+ 0 - 2/13*r**5 + 6/13*r**4 = 0. What is r?
0, 1
Suppose 5*y - 70 = -2*m, -y = -6*y + 20. Suppose 5*z - m = -0*z. Factor k**2 + k + 2*k**5 - 13*k**2 - 20*k**4 - 8*k**z - 3*k - 24*k**3.
-2*k*(k + 1)**3*(3*k + 1)
Let q = -2462 + 17236/7. Solve 20/7*c + 50/7 + q*c**2 = 0.
-5
Let b(t) be the first derivative of -t**7/420 - 12*t**3 - 31. Let g(w) be the third derivative of b(w). Factor g(l).
-2*l**3
Let v(d) be the second derivative of -d**8/1680 + d**7/630 + d**6/180 - d**5/30 - 11*d**4/12 + d. Let p(i) be the third derivative of v(i). Factor p(o).
-4*(o - 1)**2*(o + 1)
Let x(v) be the third derivative of -165*v**7/28 - 193*v**6/24 - 89*v**5/30 + v**4/6 - 213*v**2. Factor x(k).
-k*(5*k + 2)**2*(99*k - 2)/2
Solve 155/4*i**2 + 5*i**3 + 0 - 10*i = 0 for i.
-8, 0, 1/4
Let z(w) be the second derivative of -w**7/3780 + w**6/810 + w**5/108 - w**4/18 + 11*w**3/2 + 30*w. Let r(t) be the second derivative of z(t). Factor r(s).
-2*(s - 3)*(s - 1)*(s + 2)/9
Let 0 - 2/3*n**5 + 2*n**4 - 22/3*n**2 + 4*n + 2*n**3 = 0. Calculate n.
-2, 0, 1, 3
Let b(l) = -4*l - 5*l**2 + 0*l**2 + 2*l**2 - 1. Let h(j) be the first derivative of -j**3/3 + j - 8. Let i(w) = b(w) - 2*h(w). Factor i(s).
-(s + 1)*(s + 3)
Let k(j) be the first derivative of 9/5*j + 3/5*j**2 + 9 - 1/5*j**3. Factor k(n).
-3*(n - 3)*(n + 1)/5
Let x(k) = 9*k**4 + 15*k**3 + 10*k**2 + 4*k + 8. Let g(c) = 100*c**4 + 165*c**3 + 110*c**2 + 45*c + 90. Let l(j) = -4*g(j) + 45*x(j). Factor l(q).
5*q**2*(q + 1)*(q + 2)
Let z be (1/(-3))/((-10)/780). Factor -15*c**2 - 8*c**3 - 16*c**4 - 1 + 6*c**4 + 8*c + z*c**4.
(c - 1)*(c + 1)*(4*c - 1)**2
Let x(t) = -t**2 + t - 1. Let p(y) = -y**2 + 2*y - 7. Let i(s) = p(s) - 3*x(s). Let q be i(2). Factor -3/2 - 13/2*u - 2*u**q.
-(u + 3)*(4*u + 1)/2
Let a(k) be the first derivative of 2 - 2/3*k**3 - 6*k - 4*k**2. Find i such that a(i) = 0.
-3, -1
Let i be (-13)/(-2) - (-6)/(-4) - 3. Find p, given that 82 - 88 - 4*p - 4*p - i*p**2 = 0.
-3, -1
Let x(d) be the second derivative of -1/7*d**7 + 1/10*d**6 + 24*d - d**3 + 1/4*d**4 + 0 + 9/10*d**5 + 0*d**2. Suppose x(f) = 0. What is f?
-1, 0, 1/2, 2
Suppose -9*n = -13*n + 8. Suppose n*g - 2 = y, -7*g = -3*g + 5*y - 18. Factor -15/4*k + 3*k**g - 3/4*k**3 + 3/2.
-3*(k - 2)*(k - 1)**2/4
Determine m so that 0 - 2/7*m**3 - 2/7*m**4 + 12/7*m**2 + 0*m = 0.
-3, 0, 2
Let c = 2/235 - -4694/705. Let t(u) be the first derivative of -10*u**2 + 3 - 5/4*u**4 + 0*u + c*u**3. Factor t(v).
-5*v*(v - 2)**2
Let m = 5 - -1. Let n(l) = l**3 - l**2 + l. Let b(p) = 4*p**3 - p**2 + 3*p. Let y(q) = m*n(q) - 2*b(q). Suppose y(j) = 0. Calculate j.
-2, 0
Let z = -89 - -89. Let v be (z/(-2))/(1*(0 + -1)). Suppose v*b**2 + 0 + 0*b - 2/5*b**4 - 2/5*b**3 = 0. What is b?
-1, 0
Let j(z) be the second derivative of 1/7*z**4 + 5/14*z**3 + 0 + 36*z + 3/14*z**2. Suppose j(g) = 0. What is g?
-1, -1/4
Let u(w) be the first derivative of -w**7/210 + w**5/100 + 24*w - 36. Let p(v) be the first derivative of u(v). Factor p(q).
-q**3*(q - 1)*(q + 1)/5
Let k(h) = -h**3 + 16*h**2 + 35*h + 15. Let b be k(18). Let c be b/6 - (-14)/12. Let -c*n**2 - 2/3*n + 0 = 0. What is n?
-1, 0
Let m(h) = -2*h**3 + 5*h + 2. Let s be m(0). Solve 2*b**s - 2/5*b**3 - 18/5 - 6/5*b = 0.
-1, 3
Let v = -722 + 724. Let r(l) be the first derivative of 1 + l**v - 2/3*l**3 + 4*l. What is p in r(p) = 0?
-1, 2
Let b be (-5 - 8/((-1080)/639))*-93. Determine w, given that b*w**4 + 664/5*w**3 - 16/5 - 64/5*w - 168*w**5 + 132/5*w**2 = 0.
-1/2, -2/5, -2/7, 1/3, 1
Let 360 - 116522*u**2 + 368*u + 116525*u**2 - 5*u = 0. Calculate u.
-120, -1
Let h(i) = 51*i**2 + 1076*i + 3888. Let w(o) = -96*o**2 - 2151*o - 7776. Let f(p) = -9*h(p) - 4*w(p). Factor f(c).
-3*(5*c + 36)**2
Let u(a) = -13*a**2 - 4*a**4 + 56*a**2 + 8*a**3 - 9*a**2 - 14*a**2 + 4*a. Let s(c) = 4*c**4 - 7*c**3 - 21*c**2 - 5*c. Let v(w) = -4*s(w) - 5*u(w). Factor v(f).
4*f**2*(f - 4)*(f + 1)
Let c be (1689*(-50)/(-15))/(3 - 1). Determine r, given that 2810*r**3 + 9*r - c*r**3 - 4*r = 0.
-1, 0, 1
Let k(a) = a**3 - 8*a**2 + 8*a + 3. Let w be k(7). Suppose -w*o + 4 = -8*o. Factor -n - 2*n + 4*n + n**2 + o*n - 4.
(n - 1)*(n + 4)
Let j(b) be the second derivative of -b**4/42 - 16*b**3/7 - 47*b**2/7 - b - 61. What is c in j(c) = 0?
-47, -1
Let a(k) be the second derivative of 0*k**2 + 0 - 1/20*k**4 - 10*k + 3/100*k**5 + 0*k**3. Factor a(g).
3*g**2*(g - 1)/5
Let t(j) be the first derivative of j**6/12 + 2*j**5/5 + j**4/4 - 2*j**3/3 - 3*j**2/4 + 107. Let t(b) = 0. What is b?
-3, -1, 0, 1
Factor -y**5 + 80 + 15*y**4 - 5*y**5 - 80*y**2 - 20*y**3 + 11*y**5.
5*(y - 2)*(y - 1)*(y + 2)**3
Let i(n) be the first derivative of 1/6*n + 1/24*n**4 + 14 - 1/18*n**3 - 1/12*n**2. Factor i(b).
(b - 1)**2*(b + 1)/6
Let n(m) be the first derivative of 9*m**4 - 18*m**2 - 11 - 5*m**3 + 27/5*m**5 - 12*m. Factor n(g).
3*(g - 1)*(g + 1)*(3*g + 2)**2
Let h be (-7 - -4)/3*-12. Let k be (-1)/(-4) - (21/h)/7. Find g, given that 9/7*g**4 + k + 3/7*g**2 + 0*g + 3/7*g**5 + 9/7*g**3 = 0.
-1, 0
Let s(z) be the first derivative of z**5/160 - z**4/32 + z**3/16 - z**2/16 + 4*z - 3. Let o(t) be the first derivative of s(t). Factor o(r).
(r - 1)**3/8
Suppose -6 + 2 = -2*l. Suppose 0*r = 4*r - 8. Determine w, given that 8*w**r - w + 7*w - 4 - 10*w**l + 0 = 0.
1, 2
Let k = 8 + -13. Let q(x) = 7*x**2 - 5*x + 4. Let v(o) = 8*o**2 - 4*o + 5. Let r(p) = k*q(p) + 4*v(p). Factor r(b).
-3*b*(b - 3)
Let b(q) be the first derivative of -3/5*q**5 + 0*q**2 - 40 + 0*q + q**3 + 0*q**4. Factor b(h).
-3*h**2*(h - 1)*(h + 1)
Factor -43/2*g**2 - 1/2*g**4 + 13/2*g**3 + 15/2*g + 36.
-(g - 8)*(g - 3)**2*(g + 1)/2
Let o be (11 - 19) + -7 + 15. Factor -2/9*z**3 + o + 4/3*z**2 + 0*z.
-2*z**2*(z - 6)/9
Let b(y) = 7*y**3 - 328*y**2 + 7262*y - 53238. Let r(k) = -15*k**3 + 655*k**2 - 14525*k + 106475. Let w(h) = 5*b(h) + 2*r(h). Factor w(o).
5*(o - 22)**3
Let l = 3/8842 + 44201/26526. Suppose 5/3*k + 10/3*k**2 - 10/3*k**3 - l + 5/3*k**5 - 5/3*k**4 = 0. What is k?
-1, 1
Let g be (-6)/(-60) - (-8)/20. Let f(w) be the second derivative of 0 - w**3 + g*w**4 + w**2 + w - 1/10*w**5. Determine z, given that f(z) = 0.
1
Let j(x) = -6*x**5 - 3*x**4 - 2*x**3 - 3*x**2 + 3*x + 1. Let o(t) = -t**5 - t**2. Let g(c) = j(c) - 5*o(c). Factor g(q).
-(q - 1)*(q + 1)**4
Suppose u = 2*f - 0*u - 7, -3 = -u. Find i such that -i + 0*i**3 - 3*i**f - 2*i + 0*i + 6*i**3 = 0.
-1, 0, 1
Let d(o) be the third derivative of o**7/840 - o**6/80 - o**4/24 - 7*o**2. Let q(i) be the second derivative of d(i). Let q(m) = 0. What is m?
0, 3
Let m be (-1*(-9)/(-150))/(7/(-35)). Let i(s) be the first derivative of 0*s**2 - 1 + 0*s + 2/25*s**5 + m*s**4 + 4/15*s**3. Factor i(z).
2*z**2*(z + 1)*(z + 2)/5
Suppose 0 = 2*f - 7*f + 5. Let p = f + 1. Find b, given that 8*b + 4*b - 8 + 18*b**2 + 11*b**2 - 33*b**p = 0.
1, 2
Factor 4/3 - 2*y + 2/3*y**2.
2*(y - 2)*(y - 1)/3
Let r be ((-256)/(-420) - 0) + 21/(-35). Let o(x) be the second derivative of 0*x**2 + 2/21*x**3 + 0 + 1/42*x**4 - 1/35*x**5 - 3*x - r*x**6. Solve o(t) = 0.
-2, -1, 0, 1
Let g(o) be the first derivative of o**4/24 + 25*o**3/18 - 13*o**2/6 + 21. Factor g(a).
a*(a - 1)*(a + 26)/6
Let w be 50/550*(-44)/(-6). Let 2/9*j**5 + 0 - w*j**3 + 0*j - 4/9*j**2 + 0*j**4 = 0. What is j?
-1, 0, 2
Factor 8*a**2 - 11*a**2 - 126 + 5*a**2 + 309*a + a**2 + 12*a**2.
3*(a + 21)*(5*a - 2)
Factor -15*g**3 - 12*g + 0 + 51/2*g**2 + 3/2*g**4.
3*g*(g - 8)*(g - 1)**2/2
Suppose -8*m + 13*m = -815. Let p = 163 + m. Factor 0*t - 4/5*t**3 + 4/5*t**5 - 4/5*t**4 + p + 4/5*t**2.
4*t**2*(t - 1)**2*(t + 1)/5
Let n(k) be the third derivative of -3*k**8/448 - k**7/105 + k**6/180 - 7*k**4/12 + 8*k**2. Let h(i) be the second derivative of n(i). Factor h(s).
-s*(3*s + 2)*(15*s - 2)
Factor -5476/3*x**3 - 4/3*x**5 + 0*x + 0*x**2 + 0 - 296/3*x**4.
-4*x**3*(x + 37)**2/3
Let o(a) = -2*a**3 - a**2 - a - 1. Let v(f) = -6*f**3 + 6*f**2 + 15*f. Let b(k) = -3*o(k) - v(k). Find i such that b(i) = 0.
-1, 1/4, 1
Suppose -3*r + 4 = -r. Suppose 2*d - d = r. Factor -23*v + 23*v + d*v**4.
2*v**4
Let s(w) = 18*w + 52. Let f(k) = k**2 + k - 8. Let a(u) = -2*f(u) + 2*s(u). Let a(b) = 0. Calculate b.
-3, 20
Let u be 2/4 + 858/44. Let t be 5/u + (-1)/4. Factor -1/4*p**4 + 1/4*p**2 + 1/2*p**3 - 1/2*p + t.
-p*(p - 2)*(p - 1)*(p + 1)/4
Suppose -2*h + 3 = -3*q - 2, 0 = q - 5*h + 19. 