*u - 9 = -3*k, -u + 6*u + 9 = k. Let q be (-3 - (0 + u))*-1. Find f, given that 4/3 + 6*f**q + 22/3*f = 0.
-1, -2/9
Let b(v) be the third derivative of v**7/315 + v**6/180 + 6*v**2. Factor b(s).
2*s**3*(s + 1)/3
Suppose -5*c - 5*g + 4*g - 28 = 0, c - 1 = 2*g. Let b be ((-1)/(-2))/(c/(-5)). Find f, given that -3/2*f + b*f**2 + 1 = 0.
1, 2
Let y(r) = 2*r**2 - 10*r + 3. Let j(g) = g**2 - 1. Let p(o) = 3*j(o) + y(o). Solve p(s) = 0 for s.
0, 2
Suppose 3*b - b = -2*b. Find t such that -2/7*t**2 + b + 2/7*t = 0.
0, 1
Let f(q) = q + 3. Let n = 8 + -13. Let u be f(n). Let s(a) = -a**2 + 4*a - 1. Let k(d) = 3*d**2 - 9*d + 3. Let l(w) = u*k(w) - 5*s(w). Factor l(p).
-(p + 1)**2
Let v(z) be the third derivative of 0*z**3 + 0*z**4 + 0*z + 0 + z**2 - 1/20*z**5 - 1/40*z**6. Suppose v(k) = 0. Calculate k.
-1, 0
Let v(d) be the first derivative of 3*d**4/2 + 16*d**3/3 + 7*d**2 + 4*d + 7. Factor v(k).
2*(k + 1)**2*(3*k + 2)
Solve 0*c**3 + 1/2*c**2 + 1/3*c + 0 - 1/6*c**4 = 0.
-1, 0, 2
Suppose 3 = -z - 0. Let g = 3 + z. Factor g - 1/2*v + 2*v**2.
v*(4*v - 1)/2
Let w = 437/4 - 109. Suppose 0 = -3*j - 4 + 10. Determine z, given that 1/2*z**j + 1/4*z - 1/4 - 1/4*z**4 - 1/2*z**3 + w*z**5 = 0.
-1, 1
Let a = 0 - -5. Factor a - 1 + 8*m**2 - 2*m**2 + 10*m.
2*(m + 1)*(3*m + 2)
Let g = -18 - 3. Let k be (7/g)/((-1)/2). Suppose 0 - 2/3*d - k*d**2 = 0. What is d?
-1, 0
Determine v, given that 0 + 24/5*v + 4/5*v**2 = 0.
-6, 0
Let u(y) be the third derivative of -y**6/600 + y**5/150 - y**4/120 + 2*y**2. Factor u(w).
-w*(w - 1)**2/5
Let z be (1/(-27))/(38/(-228)). Factor 2/9 + 2/9*p - 2/9*p**3 - z*p**2.
-2*(p - 1)*(p + 1)**2/9
Let k(c) be the second derivative of -4*c**6/195 - 17*c**5/130 - 10*c**4/39 - 4*c**3/39 + 12*c. Determine n so that k(n) = 0.
-2, -1/4, 0
Suppose 5*s - m - 12 = s, 5*s = -5*m + 15. Factor 9/2*o**2 - 2 - 11/4*o**s - o + 1/2*o**4.
(o - 2)**3*(2*o + 1)/4
Suppose 0*w + 4*d + 37 = 3*w, 2*d = 3*w - 41. Factor 6*u - 4 - 7*u**4 + 4 - 8*u**4 + w*u**2 - 6*u**3.
-3*u*(u - 1)*(u + 1)*(5*u + 2)
Let l = -5/12 - -3/4. Factor -l*o + 1/3*o**2 + 0.
o*(o - 1)/3
Let c(s) be the first derivative of -2*s**5/45 - s**4/18 + 2*s**3/27 + s**2/9 + 15. Factor c(t).
-2*t*(t - 1)*(t + 1)**2/9
Let q(o) be the second derivative of 3*o**5/40 - 3*o**3/4 + 3*o**2/2 + 2*o. Factor q(j).
3*(j - 1)**2*(j + 2)/2
Let c(g) be the third derivative of g**8/1512 - 2*g**7/945 + g**5/135 - g**4/108 + 7*g**2. What is t in c(t) = 0?
-1, 0, 1
Suppose -y + 15 = 2*a, 5*a - 5*y = -y + 5. Find h such that 7/3*h**a - 13/3*h**2 + 0 + 2/3*h - 23/3*h**4 + 9*h**3 = 0.
0, 2/7, 1
Suppose 3*b + 3*m - 6*m - 21 = 0, 2*b = -m + 11. Let d(n) be the first derivative of 0*n**2 + 1/4*n**4 - 1/6*n**b + 0*n + 1/5*n**5 - 1/3*n**3 + 1. Factor d(w).
-w**2*(w - 1)**2*(w + 1)
Factor -1/4 + 1/4*b**2 + 0*b.
(b - 1)*(b + 1)/4
What is o in 7/4*o**2 + 28*o**5 + 1/2*o - 22*o**4 + 0 - 33/4*o**3 = 0?
-1/4, 0, 2/7, 1
Let i(d) = 2*d**2 + 15. Let p be i(0). Suppose 4*r = r + 102. Determine j, given that j + 36*j**2 + 2*j - 109*j**3 - 7*j - r*j**5 + 126*j**4 - p*j**5 = 0.
0, 2/7, 1
Determine u so that -39/5*u + 12/5 + 9/5*u**2 = 0.
1/3, 4
Let w be ((-9)/(-2))/((-9)/(-12)). Let m(d) be the second derivative of d**2 + d**4 + 0 - d + 1/15*d**w - 4/3*d**3 - 2/5*d**5. Suppose m(o) = 0. What is o?
1
Let t be ((-10)/8)/((-9)/36). Let m(v) = -11*v**3 + 6*v**2. Let n(i) = -16*i**3 + 9*i**2. Let y(l) = t*n(l) - 7*m(l). Find s such that y(s) = 0.
0, 1
Suppose -7*v = -2*v - 10. Suppose -5*i + 16 = -3*n, -4*i + 28 = 8. Factor 2*c**3 + c**2 + c**v + c - 3*c**2 + c**4 - 3*c**n.
c*(c - 1)**2*(c + 1)
Let i = 10 - 8. Let h be 3 - ((-34)/(-10) - i). Let h - 14*v**3 - 56/5*v + 118/5*v**2 = 0. Calculate v.
2/7, 2/5, 1
What is h in -4/7*h**3 + 8/7*h + 0 - 4/7*h**2 = 0?
-2, 0, 1
Let u(h) be the third derivative of -h**8/560 - h**7/350 + h**6/200 + h**5/100 + 12*h**2. Factor u(b).
-3*b**2*(b - 1)*(b + 1)**2/5
Let g(t) be the second derivative of 4/3*t**3 - t**2 + 3*t - 7/24*t**4 + 0. Factor g(j).
-(j - 2)*(7*j - 2)/2
Let u(w) = w**2 - w + 1. Let h(i) = -i**3 - 6*i**2 - 4. Let k(d) = 2*h(d) + 6*u(d). Factor k(s).
-2*(s + 1)**3
Let p(j) be the third derivative of -j**8/20160 - j**7/5040 + j**6/360 + j**5/60 - j**2. Let z(u) be the third derivative of p(u). Factor z(n).
-(n - 1)*(n + 2)
Suppose 3*k = 8*k - 10. Suppose 2*o = 3*o - k. What is d in -3*d**2 - 2*d**o + 3*d**2 - 4*d**2 + 3 - 3*d = 0?
-1, 1/2
Find d, given that -d**5 + 25*d**3 - 10*d**3 + 2*d**2 - 12*d**3 = 0.
-1, 0, 2
Let u be (12/8*2 - -1) + -2. Solve 2/7*f**3 - 2/7*f - 2/7 + 2/7*f**u = 0.
-1, 1
Let p(m) be the first derivative of -2*m**5/5 + 3*m**4/2 - 2*m**3 + m**2 - 34. Solve p(x) = 0.
0, 1
Let r(s) = s**3 - s**2 - s - 1. Let f(i) = -19*i**3 + 31*i**2 + 11*i + 3. Let o(a) = f(a) + 3*r(a). Factor o(b).
-4*b*(b - 2)*(4*b + 1)
Let o(v) be the third derivative of v**7/1260 - v**6/540 - v**5/180 + v**4/36 - v**3/6 + 3*v**2. Let j(s) be the first derivative of o(s). Factor j(q).
2*(q - 1)**2*(q + 1)/3
Factor -20*a**3 - 32*a**2 - 25*a - 3 - 11 + 4 + 87*a**2.
-5*(a - 2)*(a - 1)*(4*a + 1)
Let u be 2/2*(-2155)/(-15). Let n = 145 - u. What is l in -n - 1/3*l**2 + 4/3*l = 0?
2
Let a(k) be the second derivative of -k**4/21 - 2*k**3/21 - 4*k. Factor a(q).
-4*q*(q + 1)/7
Let u(k) be the second derivative of -k**5/120 - k**4/48 - 3*k**2/2 + k. Let f(g) be the first derivative of u(g). Factor f(b).
-b*(b + 1)/2
Let t(m) = -11*m**2 - 10*m - 5. Suppose -5*i - 4*s = 26, -4*i - 15 = -3*s + 12. Let z(o) = o**2 + o + 1. Let b(h) = i*z(h) - t(h). Solve b(p) = 0 for p.
-1, 1/5
Suppose 0*i**2 + i**4 + 0*i**3 + 0 - 1/2*i**5 + 0*i = 0. What is i?
0, 2
Let a(o) be the first derivative of -o**8/1680 - o**7/420 + o**5/60 + o**4/24 + 4*o**3/3 - 9. Let p(w) be the third derivative of a(w). Let p(q) = 0. What is q?
-1, 1
Let l = 0 + 1. Suppose l = -2*v + 9. Factor 30*m**3 + m - 16*m**v - 6*m**3 + 3*m**2 - 12*m**2.
-m*(m - 1)*(4*m - 1)**2
Let x be (-21)/(-14)*(-8)/3. Let g be (-6)/(-4) + (x - -4). Factor 3/2*s**4 - g*s**2 + 0 - s + s**3.
s*(s - 1)*(s + 1)*(3*s + 2)/2
Factor 4/3*w**3 + 16/9*w + 0 - 8/3*w**2 - 2/9*w**4.
-2*w*(w - 2)**3/9
Let g(o) = -o**5 + o**4 + 3*o**3 - o**2 + 6*o. Let u(c) = c**5 - 2*c**4 - 4*c**3 + 2*c**2 - 7*c. Let s(p) = 5*g(p) + 4*u(p). Solve s(y) = 0 for y.
-2, -1, 0, 1
Find g such that -2/7*g**2 - 2/7 - 4/7*g = 0.
-1
Factor 0 + 3/2*p**5 - 1/2*p**3 + 0*p + p**2 - 2*p**4.
p**2*(p - 1)**2*(3*p + 2)/2
Let p(r) be the first derivative of -3*r**2 - 2 - 4*r - 2/3*r**3. Factor p(d).
-2*(d + 1)*(d + 2)
Let u be (-14)/14 + 2*(-7)/(-10). Factor -4/5 - 6/5*b - u*b**2.
-2*(b + 1)*(b + 2)/5
Factor -4/13*p**3 - 2/13*p**5 - 4/13*p**2 + 6/13*p**4 - 2/13 + 6/13*p.
-2*(p - 1)**4*(p + 1)/13
Let w(t) be the first derivative of 3/2*t**2 - 5 - 3/4*t**4 + 0*t**3 + 0*t. Let w(j) = 0. What is j?
-1, 0, 1
Let o(m) be the third derivative of m**7/10080 - m**6/720 + m**5/120 + m**4/4 + 8*m**2. Let c(x) be the second derivative of o(x). Factor c(t).
(t - 2)**2/4
Let x be 1*3 + (-140)/50 - 0. Suppose 4/5*j**5 - 3/5*j**4 + x*j + 0 - j**3 + 3/5*j**2 = 0. Calculate j.
-1, -1/4, 0, 1
Let n(o) be the first derivative of -2 - 2/21*o**3 + 0*o + 0*o**2. Factor n(t).
-2*t**2/7
Let p(j) = j**2 + 3*j - 2. Let x be p(-4). Factor 0*u - u**3 - u + 2*u**x + 0*u.
-u*(u - 1)**2
Suppose 2*n - 5 = l, l + 17 = 5*n + 3*l. Let v be 2/n - (-8)/(-21). Suppose v*z + 2/7*z**3 + 0 + 4/7*z**2 = 0. What is z?
-1, 0
Let v be ((-16)/(-12))/((-2)/(-18)). Factor h**2 + v*h + 3*h**2 - 2*h**2 + 4 + 7*h**2.
(3*h + 2)**2
Factor 48*m + 5*m**2 - 44*m - m**2.
4*m*(m + 1)
Let s(w) be the first derivative of w**4/20 - 4*w**3/15 + w**2/2 - 2*w/5 + 3. Determine a, given that s(a) = 0.
1, 2
Let u = 4 - 0. Factor -2*r**3 - r**u + r**2 - 2*r + 3*r + r.
-r*(r - 1)*(r + 1)*(r + 2)
Let i(b) be the first derivative of -b**4/20 - b**3/15 + b**2/5 + 57. Find o, given that i(o) = 0.
-2, 0, 1
Let v(j) = -6*j**4 - 34*j**3 + 20*j**2 + 6*j - 14. Let q(t) = -t**4 - 7*t**3 + 4*t**2 + t - 3. Let g(y) = -14*q(y) + 3*v(y). Determine a so that g(a) = 0.
-1, 0, 1
Let x(r) = -r**2 - r - 1. Suppose 5*v + 0*v - 25 = 0. Let p(w) = 9*w**2 - 3*w + 9. Let j(s) = v*x(s) + p(s). Find t such that j(t) = 0.
1
Let y be (-2)/10*(-30)/4. Find r such that 0*r - y*r**2 + 0 = 0.
0
Solve 133*s**4 + 33*s + 110*s - 128 - 