r -352/3 - 76/3*n - 4/3*n**2.
-4*(n + 8)*(n + 11)/3
Suppose -3*c + 5*l + 99 = 0, 0 = 1347*c - 1344*c - l - 39. Suppose 16*u**3 + 52/3*u**2 + 4/3 + c*u + 16/3*u**4 = 0. Calculate u.
-1, -1/2
Solve -28/3 - 16/9*d**2 + 101/9*d - 1/9*d**3 = 0.
-21, 1, 4
Let s(c) be the second derivative of 3*c + 5/6*c**3 - 2 + 0*c**2 + 1/12*c**4. Determine b so that s(b) = 0.
-5, 0
Let g(f) be the first derivative of f**3/15 + f**2/2 - 104*f/5 + 1680. Factor g(i).
(i - 8)*(i + 13)/5
Let r be (-150)/(-10) - 15 - 726/4. Let g = -181 - r. What is v in -v**3 + 0*v**2 - g*v**4 + 1/2*v**5 + 0 + 0*v = 0?
-1, 0, 2
Let x(q) be the second derivative of q**7/735 - q**6/20 + 13*q**5/70 - 19*q**4/84 + 161*q**2/2 - 12*q. Let k(g) be the first derivative of x(g). Factor k(w).
2*w*(w - 19)*(w - 1)**2/7
Let s(q) be the third derivative of 1/120*q**6 - 1/6*q**4 + 0*q + 0 + 8/3*q**3 - 1/15*q**5 + 180*q**2. Factor s(i).
(i - 4)*(i - 2)*(i + 2)
Let p = 47 - 43. Let h(l) be the second derivative of p*l - 5/2*l**2 - 1/3*l**3 - 1/60*l**4 + 0. Factor h(x).
-(x + 5)**2/5
Let d(j) be the third derivative of 2/285*j**5 + 53/228*j**4 + 0*j + 0 + 22*j**2 + 13/57*j**3. Factor d(w).
2*(w + 13)*(4*w + 1)/19
Let t(d) = -590*d**2 - 1295*d - 180. Let c(k) = -74*k**2 - 162*k - 22. Let p(r) = 25*c(r) - 3*t(r). Factor p(b).
-5*(b + 2)*(16*b + 1)
Let i(p) be the first derivative of p**5 + 3195*p**4 + 4083210*p**3 + 2609171190*p**2 + 833630195205*p - 424. Factor i(v).
5*(v + 639)**4
Factor 5913/5*l - 198*l**2 - 8856/5 + 1/5*l**3.
(l - 984)*(l - 3)**2/5
Let o(f) = f + 6. Let j be o(-3). Let b be 5 + ((-330)/(-33))/(3/(-1)). Factor -b*i**2 + 2/3*i + 0 + i**j.
i*(i - 1)*(3*i - 2)/3
Let c(f) be the first derivative of f**4/78 - 3*f**3/13 + 8*f**2/13 + 22*f + 149. Let w(v) be the first derivative of c(v). Find j such that w(j) = 0.
1, 8
Let m(v) be the first derivative of 49*v**6/2 + 189*v**5/5 - 51*v**4/2 - 62*v**3 - 45*v**2/2 - 3*v + 82. Let m(g) = 0. Calculate g.
-1, -1/7, 1
Let q(f) be the third derivative of -f**7/420 - 3*f**6/40 + f**5/120 + 3*f**4/8 + 250*f**2 + 8*f. Suppose q(y) = 0. Calculate y.
-18, -1, 0, 1
Let a(k) be the first derivative of 3*k**7/2240 + k**6/192 + k**5/160 - 40*k**3/3 + 50. Let t(q) be the third derivative of a(q). Factor t(r).
3*r*(r + 1)*(3*r + 2)/8
Factor 252/5 - 253/5*v + 1/5*v**2.
(v - 252)*(v - 1)/5
Let l = -1/3542 + -20115013/17710. Let b = 1137 + l. Factor -b*d + 0 - 9/5*d**2 - 3/5*d**3.
-3*d*(d + 1)*(d + 2)/5
Let n be (54/4)/9*-2 - -5. Factor 6*h**4 - 3*h - 5*h**3 - 6*h**n + 6*h**5 + 11*h - 4*h**5 - 5*h**3.
2*h*(h - 1)**2*(h + 1)*(h + 4)
Let v be (-3)/(-33)*-372 - (-4)/(-22). Let k = v - -47. Suppose -29*n + 3*n**2 + k*n - 11*n**2 - n**3 = 0. What is n?
-4, 0
Let p(i) = 3*i**4 + 27*i**3 - 192*i**2 - 222*i + 48. Let m(z) = z**3 + z**2 - z + 8. Let k(f) = 6*m(f) - p(f). Factor k(s).
-3*s*(s - 6)*(s + 1)*(s + 12)
Let k = 37619/15046 + -2/7523. Find q, given that 0*q**2 + 0 - k*q**3 + 2*q + 1/2*q**5 + 0*q**4 = 0.
-2, -1, 0, 1, 2
Let x = -12 - -14. Solve 236 - x*g**2 - 3*g - 272 - 19*g = 0 for g.
-9, -2
Let n(g) = -6*g**3 - 214*g**2 + 790*g - 304. Let p(m) = -25*m**3 - 856*m**2 + 3159*m - 1197. Let d(w) = -18*n(w) + 4*p(w). Let d(l) = 0. Calculate l.
-57, 1/2, 3
Let z(k) be the first derivative of 0*k + 4/7*k**2 + 2/7*k**3 + 36. Factor z(n).
2*n*(3*n + 4)/7
Let g(z) be the first derivative of -z**6/24 + 3*z**5/5 + 27*z**4/16 - 81*z**3/2 - 6050. Determine c, given that g(c) = 0.
-6, 0, 9
Let q be ((-124)/279)/(5/(-324)). Factor -30 - 12*n**3 + 6/5*n**4 + 12*n + q*n**2.
6*(n - 5)**2*(n - 1)*(n + 1)/5
Suppose -188/3*m**2 + 44*m**4 - 16*m**3 + 0 + 8*m - 32/3*m**5 = 0. Calculate m.
-1, 0, 1/8, 2, 3
Let f(b) be the first derivative of 17*b**3/12 + 137*b**2/4 + 8*b + 2276. Solve f(g) = 0.
-16, -2/17
Factor v + 7*v + 40*v**3 - 74*v**3 + 9*v**2 + 35*v**3.
v*(v + 1)*(v + 8)
Let f(p) = -5*p + 1 + 5*p**2 - p**2 + 8*p**2 - 4*p**3 - 2*p**2. Let a(o) = o**4 - o**3 + o**2 + 1. Let d(w) = -4*a(w) + 4*f(w). Factor d(z).
-4*z*(z - 1)**2*(z + 5)
Suppose v = -4*k + 12, k - 2*v = -7 + 1. Factor -7*r**4 - 141*r**2 + 2*r**4 + 7*r**3 + 139*r**k.
-r**2*(r - 1)*(5*r - 2)
Let v(s) = -18*s + 4. Let g be v(-2). Let i = 72 - g. Factor -54*c**5 + 27*c**5 - 10*c**4 + i*c**5 + 5*c**3.
5*c**3*(c - 1)**2
Let 16*d**2 - 3/2*d**5 + 0 - 31/2*d + 44*d**4 + 77*d**3 = 0. Calculate d.
-1, 0, 1/3, 31
Suppose 0 = -3*a + 2*c + 35 + 2, 0 = -2*a + 4*c + 38. Let m be (-6)/((-10 - 1) + a). What is w in -1/3*w**4 - 2/3*w + 0 + w**2 + 0*w**m = 0?
-2, 0, 1
Let w(r) be the first derivative of r**4/20 - 4*r**3/15 - 89*r**2/10 - 84*r/5 + 6909. Factor w(b).
(b - 12)*(b + 1)*(b + 7)/5
Factor 186/5*a**2 - 7000 + 2/5*a**3 + 720*a.
2*(a - 7)*(a + 50)**2/5
Let h(c) be the second derivative of -c**7/336 - 47*c**6/60 - 2713*c**5/40 - 6043*c**4/3 - 85936*c**3/3 - 215168*c**2 - 4607*c. Factor h(p).
-(p + 8)**3*(p + 82)**2/8
Let s(q) be the second derivative of 16/3*q**2 + 4/9*q**3 + 1/30*q**5 + 1/45*q**6 + 3 - 2/3*q**4 + 13*q. Suppose s(t) = 0. Calculate t.
-4, -1, 2
Factor -4*w**4 - 6084 - 125*w + 2706*w + 539*w - 80*w**3 - 88*w**2.
-4*(w - 3)**2*(w + 13)**2
Let l be 17/((-14960)/(-216))*3/(-18). Let i = l - -97/220. Suppose 0 - i*q - 4/5*q**3 - 1/5*q**4 - q**2 = 0. What is q?
-2, -1, 0
Let f(h) = -h**2 - 7*h + 119. Let k be f(-15). Let g be (18/117)/k*-3. Determine q so that 18/13*q**4 - g*q**3 + 0 - 10/13*q**2 - 2/13*q = 0.
-1/3, 0, 1
Let y = -738246 - -738248. Solve 11/2*l**y - 3/2*l**3 - l - 11/2*l**4 + 0 + 5/2*l**5 = 0.
-1, 0, 1/5, 1, 2
Let q be ((-79662)/330)/(0 - 1). Let k = q - 241. Suppose k*o**2 + 13/5*o - 1/5*o**3 + 2 = 0. What is o?
-2, -1, 5
Let q be -2 + (94320/35)/9. Let p = q + -297. Factor p*j**2 + 6/7*j - 12/7*j**3 - 9/7*j**4 + 0.
-3*j*(j + 1)**2*(3*j - 2)/7
Let h(i) be the third derivative of i**6/1080 - 53*i**5/90 - i**4/216 + 53*i**3/9 - 20*i**2 - 16. Factor h(n).
(n - 318)*(n - 1)*(n + 1)/9
Suppose -6*r = -11*r + 910. Let u be 4 - (-26)/(-7) - 24/r. Let -6/13*v - 4/13 - u*v**2 = 0. Calculate v.
-2, -1
Let t(l) = -l**3 - 6*l**2 - 22*l - 83. Let n be t(-5). Let w(z) be the first derivative of 4*z - 16/9*z**3 - 22/3*z**n - 19. Solve w(f) = 0 for f.
-3, 1/4
Let r(u) be the third derivative of 1/672*u**8 + 0*u**4 - 1 - 1/70*u**7 + 0*u + 11/240*u**6 - 1/20*u**5 + 0*u**3 + 98*u**2. Factor r(v).
v**2*(v - 3)*(v - 2)*(v - 1)/2
Suppose -142/7*y**2 + 0 - 292/7*y + 148/7*y**3 - 2/7*y**4 = 0. Calculate y.
-1, 0, 2, 73
Let m be (-141)/(-12) + (-204 - -193). Let b(x) be the first derivative of 0*x**3 + 5 + 3/2*x**2 - m*x**4 + 0*x. Factor b(t).
-3*t*(t - 1)*(t + 1)
Let p(z) be the third derivative of z**8/3360 - z**7/350 - z**6/240 + z**5/20 + z**4/60 - 2*z**3/5 + 1782*z**2 - 3. Let p(b) = 0. What is b?
-2, -1, 1, 2, 6
Suppose s = 5*a - 17, 2*a = 5*s - 115 + 108. Let h be 27/5 - 2/5. Factor 6 - h*x + 236*x**s - 4*x - 233*x**3.
3*(x - 1)**2*(x + 2)
Let h be (-2)/(6 - (-186)/(-30)). Solve 20*u**4 - 11 + 11 + h*u**2 + 5*u**5 + 47*u**3 - 22*u**3 = 0.
-2, -1, 0
Let w = -2310 + 2310. Let x(l) be the third derivative of w*l**4 - 1/90*l**5 + 0*l - 22*l**2 - 1/540*l**6 + 4/27*l**3 + 0. Determine p, given that x(p) = 0.
-2, 1
Let z be -6 - (2/(-13) + 567/(-117)). Let j be (-10 + 19 + -9)/(-3 - z). Let -8/5 + 2/5*f**2 + j*f = 0. What is f?
-2, 2
Let q(b) be the second derivative of 2*b**5/5 - 11*b**4 + 21*b**3 - 31*b**2/2 - 566*b. Factor q(u).
(2*u - 31)*(2*u - 1)**2
Find u, given that 8/7*u**2 + 2/7*u**3 - 232/7*u - 480/7 = 0.
-12, -2, 10
Suppose 0 = 10*g - 16*g + 18. Let v be (1/g)/((-2)/3)*-32. Let -v*w**4 + 48*w**3 - 27*w + 11 - 4 + 12*w**2 + 5 - 13*w = 0. Calculate w.
-1, 1/2, 3
Let f = -3/37054 + 9268/55581. Suppose 0 = -i - i + 6. Let o**i + 3/2*o**2 - 2 + f*o**4 - 2/3*o = 0. Calculate o.
-3, -2, 1
Let 29282/15 + 484/15*x + 2/15*x**2 = 0. Calculate x.
-121
Let p(g) be the second derivative of -6*g + 1/7*g**2 - 1/35*g**5 + 1/441*g**7 + 5/63*g**3 - 1/315*g**6 + 3 - 1/63*g**4. Let p(q) = 0. Calculate q.
-1, 1, 3
Factor 14*s**5 + 13*s**2 - 232*s**3 + 191*s**4 + 57*s**5 + 69*s**4 - 21*s**5 + 35*s**2.
2*s**2*(s + 6)*(5*s - 2)**2
Let b(a) be the second derivative of -a**4/66 + 129*a**3/11 + 1459*a. Factor b(w).
-2*w*(w - 387)/11
Let t = -2102591/3 + 700869. Factor -4/9*z**2 + 20 + t*z.
-4*(z - 15)*(z + 3)/9
Let d(f) be the first derivative