k**4 + 13*k**3 + 8*k.
-4*k*(k - 1)*(k + 1)*(7*k + 2)
Let i be ((-4)/(-6))/(20/12) + 56/20. What is t in -4/5 - i*t - 7/5*t**2 = 0?
-2, -2/7
Let x(f) be the third derivative of 1/540*f**6 + 0*f**4 - 7*f**2 + 0*f + 0 + 0*f**3 - 1/90*f**5. Determine z so that x(z) = 0.
0, 3
Let n be -2 + 0 + 15/3. Suppose 7 = n*z - 5. Determine r, given that 4*r**3 - z*r**4 - 13*r**2 + 5*r**2 - 4*r + 12*r**4 = 0.
-1, -1/2, 0, 1
Let h(q) be the third derivative of q**6/360 - 7*q**5/90 + 13*q**4/72 - 148*q**2. Determine v so that h(v) = 0.
0, 1, 13
Let o(n) be the first derivative of -n**7/4620 + n**6/1980 + n**5/660 - n**4/132 - n**3 + 7. Let a(v) be the third derivative of o(v). Factor a(s).
-2*(s - 1)**2*(s + 1)/11
Let r(f) be the first derivative of 2*f**5/75 - 21*f**4/10 + 294*f**3/5 - 3087*f**2/5 + 125. Factor r(n).
2*n*(n - 21)**3/15
What is g in -4 + 55 - 3*g**2 - 32 + 4*g**2 + 20*g = 0?
-19, -1
Let d(l) = 2*l - 130. Let f be d(9). Let w be ((-3)/12)/(14/f). Determine v so that 3*v + 0 - 3/2*v**w = 0.
0, 2
Let k = -170/3 + 70. Factor 0 + 35/3*x**2 + 5/3*x + k*x**5 + 30*x**3 + 100/3*x**4.
5*x*(x + 1)*(2*x + 1)**3/3
Let z = -168933/4 - -1824475/44. Let q = -767 - z. Suppose q*k**3 - 16/11*k + 8/11 - 14/11*k**2 = 0. What is k?
-1, 2/5, 2
Let l be ((-812)/480)/(-7) + 0. Let v = -1/24 + l. Factor 1/5*c**4 + 0*c - v*c**2 + 0*c**3 + 0.
c**2*(c - 1)*(c + 1)/5
Let r(z) be the second derivative of 0*z**2 - 1/3*z**3 + 1/54*z**4 + 0 - 14*z. Find q, given that r(q) = 0.
0, 9
Let k = -76787/17 - -4517. Determine r, given that 0*r + 0*r**2 + 0 - k*r**3 + 2/17*r**4 = 0.
0, 1
Factor a - 1/9*a**2 + 10/9.
-(a - 10)*(a + 1)/9
Let a = 132 - 24. Factor 7*i**2 + 36*i - 13*i**2 + 9*i**2 + a.
3*(i + 6)**2
Let a(m) be the second derivative of -m**4/72 + 3*m**3/4 - 23*m**2/3 + m + 636. Factor a(t).
-(t - 23)*(t - 4)/6
Let f(u) = -u**3 - 14*u**2 - 3*u - 39. Let o be f(-14). Let g(v) be the first derivative of -9 + 2/11*v**2 + 6/11*v - 2/33*v**o. Determine d so that g(d) = 0.
-1, 3
Let n be (-2 - (-10)/6)/(9/27). Let i be (-5 + 7)/(18 + n). Find a, given that 8/17*a - i*a**2 - 8/17 = 0.
2
Factor 2519 + 4292 - 216*q - 710 - 269 + 2*q**2.
2*(q - 54)**2
Determine o so that 2/7*o**4 + 6912/7*o**2 + 110592/7*o + 663552/7 + 192/7*o**3 = 0.
-24
Suppose 3*z - 32 = -5*z. Let h(v) be the first derivative of 2 - 1/2*v**2 + 0*v**3 + 0*v + 1/4*v**z. Factor h(r).
r*(r - 1)*(r + 1)
Let 1/6*w**3 + 0*w + 0 + 0*w**2 - 1/6*w**4 = 0. Calculate w.
0, 1
Suppose -9*n = -5*r - 4*n + 40, 2*r + 4 = -2*n. Let f(p) be the first derivative of 15/8*p**2 - 5/12*p**r + 5 + 5*p. Let f(q) = 0. What is q?
-1, 4
Factor -1/8*f**2 - 11/8 + 3/2*f.
-(f - 11)*(f - 1)/8
Let a(u) = 4*u**2 - 11*u + 7. Let w(f) = -f**2 + 1. Let n(o) = -a(o) - 3*w(o). What is q in n(q) = 0?
1, 10
Factor -25/2 + 5*n - 1/2*n**2.
-(n - 5)**2/2
Let s(k) be the second derivative of -k**6/10 - 3*k**5/20 + 356*k. Factor s(n).
-3*n**3*(n + 1)
Suppose g - 5*r = -g + 16, 0 = -5*r - 20. Let f be (1/3 - (-28)/15) + g. Factor f*v**3 + 3/5*v + 3/5*v**2 + 1/5.
(v + 1)**3/5
Let q(k) be the first derivative of 21/8*k**4 - 9/4*k**2 - 13/2*k**3 + 27*k - 3/10*k**5 + 25. Determine g, given that q(g) = 0.
-1, 2, 3
Let a(h) be the third derivative of -h**2 + 0*h**3 + 1/285*h**5 + 5 + 1/1140*h**6 + 0*h - 1/76*h**4. Factor a(g).
2*g*(g - 1)*(g + 3)/19
Let m(c) be the second derivative of c**6/720 - c**5/120 + 7*c**3/3 - 6*c. Let a(t) be the second derivative of m(t). Find g such that a(g) = 0.
0, 2
Let a(p) = 15*p**3 - 90*p**2 - 15*p + 90. Let h be (-1)/1*4*18/(-24). Let k(x) = -2*x**3 + 13*x**2 + 2*x - 13. Let u(j) = h*a(j) + 20*k(j). Solve u(l) = 0.
-1, 1, 2
Let l(x) = 5*x**2 - 40*x + 84. Suppose 0 = 22*r - 23*r + 25. Let m(j) = 30*j**2 - 240*j + 505. Let a(u) = r*l(u) - 4*m(u). Factor a(y).
5*(y - 4)**2
Let m = -8248 + 8251. Let -2/13*k**m + 0*k + 4/13*k**2 + 0 = 0. Calculate k.
0, 2
Let m be (-858)/715 + 69/45. Factor -m*g**3 - 11/3*g**2 + 12 - 8*g.
-(g - 1)*(g + 6)**2/3
Let u(d) be the second derivative of 1/28*d**4 + 0 + 44*d + 1/14*d**3 + 0*d**2. Suppose u(j) = 0. Calculate j.
-1, 0
Let i(j) be the first derivative of j**4/4 + 3*j**3 - j**2/2 - 3*j - 1. Let r be i(-9). Find d, given that 6*d**2 - r*d**3 + 0*d + 0*d + 9*d**3 + 3*d = 0.
-1, 0
Let t(s) be the first derivative of -s**6/24 - 3*s**5/10 + 7*s**4/16 - 44. Factor t(b).
-b**3*(b - 1)*(b + 7)/4
Let m(v) = -40*v. Let b be m(-1). Let k = b - 38. Factor -50/3*o**k - 2/3*o**5 - 32/3*o - 14/3*o**4 - 8/3 - 38/3*o**3.
-2*(o + 1)**3*(o + 2)**2/3
Suppose -2*d = g - 12, -3*d = -5*d + 2. Factor -g*c**2 - 8*c**2 + 4 + 14*c**2.
-4*(c - 1)*(c + 1)
Let h be -4 - (-139 - 5)/4. Let -20*c**3 + 4*c**5 + c**5 - h*c + 37*c**2 - 16 - 19*c**4 + 43*c**2 + 2*c**5 = 0. Calculate c.
-2, -2/7, 1, 2
Let m(i) be the second derivative of 0 - 35*i - 1/18*i**6 + 5/18*i**4 + 5/126*i**7 - 1/6*i**5 + 5/18*i**3 - 5/6*i**2. Factor m(r).
5*(r - 1)**3*(r + 1)**2/3
Let u(j) = 4*j**2 + 6*j - 11. Let h be u(-4). Suppose -12*y = -53 + h. Determine l so that -2/11*l**3 - 4/11 + 0*l**y + 6/11*l = 0.
-2, 1
Suppose -4 = 11*s + 7. Let i be 2/s - 26/(-10). Factor -9/5*k + 6/5*k**2 + i + 3/5*k**5 + 6/5*k**3 - 9/5*k**4.
3*(k - 1)**4*(k + 1)/5
Suppose -3*o = 2*y - 1 - 23, -32 = 8*o. Factor -138/5*t**2 - 3/5*t**5 - y*t**3 - 27/5 - 99/5*t - 27/5*t**4.
-3*(t + 1)**3*(t + 3)**2/5
Let d be 16/28 - 39/(-42). Let x(j) be the first derivative of 3/5*j**5 - d*j**4 + 3*j**2 - 3*j + 2 + 0*j**3. Let x(c) = 0. Calculate c.
-1, 1
Suppose 4 = 4*x + 12. Let o(c) = -c**2 + 6*c - 5. Let r(m) = -m**2 + 3*m - 2. Suppose 2 - 22 = -4*z. Let w(l) = x*o(l) + z*r(l). Factor w(q).
-3*q*(q - 1)
Let w(i) be the second derivative of i**7/504 + i**6/72 + i**5/24 - i**4/6 - 13*i. Let h(f) be the third derivative of w(f). Determine t so that h(t) = 0.
-1
Find v such that 2/5*v**2 + 59858/5 + 692/5*v = 0.
-173
Let a(u) = -u + 17. Let k be a(14). Factor 6*f + 0*f + 10*f + 53*f**3 + 15*f**k + 16*f**4 + 80*f**2.
4*f*(f + 2)**2*(4*f + 1)
Let j(q) = 10*q + 12. Let n(c) = -c**2 - 28*c - 34. Let o(g) = 7*j(g) + 2*n(g). Find h, given that o(h) = 0.
-1, 8
Factor -30*b**3 - 90*b**2 + 0 - 5/2*b**4 + 0*b.
-5*b**2*(b + 6)**2/2
Let g(f) be the first derivative of f + 0*f**2 + 0*f**3 + 1/48*f**4 - 1/120*f**6 - 3 + 0*f**5. Let x(m) be the first derivative of g(m). Factor x(a).
-a**2*(a - 1)*(a + 1)/4
Solve 2 + 0*o**2 - 7/3*o + 1/3*o**3 = 0 for o.
-3, 1, 2
Let w(c) be the second derivative of -c**5/60 - c**4/3 + 13*c**3/18 + 2*c + 31. Factor w(n).
-n*(n - 1)*(n + 13)/3
Let b(t) be the third derivative of -t**5/50 - t**4/10 - 20*t**2. Factor b(p).
-6*p*(p + 2)/5
Let u(t) = -t**4 - t**3 + 2*t**2 - t - 1. Let a(h) = 35*h**4 - 673*h**3 - 246*h**2 + 383*h - 77. Let z(j) = -a(j) + u(j). Solve z(x) = 0.
-1, 1/3, 19
Let q(n) be the third derivative of -n**7/105 + n**6/60 + n**5/15 + n**2 + 15*n. Factor q(z).
-2*z**2*(z - 2)*(z + 1)
Let t = -4368 + 4370. Solve 4/9*n + 2/9 + 2/9*n**t = 0 for n.
-1
Let d(j) be the first derivative of -1/4*j**4 - 13 + 2/15*j**5 + 2/3*j**2 + 0*j - 4/9*j**3 + 1/18*j**6. Suppose d(w) = 0. What is w?
-2, 0, 1
Let d(a) be the second derivative of -1/21*a**7 + 0*a**3 + 0*a**2 + 0 + 39*a - 9/2*a**4 - 27/10*a**5 - 3/5*a**6. Determine w, given that d(w) = 0.
-3, 0
Let n(p) be the first derivative of -p**8/2520 + p**7/2520 + p**6/1080 - 11*p**3/3 - 28. Let m(b) be the third derivative of n(b). Factor m(k).
-k**2*(k - 1)*(2*k + 1)/3
Let x(y) = 30*y**3 - 365*y**2 + 300*y + 35. Let p(m) = 5*m**3 - 61*m**2 + 50*m + 6. Let r = -130 - -124. Let n(t) = r*x(t) + 35*p(t). Find k such that n(k) = 0.
0, 1, 10
Solve 0 + 0*j**3 - 8/7*j**2 + 6/7*j**4 - 2/7*j**5 + 0*j = 0.
-1, 0, 2
Let z be (-3 - 836/(-285))/(4/(-30)). Let q(g) = 3*g - 1. Let x be q(1). Factor 0 + 1/4*l**3 + z*l**x + 0*l.
l**2*(l + 2)/4
Let n(o) = -5*o**2 - 25*o + 1. Let k(g) be the second derivative of -g**2/2 - 39*g. Let q(m) = -k(m) - n(m). Let q(z) = 0. Calculate z.
-5, 0
Let k = -871 + 47909/55. Let x(w) be the first derivative of -16/11*w + 12/11*w**3 + k*w**5 + 7 - 4/11*w**2 - 1/2*w**4. Factor x(o).
2*(o - 2)**3*(2*o + 1)/11
Let g(j) = -j**3 - 6*j**2 - 5*j. Let y(a) = 15*a**3 - 16*a**3 + 11*a - 10*a. Let u(k) = g(k) + 2*y(k). Factor u(b).
-3*b*(b + 1)**2
Let q(w) = 2*w**2 + 3*w - 2. Let c be q(1). Let 11*r**3 + 45*r**2 + 30*r + 5 + 23