t derivative of -t**7/315 + t**6/60 - t**5/30 + t**4/36 - 7*t**2/2 + 6. Let y(v) be the second derivative of a(v). Factor y(f).
-2*f*(f - 1)**3/3
Let x(w) be the first derivative of 0*w**2 - 2*w + 1/4*w**4 + 2 - 1/2*w**3. Let n(a) be the first derivative of x(a). Factor n(j).
3*j*(j - 1)
What is u in 23/5*u + 24/5*u**2 + 0 + 1/5*u**3 = 0?
-23, -1, 0
Let y = 26 + -26. Let d(c) = -c**2 - 2*c + 7. Let z be d(y). Suppose 9*s**4 - 8*s**3 + 4*s**2 + 2*s**4 - z*s**4 = 0. Calculate s.
0, 1
Let s(i) be the third derivative of -i**9/15120 - i**8/6720 - 7*i**4/24 + 7*i**2. Let j(g) be the second derivative of s(g). Solve j(t) = 0.
-1, 0
Let n = 191 + -185. Let d(y) be the third derivative of -3*y**2 + 4/3*y**4 + 0 - 1/15*y**n + 1/5*y**5 + 0*y + 8/3*y**3 - 2/105*y**7. Factor d(x).
-4*(x - 2)*(x + 1)**2*(x + 2)
Suppose -2*u + 35 = -4*d - 7, -2*d - 5*u - 27 = 0. Let w = -29/3 - d. Suppose -w*t**2 + 4/3 - 14/3*t + 14/3*t**3 = 0. Calculate t.
-1, 2/7, 1
Let p(l) be the third derivative of -l**7/840 + l**6/480 + 9*l**5/20 + 35*l**4/6 + 104*l**3/3 + 86*l**2 - 2*l. Factor p(m).
-(m - 13)*(m + 4)**3/4
Let x(y) be the second derivative of y**4/10 - 14*y**3/15 - y**2 + 11*y + 5. Solve x(f) = 0.
-1/3, 5
Let 10705 - 4*a**2 + 16*a - 10705 - 2*a**3 = 0. Calculate a.
-4, 0, 2
Factor -3*z**3 + 6*z**3 - 18*z**4 + 27*z**5 + 11*z**3 - 47*z**3 + 12*z + 12*z**2.
3*z*(z - 1)**2*(3*z + 2)**2
Let j(u) be the second derivative of -u**7/168 + u**5/20 + u**4/24 - u**3/8 - u**2/4 + 348*u. Solve j(p) = 0.
-1, 1, 2
Let u = -5471/24 + 228. Let k(r) be the second derivative of 0 + 1/40*r**5 + 1/180*r**6 + u*r**4 + 4*r + 1/36*r**3 + 0*r**2. Factor k(o).
o*(o + 1)**3/6
Factor -1956*c**3 - 1957*c**3 + 228 + 92*c**2 + 316*c + 3917*c**3.
4*(c + 1)*(c + 3)*(c + 19)
Let n = -955 - -957. Let g(o) be the third derivative of 0 + 1/48*o**4 + 0*o**5 - 1/240*o**6 + 0*o + 6*o**n + 0*o**3. Factor g(u).
-u*(u - 1)*(u + 1)/2
Suppose 0*m + 4*m = -p - 1, 0 = 4*m - 3*p - 3. Factor -g**3 - 4*g - g**2 + m + 9*g + 0*g**2 - 3.
-(g - 1)**2*(g + 3)
Factor -17*c**2 + c**3 - 1458 + 0*c**3 - 4*c**3 - 893*c - 55*c**2 + 326*c.
-3*(c + 6)*(c + 9)**2
Let i(u) be the first derivative of 0*u + 6/95*u**5 + 2/57*u**3 + 0*u**2 + 18 + 1/57*u**6 + 3/38*u**4. Factor i(m).
2*m**2*(m + 1)**3/19
Let m = -1060 - -25441/24. Let j(k) be the second derivative of -m*k**4 - 2*k + 1/80*k**5 + 0 + 1/4*k**2 - 1/24*k**3. Factor j(r).
(r - 2)*(r - 1)*(r + 1)/4
Suppose -3*s - 17 = -5. Let i = 8 + s. Factor -3*k**2 + 2 + 1 + i*k**2 - 4.
(k - 1)*(k + 1)
Let i(b) = -9*b + 252. Let s be i(28). Let j(m) be the third derivative of 0*m + 7*m**2 - 1/40*m**4 + 1/600*m**6 - 1/15*m**3 + s + 0*m**5. Factor j(g).
(g - 2)*(g + 1)**2/5
Let w = -23 - -21. Let u(z) = -z**3 - 2*z**2 - z + 1. Let i be u(w). Determine y so that -4*y**i - 3*y**3 + 4*y**3 + 3*y + 3*y**4 + 6 - 9*y**2 = 0.
-1, 1, 2
Let l(a) be the second derivative of a**4/4 + 13*a**3 + 207*a**2/2 - 2*a + 90. Let l(i) = 0. What is i?
-23, -3
Let v(w) be the second derivative of -w**6/6 - 17*w**5 - 1265*w**4/2 - 26450*w**3/3 + 60835*w**2/2 - 92*w. Factor v(g).
-5*(g - 1)*(g + 23)**3
Solve -1/3*u**4 + 6*u**3 - 97/3*u**2 + 48*u - 64/3 = 0 for u.
1, 8
Let x(j) = -4*j**2 - 19*j - 19. Let i(n) = 8*n**2 + 37*n + 37. Let d be (-4)/6 - 117/27. Let g(z) = d*x(z) - 3*i(z). Factor g(k).
-4*(k + 2)**2
Let f(j) be the second derivative of j**10/30240 - j**9/3780 + j**8/1344 - j**7/1260 - 35*j**4/12 - 15*j. Let h(k) be the third derivative of f(k). Factor h(u).
u**2*(u - 2)*(u - 1)**2
Suppose -87*c + 321 = 34*c - 42. Let 0 + 24/13*j**5 + 14/13*j**4 + 8/13*j - 62/13*j**c + 16/13*j**2 = 0. Calculate j.
-2, -1/4, 0, 2/3, 1
Suppose 0 = 2*g + 4, -w = -3*w + 2*g + 8. Find r such that 1 + 21*r - 2*r**3 - 23*r + 4*r**w - 1 = 0.
0, 1
Let x(z) be the first derivative of z**6/720 - z**5/240 - z**4/8 - 4*z**3/3 - 2*z - 50. Let c(s) be the third derivative of x(s). Factor c(d).
(d - 3)*(d + 2)/2
Suppose 5*g = -3*g + 40. Let f(v) = v**3 - 5*v**2 + 1. Let o be f(g). Factor 1/3*m**2 - o + 2/3*m.
(m - 1)*(m + 3)/3
Let q(y) be the first derivative of 1/8*y**3 + 1/32*y**4 + 1/8*y + 3/16*y**2 + 3. Find f, given that q(f) = 0.
-1
Let s(i) = -22*i**3 - 91*i**2 - 972*i - 1569. Let x(m) = -8*m**3 - 30*m**2 - 324*m - 522. Let j(r) = 6*s(r) - 17*x(r). Factor j(l).
4*(l - 15)*(l + 3)**2
Let w = -1519 - -4558/3. Find p, given that w*p**5 + 4/3*p**2 - p**3 + 0 - 2/3*p**4 + 4/3*p = 0.
-1, 0, 2
Factor 121/4 - 187/4*u + 75/4*u**2 - 9/4*u**3.
-(u - 1)*(3*u - 11)**2/4
Let c(d) be the first derivative of d**6/360 - d**5/60 - d**4/8 - 2*d**3/3 + 7. Let g(t) be the third derivative of c(t). Factor g(a).
(a - 3)*(a + 1)
Let l be ((-157)/(-3))/((2/9)/2). What is o in 4 + l*o + 0 + 6*o**2 - 485*o = 0?
1/3, 2
Let i(h) be the first derivative of 55*h**3/3 - 35*h**2/2 - 90*h + 195. What is a in i(a) = 0?
-1, 18/11
Let f be ((65/(-13))/5)/(-4). Factor f*c**2 - 3/4*c - 1.
(c - 4)*(c + 1)/4
Let d(i) = -i**3 - 9*i**2 + 138*i + 42. Let c be d(-17). Let o(p) be the first derivative of -c + 98/39*p**3 + 8/13*p - 28/13*p**2. Factor o(a).
2*(7*a - 2)**2/13
Let v(r) be the third derivative of r**6/540 + 7*r**5/270 - 5*r**4/18 + 470*r**2. Factor v(f).
2*f*(f - 3)*(f + 10)/9
Let t(m) = -1 + 0 + 0. Let f(o) = -o**3 + 4*o**2 - 3*o - 3. Let u(d) = -f(d) + 3*t(d). Factor u(w).
w*(w - 3)*(w - 1)
Let d(n) be the second derivative of n**7/112 + n**6/40 - 27*n**5/160 - n**4/16 + n**3/2 + 2*n + 4. Find f such that d(f) = 0.
-4, -1, 0, 1, 2
Let w(g) be the first derivative of -14*g**5/75 - 89*g**4/30 - 94*g**3/5 - 297*g**2/5 - 468*g/5 + 649. Factor w(m).
-2*(m + 3)**3*(7*m + 26)/15
Let p(q) = 3*q**2 + 2*q - 3. Let k = -17 - -19. Let m(b) = -35*b**2 - 25*b + 35. Let t(g) = k*m(g) + 25*p(g). Factor t(r).
5*(r - 1)*(r + 1)
Let i = -38 - -41. Factor -91*v**2 + 3*v**i + 4*v + 76*v**2 - 9 + 17*v.
3*(v - 3)*(v - 1)**2
Let z(u) be the second derivative of -27*u - 7/8*u**3 - 9/4*u**2 - 1/16*u**4 + 0. Find s such that z(s) = 0.
-6, -1
Factor -2523/2*f**2 - 58*f - 2/3.
-(87*f + 2)**2/6
Let c(k) be the first derivative of 2*k**7/35 - 7*k**6/50 - 3*k**5/50 - 41*k - 41. Let v(s) be the first derivative of c(s). Factor v(u).
3*u**3*(u - 2)*(4*u + 1)/5
Suppose 43 = 4*k - 2*r + 15, 0 = -5*k - 3*r + 13. Let l = k - 3. Suppose 2*o**l + 3*o**2 + o + o**2 - 5*o**2 = 0. Calculate o.
-1, 0
Suppose 2*k + 160 = 10*k. Let b be (-50)/(-408)*3 - 5/k. Suppose 0*i - 2/17*i**2 + b = 0. What is i?
-1, 1
Let c(v) be the third derivative of v**7/560 + v**6/160 + v**5/160 + 234*v**2. Let c(w) = 0. Calculate w.
-1, 0
Let q = 2511 + -2509. Factor -1 + 7/2*o - 5/2*o**q.
-(o - 1)*(5*o - 2)/2
Find x, given that 58*x**4 + x**3 + 17*x**3 + 94*x**2 - 8 - 6*x**3 + 106*x**3 + 10*x**5 + 16*x = 0.
-2, -1, 1/5
Let p(g) be the third derivative of -g**8/3360 - 8*g**7/525 - 143*g**6/600 - 4*g**5/5 - 15*g**4/16 + 42*g**2. Factor p(u).
-u*(u + 1)**2*(u + 15)**2/10
Solve -a**4 - 420*a + 74*a**2 + 13*a**3 + 875*a - 423*a - 28*a**2 = 0.
-2, -1, 0, 16
Let l be 6 + 6 + -7 - 2. Let i(a) be the second derivative of 0*a**2 + 0*a**l - 1/5*a**5 + 1/6*a**4 - 4*a + 0 + 1/15*a**6. Find k such that i(k) = 0.
0, 1
Let o(c) be the second derivative of -c - 2 + 5/16*c**4 + 17/8*c**3 + 9/4*c**2. Factor o(n).
3*(n + 3)*(5*n + 2)/4
Suppose 3*k - 4*k + 2 = 0. Factor -k*i**4 - 26*i**2 + 29*i**2 - i**4.
-3*i**2*(i - 1)*(i + 1)
Let x(d) be the first derivative of d**5/240 - 5*d**4/96 + d**3/4 + 19*d**2/2 + 28. Let c(r) be the second derivative of x(r). Factor c(i).
(i - 3)*(i - 2)/4
Factor 112/9 + 2/9*d**2 + 4*d.
2*(d + 4)*(d + 14)/9
Let b be (-1 - (6 - 5))*1/(-1). Factor 0*q**2 + 6*q**b + q + q - 2*q**2 - 2.
2*(q + 1)*(2*q - 1)
Let m = -959/30 - -323/10. Factor -1/3 - m*p**2 + 2/3*p.
-(p - 1)**2/3
Let m(c) = -14*c**3 + 119*c**2 - 222*c + 51. Let z(k) = 125*k**3 - 1070*k**2 + 2000*k - 460. Let a = -99 - -44. Let h(l) = a*m(l) - 6*z(l). Factor h(g).
5*(g - 3)**2*(4*g - 1)
Let r(x) be the first derivative of -x**5 - 15*x**4/4 + 25*x**3/3 + 15*x**2/2 - 20*x - 101. Suppose r(l) = 0. What is l?
-4, -1, 1
Let m(p) be the third derivative of 1/18*p**4 - 2/9*p**3 + 0*p + p**2 - 1/360*p**6 + 1/180*p**5 - 4. Let m(k) = 0. Calculate k.
-2, 1, 2
Let l(m) = 5*m**2 + 24*m + 140. Let s(g) = -g - 2. Let t(p) = -l(p) + 4*s(p). Let d(o) = -6*o**2 - 29*o - 149. Let 