0 + 2/13*i**u.
2*i*(i - 30)/13
Let h(n) = n**2 - 11*n - 10. Let i(f) be the second derivative of f**4/6 - 23*f**3/6 - 9*f**2 + f + 27. Let g(m) = -9*h(m) + 4*i(m). Factor g(l).
-(l - 9)*(l + 2)
Let o = 2/42541 + 1148327/5955740. Let t(d) be the second derivative of 7*d + 0 + 21/2*d**3 + o*d**5 - 9/4*d**4 - 49/2*d**2. Factor t(m).
(3*m - 7)**3/7
Let f(p) be the third derivative of -p**5/20 + 33*p**4/8 - 115*p**3 - 1249*p**2. Find c such that f(c) = 0.
10, 23
Let k(j) be the second derivative of -1/3*j**6 + 5/6*j**4 + 5/6*j**3 + 0*j**5 + 2*j + 48 + 0*j**2 - 5/42*j**7. Determine i, given that k(i) = 0.
-1, 0, 1
Let i(a) be the second derivative of 111 + 1/135*a**6 + 0*a**2 + 1/27*a**4 - 1/30*a**5 + 0*a**3 + 2*a. Let i(d) = 0. Calculate d.
0, 1, 2
Solve -s + 4/7*s**2 - 10/7 + 1/7*s**3 = 0 for s.
-5, -1, 2
Solve 2928*g**2 + 95*g**4 + 965*g**3 - 6756*g + 1620 - 5*g**5 + 10476*g + 37*g**2 = 0 for g.
-3, -2, -1, 27
Let j(r) be the third derivative of -r**7/150 - 37*r**6/600 - 31*r**5/300 + 19*r**4/40 + 3*r**3/5 - 2*r**2 + 62*r + 2. Find f, given that j(f) = 0.
-3, -2/7, 1
Suppose 0 = 4*c - 3*z - 13, -5*c + 22 + 2 = 4*z. Factor -c - 6/5*y + 2/5*y**2.
2*(y - 5)*(y + 2)/5
Solve 156 + 586*x + 53 + 24 - 105 + 113*x**2 + 88 - 5*x**3 = 0.
-4, -2/5, 27
Let t(k) be the second derivative of 40 + 2*k - 1/72*k**4 - 11/3*k**2 + 5/12*k**3. Factor t(j).
-(j - 11)*(j - 4)/6
Let i(h) = h**2 - 28*h + 73. Let m be i(26). Factor 24 + 124*c + m*c**2 - 5*c**2 - 36*c**3 + 48*c**2.
-4*(c - 3)*(c + 1)*(9*c + 2)
Let y(i) = -i**3 + 4*i**2 - 5. Let r be 28/(-4 - -8) - 2. Let f(c) = -r - 3 + 0 + 6*c**2 - 2*c**3. Let v(w) = -5*f(w) + 8*y(w). Factor v(x).
2*x**2*(x + 1)
Let d(j) be the third derivative of -1/210*j**7 - 4*j**3 + 112*j**2 + 0 + 2/15*j**6 + 0*j + 31/12*j**4 - 53/60*j**5. Factor d(o).
-(o - 12)*(o - 2)*(o - 1)**2
Let t = 0 + 0. Let o(j) = -4*j**2 - 726*j + 2590. Let y be o(-185). Factor 8/3*v**4 + y*v**2 + 0*v + t + 4/3*v**3 + 4/3*v**5.
4*v**3*(v + 1)**2/3
Let l(f) = 365*f**3 + 49683*f**2 + 3014284*f + 68574962. Let u(s) = -s**4 + s**3 - 3*s**2 + 1. Let n(x) = -l(x) + u(x). Factor n(r).
-(r + 91)**4
Let p(k) be the third derivative of -k**7/126 - k**6/12 - 11*k**5/36 - 5*k**4/12 + 1978*k**2. Factor p(j).
-5*j*(j + 1)*(j + 2)*(j + 3)/3
Suppose 0*o - 4*o + 8 = 0. Suppose -o*k - 28 = -9*k. Let 30*n**2 + 7*n**k - 81*n + 20*n**4 + 40*n**2 - 81 + 3*n**5 - 16*n**2 + 78*n**3 = 0. Calculate n.
-3, -1, 1
Let 192 + 486*l**2 + 150*l**2 - 32*l - 635*l**2 = 0. Calculate l.
8, 24
Let h(z) be the third derivative of -z**7/315 + 4*z**6/45 + 16*z**5/5 - 192*z**4 + 3840*z**3 + 8*z**2 - 43*z. Factor h(f).
-2*(f - 12)**3*(f + 20)/3
Let x(b) = -16*b**3 + b**2 - 1. Let n be x(-1). Suppose 0 = -n*i + 18*i - 6. Factor -98*d**3 - 4*d + 9*d + i*d.
-2*d*(7*d - 2)*(7*d + 2)
Let x(z) be the second derivative of -z**5/10 + 245*z**4/9 - 649*z**3/9 + 54*z**2 + 5535*z. Let x(u) = 0. Calculate u.
1/3, 1, 162
Let j(z) = -z**2 - z - 2. Let u(b) = 2*b**2 + 20*b + 10. Suppose 4*f = 7*f + 4*l - 23, -5*f = -l. Let o(i) = f*u(i) + 5*j(i). Find g, given that o(g) = 0.
0, 5
Find j, given that -4/9*j**5 - 8*j**3 + 0 + 64/9*j**2 + 32/9*j**4 - 20/9*j = 0.
0, 1, 5
Factor -661*v + 8 + 62*v - 3056*v - 7567*v**3 + 1435*v**3 + 12272*v**2 - 2493*v.
-4*(v - 1)**2*(1533*v - 2)
Let a = -25/518 + 142/259. Factor 5*b + 12 - a*b**2.
-(b - 12)*(b + 2)/2
Let y(b) = b**3 + 17*b**2 + 18*b + 34. Let v be y(-16). Let r be v + 4/22 + (-10)/55. Suppose 8 + 28*h - 6*h + r*h - 2*h**2 - 30 = 0. What is h?
1, 11
Suppose -m = -0*m - 2. Let o be 16/248 + 759/4092. Suppose o*n**m - 3/4*n + 1/2 = 0. Calculate n.
1, 2
Let n(r) = -r**4 + r**3 + r. Let q(f) = 536 + 3*f**3 - 537 - 3*f**4 + 2*f**2 - f**3 + 2*f. Let j(d) = -6*n(d) + 3*q(d). Suppose j(s) = 0. Calculate s.
-1, 1
Let o(t) = -7*t**2 - 32*t - 128. Let s(m) = -11*m**2 - 48*m - 192. Let w = 237 - 229. Suppose -2*j - 7 = 3. Let v(h) = j*s(h) + w*o(h). Factor v(r).
-(r + 8)**2
Let i(j) = -7 + 305*j - 595*j + 3*j**2 + 319*j. Let k be i(-10). What is f in 0 + 0*f - 4/3*f**2 + 16/9*f**4 - 2/3*f**5 + 10/9*f**k = 0?
-1, 0, 2/3, 3
Suppose -4*u - 3*w = -6*w + 28, 16 = -2*u + 2*w. Let a be 279/341*u/(-6). Find k, given that 4/11 + 2/11*k**2 + a*k = 0.
-2, -1
Factor -4/5*c**2 + 0 + 148/5*c.
-4*c*(c - 37)/5
Suppose -1230*m + 217*m**3 + 9*m**4 + 214*m**3 - 190*m**3 + 1498*m**2 + 167*m**3 + 71*m**2 = 0. Calculate m.
-41, -5, 0, 2/3
Let q be ((2/20)/(16 + (-1666)/105))/9. Let u(c) be the third derivative of -q*c**5 + 5/8*c**4 + 0 + 0*c - 4*c**2 - 5/3*c**3. Factor u(y).
-5*(y - 2)*(y - 1)
Let o(g) be the first derivative of -9*g**5/25 - g**4 + 23*g**3/15 + 3*g**2/5 - 2042. Factor o(i).
-i*(i - 1)*(i + 3)*(9*i + 2)/5
Let g(s) be the second derivative of -5/4*s**4 - 13*s + 1 + 1/4*s**5 + 5/3*s**3 + 0*s**2. Factor g(x).
5*x*(x - 2)*(x - 1)
Let k(o) be the third derivative of 11/90*o**5 - 30*o**2 + 0*o + 0 - 1/180*o**6 - 5/18*o**4 + 0*o**3. Find u such that k(u) = 0.
0, 1, 10
Let n be (-796)/175 - (14 + -19). Let j = n - -3/25. Factor j - 4/7*f**2 + 0*f.
-4*(f - 1)*(f + 1)/7
Let b be (2/2 + -278)*(32 - 33). Let k = 281 - b. Factor -1/2*f + 1/2*f**3 - 1/2*f**k + 1/2*f**2 + 0.
-f*(f - 1)**2*(f + 1)/2
Let f = 121/301 - -38/43. Let n = 1033389 + -1033387. Factor 0 + 12/7*z**n + 0*z + 0*z**3 - f*z**4 - 3/7*z**5.
-3*z**2*(z - 1)*(z + 2)**2/7
Let x(r) be the third derivative of -r**5/90 - 359*r**4/108 + 40*r**3/9 + 1771*r**2. Find t, given that x(t) = 0.
-120, 1/3
Let j(i) be the first derivative of i**3 - 81*i**2 - 336*i - 172. Find w, given that j(w) = 0.
-2, 56
Let g(j) = j**3 - 4*j**2 + 20*j - 17. Let x be g(1). Factor x - 2/7*z**2 + 8/7*z.
-2*z*(z - 4)/7
Let y(v) be the first derivative of -v**5/20 - 19*v**4/16 + v**3/4 + 923*v**2/8 - 845*v/2 - 1785. What is a in y(a) = 0?
-13, 2, 5
Let c be 18/(-15)*(-40)/12. Factor 6*y - 3*y**3 - 6*y - 4*y**4 - 16*y - 13*y**3 - c - 24*y**2.
-4*(y + 1)**4
Suppose s + 9 = 5*z - 0, -3 = -2*z + s. Suppose -3*o = -y - 2, z*o = -y + 4 + 4. Factor 3/8*m**o - 3/2 - 9/8*m.
3*(m - 4)*(m + 1)/8
Let s(o) be the first derivative of 8/21*o**3 - 277 - 5/7*o**2 + 2/7*o. Factor s(i).
2*(i - 1)*(4*i - 1)/7
Suppose -30*v + 1 = -5 + 6. Let s(q) be the second derivative of v + 13/9*q**3 + 12*q - 1/3*q**2 + 7/9*q**4. Factor s(f).
2*(f + 1)*(14*f - 1)/3
Let w(j) = 6*j**2 - 7*j - 60. Let l be w(12). Factor 17 + 3990*g**2 - 1805*g**3 + 373*g - l*g + 23 - 433*g.
-5*(g - 2)*(19*g - 2)**2
Let a(d) be the second derivative of 5*d**7/252 + 22*d**6/9 - 187*d**5/12 - 685*d**4/18 + 1865*d**3/36 + 575*d**2/3 - 185*d. Find c, given that a(c) = 0.
-92, -1, 1, 5
Let t be (-1)/3*26004/(-22). Let y = t + -2746/7. Factor 0 + 9/7*u - y*u**2 + 3/7*u**3.
3*u*(u - 3)*(u - 1)/7
Let v(i) be the second derivative of -i**4/60 - 37*i**3/30 - 143*i**2/5 + 2976*i. Factor v(z).
-(z + 11)*(z + 26)/5
Let k(o) be the second derivative of -o**6/15 - 28*o**5/5 - 235*o**4/3 + 1112*o**3/3 - 585*o**2 - 5143*o. What is q in k(q) = 0?
-45, -13, 1
Let t = 35 - 35. Let j be -5 + (t - (-91)/14). Determine w, given that 9/2*w + 0 - j*w**2 = 0.
0, 3
Let x(y) = 18*y**2 - 6*y + 660. Let c(q) = 13*q**2 - 3*q + 440. Let h(k) = 7*c(k) - 5*x(k). Find p, given that h(p) = 0.
-20, 11
Let g(m) = m**2 - 88*m + 419. Let r be g(5). Let y(a) be the first derivative of -2*a + 4/3*a**3 - 2/5*a**5 - 14 + 0*a**r + 0*a**2. Factor y(f).
-2*(f - 1)**2*(f + 1)**2
Let u(w) be the second derivative of w**7/840 - w**6/180 - w**5/30 - 2*w**4/3 + 5*w**3/6 + w - 48. Let q(n) be the third derivative of u(n). Factor q(i).
(i - 2)*(3*i + 2)
Let o(x) be the third derivative of -13*x**7/630 + 259*x**6/180 + 3551*x**5/180 + 493*x**4/6 + 46*x**3 + x**2 - 4*x - 58. Determine m, given that o(m) = 0.
-3, -2/13, 46
Let i(f) be the first derivative of f**5/20 + f**4/4 - 12*f**3 - 98*f**2 - 196. Let c(t) be the second derivative of i(t). Find s, given that c(s) = 0.
-6, 4
Let y be 21/(-56) + ((-20660)/(-55008))/1. Let o = 1721/3438 - y. Find a such that 0 - 2*a**2 - o*a**4 + 0*a - 2*a**3 = 0.
-2, 0
Factor 1600 - 320/7*b - 52/7*b**2 + 2/7*b**3.
2*(b - 20)**2*(b + 14)/7
Let h be (5/((-60)/(-63)))/((-3)/(-44)). Suppose 0 = -a + 5*t + 2, 3*a + 81*t - h*t - 6 = 0. Factor 15/2*d - 2 + 2*d**a.
(d + 4)*(4*d - 1)/2
Let t = 8084 - 8082. Let p(m) be the second derivative of 23*m - 3/4*