s(p) = -j(p) + 5*r(p). Suppose s(a) = 0. What is a?
-1, -2/3, 0, 1/4, 1
Let r(n) be the second derivative of -n**6/60 + n**5/10 - n**4/6 + 16*n. Factor r(m).
-m**2*(m - 2)**2/2
Let p(n) be the third derivative of -n**2 - 1/120*n**5 + 0*n**6 + 0*n + 0*n**3 + 0 + 1/420*n**7 + 0*n**4. Factor p(y).
y**2*(y - 1)*(y + 1)/2
Let u(s) = 38*s**5 + 41*s**4 + 6*s**3 - 4*s**2 + 2*s - 2. Let j(n) = n**5 + n**4 + n**3 + n - 1. Let i(k) = -2*j(k) + u(k). Determine r, given that i(r) = 0.
-2/3, 0, 1/4
Let z be -1 - (800/(-70))/8. Determine f so that -6/7*f**2 + 0*f**4 + z*f**5 + 0*f + 0 - 9/7*f**3 = 0.
-1, 0, 2
Suppose 3*j + 2*v = 17, 2*v = -6*j + 7*j - 3. Let -j*l**2 - 3*l**3 - 1/3 - 7/3*l = 0. Calculate l.
-1, -1/3
Suppose -6*d - 31 + 43 = 0. Let 0 - m + 1/2*m**d = 0. What is m?
0, 2
Let t be (-3)/8*20/(-90)*21. Let i = 1 - -3. Factor -3/4*x**2 - 1/2 - 7/4*x + t*x**3 + 5/4*x**i.
(x - 1)*(x + 1)**2*(5*x + 2)/4
Let m(c) = -c**4 - 4*c**3 - 3*c**2 - 2*c + 2. Suppose -2*p + 2 = -0*p. Let r(x) = x**3 + x**2 + x - 1. Let k(f) = p*m(f) + 2*r(f). Factor k(s).
-s**2*(s + 1)**2
Let z(q) be the third derivative of -q**6/90 - q**5/15 + 7*q**3/6 + 6*q**2. Let f(d) be the first derivative of z(d). Factor f(n).
-4*n*(n + 2)
Let y(g) be the third derivative of -g**7/5040 - g**6/1080 + g**5/720 + g**4/72 - g**3/6 + 5*g**2. Let x(q) be the first derivative of y(q). Factor x(v).
-(v - 1)*(v + 1)*(v + 2)/6
Let t(a) be the third derivative of a**6/40 + a**5/20 - a**4/4 + 3*a**2. Let t(o) = 0. What is o?
-2, 0, 1
Let l(t) = t**4 - t**3 + t**2 + t. Let k(f) = 9*f**4 - 3*f**3 - 3*f**2 + 3*f + 6. Let o(b) = -k(b) + 6*l(b). Factor o(x).
-3*(x - 1)**2*(x + 1)*(x + 2)
Suppose 2 = -w - 2*i, w = -6*i + 9*i + 13. Factor 0 + 8/9*z**w - 10/9*z**3 + 2/9*z**2 + 0*z.
2*z**2*(z - 1)*(4*z - 1)/9
Let k(m) be the third derivative of -1/60*m**5 + 0*m + 1/240*m**6 + 0 + 1/48*m**4 - 4*m**2 + 0*m**3. Determine s so that k(s) = 0.
0, 1
Let j be 1/(-1)*(-30)/75. Suppose j - 2/5*m**2 + 0*m = 0. Calculate m.
-1, 1
Let w(p) = p**4 + 15*p**3 + 5*p**2 - 3. Let n(b) = 12*b**4 + 164*b**3 + 56*b**2 - 32. Let z be 8/(0 - (-4)/16). Let u(y) = z*w(y) - 3*n(y). Factor u(l).
-4*l**2*(l + 1)*(l + 2)
Suppose 3*o + 12 = 5*o. Let t(y) be the third derivative of -1/24*y**4 - 2*y**2 + 0*y**o + 1/105*y**7 - 1/30*y**5 + 1/336*y**8 + 0*y + 0*y**3 + 0. Factor t(p).
p*(p - 1)*(p + 1)**3
Let o(g) = -g + 9. Let i be o(7). What is z in -z**4 - 1 - 2*z**2 + 4*z**i - z + 0*z**3 - z**5 + 2*z**3 = 0?
-1, 1
Factor -4*b**4 + 5*b**4 + b**5 - 54*b**3 + 53*b**3 - b**2.
b**2*(b - 1)*(b + 1)**2
Let x(z) be the second derivative of 2*z + 1/70*z**5 + 0 + 1/7*z**3 - 1/7*z**2 - 1/14*z**4. Find t, given that x(t) = 0.
1
Let t(x) be the second derivative of 0 + 0*x**2 + 2/21*x**4 - 1/21*x**3 - 3*x - 3/70*x**5. Solve t(a) = 0 for a.
0, 1/3, 1
Let t = 84 - 82. Factor 0 - u**t + 3/2*u**3 - 1/2*u**4 + 0*u.
-u**2*(u - 2)*(u - 1)/2
Let w be 1*(-136)/(-22) + -6. Factor w*h**2 + 2/11*h - 4/11.
2*(h - 1)*(h + 2)/11
Suppose 3*s - 48 = 5*w + 83, w - 2*s + 29 = 0. Let k be ((-4)/10)/(20/w). Determine c so that 1/2*c**4 - k*c**3 + 1/2*c + 0 - 1/2*c**2 = 0.
-1, 0, 1
Let b = 1/788 - -49/197. Factor 3/4*t**4 + 0 + 0*t + b*t**2 - t**3.
t**2*(t - 1)*(3*t - 1)/4
Let i = 122 + -119. Let s(k) be the third derivative of -1/12*k**4 - 3*k**2 - 1/60*k**6 + 0*k + 0 + 1/15*k**5 + 0*k**i. Find t, given that s(t) = 0.
0, 1
Let m(y) = -3*y**4 + 9*y**3 + 5*y + 5. Let h(z) = 3*z**4 - 9*z**3 - 6*z - 6. Let a(n) = -5*h(n) - 6*m(n). Factor a(t).
3*t**3*(t - 3)
Let k(s) be the first derivative of -s**5 + 15*s**4/4 - 2. Factor k(p).
-5*p**3*(p - 3)
Let b(t) be the second derivative of -t**4/18 + 2*t**3/9 + t**2 + 14*t. Let b(k) = 0. What is k?
-1, 3
Let h(u) be the first derivative of 0*u**3 + 3 + 0*u - 1/10*u**2 + 1/20*u**4. Let h(q) = 0. What is q?
-1, 0, 1
Suppose -25*z + 19*z = -12. Solve -4/3*m + 2/3*m**z + 2/3 = 0.
1
Let l(k) = 3*k**2 + 4*k + 4. Let u be l(-1). Let p(q) be the first derivative of -2/3*q**u + 0*q + 2/7*q**2 - 1. Solve p(n) = 0 for n.
0, 2/7
Let b(h) be the first derivative of -h**7/1120 + h**6/480 + 2*h**3/3 - 3. Let n(k) be the third derivative of b(k). Factor n(g).
-3*g**2*(g - 1)/4
Suppose -4*z - 35 = 3*k - 8, -4*k - 4 = 0. Let a be 2 + z/(-21) - 2. Determine y, given that 4/7*y - a - 2/7*y**2 = 0.
1
Let k(y) be the second derivative of y**6/6 + y**5/2 - 5*y**3/3 - 5*y**2/2 + 2*y. Solve k(z) = 0 for z.
-1, 1
Factor 4*c**2 - 16*c**2 + 9*c**2.
-3*c**2
Let x be (-6)/(2*1/(-3)). Let 6*u - u**2 + 0 - x + 0*u = 0. What is u?
3
Suppose w - 6 + 1 = 0. Let n be 8/6 - 4/(-6). Factor -12*u**3 + 0*u**5 + 8*u**4 - 6*u**w + 8*u**4 + n*u.
-2*u*(u - 1)**3*(3*u + 1)
Let s be ((-11)/4 + 2)*(-72)/81. Let b(x) be the first derivative of x**2 - s*x**3 + 2/5*x**5 + 2 + 0*x - 3/8*x**4 - 1/12*x**6. Let b(r) = 0. What is r?
-1, 0, 1, 2
Suppose l = -0*l. Suppose 0 = -4*s - l*s. Factor -3/5*v**3 + s*v**2 - 12/5*v**4 + 0*v + 0 - 9/5*v**5.
-3*v**3*(v + 1)*(3*v + 1)/5
Let r(a) be the first derivative of -a**4/6 - 4*a**3/9 + 10. Factor r(t).
-2*t**2*(t + 2)/3
Let q(p) be the first derivative of p**7/21 + p**6/5 + p**5/5 + 2*p + 1. Let l(i) be the first derivative of q(i). Determine r, given that l(r) = 0.
-2, -1, 0
Let z(s) be the third derivative of s**5/12 + 5*s**4/8 - 10*s**3/3 + 27*s**2. Factor z(j).
5*(j - 1)*(j + 4)
Let f be 12/4 + 891/(-21). Let l = -268/7 - f. Let l*r**4 + 4/7 - 6/7*r**5 - 12/7*r**2 - 2/7*r + 8/7*r**3 = 0. Calculate r.
-1, -2/3, 1
Suppose -z**4 + 4*z + 5*z**3 - 8*z**2 + 4*z - 4*z = 0. Calculate z.
0, 1, 2
Let f(d) be the second derivative of -d**5/180 + d**4/18 - 2*d**3/9 - d**2 - 2*d. Let r(p) be the first derivative of f(p). Find s such that r(s) = 0.
2
Let g(j) = 2*j**3 - j**2 + 5*j. Let z(f) = f**3 + 2*f. Let x(n) = 2*g(n) - 5*z(n). Suppose x(y) = 0. What is y?
-2, 0
Suppose -9*u**3 - 12*u**3 - 3*u + 4 - 20*u**2 - u + 9*u**3 = 0. Calculate u.
-1, 1/3
Let j(a) be the second derivative of 3*a**5/160 + 5*a**4/32 + a**3/2 + 3*a**2/4 - 11*a. Factor j(h).
3*(h + 1)*(h + 2)**2/8
What is a in 9*a - 16*a + 5*a**3 + 4*a**2 + 7*a = 0?
-4/5, 0
Solve -98/3*j - 224/3*j**2 - 32/3*j**4 + 0 - 52*j**3 - 2/3*j**5 = 0 for j.
-7, -1, 0
Solve 0*y + 0 + 3/2*y**4 + y**2 - 5/2*y**3 = 0.
0, 2/3, 1
Let i(x) be the first derivative of x**3/4 - 7*x**2/8 + x/2 + 7. Find u such that i(u) = 0.
1/3, 2
Let v(r) = -r + 2. Let b = -1 + -1. Let q be v(b). Factor -z**q - 5*z**3 + 3*z**3 - z**4.
-2*z**3*(z + 1)
Let 2/7*k**5 + 4/7*k**2 - 4/7*k**3 - 2/7 + 2/7*k - 2/7*k**4 = 0. Calculate k.
-1, 1
Let x = -100 - -100. Let s(q) be the second derivative of -2/5*q**4 - 2/5*q**2 + q + 3/5*q**3 + 1/10*q**5 + x. Determine m so that s(m) = 0.
2/5, 1
Let j(s) = -2*s**2 + 2*s - 3 + 0*s**2 - s**2 + 2*s**2. Let d(t) = -2*t**2 + 3*t - 4. Let n(y) = 4*d(y) - 6*j(y). Suppose n(o) = 0. What is o?
-1, 1
Let n(i) be the third derivative of i**8/168 + 4*i**7/105 + i**6/10 + 2*i**5/15 + i**4/12 - 15*i**2. Factor n(u).
2*u*(u + 1)**4
Let l(k) = 20*k**2 - 57*k - 7. Let x be l(3). What is s in -1/2*s**x - 1/2 + s = 0?
1
Factor 3/5*s + 6/5*s**2 + 3/5*s**3 + 0.
3*s*(s + 1)**2/5
Let t be (-8)/28 + (-48)/(-21). Suppose 2*l = -v + 9, -v - t = 4*l - 15. Factor 3/2*p - 1/2*p**l - 1.
-(p - 2)*(p - 1)/2
Let m(y) = -y**3 + 3*y**2 - 1. Let h be m(2). Suppose -h*v**3 + v + 10*v**2 + 2*v - 7*v**2 - 3*v**4 = 0. What is v?
-1, 0, 1
Let z = -16 - -27. Let q = -8 + z. Find u such that 2*u**2 - u**2 - 2*u + q*u - 2 = 0.
-2, 1
Factor -4*l**2 + 6*l**2 + 8*l**3 - 10*l**3 + 0*l**2.
-2*l**2*(l - 1)
Let k be (-2 + (-6)/(-3))*-1. Suppose 2*x - 4*x = k. Factor -3/2*w**2 + 9/4*w**3 + x + 1/4*w.
w*(3*w - 1)**2/4
Find r such that 16/5*r**3 - 4/5 - 11/5*r**2 + 3*r**4 - 16/5*r = 0.
-1, -2/3, -2/5, 1
Suppose 21 = x - 4*s, -3*x 