s**8/9240 + s**7/4620 - s**6/660 - s**5/132 - s**4/66 - s**3 - 8*s. Let n(r) be the second derivative of v(r). Factor n(u).
2*(u - 2)*(u + 1)**3/11
Suppose 1/2*q**3 - 1/2*q - 5/2 + 5/2*q**2 = 0. What is q?
-5, -1, 1
Let b be 420/(-55) + 16/2. Find m such that b + 2/11*m**2 - 6/11*m = 0.
1, 2
Let q(w) be the second derivative of -3/70*w**6 - 3/70*w**5 + 0*w**4 + 18*w + 0*w**3 + 0 - 1/98*w**7 + 0*w**2. Determine r, given that q(r) = 0.
-2, -1, 0
Factor 5/3*j**3 - 175/6*j + 335/6*j**2 - 85/3.
5*(j - 1)*(j + 34)*(2*j + 1)/6
Determine p, given that p**2 + p**5 + 28 - 3*p**2 + p + 2*p - 26 - 4*p**3 + 0*p**2 = 0.
-1, 1, 2
What is y in 1/3*y**5 + 0*y + 0 + y**3 + 1/3*y**2 + y**4 = 0?
-1, 0
Let r = 3 + 3. Let t = 2 + r. Factor 3*w - 5*w**2 - 5*w**2 + t*w**3 - 2*w**4 + w.
-2*w*(w - 2)*(w - 1)**2
Let q(n) be the second derivative of 8*n**7/245 - n**6/35 - 39*n**5/140 - 9*n**4/28 - 2*n**2 - 11*n. Let g(t) be the first derivative of q(t). Factor g(w).
3*w*(w - 2)*(4*w + 3)**2/7
Let h be 0 + 4/(-6) - (-560)/120. Suppose h*w = i - 0*i + 23, -4*i + 8 = 4*w. Let 0*j**4 + 0 + 0*j**2 - 2/7*j**w + 0*j + 2/7*j**3 = 0. What is j?
-1, 0, 1
Let x be (2/(-6))/((10 + -17)/7). Determine d, given that -x*d**2 - 4/3*d - 4/3 = 0.
-2
Suppose -3*n - 2*n - 20 = 0. Let a be n + 3 + 4/1. Let -2*y**2 + a*y**2 - 2*y**4 + 2*y**3 + 0*y**2 - 3*y**3 = 0. What is y?
-1, 0, 1/2
Let y be -7 - (4 + -7)*(2 - 1). Let s be (y/6)/((-8)/4). Factor -1/3*t - s*t**2 + 1/3*t**3 + 1/3.
(t - 1)**2*(t + 1)/3
Let f(d) be the third derivative of 0*d**3 + 0*d + 1/40*d**6 - 1/336*d**8 + 0 + 1/12*d**4 - 11*d**2 - 1/210*d**7 + 1/12*d**5. Determine m so that f(m) = 0.
-1, 0, 2
Let q = 5688/247 - 298/13. Factor q + 0*c**3 - 4/19*c**2 + 2/19*c**4 + 0*c.
2*(c - 1)**2*(c + 1)**2/19
Let q(z) = -3*z**3 + 14*z**2 + z. Let h be q(0). Factor -2/11 + h*j + 2/11*j**2.
2*(j - 1)*(j + 1)/11
Suppose 12*q = i - 14, 2*i - q - 55 = -50. Factor 36/5*a - 4/5*a**4 + 28/5*a**3 + 0 - 12*a**i.
-4*a*(a - 3)**2*(a - 1)/5
Let q(i) = -2*i**3 - 6*i**2 + 7*i - 9. Let n be q(-6). Let y be 1 + -7 - n/(-27). Factor -1/9*v**4 - 2/9 + y*v**3 + 1/3*v**2 - 1/9*v.
-(v - 2)*(v - 1)*(v + 1)**2/9
Let m(t) = -3*t**2 - 3*t - 3. Let j be m(-1). Let k be (3/3 + -4)/(j/2). Solve 2/7*g**5 + 16/7*g + 2/7*g**k + 8/7 - 2/7*g**4 - 10/7*g**3 = 0.
-1, 2
Let z be 12 - (-162)/(-144)*(-16)/(-3). Factor -1/2 - 7/2*w - z*w**2.
-(3*w + 1)*(4*w + 1)/2
Factor -2/7*a**2 + 80/7 + 78/7*a.
-2*(a - 40)*(a + 1)/7
Let d(r) = 6 + 0*r - 2 - r. Let v be d(4). Factor -4*z**3 + 3*z**2 - 3*z**4 + v*z**4 - 4*z**2.
-z**2*(z + 1)*(3*z + 1)
Let x be 147/462*176/77. Let -10/11*c**2 + 2/11*c**3 + x*c + 0 = 0. Calculate c.
0, 1, 4
Suppose -17*y + 33 = -6*y. Factor 11*p + 3 + p + 3*p + y*p**2 + 9.
3*(p + 1)*(p + 4)
Let d(l) be the first derivative of -l**6/9 - 8*l**5/3 - 13*l**4 + 440*l**3/9 - 121*l**2/3 + 82. Factor d(s).
-2*s*(s - 1)**2*(s + 11)**2/3
Let q(g) be the first derivative of g**9/672 - g**8/560 + g**7/1680 + 5*g**3/3 + 4. Let d(v) be the third derivative of q(v). Find x, given that d(x) = 0.
0, 1/3
Let g(w) = -15*w - 504. Let j be g(-34). Let q(v) be the second derivative of 1/5*v**5 - 9*v + 5/3*v**4 + 14/3*v**3 + j*v**2 + 0. Let q(l) = 0. What is l?
-3, -1
Suppose 7 = -22*r + 95. Let y(k) be the second derivative of -23/4*k**r - 5*k - 21/20*k**5 - 6*k**2 + 0 - 10*k**3. Factor y(g).
-3*(g + 1)*(g + 2)*(7*g + 2)
Let d(w) be the second derivative of w**4/54 - 4*w**3/27 + 4*w**2/9 - 17*w. Solve d(s) = 0.
2
Let n(t) be the first derivative of -t**3/12 + 15*t**2/8 - 7*t/2 + 35. Suppose n(u) = 0. What is u?
1, 14
Let s(f) = 25*f**4 - 132*f**3 - 431*f**2 - 149*f. Let i(l) = 62*l**4 - 330*l**3 - 1076*l**2 - 372*l. Let y(t) = -5*i(t) + 12*s(t). Find p such that y(p) = 0.
-2, -2/5, 0, 9
Let t = 32 - 32. Let c = 31/99 - 1/11. Solve 0*l**4 + 2/9*l**3 - c*l**5 + 0*l + 0*l**2 + t = 0 for l.
-1, 0, 1
Let j(p) = -p**2 - 7*p. Let x be j(-6). Let -2 + 4 + 6*v**2 + 0*v**3 + x*v + 2*v**3 = 0. Calculate v.
-1
Let m = 560 + -1117/2. Find q, given that -m*q**2 + 3/2*q**3 - 1/2*q**4 + 1/2*q + 0 = 0.
0, 1
Let i = 115/33 + 1537/165. Let p = 2147/1340 + -3/1340. Factor p + 22*h**2 + i*h.
2*(5*h + 2)*(11*h + 2)/5
Factor 98*z - 4*z**3 - 1715/4 + 1/4*z**4 + 21/2*z**2.
(z - 7)**3*(z + 5)/4
Let a = 1425/4 + -347. Let v(u) be the second derivative of 10*u**3 + 9/2*u**5 - 6*u**2 - 2*u - 9/10*u**6 + 0 - a*u**4. Factor v(m).
-3*(m - 1)**2*(3*m - 2)**2
Let o(h) = -3*h**2 + 5*h - 2. Let w be o(3). Let z = w + 14. Factor 3*d**4 + 3/2*d**3 + 0*d**2 + 3/2*d**5 + z*d + 0.
3*d**3*(d + 1)**2/2
Let o(b) = -3*b + 0*b**3 - 3*b**3 - 12 + 8*b**2 + 0*b**3. Let i(k) = -4*k**3 + 12*k**2 - 4*k - 18. Let m(w) = 5*i(w) - 7*o(w). Suppose m(d) = 0. Calculate d.
-3, -2, 1
Suppose -5*t + 13 = -2. Factor t*w**2 - w**4 - w**2 - 3 + 0 - 2*w**3 + 2 + w + w**5.
(w - 1)**3*(w + 1)**2
Suppose -4*a + 6*v - 2*v = -20, 10 = -a - 2*v. Suppose 2*r - 4 = -b, a = 2*b - 6*b - 5*r + 10. Find k, given that -3*k**2 + b + 2/3*k = 0.
0, 2/9
Let w(o) be the second derivative of -o**4/102 - 9*o**3/17 + 2*o + 229. Factor w(v).
-2*v*(v + 27)/17
Let c(j) = -j**3 + 10*j**2 - 45*j + 828. Let v be c(12). Suppose -1/9*b**2 + v - 1/9*b = 0. Calculate b.
-1, 0
Let i(p) = -p**2 + 6*p - 2. Let x(b) = -2*b**2 + 5*b - 2. Let r(h) = -3*i(h) + 2*x(h). Let n be r(-8). Find u such that -6 + 2 + 4 - u**n + u = 0.
0, 1
Solve 40/3*a + 12*a**2 + 32/9 + 20/9*a**3 = 0.
-4, -1, -2/5
Let l(q) be the third derivative of q**6/120 + q**5/30 - 13*q**4/24 + 5*q**3/3 + q**2 + 52*q. Let l(f) = 0. Calculate f.
-5, 1, 2
Let h(j) = -j**3 - 3*j**2 - 2*j - 3. Let a be h(-3). Suppose -3*z = 3*q - 5 - 4, -a*z + 5 = -q. Determine o, given that -3 - 25*o - 20*o**z + 2 + 0 - 4 = 0.
-1, -1/4
Let s(a) be the third derivative of -a**6/170 - 7*a**5/102 - 4*a**4/17 + 3*a**3/17 + 314*a**2. Determine l so that s(l) = 0.
-3, 1/6
Let s(k) be the third derivative of k**6/120 + 13*k**5/12 + 8*k**4/3 + 3*k**2 + 46. Determine y, given that s(y) = 0.
-64, -1, 0
Let u(x) be the second derivative of x**6/135 + 2*x**5/15 + 2*x**4/3 + 2*x + 31. Factor u(t).
2*t**2*(t + 6)**2/9
Let o(x) be the third derivative of -x**7/70 + x**6/8 + 21*x**5/20 + 23*x**4/8 + 4*x**3 - 138*x**2. Factor o(c).
-3*(c - 8)*(c + 1)**3
Let m = 246/91 + -24/13. Let f = -1569 + 1571. Factor 2/7*h**f + 4/7 - m*h.
2*(h - 2)*(h - 1)/7
Suppose -190 = -205*o + 534*o - 848. Factor 20 + 5/3*v**o - 40/3*v.
5*(v - 6)*(v - 2)/3
Let w = 1/1247 + 197/1309350. Let z(f) be the third derivative of -w*f**7 + 0 + 2/15*f**3 - 1/100*f**5 - 1/150*f**6 + 1/30*f**4 - f**2 + 0*f. Factor z(j).
-(j - 1)*(j + 1)*(j + 2)**2/5
Let a(t) be the third derivative of t**6/420 - t**5/70 + t**4/42 + 12*t**2 + t. Factor a(h).
2*h*(h - 2)*(h - 1)/7
Let y be (((-2)/(-2))/1)/(-1) + -4. Let l be (3/(-12))/(y - (-45)/12). What is k in -l*k**2 - 2/5*k + 0 = 0?
-2, 0
Suppose 0 = 4*d - k - 5 - 4, 0 = 3*d + 5*k - 1. Factor 2/3*c + 0 + 0*c**3 + c**d - 1/3*c**4.
-c*(c - 2)*(c + 1)**2/3
Find n such that -8/13*n**2 - 2/13*n**3 - 10/13*n - 4/13 = 0.
-2, -1
Let n(s) be the second derivative of s**9/216 - 2*s**8/105 + 11*s**7/420 - s**6/90 - 23*s**3/6 + 32*s. Let j(z) be the second derivative of n(z). Factor j(i).
2*i**2*(i - 1)**2*(7*i - 2)
Suppose -4*x - 28 = -4*i, 3*i - 2*x = 2 + 14. Suppose 0 = i*t + t - 9. Suppose 3*c**2 - 3 - 5*c + 0*c - 2*c**3 + 5*c**t + 2*c = 0. Calculate c.
-1, 1
Let y(c) be the third derivative of -c**6/200 + c**5/25 + 11*c**4/40 + 3*c**3/5 + 73*c**2. Factor y(d).
-3*(d - 6)*(d + 1)**2/5
Let q(r) be the first derivative of r**6/240 - r**5/60 - r**4/48 + r**3/6 - 15*r**2 - 15. Let u(t) be the second derivative of q(t). Factor u(g).
(g - 2)*(g - 1)*(g + 1)/2
Factor -2/5*i**2 - 4/5 - 6/5*i.
-2*(i + 1)*(i + 2)/5
Factor 1004*q + 3*q**2 + 40 + 2*q**2 - 1049*q.
5*(q - 8)*(q - 1)
Suppose -12*b = 8*b + 4*b. Let o(v) be the second derivative of -1/6*v**4 - 7*v + b*v**2 + 0 + 1/3*v**3. Solve o(w) = 0 for w.
0, 1
Let s(o) = 12*o + 42. Let p be s(-3). Let u(m) be the first derivative of -3 + 2/9*m**3 + 11/12*m**4 - 8/3*m + 2/5*m**5 + 1/18*m**p - 2*m**2. Solve u(h) = 0.
-2, -1, 1
Let u(z) be the first derivative of -4/27*z**3 + 0*z**5 - 8 + 0*z**2 + 0*z + 1/27*z**6 - 1/6*z**4. Suppose u(g) = 0. What is g?
-1, 0, 2
Let t(d) be the third derivative of -d**5/3 - d**4/6 - 263*