 22*w**r - 21*w**4 - 4*w**2 - w**3 + 4*w**2.
w**3*(w - 1)
Let r(q) be the third derivative of -1/20*q**5 - 2*q**3 - 6*q**2 + 0*q - 5/8*q**4 + 0. Factor r(o).
-3*(o + 1)*(o + 4)
Let y be ((-2)/3)/(30/(-135)). Let w be 0/((-1 - -1) + 1). Factor w*f - 1/2*f**y + 1/4*f**2 + 1/4*f**4 + 0.
f**2*(f - 1)**2/4
Suppose v = 2*t + 8, 0 = -6*t + 5*t - 3. Factor -f + f + v*f**4 + 2*f - 67*f**2 - 2*f**3 + 65*f**2.
2*f*(f - 1)**2*(f + 1)
Let a be 4/8*(1 - 0/3). Factor 3/4 + a*j - 1/4*j**2.
-(j - 3)*(j + 1)/4
Let t(q) be the second derivative of q**5/80 + 7*q**4/24 + 5*q**3/2 + 9*q**2 - 6*q + 1. Solve t(i) = 0.
-6, -2
Suppose -9*v = -39*v. Factor -1/4*j + v - 1/4*j**2.
-j*(j + 1)/4
Determine h, given that 2/3*h**3 + 0 + 4/3*h - 2*h**2 = 0.
0, 1, 2
Let i(r) be the second derivative of r**5/20 + r**4/3 + r**3/2 - 9*r. Suppose i(s) = 0. What is s?
-3, -1, 0
Suppose 0 = -4*q - 2 - 26. Let b = q + 15. Suppose 4*s - 5*s**2 + 2*s - b*s - 4*s**3 - s**4 = 0. Calculate s.
-2, -1, 0
Let z = -10 + 19. Let y be (-6)/21 - (-16)/7. Let 5*i - z*i**2 + 0*i**3 - 12*i**3 - y*i = 0. What is i?
-1, 0, 1/4
Suppose 0 = 5*s + w - 35, -w = -4*s - 0*w + 28. Let -2*x**2 - 2*x**2 + 6*x**2 + s*x**3 = 0. Calculate x.
-2/7, 0
Let p(f) be the third derivative of 0 + f**2 + 0*f + 1/120*f**6 - 1/6*f**3 - 1/20*f**5 + 1/8*f**4. Suppose p(c) = 0. Calculate c.
1
Let c be (-48)/(-18) + -3 + (-16)/(-3). Suppose -1/4*q**c - 1/4 - 1/4*q + 1/2*q**2 - 1/4*q**4 + 1/2*q**3 = 0. What is q?
-1, 1
Suppose 0 = 2*r + 14 - 0. Let i(x) = -441*x**2 + 442*x**2 + x - 6 + 0*x. Let c(o) = o**2 + o - 7. Let n(q) = r*i(q) + 6*c(q). Factor n(v).
-v*(v + 1)
Let t(n) be the third derivative of -n**6/1080 - n**5/180 - n**4/72 - n**3 - 3*n**2. Let p(r) be the first derivative of t(r). Factor p(h).
-(h + 1)**2/3
Let i(x) be the second derivative of x**6/40 - 3*x**4/8 - x**3 - 3*x**2/2 + 2*x. Let m(v) be the first derivative of i(v). Factor m(g).
3*(g - 2)*(g + 1)**2
Factor -4*a**4 + 2*a**4 + 5*a + a**2 + a**2 - 2*a**3 - 3*a.
-2*a*(a - 1)*(a + 1)**2
Let q(n) = -9*n**3 + 13*n**2 + n. Let f = -18 - -21. Let y(o) = 5*o**3 - 7*o**2 - o. Let u(l) = f*q(l) + 5*y(l). Solve u(h) = 0.
0, 1
What is c in -1/6*c**5 + 1/3*c**2 - 1/6*c + 1/3*c**3 - 1/6*c**4 - 1/6 = 0?
-1, 1
Let i(x) = -x + 4. Let h be i(0). Factor 2*l**3 + 2*l**4 - 6*l**3 - 4*l**3 - 4*l - h*l**2 + 14*l**2.
2*l*(l - 2)*(l - 1)**2
Let b(c) be the second derivative of -c**7/56 + 3*c**6/20 - 3*c**5/10 - c**4 + 6*c**3 - 12*c**2 + 12*c. Factor b(z).
-3*(z - 2)**4*(z + 2)/4
Factor -39/2*x**2 - 18*x - 6 - 9*x**3 - 3/2*x**4.
-3*(x + 1)**2*(x + 2)**2/2
Suppose 4*g + 5*r + 26 = 9, -3*r = 15. Let -3*h - 17*h**g + 4 + h**2 + 14*h**4 - 2 + 3*h**3 = 0. What is h?
-1, -1/2, 2/7, 1
Let v(t) be the second derivative of 0 + 3/10*t**5 + 0*t**3 - 4*t - 1/15*t**6 + 0*t**2 - 1/3*t**4. Solve v(p) = 0.
0, 1, 2
Let r(f) be the first derivative of f**8/420 - f**7/105 + f**6/90 - 7*f**3/3 + 10. Let y(g) be the third derivative of r(g). Factor y(o).
4*o**2*(o - 1)**2
Let b(o) be the first derivative of -1/3*o**3 + 2*o + 1/2*o**2 - 3. Factor b(w).
-(w - 2)*(w + 1)
Let v = 1127/4 - 281. Find q such that 27/4 - 9/2*q + v*q**2 = 0.
3
Let d(m) = m**3 + 5*m**2 - 2*m - 7. Let v be d(-5). Factor 3*n**2 - 1 + 2*n + 6*n**3 - 5*n - v*n - 2.
3*(n - 1)*(n + 1)*(2*n + 1)
Let g = 447 + -1333/3. Find p, given that 2/3 + g*p + 7/6*p**2 = 0.
-2, -2/7
Solve -1/3*k**4 - 1/9*k**5 + 0*k + 0 + 1/3*k**2 + 1/9*k**3 = 0 for k.
-3, -1, 0, 1
Let m be (-3 + 1 - -2)/(-1). Suppose -3*h - 2*h - 5*l + 25 = m, 20 = -4*h + 4*l. Factor 2/3*w**4 + h + 0*w**2 + 0*w**3 + 0*w - 2/3*w**5.
-2*w**4*(w - 1)/3
Let t(s) = -s**3 + 10*s**2 - 9*s + 2. Let b be t(9). Let c(o) be the first derivative of -b*o + 3/2*o**2 - 1/3*o**3 + 1. Let c(y) = 0. Calculate y.
1, 2
Let d(c) be the third derivative of -c**6/180 - c**5/20 - c**4/6 + c**3/2 + 4*c**2. Let f(h) be the first derivative of d(h). Solve f(t) = 0.
-2, -1
Let h(j) = -j + 7. Suppose 0 = 2*y - 6 - 2. Let k be h(y). Factor a + a**k - 15*a**2 + 14*a**2 + a**4 - 2*a**3.
a*(a - 1)**2*(a + 1)
Suppose 4*m = 2*s - 20, 3*m + 1 = -s - s. Let q(x) be the first derivative of -1/3*x**3 - 1/2*x**2 + 1/4*x**s - 1 + x. Let q(d) = 0. Calculate d.
-1, 1
Let n(o) = o**2 + 1. Let a(m) = 4 + 1 - 3*m + 2*m**2 + 6*m. Let v(c) = a(c) - 5*n(c). Solve v(h) = 0 for h.
0, 1
Suppose 12*s + 105*s**3 + 66*s**2 + 75/2*s**4 + 0 = 0. Calculate s.
-2, -2/5, 0
Let a(h) be the second derivative of -2*h**6/15 - h**5/5 - h**4/8 - 7*h**3/6 + 7*h. Let q(r) be the second derivative of a(r). Find l, given that q(l) = 0.
-1/4
Suppose -2*q**5 + 3/2*q**3 + 5/2*q**2 + 0 - 5/2*q**4 + 1/2*q = 0. Calculate q.
-1, -1/4, 0, 1
Suppose -12 = 3*c + c + 5*a, -4*c - 52 = -5*a. Let g be (-4)/84*(c + 2). Factor 4/7*o - 2/7 - g*o**2.
-2*(o - 1)**2/7
Let o = 249/2690 - -2/269. Let t(u) be the first derivative of 3 - 2/5*u - o*u**4 + 2/15*u**3 + 1/5*u**2. Suppose t(d) = 0. What is d?
-1, 1
Let a(u) be the third derivative of u**5/15 - 7*u**4/24 - u**3/3 - 16*u**2. Factor a(o).
(o - 2)*(4*o + 1)
Let i be (-15)/(-60) + (-7)/(-4). Factor -i*p - 2*p**2 + 0 - 1/2*p**3.
-p*(p + 2)**2/2
Let k(m) = -m - 4. Let c be k(-10). Let u(z) = z**2 - 2*z - 1. Let s be u(3). Find f such that 10*f**2 - f**3 - 5*f**3 + 4 - 14*f + c*f**s = 0.
2/3, 1
Suppose -k + 22 = 4*t - 3*k, 5*k + 27 = 3*t. Let 0 + 3/2*g**3 - 2*g - t*g**2 + 9/2*g**4 = 0. Calculate g.
-2/3, 0, 1
Let m = -47 - -49. Let a(k) be the second derivative of -m*k + 1/6*k**4 + 1/3*k**3 + 0*k**2 + 0. Factor a(v).
2*v*(v + 1)
Determine d so that 1/2*d**4 + 0*d**2 + 0*d + 0*d**3 - 1/2*d**5 + 0 = 0.
0, 1
Let a(j) be the third derivative of -j**8/168 + j**7/105 + j**6/60 - j**5/30 - j**2. Factor a(d).
-2*d**2*(d - 1)**2*(d + 1)
Let g be (10*(-18)/(-20))/(1*3). Let 8/3*x**g - 4/3*x**4 + 4/3 - 8/3*x + 0*x**2 = 0. Calculate x.
-1, 1
Let d(z) = z + 7. Let x be d(-5). Let n be (1/2)/(6/4). Suppose -1/3*i + 1/3*i**x + 1/3*i**3 - n = 0. Calculate i.
-1, 1
Let v(d) = -14*d**2 - 24*d - 12. Let l(m) = -27*m**2 - 48*m - 25. Let n(x) = 4*l(x) - 9*v(x). Suppose n(t) = 0. What is t?
-2/3
Let q = 5 + -5. Factor q*d**2 + 5*d**2 + 3*d + d**2 - 2 + d.
2*(d + 1)*(3*d - 1)
Suppose 15*j**2 + 10*j - 11*j**4 - 35*j**3 + 17*j**5 + 8*j**5 - 4*j**4 = 0. What is j?
-1, -2/5, 0, 1
Let c(k) = 2*k**2 + 8*k + 8. Let g(m) be the third derivative of -m**5/6 - 5*m**4/3 - 20*m**3/3 - 5*m**2. Let w(t) = -11*c(t) - 2*g(t). Factor w(u).
-2*(u + 2)**2
Let i(m) be the first derivative of -1/15*m**3 + 1/5*m + 1/10*m**2 + 1 - 1/20*m**4. Factor i(b).
-(b - 1)*(b + 1)**2/5
Let f = 12 - 3. Suppose m - m**2 + f*m**2 + 4*m**3 - 3*m**2 = 0. Calculate m.
-1, -1/4, 0
Let d(a) be the second derivative of -a + 1/50*a**5 + 3/5*a**2 + 0 - 1/3*a**3 + 1/30*a**4. Factor d(z).
2*(z - 1)**2*(z + 3)/5
Let l(x) be the first derivative of -x**5 + 5*x**4/2 - 5*x**3/3 + 28. Factor l(g).
-5*g**2*(g - 1)**2
Let l(t) be the second derivative of -t**7/2520 - t**6/360 - t**5/120 + t**4/12 - 2*t. Let w(h) be the third derivative of l(h). Let w(x) = 0. Calculate x.
-1
Suppose -3*j + 124 = -5*z, -3*z - 84 = 3*j - 5*j. Find c such that -2*c**3 + j*c**2 - 46*c**2 - c**3 + c**4 = 0.
0, 1, 2
Let q(b) be the first derivative of -b**6/42 - b**5/35 + 8. Factor q(l).
-l**4*(l + 1)/7
Let n = 11 - 9. Let i = 9 - 5. Factor 3*g**2 + 9*g**n - 2*g**4 - 6*g**2 - 9*g**3 - 13*g**i.
-3*g**2*(g + 1)*(5*g - 2)
Let h = 1/43 - -83/129. Factor 0*u**2 - 2/3*u**4 + 0 + 0*u - h*u**3.
-2*u**3*(u + 1)/3
Let g(n) be the second derivative of -n**5/240 + n**4/96 + n**3/12 + 7*n**2/2 + 7*n. Let s(m) be the first derivative of g(m). Solve s(f) = 0.
-1, 2
Factor 5/2*u + u**2 - 3/2 - 3*u**3 + 1/2*u**5 + 1/2*u**4.
(u - 1)**3*(u + 1)*(u + 3)/2
Let a + 24*a**2 - 68*a**4 - 9*a - 68*a**2 - 20*a**5 - 84*a**3 = 0. Calculate a.
-1, -2/5, 0
Factor -2*o**3 - 6*o**3 - 13*o**4 - 6*o**5 + 2*o**3 - 2*o**4.
-3*o**3*(o + 2)*(2*o + 1)
Let w(o) = o**3 - 12*o**2 + 13*o - 3. Let r be w(11). Suppose 4*x**5 - 2*x**5 - r*x**2 + 15*x**2 + 2*x**4 + 2*x**4 - 2*x**3 = 0. Calculate x.
-2, -1, 0, 1
Let f be -1 + (-3)/6*-12. Let -9*p**4 + 3*p**4 + 4*p**f - 4*p**5 - 3*p**3 - 3*p**5 = 0. Calculate p.
-1, 0
Let v = -982 + 987. Solve 3/5*k**v + 0 - 3/5*k**2 - 9/5*k**3 + 6/5*k + 3/5*k**4 = 0 for k.
-2, -1, 0, 1
Let b = 1276/7 - 182. Let u(l) be the first de