2 - 1/3*l**4 + 0.
-l*(l - 2)**2*(l + 1)/3
Let t = 926960 - 3707741/4. Suppose -t*n + 75*n**2 + 387/4*n**3 - 3*n**4 + 0 = 0. Calculate n.
-1, 0, 1/4, 33
Suppose 7*g = 9*g + 7*g. Suppose g = 2*q + 6, 0*x + 2*x - 26 = 2*q. Factor -3*l**4 + l**2 - 7*l**2 + 9 + 4*l**3 - 12*l - 2*l**3 + x*l**3.
-3*(l - 3)*(l - 1)**2*(l + 1)
Let y(z) be the first derivative of 2*z**3/15 - 318*z**2/5 - 1926*z/5 + 1100. Determine a so that y(a) = 0.
-3, 321
Let n(h) = -3*h**2 + 30*h + 3. Let k be n(10). Factor -80*x - 59521 + 59521 - 4*x**4 - 36*x**k - 96*x**2.
-4*x*(x + 2)**2*(x + 5)
Factor -467*h**3 + 290*h + 110*h**2 + 465*h**3 + 32*h**2 + 146.
-2*(h - 73)*(h + 1)**2
Let y(a) = 76*a**3 - 156*a**2 - 124*a + 76. Let t(s) = 14*s + 111*s**2 - 142*s**2 + 15 + 15*s**3 - 39*s. Let k(o) = -16*t(o) + 3*y(o). Factor k(c).
-4*(c - 3)*(c + 1)*(3*c - 1)
Let f(d) = -56*d**2 - 764*d - 104. Let k(h) = 109*h**2 + 765*h + 105. Let s(l) = -5*f(l) - 4*k(l). Factor s(o).
-4*(o - 5)*(39*o + 5)
Factor -617*i**2 + 212*i**2 - 36*i + i**3 + 204*i**2 + 207*i**2 - 146 - 70.
(i - 6)*(i + 6)**2
Suppose 31*v - 25 = 37. Let s be v/5*(-330)/(-66). What is u in -44/7*u - 10/7*u**s - 16/7 = 0?
-4, -2/5
Let b(y) = y**2 - 2*y. Let n be b(2). Let q = -444995/4 - -111249. Factor 1/4*r - q*r**2 + n.
-r*(r - 1)/4
Let b(s) be the first derivative of s**4/7 + 32*s**3/7 - 50*s**2/7 + 9862. What is v in b(v) = 0?
-25, 0, 1
Let w(a) be the third derivative of -a**7/1680 + 3*a**6/160 + a**5/24 - 3*a**4/32 - 19*a**3/48 - 4696*a**2. Factor w(u).
-(u - 19)*(u - 1)*(u + 1)**2/8
Suppose -3*s + 2 = 5*z, -51*z + 3 = s - 47*z. Let i be 0/(-4 - (s + -2)*1). Factor i + 1/4*o**2 - o.
o*(o - 4)/4
Suppose 688604*j - 688559*j = 0. Find p such that 0*p**2 - 7/5*p**4 + 0 + j*p - 1/5*p**3 = 0.
-1/7, 0
Let y be -8*2 - ((-64 - 133) + 131). Let -y*c + 1/2*c**2 + 1250 = 0. What is c?
50
Solve -1004*l + 1120*l**2 + 80*l**5 - 110*l**5 + 93 + 1400*l**3 + 114*l**5 + 75 - 808*l**4 = 0.
-1, 2/7, 1/3, 3, 7
Solve 0 + 196/3*y**2 + 0*y + 15*y**4 + 64*y**3 - 1/3*y**5 = 0 for y.
-2, 0, 49
Let q(y) be the second derivative of 88/3*y**4 + 21296/9*y**2 + 1/135*y**6 + 13552/27*y**3 + 34/45*y**5 + 27*y - 3. Let q(k) = 0. Calculate k.
-22, -2
Let a(b) = b**3 + 20*b**2 + 84*b + 868. Let f be a(-18). Solve 1/2*w**3 + 1/6*w**f - 1/2*w + 0 - 1/6*w**2 = 0.
-3, -1, 0, 1
Let a(w) be the second derivative of -w**5/10 - 450*w**4 - 810000*w**3 - 729000000*w**2 + 785*w - 1. What is l in a(l) = 0?
-900
Let u(t) = t - 1. Let s(n) = -958*n**2 + 707*n - 131. Let j(w) = s(w) - 3*u(w). Let c(r) = -1436*r**2 + 1056*r - 192. Let q(p) = 5*c(p) - 8*j(p). Factor q(d).
4*(11*d - 4)**2
Let t(y) be the first derivative of 107 - 2/33*y**3 - 14/11*y + 8/11*y**2. Factor t(u).
-2*(u - 7)*(u - 1)/11
Let 4*q**3 - 2/13*q**4 - 368/13*q**2 - 270/13 + 588/13*q = 0. Calculate q.
1, 9, 15
Let g = 16 - 28. Let v(h) = 3*h**2 + 3*h - 6. Let l be (17/2 + -4)*2/(-3). Let a(k) = -k**2 + 1. Let o(x) = g*a(x) + l*v(x). Factor o(j).
3*(j - 2)*(j - 1)
Suppose 4*j - 12 = 4*k, -3*j - 23 = k - 4. Let h = k - -9. Factor -25/7 - 10/7*g - 1/7*g**h.
-(g + 5)**2/7
Suppose 0 = -4*z - m + 10, 0 = -5*z - 2*m - 3*m + 20. Find g, given that -15*g**4 - 4*g**2 + 18*g**2 + g**z + 5*g**3 - 5*g**5 + 0*g**5 = 0.
-3, -1, 0, 1
Suppose -610/9*y + 604/3 + 2/9*y**2 = 0. Calculate y.
3, 302
Let g(y) = -4*y - 2. Let k(w) = -20*w + w**2 + 3 + 21*w - 2. Suppose -4 = -o + 3*o. Let n(p) = o*g(p) - 4*k(p). Determine x so that n(x) = 0.
0, 1
Factor 5*v**3 - 416 - 17*v**3 - 205*v - 196*v**2 - 80*v - 267*v.
-4*(v + 2)*(v + 13)*(3*v + 4)
Let n(x) = -2*x + 14. Let v be n(4). Suppose 0 = v*t + 2*t - 32. Let -12*z**3 + 5*z**4 - 4*z**4 - 33*z**2 - 18*z + z**t + z**4 = 0. What is z?
-1, 0, 6
Let w(c) = -22*c**3 + 41*c**2 + 505*c - 9233. Let m(a) = 4*a**3 - a**2 + a - 3. Let f(n) = -5*m(n) - w(n). Let f(x) = 0. Calculate x.
-16, 17
Find m such that 6/5*m - 3/5*m**2 + 3/5*m**4 + 0 - 6/5*m**3 = 0.
-1, 0, 1, 2
Let g(v) be the third derivative of 0*v + 35/12*v**4 + 12 + 6*v**2 + 13/12*v**5 + 0*v**3 - 1/24*v**6. Factor g(x).
-5*x*(x - 14)*(x + 1)
Let v = 1/3874 + 7741/27118. Find f such that -v*f**2 - 20/7 - 22/7*f = 0.
-10, -1
Let k(n) = -121*n**4 - 60*n**3 + 340*n**2 - 231*n. Let v(q) = 335*q**4 + 165*q**3 - 935*q**2 + 635*q. Let u(m) = 25*k(m) + 9*v(m). Solve u(z) = 0.
-4, 0, 1, 3/2
Let k(s) be the first derivative of -s**6/5 + 32*s**5/75 + 2*s**4/15 - 4*s**3/5 + s**2/3 + 4*s/15 - 1131. Determine o so that k(o) = 0.
-1, -2/9, 1
Let v = 10 - -3. Solve -24*d**2 - 4*d**3 - 23*d - 10 - v*d - 10 + 4 = 0 for d.
-4, -1
Let k be (30/25)/((-29)/(-10) - 2). Suppose 4*f - 172 = -39*f. What is s in -2/3*s**f + k*s**3 + 0 - 4/3*s + 2/3*s**2 = 0?
-1, 0, 1, 2
Let c(k) be the first derivative of -k**6/8 + 3*k**5/5 + 9*k**4/16 - 9*k**3/2 - 424. Determine z, given that c(z) = 0.
-2, 0, 3
Let w(i) = i + 1. Let r(g) = -g**2 - 8*g + 2. Let q = -101 - -103. Let m(s) = q*w(s) - r(s). Determine b so that m(b) = 0.
-10, 0
Let g(q) be the second derivative of -q - 2/33*q**4 + 0*q**2 + 0*q**3 - 1/110*q**5 - 37. Factor g(n).
-2*n**2*(n + 4)/11
Suppose 7/5*w + 1/5*w**3 + 18/5 - 2*w**2 = 0. What is w?
-1, 2, 9
Suppose 44 = -2*r + 44. Suppose -z - 7 = -t - r*t, 4*t = -z + 18. Factor -t*q**2 + 0*q**2 - 405 + 106*q - 16*q.
-5*(q - 9)**2
Let q = 79 + -75. Let -q*k + 15*k - 6*k - 5*k - k**2 - 11*k = 0. Calculate k.
-11, 0
Factor 1/8*z**4 + 14961/4*z**2 + 343/8*z**3 + 7225 + 21845/2*z.
(z + 1)*(z + 2)*(z + 170)**2/8
Suppose -27*c**3 + 170*c + 933*c**2 - 3*c**4 + 910*c**2 + 165*c**3 - 934*c**2 + 1234*c = 0. What is c?
-3, 0, 52
Suppose 548/3*w + 550/3 - 2/3*w**2 = 0. Calculate w.
-1, 275
Suppose -7*s = 28 - 119. Suppose 8*f + s = 37. Factor -4*l**f + 4*l**2 - 7 + 3 - 172*l + 176*l.
-4*(l - 1)**2*(l + 1)
Let h = 742949 + -742947. Factor -2/7*y**h + 0 - 12*y.
-2*y*(y + 42)/7
Let t be (-240)/(-14) - 24/(-28). Factor 22*p - 21*p**2 - 4*p**5 + 13*p**2 + 8*p**4 - t*p.
-4*p*(p - 1)**3*(p + 1)
Let z(y) be the second derivative of -5*y**7/42 - 3*y**6/2 - 7*y**5 - 15*y**4 - 40*y**3/3 - 441*y. What is m in z(m) = 0?
-4, -2, -1, 0
Let f = 1781 + -1584. Suppose -20 = -f*n + 192*n. What is l in -8/7*l**5 + 16/7 - 44/7*l**n + 52/7*l + 4*l**2 - 44/7*l**3 = 0?
-4, -1, -1/2, 1
Let a(l) be the second derivative of -3*l**5/110 + 51*l**4/22 - 50*l**3/11 + 3*l + 337. Suppose a(g) = 0. Calculate g.
0, 1, 50
Let c(h) = 665*h**3 - 73850*h**2 + 19514895*h - 19441200. Let g(w) = 47*w**3 - 5275*w**2 + 1393921*w - 1388657. Let m(u) = -6*c(u) + 85*g(u). Factor m(j).
5*(j - 527)**2*(j - 1)
What is m in -2018 + 1004 + m**2 + 1007 - 6*m = 0?
-1, 7
Let y = 787 + -784. Let p(j) = 22*j + 7*j - 5 - 31*j**2 + 0 + 13*j**3. Let r(c) = -66*c**3 + 154*c**2 - 144*c + 24. Let m(o) = y*r(o) + 16*p(o). Factor m(i).
2*(i - 2)*(i - 1)*(5*i - 2)
Let s(a) be the second derivative of 2*a**2 + a**3 - 1/60*a**6 + 5/12*a**4 + 1/30*a**5 + 7*a + 0. Let i(w) be the first derivative of s(w). Factor i(b).
-2*(b - 3)*(b + 1)**2
Let x(u) be the third derivative of u**7/105 + 11*u**6/10 + 123*u**5/10 + 45*u**4 - 5*u**2 + 40. Determine y, given that x(y) = 0.
-60, -3, 0
Let c(r) = 326*r - 7168. Let n be c(22). Factor -12/5*m - 24/5*m**3 - 6/5*m**n + 0 - 6*m**2.
-6*m*(m + 1)**2*(m + 2)/5
Let h(c) be the first derivative of c**6/72 - 167*c**5/60 + 3845*c**4/24 - 3359*c**3/2 + 57591*c**2/8 - 56169*c/4 + 971. Factor h(z).
(z - 79)**2*(z - 3)**3/12
Suppose 3*l - p - 12 = 0, -3*l + 3*p = 2336 - 2354. Factor -8/5*g**l + 8/5*g**4 + 0*g - 2/5*g**5 + 0 + 0*g**2.
-2*g**3*(g - 2)**2/5
Suppose 5*h - 5*n = 10, 17 = -2*h + 3*n + 19. Let d be ((-4)/60)/(2/(-6)). Let 0 + d*x**h + 2/5*x**3 - 2/5*x - 1/5*x**2 = 0. What is x?
-2, -1, 0, 1
Let x = 48 + -44. Suppose -2*n - 14 = -4*m, -3*n - 5 = 6*m - x*m. Determine q, given that -5*q**m + 0 - 5/2*q**3 + 5/2*q**4 + 0*q = 0.
-1, 0, 2
Let z(t) be the second derivative of 4/9*t**3 + 1/27*t**4 - 1/45*t**5 + 0*t**2 + 2 - 36*t. Factor z(v).
-4*v*(v - 3)*(v + 2)/9
Let c(z) be the third derivative of -z**5/3 + 865*z**4/24 - 215*z**3/6 - 983*z**2. Determine s, given that c(s) = 0.
1/4, 43
Factor -16928 + 13810*w - 24915*w**2 + 8721*w**2 + 9651*w - 253*w**3 - 2*w**4 - 111*w**3 + 10027*w.
-2*(w - 1)**2*(w + 92)**2
Let w = -3/12418 - -99353/37254. Suppose -2/9*u**3 - w*u**2 - 8*u + 0 = 0. Calculate u.
-6, 0
Let n(w)