y + 5/8*y**4 - 5/3*y**3 - 1/12*y**5 + q*y**2 + 0. Solve u(m) = 0 for m.
1, 2
Let b = 1247171/701532 + -1/233844. Suppose 1/9*z**4 - 4/9*z**3 + 0*z**2 + 16/9*z - b = 0. Calculate z.
-2, 2
Let z(q) = -q + 5. Let i be z(5). Suppose 4*k + 3*d - 5*d - 6 = 0, -4*k - 3*d + 21 = 0. What is u in 4*u**2 + k*u**3 + 2742*u - u**4 - 2742*u + i*u**4 = 0?
-1, 0, 4
Let w(d) = -22*d**2 + 2648*d - 520. Let n(z) = -4*z**2 + 18*z. Let p(v) = -5*n(v) - w(v). Factor p(t).
2*(t - 65)*(21*t - 4)
Suppose -2*u + 3*y = -3, -19*y - 33 = -4*u - 22*y. Let f be (10/6)/(25/u). Find q, given that 40 + 8*q + f*q**2 = 0.
-10
Let u(a) = a**2 + 9*a - 196. Let i be u(-19). Let w be (92/(-30))/(-2) - i/45. What is p in -w*p + 2 + 1/3*p**2 = 0?
2, 3
Let s(u) be the first derivative of -4*u**5 - 26*u**4 + 620*u**3/3 - 296*u**2 - 144*u - 535. Suppose s(q) = 0. Calculate q.
-9, -1/5, 2
Let p = -36584 + 292673/8. Factor 0*z + 0*z**2 + 1/8*z**4 - p*z**3 + 0.
z**3*(z - 1)/8
Let x(j) = 2*j**2 + 12*j + 19. Let n = -118 + 109. Let w be x(n). Suppose 73 - w + 3*l - l**2 = 0. What is l?
0, 3
Suppose 2*u + 15 = c, -4*c + 0*u + u + 95 = 0. Suppose 21*y - c*y + 200 = 0. Factor -2 + 1 + 106*r**2 - y*r**2 - 55*r**2.
(r - 1)*(r + 1)
Let u(x) be the second derivative of x**7/42 + x**6/5 + 11*x**5/20 + x**4/2 + x + 682. Factor u(t).
t**2*(t + 1)*(t + 2)*(t + 3)
Let m = 743396 - 8177354/11. Factor -40/11*r - m*r**2 + 42/11.
-2*(r - 1)*(r + 21)/11
Let v(d) be the first derivative of d**6/36 + 14*d**5/15 + 47*d**4/8 - 185*d**3/9 + 50*d**2/3 - 1894. Find m such that v(m) = 0.
-20, -10, 0, 1
Let p be 209 + -202 + (-1)/(-1*8/(-50)). Let -p*m**3 - 21/8 - 21/8*m**4 + 3/8*m**5 + 21/4*m**2 + 3/8*m = 0. What is m?
-1, 1, 7
Let z(v) = -v**2 + 54*v - 11. Let n(m) = 3*m**2 - 132*m + 24. Let a(l) = -2*n(l) - 5*z(l). What is r in a(r) = 0?
-7, 1
Solve -120/11*o**2 - 20*o**3 + 18/11*o**4 + 752/11*o + 192/11 + 8/11*o**5 = 0 for o.
-6, -2, -1/4, 2, 4
Let l(x) be the first derivative of x**6/51 - 4*x**5/85 - 9*x**4/17 + 16*x**3/51 + 41*x**2/17 - 60*x/17 + 1599. Determine a so that l(a) = 0.
-3, -2, 1, 5
Let b(f) be the third derivative of -f**9/4032 + f**8/192 + f**7/280 + 5*f**3 - 128*f**2 + 2. Let o(s) be the first derivative of b(s). What is j in o(j) = 0?
-1/3, 0, 12
Let z(w) be the second derivative of -1/7*w**4 + 17 + 6/7*w**3 - 2*w - 16/7*w**2 + 1/140*w**5. Determine d, given that z(d) = 0.
2, 8
Let h = 13 + 2. Suppose -2*w + 5*n = -0*n - 35, 0 = -w - 4*n - h. Let -2*s**2 + 2*s**2 - 2*s + w - 2 - s**2 = 0. What is s?
-3, 1
Let x(l) be the first derivative of -l**3/5 + 1833*l**2/10 - 3654*l/5 - 1803. Suppose x(v) = 0. Calculate v.
2, 609
Let z = -23706 - -23709. Let m(q) be the third derivative of 8/3*q**z - 3*q**2 - 5/6*q**4 + 0 + 1/15*q**5 + 0*q. Find g such that m(g) = 0.
1, 4
Factor 10/3*c**3 - 20/3 + c**2 - 1/3*c**4 - 28/3*c.
-(c - 10)*(c - 2)*(c + 1)**2/3
Let l(h) be the first derivative of 112 + 2*h + 14*h**2 + 26/3*h**3. Find g, given that l(g) = 0.
-1, -1/13
Suppose t + 13 = -5*f + 98, 2*t = -10. Let d = f + -6. Solve d + 29*s + 11*s**2 - 7*s**2 + 4 - 9*s = 0.
-4, -1
Let f = -409 - -569. Factor -50*k**3 - 22*k**4 - f*k + 125*k**2 + 27*k**4 + 60 + 20*k**2.
5*(k - 6)*(k - 2)*(k - 1)**2
Let f(v) = -118*v**2 + 396*v + 6. Let m(p) = 334*p**2 - 1188*p - 17. Let s(d) = 17*f(d) + 6*m(d). Factor s(n).
-2*n*(n + 198)
Factor 735/2 + 3/4*k**2 + 1473/4*k.
3*(k + 1)*(k + 490)/4
Let t = 20 + -18. Suppose t*i = i + 2. Suppose -i*q**5 - q**3 - q**3 + 3*q**5 + q**5 = 0. Calculate q.
-1, 0, 1
Factor -193/2*p**4 - 197/2 - 787/2*p - 589*p**2 + 1/2*p**5 - 391*p**3.
(p - 197)*(p + 1)**4/2
Factor -1/4*c**4 - 3/2*c + 0 - 2*c**3 - 13/4*c**2.
-c*(c + 1)**2*(c + 6)/4
Suppose 0 = 3*h + h - 8. Let f = -297911/36 + 74480/9. Suppose -1/4*c**3 + f*c + 0 + 0*c**h = 0. What is c?
-1, 0, 1
Suppose 0 = 4*m - 5*f - 22, -2*m + 14 = -f - 3*f. Determine k, given that -71*k**4 + 5*k**2 + 138*k**4 - 5*k**m + 5*k**5 - 72*k**4 = 0.
-1, 0, 1
Let g(n) be the second derivative of n**6/24 - n**5/6 - 95*n**4/24 + 50*n**3/3 - 69*n**2/2 + 92*n. Let h(v) be the first derivative of g(v). Factor h(o).
5*(o - 5)*(o - 1)*(o + 4)
Let d(v) be the third derivative of -v**5/20 + 157*v**4/8 - 155*v**3 - 2*v**2 + 27*v - 3. Factor d(y).
-3*(y - 155)*(y - 2)
Let r = 57203 + -57199. Let 1/3*l - 1/3*l**3 + 1/6*l**r - 1/6 + 0*l**2 = 0. What is l?
-1, 1
Let h(n) be the third derivative of -n**8/1848 + n**6/330 - n**4/132 + 1093*n**2. Factor h(a).
-2*a*(a - 1)**2*(a + 1)**2/11
Let h(w) = 19*w**3 - w**2 - 25*w + 13. Let z(j) = -3*j**3 + 2*j**2. Let f(l) = h(l) + 6*z(l). Factor f(x).
(x - 1)**2*(x + 13)
Let r(p) be the first derivative of -p**3/6 - 29*p**2/2 + 71. Factor r(h).
-h*(h + 58)/2
What is x in -1620 + 13*x**2 + 18*x - 1/2*x**3 = 0?
-10, 18
Let z(a) = -8*a - 26. Let s be z(-5). Let w be (8/(-5))/4 + (-60)/(-25). Factor -43*h + 15 - 5*h**3 + s*h**2 + 11*h**w + 8*h.
-5*(h - 3)*(h - 1)**2
Let u(w) be the second derivative of 0 + 1/5*w**5 - 2/3*w**3 + 0*w**2 + 0*w**4 - 56*w. Factor u(p).
4*p*(p - 1)*(p + 1)
Suppose 1221/4*f + 23/4*f**2 + 53/2 = 0. Calculate f.
-53, -2/23
Suppose 103653/2*o**3 + 7350 + 45360*o + 14337/2*o**4 + 567/2*o**5 + 165903/2*o**2 = 0. What is o?
-35/3, -1, -2/3, -2/7
Let t(j) be the third derivative of -10/21*j**3 + 11/210*j**5 + 3/140*j**6 + 0*j - 2*j**2 - 1/735*j**7 - 78 - 3/28*j**4. Determine b so that t(b) = 0.
-1, 1, 10
Let c(y) be the third derivative of y**8/36960 - y**7/2310 + y**6/330 - 11*y**5/20 - 2*y**2 + 17*y. Let d(m) be the third derivative of c(m). Solve d(r) = 0.
2
Suppose 0 = 76*k + 27*k - 309. Determine l, given that -1/6*l**4 + 1/2*l**2 - 2/3 - 2/3*l + 1/3*l**k = 0.
-1, 2
Let z(r) = -2*r + 0 + 12 + 2*r - 2*r. Let x be z(4). Factor 0*f**3 + 5*f**3 + 0*f**3 - 13*f**3 + 8*f - 4*f**4 + x*f**2.
-4*f*(f - 1)*(f + 1)*(f + 2)
Suppose -1617*t = -1589*t. Let x(f) be the third derivative of -1/10*f**5 - 14*f**2 + 0 + f**3 + t*f - 1/40*f**6 + 1/8*f**4. Factor x(m).
-3*(m - 1)*(m + 1)*(m + 2)
Suppose 331 = -3*q - 122. Let g = -601/4 - q. Find i, given that i**2 - g*i + 0 - 1/4*i**3 = 0.
0, 1, 3
Let f(r) be the second derivative of r**5/60 - r**4/9 + r**3/6 - 214*r + 4. Factor f(y).
y*(y - 3)*(y - 1)/3
Let h(p) = p**4 - p**3 + p**2 + p. Let c(u) = -5*u**5 - 32*u**4 + 57*u**3 + 118*u**2 - 142*u. Let w(x) = c(x) + 2*h(x). Suppose w(a) = 0. What is a?
-7, -2, 0, 1, 2
Let x(r) = -3*r**5 + r**3 + 2*r + 1. Let z(i) = 8*i**5 + 4*i**4 + i**3 - 16*i**2 - 6*i - 3. Let w(u) = 3*x(u) + z(u). Factor w(s).
-s**2*(s - 4)*(s - 2)*(s + 2)
Let x(m) be the second derivative of m**4/15 + 38*m**3/5 - 2336*m**2/5 + 30*m - 1. Factor x(q).
4*(q - 16)*(q + 73)/5
Determine a so that -1428*a**2 - 460*a**4 - 21180*a - 4*a**5 - 21187*a + 42367*a + 1892*a**3 = 0.
-119, 0, 1, 3
Let q(w) be the second derivative of 9*w**5/110 + 101*w**4/66 + 274*w**3/33 + 56*w**2/11 + w - 2641. Factor q(x).
2*(x + 4)*(x + 7)*(9*x + 2)/11
Let n(i) be the first derivative of i**4 - 304*i**3/3 + 718*i**2 - 1136*i + 3911. Suppose n(o) = 0. Calculate o.
1, 4, 71
Let n(x) = 8*x**4 + 2*x**2 - 1. Suppose -4*v - 2 = b, 4*b + 7 = 9*b + 3*v. Let z(l) = 2*l**4. Let p(d) = b*n(d) - 9*z(d). Factor p(k).
-2*(k - 1)**2*(k + 1)**2
Let 1/2*s**2 + 0 - 1975/2*s = 0. Calculate s.
0, 1975
Let w(p) be the first derivative of 0*p**2 + 65 + 5/3*p**6 - 6/5*p**5 + 0*p - p**4 + 0*p**3. Factor w(v).
2*v**3*(v - 1)*(5*v + 2)
Let o(m) = 5*m**2 - 6*m - 3. Let k be o(2). Let q be (-1 - 2)/(6/(-8)). Factor 4/3*u**2 + 0*u - u**q - 1/3*u**k + 0 + 0*u**3.
-u**2*(u - 1)*(u + 2)**2/3
Find q such that 200/3 - 7/6*q**3 - 247/6*q**2 + 665/3*q = 0.
-40, -2/7, 5
Let k(q) = -26*q**5 - 20*q**4 - q**3 + 7*q + 7. Let y(s) = -12*s**5 - 10*s**4 - s**3 + 3*s + 3. Let a(b) = 3*k(b) - 7*y(b). Factor a(m).
2*m**3*(m + 1)*(3*m + 2)
Let p(o) be the second derivative of o**6/120 + 3*o**5/20 + 2*o**4/3 - 2*o**3 - 18*o**2 + 1908*o. Let p(l) = 0. What is l?
-6, -2, 2
Suppose -25651 - 60695 - 11430 - b**4 + 96099*b**2 - 620*b + 2*b**4 + 1676 + 620*b**3 = 0. What is b?
-310, -1, 1
Let f(g) be the second derivative of -g**6/6 - 51*g**5/2 - 1165*g**4 - 24745*g**3/3 - 36015*g**2/2 - 354*g. Factor f(l).
-5*(l + 1)*(l + 3)*(l + 49)**2
Suppose 5*i + 29 - 239 = 0. Suppose -36*p + i*p = 60. Suppose 8*n - p*n + 2*n**2 - 14 + 3 - 1 = 0. Calculate n.
-2, 3
L