 + 11 - 20*r. Let c(i) = 0. Calculate i.
1, 2
Suppose -j - 5 = -7. Factor -5*y + 0*y + 5*y - 6*y + y**j.
y*(y - 6)
Let k(g) be the third derivative of -g**5/5 - g**4/4 - g**3/8 + 160*g**2 - g. Let k(i) = 0. Calculate i.
-1/4
Let i(b) be the third derivative of 0*b - 10*b**2 + 1/20*b**4 - 1/150*b**5 + 4/15*b**3 + 0. Suppose i(j) = 0. What is j?
-1, 4
Let b(z) be the first derivative of -z**5/5 - 9*z**4/4 - z**3 + 37*z**2/2 - 24*z - 134. Solve b(i) = 0 for i.
-8, -3, 1
Factor -507/2*m**2 - 3/2 - 39*m.
-3*(13*m + 1)**2/2
Let y = 78 - 99. Let n be 40/(-60) - 38/y. Let n*v + 2/7*v**2 + 8/7 = 0. Calculate v.
-2
Let d be 3*-1 - (-1)/(-1). Let i = 9/2 + d. Factor 0*q - i*q**2 + 1/2.
-(q - 1)*(q + 1)/2
Suppose 625 = -20*q + 15*q. Let t = q + 129. Solve 24/5*r**t - 82/5*r**3 + 74/5*r**2 - 8/5*r - 8/5 = 0 for r.
-1/4, 2/3, 1, 2
Suppose 866*m - 26 = 853*m. Let w(z) be the third derivative of -11*z**m + 0*z + 0*z**3 + 0 - 5/8*z**4 - 1/24*z**6 + 1/42*z**7 - 5/12*z**5. Factor w(v).
5*v*(v - 3)*(v + 1)**2
Let x be 5/(-1 - -2) + (-760)/133 + 1. What is q in -x*q**2 - 6/7*q + 6/7*q**3 - 2/7*q**4 + 4/7 = 0?
-1, 1, 2
Let x be 28/(-4)*(-15)/((-5985)/(-6)). Factor 0 + x*f**2 + 0*f + 2/19*f**3.
2*f**2*(f + 1)/19
Let a(t) = -t**3 - 9*t**2. Let v be a(-9). Let y be (-899)/(-1015) - 6/10. Factor 4/7*k**2 + v - y*k**3 + 0*k.
-2*k**2*(k - 2)/7
Factor 11*r - 5*r + r - 3*r**2 - 157 + 153.
-(r - 1)*(3*r - 4)
Factor 44/5*z**2 - 24/5*z - 1/5*z**5 - 6*z**3 + 0 + 9/5*z**4.
-z*(z - 3)*(z - 2)**3/5
Let v(m) be the third derivative of -m**6/70 + m**5/30 + 11*m**4/84 - 2*m**3/21 - 615*m**2. Find q, given that v(q) = 0.
-1, 1/6, 2
Let d(p) be the first derivative of -15 - 4/5*p**2 + 0*p + 3/10*p**4 - 8/15*p**3. Let d(o) = 0. Calculate o.
-2/3, 0, 2
Factor -2/17*s**5 + 0*s + 0*s**2 + 0 - 72/17*s**3 + 24/17*s**4.
-2*s**3*(s - 6)**2/17
Let r be 27/(-18)*(-24)/9. Suppose 3*h = -2*y + 16, 5*y = 2*h - 5 + 26. Let 6/7*u**r + 8/7 + 8/7*u**3 - h*u**2 - 8/7*u = 0. What is u?
-2, -1, 2/3, 1
Let z be 4/(-32) + (-185)/88. Let l = z - -30/11. Factor -l + 1/4*u**2 + 1/4*u.
(u - 1)*(u + 2)/4
Let n(c) be the second derivative of c**6/80 + 7*c**5/80 - 5*c**4/96 + 2*c + 49. Factor n(b).
b**2*(b + 5)*(3*b - 1)/8
Let d(k) = k**3 - 3*k**2 + 2*k + 2. Let u be d(3). Factor 0*w**4 + 7*w**5 - 3*w**5 - u*w**4 - 4*w**3 + 8*w**2.
4*w**2*(w - 2)*(w - 1)*(w + 1)
Let f(r) be the third derivative of -37*r**2 + 0*r + 1/42*r**7 + 0*r**5 + 5/12*r**4 - 1/12*r**6 - 5/6*r**3 + 0. Factor f(l).
5*(l - 1)**3*(l + 1)
Factor 2*z**5 + 33*z - 11*z**4 - 31*z**4 + 3*z**5 - 102*z**2 + 108*z**3 + 4*z**5 - 6*z**5.
3*z*(z - 11)*(z - 1)**3
Let c(z) be the third derivative of z**8/70560 + z**7/4410 + z**6/840 + 31*z**5/60 + 16*z**2. Let b(t) be the third derivative of c(t). Solve b(x) = 0.
-3, -1
Factor 0 - 208/7*p - 2/7*p**2.
-2*p*(p + 104)/7
Let n = -77 - -79. Factor -3*w**3 + 1 + w**2 - n*w**4 - 7*w + 10*w + 3 - 3.
-(w - 1)*(w + 1)**2*(2*w + 1)
Let r(x) be the second derivative of x**9/5040 - x**8/2240 - 11*x**4/4 + 35*x. Let w(i) be the third derivative of r(i). Determine t so that w(t) = 0.
0, 1
Let v = -600 - -600. Let l(m) be the second derivative of 1/42*m**4 - 8*m + v + 0*m**2 + 2/21*m**3. Factor l(d).
2*d*(d + 2)/7
Let t = -149 - -154. Suppose t = -12*w + 29. Find v such that w*v + 2/5*v**3 - 4/5 - 8/5*v**2 = 0.
1, 2
Let w(p) = -3*p**2 + 67*p - 90. Let h(f) = 2*f**2 - 33*f + 45. Let r(x) = -7*h(x) - 3*w(x). Suppose r(k) = 0. What is k?
3
Let u = -18339/5855 + -4/3513. Let d = 10/3 + u. Factor d - 1/5*v**2 + 0*v.
-(v - 1)*(v + 1)/5
Let m = -55 + 59. Suppose 12*b + 6 - 3*b**2 + 7 - 2 + m = 0. Calculate b.
-1, 5
Let j be (-10)/8*(13 + 438/(-30)). Factor w**3 - 1/3*w**4 - w**j + 1/3*w + 0.
-w*(w - 1)**3/3
Let q(z) be the first derivative of z**5/15 - z**4/2 + 4*z**3/3 - 4*z**2/3 + 116. Find j, given that q(j) = 0.
0, 2
Let l(a) be the third derivative of 2*a**7/105 + a**6/30 - 2*a**5/15 - 163*a**2. What is f in l(f) = 0?
-2, 0, 1
Let p(o) be the second derivative of o**5/5 - o**3 + 10*o. Let d(y) = -9*y**3 - y**2 + 13*y. Let q(n) = 2*d(n) + 5*p(n). Determine z so that q(z) = 0.
-1, 0, 2
Let z(y) be the third derivative of -1/72*y**4 + 1/360*y**6 + 0*y**3 + 0*y + 0 + 1/180*y**5 - 1/630*y**7 - 43*y**2. Factor z(k).
-k*(k - 1)**2*(k + 1)/3
Let p(u) = 2 - 984*u + 987*u + 4 + 28. Let w be p(-10). Find g, given that 1/4*g + 0 + 1/2*g**2 - 1/4*g**5 + 0*g**3 - 1/2*g**w = 0.
-1, 0, 1
Suppose 0 = 4*t + 3*i - 24, t - 4 = -5*i + 2. Determine m, given that -t*m**2 + 0*m**2 + 2*m**2 + 4*m**4 = 0.
-1, 0, 1
Let f be (2 - 9) + (-70)/(-7). Determine i so that 0 + 2/7*i**f + 8/7*i**2 + 8/7*i = 0.
-2, 0
Let j(s) be the third derivative of -s**5/180 - s**4/12 - 4*s**3/9 - 4*s**2 - 25. Factor j(d).
-(d + 2)*(d + 4)/3
Suppose 10 = -4*i - 5*d, -67*d - 18 = -64*d. Suppose -2/13*b**i + 0*b + 0 + 6/13*b**3 + 0*b**4 + 4/13*b**2 = 0. What is b?
-1, 0, 2
Let w be ((-24)/60)/(1/(-30)). Suppose -4 = 4*v - w. Factor 0*l + 3/4*l**5 + 15/4*l**3 - 3*l**4 - 3/2*l**v + 0.
3*l**2*(l - 2)*(l - 1)**2/4
What is n in 3/2*n + 3/4*n**2 - 45/4 = 0?
-5, 3
Determine r, given that 142/3*r**3 + 12 + 44/3*r**4 + 5/3*r**5 + 208/3*r**2 + 47*r = 0.
-3, -1, -4/5
Let l = -41/37 - -257/666. Let c = l + 163/126. Let 2/7 + 2/7*q**2 + c*q = 0. Calculate q.
-1
Let y = -183287/7 + 26184. Factor -6/7*h**3 + y*h**4 - 8/7*h + 0 + 12/7*h**2.
h*(h - 2)**3/7
Let u(v) = 72*v + 650. Let n be u(-9). Factor -1/7*r**3 + 2/7 + 1/7*r - 3/7*r**n + 1/7*r**4.
(r - 2)*(r - 1)*(r + 1)**2/7
Let f(o) = 15*o + 37. Let a be f(-3). Let p be 22/a*(-2)/11. Solve -q + p + 1/2*q**2 = 0.
1
Suppose 2*b + 14 = -2*f - 3*b, 4 = -b. Suppose w + f*w = 180. Factor 5*p - 129*p**3 + 18*p**2 + 77*p**4 - 5*p**4 - 3 + w*p**3 + 4*p.
3*(2*p - 1)**3*(3*p + 1)
Let l(d) be the second derivative of -d**8/168 + d**7/21 - 3*d**6/20 + 7*d**5/30 - d**4/6 - d**2/2 - 3*d. Let i(m) be the first derivative of l(m). Factor i(u).
-2*u*(u - 2)*(u - 1)**3
Factor -22/3*d**2 - 8/3*d**3 - 1/3*d**4 - 8*d - 3.
-(d + 1)**2*(d + 3)**2/3
Let f be -3 - (2/(-4))/(2/12). Let 0 - 1/3*o**2 + 1/2*o**3 + f*o = 0. What is o?
0, 2/3
Determine r so that 10*r**3 + 107*r**5 - 103*r**5 + 22*r**3 - 20*r**4 - 16*r**2 = 0.
0, 1, 2
Let l(g) = 2*g - 11. Let q be l(7). Suppose 4 = -q*j + 5*j. Factor -3*k**j - 2*k - 4*k + 10*k + 6 - k.
-3*(k - 2)*(k + 1)
Factor -98*f**2 - 24*f - 149*f**2 - 3*f**3 + 229*f**2.
-3*f*(f + 2)*(f + 4)
Let l(x) = -14*x**3 - 5*x**2 - 11*x + 21. Let m(d) = 3*d**3 + d**2 + 3*d - 5. Let z(c) = 4*l(c) + 18*m(c). Factor z(y).
-2*(y - 1)**2*(y + 3)
Let o = 277/2 - 763/6. Factor 2/3*a**3 - 14/3*a**2 - o*a - 6.
2*(a - 9)*(a + 1)**2/3
Let g(t) = -t**2 + t + 1. Let p(k) = -4*k**2 + 16*k + 38. Let n(d) = -4*g(d) + 2*p(d). Suppose n(i) = 0. Calculate i.
-2, 9
Let -4/5*r**3 + 4/5*r**4 + 18/5 - 22/5*r**2 + 1/5*r**5 + 3/5*r = 0. What is r?
-3, -1, 1, 2
Solve 4/3*i**2 - 13/6*i + 1 - 1/6*i**3 = 0 for i.
1, 6
Factor -2/11*v**3 + 74/11*v + 52/11 + 20/11*v**2.
-2*(v - 13)*(v + 1)*(v + 2)/11
Let f(s) be the third derivative of 0 + 1/216*s**4 - 1/135*s**5 + 0*s**3 + 0*s + 3*s**2. Factor f(b).
-b*(4*b - 1)/9
Determine r, given that 3/2*r**4 + 27/2*r + 21/2*r**3 + 45/2*r**2 + 0 = 0.
-3, -1, 0
Factor 0*a**4 - 1/7*a + 0*a**2 + 2/7*a**3 + 0 - 1/7*a**5.
-a*(a - 1)**2*(a + 1)**2/7
Suppose -5/6*n**2 - 131/3*n - 52/3 = 0. Calculate n.
-52, -2/5
Let s be (8 - 9)/(1/(-2)). Factor 3 + 3*j - 5*j**3 + 0 + 0*j + s*j**3 - 3*j**2.
-3*(j - 1)*(j + 1)**2
Suppose 112/11*g**4 + 12/11 + 10/11*g - 10/11*g**3 - 124/11*g**2 = 0. What is g?
-1, -2/7, 3/8, 1
What is w in -60 + 0*w - 85*w + 22*w - 3*w**2 = 0?
-20, -1
Let o(d) be the first derivative of -3*d**4/4 - 20*d**3 - 57*d**2/2 - 354. Find t such that o(t) = 0.
-19, -1, 0
Let d be (1/2)/((-1)/(-6)). Let n be (-480)/(-264) - (-2)/11. Determine h so that h**3 + 2*h - 2*h**n + 2 + h**3 + 0*h**d - 4*h = 0.
-1, 1
Let b be ((-35)/28)/(35/(-168)). Let j(s) be the third derivative of 0*s**4 - 13*s**2 + 1/780*s**b + 0*s + 1/390*s**5 + 0*s**3 + 0. Let j(z) = 0. Calculate z.
-1, 0
Factor -614 + 4*o**2 + 6651 + 10263 + 568*o + 3864.
4*(o + 71)**2
Let p be (-2)/3 - (-4 + 3). Suppose 68*r = 5*d + 65*r - 12, -4 = 4*d + r. Find v, given that -p*v + d + 1/6*v**2 = 0.
0, 2
Let q(g) = g**2 - 1. Let p(x) = 8*x - 10. Suppose 0 = -10*w + 46 - 6. Let t(y) = w*