 0
Suppose 0 = 3*i - 2*v - 2, -1802*i + 1804*i = -3*v + 10. Factor 10*g + 143/2*g**2 - 882*g**4 - 210*g**3 - i.
-(6*g - 1)**2*(7*g + 2)**2/2
Let a be (6/(-4))/((-6)/4*2/4). Suppose 8*z**a - 2/3*z - 1/3 = 0. Calculate z.
-1/6, 1/4
Let l(v) be the third derivative of 3*v**7/35 - 5*v**6/4 + 44*v**5/15 - 7*v**4/3 + 13*v**2. Factor l(c).
2*c*(c - 7)*(3*c - 2)**2
Suppose -7*h + 735 = 175. Let y be (-20)/h - (-2 + (-14)/(-8)). Determine t, given that 2/9*t**3 - 4/9*t**4 + 0 + 2/9*t**5 + y*t**2 + 0*t = 0.
0, 1
Let h = 1154 + -1150. Factor 0 + 2/7*y**h - 6/7*y**2 + 4/7*y + 0*y**3.
2*y*(y - 1)**2*(y + 2)/7
Let i(x) be the third derivative of x**8/504 - x**6/30 - 4*x**5/45 - x**4/12 - 142*x**2. Solve i(w) = 0 for w.
-1, 0, 3
Suppose 3*b + 2*s + 4 = 0, 5*s + 6 = -5*b - 9. Factor 4*t + 4 - 9 + 3*t**2 - b*t**2.
(t - 1)*(t + 5)
Let j be (-80)/130*((-39)/12 + 3). Let s(m) be the first derivative of 10/39*m**3 - 6 + 0*m - j*m**2 - 3/26*m**4. Factor s(r).
-2*r*(r - 1)*(3*r - 2)/13
Let l = -484 - -2424/5. Let k be 3 + -1*39/15. Suppose -k*a**3 + 0*a + 0 + 2/5*a**5 + l*a**4 - 4/5*a**2 = 0. Calculate a.
-2, -1, 0, 1
Let r(o) be the third derivative of 1/420*o**5 + 0*o**4 + 0*o + 0 - 2/21*o**3 + 11*o**2. Factor r(a).
(a - 2)*(a + 2)/7
Let c(k) be the first derivative of k**4/10 + 8*k**3/15 + 3*k**2/5 - 116. Factor c(s).
2*s*(s + 1)*(s + 3)/5
Let c = -873 + 875. Let m(y) be the second derivative of 2*y + 1/18*y**4 + 0*y**c + 0*y**3 - 2/15*y**6 + 1/18*y**7 + 0 + 1/20*y**5. Factor m(a).
a**2*(a - 1)**2*(7*a + 2)/3
Let q be ((-60)/(-630))/((-1)/(-3)). Find g, given that -2/7*g**2 + q*g**3 + 0*g + 0 = 0.
0, 1
Let k(j) be the first derivative of 17*j**4/8 - 7*j**3/3 - j**2 - 25*j + 5. Let r(x) be the first derivative of k(x). Factor r(w).
(3*w - 2)*(17*w + 2)/2
Let k = 478/57 + -153/19. Solve 1/3*l + 0 - k*l**2 = 0.
0, 1
Let t(j) be the second derivative of j**4/12 + 29*j**3 + 7569*j**2/2 + 50*j - 2. Factor t(w).
(w + 87)**2
Let u(z) be the third derivative of -z**6/90 - 7*z**5/90 + 77*z**4/36 + 40*z**3/9 - 4*z**2. What is m in u(m) = 0?
-8, -1/2, 5
Let g(x) = 2*x - 10. Let f be g(7). Factor -9 - 9 + 80*a**3 - 24*a**2 - 25*a**f - 64*a + 3 - 1.
-(a - 2)**2*(5*a + 2)**2
Let z(c) be the third derivative of 0*c + 17*c**2 + 0 - 1/6*c**4 + 4/3*c**3 - 1/15*c**6 - 1/3*c**5. Factor z(s).
-4*(s + 1)*(s + 2)*(2*s - 1)
Let f(b) be the third derivative of b**6/24 + b**5/6 - 5*b**4/6 - 20*b**3/3 + b**2 - 44*b. Determine d, given that f(d) = 0.
-2, 2
Let p = -19 - -7. Let b = -10 - p. Factor -2*q**3 - q**5 + b*q**3.
-q**5
Suppose -3*t = 9*t - 3*t. Solve 0*v**3 + 0 + v**4 - 1/3*v**2 + t*v + 2/3*v**5 = 0 for v.
-1, 0, 1/2
Let n(o) be the third derivative of o**5/45 + 2*o**4/9 + 234*o**2. Factor n(w).
4*w*(w + 4)/3
Suppose 2*p + p = 2*b + 19, 2*p + 2*b + 4 = 0. Factor -4*o**p - 16*o**5 - 2*o**3 + 4*o**3 + 18*o**5.
2*o**3*(o - 1)*(o + 1)
Let x(q) = q**3 + q**2. Let h(t) = -t**2 - t - 1. Let m(y) = -5*y**3 + y**2 + 6*y + 4. Let j(w) = 4*h(w) + m(w). Let n(i) = j(i) + 6*x(i). Factor n(o).
o*(o + 1)*(o + 2)
Let c(j) be the first derivative of 1/3*j**3 + 9 + 1/6*j**4 + 1/3*j**2 + 1/6*j + 1/30*j**5. Suppose c(z) = 0. Calculate z.
-1
Let u = -55/8 + 513/56. Solve -16/7*o + 4/7*o**2 + u = 0 for o.
2
Let m(i) be the second derivative of -i**8/1680 - i**7/630 + i**6/90 + 2*i**4/3 + i. Let q(h) be the third derivative of m(h). Suppose q(l) = 0. Calculate l.
-2, 0, 1
Let l(t) be the second derivative of 2*t + 1/90*t**6 + 0*t**2 + 0*t**4 + 0 + 0*t**3 - 1/60*t**5. Suppose l(o) = 0. What is o?
0, 1
Let f be 2/(-3)*879/(-2051). Factor -2*r**4 + f*r**5 - 6/7 + 36/7*r**3 + 26/7*r - 44/7*r**2.
2*(r - 3)*(r - 1)**4/7
Suppose 3*w = -0*h + 5*h - 12, 0 = -2*h - 2*w - 8. Let v(d) be the second derivative of 0*d**2 - 1/225*d**6 + h + 0*d**3 - d + 0*d**4 + 1/150*d**5. Factor v(k).
-2*k**3*(k - 1)/15
Let b(l) be the first derivative of -1/18*l**4 + 1/3*l**2 - 1/30*l**5 - 2*l + 6 + 1/9*l**3. Let j(h) be the first derivative of b(h). Factor j(c).
-2*(c - 1)*(c + 1)**2/3
Let g(t) be the third derivative of t**9/241920 - t**8/40320 - 4*t**5/15 + 15*t**2. Let n(c) be the third derivative of g(c). Factor n(u).
u**2*(u - 2)/4
Let a(f) be the first derivative of 0*f**3 + 0*f**2 + 6*f**2 + 10 + 6*f**2 + 8*f + 6*f**3. Factor a(m).
2*(3*m + 2)**2
Factor -17 + 231*c**3 + 1 + 8*c**2 - c**4 - 231*c**3.
-(c - 2)**2*(c + 2)**2
Let r(j) = -j + 35. Let w be r(10). Suppose -c + 14 = 4*i, -c + w - 8 = 5*i. Let 1 + 1/2*n**5 - 5/2*n - 2*n**4 + 2*n**i + n**2 = 0. What is n?
-1, 1, 2
Let o be (11/(638/(-752)))/(18/4). Let k = -32/29 - o. Let -10/9*r**2 + k*r - 8/9 + 2/9*r**3 = 0. What is r?
1, 2
Let m = -7 - -37. Suppose -3*d + m = 3*l, -4*d + 48 = -0*l + 5*l. Factor 4*x**2 - l*x**2 + 8*x**2 - 2*x.
2*x*(2*x - 1)
Find y, given that 0 - 1/4*y**3 + 3*y - 11/4*y**2 = 0.
-12, 0, 1
Suppose 68*v = -16 + 16. Let 15/2*z**4 + v - 3*z + 3/2*z**2 + 12*z**3 = 0. Calculate z.
-1, 0, 2/5
Let w be 6*(3 - 2) + 0. Let v(r) = 10*r**4 - 50*r**3 + 140*r**2 - 100*r. Let k(d) = -d**4 + d**3. Let b(y) = w*k(y) + v(y). Let b(f) = 0. What is f?
0, 1, 5
Suppose -10 = n - r - 2*r, -5*n + 22 = 3*r. Determine t, given that -7*t - 4*t**3 + 5*t - 6*t - 12*t**n = 0.
-2, -1, 0
Determine u so that 48*u**3 - 8*u**2 - 31*u**3 - 2*u**4 - 25*u**3 = 0.
-2, 0
Let c = 344 + -2400/7. Let l be (-15)/30 + (-99)/(-14) + -6. Solve -4/7*r + 0*r**3 + 0 + c*r**2 - 8/7*r**4 + l*r**5 = 0 for r.
-1, 0, 1
Let j = 103/222 + 15/74. Factor 2/3*u**4 - 2*u**2 + 4/3 - 2/3*u**3 + j*u.
2*(u - 2)*(u - 1)*(u + 1)**2/3
Let -1/9*u**2 - 1 - 2/3*u = 0. Calculate u.
-3
Let h(n) be the second derivative of -11*n**9/75600 + n**8/1680 - n**7/1800 - n**6/1800 - 2*n**4 + 3*n. Let t(x) be the third derivative of h(x). Factor t(y).
-y*(y - 1)**2*(11*y + 2)/5
Let m(x) be the second derivative of -x**6/600 + x**4/120 + 7*x**2/2 + 15*x. Let z(a) be the first derivative of m(a). Factor z(q).
-q*(q - 1)*(q + 1)/5
Let x(t) be the third derivative of -t**6/900 + t**5/150 - t**4/60 - 2*t**3/3 + 15*t**2. Let y(j) be the first derivative of x(j). What is z in y(z) = 0?
1
Let p(m) be the third derivative of 0 + 0*m**3 - 14*m**2 + 0*m - 5/336*m**8 - 1/24*m**6 + 5/12*m**4 - 1/4*m**5 + 1/14*m**7. Determine v, given that p(v) = 0.
-1, 0, 1, 2
Let k(a) be the third derivative of a**8/5040 + a**7/180 - 8*a**5/15 + 24*a**2. Let w(v) be the third derivative of k(v). Factor w(i).
4*i*(i + 7)
Let y = -30596/17 - -1800. Solve 6/17*i**2 - y*i + 0 = 0 for i.
0, 2/3
Let o(l) be the first derivative of -l**4/10 - 78*l**3/5 - 4563*l**2/5 - 118638*l/5 - 89. Suppose o(a) = 0. Calculate a.
-39
Let a(v) = 107*v + 119. Let h be a(-1). Factor 9/2*d**4 + h*d - 27/2*d**2 - 2 - d**3.
(d - 1)**2*(d + 2)*(9*d - 2)/2
Let y(t) = -4*t**4 - 8*t**3 + 4*t**2 - t + 6. Let d(h) = 7*h**4 + 15*h**3 - 7*h**2 - 10. Let j(g) = -3*d(g) - 5*y(g). Suppose j(q) = 0. What is q?
-5, -1, 0, 1
Let b(p) be the first derivative of p**5/5 + 5*p**4 + 118*p**3/3 + 90*p**2 + 81*p - 164. Factor b(n).
(n + 1)**2*(n + 9)**2
Determine g so that -2/19*g**2 + 0 + 2/19*g**4 - 2/19*g**5 + 6/19*g**3 - 4/19*g = 0.
-1, 0, 1, 2
Factor -2*w**4 + 8*w - 3*w**3 - 2 - 30*w**2 + 24*w**2 - 5*w**3 + 10.
-2*(w - 1)*(w + 1)*(w + 2)**2
Let u be 11/6 + 3/18. Factor 2*s**2 - s**5 - 9*s**4 - 2*s**5 + 10*s**2 + 0*s**u.
-3*s**2*(s - 1)*(s + 2)**2
Factor 4/5*w**3 + 68/5 + 76/5*w**2 + 28*w.
4*(w + 1)**2*(w + 17)/5
Let z(s) be the first derivative of -s**6/1440 - s**5/480 + s**4/48 + 11*s**3/3 + 11. Let b(p) be the third derivative of z(p). Find l, given that b(l) = 0.
-2, 1
Let n(q) be the first derivative of 0*q + 21 - 2/5*q**5 - 8*q**2 - 3*q**4 - 8*q**3. Solve n(g) = 0.
-2, 0
Suppose -3*y = 1 - 4. Let l be y/4*(6 - 4). Suppose -1/2*f**2 + l + 0*f = 0. Calculate f.
-1, 1
What is w in -6 - 3/2*w**2 - 6*w = 0?
-2
Let g(m) be the third derivative of -m**8/6720 - m**7/2520 + m**6/360 - 2*m**4/3 - 12*m**2. Let a(p) be the second derivative of g(p). Factor a(s).
-s*(s - 1)*(s + 2)
Let o(p) = 5*p**2 + 1. Let d(z) be the first derivative of -2*z**3 - z**2/2 - 2*z + 2. Let x(h) = -2*d(h) - 3*o(h). Let x(l) = 0. Calculate l.
-1/3, 1
Solve 7900*l - 5*l**4 - 1 - 7908*l + l**2 + l**5 + 3*l**3 + 0*l**5 + 5 + 4*l**3 = 0 for l.
-1, 1, 2
Let u be 4 - -1*(-1 + -3). Suppose -4*d - d + 40 = u. Factor d*x**2 - 7*x + x - 