 the second derivative of v**6/30 - v**4/12 + 22*v. Suppose f(o) = 0. What is o?
-1, 0, 1
Let 51*z**5 + 2*z**4 - 2*z**4 - 48*z**5 = 0. Calculate z.
0
Let o = -65 - -68. Suppose 2*m**2 + 6 - 2/9*m**o - 6*m = 0. Calculate m.
3
Suppose 3*b = 6*b - 15. Let r(d) be the first derivative of 0*d + d**2 + 3/2*d**4 + 2/5*d**b + 1 + 2*d**3. Solve r(l) = 0.
-1, 0
Factor -16/3 + 4/3*z**2 + 4*z.
4*(z - 1)*(z + 4)/3
Factor 2/9*w**3 + 2/3*w + 0 + 8/9*w**2.
2*w*(w + 1)*(w + 3)/9
Let x(s) be the first derivative of s**4/40 + s**3/10 - 2*s/5 + 45. Suppose x(q) = 0. What is q?
-2, 1
Let z(c) be the first derivative of -6 + 1/8*c**2 - 1/32*c**4 + 0*c + 1/24*c**3. Factor z(d).
-d*(d - 2)*(d + 1)/8
Let k = 10 + -10. Let w(o) be the second derivative of 0*o**2 - 1/50*o**5 + 2/75*o**6 + 0 - 2*o - 1/105*o**7 + 0*o**3 + k*o**4. Factor w(y).
-2*y**3*(y - 1)**2/5
Suppose 2*b + 1 = -2*b - 5*a, 5*b = 5*a + 10. Let x be (b + 0 + -1)/2. Factor 1/3*u**2 + 0*u + x.
u**2/3
Let o = 281/104 - 27/13. Let v(t) be the first derivative of 1/4*t + 5/6*t**3 + 1/24*t**6 - 2 + 1/4*t**5 + 5/8*t**4 + o*t**2. Solve v(d) = 0 for d.
-1
Let d be (18/(-318))/((-6)/8). Let x = d + 94/159. Suppose -2/3 + x*b**3 - 2*b**2 + 2*b = 0. Calculate b.
1
Let z(x) be the first derivative of 3 - x**2 - x - 1/3*x**3. Determine l so that z(l) = 0.
-1
Let 6/5*g**2 - 8/5*g + 2/5*g**3 + 0 = 0. Calculate g.
-4, 0, 1
Let u(x) be the first derivative of -x**7/2940 - x**6/315 - x**5/84 - x**4/42 - x**3/3 - 2. Let c(s) be the third derivative of u(s). Factor c(m).
-2*(m + 1)**2*(m + 2)/7
Let x be (-10)/(-6)*24/20. Solve 0 + 3*t - 3*t**x + 3/4*t**3 = 0.
0, 2
Let b(v) = -2*v - 1. Let x be b(-2). Determine h, given that -29*h**x + 4*h**2 + h - 2*h**2 + 30*h**3 = 0.
-1, 0
Let w(r) be the third derivative of -r**5/15 + 3*r**4/2 - 28*r**3/3 - 4*r**2. Find v such that w(v) = 0.
2, 7
Suppose -22 - 20 = -3*q. Factor -6*d**3 - 4*d - 14 + q*d**2 + 14.
-2*d*(d - 2)*(3*d - 1)
Let f = -24 - -122/5. Suppose 0*z + 2*j + 2 = 2*z, -2*j = -z - 2. Determine l so that 0*l - f*l**z + 0*l**2 + 0 + 2/5*l**3 = 0.
0, 1
Factor 4/3*i + 46/3*i**4 + 0 + 26/3*i**2 + 14/3*i**5 + 18*i**3.
2*i*(i + 1)**3*(7*i + 2)/3
Let i(g) be the third derivative of 0 + 3*g**2 - 1/2*g**3 + 1/4*g**4 - 1/20*g**5 + 0*g. Determine p, given that i(p) = 0.
1
Let p(z) be the first derivative of 1/14*z**4 + 0*z + 4/21*z**3 - 2/35*z**5 - 3 + 0*z**2. Let p(o) = 0. Calculate o.
-1, 0, 2
Let b(d) be the first derivative of -3 - 15/2*d**2 - 9/2*d - 3/2*d**3. Factor b(f).
-3*(f + 3)*(3*f + 1)/2
Let u = 3 - 3. Suppose u = o, 40 = 4*a - 0*a - 3*o. Factor -5*c**2 - 7 + c**2 + a*c + 3.
-2*(c - 2)*(2*c - 1)
Let d(o) = -8*o**5 - 23*o**4 - 12*o**3 - 2*o**2 + 5*o. Let f(w) = 8*w**5 + 24*w**4 + 12*w**3 + 2*w**2 - 6*w. Let b(p) = -6*d(p) - 5*f(p). Solve b(t) = 0 for t.
-1, -1/4, 0
Let v(g) = -g**3 + 2*g**2 + 2*g - 2. Let r = 3 + -1. Let i be v(r). Let -2*p**4 + 7*p**4 - 2*p**3 - 3*p**4 + 6*p**2 - 4*p**3 - i*p = 0. What is p?
0, 1
Solve -9/5*s**2 - 3/5*s**3 + 0*s + 12/5 = 0 for s.
-2, 1
Let u = -252 + 252. Factor u*z + 2/5*z**2 + 0 + 0*z**3 - 2/5*z**4.
-2*z**2*(z - 1)*(z + 1)/5
Let q be 1*3 - 0/(-7). Suppose 0*p + q*p = 0. Factor 2*o - 2*o**4 - 1 + p*o**3 + 3*o + o**3 + 6*o**3 - 9*o**2.
-(o - 1)**3*(2*o - 1)
Let u(o) be the second derivative of -5*o**9/3024 + 3*o**8/560 - o**7/280 - o**6/360 + o**3/3 - 3*o. Let v(k) be the second derivative of u(k). Factor v(m).
-m**2*(m - 1)**2*(5*m + 1)
Let g = -57 - -59. Factor -4/5*y + 4/5*y**3 + 0 + 6/5*y**g.
2*y*(y + 2)*(2*y - 1)/5
Suppose -2*a + 0*c = -4*c + 28, -c = -5*a - 61. Let z be (-32)/a*2/8. Factor 2/3 + 10/3*i**4 + 20/3*i**3 + 10/3*i + z*i**5 + 20/3*i**2.
2*(i + 1)**5/3
Let x = 188 + -937/5. Determine c, given that -1/5*c**2 - x*c - 2/5 = 0.
-2, -1
Let q = -901 - -901. Factor -2/3*p**2 + q + 1/3*p**3 + 1/3*p.
p*(p - 1)**2/3
Let l(w) be the first derivative of 1/20*w**5 + 5 + 0*w + 1/6*w**3 + 0*w**2 + 3/16*w**4. Solve l(y) = 0 for y.
-2, -1, 0
Let g(t) be the first derivative of 2*t**5/35 - 4*t**3/21 + 2*t/7 + 7. Factor g(i).
2*(i - 1)**2*(i + 1)**2/7
Let x = -575 + 577. Solve 0 - 2/17*h**x - 2/17*h**3 + 4/17*h = 0.
-2, 0, 1
Let t(o) = -o + 1. Let j(n) = -2*n - 11 + 12*n + 2*n**2 + 0*n - n**3. Let r(y) = 4*j(y) + 36*t(y). Factor r(d).
-4*(d - 2)*(d - 1)*(d + 1)
Let f(r) be the third derivative of r**5/420 - r**4/42 + r**3/14 + r**2 + 10. Solve f(h) = 0.
1, 3
Let n(z) be the third derivative of -z**6/30 + 2*z**5/15 + 9*z**2. Factor n(t).
-4*t**2*(t - 2)
Suppose -2*t + 2 + 4 = 0. Solve 4*v**3 - v**3 - 4*v**t + v = 0.
-1, 0, 1
Let s = 1577/2 - 787. Let 1/2*f + f**3 + s*f**2 + 0 = 0. What is f?
-1, -1/2, 0
Factor 0*v + 0*v**4 + 0*v**2 - 1/8*v**5 + 0 + 0*v**3.
-v**5/8
Let c(l) = 10*l**2 - 57*l - 18. Let m be c(6). Let m - 1/5*i**3 - 2/5*i**2 + 0*i = 0. What is i?
-2, 0
Let l be 49/(-20) - (-7)/28. Let g = l + 27/10. Solve 0*b + 1/2*b**2 - g = 0 for b.
-1, 1
Factor -12 + 8*n - 4/3*n**2.
-4*(n - 3)**2/3
Let n(i) = i**2 - i - 1. Let j(m) = -4*m**2 + 5*m + 5. Let h(l) = -4*j(l) - 20*n(l). What is t in h(t) = 0?
0
Let a(g) = -g**2 - g. Suppose 0*i = i - 2. Let q(w) = 6*w**2 - w**2 - w**2 + w - i*w**2. Let u(n) = -6*a(n) - 4*q(n). Suppose u(m) = 0. Calculate m.
0, 1
Let y(n) be the third derivative of n**8/3360 - n**7/630 - n**6/360 + n**5/30 + n**4/24 - 4*n**2. Let h(r) be the second derivative of y(r). Factor h(p).
2*(p - 2)*(p - 1)*(p + 1)
Let h(y) = -y + 1. Let n(d) = -d**2 - 3*d + 8. Let i(q) = 5*h(q) - n(q). Let j(s) = 4*s**2 + s**2 - 2*s**2 - 8 - 6*s. Let w(k) = 11*i(k) - 4*j(k). Factor w(x).
-(x - 1)**2
Let q be 1/2 + (-15)/(-10). Suppose -4*a + 0*a = -f - 13, -q*f - 5 = -a. What is h in 0 + 0*h - 1/3*h**a - 2/3*h**2 = 0?
-2, 0
Let c(p) = p**3 - 6*p**2 + 7*p - 5. Let u be c(5). Suppose 0 = -3*b - 2*t + 5*t - 12, -5*b + 2*t - u = 0. Determine r so that r**2 + b - 1 - r = 0.
0, 1
Let i(c) be the first derivative of 5*c**6/6 + 5*c**5 + 25*c**4/2 + 50*c**3/3 + 25*c**2/2 + 5*c + 17. What is q in i(q) = 0?
-1
Let p(o) = o**3 + o - 1. Let a(i) = 21*i**2 + 18*i + 15. Let n = 11 - 12. Let s(l) = n*a(l) - 6*p(l). Let s(u) = 0. What is u?
-3/2, -1
Suppose -5*b - 58 = -538. Let o = 674/7 - b. Let -o*k + 0 + 2/7*k**4 + 2/7*k**3 - 2/7*k**2 = 0. What is k?
-1, 0, 1
Let y = 164/27 - 20/27. Determine g, given that -4/3*g**2 + y + 0*g = 0.
-2, 2
Let i(l) be the second derivative of -l**4/18 + 13*l**3/27 - 4*l**2/9 + 35*l. Find g, given that i(g) = 0.
1/3, 4
Factor -12 + 24*z - 5*z**3 - 9*z**2 - 5*z**3 - 13*z**3 + 17*z**3 + 3*z**4.
3*(z - 2)*(z - 1)**2*(z + 2)
Let n(x) be the first derivative of -2*x**3/9 - 8*x**2/3 - 32*x/3 + 3. Factor n(a).
-2*(a + 4)**2/3
Let f = -125/2 - -64. Suppose 3*k = 4*k - 3. Solve -1 - 3/2*u**k + f*u + u**2 = 0.
-1, 2/3, 1
Suppose 3*c = c + 2. Let p(t) be the first derivative of -1/9*t**6 - 2/15*t**5 + 1/2*t**4 + 0*t - 2/3*t**2 + 2/9*t**3 - c. Solve p(w) = 0 for w.
-2, -1, 0, 1
Let s(o) be the second derivative of o**6/10 - 3*o**5/20 - 3*o**4/4 + o**3/2 + 3*o**2 - 3*o. Solve s(c) = 0 for c.
-1, 1, 2
Let s be 6/(-5) + 2 - (-26)/(-65). Factor -6/5*p**4 + 0*p - 6/5*p**3 + 0 - 2/5*p**5 - s*p**2.
-2*p**2*(p + 1)**3/5
Let b(s) be the second derivative of -s**4/42 + 2*s**3/21 + 50*s. Factor b(w).
-2*w*(w - 2)/7
Let l(f) be the third derivative of f**5/90 + f**4/108 - 28*f**2. Determine k, given that l(k) = 0.
-1/3, 0
Let u = 10 + -6. Suppose k - 5*y = -10, -4*k = u*y - 1 - 7. Factor 0*v**2 + k*v - 2/5*v**3 + 0.
-2*v**3/5
Suppose c - 3*c - 6*c = 0. Let b(v) be the second derivative of -3/20*v**5 - 1/8*v**4 + 2*v + 1/2*v**3 + c*v**2 + 1/20*v**6 + 0. Solve b(q) = 0.
-1, 0, 1, 2
Let c(o) be the first derivative of -o**6/2160 - o**5/360 - 2*o**3/3 - 3. Let y(p) be the third derivative of c(p). Factor y(f).
-f*(f + 2)/6
Let b(j) be the third derivative of 7*j**2 - 1/60*j**6 + 0 - 1/105*j**7 + 1/12*j**4 + 0*j + 1/30*j**5 + 0*j**3. Factor b(i).
-2*i*(i - 1)*(i + 1)**2
Let m(t) be the first derivative of -7*t**3/3 + 9*t**2/2 - 8*t - 5. Let u(y) = -20*y**2 + 26*y - 23. Let k(z) = -17*m(z) + 6*u(z). Find n, given that k(n) = 0.
1, 2
Let o(y) be the first derivative of y**4/2 + 2*y**3 + 3*y**2 + 2*y - 5. Determine w so that o(w) = 0.
-1
Determine a, given that -4/5*a**3 + 4*a**2 + 0*a + 0 = 0.
0, 5
Let t(n) be the first derivative of -1/4*n**4 - 3 + 