e (a/(-15))/(4/(-12)). Factor -h - 2/5*n**2 + 4/5*n.
-2*(n - 1)**2/5
Determine u, given that -13 - 2*u**3 - 16 - 12*u**2 - 13 - 6*u + 62 = 0.
-5, -2, 1
Let c = 41930315033/1074 + -39041257. Let t = c + -1/358. Find p, given that -4/3 + 53/3*p**3 + 28/3*p - t*p**4 - 21*p**2 = 0.
2/7, 1/2, 1, 2
Suppose 0*h = 2*q + 5*h - 532, q - 4*h - 266 = 0. Let r be q/35 + 0 + -1. Factor -1/5 - 9/5*s - 46/5*s**3 - 9/5*s**5 - 6*s**2 - r*s**4.
-(s + 1)**3*(3*s + 1)**2/5
Let j be (-60)/(-525)*((-7)/(-2) - 1). Factor 2/7 + j*k - 2/7*k**2 - 2/7*k**3.
-2*(k - 1)*(k + 1)**2/7
Let b be ((-5)/(-2))/(1/2). Let g be (12/(-7))/((-1028)/(-104) - 10). Find c, given that 40/7*c**4 - g*c - 142/7*c**3 - 220/7*c**2 + 50/7*c**b - 16/7 = 0.
-1, -2/5, 2
Factor 2/3 + 7/3*s - 4/3*s**2.
-(s - 2)*(4*s + 1)/3
Let s(d) = -60*d**2 + 6*d - 2. Let c(o) = o + 1. Let l(m) = -2*c(m) - s(m). Suppose l(b) = 0. What is b?
0, 2/15
Let m be (-12)/(-6)*(-2)/(-40). Let s(t) be the second derivative of 1/6*t**3 + 2/21*t**7 - t + 0 - m*t**6 + 1/4*t**4 - 1/4*t**5 + 0*t**2. Factor s(q).
q*(q - 1)**2*(q + 1)*(4*q + 1)
Let v(b) be the second derivative of -b**10/45360 + b**9/11340 - b**8/10080 + b**4/4 - 3*b. Let p(u) be the third derivative of v(u). Factor p(f).
-2*f**3*(f - 1)**2/3
Suppose 0 = 3*h - 0*j + 4*j - 110, 108 = 3*h + 3*j. Let -48*l**2 - 97*l**3 + 43*l**4 + h*l**3 - 12*l - 70*l**4 = 0. Calculate l.
-1, -2/3, 0
Let l(f) be the second derivative of 0*f**2 + 1/5*f**3 + f + 0 - 3/100*f**5 - 1/20*f**4. Factor l(o).
-3*o*(o - 1)*(o + 2)/5
Let s(v) be the first derivative of -1/3*v - 7 + 5/6*v**2 + 7/12*v**4 - v**3 - 2/15*v**5. Factor s(o).
-(o - 1)**3*(2*o - 1)/3
Factor 2*i + 3/2*i**2 + 1/2.
(i + 1)*(3*i + 1)/2
Let t be ((-5)/(-3) + 1)*(93 - 91). Determine q so that 2/3*q**2 + 32/3 - t*q = 0.
4
Factor -6/7 + 2*j + 2*j**2 - 6/7*j**3.
-2*(j - 3)*(j + 1)*(3*j - 1)/7
Suppose 4 = -3*r + 3*v - 2, 0 = 2*v - 10. Let g be 0 + (-12)/(r + -7). Factor 1/4*i - 1/2*i**2 - 1/4*i**5 + 1/2*i**4 + 0*i**g + 0.
-i*(i - 1)**3*(i + 1)/4
Determine p so that -32*p**3 + p**4 + 8*p + 26*p**3 - 3*p**4 + 0*p**4 = 0.
-2, 0, 1
Let a(y) be the third derivative of -y**8/560 + 2*y**7/175 - y**6/40 + y**5/50 - 2*y**2. Determine p, given that a(p) = 0.
0, 1, 2
Find w, given that -6*w - 6*w - 92*w**3 - 52*w**4 - 139*w**3 - 95*w**4 - 96*w**2 = 0.
-1, -2/7, 0
Factor j + 397*j**2 + 3*j - 403*j**2.
-2*j*(3*j - 2)
Let x be 65/20 - (-6)/8. Let -3*u**5 + 2*u**x + 9*u**3 - 11*u**2 - 12*u - 8*u**4 + 23*u**2 = 0. Calculate u.
-2, 0, 1
Let m be 6/(-9) + (-2)/6. Let n = -1/3 - m. Suppose -2/3*b**2 + n*b**4 - 2/3*b + 2/3*b**3 + 0 = 0. What is b?
-1, 0, 1
Let p be (-11)/(-44) + (-4)/(-32). Factor -1/4*u + p*u**2 - 1/8.
(u - 1)*(3*u + 1)/8
Let r(f) be the third derivative of 1/3*f**5 - 7/6*f**4 + 0 - 2*f**2 + 0*f + 4/3*f**3. Determine j, given that r(j) = 0.
2/5, 1
Factor -7/3*y - 2/3*y**2 - 1.
-(y + 3)*(2*y + 1)/3
Let q(r) be the third derivative of 0 + 0*r + 0*r**3 - 2*r**2 - 1/21*r**4 + 1/35*r**5. Factor q(a).
4*a*(3*a - 2)/7
Let y(g) be the first derivative of g**9/9072 + g**8/2520 - g**6/540 - g**5/360 - g**3/3 + 2. Let a(z) be the third derivative of y(z). Factor a(f).
f*(f - 1)*(f + 1)**3/3
Let p(n) be the second derivative of 3/2*n**2 - 1/14*n**7 + 3/10*n**5 + 8*n - 1/2*n**3 + 1/10*n**6 + 0 - 1/2*n**4. Factor p(l).
-3*(l - 1)**3*(l + 1)**2
Factor -3/8 + 1/8*s**2 + 1/4*s.
(s - 1)*(s + 3)/8
Suppose 0 - 10 = -5*y. Factor 30/7*h**3 + 18/7*h**y + 22/7*h**4 + 4/7*h + 6/7*h**5 + 0.
2*h*(h + 1)**3*(3*h + 2)/7
Let f(k) be the first derivative of 0*k**2 - 3 - 1/2*k**4 + 0*k - 4/27*k**3 - 14/45*k**5. Let f(i) = 0. Calculate i.
-1, -2/7, 0
Let g(a) be the first derivative of a**3/3 - a**2 + 8*a + 5. Let m(x) = x**2 - 2*x + 7. Let z(o) = -6*g(o) + 7*m(o). Solve z(y) = 0 for y.
1
Let o(l) be the first derivative of -l**8/7560 + l**7/1890 + 4*l**3/3 + 4. Let b(i) be the third derivative of o(i). Suppose b(n) = 0. Calculate n.
0, 2
Suppose s + 2*s = 6. Suppose s*b = b + 2. Suppose -2/7*v**b + 2/7*v**3 + 0*v + 0 = 0. What is v?
0, 1
Let x(g) be the second derivative of -g**4/9 + 4*g**3/9 + 2*g**2 - 11*g. Factor x(h).
-4*(h - 3)*(h + 1)/3
Let t be ((-3)/(-2) + -2)*44/(-77). Let t*x**3 + 2/7*x**2 - 2/7*x - 2/7 = 0. Calculate x.
-1, 1
Let r be 15/(-6)*(-12)/10. Let g = 5 - r. Determine w, given that 0*w**3 - w**4 - w**2 + w + g*w**4 - w**3 = 0.
-1, 0, 1
Let g = 13 - 11. Factor -3*j + 2*j**2 - 5*j**2 - j**2 + 3*j**3 - g*j**2 + 6*j**4.
3*j*(j - 1)*(j + 1)*(2*j + 1)
Suppose -2*a - a = 0. Suppose a = -4*q + 19 + 5. Solve 0*d**2 + 3*d + d**2 - 4*d**2 + q = 0.
-1, 2
Let d(c) be the third derivative of 0*c + 1/105*c**5 + 3*c**2 + 1/84*c**6 + 0*c**3 + 0*c**4 + 1/245*c**7 + 0. Factor d(n).
2*n**2*(n + 1)*(3*n + 2)/7
Let a(d) be the first derivative of 4*d**3/15 - 4*d/5 - 22. Find m such that a(m) = 0.
-1, 1
Let n(d) be the second derivative of -d**6/135 + d**4/18 - 2*d**3/27 - d + 2. Factor n(v).
-2*v*(v - 1)**2*(v + 2)/9
Let m = 86 - 596/7. What is t in -m*t**3 + 0 + 0*t - 2/7*t**4 - 4/7*t**2 = 0?
-2, -1, 0
Let h be 3/((-1)/(8/6)) + 4. Solve 0*a + 0*a**3 + 2/7*a**2 - 2/7*a**4 + h = 0 for a.
-1, 0, 1
Let i(q) = -2*q - 8. Let d be i(-4). Let r(z) be the third derivative of d*z + 1/21*z**4 - 3*z**2 + 1/420*z**6 + 0 + 2/105*z**5 + 0*z**3. Factor r(w).
2*w*(w + 2)**2/7
Let r(y) be the first derivative of -3*y**5/25 + y**3/5 - 8. Factor r(w).
-3*w**2*(w - 1)*(w + 1)/5
Let a(z) be the third derivative of z**7/70 - z**6/56 - z**5/70 - 12*z**2. What is l in a(l) = 0?
-2/7, 0, 1
Let v = 4432/85 + -424/17. Let i be 1/(0 - 2/(-4)). Suppose -16/5 + 70*t**3 - 98/5*t**4 - 372/5*t**i + v*t = 0. Calculate t.
2/7, 1, 2
Let o be 7/35*5/2. Find s, given that -o*s**3 + 0 + 0*s + 1/2*s**2 = 0.
0, 1
Let a(f) be the third derivative of 9/8*f**4 + f**3 + 1/5*f**5 + 3*f**2 + 0 + 0*f. Factor a(c).
3*(c + 2)*(4*c + 1)
Let f(a) be the second derivative of a**5/30 - 7*a**4/18 - a**3/9 + 7*a**2/3 + 21*a. Suppose f(s) = 0. What is s?
-1, 1, 7
Let u(y) be the second derivative of y**7/42 - y**6/30 - 3*y**5/20 + 5*y**4/12 - y**3/3 - 11*y. Let u(a) = 0. What is a?
-2, 0, 1
Let u(g) be the first derivative of -g**4/26 + g**2/13 + 4. Factor u(n).
-2*n*(n - 1)*(n + 1)/13
Suppose -4*r + 3*k = -9*r + 37, 3*r - 19 = -k. Let h be 3 - (-2 + 2 - -1). Factor -4*m**5 + 3*m**4 + 3*m**3 + 0*m**2 + m**h + 5*m**r.
m**2*(m + 1)**3
Let q(y) be the second derivative of y**6/10 + 3*y**5/10 - y**3 - 3*y**2/2 + 8*y. Factor q(f).
3*(f - 1)*(f + 1)**3
Let y = 16 - 14. Factor -12*v**3 + v**y + 9*v**2 + 4*v + 16*v**3.
2*v*(v + 2)*(2*v + 1)
Let m(o) = 7*o**4 - 5*o**3 - 17*o**2 - 16*o - 1. Let p(i) = 3*i**4 - 2*i**3 - 8*i**2 - 8*i - 1. Let c(u) = 2*m(u) - 5*p(u). Factor c(z).
-(z - 3)*(z + 1)**3
Let l(r) be the first derivative of 1/80*r**5 - 1/24*r**3 - 1/4*r**2 + 3*r + 1/24*r**4 + 1. Let w(g) be the first derivative of l(g). Let w(v) = 0. What is v?
-2, -1, 1
Let n(o) = 2*o**2 + o - 4. Let u(v) = 3 + v - 6 - 5 + 7*v**2 - 2*v**2. Let j(c) = 7*n(c) - 3*u(c). Factor j(w).
-(w - 2)**2
Let o(c) = 2*c**2 + 5*c + 3. Let l be o(-3). Let n = -6 + l. Solve 1/2*x**2 + n + 0*x = 0.
0
Let c(f) = f - 7. Let m be c(7). Solve m + 0*j - 2/5*j**2 = 0.
0
Let l be (-33)/(-18) + (-3)/(-18). Suppose r - 2 = -q, q + l*r + r = 0. Suppose -2/3*j**4 + 2/3*j**2 + 0*j + 0 + 0*j**q = 0. What is j?
-1, 0, 1
Let d(g) be the third derivative of g**8/3696 + g**7/2310 - g**6/660 - g**5/330 + g**4/264 + g**3/66 + 17*g**2. Factor d(v).
(v - 1)**2*(v + 1)**3/11
Find v, given that 2/3*v**2 + 2/3*v + 0 = 0.
-1, 0
Let f(n) be the first derivative of 0*n**2 + 0*n**3 + 1 + 1/10*n**4 + 0*n + 2/25*n**5. Factor f(h).
2*h**3*(h + 1)/5
Let o(z) be the third derivative of 49*z**5/30 + 7*z**4/2 + 8*z**3/3 - 5*z**2 - 2. Determine y so that o(y) = 0.
-4/7, -2/7
Let q = -138 - -141. Let f(v) be the third derivative of 0*v**q + 1/90*v**5 + 0 + 4*v**2 + 0*v - 1/36*v**4. Factor f(o).
2*o*(o - 1)/3
Let f = -291/4 - -73. Let l be (0/(1 - -1))/2. Factor f*n**2 + 0*n + l.
n**2/4
Let c = 19/2 - 9. Let i = 0 + c. Suppose 0 + i*k - 1/2*k**3 + 1/2*k**4 - 1/2*k**2 = 0. Calculate k.
-1, 0, 1
Find k, given that -14 - 2*k**2 + 2 - 18*k + 5 - 9 = 0.
-8, -1
Let f be ((-6)/2)/(3/(0 + -3)). Factor 0 + 0*b**f - 2/7*b - 4/7*b**2 + 4/7*b**4 + 2/7*b**5.
2*b*(b - 1)*(b + 1)**3/7
Let c(u) be the f