q*(3*q - 1)/7
Let 104/3*k + 1352/3 + 2/3*k**2 = 0. Calculate k.
-26
Let y(k) be the second derivative of -25*k + 4*k**2 + 0 + 1/5*k**5 - 2/3*k**3 - 2/3*k**4. Let y(n) = 0. Calculate n.
-1, 1, 2
Let l = 35 + -29. Determine v, given that -3*v - v + l*v**2 - 62*v**3 + 72*v**3 = 0.
-1, 0, 2/5
Suppose 10 = -2*v + 4*l, 8*v - 11*v - 4*l - 65 = 0. Let t be 111/35 - (-9)/v. Factor -27/7*o + t*o**2 - 3/7*o**3 + 12/7.
-3*(o - 4)*(o - 1)**2/7
Let j(i) be the second derivative of -i**5/45 - 54*i. Find w, given that j(w) = 0.
0
Find b such that 8223*b**3 + 16*b**4 + 98*b + 24 + 16*b**4 + 2*b**5 + 152*b**2 - 8115*b**3 = 0.
-12, -1
Let x(p) = p**3 - 15*p**2 - 37. Let n be x(15). Let d = 37 + n. Factor d - 2/3*i**4 - 2/3*i - 2*i**2 - 2*i**3.
-2*i*(i + 1)**3/3
Let l(x) be the third derivative of -x**7/10 + x**6/20 + 7*x**5/20 - x**4/4 - x**2 - 22. Find f, given that l(f) = 0.
-1, 0, 2/7, 1
Let s(l) = -14*l**2 + 46*l + 4. Let a(d) = -7*d**2 + 25*d + 2. Let v(g) = -5*a(g) + 3*s(g). Suppose v(t) = 0. What is t?
-1/7, 2
Factor 25*x - 22*x**2 + 138*x**3 + 128*x**3 + 10*x**4 - 231*x**3 - 48*x**2.
5*x*(x - 1)*(x + 5)*(2*x - 1)
Suppose -1 + 14/5*a + 3/5*a**2 = 0. What is a?
-5, 1/3
Let b(x) be the second derivative of 5*x**7/42 - x**6/6 - 5*x**5/4 + 25*x**4/12 + 10*x**3/3 - 10*x**2 - 73*x. Let b(p) = 0. What is p?
-2, -1, 1, 2
Let d(c) be the third derivative of -c**8/504 + c**7/90 + c**6/9 + 29*c**5/90 + 17*c**4/36 + 7*c**3/18 - 30*c**2 - 2*c. Suppose d(a) = 0. What is a?
-1, -1/2, 7
Let l be (18/(-8))/((-15)/(-80)). Let w be 4/3 - l/18. Suppose -2/9*s**3 + 0 + 0*s + 4/9*s**w + 2/3*s**5 - 8/9*s**4 = 0. Calculate s.
-2/3, 0, 1
Let w = 73636/3 + -24545. Factor 0 + 11/6*c**3 - 3/2*c**2 - w*c.
c*(c - 1)*(11*c + 2)/6
Let d = 104 + -104. Factor -6 - 8 + 3*p**2 + d + 11.
3*(p - 1)*(p + 1)
Let o(n) = 3*n - 28. Let p be o(18). Let u be (2/(-7) - p/(-42))*8. Factor -2*f**3 - u*f + 0 - 16/3*f**2.
-2*f*(f + 2)*(3*f + 2)/3
Suppose 5*i - 6 = -l, 1081*i - 2 = 1078*i - l. Factor 16/9*s**4 + 2/9*s**5 + 76/9*s**i + 50/9*s**3 + 56/9*s + 16/9.
2*(s + 1)**2*(s + 2)**3/9
Let p be ((-56)/(-6) - 9)/((-10)/(-24)). Solve 0 - p*l**2 + 2/5*l = 0.
0, 1/2
Suppose a + 23 = -5*z, 3*a + 2*z + 21 = 4. Let l(p) = 10*p**2 - 6*p. Let t(m) = -3 + 3 - m + 2*m**2. Let j(n) = a*l(n) + 16*t(n). Let j(h) = 0. What is h?
-1, 0
Factor -1/2*v**2 + 4*v + 10.
-(v - 10)*(v + 2)/2
Let n(b) = 3*b**2 - 12*b + 12. Let i(f) = f**2 - 4*f + 4. Suppose 2*c - o + 6 = 0, 4*c = 5*o - 2 - 4. Let m(r) = c*n(r) + 11*i(r). Factor m(v).
-(v - 2)**2
Let m(r) be the second derivative of -r**5/4 + 25*r**4/12 - 5*r**3 + 3*r + 1. Factor m(f).
-5*f*(f - 3)*(f - 2)
Let d(p) = -p**2 + 9*p - 20. Let w be d(5). Let q(g) be the first derivative of -1/5*g**5 + 3 + 0*g**2 + 0*g**4 + 1/3*g**3 + w*g. Factor q(l).
-l**2*(l - 1)*(l + 1)
Let z(q) be the third derivative of q**6/30 + 77*q**5/60 + 155*q**4/24 + 17*q**3/3 + 4*q**2 + 18. Factor z(o).
(o + 2)*(o + 17)*(4*o + 1)
Let b(p) = -p + 4. Let x be b(2). Let c = 28 - 25. Suppose -21 - 21 - 9*i**x + 48 + c*i = 0. Calculate i.
-2/3, 1
Let q(l) be the second derivative of 1/48*l**4 + 0 + 19*l + 1/4*l**3 + 9/8*l**2. Factor q(g).
(g + 3)**2/4
Let c(h) = -4*h + 7. Let w be c(1). Suppose -4*k - 12 = -3*g, -5*k = -2*g - 6*k - w. Factor -2/9*s**2 + 0 + g*s - 2/9*s**3 + 2/9*s**4 + 2/9*s**5.
2*s**2*(s - 1)*(s + 1)**2/9
Let d(j) be the first derivative of -4*j**5/11 + 21*j**4/22 - 4*j**2/11 + 74. Find t, given that d(t) = 0.
-2/5, 0, 1/2, 2
Suppose -g + 22 + 31 = -10*w, -2*g - w = -1. Factor 0*u + 1/4*u**5 + 1/4*u**g + 0 + 1/2*u**4 + 0*u**2.
u**3*(u + 1)**2/4
Suppose 203*o + 48*o = 204 + 298. Factor 1/8*s + 0 - 1/8*s**o.
-s*(s - 1)/8
Factor -4*g**3 - 3*g**2 - 198*g + 174*g + 14*g**2 + 17*g**2.
-4*g*(g - 6)*(g - 1)
Let i(l) = 11*l - 78. Let x be i(8). Let 5/2*n**4 + 0 + 20*n**2 - 25/2*n**3 - x*n = 0. What is n?
0, 1, 2
Suppose -3*l + 27 = -0. Suppose -l*j + 6*j + 27 = 0. Suppose -92*y**3 - 9*y**4 + 6*y**5 + 86*y**3 + j*y**5 = 0. Calculate y.
-2/5, 0, 1
Factor 0 - 13/7*z**2 - 18/7*z.
-z*(13*z + 18)/7
Suppose -4*b - 9 = 5*d - 3, -4 = b. Let 1/6*g**3 + 125/6 + 5/2*g**d + 25/2*g = 0. What is g?
-5
Let t be 92/22 + (-22)/121. Let g(p) be the second derivative of -10*p**3 + 3*p**2 - t*p + 0 - 243/40*p**5 + 117/8*p**4. Find l, given that g(l) = 0.
2/9, 1
What is c in 6 - 13/2*c**2 + 9/2*c**3 - 1/2*c**5 + 1/2*c**4 - 4*c = 0?
-3, -1, 1, 2
Suppose -2*o + 40 = 3*o. Let a(u) = -8 - 8*u - 2*u**3 + o + 8*u**2. Let n(m) = -2*m**3 + 8*m**2 - 8*m. Let g(z) = 3*a(z) - 2*n(z). Solve g(i) = 0 for i.
0, 2
Let b(v) be the second derivative of -v**5/20 - 7*v**4/3 + 57*v. Factor b(f).
-f**2*(f + 28)
Let x be (-78)/(-65)*-10 + 15. What is a in -8/7 + 10/7*a**4 + 2*a**x + 2/7*a**5 - 16/7*a - 2/7*a**2 = 0?
-2, -1, 1
Let s(k) be the first derivative of -k**7/840 - k**6/360 + k**5/60 - 11*k**3/3 + 18. Let j(y) be the third derivative of s(y). Let j(t) = 0. Calculate t.
-2, 0, 1
Factor -2/11*z**2 - 42/11 + 4*z.
-2*(z - 21)*(z - 1)/11
Let d(j) be the third derivative of -j**5/660 - 125*j**4/264 - 5*j**2 - 46. Factor d(w).
-w*(w + 125)/11
Let g = -48971 - -48974. Factor -g*q**2 - 15/4*q - 3/2 - 3/4*q**3.
-3*(q + 1)**2*(q + 2)/4
Let s(h) be the third derivative of -35/12*h**4 - 19*h**2 + 0 - 5*h**3 - 23/24*h**5 - 1/84*h**7 - 1/6*h**6 + 0*h. Determine f so that s(f) = 0.
-3, -2, -1
Let h(y) be the third derivative of y**8/1008 - y**7/70 - 11*y**6/360 + y**5/20 + 5*y**4/36 - 12*y**2 + 3*y. Determine r so that h(r) = 0.
-1, 0, 1, 10
Let z(b) be the third derivative of -b**7/1155 + 3*b**6/220 - 9*b**5/110 + 9*b**4/44 - 247*b**2. Suppose z(j) = 0. What is j?
0, 3
Let t(h) be the second derivative of -3*h**7/4 + 23*h**6/5 - 189*h**5/40 - 17*h**4/2 - 3*h**3 + 139*h. Determine p so that t(p) = 0.
-1/3, -2/7, 0, 2, 3
Let l(v) be the second derivative of -v**7/70 + 13*v**6/50 - 3*v**5/10 - 6*v**4/5 + 78*v. Suppose l(q) = 0. Calculate q.
-1, 0, 2, 12
Let v(l) be the second derivative of l**5/15 + l**4/6 + l**2/2 - 3*l. Let o(i) be the first derivative of v(i). Factor o(w).
4*w*(w + 1)
Let d(y) = -3*y**3 + 22*y**2 - 16*y + 65. Let b be d(7). Find h such that -4 + 2/5*h**b + 6/5*h = 0.
-5, 2
Let v = 11/3 - 7/3. Let h(l) = l**3 - 7*l**2 + 6*l - 40. Let b be h(7). Suppose -2/3*o**b - v*o + 0 = 0. What is o?
-2, 0
Suppose -1 - 3 = -3*z + s, 5*s = -5*z + 40. Let r be (21/16)/(48/(-64)) - -2. Factor h**2 + 1/2 + r*h**z + 5/4*h.
(h + 1)**2*(h + 2)/4
Let -48/5 + 72/5*k**2 - 48/5*k**3 + 9/5*k**4 + 0*k = 0. Calculate k.
-2/3, 2
Let o be ((-24)/(-8))/((-13)/(-5) + -2). Let v(h) be the first derivative of -8/9*h**3 - 1/27*h**6 - h**2 - 7 + 8/45*h**o + 0*h + 1/9*h**4. Factor v(t).
-2*t*(t - 3)**2*(t + 1)**2/9
Suppose 6*h = h - 4*j + 57, -3*j = -5*h + 36. What is m in 0*m**4 - 2*m + 2*m**4 - h - 6*m**2 + 13 + 2*m**3 = 0?
-2, -1, 1
Let t = -76 - -78. Let q(h) = 5*h**3 - 5*h**2 - 3*h - 3. Let d(k) = -4*k**3 + 6*k**2 + 2*k + 2. Let w(r) = t*q(r) + 3*d(r). Find z such that w(z) = 0.
0, 4
Let k = -1/295 + 12/59. Let u(l) be the first derivative of 0*l + 1/2*l**6 + 0*l**2 - 1/2*l**4 + 0*l**3 + 1 + k*l**5. Factor u(j).
j**3*(j + 1)*(3*j - 2)
Let r(i) be the first derivative of -i**6/45 - i**5/15 + i**4/6 + 17*i - 4. Let m(o) be the first derivative of r(o). Factor m(p).
-2*p**2*(p - 1)*(p + 3)/3
Let y(j) be the first derivative of 4*j**5/5 + 109*j**4 + 860*j**3/3 + 214*j**2 - 610. Solve y(h) = 0 for h.
-107, -1, 0
Suppose 5*x = -25, y - 9 - 1 = 2*x. Let d(s) be the third derivative of y*s - 4*s**2 - 1/210*s**5 - 1/84*s**4 + 1/420*s**6 + 0 + 1/21*s**3. Factor d(g).
2*(g - 1)**2*(g + 1)/7
Let l(s) be the first derivative of 1 + 1/2*s**4 - 4*s**2 + 8*s - 2/3*s**3. Suppose l(j) = 0. What is j?
-2, 1, 2
Let d be (-1392)/58*(-2)/8*2/18. Solve -d*x**2 + 10/3*x - 8/3 = 0.
1, 4
Suppose 32*a + 66 = 54*a. Let u(o) be the first derivative of 4 + o + 1/3*o**4 + 17/9*o**a + 8/3*o**2. Let u(x) = 0. Calculate x.
-3, -1, -1/4
Let l(h) be the second derivative of h**5/4 - 5*h**4/2 - 10*h**3/3 + 60*h**2 + 146*h. Find m such that l(m) = 0.
-2, 2, 6
Factor -1/5*c**4 - 18/5*c + 0*c**3 + 8/5 + 11/5*c**2.
-(c - 2)*(c - 1)**2*(c + 4)/5
Let j(k) be the third derivative of 0*k + 1/3*k**5 + 0 + 2/3*k**3 + 1/336*k**8 - 1/12*k**6 + 0*k**7 - 5/8*k**4 + 5*k**2. Find n, given that j(n) = 0.
-4, 1
Let w