e u.
0, 1, 2
Let d(z) be the first derivative of 13*z**5/3 + 17*z**4/2 + 4*z**3/3 - 11*z**2/3 + z - 314. Solve d(p) = 0 for p.
-1, 1/5, 3/13
Let 228/5*p**3 - 24/5*p**4 - 354/5*p**2 - 3/5*p**5 + 378/5 - 45*p = 0. Calculate p.
-14, -1, 1, 3
Determine g, given that 1/6*g**4 + 0 + 0*g - 2/3*g**3 + 2/3*g**2 = 0.
0, 2
Let n(s) be the third derivative of 0 + 16*s**2 + 1/140*s**7 - 1/80*s**6 + 0*s - 9/40*s**5 - s**3 - 11/16*s**4. What is z in n(z) = 0?
-1, 4
Let j = -129246/7 - -18466. Factor -2/7*n - j*n**2 + 2/7*n**3 + 16/7.
2*(n - 8)*(n - 1)*(n + 1)/7
Let u = 41842/7845 - 2/7845. Factor 4/3*z**2 + 0 + u*z.
4*z*(z + 4)/3
Let r(c) be the second derivative of c**7/14 - 7*c**6/40 - 3*c**5/20 + 7*c**4/8 - c**3 - 6*c**2 - 24*c. Let v(y) be the first derivative of r(y). Factor v(m).
3*(m - 1)**2*(m + 1)*(5*m - 2)
Let x(s) be the second derivative of 9/2*s**3 - 17*s - 3*s**2 + 0 - 7/2*s**4 + 27/20*s**5 - 1/5*s**6. Suppose x(w) = 0. Calculate w.
1/2, 1, 2
Let b(n) be the third derivative of -n**9/120960 + n**8/5040 - n**7/480 + n**6/80 - 11*n**5/60 - 22*n**2. Let s(q) be the third derivative of b(q). Factor s(t).
-(t - 3)**2*(t - 2)/2
Let d be 23400/52875 + (-4)/94. Let k be 1 + ((-12)/(-10) - 1). Suppose -k*c + d*c**2 + 4/5 = 0. What is c?
1, 2
Let k be 18/(3*2/3). Let b = k - -2. Factor -h**3 + 9*h**2 + 0*h**2 + 2*h**3 + b*h - h**4 + 4 + 0.
-(h - 4)*(h + 1)**3
Let z(j) = 2*j - 5*j**2 + 3*j**2 + 2*j**2 + j**3 - 3*j**2. Let u(f) = 2*f**3 - 5*f**2 + 3*f. Let m(q) = 3*u(q) - 5*z(q). Factor m(a).
a*(a - 1)*(a + 1)
Let g(z) be the third derivative of -12*z**2 - 3/10*z**5 + 0*z**3 - 9/8*z**4 + 0 + 0*z - 1/40*z**6. Factor g(j).
-3*j*(j + 3)**2
Let b(t) be the first derivative of -1/12*t**4 - 7 - 2/9*t**3 + 2/3*t**2 + 8/3*t. Solve b(l) = 0 for l.
-2, 2
Let k(n) be the first derivative of n**6/3240 - n**5/270 + n**4/72 - 5*n**3/3 - 28. Let d(c) be the third derivative of k(c). Factor d(q).
(q - 3)*(q - 1)/9
Let v(q) be the first derivative of -4/9*q**2 + 2/9*q**3 - 8/9*q - 2/45*q**5 + 1/9*q**4 + 5. Let v(a) = 0. What is a?
-1, 2
Let q(y) be the first derivative of 6*y**5 + 3*y**4/4 - 10*y**3 - 3*y**2/2 + 38. Factor q(f).
3*f*(f - 1)*(f + 1)*(10*f + 1)
Let c(z) be the second derivative of z**4/15 - 46*z**3/15 - 20*z**2 - 181*z. Factor c(g).
4*(g - 25)*(g + 2)/5
Let t(w) be the second derivative of w**4/60 - 17*w**3/10 - 169*w - 2. Factor t(r).
r*(r - 51)/5
Let g(q) be the first derivative of -q**5/10 + 11*q**4/8 - 13*q**3/3 + 4*q**2 + 441. Find p such that g(p) = 0.
0, 1, 2, 8
Let d(q) be the first derivative of 0*q + 1/600*q**5 - 1/450*q**6 + 0*q**2 - q**3 + 1/40*q**4 + 4. Let p(x) be the third derivative of d(x). Factor p(o).
-(o - 1)*(4*o + 3)/5
Let v(h) be the third derivative of 1/10*h**5 + 0*h**3 + 1/80*h**6 + 3/16*h**4 - 8*h**2 + 0*h + 0. Factor v(u).
3*u*(u + 1)*(u + 3)/2
Suppose -3*r = -r - 5*c + 1, -3*c = -4*r + 19. Find h, given that -6*h**2 - 81*h**3 + 46*h**3 + 40*h**3 + 20*h**2 - 2 + r*h = 0.
-2, -1, 1/5
Suppose 4*l - 7 = -4*h + 1, -2*h = -2*l + 4. Let k(f) be the second derivative of 6*f + 4/21*f**3 - 4/7*f**l + 0 - 1/42*f**4. Factor k(n).
-2*(n - 2)**2/7
Let s(x) be the first derivative of 75/2*x + 11/2*x**3 - 105/4*x**2 + 19 - 3/8*x**4. Find a such that s(a) = 0.
1, 5
Let t be (4/84*-3 - (-108)/168) + 0. Solve -1/2*r**4 + 0*r**3 + 0*r**2 + 0*r - t*r**5 + 0 = 0 for r.
-1, 0
Let k(q) = q**4 - 2*q**3 - q**2 + 2*q. Let n = 55 - 53. Let w(b) = -3*b**3 + 3*b. Let i(p) = n*w(p) - 3*k(p). Factor i(r).
-3*r**2*(r - 1)*(r + 1)
Let t = -598 + 17959/30. Let l = -2/15 + t. Factor l - c + 1/2*c**2.
(c - 1)**2/2
Let y(a) = 4*a**2 - 1. Let n = 11 - 12. Let i be y(n). Factor 2*w**3 - w - i*w**5 - 3 + 3 + 2*w**5.
-w*(w - 1)**2*(w + 1)**2
Let f(d) = -12*d + 27. Let q be f(2). Suppose -q*c + 11 = i, c + 0*c + 3 = i. Find g such that 0 - 4/13*g**2 - 2/13*g**i + 2/13*g + 4/13*g**4 + 0*g**3 = 0.
-1, 0, 1
Let m = -401/60 - 826/15. Let u = 63 + m. Factor u*y**3 + 1/4*y**2 + y**4 + 0 + 0*y.
y**2*(y + 1)*(4*y + 1)/4
Let b = 1552 - 1550. Let i = -1/95 - -479/380. Factor t**3 + 0 + i*t**b + 1/2*t + 1/4*t**4.
t*(t + 1)**2*(t + 2)/4
Let l(g) be the second derivative of -g**4/102 - 316*g**3/51 - 24964*g**2/17 + 711*g. Factor l(q).
-2*(q + 158)**2/17
Let t = -166 - -186. Suppose -t*o + 32 = -16*o - 4*v, o + 4 = -3*v. Solve -4*q**4 + 8*q + 1/2*q**o - 16*q**2 + 12*q**3 + 0 = 0 for q.
0, 2
Let d = 8017/24 + -334. Let t(u) be the third derivative of -u**2 + 0*u**3 + 0 - d*u**4 - 1/40*u**6 - 1/20*u**5 - 1/210*u**7 + 0*u. Factor t(g).
-g*(g + 1)**3
Let v(t) = -6*t**3 + 26*t**2 - 14*t + 2. Let f(k) = 2*k**4 - 11*k**3 + 51*k**2 - 27*k + 5. Let j(l) = 2*f(l) - 5*v(l). Factor j(h).
4*h*(h - 1)**2*(h + 4)
Let c(z) be the second derivative of z**4/12 - 5*z**3/3 - 11*z**2/2 - 13*z. What is m in c(m) = 0?
-1, 11
Let q(b) be the third derivative of -1/27*b**3 + 0*b - 15*b**2 - 1/90*b**5 - 1/540*b**6 + 0 - 1/36*b**4. Let q(t) = 0. What is t?
-1
Let i be (2 - -1) + -3 + 2. Factor 2*n**2 - 4*n - 5*n**i - n**2 - 1 + 0*n**2.
-(2*n + 1)**2
Let w(u) = -2*u - 1. Let d(j) = -28*j**2 + 4*j + 20. Let v(s) = d(s) + 12*w(s). Find b, given that v(b) = 0.
-1, 2/7
Let w = 2/87 + 1091/1740. Let s = -3/20 + w. What is t in -1/4 - 1/2*t**3 - s*t**2 + 3/4*t + 3/4*t**4 - 1/4*t**5 = 0?
-1, 1
Let b(q) be the first derivative of 4*q**3 - 12*q + 3/4*q**4 - 3/2*q**2 - 35. Factor b(v).
3*(v - 1)*(v + 1)*(v + 4)
Let c be 80/(-50) + 1 + (-186)/(-110). Find u such that -4/11 + 16/11*u**2 + 2/11*u**3 - 2/11*u - c*u**4 = 0.
-1, -1/2, 2/3, 1
Let r(z) = 20*z**3 - 52*z**2 - 128*z - 68. Let u(g) = -8*g**3 + 21*g**2 + 51*g + 27. Let j(k) = -5*r(k) - 12*u(k). Factor j(i).
-4*(i - 4)*(i + 1)**2
Let h(u) be the first derivative of -u**4/18 + 2*u**3/9 + 16*u**2/9 + 8*u/3 + 48. Find k, given that h(k) = 0.
-2, -1, 6
Factor 0 + 5/2*f**3 + 2*f**2 + 0*f.
f**2*(5*f + 4)/2
Let n = 1002 - 1002. Factor 3/4*u**2 + n*u - 3/4*u**4 + 0*u**3 + 0.
-3*u**2*(u - 1)*(u + 1)/4
Suppose -t + 3 + 4 = -5*u, -t + 3 = -u. Let k(m) = -m**2 - 3*m + 20. Let y be k(-6). Factor -9 + l**2 + l**2 + t*l**y + 1 + 4*l.
4*(l - 1)*(l + 2)
What is i in -19808 - 5*i**2 - 237*i - 631*i + 1947*i + 1808 - 479*i = 0?
60
Let l(m) = -11*m**2 + 72*m - 7. Let j(b) = -6*b**2 + 36*b - 4. Let q(h) = -7*j(h) + 4*l(h). Suppose q(t) = 0. Calculate t.
0, 18
Let x(z) be the first derivative of 14/3*z**3 + 13 - 4*z + 5*z**2. Let x(j) = 0. What is j?
-1, 2/7
Let v(l) = 37*l**2 + 2*l + 1 - 2*l - 38*l**2. Let i(a) = -3*a**4 - 9*a**3 - 5*a**2 + 12*a + 5. Let t(z) = -i(z) + 5*v(z). Let t(u) = 0. What is u?
-2, 0, 1
Let r(q) be the third derivative of q**6/24 - 5*q**5/12 + 5*q**4/12 + 20*q**3/3 - 25*q**2 + 4. Factor r(t).
5*(t - 4)*(t - 2)*(t + 1)
Let k = 93/25 + -73/25. Factor 2/5*i**2 + 6/5*i + k.
2*(i + 1)*(i + 2)/5
Suppose 0 = -75*y - 33 + 183. Determine k so that 12/7 + 10/7*k + 2/7*k**y = 0.
-3, -2
Let f be (-7)/(4/(-5 + 9)). Let g(c) = -5*c**4 - 8*c**3 + 9*c**2 + 2. Let b(k) = -16*k**4 - 25*k**3 + 27*k**2 + 7. Let l(a) = f*g(a) + 2*b(a). Factor l(h).
3*h**2*(h - 1)*(h + 3)
Let j be (3 - -1)/((-10)/593). Let f = j + 238. Factor -f*b**3 + 4/5*b + 2/5*b**4 + 0 - 2/5*b**2.
2*b*(b - 2)*(b - 1)*(b + 1)/5
Let c = -2/4483 - -9156/425885. Let i = c - -281/190. Suppose 0 - i*w**2 - 3*w = 0. Calculate w.
-2, 0
Let w(j) be the second derivative of 43*j + 0 + 5/6*j**3 + 0*j**4 - 1/4*j**5 + 0*j**2. Let w(l) = 0. Calculate l.
-1, 0, 1
Let z be -1 + 5 + -2 + 0. Let d = -80 + 84. Factor a**2 + a**5 + 2*a**d + 44*a - 45*a - 3*a**z.
a*(a - 1)*(a + 1)**3
Let z(k) be the second derivative of 1/10*k**3 - 6/5*k**2 - 3/100*k**5 + 29 + 1/5*k**4 + 2*k. Determine w, given that z(w) = 0.
-1, 1, 4
Let h = 18 + -16. Solve -13*t**2 - 16*t**h - 10*t + 27*t**2 + 12 = 0 for t.
-6, 1
Let c**2 - 2*c + 1/3*c**3 - 8/3 = 0. What is c?
-4, -1, 2
Let g = 93109/4 - 23274. Factor -g*r**2 + 5/4*r**3 + 1 + r.
(r - 2)*(r - 1)*(5*r + 2)/4
Let x(z) be the second derivative of -z**5/4 + 5*z**4/6 + 35*z**3/6 + 10*z**2 + z + 35. Let x(v) = 0. Calculate v.
-1, 4
Suppose -45*d + 64 + 116 = 0. Let c(n) be the third derivative of -7/30*n**6 + 2*n**5 + 0*n - 6*n**d + 16/3*n**3 + 0 - 11*n**2. Factor c(b).
-4*(b - 2)**2*(7*b - 2)
Determine x so that -1014*x + 0 - 2/3*x**3 - 52*x**2 = 0.
-39, 0
Let b(d) be the third derivative of d**5/20 + d*