m**2 + 14*m**4 + 8*m**4 + 17*m**4 + 41 = 0.
-5, -1
Let u(f) be the second derivative of f**5/60 - 85*f**4/6 + 509*f**3/18 + 2938*f. Suppose u(h) = 0. Calculate h.
0, 1, 509
Factor 19*x**3 + 61/2*x**2 + 9*x - 5/2*x**4 + 0.
-x*(x - 9)*(x + 1)*(5*x + 2)/2
What is h in 0*h - 2/13*h**5 + 40/13*h**4 + 0 - 160/13*h**2 + 8/13*h**3 = 0?
-2, 0, 2, 20
Factor -45 + 91/2*t - 1/2*t**2.
-(t - 90)*(t - 1)/2
Suppose 0 = 2*b + 4*n - 24, 3*b + 0*b + 2*n - 40 = 0. Suppose 5*h - 1 = b. Find m, given that -17*m**4 + 7*m**4 - 2*m**2 - 32*m + 32*m**2 + 8 + 4*m**h = 0.
-2, 2/5, 1
Let g(y) be the second derivative of -y**5/10 + 10*y**4/3 - 109*y**3/3 + 90*y**2 + 605*y + 2. Factor g(j).
-2*(j - 10)*(j - 9)*(j - 1)
Let d be (12/(-14))/(3315/(-3094)). Let -2/5*n + d*n**3 + 12/5 - 2/5*n**5 - 24/5*n**2 + 12/5*n**4 = 0. Calculate n.
-1, 1, 6
Let j(f) = -66*f**2 + 8*f + 1. Let i be j(-3). Let m = 620 + i. Let -4/3*y**2 + 0 + 2/3*y + 2/3*y**m = 0. Calculate y.
0, 1
Let k = 65621/24 - 2734. Let c(v) be the second derivative of 0 + k*v**4 + 5/12*v**3 - 11*v + 0*v**2. What is l in c(l) = 0?
-1, 0
Let i(l) be the second derivative of 0 - l**2 + 114*l - 6/17*l**3 - 1/102*l**4. Find d, given that i(d) = 0.
-17, -1
Let l = 99 - 96. Let a be l - (2 + 2 + -3). Find w such that -3 + 9*w**2 - 2*w**2 + 17*w - 2*w**a + w**2 = 0.
-3, 1/6
Let h(i) = i**2 + 2567*i + 33202. Let o be h(-13). Factor o + 20/3*c - 4*c**2.
-4*c*(3*c - 5)/3
Let x(m) be the second derivative of 1/80*m**6 - 3/32*m**5 - 14*m + 3/4*m**3 - 4 + 0*m**2 - 1/4*m**4. Solve x(y) = 0 for y.
-2, 0, 1, 6
Let i be (2 - 4)*((-88)/(-396) - (-56)/(-90)). Let t(u) be the first derivative of i*u**3 - 12/5*u**2 - 1/10*u**4 + 18 + 16/5*u. Factor t(x).
-2*(x - 2)**3/5
Let y = 90 - 80. Let o be (-1)/(35/y + -4). Factor -25*p - 5*p**4 + 19 - 10*p**2 - 7*p**5 + 30*p**3 - 4 + o*p**5.
-5*(p - 1)**3*(p + 1)*(p + 3)
Let p(m) be the third derivative of -100/39*m**3 + 1/10*m**5 - 15/13*m**4 + 2*m + 0 - 1/390*m**6 - 78*m**2. Suppose p(h) = 0. Calculate h.
-1/2, 10
Let r = -36354 + 109070/3. Factor 2/3*m**3 - 10/3*m + r*m**2 + 0.
2*m*(m - 1)*(m + 5)/3
Factor -3/4*n**2 - 158700 + 690*n.
-3*(n - 460)**2/4
Let m(k) = 20*k - 38. Let a be m(2). Let h be ((1*2)/a)/(-59 - -60). What is g in -h - 1/4*g**2 + 5/4*g = 0?
1, 4
Solve 233 + 1/2*l**3 + 933/2*l + 234*l**2 = 0.
-466, -1
Let s(p) be the second derivative of 0*p**3 + 3 + 0*p**2 - 11/80*p**5 + 0*p**4 + p + 1/120*p**6. Solve s(k) = 0 for k.
0, 11
Let n = -3517/60 - -235/4. Let g = -212 + 215. Factor n*c**4 - 14/15*c - 2/3*c**g + 6/5*c**2 + 4/15.
2*(c - 2)*(c - 1)**3/15
Let x(d) be the first derivative of 1/3*d**3 - 21*d - 47 + 10*d**2. Factor x(u).
(u - 1)*(u + 21)
Let i(d) = 10*d**3 - 262*d**2 + 552*d + 728. Let w(f) = 18*f**3 - 506*f**2 + 1102*f + 1458. Let n(y) = 7*i(y) - 4*w(y). Factor n(t).
-2*(t - 92)*(t - 4)*(t + 1)
Let m = -520 - -524. Factor -m*o**2 + 12 + 26 + 9 - 27 - 16*o.
-4*(o - 1)*(o + 5)
Let y be (174/957)/((-7)/(462/(-18))). Determine n, given that -y*n**2 - 2/3*n + 4/3 = 0.
-2, 1
Let s = -22841 - -22846. Let f(d) be the third derivative of 1/96*d**6 + 0 + 0*d + 1/16*d**s + 0*d**3 + 0*d**4 - 10*d**2. Factor f(i).
5*i**2*(i + 3)/4
Suppose 0 = 67*p + 51*p - 144*p + 234. Let u(z) be the first derivative of p + 2/9*z**3 + 1/3*z**2 + 0*z - 2/15*z**5 - 1/6*z**4. Factor u(w).
-2*w*(w - 1)*(w + 1)**2/3
Factor 340/9*z**3 + 2/9*z**5 + 500/9*z**2 + 10*z**4 + 82/9 + 110/3*z.
2*(z + 1)**4*(z + 41)/9
Determine m so that 20*m**3 + 0*m**2 + 0 - 1/2*m**5 + 3/2*m**4 + 0*m = 0.
-5, 0, 8
Let x = -459 - -697. Let c = -236 + x. Factor 0*l + 0*l**3 + 1/3*l**4 - 1/3*l**c + 0.
l**2*(l - 1)*(l + 1)/3
Let j(b) be the second derivative of b**4/18 + 283*b**3/9 - 568*b + 3. Suppose j(r) = 0. What is r?
-283, 0
Let l(x) be the first derivative of 26*x**3/33 + 36*x**2/11 + 46*x/11 - 1762. Factor l(n).
2*(n + 1)*(13*n + 23)/11
Suppose -5*s - 3*l = -356, -5*l = 52*s - 48*s - 290. Suppose 56 = -7*g + s. Factor -1/2*d - 1 + 4*d**g - 5/2*d**3.
-(d - 1)**2*(5*d + 2)/2
Let r = -139112/5 - -139118/5. What is p in -r*p**3 + 0*p**2 + 3/5*p**4 - 3/5 + 6/5*p = 0?
-1, 1
Let l(d) be the first derivative of -d**4/4 - 32*d**3/3 + 35*d**2/2 + 69*d + 105. Let j be l(-33). Factor -3/2*t**j + 15/2*t - 3/2*t**2 - 9/2.
-3*(t - 1)**2*(t + 3)/2
Let t be (-3)/(3/(((-48)/(-2))/(-6))). What is j in 32*j - 4*j**2 - t*j**2 + 4*j**2 - 447 + 387 = 0?
3, 5
Suppose 22 = 5*n - 4*x, 926*n - 930*n + 5 = x. Factor -4/7 + 6/7*m + 0*m**n - 2/7*m**3.
-2*(m - 1)**2*(m + 2)/7
Let v = -429 + 538. Factor -6*s - 388*s**2 + 2*s**3 - 2*s + v + 391*s**2 - s**4 - 105.
-(s - 2)*(s - 1)**2*(s + 2)
Suppose -3*y = i + 1367 - 1456, -4*y + 144 = -5*i. Let a(z) be the first derivative of -z + 7/3*z**3 + 3*z**2 - y. Factor a(h).
(h + 1)*(7*h - 1)
Let h be (-28)/(-99) + (-118)/531 + (-1 - (-97)/33). Factor -9/8*v**3 + 9/8*v - 3/8 + 3/8*v**h.
-3*(v - 1)*(v + 1)*(3*v - 1)/8
Suppose 0 = -7*z + 1574 + 3060. Let t = z - 662. Find i such that 4/7 + t*i**2 + 6/7*i - 2/7*i**3 = 0.
-1, 2
Let a(n) be the second derivative of -n**6/60 + 23*n**5/20 - 4797*n. Determine u so that a(u) = 0.
0, 46
Let p = -535 - -535. Let a be p/(8 - (12 + -5)). Let a*n - 3/5 + 3/5*n**2 = 0. What is n?
-1, 1
Let i(n) = n**2 - 3*n + 2. Let x(v) be the third derivative of 0*v - 1/3*v**3 + 0 + 1/8*v**4 + 19*v**2 - 1/60*v**5. Let q(f) = -5*i(f) - 4*x(f). Solve q(c) = 0.
1, 2
Let r be (60/45)/(1 + 9 - 0). Let i = -728 - -730. Find c, given that -8/15*c**5 + 0 + r*c**3 + 0*c + 0*c**i + 2/5*c**4 = 0.
-1/4, 0, 1
Suppose 0*l - 112 = 7*l. Let v be ((l/42)/2)/((-122)/427). Determine r, given that -v*r + 1/3*r**2 + 0 + 1/3*r**3 = 0.
-2, 0, 1
Let q(n) be the second derivative of n**4/18 - 1982*n**3/9 + 982081*n**2/3 - n + 1916. Solve q(r) = 0.
991
Factor 0 - 1/6*p**2 + 3*p.
-p*(p - 18)/6
Let n(x) = 7*x**3 - 8*x**2 + 11*x + 2. Let g = -17 - -43. Suppose -5*c + 1 - g = 0. Let o(b) = b**3 - b**2 + b. Let r(w) = c*n(w) + 40*o(w). Factor r(u).
5*(u - 2)*(u + 1)**2
Determine w so that 1/4*w**3 + 23/4*w**2 + 35*w + 49 = 0.
-14, -7, -2
Let x(n) be the first derivative of 2*n**5/55 - n**4/22 - 32*n**3/33 + 16*n**2/11 + 1054. Suppose x(y) = 0. What is y?
-4, 0, 1, 4
Let t(m) be the second derivative of 29/4*m**5 - 144*m + 75/4*m**4 - 5/3*m**3 + 0 - 5/3*m**6 - 20*m**2. Suppose t(a) = 0. Calculate a.
-1, -1/2, 2/5, 4
Let v(t) be the first derivative of 4/9*t**3 - 2/3*t**2 - 1/15*t**5 + 0*t - 279 + 1/12*t**4. Factor v(b).
-b*(b - 2)*(b - 1)*(b + 2)/3
Let n = -1 - -3. Suppose 0 = -34*t - 4*t + 76. Factor -9*q - q**t - 80 + 40*q + 9*q - 4*q**n.
-5*(q - 4)**2
Suppose 842 = -2*c - 238. Let z = -535 - c. Determine p so that -3/2*p**2 + 3/8*p + 3/8*p**z - 3/4*p**3 + 3/4 + 3/4*p**4 = 0.
-2, -1, 1
Let d(s) = 8*s - 46. Let g be d(6). Suppose -6*i + 13 = 1. Solve o**g + 2*o**4 - 5*o**2 + 2 + 0*o**2 + 0*o**i = 0.
-1, 1
Let t(a) be the third derivative of -a**7/350 - 9*a**6/200 + a**5/100 + 9*a**4/40 - 42*a**2 + 19. Suppose t(v) = 0. What is v?
-9, -1, 0, 1
Solve -2/11*o**4 + 1111728*o + 636*o**3 - 6124994/11*o**2 - 6111008/11 = 0.
1, 1748
Let j(u) = 4*u - 11 + 8*u - 9*u**2 + 22*u**2 - 12*u**2 - 29. Let a be j(-15). Determine b so that 1/2 - 1/2*b + 1/2*b**4 - b**2 - 1/2*b**a + b**3 = 0.
-1, 1
Let n(s) = -2*s - 4. Let y(a) = 2*a**2 + a + 1. Let p be y(-1). Let b(d) = -10 + 2*d**2 - 28 + 0*d**2 + 39 - d**2 + d. Let k(j) = p*b(j) + n(j). Factor k(o).
2*(o - 1)*(o + 1)
Let t(w) be the first derivative of -2*w**3/27 - 20*w**2/9 - 64*w/3 + 43. Determine o so that t(o) = 0.
-12, -8
Suppose 0 + 2/3*p**2 + 44/3*p = 0. What is p?
-22, 0
Let x be ((-13)/(-286) + 221/1430)/(2/5). Solve 5*z - 9/2 - x*z**2 = 0.
1, 9
Let h = 89 + -87. Factor -52*i**3 + 3*i**4 + 18724*i**h - 500*i**3 + 13176890 - 1168032*i - 4026689 + 4282167 + 19364*i**2.
3*(i - 46)**4
Suppose 12 = 206*d - 202*d. Determine v so that 222*v**3 + 6 - 4*v - 104*v**d - 110*v**3 - 18*v**2 - 16*v = 0.
-1, 1/4, 3
Let v(s) be the second derivative of s**4/30 - 8*s**3/3 - 165*s**2 + 6*s + 216. Factor v(o).
2*(o - 55)*(o + 15)/5
Let l(y) be the second derivative of y**5/180 + y**4/4 - 33*y**2 - 7*y + 5. Let n(k) be the first derivative of l(k). Let n(h) = 0. What is h?
-18, 0
Suppose -3*h - h - 12 = 0. Let f be -3 - (1/h)/((-1)/(-21)). Factor -12/11*u**3 - 16/11*u + 24/11*u**2 + 0 + 2/11*u**f.
2*u