- 2/9*i**4 = 0.
0, 1, 2
Let b(n) be the first derivative of n**4/7 + 20*n**3/21 + 33*n**2/14 + 18*n/7 - 33. Factor b(t).
(t + 2)*(2*t + 3)**2/7
Let y(l) be the first derivative of -1/90*l**5 - l**3 + 0*l - 1/2*l**2 + 1/6*l**4 - 4. Let i(d) be the second derivative of y(d). Factor i(o).
-2*(o - 3)**2/3
Let m(z) be the second derivative of z**6/72 - z**5/12 - 8*z**3/3 - 15*z. Let h(a) be the second derivative of m(a). Solve h(f) = 0.
0, 2
Suppose -14*s**4 + 0*s + 0 + 72/5*s**2 - 6/5*s**5 - 192/5*s**3 = 0. What is s?
-6, 0, 1/3
Suppose 0*h + 0 - 2/11*h**4 - 512/11*h**2 - 64/11*h**3 = 0. What is h?
-16, 0
Let k = -48 - -52. Solve 2*m**2 + 1417*m - m**k - 1 - 1417*m = 0 for m.
-1, 1
Let n(i) = -5*i**3 + 26*i**2 + 103*i - 26. Let q(m) = -m**3 + m**2 + m + 1. Let u(v) = 4*n(v) - 4*q(v). Let u(z) = 0. Calculate z.
-3, 1/4, 9
Let u(r) be the first derivative of r**7/630 + r**6/360 - r**5/60 - 5*r**4/72 - r**3/9 + 11*r**2/2 + 1. Let f(m) be the second derivative of u(m). Factor f(x).
(x - 2)*(x + 1)**3/3
Let j(k) = -2*k**2 - 29*k - 21. Let g be j(-13). Factor 42*a**4 - 38*a + 33*a**4 + 122*a + 24 - g*a**2 - 165*a**3.
3*(a - 2)*(a - 1)*(5*a + 2)**2
Factor 80/3*b - 26/3*b**2 - 24 + 2/3*b**3.
2*(b - 9)*(b - 2)**2/3
Let s be (-68)/(-9) - (-120)/270. Let w(o) be the first derivative of 0*o - 8/5*o**5 + s*o**2 + 10 - 7*o**4 - 16/3*o**3. Determine b, given that w(b) = 0.
-2, 0, 1/2
Let h = -96 - -99. Suppose 5 + 4 = 3*r + 3*p, 3 = h*p. Factor 3/2*x**5 + 0*x + 0 - 1/2*x**r + 1/2*x**3 + 5/2*x**4.
x**2*(x + 1)**2*(3*x - 1)/2
Suppose 2*r = 2*o - 3 + 11, o - 3*r + 14 = 0. Suppose -y = -2 - o. Let 0*q**3 - 9*q**2 - 20*q + 26*q + 3*q**y = 0. What is q?
0, 1, 2
Let p = -17 - -17. Factor f**4 + p*f**4 - 5*f**3 + 3*f**3 + 4*f**3 + f**2.
f**2*(f + 1)**2
Factor -4/3*j**2 + 4*j - 8/3.
-4*(j - 2)*(j - 1)/3
Let p(v) = v**3 + v**2 + v + 1. Let f(h) = -4*h**4 - 68*h**3 - 56*h**2 + 92*h - 12. Let k(o) = -f(o) - 12*p(o). Factor k(l).
4*l*(l - 1)*(l + 2)*(l + 13)
Let j = 30 - 17. Let o be j/(390/72)*2/6. Factor -o*y**3 - 2/5*y**4 + 4/5*y + 2/5 + 0*y**2.
-2*(y - 1)*(y + 1)**3/5
Factor 0 + 16 - 3*b**3 - 4*b + b**3 - 10*b**2 + 0*b**3.
-2*(b - 1)*(b + 2)*(b + 4)
Let s = -19 + 19. Suppose -u + 3 + 1 = -3*o, s = 4*u - 16. Factor 2/5*a**4 + 0 - 2/5*a**3 + 0*a + o*a**2.
2*a**3*(a - 1)/5
Let w = 136 + -119. Factor 16*q**5 - 38*q**5 + 9*q**2 + w*q**5 + q**2 + 5*q - 10*q**4.
-5*q*(q - 1)*(q + 1)**3
Let c be (0/2 - 3) + 2 + 1. Let q(i) be the third derivative of -i**2 + c*i + 0*i**3 + 2/45*i**5 - 1/36*i**4 + 0 - 1/45*i**6. What is v in q(v) = 0?
0, 1/2
Let w be (407/22 - 13) + -7 + 2. Find b, given that 1/2*b**3 - 1/6*b**2 - w*b + 1/6*b**4 + 0 = 0.
-3, -1, 0, 1
Let l(t) = 5*t**3 - 11*t**2 + 4*t + 24. Let g(i) = i**2 + i + 1. Let r be (2 + (-16)/6)*(-6 - 0). Let p(v) = r*g(v) - l(v). Solve p(b) = 0 for b.
-1, 2
Let r(z) = -10*z**3 + 61*z**2 - 85*z - 117. Let h(y) = -5*y**3 + 30*y**2 - 42*y - 58. Let q(g) = 11*h(g) - 6*r(g). Factor q(x).
(x - 4)**2*(5*x + 4)
Factor 167 - 8*i**2 + 72*i - 7 + 9*i**2 - 2*i**2 - 3*i**2.
-4*(i - 20)*(i + 2)
Let p = -25542 - -127758/5. Find w, given that 22/5*w**3 - p*w**2 - 4/5 + 6*w = 0.
2/11, 1
Determine u so that 5*u + 29*u - 2*u**2 + 0*u + 0*u**2 = 0.
0, 17
Solve -97 + 3*f**2 - 85 + 146 - 3*f = 0 for f.
-3, 4
Let n be 1/(-5)*0 + 0. Let u(m) be the third derivative of -1/20*m**5 + 0*m**3 + 0*m + 1/12*m**4 + n + 2*m**2. Factor u(i).
-i*(3*i - 2)
Suppose 48*y + 44*y = 89*y. Let d(f) be the first derivative of 7 + 0*f**3 + y*f**5 - 1/13*f**2 + 0*f + 1/13*f**4 - 1/39*f**6. Suppose d(p) = 0. What is p?
-1, 0, 1
Let d(o) = -4*o**3 - 2*o**2. Let y be d(0). Let w be ((-2)/8)/(18/(-24)). What is c in -w*c**4 + 0*c - 1/3*c**5 + 1/3*c**3 + 1/3*c**2 + y = 0?
-1, 0, 1
Let p(b) be the first derivative of 2/3*b**2 - b**4 - 16/9*b**3 + 8/3*b - 1. What is s in p(s) = 0?
-1, 2/3
Let b(s) be the first derivative of 0*s + 0*s**2 + 1/3*s**3 - 5. Determine v, given that b(v) = 0.
0
Factor -12 + 3/5*f**4 - 171/5*f**2 + 51/5*f**3 + 177/5*f.
3*(f - 1)**3*(f + 20)/5
Let a(c) be the third derivative of 4*c**3 - 34*c**2 + 1/80*c**6 + 0*c + 9/40*c**5 + 0 + 3/2*c**4. Factor a(y).
3*(y + 1)*(y + 4)**2/2
Factor 19 - t**2 - 8*t**2 - 7 - 3*t**3.
-3*(t - 1)*(t + 2)**2
Factor -70*b - 285/4*b**2 - 5/4*b**3 + 0.
-5*b*(b + 1)*(b + 56)/4
Let x(b) = b**2 - 1. Let d be x(2). Suppose 0 = 5*g - 17 - d. Determine m, given that -m + 0*m + 2*m**2 - 2*m**g + m + m**5 - m = 0.
-1, 0, 1
Let t = -5 + 6. Suppose 3*g - 16 = -t. Solve -4*v**5 + 6*v**g + v**5 - 3*v - v**2 + 6*v**4 - 5*v**2 = 0 for v.
-1, 0, 1
Let k(f) be the first derivative of 0*f - 1/4*f**6 + 0*f**3 - 3/4*f**2 + 0*f**5 - 6 + 3/4*f**4. Solve k(m) = 0.
-1, 0, 1
Let c = -3/641 - -689/10256. Let j(n) be the first derivative of 0*n**3 - c*n**4 + 2 + 0*n**2 + 0*n. Suppose j(g) = 0. What is g?
0
Find o, given that -38/5*o**2 - 6/5*o**4 + 8/5 + 28/5*o**3 + 8/5*o = 0.
-1/3, 1, 2
Factor -12434*s**3 + 50 - 10*s**2 - 5*s + 12433*s**3 + 2*s**2.
-(s - 2)*(s + 5)**2
Let p(m) = -85*m - 192 - 298 - 25*m**2 + 635. Let j(h) be the first derivative of 2*h**3/3 + 7*h**2/2 - 12*h - 2. Let a(v) = 35*j(v) + 3*p(v). Factor a(z).
-5*(z - 1)*(z + 3)
Let l(d) be the first derivative of d**6/12 - 12*d**5/5 + 8*d**4 - 3*d**3 - 65*d**2/4 + 21*d - 398. Solve l(q) = 0 for q.
-1, 1, 2, 21
Factor -182405 - 10*y**2 + 1910*y - 116*y**2 + 121*y**2.
-5*(y - 191)**2
Find i such that 0*i + 0 + 2/7*i**5 + 16/7*i**2 + 24/7*i**3 + 12/7*i**4 = 0.
-2, 0
Let v(u) be the first derivative of u**8/420 - u**7/70 + u**6/45 + 8*u**3/3 - 7. Let g(f) be the third derivative of v(f). Factor g(o).
4*o**2*(o - 2)*(o - 1)
Let d(s) be the first derivative of -s**5/270 + s**3/27 + 9*s**2/2 - 34. Let b(h) be the second derivative of d(h). Factor b(q).
-2*(q - 1)*(q + 1)/9
Let m(f) be the first derivative of 0*f + 6/85*f**5 + 1/51*f**6 + 2/51*f**3 + 3/34*f**4 + 2 + 0*f**2. Factor m(t).
2*t**2*(t + 1)**3/17
Let i = 14819928/23023 + 55/2093. Let v = i + -643. Factor -2/11*p**4 - 8/11*p**3 - v*p - 2/11 - 12/11*p**2.
-2*(p + 1)**4/11
Suppose -7*n + 6*n = -5. Suppose 3*k - n = 4. Determine t so that 9*t**3 - 4*t**3 - 24 + 60*t + 16*t**k - 3*t**4 - 54*t**2 = 0.
1, 2
Determine z so that 5*z**3 + 47*z**4 - 49*z**4 + 7*z**3 - 4*z**5 + 14*z**2 + 8*z + 2*z - 6*z = 0.
-1, -1/2, 0, 2
Factor -9/2*m**3 + 9/2*m - 3/2*m**2 + 0 + 3/2*m**4.
3*m*(m - 3)*(m - 1)*(m + 1)/2
Let -4/3*g**3 + 2/3*g**4 + 2/3*g**5 + 0 + 0*g + 0*g**2 = 0. What is g?
-2, 0, 1
Let j(l) be the second derivative of l**4/3 - 76*l**3/3 + 144*l**2 + 73*l. Factor j(z).
4*(z - 36)*(z - 2)
Let u(r) be the second derivative of -r**6/15 + 6*r**5/5 + r**4/6 - 4*r**3 - 46*r. Let u(c) = 0. What is c?
-1, 0, 1, 12
Let q(o) = 44*o**3 - 176*o**2 + 192*o - 116. Let x(u) = -8*u**3 + 32*u**2 - 35*u + 21. Let d = 41 + -69. Let v(n) = d*x(n) - 5*q(n). Factor v(y).
4*(y - 2)*(y - 1)**2
Let f(h) = -h. Suppose 2*c + 4*q = -12, -15 = 5*c + 3*q + 1. Let y be f(c). Suppose -26*j**4 - 2*j**y + 30*j**4 - 2*j**2 = 0. Calculate j.
-1, 0, 1
Let p be (70/(-88) - 24/(-44))*-8. Let i(w) be the first derivative of -3/10*w**p + 4/15*w**3 + 9 - 1/5*w. Factor i(g).
(g - 1)*(4*g + 1)/5
Let n(d) be the second derivative of 0 - 23*d + 0*d**2 + 0*d**3 + 0*d**4 - 1/90*d**5. Factor n(y).
-2*y**3/9
Let f(w) be the second derivative of 5/14*w**7 + 0 + 2*w - 6/5*w**6 - 3/20*w**5 + 3*w**4 - 2*w**3 + 0*w**2. Find c such that f(c) = 0.
-1, 0, 2/5, 1, 2
Let c(w) be the third derivative of w**6/30 - 4*w**5/3 + 50*w**4/3 + 130*w**2. Find x such that c(x) = 0.
0, 10
Let h(o) = -11*o - 35. Let c(i) = -i. Let u(q) = -6*c(q) + h(q). Let r be u(-7). Suppose -2*k**3 + 0*k**4 + 0*k - 4/3*k**2 + r + 2/3*k**5 = 0. Calculate k.
-1, 0, 2
Let m(y) be the first derivative of -3*y**5/10 + 5*y**4/4 - y**3/6 - 3*y**2/2 + 70. Factor m(j).
-j*(j - 3)*(j - 1)*(3*j + 2)/2
Let y(t) be the third derivative of 5*t**8/112 - t**7/6 - t**6/4 + 409*t**2. Factor y(b).
5*b**3*(b - 3)*(3*b + 2)
Let x = -24 - -26. Find i such that -45 - 8*i**x + 3*i**2 + 8*i + 49 = 0.
-2/5, 2
What is z in 5/3 + 15/2*z - 25/6*z**2 = 0?
-1/5, 2
Suppose 0 = -3*z - 4 + 10. Let t = 20311/11430 - -1/1270. Suppose -t*q - 2/9*q**z - 32/9 = 0. Calculate q.
-4
Let l(x) be the first derivative of -3*x**4/11 + 50*x**3/11 - 156*x**2/11 + 120*x/11 - 63. Suppose l(c