 2/11*t**a + n - 4/11*t = 0. What is t?
0, 2
Let c(f) be the first derivative of f**7/14 + f**6/10 - 3*f**5/10 - f**4/2 + f**3/2 + 3*f**2/2 + 4*f + 7. Let n(y) be the first derivative of c(y). Factor n(d).
3*(d - 1)**2*(d + 1)**3
Let d be (4/(0 - 1))/(-2). Factor -3*y + 4*y**2 - 3*y**d + 2*y**2.
3*y*(y - 1)
Let r(y) = y**5 + y**4 + y**3. Let j = -15 + 27. Let f(a) = 9*a**5 + 21*a**4 + 3*a**3 + 3*a**2. Let z(k) = j*r(k) - f(k). Factor z(p).
3*p**2*(p - 1)**3
Let f = 1 - -1. Let x be (-12)/3*f/(-4). Factor -4*s - s**2 + 2*s + 5*s**2 - 2*s**x.
2*s*(s - 1)
Factor 12*v + 5*v**2 - 2*v**2 + 3 + 7 + 2.
3*(v + 2)**2
Let o = -419 - -3779/9. Determine j so that 16/9*j**3 + 2/3*j**4 - 16/9*j - o + 2/9*j**2 = 0.
-2, -1, -2/3, 1
Let j(z) be the third derivative of -1/12*z**4 + 0 + 1/2*z**3 + 0*z + 1/120*z**6 - 1/120*z**5 - 3*z**2. Let l(q) be the first derivative of j(q). Factor l(f).
(f - 1)*(3*f + 2)
Let j(o) be the first derivative of 2 + 0*o**4 - 1/70*o**5 + o + 0*o**3 + 0*o**2. Let y(c) be the first derivative of j(c). Suppose y(i) = 0. Calculate i.
0
Suppose -4 = -b - 1. Factor -6*g**2 - 3*g**3 - g - 2*g + b*g.
-3*g**2*(g + 2)
Let b = -3 + 6. Let r be 2/1 + b*1. Factor 9*a**3 + 7*a**r + 9*a**4 - 3*a**3 - 4*a**5.
3*a**3*(a + 1)*(a + 2)
Factor 2/7*q**2 + 0 + 2/7*q.
2*q*(q + 1)/7
Let q(x) = -5*x**4 + 7*x**3 - 12*x**2 - 3*x + 3. Let t(f) = -6*f**4 + 6*f**3 - 12*f**2 - 4*f + 4. Let j(y) = 4*q(y) - 3*t(y). What is o in j(o) = 0?
0, 2, 3
Suppose -18*p + 2*p = 0. Factor -2/5*z**4 + 0*z**3 + p*z + 0 + 2/5*z**2.
-2*z**2*(z - 1)*(z + 1)/5
Let j(s) be the first derivative of 0*s**3 - 4/7*s - 3/7*s**2 + 4 + 1/14*s**4. Solve j(f) = 0 for f.
-1, 2
Let a(w) = w**5 - w**4 - w**3 - w**2 - w + 1. Let z(l) = -5*l**5 + 7*l**4 + 4*l**3 + 4*l**2 + 7*l - 5. Let b(y) = 6*a(y) + z(y). Factor b(v).
(v - 1)**2*(v + 1)**3
Let b be ((-36)/(-16))/3*8. Let g(u) be the second derivative of 8/15*u**b + 7/10*u**5 + 0 - 2*u + 0*u**2 + 1/7*u**7 + 1/3*u**4 + 0*u**3. Factor g(h).
2*h**2*(h + 1)**2*(3*h + 2)
Let r(l) be the second derivative of 0 + 3/20*l**5 + 1/10*l**6 - 1/4*l**4 - 5*l - 1/14*l**7 + 0*l**2 + 0*l**3. Factor r(p).
-3*p**2*(p - 1)**2*(p + 1)
Let l(g) be the second derivative of 0 - 1/30*g**4 - g + 0*g**2 - 2/15*g**3. Factor l(a).
-2*a*(a + 2)/5
Let w(v) = -v**3 + 2*v**2 + 9. Let z be w(3). Let l be 4/(-5)*(-5)/2. Let -1/2*g + 1/2*g**5 + 0*g**3 + z - g**l + g**4 = 0. What is g?
-1, 0, 1
Let q be (-18)/(-63) - (-32)/(-14). Let k be (-6 - -2)*1/q. Suppose 1/4 + 1/2*g + 1/4*g**k = 0. What is g?
-1
Suppose 11*d - 8*d - 12 = 0. Suppose -d*a = -20 + 4. Solve -5/3*u**3 + u**a - 1/3*u**2 - 2/3 + 5/3*u = 0 for u.
-1, 2/3, 1
Let f(w) be the third derivative of w**8/2016 + w**7/420 + w**6/720 - w**5/120 - w**4/72 + 13*w**2. Determine l so that f(l) = 0.
-2, -1, 0, 1
Let n = 6 + -2. Suppose 1 = v - n. Determine i so that -i**4 - 5*i**5 - i**4 + 3*i**v = 0.
-1, 0
Let w(g) be the second derivative of g - 1/42*g**4 + 0 + 1/2*g**2 + 1/21*g**3 + 1/210*g**5. Let a(r) be the first derivative of w(r). Factor a(b).
2*(b - 1)**2/7
Factor 28/3*o**2 + 0 + 8/3*o**3 + 8*o.
4*o*(o + 2)*(2*o + 3)/3
Let f be 0 - (2 + 1) - -2. Let a be 3 - ((-1)/f - 0). Let 1/2*j**3 + 1/4*j**a + 1/4*j**4 + 0 + 0*j = 0. What is j?
-1, 0
Let w(x) = x**3 - 13*x**2 + 14*x - 11. Let s be w(12). Find h such that 5*h + 3*h**2 - 10*h - 7*h - 1 + s = 0.
2
Let p(l) = -11*l**2 - l**5 + 13*l - 2*l - 13*l**4 - 8*l**5. Let b(c) = 5*c**5 + 7*c**4 + 6*c**2 - 6*c. Let r(m) = 11*b(m) + 6*p(m). Find v such that r(v) = 0.
0, 1
Let y(h) = h**3 + 5*h**2 - 5*h + 8. Let r be y(-6). Suppose k = r*k. What is s in -2/7*s**2 - 2/7*s + k = 0?
-1, 0
Suppose 3*t - 15 = -4*z, -3*t + 28 - 10 = 5*z. Let i = 1 + t. Let -3*j**2 - 3*j - 1 - i + 3 = 0. Calculate j.
-1, 0
Factor -8/7 - 4/7*i + 4/7*i**2.
4*(i - 2)*(i + 1)/7
Let s(c) be the first derivative of c**3/5 - 3*c**2/5 + 13. Factor s(d).
3*d*(d - 2)/5
Let r(k) = -10*k**2 + 8*k + 6. Let h(z) = -9*z**2 + 8*z + 5. Let j(m) = -6*h(m) + 5*r(m). Factor j(x).
4*x*(x - 2)
Let y = 7 - 4. Suppose -18 = -5*l - 2*h, h = 4*l - y*h + 8. What is b in l*b**3 - 3*b**3 + 0*b**3 = 0?
0
Suppose -3*b + 6*b = 0. Suppose 0 = 211*w - 208*w - 6. Factor 1/2*q**4 + b*q + 0 + 1/2*q**w - q**3.
q**2*(q - 1)**2/2
Suppose -6*q = -4*q. Let o(f) be the second derivative of 0 + 1/50*f**5 + q*f**2 + 3*f - 2/15*f**3 - 1/30*f**4. Factor o(z).
2*z*(z - 2)*(z + 1)/5
Let s = 20 + -17. Suppose -5*w + 5 = -5*q, 4*q + w - 16 = -0*w. Suppose 2*l**q + 5*l + s*l + 4 + 5*l**3 - 19*l**2 = 0. Calculate l.
-2/7, 1, 2
Let n be 4 + 0 + (-2)/1. Suppose -n = h - 2*v, 3*h = -6*v + v + 16. Factor k - 2*k**2 + 4*k**2 - 2*k**2 + k**h.
k*(k + 1)
Factor 0*u**2 + 2*u**4 + 2*u**3 + 1/2*u**5 + 0*u + 0.
u**3*(u + 2)**2/2
Let g(c) be the second derivative of -c - 3/10*c**5 + 0 - 3/10*c**6 + 11/12*c**4 + 2/3*c**3 - 2*c**2. Solve g(k) = 0.
-1, 2/3
Let j(f) be the second derivative of f**4/48 - f**3/12 + 23*f. Factor j(t).
t*(t - 2)/4
Let v = 44 - 394/9. Factor -8/9*o + 4/3*o**2 - 8/9*o**3 + 2/9*o**4 + v.
2*(o - 1)**4/9
Solve 6/5*c + 0*c**2 - 4/5 - 2/5*c**3 = 0.
-2, 1
Let z be -4 + 3 - (-117)/72. Solve z*v**3 - 3/8*v**2 - 1/8 + 1/2*v**4 - 5/8*v = 0.
-1, -1/4, 1
Solve 5 - 196*o**2 + 192*o**2 - 1 = 0 for o.
-1, 1
Let c(j) be the second derivative of j**9/6048 - j**8/3360 - j**7/1680 + j**6/720 - j**3/2 - j. Let h(m) be the second derivative of c(m). Factor h(l).
l**2*(l - 1)**2*(l + 1)/2
Let o(t) be the second derivative of -t**5/10 - 2*t**4/3 - 5*t**3/3 - 2*t**2 + 55*t. Factor o(g).
-2*(g + 1)**2*(g + 2)
Let r(u) be the first derivative of u**4 + 4*u**3/3 - 2*u**2 - 4*u + 19. Factor r(f).
4*(f - 1)*(f + 1)**2
Let p(l) be the third derivative of l**8/420 - 2*l**6/75 + 2*l**5/75 + l**4/10 - 4*l**3/15 - 20*l**2. Factor p(n).
4*(n - 1)**3*(n + 1)*(n + 2)/5
Let c(s) = -s**2 - 1 - 10 + 0 + 10*s - 1. Let w be c(8). Factor 5*u**2 - 2*u**4 - 1 + 0*u**w - u**2 + 2*u + 2*u**5 - 4*u**3 - 1.
2*(u - 1)**3*(u + 1)**2
Factor 6 - 7*r**2 - 4*r + 17*r**2 - 12*r**2.
-2*(r - 1)*(r + 3)
Let d(n) be the second derivative of 0 + 0*n**2 - n + 1/36*n**4 + 0*n**3. Factor d(w).
w**2/3
Let m(g) be the third derivative of -1/1575*g**7 + 0*g**5 + 0*g**6 + 0 + 0*g**3 + 0*g - 5*g**2 + 0*g**4 + 1/2520*g**8. Find j, given that m(j) = 0.
0, 1
Let s = -3 - -3. Determine f so that -4 + s*f**2 - 7*f**3 + 10*f - 3*f**3 + 4*f**2 = 0.
-1, 2/5, 1
Let p(n) be the first derivative of n**2 + 0*n - 5/3*n**3 + n**4 + 1 - 1/5*n**5. Solve p(a) = 0 for a.
0, 1, 2
Let q(g) be the third derivative of -7*g**6/900 + g**5/50 - g**4/90 + 13*g**2. Factor q(u).
-2*u*(u - 1)*(7*u - 2)/15
Let a(k) be the third derivative of k**8/112 - k**7/35 - k**6/40 + k**5/10 + 6*k**2. Let a(y) = 0. What is y?
-1, 0, 1, 2
Let o(m) be the second derivative of -5*m**7/21 - 7*m**6/6 - m**5/4 + 35*m**4/12 + 5*m**3/2 - 20*m. Find a, given that o(a) = 0.
-3, -1, -1/2, 0, 1
Suppose -p - 3*y = -9, y = 4*p + 5 - 2. Let m(o) be the second derivative of p*o**3 - 1/3*o**4 + o + 0*o**2 - 1/2*o**5 + 0. Factor m(t).
-2*t**2*(5*t + 2)
Let h(d) be the first derivative of 2*d**6/51 - 2*d**5/17 + 2*d**4/17 - 2*d**3/51 - 25. What is a in h(a) = 0?
0, 1/2, 1
Let q(a) be the second derivative of -169*a**4/66 - 52*a**3/11 - 36*a**2/11 + 41*a. Suppose q(b) = 0. Calculate b.
-6/13
Let l(h) be the second derivative of -5*h**4/12 + 16*h. Find b, given that l(b) = 0.
0
Let b(g) be the first derivative of g**6/840 - g**5/140 + g**4/56 - g**3 - 2. Let o(q) be the third derivative of b(q). Factor o(y).
3*(y - 1)**2/7
Let c(o) be the third derivative of o**6/8 - 7*o**5/20 + o**4/4 - 3*o**2. Factor c(q).
3*q*(q - 1)*(5*q - 2)
Let w be (5 - 6 - 10/(-6))*3. Let r(z) be the first derivative of -1/21*z**6 + 1/7*z**w + 1 + 4/35*z**5 + 0*z**4 - 4/21*z**3 + 0*z. Let r(y) = 0. What is y?
-1, 0, 1
Let w(q) = 2*q + 17. Let o be w(-10). Let r(f) = f**2 + 2*f - 1. Let g be r(o). Factor -1/5*v + 0 + 1/5*v**g.
v*(v - 1)/5
Let w(t) be the first derivative of -t**5/35 - 3*t**4/28 + t**3/21 + 3*t**2/14 + 7. What is x in w(x) = 0?
-3, -1, 0, 1
Let s(k) be the third derivative of 0*k**3 + 0*k - 1/60*k**6 + 7*k**2 + 0*k**4 + 0 + 1/30*k**5 + 1/420*k**7. Factor s(a).
a**2*(a - 2)**2/2
Let m = 8 + -8. Suppose h - 5*h = m. What is i in -2/7*i**3 + h*i - 8/7 + 6/7*i**2 = 0?
-1, 2
Let r = -98451 - -