**7/315 + r**6/18 - 4*r**5/45 - 5*r**4/18 + r**3 + 174*r**2. Find x such that c(x) = 0.
-1, 1, 9
Suppose 3*w + 3*i = -3, -80*w = -78*w + 6*i + 14. Determine v so that -15/4*v - 3/2*v**w + 15/4*v**3 + 3/2 = 0.
-1, 2/5, 1
Let i be 0/(-1 - (-5 + 2)). Let j(u) be the second derivative of -2/5*u**5 + 0 - 3*u - 1/3*u**3 + 7/12*u**4 + 1/10*u**6 + i*u**2. Suppose j(r) = 0. What is r?
0, 2/3, 1
Factor 260*p**2 + 13520*p + 5/3*p**3 + 703040/3.
5*(p + 52)**3/3
Let v(y) be the second derivative of -2*y**6/45 - y**5/3 - 7*y**4/9 - 2*y**3/3 + 128*y + 1. Factor v(g).
-4*g*(g + 1)**2*(g + 3)/3
Suppose -5*p + 11*p = 12. Suppose 3 + 18 + 87*i + 88*i**2 + 78*i**2 - 154*i**p = 0. Calculate i.
-7, -1/4
Let u(k) = k**3 - k**2 + 1. Let s(z) = 4*z**3 - 5*z**2 + z + 5. Let l = 35 - 40. Let q(x) = l*u(x) + s(x). Factor q(t).
-t*(t - 1)*(t + 1)
Let i = 11895/2 + -5946. Factor i - 1/4*u**2 + 1/4*u.
-(u - 3)*(u + 2)/4
Suppose -6*i - 7*i - 52 = 0. Let u be i/18 + 32/144. Factor 2/13*k**2 + u + 0*k.
2*k**2/13
Let n = -257/728 + 3/8. Let g = 265/364 + n. Factor 3/4*y - 1/2*y**3 + 1/4 - 1/4*y**5 - g*y**4 + 1/2*y**2.
-(y - 1)*(y + 1)**4/4
Factor 3/8*j**3 - 135/8*j - 9/8*j**2 - 243/8.
3*(j - 9)*(j + 3)**2/8
Let -4/5 + 0*x - 2/5*x**3 + 9/5*x**2 - 3/5*x**4 = 0. What is x?
-2, -2/3, 1
Let k(t) be the first derivative of -t**6/2 - 9*t**5/5 + 9*t**4/2 + 10*t**3 - 63*t**2/2 + 27*t + 192. Solve k(b) = 0.
-3, 1
Let k(g) be the second derivative of -2/105*g**7 + 9*g + 1/5*g**2 - 7/30*g**3 + 0 - 7/60*g**4 + 1/30*g**6 + 11/100*g**5. Find q such that k(q) = 0.
-1, 1/4, 1, 2
Let w = -20 - -22. Factor p**4 - 5*p**3 - 3*p - 3*p**2 + 4*p**w + 6*p**2.
p*(p - 3)*(p - 1)**2
Let k(c) be the third derivative of c**6/240 + 13*c**5/60 - 55*c**4/48 + 7*c**3/3 - 94*c**2. Factor k(g).
(g - 1)**2*(g + 28)/2
Let v(j) be the second derivative of -j**7/84 - 11*j**6/60 - 39*j**5/40 - 37*j**4/24 + 10*j**3/3 + 12*j**2 - 2*j - 90. Solve v(d) = 0.
-4, -3, -1, 1
Let z(i) be the first derivative of 57/10*i**2 - 6/5*i + 8 - 17/5*i**3. Solve z(s) = 0 for s.
2/17, 1
Let g(i) be the first derivative of i**3/9 + 274*i**2/3 + 75076*i/3 + 257. Solve g(b) = 0 for b.
-274
Suppose 51 + 14 = 13*u. Factor 4 - 8*p + 2*p**2 - 52*p**4 + 51*p**4 + 5*p**3 - p**u - p**2 + 0*p**2.
-(p - 1)**3*(p + 2)**2
Let t = -273 - -4096/15. Let v(r) be the third derivative of 0 + 1/60*r**4 + 0*r + 6*r**2 - 1/300*r**6 + t*r**3 - 1/150*r**5. Factor v(s).
-2*(s - 1)*(s + 1)**2/5
Let x(c) be the second derivative of c**4/48 + 7*c**3/8 - 23*c**2/4 - 2*c + 64. Suppose x(j) = 0. Calculate j.
-23, 2
Let z be (-36)/22 - 2/(-16 - -15). Solve 6/11*n - z + 4/11*n**2 = 0.
-2, 1/2
Let y(b) be the third derivative of b**8/84 + 11*b**7/21 + 3913*b**6/480 + 12067*b**5/240 + 5327*b**4/96 + 637*b**3/24 - 79*b**2. Solve y(w) = 0 for w.
-13, -7, -1/4
Let l(n) be the first derivative of n**5 - 2*n - 6*n**3 + 11*n - 4 - 4*n**5 + 6*n**2 - 9*n**4. Let l(z) = 0. Calculate z.
-1, 3/5
Let w(n) be the second derivative of n**4/60 - 7*n**3/30 + 6*n**2/5 - 130*n. Factor w(h).
(h - 4)*(h - 3)/5
Let w(o) be the second derivative of -o**8/1344 + o**6/240 - o**4/96 + o**2 - 4*o. Let d(h) be the first derivative of w(h). What is g in d(g) = 0?
-1, 0, 1
Let y = 24777 + -24775. Determine v so that -9/2*v**5 + 3*v**y + 9/2*v + 1 - 8*v**3 - 12*v**4 = 0.
-1, -1/3, 2/3
Let q(o) = -o**4 + 22*o**3 + 44*o**2 + 20*o - 4. Let b(r) = 9*r**4 - 177*r**3 - 354*r**2 - 159*r + 33. Let u(y) = 4*b(y) + 33*q(y). Find s such that u(s) = 0.
-2, 0
Find m, given that -3830*m**3 + 160*m - 15*m**2 - 5*m**4 + 3790*m**3 + 123 + 17 = 0.
-7, -2, -1, 2
Let j(g) = 3*g + 18. Let s be j(-5). Factor -1 - 13*q + 3*q**2 - 2 - 5*q**s + 10*q + 8*q**3.
3*(q - 1)*(q + 1)**2
Solve 4/19*j**3 - 2/19*j**2 - 40/19 - 82/19*j = 0.
-4, -1/2, 5
Let v(f) = -3*f**5 - 23*f**4 + 33*f**3 + 16*f**2 - 27*f + 1. Let b(x) = -x**5 + 2*x**4 - x**2 + 1. Let s(w) = -12*b(w) - 4*v(w). Solve s(r) = 0 for r.
-4, -1, 1/6, 1
What is r in -7/10*r - 1/10 + 8/5*r**3 - 4/5*r**2 = 0?
-1/4, 1
Let i(m) be the second derivative of m**4/9 + 40*m**3/9 + 200*m**2/3 + 199*m. Suppose i(a) = 0. Calculate a.
-10
Let c = 101 + -74. Find q, given that -30*q**2 + 10*q - 2*q - c*q**3 + 61*q**4 + q - 49*q**4 = 0.
-1, 0, 1/4, 3
Let z(t) be the third derivative of 0 - 1/6*t**3 - 1/18*t**4 - 8*t**2 + 1/90*t**6 + 0*t + 1/90*t**5 + 1/630*t**7. Find d, given that z(d) = 0.
-3, -1, 1
Let y(s) = s**2 + 110*s + 221. Let l be y(-108). Solve -8/3 + 58/3*c - 85/3*c**4 + 349/6*c**3 + 25/6*c**l - 152/3*c**2 = 0.
2/5, 1, 4
What is w in 87/2*w - 1/4*w**2 - 7569/4 = 0?
87
Let f(o) = -2*o**4 - 70*o**3 - 646*o**2 - 440*o + 1158. Let c(q) = -2*q**4 - 70*q**3 - 648*q**2 - 439*q + 1159. Let w(n) = -2*c(n) + 3*f(n). Factor w(p).
-2*(p - 1)*(p + 2)*(p + 17)**2
Let u(m) = -26*m - 12. Let q be u(-4). Find x such that 112*x - 40*x**2 + 11*x**3 - 4*x**3 - q*x - 5*x**4 + 18*x**3 = 0.
0, 1, 2
Factor 4*n**3 - 3*n**5 + 12*n + 8*n**4 + 7*n**5 - 12*n.
4*n**3*(n + 1)**2
Suppose -60/11 - 2/11*g**4 + 30/11*g**3 + 146/11*g - 114/11*g**2 = 0. What is g?
1, 3, 10
Let t(z) be the third derivative of z**5/60 - 83*z**4/12 + 6889*z**3/6 + 2*z**2 + 126. Find r, given that t(r) = 0.
83
Determine o so that -16 - 13 + 69*o + 0*o**3 - 5 - 27*o**2 - 11 + 3*o**3 = 0.
1, 3, 5
Let k(i) be the third derivative of i**6/300 + 571*i**5/150 + 5453*i**4/4 + 5415*i**3 + 356*i**2. Determine h, given that k(h) = 0.
-285, -1
Let a be (-33)/5 + 140/20. Factor a*p**5 + 0 + 1/10*p - 3/10*p**3 - 1/5*p**2 + 2/5*p**4.
p*(p + 1)**2*(2*p - 1)**2/10
Let x(s) be the third derivative of 1/180*s**5 + 0 - 2/9*s**3 + 1/24*s**4 + 0*s - 7*s**2. Factor x(w).
(w - 1)*(w + 4)/3
Let f(t) be the second derivative of 14*t - 1/33*t**3 + 1/66*t**4 + 0*t**2 + 0. Factor f(w).
2*w*(w - 1)/11
Let g(p) be the second derivative of -p**5/70 - 11*p**4/7 - 65*p**3/21 - 566*p. Let g(l) = 0. Calculate l.
-65, -1, 0
Let h(x) be the second derivative of -3*x**6/40 + 3*x**5/40 + x**4/16 - 2*x - 28. Find n such that h(n) = 0.
-1/3, 0, 1
Let i(h) be the third derivative of 3*h**5/40 + 19*h**4/32 - 5*h**3/2 - 15*h**2 + 7. Find p such that i(p) = 0.
-4, 5/6
Let k = 60182/11 - 5471. Factor k*t**2 - 2/11 - 1/11*t.
(t - 2)*(t + 1)/11
Let x(y) be the first derivative of y**4/66 - 4*y**3/33 + 3*y**2/11 + 41*y + 19. Let v(f) be the first derivative of x(f). Suppose v(g) = 0. What is g?
1, 3
Suppose -5*d + 4*h - 3*h - 20 = 0, -5*d - 4*h = 20. Let c be (-16)/(-8) + d/(-10). Let 3/5*n**2 + 9/5 + c*n = 0. What is n?
-3, -1
Factor -135/2*w**2 + 1/4*w**5 - 4*w**4 + 24*w**3 - 81/2 + 351/4*w.
(w - 6)*(w - 3)**3*(w - 1)/4
Find c, given that 66/13*c**2 + 12/13*c - 6/13*c**4 - 32/13 - 40/13*c**3 = 0.
-8, -2/3, 1
Let i(s) be the first derivative of s**6/15 - 19*s**5/25 - 9*s**4/2 - 4*s**3/3 + 44*s**2/5 + 39*s/5 - 433. Let i(v) = 0. Calculate v.
-3, -1, -1/2, 1, 13
Suppose 4*g - b - 44 = 0, 0*g = -4*g - 5*b + 68. Suppose -5*m - 15 = 4*j, j - m = 3*m + g. Solve -2/13 + 2/13*z**2 + j*z = 0 for z.
-1, 1
Let n(j) be the third derivative of -j**5/60 - 19*j**4/72 - j**3/3 + 54*j**2 + 2*j. Determine r, given that n(r) = 0.
-6, -1/3
Factor -5*o - 7*o + 802*o**2 + 21*o**3 - 12*o - 724*o**2 + 0*o**3.
3*o*(o + 4)*(7*o - 2)
Let b(j) be the first derivative of -24 - 4*j**2 + 4*j**3 + 12*j**4 + 0*j + 28/5*j**5. Factor b(i).
4*i*(i + 1)**2*(7*i - 2)
Let m(k) be the second derivative of 0*k**4 - 3/160*k**5 + 1/4*k**3 + 0*k**2 + 14*k + 0. Factor m(h).
-3*h*(h - 2)*(h + 2)/8
Let w(n) = -76*n**3 + 10*n**2 + 4*n + 11. Let d(p) = 154*p**3 - 19*p**2 - 8*p - 24. Let g(a) = 6*d(a) + 13*w(a). Suppose g(k) = 0. Calculate k.
-1/4, 1/4
Factor 12/7*p**3 + 0 - 2/7*p**4 + 2*p**2 + 0*p.
-2*p**2*(p - 7)*(p + 1)/7
Suppose 6*f - 2 = 16. Let n be 2/(104/(-195)) + 3 + 1. Solve 1/4*x - n*x**f - 1/4*x**2 + 1/4 = 0 for x.
-1, 1
Suppose 3*x + 5*h = 38, 2*x + 8*h = 5*h + 25. Suppose 0 = -12*b + x + 13. Factor -1/6*p**b + 0 + 1/3*p.
-p*(p - 2)/6
Let w(a) be the third derivative of a**6/240 - a**5/40 + a**4/16 + 29*a**3/6 + 9*a**2. Let o(s) be the first derivative of w(s). Find r such that o(r) = 0.
1
Let n = -56 + 58. Factor -6*p**3 + 167 - 2*p**4 - 4*p**n - 167.
-2*p**2*(p + 1)*(p + 2)
Let p(l) be the third derivative of -l**6/120 + l**4/24 - 3*l**2 + 97*l. Let p(k) = 0. Calculate k.
-1, 0, 1
Suppose n + l - 15 = -l, -2*n + 