 + 2. Let z = -26 - -26. Let s be i(z). Solve 1/6*c + 0 - 5/3*c**4 - c**2 + 1/2*c**5 + s*c**3 = 0.
0, 1/3, 1
Let s(h) be the first derivative of -h**9/3024 + h**8/840 - h**6/180 + h**5/120 - h**3 - 1. Let u(j) be the third derivative of s(j). Factor u(f).
-f*(f - 1)**3*(f + 1)
Suppose -3*f + 5 - 2 = -5*n, 4*f + 5*n - 4 = 0. Solve -f - 5*z + 0 + 11*z + 5 + 2*z**2 = 0 for z.
-2, -1
Suppose -w = 8*w - 18. Find s, given that -3 + 9/2*s + 3*s**w - 6*s**3 + 3/2*s**5 + 0*s**4 = 0.
-2, -1, 1
Suppose 4*b = 2*g, g + 2*b = 3*b. Let j(c) be the first derivative of 3/8*c**4 + 1/12*c**6 + 0*c**2 + 3/10*c**5 + 2 + 1/6*c**3 + g*c. What is y in j(y) = 0?
-1, 0
Factor 0*k - 2*k**3 - 2/5*k**4 - 12/5*k**2 + 0.
-2*k**2*(k + 2)*(k + 3)/5
Let n(t) be the third derivative of 0 + 0*t + 4/105*t**5 + 1/21*t**3 + 4*t**2 - 5/84*t**4 - 1/105*t**6. Factor n(m).
-2*(m - 1)*(2*m - 1)**2/7
Let p = 9/25 - 31/225. Determine w so that 2/9 + p*w**2 - 4/9*w = 0.
1
Let b(h) be the third derivative of h**5/150 - h**4/20 + 2*h**3/15 - 14*h**2. Factor b(x).
2*(x - 2)*(x - 1)/5
Let m(d) be the third derivative of -d**8/784 - 3*d**7/490 - 3*d**6/280 - d**5/140 + 2*d**2. Factor m(l).
-3*l**2*(l + 1)**3/7
Suppose 0 = 4*q - 8 - 0. Factor 3*m + m**q - 5*m + m.
m*(m - 1)
Let o(t) = -t**2 + 21*t + 22. Let q be o(-1). Factor q - 1/7*g**2 - 1/7*g.
-g*(g + 1)/7
Factor 0 - 3/7*n**3 - 3/7*n**2 + 0*n.
-3*n**2*(n + 1)/7
Let u(n) = -5*n**4 - 7*n**3 - 7*n**2 - n. Let p(c) = 4*c**4 + 6*c**3 + 6*c**2 + c. Let s(b) = 4*p(b) + 3*u(b). What is m in s(m) = 0?
-1, 0
Let d(h) be the first derivative of 5*h**6/6 - 6*h**5 + 65*h**4/4 - 20*h**3 + 10*h**2 - 21. Factor d(p).
5*p*(p - 2)**2*(p - 1)**2
Let i(l) be the second derivative of -1/2*l**3 + 0*l**2 + 0*l**4 + 3/20*l**5 - 2*l + 0. Factor i(c).
3*c*(c - 1)*(c + 1)
Let q(x) = x**2 - x - 4. Let g be q(3). Factor -p**5 - 5*p - p**4 + 8*p - 1 - 3*p**2 - g*p**3 + p**2 + 4*p**4.
-(p - 1)**4*(p + 1)
Let r(q) be the first derivative of -4/5*q**5 + 7 + 0*q + 0*q**3 + 0*q**2 - q**4. Factor r(y).
-4*y**3*(y + 1)
Factor 7*m - 14*m**3 - 10*m**2 - m - 2*m.
-2*m*(m + 1)*(7*m - 2)
Let v(u) = u**3 - u. Let w(d) = -21*d**3 - 12*d**2 + 9*d. Let c(a) = -12*v(a) - w(a). Factor c(h).
3*h*(h + 1)*(3*h + 1)
Let u be (11/((-44)/32))/(-1 - 1). What is i in -12/13*i**3 + 8/13*i**2 - 2/13*i**5 + 0 - 2/13*i + 8/13*i**u = 0?
0, 1
Let w(u) be the third derivative of -u**7/7560 - u**6/2160 - u**4/6 - 2*u**2. Let j(p) be the second derivative of w(p). Factor j(b).
-b*(b + 1)/3
Let d(z) be the first derivative of -1/21*z**6 + 0*z**2 - 3/14*z**4 + 0*z + 2/21*z**3 + 1 + 6/35*z**5. What is y in d(y) = 0?
0, 1
Let -12/19 + 14/19*y**2 + 10/19*y**3 - 10/19*y - 2/19*y**4 = 0. What is y?
-1, 1, 6
Let b(h) = -h**4 + 3*h**3 + 5*h**2 - 7*h. Let u(x) = x**2 - x. Suppose 2*t - 3*t + 4 = 0. Let s(v) = t*b(v) - 28*u(v). Find f such that s(f) = 0.
0, 1, 2
Let k = 284 + -1418/5. Factor 6/5*l - k*l**2 - 4/5.
-2*(l - 2)*(l - 1)/5
Determine k so that -6*k + 5*k**2 - k**4 - 2*k**2 + 7*k**3 - 2*k**4 - k**3 = 0.
-1, 0, 1, 2
Let h(a) be the third derivative of -a**7/210 - a**6/360 + a**5/90 + a**2. Determine r, given that h(r) = 0.
-1, 0, 2/3
Let y(l) be the first derivative of l**5/50 - l**3/15 - 3*l + 3. Let z(i) be the first derivative of y(i). Factor z(k).
2*k*(k - 1)*(k + 1)/5
Let a(p) = -4*p**3 + 12*p**2 - p + 4. Suppose -33 = -4*h - 9. Let m(r) = 2*r**3 - 6*r**2 - 2. Let y(o) = h*a(o) + 11*m(o). Solve y(j) = 0.
1
Let w(u) be the second derivative of -u**4/54 + u**3/9 - 2*u**2/9 - 13*u. Suppose w(t) = 0. What is t?
1, 2
Let z(u) be the second derivative of -u**6/1080 - u**5/180 + u**3/2 + 2*u. Let t(d) be the second derivative of z(d). Factor t(b).
-b*(b + 2)/3
Let i(x) be the first derivative of -x**5 + 5*x**4/4 - 5. Let i(z) = 0. What is z?
0, 1
Let s(n) be the first derivative of -125/16*n**4 - 1 + 25/2*n**3 + 2*n - 15/2*n**2. Solve s(l) = 0.
2/5
Let p = -1901/7 + 272. Let t = p - -1/14. Factor 0*i + 0 + 0*i**2 - t*i**4 + 0*i**3.
-i**4/2
Suppose -4/5 - 2/5*z + 1/10*z**3 + 3/5*z**2 - 1/10*z**4 = 0. Calculate z.
-2, -1, 2
Let a(i) be the first derivative of -i**5/120 - i**4/24 + i**3/4 - 2*i**2 + 1. Let b(h) be the second derivative of a(h). Factor b(q).
-(q - 1)*(q + 3)/2
Let d(h) = h**2 + 9*h + 12. Let t be d(-8). Let z = -3 + 5. Determine y, given that -z*y**2 - y**2 - y**3 + t*y**2 = 0.
0, 1
Let g(s) be the first derivative of 0*s**3 - 9/2*s**2 - 6*s + 3/4*s**4 - 3. Factor g(c).
3*(c - 2)*(c + 1)**2
Let m(h) be the second derivative of 2*h**4/15 + h**3/15 - 3*h**2/5 + 8*h. Suppose m(d) = 0. What is d?
-1, 3/4
Let l = -24 - -17. Let j be 4/(-2) + 6 + l. Let v(h) = 3*h**3 + 6*h**2 + 4. Let y(q) = 3*q**3 + 6*q**2 + 3. Let n(c) = j*v(c) + 4*y(c). Factor n(b).
3*b**2*(b + 2)
Let s(d) be the first derivative of 2*d**3/9 + 2*d**2/3 + 2*d/3 - 14. Factor s(u).
2*(u + 1)**2/3
Let q(z) = -z**2 - z. Let o(v) = -2*v**3 - 3*v**2 - v. Let r be 1*(-6)/8*-4. Let c(g) = r*q(g) + o(g). Factor c(w).
-2*w*(w + 1)*(w + 2)
Suppose 1/3*a**2 + 0 + 4/3*a = 0. What is a?
-4, 0
Let y(g) be the third derivative of 3*g**2 + 0*g**3 + 0 - 1/60*g**5 - 1/600*g**6 - 1/40*g**4 + 1/1050*g**7 + 0*g. Factor y(d).
d*(d - 3)*(d + 1)**2/5
Let s = 1381/12 + -115. Let k(x) be the first derivative of 1 - 1/4*x**2 - s*x**3 - 1/4*x. Let k(c) = 0. What is c?
-1
Let w = 66 - 64. Let 2/3*l - 2/9 + 8/9*l**w = 0. What is l?
-1, 1/4
Suppose 18 = 3*p + 18. Let 0*v + 4/5*v**4 - 2/5*v**5 + p*v**2 - 2/5*v**3 + 0 = 0. What is v?
0, 1
Let m(f) be the second derivative of -3*f**5/20 + f**4/4 - 20*f. Factor m(t).
-3*t**2*(t - 1)
Let d(k) be the third derivative of k**5/80 + 3*k**4/8 - 13*k**2. Factor d(f).
3*f*(f + 12)/4
Let p = 12 - 10. Factor 56*h**4 - 56*h**4 + p*h**5 - 2*h**3.
2*h**3*(h - 1)*(h + 1)
Factor 15/2 - 3/2*c**2 - 6*c.
-3*(c - 1)*(c + 5)/2
Let m(l) be the third derivative of 0 - 1/48*l**4 + 3*l**2 + 1/24*l**3 + 0*l + 1/240*l**5. Factor m(v).
(v - 1)**2/4
Let i be ((-12)/(-126))/(3/7). Factor -4/9 - 8/9*h**2 + i*h**3 + 10/9*h.
2*(h - 2)*(h - 1)**2/9
Let m(w) = 17*w**2 + 24*w + 7. Let c(n) = 4*n**2 + 6*n + 2. Let d be (-10)/4 + 2/4. Let k = 40 - 31. Let j(p) = d*m(p) + k*c(p). Let j(o) = 0. What is o?
-2, -1
Solve 14*u**2 + 2*u + u**3 - 14*u**2 - 3*u = 0.
-1, 0, 1
Let k(j) be the second derivative of -j**7/840 - j**6/360 + j**3 + 5*j. Let q(z) be the second derivative of k(z). Factor q(x).
-x**2*(x + 1)
Let w be (-32)/12*(-3)/2. Let h be (-2)/w - (-7)/2. Find r such that -2/5*r**h + 4/5*r**2 - 2/5*r + 0 = 0.
0, 1
Let f be (-325)/20 + (-1)/(-4). Let i = -13 - f. Factor -1/4*z**2 + 0 + 1/4*z**4 - 1/4*z**i + 1/4*z.
z*(z - 1)**2*(z + 1)/4
Solve 6/5*x**2 + 2 - 2/5*x**3 + 18/5*x = 0 for x.
-1, 5
Let w(i) = -1 - 20*i**3 - i - 20*i**3 + 41*i**3. Let g(z) = -2*z + 48*z**2 + 30*z + 0 + 2 - 30*z**3. Let m(p) = -g(p) + 2*w(p). Find a, given that m(a) = 0.
-1/4, 2
Let s(r) be the first derivative of -r**6/18 + 4*r**5/15 - 5*r**4/12 + 2*r**3/9 + 7. Solve s(c) = 0 for c.
0, 1, 2
Let i(o) be the third derivative of o**9/302400 - o**8/33600 + o**7/8400 - o**6/3600 + o**5/20 - 2*o**2. Let l(v) be the third derivative of i(v). Factor l(d).
(d - 1)**3/5
Suppose 0 = 2*q - 5*p - 1, q = 3*q + 3*p - 9. Let h(k) be the first derivative of 1/18*k**q + 0*k + 1/30*k**5 + 1 + 0*k**2 - 1/12*k**4. Factor h(w).
w**2*(w - 1)**2/6
Suppose 174*s - 178*s = -12. Solve -2/3*x**4 - 8/3 - 4*x**s - 26/3*x**2 - 8*x = 0 for x.
-2, -1
Let x(c) = 9*c**2 - 6*c - 12. Let h(j) = 10*j**2 - 7*j - 12. Let y(m) = 6*h(m) - 7*x(m). Let y(u) = 0. What is u?
-2, 2
Let b = 920/699 + 4/233. Factor -2/3*s**5 + 0 + 0*s**2 - 2/3*s + 0*s**4 + b*s**3.
-2*s*(s - 1)**2*(s + 1)**2/3
Let h(s) = 2*s - 9. Let i be h(6). Let k be -1 - ((-2)/6 + -2). Find l, given that k*l**4 + 0 + 2*l**2 + i*l**3 + 1/3*l = 0.
-1, -1/4, 0
Let s(q) = -28*q**4 + 28*q**3 + 48*q**2 - 48*q + 20. Let l(m) = -4*m**4 + 4*m**3 + 7*m**2 - 7*m + 3. Let r(v) = -20*l(v) + 3*s(v). Solve r(b) = 0 for b.
-1, 0, 1
Let m = -2 - -5. Factor -1 + 3*j**3 - j**4 + 1 - 4*j**4 - m*j + 7*j**2 - 2.
-(j - 1)**2*(j + 1)*(5*j + 2)
Let t(b) be the third derivative of -b**7/420 - b**6/60 - b**5/24 - b**4/24 - 9*b**2. Factor t(z).
-z*(z + 1)**2*(z + 2)/2
Let x = 5 + -1. Suppose -4*j + 11 = 3. Find s such that -8 + 7*s**3 + 26*s + 0*s**x - s**4 - 18*s**j - 6*s = 0.
1, 