. Calculate i.
-88, -1
Let j(c) be the second derivative of 0*c**2 + 0*c**3 + 1/15*c**4 + 0 - 1/10*c**5 + 3*c. Let j(v) = 0. Calculate v.
0, 2/5
Suppose 3 = 3*d - 0*d. Let l be -5 + (9 - 1) - d/1. Suppose -2/5 - 4/5*w - 2/5*w**l = 0. Calculate w.
-1
Factor 55/2*m - 1/2*m**3 + 14 + 13*m**2.
-(m - 28)*(m + 1)**2/2
Factor 1/3*a**2 + 2/3 - a.
(a - 2)*(a - 1)/3
Let p(d) be the third derivative of 37/30*d**5 + 30*d**2 + 1/5*d**7 + 41/60*d**6 + 0 + 5/4*d**4 + 0*d + 1/42*d**8 + 2/3*d**3. Factor p(b).
2*(b + 1)**3*(b + 2)*(4*b + 1)
Let s(c) be the first derivative of -6*c**5/11 - 43*c**4/11 - 62*c**3/11 + 50*c**2/11 + 48*c/11 - 183. Solve s(k) = 0 for k.
-4, -2, -1/3, 3/5
Solve -38*k**2 - 303*k**2 - 2023*k - 1456*k**2 - 2*k**5 + 8071*k - 3*k**2 - 3456 - 722*k**3 - 68*k**4 = 0.
-12, 1
Let g(x) = 3*x**4 - 12*x**3 - 6*x**2 - 12*x - 21. Let n(d) = -d**3 + d**2 + d - 1. Let z(s) = g(s) - 12*n(s). Factor z(r).
3*(r - 3)*(r + 1)**3
Let q = -1/24 - -7/24. Let b be ((-8463)/468 - -18) + 1/12. Let 0 + 0*m**3 - 1/4*m**2 + b*m + q*m**4 = 0. Calculate m.
-1, 0, 1
Let b(h) be the second derivative of h**5/70 - h**4/42 - 2*h**3/21 + 11*h. What is i in b(i) = 0?
-1, 0, 2
Let d be -4 - ((-32)/(-4))/(-1). Let o be (-1)/((d/(-6))/((-36)/(-27))). Find k such that 1/3*k**4 + k**3 - 1/3*k**5 + 0 - 1/3*k**o - 2/3*k = 0.
-1, 0, 1, 2
Let j(f) be the third derivative of -f**8/20160 + f**5/5 - 11*f**2. Let y(q) be the third derivative of j(q). Suppose y(m) = 0. Calculate m.
0
Let u(f) be the third derivative of -f**5/210 + f**4/7 - 32*f**3/21 + 92*f**2 + 3. Suppose u(l) = 0. What is l?
4, 8
Let j(t) be the second derivative of 15*t - 1/4*t**4 - 5/2*t**3 - 9*t**2 + 0. Determine u, given that j(u) = 0.
-3, -2
Let a(k) = -6*k**2 - 6*k + 3. Let m(c) = -c**3 - 7*c**2 - 6*c + 4. Suppose -3*f = -5*o - 29, -4*o + 2*f - 4*f - 10 = 0. Let u(b) = o*a(b) + 3*m(b). Factor u(y).
-3*y*(y - 2)*(y + 1)
Let l(m) be the first derivative of m**7/42 - m**6/24 - m**5/6 + 7*m**2/2 - 19. Let x(f) be the second derivative of l(f). Factor x(v).
5*v**2*(v - 2)*(v + 1)
Factor -2*u**2 - 2*u + 0*u**2 - 371 - 383 + 778.
-2*(u - 3)*(u + 4)
Let f(y) = -y**5 - 8*y**4 + 16*y**3 - 7*y**2 + 3*y - 3. Let z(l) = 8*l**4 - 14*l**3 + 6*l**2 - 2*l + 2. Let t(i) = 2*f(i) + 3*z(i). Factor t(k).
-2*k**2*(k - 2)*(k - 1)**2
Let w(m) be the third derivative of 0 + 2/135*m**5 + 0*m - 1/9*m**3 - 14*m**2 - 11/108*m**4. Let w(z) = 0. Calculate z.
-1/4, 3
Let s(k) be the second derivative of -k**5/10 + k**4 - 11*k**3/3 + 6*k**2 - 2*k + 52. Factor s(d).
-2*(d - 3)*(d - 2)*(d - 1)
Factor 58/3*b + 2/9*b**3 - 86/9 - 10*b**2.
2*(b - 43)*(b - 1)**2/9
Let p(x) be the second derivative of 5*x**7/21 - 2*x**6/15 - 3*x**5/2 + 8*x**4/3 - 4*x**3/3 - 14*x. Find c, given that p(c) = 0.
-2, 0, 2/5, 1
Factor -11 + 1/2*j**2 + 21/2*j.
(j - 1)*(j + 22)/2
Suppose 4*l - 15 = -l. Let d(s) = 11*s - 25*s + 15*s - s**l + 1. Let y(f) = -8*f**3 + 3*f**2 + 5*f + 4. Let m(j) = 4*d(j) - y(j). Determine u so that m(u) = 0.
-1/4, 0, 1
Let j(m) be the third derivative of m**8/36960 - m**6/330 + 4*m**5/165 + 2*m**4/3 - 11*m**2 - 2*m. Let o(s) be the second derivative of j(s). Factor o(p).
2*(p - 2)**2*(p + 4)/11
Let m(a) be the first derivative of 5*a**3/12 - 75*a**2/8 - 20*a + 82. Find v such that m(v) = 0.
-1, 16
Let z(x) be the third derivative of x**6/210 - x**5/35 + x**4/21 - 2*x**2 + 36*x. Solve z(g) = 0 for g.
0, 1, 2
Suppose 0*h - h - 14 = -3*x, 15 = -3*h. Let j(d) = d**2. Let l(s) = s**2. Let z(o) = x*j(o) - 5*l(o). What is r in z(r) = 0?
0
Let i be (-9)/(-24)*(-71 - -79). Factor 5/2*a - 2*a**2 + 1/2*a**i - 1.
(a - 2)*(a - 1)**2/2
Let i(p) = 3*p**5 - 11*p**4 + 40*p**3 + 11*p**2 - 43*p. Let c(a) = -2*a**5 + 6*a**4 - 20*a**3 - 6*a**2 + 22*a. Let t(m) = -11*c(m) - 6*i(m). Solve t(j) = 0.
-2, -1, 0, 1, 2
Let g(p) be the second derivative of -p**7/70 - 7*p**6/50 - 27*p**5/50 - p**4 - 4*p**3/5 + p - 125. Factor g(t).
-3*t*(t + 1)*(t + 2)**3/5
Let 1/4*t**2 + 121/4 - 11/2*t = 0. What is t?
11
Suppose -19*v = 6 - 63. Let u(h) be the third derivative of h**v + 0 + 3/8*h**4 + 4*h**2 + 1/20*h**5 + 0*h. Let u(w) = 0. What is w?
-2, -1
Suppose 2*d = -3*w - 0*w + 23, 3*w - 15 = 0. Factor a - 2*a**3 + 3*a**3 - 2*a**2 - 4*a + d*a.
a*(a - 1)**2
Let k(y) = -y**3 + 9*y**2 - 6*y - 72. Let i be k(12). Let x be i/66 + 6 - -4. Factor -x*r**2 - 18/11*r - 4/11.
-2*(r + 1)*(7*r + 2)/11
Let w(a) = -9*a**3 - 24*a**2 - 66*a - 68. Let g(v) = -v**3 - 3*v**2 - 8*v - 8. Let x(j) = -51*g(j) + 6*w(j). Find y, given that x(y) = 0.
-1, 0, 4
Let g be 28/6 + (-1 - (3 - 0)). Let z be (30/(-3))/(-4 + -5). Suppose 4/9*p - z*p**2 + g = 0. What is p?
-3/5, 1
Factor -2*h + 4/3*h**3 + 4/3*h**2 - 2*h**4 + 2/3*h**5 + 2/3.
2*(h - 1)**4*(h + 1)/3
Let k be (11 - 0/2)*-1*23. Let g = k - -2785/11. Find o, given that 0 - g*o**4 - 2/11*o**2 + 4/11*o**3 + 0*o = 0.
0, 1
Let f(x) be the third derivative of x**7/280 - 7*x**6/80 + 57*x**5/80 - 9*x**4/4 - 98*x**2. Let f(g) = 0. Calculate g.
0, 3, 8
Let n = 8 + -4. Determine j, given that -2 - n*j + 4*j**4 - 12*j**2 - 5*j**3 + 6*j**3 - 4*j - 3*j = 0.
-1, -1/4, 2
Let x(c) = c**3 + 8*c**2 - 10*c + 102. Let l be x(-10). Let 8/5 + 4/5*f**5 + 12/5*f - 16/5*f**3 + 0*f**4 - 8/5*f**l = 0. What is f?
-1, 1, 2
Let k(y) = 23*y**2 - 450*y + 3367. Let o(n) = 8*n**2 - 150*n + 1122. Let l(u) = -3*k(u) + 8*o(u). Solve l(r) = 0.
15
Let l be 5/(-50)*6*(8 + -11). Factor -l - 3/5*f**3 - 33/5*f - 19/5*f**2.
-(f + 3)**2*(3*f + 1)/5
Let q(l) be the second derivative of -1/15*l**4 - 1/30*l**3 - 1/210*l**7 + 0 - 2/75*l**6 - 3/50*l**5 - 5*l + 0*l**2. Determine k so that q(k) = 0.
-1, 0
Suppose -1/4*v**3 - 3 - 7/4*v**2 - 4*v = 0. What is v?
-3, -2
Let u be 1 + 1/(3 - 1)*-596. Let o be (36/u)/((-2)/3). Let -6/11*i - o*i**3 + 2/11 + 6/11*i**2 = 0. Calculate i.
1
Let s be ((-228)/(-1710))/((-4)/(-12)). Factor 0 + s*x**2 - 2/15*x**3 + 0*x.
-2*x**2*(x - 3)/15
Let v(p) be the third derivative of -p**5/30 - 17*p**4/3 - 67*p**3/3 + 171*p**2. Factor v(j).
-2*(j + 1)*(j + 67)
Let a(o) be the second derivative of o**5/40 + o**4/8 - o**3/3 - 10*o. Factor a(j).
j*(j - 1)*(j + 4)/2
Suppose -3*q = -0*q - 18. Let d = 10 - q. Suppose 6*w**4 + d*w**2 - 2*w**2 + 77*w**5 - 75*w**5 + 6*w**3 = 0. What is w?
-1, 0
Let u(z) be the second derivative of 1/24*z**4 + z + 9/4*z**2 + 0 - 1/2*z**3. Factor u(m).
(m - 3)**2/2
Let r(u) be the second derivative of 1/2*u**2 - 14*u + 0*u**3 + 0 - 1/48*u**4. Determine c so that r(c) = 0.
-2, 2
Let f = 12013/42 + -286. Let q(n) be the second derivative of 0 - 1/28*n**4 + 4*n + 3/140*n**5 + 0*n**2 + f*n**3 - 1/210*n**6. Factor q(v).
-v*(v - 1)**3/7
Let f(k) be the third derivative of -k**5/330 - k**4/132 + 10*k**3/11 - 129*k**2. Factor f(w).
-2*(w - 5)*(w + 6)/11
Let r = 247 + -243. Let q(b) be the first derivative of 23/22*b**r + 122/33*b**3 - 32/11*b**2 + 4 - 16/11*b**5 + 8/11*b - 16/33*b**6. What is c in q(c) = 0?
-2, 1/4, 1
Let m(n) be the third derivative of -n**8/100800 - n**7/3150 - n**6/225 + n**5/5 - 4*n**2. Let w(b) be the third derivative of m(b). Factor w(t).
-(t + 4)**2/5
Let k(p) be the first derivative of 5*p**6/6 + 8*p**5 - 95*p**4 + 590*p**3/3 + 375*p**2/2 - 630*p - 471. Determine b so that k(b) = 0.
-14, -1, 1, 3
Let s(f) be the third derivative of -f**8/168 - f**7/35 + f**6/60 + 11*f**5/30 + f**4 + 4*f**3/3 + 85*f**2. Factor s(x).
-2*(x - 2)*(x + 1)**3*(x + 2)
Factor 0 - 2/15*u**2 - 28/15*u.
-2*u*(u + 14)/15
Let k = 42 + -7. Let f = -17 + k. Find y such that -16*y**4 + 6*y**4 + 24*y**3 - f*y**2 - y + 7*y - 2*y = 0.
0, 2/5, 1
Let z be (-56 - -2)*((-25)/20 + 1)*1. Suppose -z*i**2 - 2 + 27/4*i**3 + 9*i = 0. What is i?
2/3
Let p be 12*5/30*15. Let a be (33/p - 1)/(8/32). Find w, given that 0*w**2 + 0 + 2/5*w**5 + 0*w + a*w**4 - 4/5*w**3 = 0.
-2, 0, 1
Let l = 17/900 - -12311/15300. What is j in 2/17*j**2 + 12/17 - l*j = 0?
1, 6
Let k = -15 + 17. Let l(w) be the first derivative of -w**k - 1/5*w**5 + 2 + 0*w**3 + 1/2*w**4 + w. Factor l(q).
-(q - 1)**3*(q + 1)
Let z(x) = -x**5 - x**4 - x**3 + x**2 - x. Let v(u) = -5*u**5 - 9*u**3 + 6*u**2 - 4*u. Let l(n) = -3*v(n) + 12*z(n). Factor l(d).
3*d**2*(d - 2)*(d - 1)**2
Let z(a) = -51*a + 15. Let u be z(-5). Let n = -265 + u. Suppose 0 + n*y + 5*y**4 - 15/2*y**2 - 15/2*y**3 = 0. Calculate y.
-1, 0, 1/2, 2
Let v = 15 + -13. F