.
(c - 1)**2*(c + 1)*(c + 2)**2
Let c = 115 + -112. Let v(n) be the first derivative of 1/8*n**2 + c - 1/12*n**3 - 1/16*n**4 + 1/4*n. Factor v(d).
-(d - 1)*(d + 1)**2/4
Let w(m) = -2*m - 4. Let n be w(-4). What is z in 96*z**3 + 48*z + 216*z**2 + 7*z**n + 8*z**4 + 97*z + 48 + 47*z = 0?
-2, -2/5
Let h(v) = -v**2 - 10*v - 14. Suppose 12 = -4*d - 20. Let m be h(d). Find b such that -8/9*b**4 - 8/9*b**m + 0 - 4/3*b**3 - 2/9*b**5 - 2/9*b = 0.
-1, 0
Let f(z) be the first derivative of -5*z**6/3 + 16*z**5/5 - z**4/2 - 4*z**3/3 - 3. Factor f(u).
-2*u**2*(u - 1)**2*(5*u + 2)
Suppose 9*q = 18 + 54. Suppose -q*a + 14*a**3 + 8/3 - 26/3*a**2 = 0. Calculate a.
-2/3, 2/7, 1
Let j(g) = -47*g**2 - 39*g - 4. Let v(d) = 24*d**2 + 19*d + 2. Let h(f) = 4*j(f) + 9*v(f). Solve h(r) = 0 for r.
-2/7, -1/4
Let i be 86/11 - 2/(-11). Factor -10*r - 8*r**2 - i + 6 - 2*r**3 - 2.
-2*(r + 1)**2*(r + 2)
Let y be ((-9)/(-3))/(3 - 2). Let w(c) be the first derivative of -2/5*c**4 - 4/5*c**2 - 2 - 2/25*c**5 - 2/5*c - 4/5*c**y. Find s, given that w(s) = 0.
-1
Let h = 7/5 + -16/15. Let q(w) be the first derivative of 0*w**2 + 4/5*w**5 + 3 + 0*w + 0*w**3 - h*w**6 - 1/2*w**4. Solve q(n) = 0.
0, 1
Suppose 0 = -8*z + 5*z. Factor 2/7*i**2 + z - 2/7*i.
2*i*(i - 1)/7
What is u in -28/5*u**4 - 4/5*u**5 - 56/5*u**3 + 36/5 + 12*u - 8/5*u**2 = 0?
-3, -1, 1
Let k(w) be the first derivative of 4*w**3/3 + 6*w**2 + 8*w - 5. Factor k(x).
4*(x + 1)*(x + 2)
Suppose -3*o = -3 - 9. Suppose -o*b + b = 0. Factor b*q - q**2 - 2*q + 3*q.
-q*(q - 1)
Let r(v) be the second derivative of -v**7/840 + v**6/160 - v**5/120 + v**2 - 4*v. Let w(l) be the first derivative of r(l). Solve w(g) = 0 for g.
0, 1, 2
Factor 2/9 - 4/3*g**2 - 10/9*g.
-2*(g + 1)*(6*g - 1)/9
Find k, given that 1/5*k**3 + 0*k**2 + 2/5 - 3/5*k = 0.
-2, 1
Let f(z) be the third derivative of -z**9/68040 + z**8/10080 - z**7/3780 + z**6/3240 + z**4/8 - 2*z**2. Let s(r) be the second derivative of f(r). Factor s(c).
-2*c*(c - 1)**3/9
Let z(n) = -n**4 - n**3 + n**2 - n - 1. Let r(x) = -5*x**4 - 21*x**3 - 29*x**2 - 11*x. Let g(f) = -r(f) - 2*z(f). Suppose g(m) = 0. Calculate m.
-1, -2/7
Let n be (-1)/(-1*(-3)/(-15)). Determine k, given that -8/9*k + 0 + 98/9*k**n + 56/9*k**4 - 10*k**3 - 56/9*k**2 = 0.
-1, -2/7, 0, 1
Suppose 13*r**3 + 7 - 7*r + 2 - 3 - 12*r**3 = 0. What is r?
-3, 1, 2
Let f = 8824/21 - 420. Let v(y) be the first derivative of 2 + 0*y + 1/7*y**2 + 0*y**4 - 1/21*y**6 + 4/35*y**5 - f*y**3. Factor v(x).
-2*x*(x - 1)**3*(x + 1)/7
Let z(c) be the second derivative of -4/3*c**4 + 1/5*c**5 + 0 + 8/3*c**3 + 0*c**2 - 7*c. Solve z(p) = 0 for p.
0, 2
Let q(y) = y**2 - 7*y + 9. Let z be q(6). Suppose 2*p = 3 + z. Factor g + 2*g**3 - 3*g**p + 2*g**2 - 2*g**3.
-g*(g - 1)*(3*g + 1)
Let i(w) be the second derivative of w**5/30 - w**4/12 + w**2/2 - 2*w. Let t(m) be the first derivative of i(m). Factor t(s).
2*s*(s - 1)
Let u(p) = 2*p**2 - 4*p - 3. Let q be u(-1). Let t be (-12)/18 + 8/q. Determine m so that -1/2*m - 1/3 - 1/6*m**t = 0.
-2, -1
Let s be 17/4 - 1/4. Factor -26*p**3 - 2*p - 21*p**2 - 3*p**2 - 24*p**3 + s*p**2.
-2*p*(5*p + 1)**2
Let j(d) be the second derivative of 2*d**7/147 - d**5/20 - d**4/84 + d**3/14 + d**2/14 - 2*d. Suppose j(u) = 0. Calculate u.
-1, -1/2, 1
Let x(z) be the first derivative of 1/2*z**2 + z - 3. Let d(w) = -2*w**2 - 6. Let c(m) = d(m) + 4*x(m). Factor c(i).
-2*(i - 1)**2
Suppose 0 = 2*p + 8 - 2. Let f be 3/(p*4/(-12)). Suppose 0 - 1/2*n + 3/4*n**2 + 5/4*n**f = 0. What is n?
-1, 0, 2/5
Let w = 43681/120 + -364. Let s(f) be the third derivative of -1/420*f**7 + f**2 + 1/24*f**4 - w*f**6 + 0*f + 1/12*f**3 + 0*f**5 + 0. Solve s(n) = 0 for n.
-1, 1
Let m(j) = j**3 - 5*j**2 - 2*j - 24. Let q be m(6). Solve 3/5*w**5 + q - 6/5*w**3 + 0*w**2 + 0*w**4 + 3/5*w = 0.
-1, 0, 1
Let w(j) = 2*j**2 + j + 1. Let h be w(-1). Let x = h - 4/3. Determine f so that -x - 2/3*f**3 + 2/3*f**2 + 2/3*f = 0.
-1, 1
Suppose -5*d + 4*d = -2. Let a(j) be the third derivative of -1/14*j**5 + 0*j - 2*j**d - 3/140*j**6 - 1/12*j**4 + 0 - 1/21*j**3. Factor a(k).
-2*(k + 1)*(3*k + 1)**2/7
Let u(l) = 39*l**3 + 16*l**2 - 39*l - 16. Let c(i) = -40*i**3 - 15*i**2 + 40*i + 15. Let d(q) = 6*c(q) + 5*u(q). Solve d(s) = 0.
-1, -2/9, 1
Let b = 463/1116 - 12/31. Let m(r) be the third derivative of 2*r**2 + 0*r**3 - b*r**4 + 1/30*r**5 + 1/315*r**7 - 1/60*r**6 + 0*r + 0. Let m(z) = 0. What is z?
0, 1
Factor -2/5*t**2 + 6/5*t + 8/5.
-2*(t - 4)*(t + 1)/5
Let j(i) be the third derivative of -i**7/280 + i**6/120 - 2*i**3/3 + 4*i**2. Let z(u) be the first derivative of j(u). Factor z(o).
-3*o**2*(o - 1)
Determine b so that -14/5*b**4 - 124*b**2 + 144/5 - 178/5*b**3 - 312/5*b = 0.
-6, -1, 2/7
Let c be ((-24)/(-48))/(2/8). Suppose -6/5*v**3 + 0*v**c - 3/5*v**5 + 1/5*v + 0 + 8/5*v**4 = 0. What is v?
-1/3, 0, 1
Let r(k) be the first derivative of 2*k**6/3 - 4*k**5/5 - 3*k**4 + 20*k**3/3 - 4*k**2 + 9. Factor r(b).
4*b*(b - 1)**3*(b + 2)
Let n(m) = m**2 - 6*m - 6. Let h(v) = -3*v**2 + 13*v + 13. Let k be ((-1)/2 + -1)*-10. Let o be ((-6)/k)/(1/(-25)). Let y(u) = o*n(u) + 4*h(u). Factor y(j).
-2*(j + 2)**2
Let b(s) be the second derivative of s**7/168 - s**6/60 + s**4/24 - s**3/24 - 7*s. Factor b(l).
l*(l - 1)**3*(l + 1)/4
Solve -3/4*v - 1/4*v**2 - 1/2 = 0 for v.
-2, -1
Let k(j) be the second derivative of -j**9/3024 + j**8/840 - j**6/180 + j**5/120 - j**3/6 - j. Let q(b) be the second derivative of k(b). Solve q(m) = 0.
-1, 0, 1
Let p(n) be the third derivative of -n**8/672 + n**7/140 + n**6/60 - 42*n**2. Suppose p(t) = 0. What is t?
-1, 0, 4
Let r(s) = -s**3 + s**2 + 7*s. Let h be r(3). Factor -1/2*i - 5/4*i**4 - 9/4*i**2 - 3*i**h + 0.
-i*(i + 1)**2*(5*i + 2)/4
Let q be ((-30)/(-75))/(1/(5 - 0)). Let h(r) be the first derivative of -q*r**2 + 2 - 2/3*r - 8/3*r**3 - 2/5*r**5 - 5/3*r**4. Factor h(v).
-2*(v + 1)**3*(3*v + 1)/3
Let k(t) be the second derivative of -t**5/60 - t**4/36 + 2*t. Let k(x) = 0. Calculate x.
-1, 0
Let j(s) be the first derivative of -s**8/840 - s**7/140 - s**6/60 - s**5/60 - s**3 + 2. Let f(m) be the third derivative of j(m). Factor f(b).
-2*b*(b + 1)**3
Factor -257*v**2 + 0*v + 152*v**2 + 3*v + 18.
-3*(5*v + 2)*(7*v - 3)
Let d(o) be the first derivative of -4*o**5/15 + o**4 - 4*o**3/3 + 2*o**2/3 + 12. Suppose d(s) = 0. Calculate s.
0, 1
Let m be (-1)/(-1) + (0 - -2). Suppose -22 = -m*z - 4. Let z*k - 3 - 6*k**2 + 2*k**2 + 4*k**2 - 3*k**2 = 0. Calculate k.
1
Suppose -2*k + 7*k - 4*o = 36, -4*k = -o - 20. Let j = k - 0. Factor -2*q**4 + 2*q**3 + 6*q**2 + j*q - 3*q - 4 - 3*q.
-2*(q - 2)*(q - 1)*(q + 1)**2
Let s(w) be the first derivative of -1/8*w**4 + 1 - 1/6*w**3 + 3*w - 1/40*w**5 + 0*w**2. Let z(i) be the first derivative of s(i). Let z(k) = 0. What is k?
-2, -1, 0
Let s(g) be the third derivative of 1/135*g**6 - 1/9*g**4 + 3*g**2 - 1/945*g**7 - 1/3*g**3 + 1/135*g**5 + 0*g + 0. Solve s(z) = 0 for z.
-1, 3
Find w such that 3*w**5 + 3*w**3 + 21*w**2 + 6*w**3 + 13*w**3 + 6*w + 5*w**3 + 15*w**4 = 0.
-2, -1, 0
Let r = -1/305 - -26843/915. Solve -r*m**2 - 16/3 - 49/3*m**4 + 56*m**3 - 32*m = 0 for m.
-2/7, 2
Suppose -6 + 36 = 15*z. Let p = 2 - -1. Determine s so that 0 + 6/7*s**p - 4/7*s**z + 0*s - 2/7*s**4 = 0.
0, 1, 2
Let t(d) be the second derivative of -d**4/96 - d**3/12 - d**2/4 + 9*d. Suppose t(i) = 0. Calculate i.
-2
Let s be -5 + 116/20 - 16/(-5). Suppose 0*q + 0*q**2 + 0 - 8/3*q**s - 2/3*q**3 = 0. What is q?
-1/4, 0
Let j = 2 + -4. Let l(n) = n**2 - n. Let t(r) = -2*r**4 + 4*r**3 - 2*r. Let o(i) = j*l(i) - t(i). Factor o(v).
2*v*(v - 2)*(v - 1)*(v + 1)
Let a be -3 + ((-116)/(-14))/2. Let j = a - -5/14. Solve 0 + 1/2*f + j*f**3 - 2*f**2 = 0.
0, 1/3, 1
Let s = -1487/390 + 50/13. Let g(o) be the second derivative of -1/9*o**3 + 0 - 1/45*o**6 + 0*o**2 + 1/18*o**4 + s*o**5 - 4*o. Factor g(f).
-2*f*(f - 1)**2*(f + 1)/3
Suppose 6 - 41 = -5*x. Let d be 8/(-42)*(1 - x). Suppose 26/7*t**3 - 10/7*t**4 + 0 - d*t - 8/7*t**2 = 0. What is t?
-2/5, 0, 1, 2
Let j(g) be the first derivative of -g**7/3780 - g**6/1620 + g**3/3 + 4. Let d(x) be the third derivative of j(x). Factor d(f).
-2*f**2*(f + 1)/9
Let r(q) = q + 7*q + 4 + 6*q**3 - 2*q. Let v(s) = 5*s**3 + s**2 + 5*s + 3. Suppose 12 = 3*c - 0. Let f(w) = c*v(w) - 3*r(w). What is z in f(z) = 0?
-1, 0
Find m such that 