= -19 + 22. Let f be (-6*k/24)/(-3). Let 25/4*x**2 - 5/2*x + f = 0. Calculate x.
1/5
Let l be (3 + -1)/(8/6). Solve 0*m**3 + 0*m + 0 + l*m**4 - 3/2*m**2 = 0 for m.
-1, 0, 1
Let x(w) be the third derivative of w**10/529200 + w**5/12 - 4*w**2. Let r(g) be the third derivative of x(g). Factor r(i).
2*i**4/7
Let n(r) be the first derivative of 0*r**2 + 0*r + 2/3*r**3 - 5. Factor n(f).
2*f**2
Let u(a) be the first derivative of a**4/42 - 2*a**3/21 + a**2/7 - 2*a + 3. Let d(n) be the first derivative of u(n). Factor d(t).
2*(t - 1)**2/7
Let q(d) be the first derivative of -d**5/30 - d**4/24 + d**3/18 + d**2/12 + 14. Solve q(y) = 0.
-1, 0, 1
Let k be 6/((-2)/2) - (55 + -61). Factor -1/2*h**2 + 0*h + 1/4*h**4 + 1/4 + k*h**3.
(h - 1)**2*(h + 1)**2/4
Let f(i) be the second derivative of -5*i**7/42 + 2*i**6/3 - i**5/4 - 25*i**4/6 + 10*i**3/3 + 20*i**2 - 2*i. Factor f(w).
-5*(w - 2)**3*(w + 1)**2
Let g(l) = -l**3 + 7*l**2 - 10*l + 26. Let x be g(6). Determine b, given that 0*b**x - b**4 + 0*b + 0 - 1/3*b**3 = 0.
-1/3, 0
Let v(i) be the third derivative of -2*i**2 + 0*i + 0*i**3 - 1/945*i**7 + 0*i**4 - 1/135*i**5 + 0 + 1/180*i**6. Find y such that v(y) = 0.
0, 1, 2
Let k(z) be the third derivative of -z**7/140 - z**6/16 - 3*z**5/20 - 26*z**2 - z. Suppose k(d) = 0. What is d?
-3, -2, 0
Determine m so that -8/3*m + 4/3*m**2 - 4/3*m**4 + 8/3*m**3 + 0 = 0.
-1, 0, 1, 2
Let j(q) = -4*q**3 - 2*q**2 + 1. Let y be j(-1). Let b(m) be the second derivative of 2/21*m**y + m + 0 + 1/7*m**2 + 1/42*m**4. What is a in b(a) = 0?
-1
Let v(w) be the third derivative of 1/60*w**4 + 0*w**3 - 1/150*w**6 + 0*w**7 + 1/840*w**8 + 0 + 0*w**5 + 0*w - 3*w**2. Factor v(u).
2*u*(u - 1)**2*(u + 1)**2/5
Let s(v) be the third derivative of -1/12*v**4 - 1/30*v**5 + 0*v**3 + 0*v + 1/60*v**6 + 1/105*v**7 - 2*v**2 + 0. Solve s(p) = 0 for p.
-1, 0, 1
Suppose 0*c**2 + 36/17*c**3 - 54/17*c + 0 + 16/17*c**4 + 2/17*c**5 = 0. Calculate c.
-3, 0, 1
Let s(f) be the first derivative of f**3/3 + f**2/5 - 3*f/5 - 3. Factor s(t).
(t + 1)*(5*t - 3)/5
Suppose -3*w - w - 72 = -4*v, 61 = 3*v + 4*w. Suppose -v*m + 20*m = 0. Factor m*a - 4/9*a**2 + 2/9 + 0*a**3 + 2/9*a**4.
2*(a - 1)**2*(a + 1)**2/9
Let a(w) be the third derivative of w**5/180 - 11*w**4/72 + 5*w**3/9 + 45*w**2. Factor a(n).
(n - 10)*(n - 1)/3
Let s(j) = j**3 + 4*j**2 + 2*j - 1. Let z be s(-3). Factor 2*v + 2*v + 28*v**z + 4 - 64*v**4 + 32*v**3 - 4.
-4*v*(v - 1)*(4*v + 1)**2
Let j be (-448)/(-147) - (1 - -2). Let x(d) be the second derivative of -1/14*d**4 + 2/7*d**2 + 0 + j*d**3 + d. Factor x(r).
-2*(r - 1)*(3*r + 2)/7
Let h(t) = 21*t**3 + 92*t**2 + 121*t + 61. Let p(b) = 11*b**3 + 47*b**2 + 61*b + 31. Let k(i) = 6*h(i) - 11*p(i). Let k(w) = 0. What is w?
-5, -1
Let h(v) = v**3 + v. Let l(m) = -2*m**4 + 6*m**3 + 4*m. Let d(o) = o - 9. Let y be d(5). Let k(g) = y*h(g) + l(g). Solve k(i) = 0.
0, 1
Let u(n) be the third derivative of 4*n**7/1575 + n**6/900 - 2*n**5/225 - n**4/180 + 6*n**2 + 6*n. Let u(b) = 0. What is b?
-1, -1/4, 0, 1
Let b be (-19)/(950/20) + (-38)/(-45). Determine o, given that 2/9*o**2 + b - 2/3*o = 0.
1, 2
Let l(o) be the second derivative of o**4/30 + 14*o**3/15 - 3*o**2 + 43*o. Let l(b) = 0. What is b?
-15, 1
What is h in -2 + 1/3*h + 1/3*h**2 = 0?
-3, 2
Let r(q) be the second derivative of -7/12*q**3 + 2*q - 1/20*q**5 - 1/2*q**2 + 0 - 7/24*q**4. Let r(u) = 0. What is u?
-2, -1, -1/2
Let x(n) be the second derivative of n**8/840 - n**6/300 - 5*n**2/2 - 7*n. Let w(z) be the first derivative of x(z). Let w(f) = 0. Calculate f.
-1, 0, 1
Let -2315 - 4*k**3 + 2315 - 2*k**4 = 0. What is k?
-2, 0
Let d(q) be the second derivative of 3*q - 1/120*q**6 + 0 - 1/8*q**2 + 1/24*q**4 + 0*q**3 + 0*q**5. Let d(z) = 0. What is z?
-1, 1
Let q = 7/4 - 13/12. What is r in -q + 9/2*r**2 - 2*r + 25/2*r**4 + 55/3*r**3 = 0?
-1, -2/5, 1/3
Let r be 2*3*4/300. Let a(n) be the first derivative of 0*n**2 - 1 - 1/5*n**4 + r*n**5 + 0*n + 1/5*n**6 + 0*n**3. Suppose a(g) = 0. Calculate g.
-1, 0, 2/3
Suppose t + 2*z - 6 = z, -2*z = -8. Suppose 2*i**2 - i**2 + 3*i + 2*i**t = 0. What is i?
-1, 0
Suppose 15 + 9 = j + 4*q, 3*j - 32 = -4*q. Factor 8*v**j - 2*v - 6*v**2 + 5*v**3 + 4*v - 5*v**3.
2*v*(v + 1)*(2*v - 1)**2
Let x(b) be the second derivative of 0*b**3 + 0*b**2 + 0 - 4*b - 1/20*b**5 + 0*b**4 + 1/60*b**6. What is i in x(i) = 0?
0, 2
Let d be ((-4)/2)/(2/(-3)). Suppose -5*a + 2 - 22 = 0, 0 = -2*n - d*a - 4. Solve 3*z**2 - z**4 - z**2 - z**n = 0.
-1, 0, 1
Let m(g) be the first derivative of g**6/36 + g**5/6 + 3*g**4/8 + 7*g**3/18 + g**2/6 + 6. Find a, given that m(a) = 0.
-2, -1, 0
Let r(t) be the second derivative of -t**6/135 - t**5/18 - t**4/9 + 4*t**3/27 + 8*t**2/9 + 12*t. Factor r(u).
-2*(u - 1)*(u + 2)**3/9
Suppose -4*n + 3*n - 4*f + 17 = 0, 0 = n + 5*f - 22. Let g be n + 2 + 45/27. Factor 0*u + g*u**5 + 0*u**2 + 4/9*u**3 + 0 + 10/9*u**4.
2*u**3*(u + 1)*(3*u + 2)/9
Let d(b) = -b**3 - 4*b**2 - b - 2. Let w be d(-4). Let f be w/(-7) - (-64)/56. Factor -4/7 + f*c - 2/7*c**2.
-2*(c - 2)*(c - 1)/7
Let s = 6 - 9. Let w be 24/9 + 2/s. Factor -2*n + w - 4 + 1 - n**2.
-(n + 1)**2
Let v(m) be the second derivative of m**7/84 - m**6/30 + m**5/40 - 3*m. Solve v(x) = 0 for x.
0, 1
Solve -4*z**2 - 2 - 4*z**4 - 8*z**3 + 0*z**2 + 2 = 0 for z.
-1, 0
Let c be (4 + -1)*(-4)/(-16). Let 1/2 - c*f**2 + 1/4*f = 0. Calculate f.
-2/3, 1
Suppose 16 = -u + l + 2*l, -3*u - 64 = -l. Let n = -20 - u. Factor 2/3 - 5/3*v + v**n.
(v - 1)*(3*v - 2)/3
Factor 3/8*w**2 - 9/8*w - 3/2.
3*(w - 4)*(w + 1)/8
Suppose u + 10 - 1 = 0. Let t = -5 - u. Solve 2/5*l**5 - 2/5*l**3 + 2/5*l**2 + 0*l - 2/5*l**t + 0 = 0.
-1, 0, 1
Let j(n) be the first derivative of 32*n**6/3 - 49*n**4 - 128*n**3/3 + 6*n**2 + 8*n + 8. Suppose j(m) = 0. Calculate m.
-1, -1/4, 1/4, 2
Let b(u) be the second derivative of 0 + 8*u**2 + 5/3*u**4 + 16/3*u**3 + 10*u + 1/5*u**5. Factor b(k).
4*(k + 1)*(k + 2)**2
Let f(c) = -c**3 + c**2 - 1. Let u(o) = -2*o**3 - 4*o**2 + 4*o + 4. Let x(m) = 2*f(m) + u(m). Factor x(p).
-2*(p - 1)*(p + 1)*(2*p + 1)
Let c = -5 - -11. Find q, given that 6*q**2 + 13*q - c + 3*q**3 - 16*q + 3*q**2 - 3*q**4 = 0.
-1, 1, 2
Let f(c) = -2*c**2 - 4*c - 10. Let p(h) = h**2 + 1. Let j(v) = -f(v) - 4*p(v). Suppose j(m) = 0. Calculate m.
-1, 3
Let s(o) be the first derivative of -3/4*o**6 - 2*o**4 + 0*o**2 + 3 + 0*o - 2/3*o**3 - 21/10*o**5. Factor s(j).
-j**2*(j + 1)*(3*j + 2)**2/2
Let j(f) be the third derivative of f**5/80 - 3*f**4/16 + 9*f**3/8 + 9*f**2. Suppose j(o) = 0. What is o?
3
Let z(a) = a**3 + 4*a**2 - 6*a - 4. Let f be z(-5). Let i be 1/f - 11/(-7). Factor 8/7 - i*g**3 - 6/7*g**2 + 16/7*g.
-2*(g - 1)*(3*g + 2)**2/7
Let y(t) be the second derivative of -t + 0 + 4*t**3 + 1/2*t**6 + 3/2*t**2 + 9/2*t**4 + 12/5*t**5. Solve y(b) = 0.
-1, -1/5
Let d(h) = -12*h - 4. Let y be d(-2). Let w be 1/y*-6*-4. Factor 0*f + w*f**2 - 8/5 + 2/5*f**3.
2*(f - 1)*(f + 2)**2/5
Factor -o + 0*o**4 + 2*o**4 + o**2 + o**3 - 3*o**4.
-o*(o - 1)**2*(o + 1)
Let i(b) = -15*b**2 + 11*b + 4. Let r(m) = 8*m**2 - 6*m - 2. Let g = -1 - 5. Let f(u) = g*i(u) - 11*r(u). Factor f(w).
2*(w - 1)*(w + 1)
Suppose 0 = -4*a + 34*a - 60. Factor -2/3*c + 2/3*c**a + 0.
2*c*(c - 1)/3
Suppose 3*l = 7*l - 12. Suppose l*p - 3 = 2*o, 4*o = -2*p - p + 21. Let 3*c**4 + 7*c + c**4 + 3*c**o + 1 + 10*c**3 + 15*c**2 = 0. What is c?
-1, -1/4
Suppose 4*i - 3*i = 0. Suppose 10*u - 13*u + 6 = i. Factor -10/9*z + 4/9 + 8/9*z**u - 2/9*z**3.
-2*(z - 2)*(z - 1)**2/9
Factor -42*n**2 - 22*n - 14*n**3 + 10*n**2 - 2 - 2.
-2*(n + 1)**2*(7*n + 2)
Let w(r) = -49*r**3 - 23*r**2 - 4*r - 5. Let b(u) = 49*u**3 + 22*u**2 + 4*u + 6. Let z(k) = -5*b(k) - 6*w(k). Find g, given that z(g) = 0.
-2/7, 0
Let u(l) be the third derivative of l**5/90 + l**4/18 - l**3/3 + 35*l**2. Factor u(z).
2*(z - 1)*(z + 3)/3
Let z(v) be the third derivative of -1/20*v**5 + 1/140*v**7 + 0 + 9/4*v**3 + 1/20*v**6 + 0*v + 3*v**2 - 3/4*v**4. Suppose z(c) = 0. What is c?
-3, 1
Factor -102*r**4 + 14*r**2 - 8*r**2 - 4*r**3 + 90*r**4 + 6*r**2 + 4*r.
-4*r*(r - 1)*(r + 1)*(3*r + 1)
Suppose 4*v - 140 = y, 3*y = v - 0*y - 24. Let f be 116/v - (-2)/(-9). What is w in 2*w - 4*w - w**3 - f*w**3 + 6*w**3 = 0?
-1, 0, 1
Let o(i) be the third derivative of -i**6/180 + i**5/30 + i**4/9 + 11*i**2. Let o(n) = 0. What is n?
