be (-447)/900 + 3/6. Let t(z) be the third derivative of z**2 - 1/60*z**4 + 0*z + 0*z**3 + 0 - 1/75*z**5 - h*z**6. What is y in t(y) = 0?
-1, 0
Let w(g) be the second derivative of 1/210*g**7 - 2/75*g**6 + 3*g + 3/50*g**5 + 1/30*g**3 + 0*g**2 - 1/15*g**4 + 0. Factor w(x).
x*(x - 1)**4/5
Let r(h) = -h**2 + 6*h + 9. Let w be r(7). Suppose 0 = -w*c + 3*c. Factor 0*d + c + 1/2*d**2.
d**2/2
Let s = -1 - -1. Suppose -2 + s*h**2 + 4*h**2 - h - h**2 = 0. What is h?
-2/3, 1
Suppose 4/13 + 10/13*c**2 - 14/13*c = 0. What is c?
2/5, 1
Let l(j) = -5*j - 15. Let u be l(-6). Let x = 19 - u. Factor -14/5*z**x - 6/5*z**2 + 0 + 24/5*z**3 - 4/5*z.
-2*z*(z - 1)**2*(7*z + 2)/5
Let z(j) be the third derivative of -j**6/120 - j**5/60 + 10*j**2. Let z(p) = 0. What is p?
-1, 0
Let p(s) = 13*s**3 + 61*s**2 + 117*s + 33. Let v(u) = 38*u**3 + 184*u**2 + 350*u + 100. Let w(j) = 8*p(j) - 3*v(j). Solve w(n) = 0.
-3, -2/5
Let i(o) be the second derivative of -1/16*o**4 - 1/80*o**5 + 3*o - 1/12*o**3 + 0 + 0*o**2. Suppose i(l) = 0. What is l?
-2, -1, 0
Let u(b) be the first derivative of -2*b**3/21 + 2*b**2/7 + 6*b/7 + 20. Suppose u(x) = 0. What is x?
-1, 3
Let s(m) = -3*m**3 - m**2 - m - 1. Let q be s(-1). Solve -1 - 17*r**q + r**5 + r + 19*r**2 + 2*r**3 - r**4 - 4*r**3 = 0.
-1, 1
Let l(b) be the first derivative of 1/8*b**4 + 1 + 0*b**2 - 1/12*b**3 + 0*b - 1/20*b**5. Factor l(o).
-o**2*(o - 1)**2/4
Suppose -4/7*y - 6/7*y**2 + 0 - 2/7*y**3 = 0. Calculate y.
-2, -1, 0
Suppose -7 = -5*i - 4*m, i - 11 = -2*m + 6*m. Suppose 3*v - 40 = -5*n, -4*n - i*v = 2*v - 45. Find a, given that -6*a**3 - 3*a + n*a**3 + 3*a - a + 2*a**2 = 0.
0, 1
Let f(m) be the third derivative of m**8/48 + 17*m**7/70 + 91*m**6/120 + 19*m**5/20 + 5*m**4/12 + 30*m**2. Find u, given that f(u) = 0.
-5, -1, -2/7, 0
Let m be 2 - ((-100)/450 + 40/18). Let o be (-2 - -1)*(-3 + 1). Suppose 4/3*f + m + 10/3*f**o = 0. Calculate f.
-2/5, 0
Let i(r) = r**3 + 5*r**2 - 5*r + 3. Let j be i(-6). Let t be (-5)/j - 0 - 1. Factor t*m**3 + 0 + 5/3*m**4 + 0*m**2 + 0*m.
m**3*(5*m + 2)/3
Let j(v) = 4*v**3 + 2*v**2 - 4*v - 2. Let p = 7 + -1. Suppose p = 3*a - 3. Let g(i) = 5*i**3 + 3*i**2 - 5*i - 3. Let x(f) = a*g(f) - 4*j(f). Factor x(h).
-(h - 1)**2*(h + 1)
Let i be (-3 - 9 - -2) + 0. Let g = i + 10. Suppose 0*r + 1/4*r**4 + 0*r**2 + 1/4*r**3 + g = 0. Calculate r.
-1, 0
Let w be 2 + (0/2)/((-22)/(-11)). Let s(a) be the third derivative of 0 - 1/210*a**5 - 2*a**w - 4/21*a**3 + 0*a - 1/21*a**4. Factor s(f).
-2*(f + 2)**2/7
Let a(k) = k**2 - 18*k + 56. Let v be a(14). What is n in 0*n**3 + 2/9*n**5 + 4/9*n**4 + v - 4/9*n**2 - 2/9*n = 0?
-1, 0, 1
Factor 0*p**2 + 0*p**2 - 5*p + p**3 + 4*p**3.
5*p*(p - 1)*(p + 1)
Let f be (-2)/(-5)*10/20. Let p(l) be the first derivative of -2 + 2/25*l**5 + 4/5*l**2 - 2/5*l**3 - f*l**4 + 8/5*l. Determine r so that p(r) = 0.
-1, 2
Let z be ((-4)/6)/((-10)/30). Let x be (8 - 8)*z/4. Determine o so that -1/2*o**2 + 1/2*o**4 + 0 + x*o + 0*o**3 = 0.
-1, 0, 1
Let w(x) = -x**2 + x - 1. Let p be w(-2). Let c be (-264)/(-84) + 1/p. Factor -3/2*z**3 + 3*z**2 - c + 3/2*z.
-3*(z - 2)*(z - 1)*(z + 1)/2
Suppose 4*a + 0 - 8 = 0. Factor -3*g + 2*g**4 - 7*g**2 + 5*g**2 + a*g + g**5.
g*(g - 1)*(g + 1)**3
Let m(s) be the second derivative of -s**4/20 - 7*s**3/5 - 147*s**2/10 + 2*s. What is c in m(c) = 0?
-7
Let b(u) be the second derivative of -u**7/42 - u**6/10 - u**5/10 + u**4/6 + u**3/2 + u**2/2 + 6*u. Factor b(a).
-(a - 1)*(a + 1)**4
Let 0 + 8/3*d**2 - 2/3*d - 2/3*d**5 - 4*d**3 + 8/3*d**4 = 0. What is d?
0, 1
Let z(j) be the second derivative of -5*j**4/12 - 20*j**3/3 - 40*j**2 - 8*j. Factor z(y).
-5*(y + 4)**2
Let t be 6/15 + 103/5. Suppose 0 = -5*h + 39 + t. Factor -3*y**2 + y**2 - 12*y - y**2 - h.
-3*(y + 2)**2
Let i(x) be the third derivative of x**7/2310 - x**6/1320 - x**5/660 + x**4/264 + 20*x**2. Let i(q) = 0. What is q?
-1, 0, 1
Suppose 4*x = 7*x - 18. Suppose x = 2*m + m. Determine i, given that -1 - 2 + 16*i - 5 + 10*i**m = 0.
-2, 2/5
Let n(t) = t - 2. Let c be n(4). Determine x, given that -3*x + 3*x**2 - c + 3*x**3 - 1 + 0 + 0 = 0.
-1, 1
Let r(u) be the third derivative of -u**7/1680 - u**6/720 - 4*u**3/3 - 4*u**2. Let j(a) be the first derivative of r(a). Factor j(k).
-k**2*(k + 1)/2
Let c = -1 - -6. Solve -c*o**2 + 15*o - o**2 - 1 - 5 = 0.
1/2, 2
Let k(f) = 16*f**5 + 4*f**4 + 12*f**3 + 10*f**2 + 14*f. Let y(n) = -n**5 - n**3 - n**2 - n. Let d(u) = -2*k(u) - 28*y(u). Suppose d(l) = 0. What is l?
-2, -1, 0, 1
Let a = -2 - -6. Factor 2 - a*k + 4*k - 4*k**2 + 3*k**4 - k**4.
2*(k - 1)**2*(k + 1)**2
Let c = -21 - -21. Let u(a) be the third derivative of 0*a - 1/210*a**5 + 3*a**2 + c + 0*a**4 + 1/21*a**3. Find j such that u(j) = 0.
-1, 1
Factor -1/4*w**4 + 0*w**2 + 0 + 0*w + 1/4*w**3.
-w**3*(w - 1)/4
Let h(d) = 3*d - 2. Let j(q) = -4*q + 3. Let n(b) = -6*h(b) - 5*j(b). Let y be n(3). Factor -2/3*i**y + 2/3*i**4 + 0*i + 0 + 2/3*i**5 - 2/3*i**2.
2*i**2*(i - 1)*(i + 1)**2/3
Let f = 79 + -161. Let g be (-2)/(-5) - f/20. Factor 2*x + g*x**3 - 6*x**2 + 0.
x*(3*x - 2)**2/2
Let q(i) = -i**2 - 5*i - 4. Let w be q(-4). Let p(l) be the first derivative of 0*l**2 + w*l - 1/9*l**3 + 1. Suppose p(z) = 0. Calculate z.
0
Let h be 87/(-90) + (-5)/(-5). Let a(g) be the second derivative of 1/15*g**3 + 0 - h*g**4 + g + 0*g**2. Factor a(w).
-2*w*(w - 1)/5
Let j(w) be the first derivative of w**7/1155 + w**6/220 + w**5/110 + w**4/132 - 2*w**2 - 4. Let s(g) be the second derivative of j(g). Solve s(k) = 0 for k.
-1, 0
Let f(p) = p**3 + 11*p**2 - 13*p - 14. Let r be f(-12). Let w be r/(-14) + 54/210. Solve 8/5*x**2 + 0 - 2/5*x**3 - 8/5*x**4 + w*x = 0 for x.
-1, -1/4, 0, 1
Suppose 8*i + 25 = 3*i - 3*d, 4*d = 0. Let r = 8 + i. Factor -1/2*u + 1/2*u**r - 1/2*u**4 + 0 + 1/2*u**2.
-u*(u - 1)**2*(u + 1)/2
Let q(x) be the first derivative of -x**6/2 - 7*x**5/15 + 5*x**4/3 - 4*x**3/9 - 8. Determine l so that q(l) = 0.
-2, 0, 2/9, 1
Let d(b) = b**2 + 7*b + 4. Let g(z) = z**2 + 7*z + 3. Let p(x) = 3*d(x) - 2*g(x). Solve p(w) = 0 for w.
-6, -1
Let s(p) be the second derivative of -p**7/21 - p**6/5 - p**5/5 + p**4/3 + p**3 + p**2 - 48*p. Suppose s(v) = 0. Calculate v.
-1, 1
Let g(w) = w - 14. Let p(b) = -1. Let u(j) = g(j) - 3*p(j). Let y be u(11). Factor -1/2*v**3 + 5/4*v**5 + 0*v**2 + y*v + 0 - 3/4*v**4.
v**3*(v - 1)*(5*v + 2)/4
Let l(o) = 43*o + 131. Let m be l(-3). Factor 4/11*c - 2/11*c**m - 4/11*c**3 + 2/11*c**4 + 0.
2*c*(c - 2)*(c - 1)*(c + 1)/11
Suppose -2*n = -14 + 10. Let f(g) be the first derivative of g**n - 2/3*g**3 - 1 - 1/2*g. Factor f(t).
-(2*t - 1)**2/2
Factor 2*k**5 - 3*k**2 + k**2 + 4*k**4 - 2*k**3 - 2*k**4.
2*k**2*(k - 1)*(k + 1)**2
Let j = 69 + -65. Let m(z) be the second derivative of -5/54*z**j + 0 - 1/135*z**6 - 2/45*z**5 - z + 0*z**2 - 2/27*z**3. Factor m(c).
-2*c*(c + 1)**2*(c + 2)/9
Let k(w) = w**3 - w**2 + w + 2. Let g be k(0). Let l be (32/(-12) + 3)*g. Factor 4/3 + 2*m + l*m**2.
2*(m + 1)*(m + 2)/3
Factor -6/7*s**2 + 0 + 0*s - 2/7*s**3.
-2*s**2*(s + 3)/7
Let w be (1*14/(-4))/(-2). What is v in -1/2 + w*v**2 - 5/4*v = 0?
-2/7, 1
Find k such that -2/3*k**2 + 0 + 0*k = 0.
0
Let r = -28 + 32. Let f(o) be the first derivative of -2/7*o - 1/14*o**r + 2/21*o**3 + 1/7*o**2 + 2. What is w in f(w) = 0?
-1, 1
Find x such that -2 + 7*x**2 - 9*x**2 - 8*x - 10*x**3 + 10 - 24*x**2 = 0.
-2, -1, 2/5
Factor 12 - 4*c**2 + 2*c**3 + 165*c + 20*c**2 - 139*c.
2*(c + 1)**2*(c + 6)
Let t be (1*4)/((-5)/(-10)). Let w be 1*t/2 + -3. Factor -w + 5*a - 4*a + 1 - a**2.
-a*(a - 1)
Let p(r) = r**3 - 8*r**2 - 10*r + 13. Let c be p(9). Factor 0*x**2 - 2*x**c - 3*x**2 + 5*x**2.
-2*x**2*(x - 1)*(x + 1)
Let x = 3 - 3. Suppose 3*d = 5*d - 6. Factor 0*l**2 + 0 + 1/3*l**4 + 0*l + x*l**d.
l**4/3
Suppose -6 - 6 = -z. Suppose -10 = 5*k + 4*v, 33 = 3*k - 3*v + z. Factor -14*g + 2*g**2 - 3*g**k - 5*g**2 - 4.
-2*(g + 2)*(3*g + 1)
Let a = -2157 + 8441/4. Let t = 47 + a. Find h such that 0 + 1/2*h + t*h**2 = 0.
-2, 0
Let t(o) = -o + 1. Let i(x) = 2*x**5 + 12*x**4 + 6*x - 6. Let q(p) = -i(p) - 6*t(p). Solve q(w) = 0.
-6, 0
Suppose 6*b - 2*b = 0. Let t be 40/10 - (b + -1). Suppose 12/7*z - 4/7*z**3 - 16/7*z**2 - 2/7 - 8/7*z**t + 18/7*z**4 = 0. Calculate z.
-1, 1/4, 1
Solve -34*m**2 - 72*m**4 - 8*m - 2*m**2 + 16*m**5 + 12*m + 97*m**3 = 0.
0, 1/4, 2
Let 0*o - 1/