h**8/20160 - h**7/630 + h**6/45 - h**5/20 + 10*h**2. Let k(b) be the third derivative of a(b). Factor k(s).
(s - 4)**2
Let z(g) be the first derivative of -2*g**3/15 + 4*g**2/5 - 8*g/5 - 150. Find b, given that z(b) = 0.
2
Let b(d) be the first derivative of d**3/24 - 7*d**2/8 - 15*d/8 - 373. Factor b(w).
(w - 15)*(w + 1)/8
Let s(r) be the third derivative of -r**7/630 - r**6/60 + 7*r**4/24 + 24*r**2. Let w(y) be the second derivative of s(y). Find l, given that w(l) = 0.
-3, 0
Let q(g) be the second derivative of 2*g**6/135 - 2*g**5/45 - g**4/9 + 268*g. Find v such that q(v) = 0.
-1, 0, 3
Let j(z) be the first derivative of z**5/15 + 3*z**4/4 + 8*z**3/9 + 353. Factor j(o).
o**2*(o + 1)*(o + 8)/3
Let y(w) = -w - 2. Let b be y(3). Let k = b - -11. Suppose -2*o**2 - 4 - 2*o + k + o**3 + o**3 = 0. What is o?
-1, 1
Let p be 2/((-16)/398) - (0 + -1). Let u = 49 + p. Solve -1/2*c**3 - 1/2*c**4 + 2*c**2 + u*c**5 + 1/2 - 7/4*c = 0 for c.
-2, 1
Let y(l) be the first derivative of 5*l**3/3 + 35*l**2/2 + 60*l - 569. What is p in y(p) = 0?
-4, -3
Find p such that -7/2 - 37/2*p**2 - 79/4*p - 9/4*p**3 = 0.
-7, -1, -2/9
Let x(r) be the second derivative of -3*r**5/100 - r**4/2 + 12*r**3/5 + 36*r. Factor x(q).
-3*q*(q - 2)*(q + 12)/5
Let z be 96/(-432) - 367/252. Let j = -19/12 - z. What is t in 0 + j*t + 2/21*t**2 = 0?
-1, 0
Let p(w) be the third derivative of -w**6/200 - 7*w**5/150 - 17*w**4/120 - w**3/5 + 15*w**2 + w. Find z such that p(z) = 0.
-3, -1, -2/3
Suppose 2*v - 3*h + 316 = 7*v, 2*h - 4 = 0. Let w = v + -304/5. Solve 0 - 4/5*b**2 + 2/5*b + 4/5*b**4 + w*b**5 - 8/5*b**3 = 0.
-1, 0, 1/3, 1
Let i(u) = -185*u + 929. Let l be i(5). Factor -8/3*h + l*h**2 + 0.
4*h*(3*h - 2)/3
Suppose -18*a = -31*a + a. Factor a + 0*j + 9/4*j**3 - j**4 - 1/2*j**2.
-j**2*(j - 2)*(4*j - 1)/4
Let t = 655/57 + -193/19. Factor -t*n**2 - 13/3*n**3 + 0*n + 0 - n**4.
-n**2*(n + 4)*(3*n + 1)/3
Factor -21 - t**3 + 24*t + 15 - 3*t**2 - 22 + 0*t**2.
-(t - 2)**2*(t + 7)
Find a such that 0 - 10/11*a**3 + 74/11*a**2 - 28/11*a = 0.
0, 2/5, 7
Factor 1/2*w**2 - 19/2*w - 10.
(w - 20)*(w + 1)/2
Let j(a) = -a - 9. Let g be j(-14). Let h be (1/g)/(35/50). Find y, given that -2/7*y**5 + 0*y + 0 - 2/7*y**2 + h*y**3 + 2/7*y**4 = 0.
-1, 0, 1
Let s(y) be the third derivative of -4*y**6/15 - 58*y**5/15 - 267*y**4/16 - 135*y**3/4 - 380*y**2. Let s(q) = 0. What is q?
-5, -9/8
Let b be (-3)/8 + (-124)/(-160). Suppose 0 = 14*z - 9*z. Determine u so that z - 2/5*u**2 + b*u = 0.
0, 1
Let c(o) be the first derivative of -o**5/420 + o**4/84 + o**3/14 + 12*o**2 + 21. Let i(q) be the second derivative of c(q). Determine n so that i(n) = 0.
-1, 3
Let a(r) be the third derivative of r**7/2100 - 7*r**6/1200 - 3*r**5/200 + 7*r**4/240 + 2*r**3/15 + 2*r**2 - 18*r. Factor a(h).
(h - 8)*(h - 1)*(h + 1)**2/10
Let o(q) be the first derivative of 56*q**2 + 15 + 784*q + 4/3*q**3. Factor o(p).
4*(p + 14)**2
Let n(h) be the third derivative of h**7/42 + h**6/8 + 168*h**2 - h. What is d in n(d) = 0?
-3, 0
Suppose 21*t = 10*t. Suppose 0 = -t*i + 4*i. Factor 0*n**2 - 2/13*n**5 + 0 + 4/13*n**3 - 2/13*n + i*n**4.
-2*n*(n - 1)**2*(n + 1)**2/13
Suppose 23*g - 18*g - 18*g = 0. Let x(k) be the third derivative of -1/6*k**3 + 8*k**2 + 1/16*k**4 - 1/120*k**5 + g + 0*k. Suppose x(o) = 0. What is o?
1, 2
Let y be (-562)/(-115) + (54/207)/(-3). Factor -8/5*b**3 - 4/5 - 18/5*b - y*b**2.
-2*(b + 2)*(2*b + 1)**2/5
Let m(h) be the second derivative of -2/3*h**4 + 2*h**3 + 0*h**2 - h**5 - 12*h + 0. Determine d so that m(d) = 0.
-1, 0, 3/5
Let y be 0*(27/6)/9. Suppose 4*r - 3*p = -y*p + 20, 3*r - 22 = 4*p. Factor -11 + 10 + r*g**2 - g - g**4 + g.
-(g - 1)**2*(g + 1)**2
Factor 204 + 2*v**2 - 298*v - 286*v + 658*v.
2*(v + 3)*(v + 34)
Let c be ((-301)/84 + 4)*4. Suppose 1/3*w**3 + 4/3*w**2 + 2/3 + c*w = 0. What is w?
-2, -1
Let y = 111 - 775/7. Solve -2/7*m**2 - y*m + 4/7 = 0.
-2, 1
Let u(b) = -3*b + 20. Let d be u(6). Let -d*s**3 + 2*s - 27*s**4 + s**2 + 11*s**4 + 15*s**4 = 0. What is s?
-2, -1, 0, 1
Let u(j) be the first derivative of 5/2*j + 19/8*j**2 - 1/6*j**3 + 18. Suppose u(d) = 0. What is d?
-1/2, 10
Let d = -4801 - -4804. Let 8/3*f**2 + 4/3*f + 0 + 4/3*f**d = 0. Calculate f.
-1, 0
Let u(d) be the second derivative of d**5/60 + d**4/24 - d**3/3 + 23*d**2/2 + 24*d. Let h(k) be the first derivative of u(k). Factor h(x).
(x - 1)*(x + 2)
Determine i so that 4/3*i - 4/3*i**2 - 44/3*i**4 - 16/3*i**5 + 0 - 12*i**3 = 0.
-1, 0, 1/4
Let x(o) be the third derivative of -o**6/360 - 2*o**5/15 + 25*o**4/72 - 76*o**2. Factor x(w).
-w*(w - 1)*(w + 25)/3
Let r(q) be the third derivative of -q**5/120 - 29*q**4/48 - 101*q**2. Factor r(x).
-x*(x + 29)/2
Let s(p) be the third derivative of -p**5/20 + 107*p**4/8 - 237*p**2. Let s(u) = 0. Calculate u.
0, 107
Let l(u) = u**3 - 4*u**2 + 6*u - 6. Let o be l(3). Factor -48*v**3 + 3*v + 51*v**o - 3*v**2 - 9*v.
3*v*(v - 2)*(v + 1)
Let i = -439 + 9221/21. Let l(t) be the second derivative of -i*t**4 + 4/105*t**6 + 0 + 2/147*t**7 - 2*t + 0*t**2 - 2/21*t**3 + 0*t**5. Factor l(c).
4*c*(c - 1)*(c + 1)**3/7
Determine z, given that 2 - 55*z**2 - 35*z**2 - 7 + 50*z + 5*z = 0.
1/9, 1/2
Let k(l) = -l**3 + 4*l**2 + 5*l + 4. Let d be 6/2 + (-6)/(-3). Let o be k(d). What is i in 8*i**4 - 24*i**o + 12*i**3 + 16*i**2 + 3*i**5 - 16*i + i**5 = 0?
-1, 0, 1, 2
Let l(s) = -3*s - 36. Let n be l(-12). Let h(i) be the first derivative of 8/9*i**3 - 4 + n*i - 4/3*i**2 - 1/6*i**4. Suppose h(j) = 0. Calculate j.
0, 2
Let i(t) be the second derivative of -t**4/28 + 69*t**3/14 - 113*t. Determine r so that i(r) = 0.
0, 69
Suppose 0 = 3*t + o - 4*o + 9, 2*t + 2*o - 14 = 0. Factor -3*h**3 + 74*h**4 - h - 38*h**4 - 3*h**t - 37*h**4.
-h*(h + 1)**3
Let t = -4 - -4. Let s be (-3)/(3 + t - 4). Factor 0*v**2 + 0*v**2 - s*v**2 - 6*v**3.
-3*v**2*(2*v + 1)
Let g = -29 - -32. Find y, given that -3*y - 2*y**g - 10*y**3 + 21*y**2 - y - 7*y**2 = 0.
0, 1/2, 2/3
Suppose -12*v + 25 = -7*v. Let -t - 2*t**v + 483*t**3 - 8*t**2 - t - 8*t**4 + 0*t**5 - 495*t**3 = 0. Calculate t.
-1, 0
Let l(d) be the first derivative of -d**5/20 + d**3/6 + 13*d + 17. Let c(w) be the first derivative of l(w). Factor c(o).
-o*(o - 1)*(o + 1)
Let d(v) be the third derivative of 2*v**7/15 - 37*v**6/30 - 32*v**5/15 + 2*v**4 - 355*v**2. Find f such that d(f) = 0.
-1, 0, 2/7, 6
Let c be (-100)/8*(-11 + 530/50). Let m(o) be the second derivative of 0*o**2 + 15*o + 0 + 4/3*o**4 + 17/20*o**c + 2/3*o**3 + 1/6*o**6. Factor m(v).
v*(v + 1)*(v + 2)*(5*v + 2)
Let p(o) be the third derivative of -o**5/12 - 55*o**4/12 - 35*o**3/2 + 2*o**2 + 42. Factor p(f).
-5*(f + 1)*(f + 21)
Let f(l) = 307*l - 1532. Let i be f(5). Factor -2/7*u - 2/7*u**i - 4/7*u**2 + 0.
-2*u*(u + 1)**2/7
Let c(w) be the third derivative of 0*w**4 - w**2 + 0 - 1/30*w**5 + 0*w**3 + 1/105*w**7 + 0*w**6 + 0*w. Factor c(n).
2*n**2*(n - 1)*(n + 1)
Let x = -5 + 9. Suppose j = 11*j - 20. Factor -j*v + v - 6*v**2 + x + 3*v.
-2*(v - 1)*(3*v + 2)
Let b = -95 - -87. Let f be 0 - b/10 - 11/55. Solve 6/5 - 9/5*p + 0*p**2 + f*p**3 = 0 for p.
-2, 1
Let -96/5*u - 2/5*u**2 + 98/5 = 0. Calculate u.
-49, 1
Let t(f) = -7*f - 103. Let w be t(-21). Let m be (w/(-99))/(10/(-12)). Find k such that -m*k**3 - 2/3*k**2 - 2/15*k**4 - 4/15*k + 0 = 0.
-2, -1, 0
Suppose -5*j - 24 = -j. Let i(z) = z**3 + 6*z**2 - 2*z - 6. Let n be i(j). Find v such that 0 + 4*v - n*v**2 - 1 + 2*v - 1 + 2*v**3 = 0.
1
Let n(x) be the first derivative of 0*x**2 + 1/20*x**5 + 1/12*x**3 + 0*x + 4 - 1/8*x**4. Factor n(w).
w**2*(w - 1)**2/4
Let q(x) be the first derivative of -x**4/2 + 26*x**3/3 + 152*x**2 + 672*x + 494. Factor q(u).
-2*(u - 21)*(u + 4)**2
Let t(z) = -2*z + 8 - 17 + 4 + 0*z. Let a be t(-4). Factor -8*n**2 + 2*n**2 + n**4 - 2*n + 2*n**a + 5*n**4.
2*n*(n - 1)*(n + 1)*(3*n + 1)
Let i(d) be the third derivative of -d**8/84 - 6*d**7/35 + d**6/30 + 3*d**5/5 - 11*d**2 + 7*d. What is a in i(a) = 0?
-9, -1, 0, 1
Let h = 59881/60 + -998. Let y(a) be the third derivative of 9*a**2 + 0*a + 1/3*a**3 + 1/8*a**4 + 0 + h*a**5. Factor y(g).
(g + 1)*(g + 2)
Let h(c) be the second derivative of c**4/30 - 4*c**3/15 - 6*c - 9. Let h(p) = 0. Calculate p.
0, 4
Let g(v) be the second derivative of -12*v + 0*v**3 + 0 + 0*v**2 + 1/12*v**4. Factor g(i).
i**2
Let c be 106/22 - (-10)/55. Supp