 + 0*t**2 + 2/7*t**i + 0 = 0.
0, 2
Let m(c) = -3*c - 15. Let u be m(-6). Let -17*r**2 - 32*r**2 - 4*r**4 + 48*r + 1 + 24*r**3 - u*r**2 - 17 = 0. Calculate r.
1, 2
Let c(k) be the first derivative of -k**3/21 - 5*k**2/14 - 6*k/7 + 1. Factor c(g).
-(g + 2)*(g + 3)/7
Let r(v) = 2*v**3 + v**2 + 3*v - 3. Let u = 13 - 11. Let j(s) = -s**3 - s**2 - 2*s + 2. Let n(t) = u*r(t) + 3*j(t). Factor n(z).
z**2*(z - 1)
Let r(a) = -a**2 - 6*a - 5. Let t be r(-2). Suppose -5*l + v + 12 = -1, -t*v - 1 = 4*l. Factor 2/5 + 2/5*q**l - 4/5*q.
2*(q - 1)**2/5
Let c be 1/1 - (4 + -6) - 0. Let l(s) be the third derivative of -1/60*s**6 + 1/12*s**4 - s**2 - 1/6*s**5 + 0 + 1/35*s**7 + 2/3*s**c + 0*s. Factor l(y).
2*(y - 1)**2*(y + 1)*(3*y + 2)
Let g(r) be the second derivative of -r**5/130 + r**4/39 + 7*r**3/39 + 4*r**2/13 - 22*r. Factor g(v).
-2*(v - 4)*(v + 1)**2/13
Let q(o) be the first derivative of -o**6/20 + 3*o**5/20 - o**4/8 + 3*o - 4. Let d(m) be the first derivative of q(m). Factor d(f).
-3*f**2*(f - 1)**2/2
Factor 20*v**5 - 24*v**5 + 4*v**3 + 0*v**3.
-4*v**3*(v - 1)*(v + 1)
Let s(p) = p**2 - 2*p - 5. Let l be s(4). Let 5*b**5 + 0*b**2 + b**4 - b**2 - 2*b**5 - 3*b**l = 0. What is b?
-1, -1/3, 0, 1
Let q(a) = 7*a - 3. Let r be q(5). Factor r + z**2 + z - 32.
z*(z + 1)
Factor 0*a - a + 6*a - 15*a**2 + a.
-3*a*(5*a - 2)
Let q(c) = -c**2 - 12*c - 15. Let y be q(-10). Factor 4 + 0*h**2 + 4*h**2 - 2*h - y*h**2 - 5*h**2.
-2*(h + 1)*(3*h - 2)
Let p(d) = 2*d**2 + 3*d + 1. Let c(v) = -3*v**2 - 4*v. Let t(g) = 3*c(g) + 4*p(g). Factor t(j).
-(j - 2)*(j + 2)
Let g be 0/(6/(-4)*(-6)/(-9)). Determine f so that 4*f**5 - 9*f**3 + g - f + 11/2*f**2 + 2*f**4 = 0.
-2, 0, 1/2
Factor 8*p**2 + 12*p**4 + 11*p**2 - 19*p**2 + 8*p**3 + 4*p**5.
4*p**3*(p + 1)*(p + 2)
Suppose -b = 1, -2*g + 2 = -5*b - 11. Suppose -z + 3 = -g. Determine x so that -3*x + 0 + 0 + 5*x**2 + z*x**3 + x = 0.
-1, 0, 2/7
Factor -1/2*k**4 + 1/4*k**5 - 1/2*k**3 + 1/2 + 2*k**2 - 7/4*k.
(k - 1)**4*(k + 2)/4
Let z(b) = 2*b**2 - 13. Let k(r) = -r**2 + 6. Let o(g) = 13*k(g) + 6*z(g). Factor o(w).
-w**2
Let n(c) be the first derivative of -2*c**6 + 28*c**5/5 + 6*c**4 - 16*c**3 - 16*c**2 + 65. Solve n(t) = 0 for t.
-1, -2/3, 0, 2
Let g(o) be the second derivative of 0 - 1/12*o**4 + 1/10*o**5 + 0*o**3 - 2*o + 0*o**2. Factor g(a).
a**2*(2*a - 1)
Let i(v) = -11*v**5 - 56*v**4 - 52*v**3 - 14*v**2 - 2*v. Let k(s) = s**5 + s**3 + s**2. Let b(g) = -2*i(g) + 10*k(g). Suppose b(u) = 0. What is u?
-2, -1, -1/4, 0
Let z be (-12)/1*(-1)/2. Solve -z*i**2 - 3/2 + 15/2*i = 0.
1/4, 1
Factor 47*u**2 - 32 - 17*u - 20*u**3 + 91*u**2 - 23*u - 46*u**2.
-4*(u - 4)*(u - 1)*(5*u + 2)
Let x be ((-4)/24*-3)/(10/16). Find m such that 2/5*m**2 - x*m + 2/5 = 0.
1
Let h be 188/560 - (-4)/(-14). Let p(z) be the first derivative of 3 - 1/15*z**3 + h*z**4 + 1/5*z - 1/10*z**2. Let p(i) = 0. What is i?
-1, 1
Suppose 0 = -4*x + y - 0*y + 14, -4*y + 16 = 2*x. Factor -8*h**2 + 2*h**3 + x*h**4 + 2 + 0*h + 2*h**2 - 2*h.
2*(h - 1)*(h + 1)**2*(2*h - 1)
Let s = 7099/12 + -591. Let p(v) be the first derivative of -7/4*v**4 - 2/3*v**3 - 2 + s*v**6 + 7/4*v**2 + 1/5*v**5 + v. Find w, given that p(w) = 0.
-1, -2/7, 1
Let j(w) be the second derivative of -w**7/231 + w**5/55 - w**3/33 - 12*w. Determine h, given that j(h) = 0.
-1, 0, 1
Let c(v) = v**2 - 26*v + 88. Let a be c(22). Determine h, given that 4/5*h + a + 0*h**2 - 1/5*h**3 = 0.
-2, 0, 2
Suppose -5*j + 4*w = -11, 4*j + 5*w - 16 = 1. Factor 0*k**2 - 2*k**2 + k**3 - j*k**3 + 2*k**4 + 2*k.
2*k*(k - 1)**2*(k + 1)
Suppose 3*q - 44 = -29. Suppose -1/4*z**4 + 0 - 1/4*z**3 + 0*z + 1/4*z**2 + 1/4*z**q = 0. Calculate z.
-1, 0, 1
Let w be -1*64/(-30) - (-2)/(-15). Factor -6/7*r + 4/7 + 2/7*r**w.
2*(r - 2)*(r - 1)/7
Suppose 5*t - 24 = 16. Suppose -t - 12 = -4*f. Solve -12*o**2 - 5*o**f + 0*o + 2*o**5 + 11*o**4 - 6*o**3 + 8*o = 0.
-1, 0, 2/3, 2
Let k(m) = -2*m**3 - 2*m**2 + 5*m - 5. Let g(u) = 2*u**3 + 2*u**2 - 6*u + 6. Let l(p) = -5*g(p) - 6*k(p). Suppose l(d) = 0. What is d?
-1, 0
Let s(t) be the third derivative of 3*t**7/70 - t**6/5 - 2*t**5/15 + 4*t**4/3 + 8*t**3/3 + 4*t**2. Let s(n) = 0. Calculate n.
-2/3, 2
Factor -11*s**2 + 17*s - 11*s + 49 + 26*s**2 + s**3 + 57*s.
(s + 1)*(s + 7)**2
Suppose 8 + r**2 + 1 - 1 + 6*r + 1 = 0. What is r?
-3
Suppose -2*b + 3*b - 3 = 0. Suppose 5*f + 14 = 2*p, b*p - 4*f = p + 12. Suppose 7*h**2 + 0 - h**2 - 2*h**3 - 6*h + p = 0. What is h?
1
Let x(t) be the first derivative of t**6/15 + 2*t**5/25 - t**4/2 - 2*t**3/15 + 8*t**2/5 - 8*t/5 - 10. What is j in x(j) = 0?
-2, 1
Let h = -4/193 - -201/386. Factor -h*p**4 + 3/2*p**2 - 2 + p**3 - 2*p.
-(p - 2)**2*(p + 1)**2/2
Let d = -114 - -114. Factor -1/2*b + 1/2*b**3 - 1/2*b**4 + 1/2*b**2 + d.
-b*(b - 1)**2*(b + 1)/2
Let k = 0 - -2. Suppose -3*t + 3*t - t**2 - k*t = 0. Calculate t.
-2, 0
Let q(j) be the first derivative of j**4/20 + 8*j**3/15 + 17*j**2/10 + 2*j + 26. Let q(c) = 0. Calculate c.
-5, -2, -1
Let d(q) be the second derivative of 8*q - 1/8*q**4 - 3/80*q**5 + 3/4*q**2 + 0 + 1/8*q**3. Factor d(p).
-3*(p - 1)*(p + 1)*(p + 2)/4
Let k = 32 + -27. Suppose -k*y + 7 = -8. Determine g so that -46*g**4 - 64/5*g**2 - 186/5*g**y - 8/5*g + 0 - 20*g**5 = 0.
-1, -1/2, -2/5, 0
Let l(c) be the first derivative of c**4/34 - 2*c**3/51 - 24. Factor l(z).
2*z**2*(z - 1)/17
Let s = 87 + -84. Let n(g) be the second derivative of 4*g - 1/21*g**s + 1/70*g**5 + 0*g**2 + 0 - 1/105*g**6 + 1/42*g**4. Factor n(c).
-2*c*(c - 1)**2*(c + 1)/7
Let y(d) be the second derivative of -d**6/75 - 2*d**5/25 + d**4/30 + 4*d**3/15 - 3*d. Factor y(k).
-2*k*(k - 1)*(k + 1)*(k + 4)/5
Let a(f) be the second derivative of 0*f**4 + 0 + 3*f - 1/9*f**3 + 0*f**2 + 1/15*f**5 + 0*f**6 - 1/63*f**7. Factor a(m).
-2*m*(m - 1)**2*(m + 1)**2/3
Let u(z) be the second derivative of z**6/45 + z**5/10 + z**4/9 + 5*z. Solve u(l) = 0.
-2, -1, 0
Let r(k) be the second derivative of -k**7/2520 + k**5/360 + k**3/3 + 4*k. Let u(m) be the second derivative of r(m). Let u(i) = 0. Calculate i.
-1, 0, 1
What is r in -5*r**2 + 7*r**2 + 4*r**2 - r**3 + 0*r**2 = 0?
0, 6
Let p be (18/(-12))/(-1*(-3)/(-4)). Solve w + 1/3*w**p + 2/3 = 0.
-2, -1
Let s(t) be the third derivative of 6*t**2 + 1/10*t**6 + 0 - 11/15*t**5 + 0*t + 4/3*t**4 + 8/3*t**3. Factor s(n).
4*(n - 2)**2*(3*n + 1)
Suppose 0*y = 5*y - 30. Suppose -t - 2*t = -y. Solve -1/4*u**t + 0*u + 1/4 = 0.
-1, 1
Factor 1/5*t + 1/5*t**2 - 2/5.
(t - 1)*(t + 2)/5
Let b(p) be the first derivative of -p**5/10 - 3*p**4/2 - 23*p**3/3 - 15*p**2 - 25*p/2 - 9. Factor b(g).
-(g + 1)**2*(g + 5)**2/2
Let w(q) be the third derivative of -1/420*q**6 + 1/735*q**7 + 0*q**4 + 0*q**3 + 0*q + 0*q**5 + 5*q**2 + 0. Factor w(z).
2*z**3*(z - 1)/7
Let s be 3/((-15)/(-2)) - (-1332)/270. Find z such that 0 + 8*z**2 + 14*z**4 + s*z - 100/3*z**3 = 0.
-2/7, 0, 2/3, 2
Let j(q) be the third derivative of -q**7/10 + 37*q**6/120 + 43*q**5/210 - q**4/6 - 4*q**3/21 - q**2. Suppose j(c) = 0. What is c?
-2/7, 1/3, 2
Let x be (-8)/12*(-12)/(-38). Let k = x + 35/76. Factor 0*g + 0 - 1/4*g**2 - k*g**3.
-g**2*(g + 1)/4
Let g = -21 + 31. Suppose -3*m = -g + 1. Factor b + 0*b**m + 3*b - 2*b**3 + 2*b**2.
-2*b*(b - 2)*(b + 1)
Suppose -5*g - 3*z = -z - 5, 0 = 4*g - 2*z - 22. Let l = 0 + g. Factor 0*w**2 - l*w**2 - w**3 + 2*w**2.
-w**2*(w + 1)
Let b = 5 - 8. Let x(t) = -t**3 - 3*t**2 - t. Let w be x(b). Factor 9*g + 7*g - 3*g**2 - w*g**2 - 8.
-2*(g - 2)*(3*g - 2)
Let g(y) be the first derivative of 3*y**4/46 - 26*y**3/69 + 16*y**2/23 - 8*y/23 + 19. Determine x, given that g(x) = 0.
1/3, 2
Suppose -3*d = -d - 4*z, 0 = -4*d - 2*z. Factor -10/3*f**4 + 14/3*f**3 - 4/3*f**2 + d*f + 0.
-2*f**2*(f - 1)*(5*f - 2)/3
Let p be (0 - -1)*11/22*6. Let v(t) be the second derivative of 1/6*t**4 + 1/6*t**p - 4*t + 0 + 1/42*t**7 - 1/2*t**2 - 1/30*t**6 - 1/10*t**5. Factor v(j).
(j - 1)**3*(j + 1)**2
Let c(m) be the third derivative of 3*m**5/160 - m**4/32 + m**3/48 - 9*m**2. Suppose c(l) = 0. What is l?
1/3
Let c(r) be the second derivative of r**4/2 + r**3/3 + r + 6. Factor c(l).
2*l*(3*l + 1)
Let f(x) be the third derivative of x**8/80640 - x**7/10080 + x**6/2880 - x**5/20 + x**2. Let r(k) be the third derivative of f(k). Factor r(w).
(w - 1)**2/4
Let j(v) be the first derivative of v**3/6 - 3*v**2/4 - 2*v + 5. What is c in j