)*(g + 1)/7
Let d(c) be the second derivative of c**7/21 - c**6/15 - c**5/5 + 12*c. Let d(j) = 0. What is j?
-1, 0, 2
Suppose 3*j + 3*n = 15, -4*j + 4*n + n + 2 = 0. Let p**3 - 2*p**4 + 3*p**4 + 0*p**4 + 0*p**j = 0. Calculate p.
-1, 0
Let m(x) be the third derivative of 1/5*x**3 + 1/300*x**6 + 6*x**2 - 1/12*x**4 + 1/150*x**5 + 0*x + 0. Factor m(d).
2*(d - 1)**2*(d + 3)/5
Let l(o) be the first derivative of -1 + 0*o - 2/3*o**2 - 1/6*o**4 - 2/3*o**3. Factor l(z).
-2*z*(z + 1)*(z + 2)/3
Let d(b) be the first derivative of 1/2*b**2 + 1/36*b**6 + 0*b**4 + 0*b**3 + 0*b + 1/45*b**5 - 2. Let v(z) be the second derivative of d(z). Factor v(a).
2*a**2*(5*a + 2)/3
Let u(p) = p**2 - 17*p - 38. Let v be u(19). Let x(l) be the third derivative of v*l**4 + 0*l + 0 + 3*l**2 + 0*l**3 + 1/90*l**5. Factor x(i).
2*i**2/3
Suppose -i = 2*i - 6. Find t, given that 4*t + 4*t**i - 57 + 57 = 0.
-1, 0
Suppose -2/7*x**3 + 0*x - 4/7*x**2 + 2/7*x**4 + 0 = 0. What is x?
-1, 0, 2
Determine i so that -60*i**2 - 240*i + 0*i**3 - 19 - 5*i**3 - 288 - 13 = 0.
-4
Let -8/13*p**4 + 20/13*p**2 + 8/13*p - 16/13 - 2/13*p**5 - 2/13*p**3 = 0. Calculate p.
-2, 1
Let s(z) = z**3 + 1. Let a(y) = -5*y**3 - 3*y**2 - 3*y - 5. Let p(i) = -a(i) - 4*s(i). Factor p(b).
(b + 1)**3
Find j such that 4/7*j + 6/7*j**3 + 2*j**2 - 10/7*j**5 - 2*j**4 + 0 = 0.
-1, -2/5, 0, 1
Let k(n) = n**2 + 3*n - 6. Let j be k(-5). Solve -3*t + j*t**2 + 7 - 5*t**2 - 7 = 0 for t.
-3, 0
Let o(x) be the third derivative of x**7/1680 - x**5/80 + x**4/24 - 8*x**2. Let a(y) be the second derivative of o(y). Determine u, given that a(u) = 0.
-1, 1
Let n be (-2)/(-7) - (-4)/35. Let d be 3/(((-60)/16)/(-1)). Let 0 - 2/5*u**3 + n*u**4 + 0*u - d*u**2 = 0. What is u?
-1, 0, 2
Suppose 3*g - c - 5 = 2, 0 = 2*g - c - 5. Factor -10*w**3 + 9*w**3 + 3*w**2 - w**4 - 2*w**g + w**5.
w**2*(w - 1)**2*(w + 1)
Let y = -18/13 + 116/65. Let c(h) be the first derivative of y*h**2 + 2/15*h**3 - 2/25*h**5 - 1/5*h**4 + 0*h - 1. Factor c(k).
-2*k*(k - 1)*(k + 1)*(k + 2)/5
Let o(g) = g - 8. Let b be o(8). Suppose -5*s - 5 - 1 = -3*y, y + 2*s - 2 = b. Let 2/3*k - 2/3*k**y + 0 = 0. What is k?
0, 1
Let f = 10 - 2. Suppose 0 = j + j - f. Factor z**j + 4*z + 4*z + 0*z**2 + 4*z**3 + 6*z**2 - 4*z + 1.
(z + 1)**4
Let s(r) be the first derivative of 3*r**2 + 3 - 10*r + 4/3*r**3. Let z(n) = 3*n**2 + 4*n - 7. Let h(x) = -5*s(x) + 7*z(x). Factor h(v).
(v - 1)**2
Let x(v) be the third derivative of v**7/1050 + v**6/600 - 7*v**2. Factor x(y).
y**3*(y + 1)/5
Solve 4 + 0 - 5*s**2 - 12*s + 10*s + s**2 + 2*s**3 = 0 for s.
-1, 1, 2
Let t(j) be the first derivative of 2*j**5/35 - j**4/7 - 2*j**3/7 + 4*j**2/7 - 11*j + 11. Let r(o) be the first derivative of t(o). What is g in r(g) = 0?
-1, 1/2, 2
Let m(r) be the second derivative of r**7/21 - r**6/5 + 3*r**5/10 - r**4/6 - 2*r. Suppose m(o) = 0. Calculate o.
0, 1
Suppose -a + 7 = -1. Suppose -5*o = b + 2, -2*o - a = -b + 3*o. Determine h, given that 2*h**b + 3*h**4 + h**5 - 3*h**3 + 4*h**3 + h**2 = 0.
-1, 0
Let l(q) be the third derivative of q**5/240 - 5*q**4/96 + q**3/4 + 7*q**2. What is h in l(h) = 0?
2, 3
Let t be 2/(-7) + 37/7. Let w(a) = 8*a**2 - 4*a + 6. Let l(m) = 5 + 2*m - 2*m + 0*m + 7*m**2 - 3*m. Let n(k) = t*w(k) - 6*l(k). Factor n(d).
-2*d*(d + 1)
Let c be (-2)/(-3) + (-20)/(-6). Find v such that c*v**4 - v**3 - v**4 - 3*v**2 + v + 2 - 2 = 0.
-1, 0, 1/3, 1
Let j be 2/(-14) - 44/(-14). Factor -y**4 - y**3 - 11*y**4 + 2*y**3 - 3*y + 12*y**2 + 2*y**j.
-3*y*(y - 1)*(y + 1)*(4*y - 1)
Suppose -p + 3 = -0*p. Let w be (-66)/(-18) - (-2)/6. Factor -p*i**4 - 3*i**4 + 4*i**4 + 3*i**3 + 5*i**w + i**2 + i**5.
i**2*(i + 1)**3
Let y(l) = l - 13. Let s be y(13). What is t in s + 1/2*t**4 - t**3 + 0*t**2 + 0*t = 0?
0, 2
Let z(d) = -d**4 + 4*d**3 - 3*d**2 - 3*d. Let g(i) = 2*i**4 - 5*i**3 + 4*i**2 + 4*i. Let w(u) = -3*g(u) - 4*z(u). Find s such that w(s) = 0.
-1/2, 0
Let t(i) = -i**3 + i**2 - i + 1. Let n be 16/(-14) - (-10)/70. Let d(f) be the second derivative of -f**3/3 + f**2 + f. Let y(x) = n*d(x) + t(x). Factor y(z).
-(z - 1)**2*(z + 1)
Let f(z) be the second derivative of -z**8/33600 + z**7/6300 - z**6/3600 + z**4/4 - z. Let g(t) be the third derivative of f(t). Solve g(q) = 0 for q.
0, 1
Let x = 65/24 + -11/8. Let t(u) be the first derivative of 1/6*u**4 + 8/9*u**3 - 1 + x*u**2 + 0*u. Factor t(w).
2*w*(w + 2)**2/3
Suppose 0*h**2 + 0*h + 1/3*h**3 + 0 = 0. Calculate h.
0
Let l(g) be the third derivative of 0 + 1/75*g**6 + 0*g + 1/30*g**4 - 1/525*g**7 + 0*g**3 - 1/30*g**5 + 3*g**2. Suppose l(y) = 0. Calculate y.
0, 1, 2
Let a = -4 - -7. Factor 1 - 2*p**a + 0*p - 3*p + 5*p + 0 - p**4.
-(p - 1)*(p + 1)**3
Let a be (-65)/234 + (-1)/(-2). Factor 0 - 2/9*y**2 + 2/9*y**4 + 0*y - a*y**3 + 2/9*y**5.
2*y**2*(y - 1)*(y + 1)**2/9
Let f(r) be the first derivative of r**4/18 + 16*r**3/27 - 19*r**2/9 + 20*r/9 - 21. Solve f(s) = 0.
-10, 1
Let r(b) be the third derivative of -1/60*b**5 - b**2 + 0*b + 0 + 1/120*b**6 - 1/24*b**4 + 1/6*b**3. Determine d so that r(d) = 0.
-1, 1
Let d(m) be the first derivative of m**5/30 - m**4/3 + 4*m**3/3 + 3*m**2/2 + 1. Let x(l) be the second derivative of d(l). Suppose x(y) = 0. What is y?
2
Let k(u) be the second derivative of -u**4/66 + u**3/11 + 3*u. Suppose k(d) = 0. Calculate d.
0, 3
Let j(u) be the third derivative of 1/12*u**4 + 3*u**2 + 0 + 0*u + 1/3*u**3 - 1/15*u**5. Solve j(t) = 0.
-1/2, 1
Let a(d) be the third derivative of 3*d**8/112 + 3*d**7/70 - d**6/20 - d**5/18 + 7*d**4/72 - d**3/18 + 6*d**2. Factor a(x).
(x + 1)**2*(3*x - 1)**3/3
Let v be (-2)/9 + (-200)/(-225). Find b such that -b - v - 1/3*b**2 = 0.
-2, -1
Let u(t) be the third derivative of t**8/560 + 2*t**7/175 + t**6/50 - t**5/50 - t**4/8 - t**3/5 - 8*t**2. Factor u(g).
3*(g - 1)*(g + 1)**3*(g + 2)/5
Factor -3/8*c - 3/8*c**5 - 3/8*c**4 - 3/8 + 3/4*c**3 + 3/4*c**2.
-3*(c - 1)**2*(c + 1)**3/8
Let g(r) be the second derivative of -9*r**5/20 + r**4/4 + 3*r**3/2 - 3*r**2/2 - 7*r. Find l such that g(l) = 0.
-1, 1/3, 1
Let g = 3 + -1. Let y(h) = 2*h - 8*h**2 + 32*h - 6 - 8*h**2. Let u(a) = 17*a**2 - 35*a + 5. Let n(m) = g*u(m) + 3*y(m). Factor n(b).
-2*(b - 2)*(7*b - 2)
Let v(p) = -2*p**4 - 3*p**3 + 2*p**2 + 8*p. Let x(l) = -l**3. Let t(q) = v(q) + 5*x(q). Factor t(h).
-2*h*(h - 1)*(h + 1)*(h + 4)
Let x = 32 - 29. Let a(j) be the first derivative of 0*j**2 - 4 + 0*j**x + 0*j + 1/10*j**4. Find w, given that a(w) = 0.
0
Suppose -4*z = 3 - 23. Suppose -11*u - z*u**2 + 10*u**2 - 3*u**3 - u + 7*u**2 = 0. What is u?
0, 2
Let p(s) = -s**5 + s**3 - s**2 - s. Let l(z) = z**5 - 6*z**4 - 7*z**3 + 4*z**2 + 4*z. Let g(f) = -l(f) - 4*p(f). Factor g(x).
3*x**3*(x + 1)**2
Let p(f) be the second derivative of -f**7/10080 + f**6/2880 - f**4/3 - 2*f. Let w(u) be the third derivative of p(u). Let w(x) = 0. Calculate x.
0, 1
Determine k, given that -24*k - 2*k**2 + 8 + 28 + 6*k**2 = 0.
3
Suppose 4*j = 10*j. Let z(l) be the second derivative of 1/18*l**4 + j - 1/9*l**3 - 2*l + 0*l**2. Factor z(v).
2*v*(v - 1)/3
Let j = 0 - -2. Let s(f) be the first derivative of 0*f**2 + 0*f - j + 2/3*f**3. Factor s(z).
2*z**2
Let -17 + 4*g**3 + 96*g - 19 + 13 - 36*g**2 - 41 = 0. What is g?
1, 4
Let k(f) = f - 1. Let i(w) = 3*w**4 - 12*w**3 + 9*w**2 + 17*w - 17. Let c(j) = -i(j) + 5*k(j). Determine g so that c(g) = 0.
-1, 1, 2
Let v(j) = -7*j**3 + 3*j**2 - 2*j. Let y = -6 + -20. Let i = 16 + y. Let l(f) = -22*f**3 + 8*f**2 - 6*f. Let b(m) = i*v(m) + 3*l(m). Solve b(x) = 0.
0, 1/2, 1
Let q = 13 - 8. Suppose 3*c - q*v - 62 = -0*c, 0 = 2*v - 4. Find l such that c*l**2 - 24*l - 4*l**3 + 12 - 9*l**2 + l**3 = 0.
1, 2
Let u = -3/79 - -85/158. Factor -1/2*o - 1 + u*o**2.
(o - 2)*(o + 1)/2
Let a(v) be the first derivative of -4/3*v**3 - 5/2*v**2 - 1/4*v**4 - 3 - 2*v. Suppose a(l) = 0. What is l?
-2, -1
Let o(p) be the third derivative of 8*p**7/175 + p**6/25 + p**5/100 + 3*p**2. Suppose o(m) = 0. What is m?
-1/4, 0
Let b(f) be the second derivative of f**6/150 - f**5/50 - f**4/60 + f**3/15 - 23*f. Factor b(x).
x*(x - 2)*(x - 1)*(x + 1)/5
Let m(o) = o**3 + 9*o**2 + 7*o + 6. Let k be m(-6). Suppose k*n + 8*n**4 + 78*n**3 - 16 - 26*n**4 + 10*n**2 - 126*n**2 = 0. What is n?
2/3, 1, 2
Suppose -3*n = -a + 15, -2*n - 12 = n. Let l be a/4 + 17/(-68). Factor 1/6*q**2 + 1/3 + l*q.
(q + 1)*(q + 