q - 4/7*q**h.
-2*q*(q + 1)**2/7
Let n be (-1)/2 - 10/(-4). Suppose -4*l = c - n*c - 3, 5*l = -4*c + 30. Factor -3/5*k**4 + 1/5*k**5 + 1/5 - 3/5*k + 2/5*k**3 + 2/5*k**l.
(k - 1)**4*(k + 1)/5
Let j(y) be the third derivative of 1/280*y**8 - 1/70*y**7 + 1/50*y**6 + 0*y - 1/100*y**5 + 0 + 0*y**4 + 2*y**2 + 0*y**3. Factor j(c).
3*c**2*(c - 1)**2*(2*c - 1)/5
Solve 0*z - 1/5*z**3 - 3/5*z**2 + 4/5 = 0 for z.
-2, 1
Suppose -t - 1 = -4. Factor 0 + 3/4*h + 9/4*h**t - 3/4*h**4 - 9/4*h**2.
-3*h*(h - 1)**3/4
Suppose 3*u = -w - 23 + 1, 4*u + 16 = -4*w. Let t be 2/u - 174/(-54). What is j in 4/7*j**t - 2/7*j**4 + 0*j**2 + 2/7 - 4/7*j = 0?
-1, 1
Let o(t) be the third derivative of 0 + 0*t - 1/36*t**4 - 4*t**2 - 7/180*t**5 + 0*t**3. Factor o(m).
-m*(7*m + 2)/3
Let h(x) be the second derivative of x**6/60 + x**5/100 - x**4/24 - x**3/30 - 7*x. Factor h(q).
q*(q - 1)*(q + 1)*(5*q + 2)/10
Suppose -5*m + g = -8, -m - 2*m = -2*g - 2. Factor 3*y**2 + y**m - y**3 + 2*y**3 - 3*y**2 - 2*y.
y*(y - 1)*(y + 2)
Let b(w) = w**3 - w**2 + w. Let u = -17 - -17. Let i be b(u). Let 0 + 2/3*l**3 - 2/3*l**5 + 0*l**2 + 0*l + i*l**4 = 0. What is l?
-1, 0, 1
Let p be (1 + -2)*(-1)/(-1). Let i be -1*((-2)/(-2) + p). Determine b, given that -6/5*b**3 + i + 2/5*b - 4/5*b**4 + 0*b**2 = 0.
-1, 0, 1/2
Let k be (7 + (-2)/1)/1. Suppose k*j = 9*j - 8. Solve 0 - 2/3*u**j + 0*u = 0.
0
Solve 1/3*g**2 + 0 + g = 0 for g.
-3, 0
Let q be (-165)/(-154)*6*(-4)/(-30). Factor 0 + 2/7*v**4 + q*v**3 + 6/7*v**2 + 2/7*v.
2*v*(v + 1)**3/7
Let i = -18 - -21. Factor -4*w**4 + 8*w - 2*w**2 + 6*w**2 + 3*w**2 - i*w**2 + 4*w**5 - 12*w**3.
4*w*(w - 2)*(w - 1)*(w + 1)**2
Let t(x) = -x**3 + 6*x**2 - 5*x. Let o be t(3). Let p be o/(-6)*2/(-10). Factor -2/5*l**2 + 2/5 + 2/5*l**3 - p*l.
2*(l - 1)**2*(l + 1)/5
Let w(c) = -2*c + 17. Let n be w(7). Let r(g) be the first derivative of 0*g - 2/15*g**n + 1/10*g**4 + 1 - 2/5*g**2. Factor r(o).
2*o*(o - 2)*(o + 1)/5
Let i(h) be the third derivative of -h**7/3360 - h**6/1440 - 2*h**3/3 + 2*h**2. Let f(t) be the first derivative of i(t). Determine c, given that f(c) = 0.
-1, 0
Let s(x) = -x**2 - 7*x - 4. Let w be s(-6). Factor -5*a**3 + 3*a - 3*a**4 + a**2 + w*a**2 + 2*a**3.
-3*a*(a - 1)*(a + 1)**2
Let d = -603/8 - -753/8. Factor -12*c + 15/4*c**2 + d*c**3 + 3.
3*(c + 1)*(5*c - 2)**2/4
Let x be (-12)/(-55) + 26/143. Let r = 13/5 + -11/5. Factor 4/5 + x*t - r*t**2.
-2*(t - 2)*(t + 1)/5
Let i(v) be the second derivative of v**2 + 0 + 2*v + 1/6*v**4 + 2/3*v**3. Solve i(g) = 0 for g.
-1
Let x(y) = -5*y**2 + y**3 + 3 + 0*y**3 + 2*y - 8*y. Let f be x(6). Determine m, given that -3*m**2 + f*m - m**2 + m**2 + 2 - 3*m**3 + m**2 = 0.
-1, -2/3, 1
Let k be 56/12 - 4/6. Suppose 4*b + 4*a - 4 = 0, 4*a + 23 = b + k*b. Factor -2/9*h**b - 4/9*h**2 - 2/9*h + 0.
-2*h*(h + 1)**2/9
Let y(j) be the first derivative of 0*j - 5 - 2/9*j**3 + 2/3*j**2 - 1/6*j**4. Factor y(k).
-2*k*(k - 1)*(k + 2)/3
Factor 0 - 16*q**4 - 28/5*q**2 - 4/5*q - 72/5*q**3 - 32/5*q**5.
-4*q*(q + 1)*(2*q + 1)**3/5
Suppose 2*g - 6*g = -60. Let t = g + -10. Factor -15*u**t - 17/3*u**3 + 16*u**4 + 2/3*u**2 + 0 + 0*u.
-u**2*(3*u - 1)**2*(5*u - 2)/3
Suppose 0 = 4*f + 2*l - 10, -2*f + 2 = -l - 9. Let a(z) be the second derivative of -1/4*z**f + 0 + z**3 - 3/2*z**2 - 2*z. Factor a(j).
-3*(j - 1)**2
Let v(c) be the third derivative of c**8/6720 - c**7/2520 - c**4/24 + 2*c**2. Let u(d) be the second derivative of v(d). Factor u(m).
m**2*(m - 1)
Let n(l) = l**2 - 21*l + 5. Let s(t) = -t**2 + 11*t - 3. Let f(v) = -3*n(v) - 5*s(v). Solve f(b) = 0 for b.
-4, 0
Let j = 0 - -3. What is a in 4 - 2*a**5 - 14*a + 8*a**j - 4*a**2 + 0 + 8*a = 0?
-2, -1, 1
Let b be (-4)/(40/25)*-2. Let v(m) be the first derivative of -2 + 3/20*m**b + 5/4*m**3 + 11/16*m**4 + 9/8*m**2 + 1/2*m. Factor v(c).
(c + 1)**3*(3*c + 2)/4
Suppose -5*b - h + 7 = 0, 4*b + 0*b = 5*h + 23. What is c in -c - 4*c**b + c**2 + 2*c**2 + c**3 + 1 = 0?
-1, 1
Let d(z) = 7*z**2 + 6*z + 4. Let u(y) be the second derivative of -2*y**4/3 - y**3 - 5*y**2/2 + y. Let n(c) = -5*d(c) - 4*u(c). Factor n(a).
-3*a*(a + 2)
Let o(i) be the first derivative of 1/25*i**5 + 0*i**2 + 1 + 1/20*i**4 + 0*i**3 + 0*i. Solve o(k) = 0.
-1, 0
Let c(p) be the first derivative of -1 - p + 1/6*p**4 + 0*p**2 + 1/3*p**3. Let a(u) be the first derivative of c(u). Let a(t) = 0. Calculate t.
-1, 0
Let d(o) be the third derivative of 1/36*o**4 + 0*o**3 + 0*o + 0 - 1/180*o**6 - 4*o**2 + 0*o**5. Suppose d(s) = 0. Calculate s.
-1, 0, 1
Let o(z) be the second derivative of 0 - 1/60*z**5 + 1/120*z**6 + 0*z**4 + 0*z**3 - z**2 + z. Let s(u) be the first derivative of o(u). Factor s(p).
p**2*(p - 1)
Suppose -5*b**4 + 54*b**2 + 56*b**2 - 95*b**2 + 10*b**3 = 0. What is b?
-1, 0, 3
Determine o so that o**3 - 2*o**3 - 3*o**2 - 15*o**4 - 2*o**3 + 18*o**4 + 3*o**5 = 0.
-1, 0, 1
Factor -5*u + 4*u - 2*u**2 + 0*u**2 - 3*u.
-2*u*(u + 2)
Let i(k) be the first derivative of -k + 0*k**2 + 0*k**5 - 1 + 0*k**3 + 0*k**4 - 1/120*k**6. Let p(t) be the first derivative of i(t). Factor p(o).
-o**4/4
Let o = -32 - -34. Suppose s = 8 - 6. Factor -s*q - 2/3*q**o - 4/3.
-2*(q + 1)*(q + 2)/3
Let j(b) = -b**2 + 8*b + 2. Let m be j(8). Suppose 3*z - m - 10 = 0. Suppose 2*w**2 + 5*w - z*w - w**2 = 0. Calculate w.
-1, 0
Factor 0*h + 2/5*h**3 - 2/5*h**2 + 0.
2*h**2*(h - 1)/5
Let v be (-3 + 6)/(-3) - -3. Let x be (v/(-5))/(36/(-20)). Let 0*y - 2/9*y**5 + 0 - 2/9*y**2 + 2/9*y**4 + x*y**3 = 0. Calculate y.
-1, 0, 1
Suppose 0 = -s - 6*s. Factor -1/6*f - 1/3*f**2 - 1/6*f**3 + s.
-f*(f + 1)**2/6
Suppose 2*h - 4 = 3*q, -15*q + 10*q + 6 = 3*h. Factor -6/7 - 2/7*m**h + 8/7*m.
-2*(m - 3)*(m - 1)/7
Let 8 - 64*n**5 + 313*n**4 + 0*n + 29*n - 46*n**2 + 11*n - 57*n**4 - 244*n**3 = 0. Calculate n.
-1/4, 1/2, 2
Let q be 13/(-42) + 0 + 1/2. Let n(b) be the third derivative of 0*b**4 + 0 - 3*b**2 + 0*b + 1/420*b**6 + q*b**3 - 1/70*b**5. Factor n(h).
2*(h - 2)**2*(h + 1)/7
Suppose -a - 9 = -0*a. Let b be (-8)/(-6)*a/(-6). Let 0*t**4 + b*t**2 - t**4 - t**2 = 0. Calculate t.
-1, 0, 1
Let b = -22/9 - -128/45. Solve 2/5*h**2 - 2/5*h + b*h**3 - 2/5 = 0.
-1, 1
Factor -4 + 2/3*c**2 + 2/3*c.
2*(c - 2)*(c + 3)/3
Let g(d) = d**2 + 5*d - 5. Let k be g(-8). Let b = k - 19. Find i such that -1/4*i**2 + b*i - 1/4*i**4 - 1/2*i**3 + 0 = 0.
-1, 0
Let m(l) = -14*l**2 + 29*l + 8. Let r(w) = w. Let g(c) = -2*m(c) + 10*r(c). Find h such that g(h) = 0.
-2/7, 2
Let n(b) be the third derivative of -16/33*b**3 + 0*b - 10*b**2 + 0 - 1/330*b**5 - 2/33*b**4. Solve n(f) = 0.
-4
Let g(u) = u**2 - 5*u + 6. Let l be g(4). Suppose -2*q = q - 9. Solve -2*r**l + r**2 + 8 - q*r - 5*r + 3*r**2 = 0.
2
Suppose 0 = -v + 2 + 1. Let i(x) = -x**3 - 2*x**2 + 2*x. Let z be i(-3). Let a**2 - 6*a**2 + v*a**2 + 4*a**2 + 2*a**z = 0. What is a?
-1, 0
Let g be (-97)/6*6/(-9). Let c = g + -76/9. Let 0 - c*r**4 + 2/3*r**2 - 5/3*r**3 + 0*r = 0. Calculate r.
-1, 0, 2/7
Let x(o) = o**3 + 6*o**2 + 8*o + 12. Let p be x(-5). Let m = p + 5. What is w in -2*w**3 - 2/3*w**4 + 0 - 2/3*w - 2*w**m = 0?
-1, 0
Factor 0*t - 1/3*t**4 + 0 + 0*t**3 + 1/3*t**2.
-t**2*(t - 1)*(t + 1)/3
Let r(o) be the first derivative of -o**6/4 - 2*o**5/5 + o**4/8 + o**3/3 - 69. Factor r(h).
-h**2*(h + 1)**2*(3*h - 2)/2
Let d(z) be the third derivative of -z**6/390 + z**5/390 + z**4/78 - z**3/39 + 9*z**2. Determine g, given that d(g) = 0.
-1, 1/2, 1
Let n be ((-20)/(-25))/(6/15). Suppose 17 = 5*g + 2. Suppose -f**g - f**2 + n*f**3 - 1 + 0*f - 2*f**2 + 3*f = 0. What is f?
1
Determine c so that -4*c**4 + 0*c - 2*c + 5*c + 3*c**2 - 3*c**3 + c**4 = 0.
-1, 0, 1
Find w, given that 0*w + 1/2*w**2 + 0 = 0.
0
Suppose -z + 8 = 2*u, -7*u = 5*z - 10*u - 14. Factor 0*x + 1/2*x**3 - 1/2*x**2 - 1/2*x**5 + 1/2*x**z + 0.
-x**2*(x - 1)**2*(x + 1)/2
Let z(f) be the first derivative of -7/24*f**4 - f**2 + 1/12*f**5 - 2 + 0*f + 1/3*f**3. Let l(b) be the second derivative of z(b). Factor l(n).
(n - 1)*(5*n - 2)
Let x be (-1)/(-4) - (-105)/12. Find j, given that -j**2 + 0*j + 2*j**2 + x - 6*j = 0.
3
Suppose -4/5*n + 0 + 4/5*n**3 - 2/5*n**2 + 2/5*n**4 = 0. What is n?
-2, -1, 0, 1
Let n(l) be the first derivative of -l + 1 + 1/3*l**3 + 0*l**2. Factor n(c).
(c - 1)*(c + 1)
Suppose -4*z = 2 - 6. Let k(p) = p**3 - p**2 - p. Let u(j) = -5*j**3 + 5*j**2 + 5*j + 1. Let x(i) = z*u(i) + 6*k(i). Let 