76*c - 728 + 423*c**2.
-3*(23*c + 2)**2
Let m(t) be the third derivative of 1/80*t**5 + 0 + t**2 - 1/480*t**6 + 0*t - 1/32*t**4 + 1/2*t**3. Let j(a) be the first derivative of m(a). Factor j(n).
-3*(n - 1)**2/4
Let z = -1041/4 + 7407/28. Find q such that -4/7*q**3 - 8/7*q - z*q**2 + 10/7*q**4 + 8/7 = 0.
-1, 2/5, 2
Suppose 0 = -i + a - 1, 0 = -4*i - 7*a + 6*a + 1. Factor i + 0*n**2 + 2/9*n**4 - 2/9*n**3 + 0*n.
2*n**3*(n - 1)/9
Let x = 1321/6555 - 2/1311. Solve 2/5*o**3 + 1/5*o**4 + 0*o + 0 + x*o**2 = 0 for o.
-1, 0
Let u(n) be the second derivative of n**6/1080 - n**4/72 - n**3/3 - n. Let h(w) be the second derivative of u(w). Factor h(s).
(s - 1)*(s + 1)/3
Let j = -192/5 + 581/15. Factor 0 + 1/3*m**2 - j*m.
m*(m - 1)/3
Let v(g) = -2*g**4 + 6*g**3 + 3*g**2 - g + 4. Let w(n) = -n**4 + 3*n**3 + n**2 - n + 2. Let f(q) = 2*v(q) - 5*w(q). Solve f(b) = 0 for b.
-1, 1, 2
Let i be (-6)/(-2) + -1 + -2. Suppose 4*g - 5*u = 0, -2*g + 4*u = -i*g. Factor -1/4*h**3 + 0*h - 1/4*h**2 + g.
-h**2*(h + 1)/4
Suppose 4*j - 3*u - 5 = 0, 0*j + 3*u = j + 10. Suppose 5*t = 10 - j. Factor -m + t + 1/4*m**2.
(m - 2)**2/4
Suppose 4*l - l = -45. Let a be 20/l*(-9)/42. Determine u so that 2/7*u + 0 + a*u**2 = 0.
-1, 0
Let a be 3/54*-3*-4. Solve 1/3*h**4 - 1/3*h**5 - a*h**2 - 1/3*h + 2/3*h**3 + 1/3 = 0 for h.
-1, 1
What is w in 2/5*w - 4/3 + 2/15*w**2 = 0?
-5, 2
Let m(j) be the first derivative of 2*j**6/3 + 4*j**5/5 - j**4 - 4*j**3/3 + 9. Let m(q) = 0. What is q?
-1, 0, 1
Let d be (3/(-2))/(66/1672). Let i = d - -41. Find k, given that 0*k - 1/4*k**i + 1/2*k**2 + 0 = 0.
0, 2
Let s(d) be the third derivative of d**7/840 - d**6/120 + d**5/40 + d**4/6 - 5*d**2. Let y(x) be the second derivative of s(x). Let y(m) = 0. Calculate m.
1
Let i = 207 + -411/2. What is f in 0 + 1/2*f**2 - i*f = 0?
0, 3
Let w(c) be the second derivative of -3*c + 4/9*c**3 + 4/3*c**2 - 35/18*c**4 + 4/63*c**7 + 0 - 23/45*c**6 + 23/15*c**5. Let w(d) = 0. Calculate d.
-1/4, 1, 2
Let f(p) = -2*p**2 - 2. Let i(n) = -n**2. Let u(s) = -f(s) + 4*i(s). Determine o, given that u(o) = 0.
-1, 1
What is u in -2*u**4 - 8*u + 3*u**4 + 3*u**4 + 6*u**3 - 6*u**4 = 0?
-1, 0, 2
Let j(b) = -b**2 + 17*b + 20. Let d be j(18). Let k be 3/(-6) + 11/2. Determine h so that 0*h**3 - 3*h**k + d*h**5 + h**3 = 0.
-1, 0, 1
Let j(b) be the first derivative of b**4/42 + 2*b**3/21 + b**2/7 - 2*b + 4. Let q(c) be the first derivative of j(c). Factor q(v).
2*(v + 1)**2/7
Let a be 30/6 - 5 - 0. Let v(h) be the third derivative of 1/630*h**7 + a + 0*h**6 + 0*h**4 + 0*h + h**2 + 0*h**5 - 1/1008*h**8 + 0*h**3. Factor v(m).
-m**4*(m - 1)/3
Let g(l) be the second derivative of 1/8*l**4 + 3/4*l**2 - 2*l - 1/2*l**3 + 0. Factor g(f).
3*(f - 1)**2/2
Let n be (10/(-15))/(44/(-3)). Let a = 25/66 - n. Suppose -1/3*r + 2/3 - a*r**2 = 0. What is r?
-2, 1
Let o be (-4)/(-2 + 6)*-6. Suppose 6 = 6*g - o. Factor -w + 3/4*w**3 + 0 + w**4 + 1/4*w**5 - w**g.
w*(w - 1)*(w + 1)*(w + 2)**2/4
Let i(z) = -2*z**5 + 8*z**4 - 14*z**3 - 8*z**2 + z - 5. Let p(s) = -s**5 + s**4 - s**3 - s**2 - s - 1. Let m(q) = i(q) - 5*p(q). Factor m(w).
3*w*(w - 1)**2*(w + 1)*(w + 2)
Let q = -12 - -7. Let y(k) = k**3 - 1. Let f(d) = d**4 + 3*d**3 - 2*d**4 - d**4 - 5. Let a(i) = q*y(i) + f(i). Solve a(x) = 0 for x.
-1, 0
Let p be 26/10 - (-24)/(-40). Factor -1 - 1 + 69*o**p - 67*o**2.
2*(o - 1)*(o + 1)
Suppose 13 = 3*s + 7. Let h(a) be the first derivative of -2/5*a**5 + 1/2*a**4 - a**2 + 2/3*a**3 + 0*a + s. Factor h(r).
-2*r*(r - 1)**2*(r + 1)
Let o be (-47)/(-30) - (-17)/(-34). Let g(c) be the first derivative of 1 + 10/3*c**4 + 11/3*c**3 + o*c**5 + 5/3*c**2 + 1/3*c. Factor g(y).
(y + 1)**2*(4*y + 1)**2/3
Suppose -5*b + 0 = 5*j - 5, -5*j + 7 = 3*b. Let m be 0 - j*(-5)/6. Suppose 0*g - 4/3 + m*g**3 + 5*g**2 - 5*g**4 - 3*g**5 = 0. Calculate g.
-1, 2/3
Let w = 11/69 - 1051/5727. Let f = 89/249 + w. Factor -2/3*d + f*d**2 + 0.
d*(d - 2)/3
Let v(x) be the first derivative of x**4 - 4*x**3/3 + 6. Suppose v(y) = 0. Calculate y.
0, 1
Let u be 51/7 + 6/(-21). Solve 3 + 6 - 4*s**2 + u*s**2 - 18*s + 18 = 0.
3
Let r(o) be the first derivative of o**4/32 + 5*o**3/24 - o**2/16 - 5*o/8 + 17. Factor r(c).
(c - 1)*(c + 1)*(c + 5)/8
Let r(w) be the second derivative of -w**5/110 + w**4/66 + 5*w**3/33 + 3*w**2/11 - 6*w. Solve r(d) = 0 for d.
-1, 3
Solve 0 + 16/7*t + 8/7*t**2 - 12/7*t**3 - 2/7*t**5 - 10/7*t**4 = 0 for t.
-2, 0, 1
Let v = 50/11 + -489/110. Let d(z) be the second derivative of 0 + 0*z**2 - z - 1/15*z**4 + 0*z**3 + v*z**5. Factor d(j).
2*j**2*(5*j - 2)/5
Let k be 8/44 - ((-80)/44 + -2). Factor -1/3*r + 0 - r**2 + r**k + 1/3*r**3.
r*(r - 1)*(r + 1)*(3*r + 1)/3
Suppose -d - r = -6*d - 13, -5*r + 7 = 4*d. Let g = d + 3. Let 3*w + w**2 - 2*w**2 - g - w**2 = 0. Calculate w.
1/2, 1
Let s(z) be the first derivative of -5*z**6/18 + z**5 - 5*z**4/6 - 5. Factor s(u).
-5*u**3*(u - 2)*(u - 1)/3
Let s(q) be the third derivative of -1/6*q**3 + 2*q**2 + 5/24*q**4 - 1/15*q**5 + 0 + 0*q. Factor s(p).
-(p - 1)*(4*p - 1)
Let t be (1 + -90)*2/(-4). Let j = 46 - t. Solve -j*i - 1/2*i**3 - 3/2*i**2 - 1/2 = 0 for i.
-1
Suppose -3*u - 1 = -10. Let g be (-64)/14*u/(-12). Solve -6/7*z**2 - 8/7*z**3 + g - 2/7*z**4 + 8/7*z = 0.
-2, -1, 1
Factor -12*k**2 + 53 + 14*k**3 - 64 - 24*k + 27 + 6*k**4.
2*(k - 1)*(k + 2)**2*(3*k - 2)
Let n = -7 - -7. Let m(c) be the second derivative of 0*c**2 - 4*c - 1/18*c**3 + n + 1/9*c**4. What is j in m(j) = 0?
0, 1/4
Let l(t) = -3*t**4 - 4*t**3 - 7*t**2 + 2*t - 4. Let g(w) = -w**4 - w**3 - w - 1. Let z(s) = -4*g(s) + l(s). Find i, given that z(i) = 0.
-3, 0, 1, 2
Factor -6*o - 12*o - 7*o + 3*o**2 + 2 + 18*o.
(o - 2)*(3*o - 1)
Let n(p) be the second derivative of p**8/6720 + p**7/3360 - p**3/3 + 2*p. Let l(g) be the second derivative of n(g). Suppose l(v) = 0. What is v?
-1, 0
Suppose -17*f - 15 = -12*f. Let s(w) = 7*w**3 + 8*w**2 - 3. Let k(o) = -36*o**3 - 40*o**2 + 16. Let d(a) = f*k(a) - 16*s(a). Let d(j) = 0. Calculate j.
-2, 0
Let u(n) be the third derivative of -n**7/1365 - n**6/130 - 2*n**5/65 - 5*n**4/78 - n**3/13 + 2*n**2. Factor u(h).
-2*(h + 1)**3*(h + 3)/13
Let p(x) = -x**5 - 7*x**4 - x**3 - x**2 + 2*x + 4. Let y(l) = -l**5 - 8*l**4 - l**3 - 2*l**2 + 2*l + 5. Let b(n) = -5*p(n) + 4*y(n). Factor b(w).
w*(w - 1)*(w + 1)**2*(w + 2)
Suppose b - 4*p - 18 = 0, -2*b - p = b + 11. Let z = 4 + b. Factor 2*x**z + x**5 + 6*x**3 + 6*x**4 + 0*x**2 + x**5.
2*x**2*(x + 1)**3
Let w = 99 + -293/3. Determine o, given that 2/3 + 2/3*o**4 + w*o**3 - 4/3*o**2 - 2/3*o - 2/3*o**5 = 0.
-1, 1
Let l(j) be the first derivative of 3*j**3/4 + 2*j**2 - j + 8. Factor l(q).
(q + 2)*(9*q - 2)/4
Let b(z) be the first derivative of 0*z**2 - 1/18*z**4 + 1/9*z**3 - 3*z - 2. Let y(w) be the first derivative of b(w). Suppose y(x) = 0. What is x?
0, 1
Let i be -1 + 2 + 1 + (-8 - -6). Let -2/9*t**3 + 0*t**4 + i + 0*t**2 + 0*t + 2/9*t**5 = 0. What is t?
-1, 0, 1
Suppose 2 = f - 0*f. Let h be (1 - 1)/(9/9). What is x in -f*x**5 + 0*x**5 + 2*x**3 + h*x**5 = 0?
-1, 0, 1
Let o be ((-4)/(-12))/((-1)/(-6)). Find q such that -o*q - 1/3*q**2 - 3 = 0.
-3
Let f = 5988 + -10320. Let b be f/(-21) + 4/(-14). Solve 294*k**4 - 120*k**3 - 137*k**5 - b*k**5 + 36*k**3 + 8*k**2 = 0 for k.
0, 2/7
Let h(z) be the first derivative of 1 + z + 3/2*z**2 + 1/4*z**4 + z**3. Factor h(w).
(w + 1)**3
Let y(f) be the first derivative of -f**3/5 + 9*f**2/5 - 13. Let y(c) = 0. Calculate c.
0, 6
Suppose a - 5*i = 3*a + 14, -2*a + 22 = -4*i. Let x(p) be the second derivative of 0*p**4 + 0 + 1/6*p**a + 3*p + 0*p**2 - 1/20*p**5. Factor x(z).
-z*(z - 1)*(z + 1)
Suppose -3*d + 0*h = 5*h - 11, -3 = -3*h. Suppose -4/5 - q - 1/5*q**d = 0. What is q?
-4, -1
Let u = 40 + -37. Factor -6/7 + 2/7*c**u - 2/7*c**2 - 10/7*c.
2*(c - 3)*(c + 1)**2/7
Let n(a) be the first derivative of -2*a**3/3 + 3*a**2 + 8*a - 12. Factor n(s).
-2*(s - 4)*(s + 1)
Let t(a) be the second derivative of a**6/70 - 3*a**5/28 + a**4/7 - 13*a + 2. Factor t(j).
3*j**2*(j - 4)*(j - 1)/7
Suppose 2*a + 2 = 2*n, -3*n + 7*n + a - 9 = 0. Let 0*u**n + 1/2*u**5 + 0*u**4 + 0*u - 1/2*u**3 + 0 = 0. Calculate u.
-1, 0, 1
Let a(j) be the third derivative of -j**7/336 + j**6/90 - j**5/240 - j**4/24 - j**3/3 + 5*j**2. Let s(d) be the first derivative of a(d). Factor s(g).
-(g - 1)**2*(5*g + 2)/2
Let u be 