-3/4*n + t*n**2 + 1/2.
(n - 2)*(n - 1)/4
Let u(z) = -8*z**3 - 23*z**2 + 52*z - 36. Let m(i) = 15*i**3 + 45*i**2 - 105*i + 70. Let o be 2/(-13) + (-296)/104. Let l(k) = o*m(k) - 5*u(k). Factor l(t).
-5*(t - 1)**2*(t + 6)
Let 2*i**3 + 5504/3 + 12392/3*i**2 + 49544/9*i = 0. Calculate i.
-2064, -2/3
Let b be (-11)/(-2) - (-793)/122. Let w(j) = 20*j - 237. Let o be w(b). Find f, given that 0 - f**2 + 0*f - 7/2*f**o = 0.
-2/7, 0
Let t(l) be the second derivative of 2*l**7/105 + 8*l**6/75 - 3*l**5/25 - 6*l**4/5 - 2*l - 16. Find c, given that t(c) = 0.
-3, 0, 2
Let f be (357/(-6545))/(14/(-770)). What is k in 10/19*k + 0 + 2/19*k**f + 12/19*k**2 = 0?
-5, -1, 0
Let r(i) be the second derivative of -441*i**6/10 - 1017*i**5/20 + 475*i**4/2 - 146*i**3 - 60*i**2 + i - 682. Solve r(z) = 0.
-2, -5/49, 2/3
Let m(i) be the first derivative of -i**5/40 - 17*i**4 - 9248*i**3/3 - 8316. Factor m(s).
-s**2*(s + 272)**2/8
Suppose 44*a = 56*a - 36. Let q be (-205)/123*a/(-15). Solve -2/3 - q*k + 1/3*k**3 + 2/3*k**2 = 0.
-2, -1, 1
Let k(g) be the first derivative of g**7/525 - 2*g**6/75 - 17*g**2 - 2*g - 187. Let u(z) be the second derivative of k(z). Let u(l) = 0. Calculate l.
0, 8
Let h = 398 + -393. Suppose 224*c + 12 = 228*c - 4*t, -7 = -c + h*t. Determine d so that -5/8*d**c + d + 1/8*d**3 - 1/2 = 0.
1, 2
Solve 6016*h**2 - 476 - 1649 + 2120*h - 12016*h**2 + 6005*h**2 = 0.
-425, 1
Let n(m) be the third derivative of m**6/420 + 113*m**5/70 - 3*m**2 - 106. Let n(s) = 0. What is s?
-339, 0
Let n(q) be the first derivative of -5*q**3/3 + 335*q**2/2 - 1830*q - 6209. Factor n(r).
-5*(r - 61)*(r - 6)
Let h(i) = 5*i**2 - 5. Let b(x) = -23 - 28 + x - 23 + 53 + 22*x**2. Let q(p) = -4*b(p) + 18*h(p). Suppose q(c) = 0. What is c?
-1, 3
Let g(l) = 23*l + 1679. Let m be g(-73). Let x(i) be the second derivative of 1/48*i**4 + 0*i**3 + 0*i**2 + m - 11*i + 1/120*i**6 - 1/40*i**5. Factor x(f).
f**2*(f - 1)**2/4
Let s be ((-65)/(-26))/(11/4466). Let d = 1018 - s. Let 0*f + 0 + 2/3*f**5 - 2/3*f**d + 2/3*f**2 - 2/3*f**4 = 0. What is f?
-1, 0, 1
Find p, given that 1248*p**2 + 206043*p + 958*p**3 - 59858 + 10812*p**2 - 783*p**3 = 0.
-173/5, 2/7
Solve 34*h - 119*h - 139*h - 44*h**2 + 160*h**2 - 4*h**3 - 32*h**2 + 144 = 0 for h.
1, 2, 18
Let k = -53 - -80. Let a be (-6)/3 - (4 - 3)*-6. Suppose 4*s**2 - k*s + 11*s**3 + 25*s - 36*s**a + 23*s**5 - 5*s**5 + 5*s**3 = 0. Calculate s.
-1/3, 0, 1/3, 1
Suppose 0 = 5*q - 10 - 0. Suppose -z - 4 = -2*w, q*z = -3*w - 2*z + 6. Factor -w*b - 6*b + 31*b**2 - 35*b**2.
-4*b*(b + 2)
Let g(k) be the third derivative of -2*k**2 + 0*k + 0*k**3 + 1/315*k**7 + 0*k**4 + 0*k**5 + 3 + 1/45*k**6. Let g(n) = 0. What is n?
-4, 0
Let a(p) be the second derivative of -p**4/21 - 340*p**3/7 - 130050*p**2/7 + p - 299. Let a(b) = 0. Calculate b.
-255
Let m(c) be the third derivative of -c**6/24 - c**5/3 + 55*c**4/24 + 25*c**3 + 6738*c**2. Suppose m(o) = 0. What is o?
-5, -2, 3
Let a(g) be the third derivative of g**5/30 - 83*g**4/12 + 322*g**3 - 2368*g**2 - 2. Let a(o) = 0. Calculate o.
14, 69
Let f be 924/126 + 7*(-2 - -1). Let l be (1/(-6))/(-1) + 0. Find c, given that -f*c + 0 + l*c**2 = 0.
0, 2
Let z(j) = -156*j**2 - 142*j + 5. Let u(d) = 310*d**2 + 285*d - 10. Let v(k) = 3*u(k) + 5*z(k). Determine a so that v(a) = 0.
-1, 1/30
Suppose 0 = i, -3*d = -2*d + 5*i. Suppose d = -l + 17 - 11. Determine n so that -20*n**2 + l*n - 22*n + 13*n**3 - 17*n**3 = 0.
-4, -1, 0
Suppose -154*o**4 + 4974*o**2 + 84*o**4 - 373*o**4 + 4512*o - 76*o**4 + 412*o**5 - 1440 - 496*o**5 + 207*o**3 = 0. Calculate o.
-4, -10/7, 1/4, 3
Solve -1/2*k**4 + 0 + 1/2*k**2 - 1/4*k**5 - 6*k + 25/4*k**3 = 0 for k.
-6, -1, 0, 1, 4
Let r(s) = 6*s - 21 + 7*s + 22*s - 11*s. Let n(o) = -o**2 + 25*o - 20. Let k(w) = -3*n(w) + 4*r(w). Solve k(h) = 0.
-8, 1
Solve -17/5*g**2 + 1/5*g**3 + 0 - 168/5*g = 0 for g.
-7, 0, 24
Let n be (-234 - -216) + (-289)/(-16). Let k(b) be the first derivative of 42 - 9/4*b - 3/8*b**2 + 5/12*b**3 - n*b**4. Factor k(y).
-(y - 3)**2*(y + 1)/4
Suppose 5*k + 2*n = 2, 3*k + 0 = -n + 2. Suppose 3*c - 60 = -3*h, -5*h = 2*c - 17 - 74. Factor -h - 5*l**2 + 5 - 2*l + 7*l**k.
2*(l - 3)*(l + 2)
Let g(n) be the third derivative of n**6/360 + 5*n**5/18 + 47*n**4/18 + 92*n**3/9 - 5*n**2 - 53*n. Factor g(w).
(w + 2)**2*(w + 46)/3
Let t = -2207 - -15506/7. Let f = t - 54/7. Factor 0 - 3/7*n**2 + f*n.
-3*n*(n - 1)/7
Let c(h) be the first derivative of -h**4/66 + h**3/3 - 10*h**2/11 + 122*h - 20. Let b(l) be the first derivative of c(l). Factor b(j).
-2*(j - 10)*(j - 1)/11
Let 568/5*t + 0 + 1708/5*t**2 + 12/5*t**3 = 0. Calculate t.
-142, -1/3, 0
Factor 598*w - 3*w**2 + 0*w**2 - 8*w**2 + 441 + 9*w**2 + 159.
-2*(w - 300)*(w + 1)
Suppose 0 = 216*b - 215*b - 2. Let c(j) = -j**3. Let v(y) = -27*y**3 + 200*y**2 + 103*y + 13. Let u(r) = b*v(r) - 22*c(r). Factor u(a).
-2*(a - 13)*(4*a + 1)**2
Let j = 43 + -28. Factor -25*t**5 + 2*t**3 + 10*t**4 + t**3 - j*t**3 + 23*t**5.
-2*t**3*(t - 3)*(t - 2)
Let q(h) = -h**3 - 10*h**2 - 2*h - 2. Let l be q(-10). Let d(a) = 5*a**2 + 41*a + 9. Let x(f) = f**2 + 10*f + 2. Let j(k) = l*x(k) - 4*d(k). Factor j(s).
-2*s*(s - 8)
Let m(f) be the first derivative of 3*f**4/16 + 51*f**3/4 - 60*f**2 + 81*f - 1165. Factor m(y).
3*(y - 2)*(y - 1)*(y + 54)/4
Let b(o) be the second derivative of 0*o**3 + 0 + 0*o**2 + 47*o - 1/6*o**5 + 7/9*o**4. Solve b(r) = 0 for r.
0, 14/5
Let j = 5456 + -2946239/540. Let l(b) be the third derivative of 1/54*b**4 + 1/90*b**5 + 0 + 0*b**3 + 0*b - 10*b**2 + j*b**6. Factor l(u).
2*u*(u + 1)*(u + 2)/9
Factor 2*u + 10/3*u**3 - 28/3*u**2 + 15 - 1/3*u**4.
-(u - 5)*(u - 3)**2*(u + 1)/3
Let p(u) = -2*u + 28. Let i be 4 + 8 - (1 - (-6)/(-3)). Let h be p(i). Determine r so that -5*r + 2*r - 5*r - r**2 + 5*r**h = 0.
0, 2
Let q(o) be the third derivative of -o**7/315 + 43*o**6/5 - 49923*o**5/5 + 6440067*o**4 - 2492305929*o**3 - 997*o**2. Factor q(r).
-2*(r - 387)**4/3
Let w(z) = -3*z - 34. Let o be w(-12). Suppose -h = 5*q - 13, 0*q + o*h = 3*q. Factor -u**q - 7*u + 6*u**2 - 2*u + 4*u.
5*u*(u - 1)
Let a(y) be the second derivative of -y**5/100 + 19*y**4/15 + 31*y**3/6 + 39*y**2/5 + 2283*y. Factor a(u).
-(u - 78)*(u + 1)**2/5
Suppose 5 - 33 = -14*u. Suppose -8 - 4*k + 0*k + 0*k + 2*k**u - 2*k = 0. What is k?
-1, 4
Let r = -62 - -67. Let d be 5 - 0/(-2 + r). Let d*a - 15*a**5 - 27*a - 6*a**4 + 6*a**2 + 24*a**3 + 13*a = 0. Calculate a.
-1, 0, 3/5, 1
Let m(i) be the first derivative of -5*i**6/6 - 43*i**5 - 370*i**4 - 2800*i**3/3 + 3898. Let m(d) = 0. Calculate d.
-35, -4, 0
Let j(o) = 4*o**4 + 46*o**3 + 258*o**2 + 70*o - 336. Let c(m) = m**3 - m**2 + m - 4. Let s(k) = -14*c(k) - j(k). Determine u so that s(u) = 0.
-7, -2, 1
Let i(m) be the second derivative of m**7/210 + 7*m**6/150 - 3*m**5/50 - 17*m**4/30 + 53*m**3/30 - 21*m**2/10 + 895*m + 2. Factor i(x).
(x - 1)**3*(x + 3)*(x + 7)/5
Let i(j) be the third derivative of 1/1680*j**8 - 1/60*j**4 + 0 + 1/100*j**5 + 1/600*j**6 + 0*j + 0*j**3 + 162*j**2 - 1/350*j**7. Let i(q) = 0. What is q?
-1, 0, 1, 2
Let a(v) be the second derivative of -v**6/660 - 2*v**5/165 - v**4/33 + 75*v**2/2 - 11*v - 1. Let l(z) be the first derivative of a(z). Factor l(p).
-2*p*(p + 2)**2/11
Suppose 41*m = 62*m - 11298. Let x = m - 1067/2. Determine v, given that -3 - x*v - 3/2*v**2 = 0.
-2, -1
Let y be ((-17 - 3) + -3)*(-3 + 0). Let 0 - 8*a + 4 - y*a**2 + 73*a**2 = 0. Calculate a.
1
Let f be (4 - -6)/5 + 8. Suppose -5*p - 4*k + 18 = 0, -p = 5*k - f - 2. Factor t**2 + 0*t**2 - 16*t**4 + 7*t**p + 4*t**3 - 6*t**5 - 6*t**5.
-4*t**2*(t + 1)**2*(3*t - 2)
Find u such that 125*u - 45*u**3 + 303*u + 22*u + 10*u**4 + 280 + 2346*u**2 - 2591*u**2 = 0.
-4, -1/2, 2, 7
Let q(p) be the second derivative of -p**4/4 + 49*p**3/2 + 588*p**2 + 3461*p. Suppose q(x) = 0. What is x?
-7, 56
Let f be 126/(-27)*12/(-14). Suppose f*p + 2 = -3*v, -3*v + 5 = -3*p - 7. Factor 16*b + 4*b**2 + 46 - 14 - 2*b**v.
2*(b + 4)**2
Let m(d) be the second derivative of d**8/448 - d**6/160 - 123*d**2/2 - 5*d - 4. Let u(o) be the first derivative of m(o). Factor u(r).
3*r**3*(r - 1)*(r + 1)/4
Let v(l) = 8055*l + 32220. Let j be v(-4). Let -4/9*m**4 + 0*m + 2/9*m**5 + j*m**3 + 0 + 0*m**2 = 0. What is m?
0, 2
Let y(f) be the first derivative of -f**4/14 - 54*f**3/7 + f**2/7 + 162*f/7 - 623.