= 5*y + y - z. Solve 4/7*t**4 - 2/7*t**5 - 4/7*t**2 + 0 + 2/7*t + 0*t**y = 0 for t.
-1, 0, 1
Factor 2/5*n**3 + 32/5 + 18/5*n**2 + 48/5*n.
2*(n + 1)*(n + 4)**2/5
Solve -80 - 12*h**2 - 15*h**2 - 24*h**2 + 30*h + 56*h**2 = 0 for h.
-8, 2
Suppose -2*r + 15 = -9. Solve -4 - 18*x + 40*x - 12*x + 44*x**4 - 14*x + 24*x**2 + 56*x**3 + r*x**5 = 0 for x.
-1, 1/3
Suppose -4/3 - 14/3*s**3 - 2*s**2 + 10/3*s**4 + 14/3*s = 0. Calculate s.
-1, 2/5, 1
Let p(y) = -9*y**3 - 57*y. Let d(h) = h**3 + 7*h. Let j be ((-1)/2)/(2/16*1). Let t(o) = j*p(o) - 33*d(o). What is w in t(w) = 0?
-1, 0, 1
Let 3 - 1/4*k**2 - 1/4*k = 0. Calculate k.
-4, 3
Let b = -368 - -4417/12. Let a(g) be the second derivative of 0 - 1/2*g**2 + 6*g + 0*g**3 + b*g**4. Factor a(u).
(u - 1)*(u + 1)
Let r be ((-1)/(-2))/((-60)/(-80))*3. Factor -2/7*y**r - 6/7 + 8/7*y.
-2*(y - 3)*(y - 1)/7
Let j(p) = -p**4 - p**2 + p. Let h(a) = 4*a**5 + 8*a**4 - 8*a**3 + 8*a**2 - 4*a. Let r(i) = -h(i) - 8*j(i). Factor r(c).
-4*c*(c - 1)**2*(c + 1)**2
Find v, given that -6/13 + 2/13*v**2 + 4/13*v = 0.
-3, 1
Let t(l) be the first derivative of l**4/14 - 12*l**2/7 - 32*l/7 - 62. Factor t(m).
2*(m - 4)*(m + 2)**2/7
Let c(r) be the second derivative of -2/3*r**3 - 1/120*r**6 - 1/12*r**5 + 0 + 3/2*r**2 - 1/3*r**4 + 6*r. Let a(w) be the first derivative of c(w). Factor a(q).
-(q + 1)*(q + 2)**2
Suppose c + 4*v = 6*c - 42, -5*c = 5*v - 15. Suppose -24 = -c*t - 6. What is a in -44*a**5 + a - a + 41*a**5 + a**t + 2*a**4 = 0?
-1/3, 0, 1
Let k(w) = w - 2. Let m be k(6). Suppose -8 - 2 = d - 3*f, -2*d - 12 = -m*f. Find q, given that -d*q**3 + q**5 + 35 - 35 + q = 0.
-1, 0, 1
Let g(d) be the third derivative of d**7/315 + d**6/36 + d**5/90 - 7*d**4/12 - 2*d**3 - 103*d**2. Suppose g(s) = 0. What is s?
-3, -1, 2
Let y(s) be the first derivative of 4*s**3/3 - 256*s**2 + 16384*s + 247. Find a, given that y(a) = 0.
64
Determine s, given that 1/2*s**2 + 15/2 + 4*s = 0.
-5, -3
Let s = 214 - 22044/103. Let k = 1658/515 + s. Factor -k*x - 4/5*x**2 - 16/5.
-4*(x + 2)**2/5
Let f(l) be the third derivative of l**8/33600 + l**7/1400 + l**6/240 + l**5/30 - 2*l**3 + 56*l**2. Let i(z) be the third derivative of f(z). Factor i(s).
3*(s + 1)*(s + 5)/5
Let j(h) be the third derivative of -25*h**8/112 - 22*h**7/7 - 141*h**6/10 - 88*h**5/5 - 8*h**4 + 64*h**2 - 4*h. Suppose j(v) = 0. What is v?
-4, -2/5, 0
Let x = -123649/9 - -13739. Let 50/3*r - 10/3*r**2 + x*r**3 - 250/9 = 0. Calculate r.
5
Let q = -329 + 334. Let d(u) be the third derivative of -1/20*u**6 + 0 + 1/168*u**8 - u**2 + 0*u**7 + 0*u - 1/15*u**q + 0*u**3 + 0*u**4. Solve d(z) = 0.
-1, 0, 2
What is a in -9*a**2 - 2*a**2 - 177*a - 90 - 73*a**2 + 3*a**3 = 0?
-1, 30
Let o(u) = 8*u**3 + 244*u**2 + 264*u - 192. Let d(a) = -3*a**3 - 81*a**2 - 88*a + 64. Let y(b) = 16*d(b) + 5*o(b). Factor y(h).
-4*(h + 2)*(h + 8)*(2*h - 1)
Factor 18/7*h**3 - 27/7*h**2 - 6*h + 3/7*h**4 + 0.
3*h*(h - 2)*(h + 1)*(h + 7)/7
Suppose -15*l - 20 = -50. Let v(n) be the first derivative of 2*n**3 + 0*n - 3/2*n**2 - 3/4*n**4 - l. Factor v(b).
-3*b*(b - 1)**2
Suppose 0 = -8*h + 3*h. Let n(j) = -2*j. Let x be n(h). Factor -2/3*p**4 + 0*p + 2/9*p**5 - 2/9*p**2 + x + 2/3*p**3.
2*p**2*(p - 1)**3/9
Let k = -9547/4 - -2387. Suppose -27/4*m + 9/4*m**2 + 27/4 - k*m**3 = 0. What is m?
3
Let x(y) = 47*y**4 - 586*y**3 + 4200*y**2 - 8011*y - 12789. Let u(s) = -9*s**4 + 117*s**3 - 840*s**2 + 1602*s + 2558. Let j(q) = -11*u(q) - 2*x(q). Factor j(k).
5*(k - 8)**3*(k + 1)
Let c(l) = 7*l - 1. Let p be c(10). Suppose 2*q - p = -q. Factor -11*h - 3*h**2 - 12*h + q*h + 3.
-3*(h - 1)*(h + 1)
Factor 25 - 45*c - 3*c**2 - 2*c**2 + 19 + 5*c**2 + c**2.
(c - 44)*(c - 1)
Let o = 95 + -93. Factor 4/5 - 7/5*d + 2/5*d**o + 1/5*d**3.
(d - 1)**2*(d + 4)/5
Let z(y) be the second derivative of -1/9*y**3 + 0 + 1/36*y**4 - 1/2*y**2 - 9*y. Let z(k) = 0. What is k?
-1, 3
Factor 3/2 + 1/8*q**2 + 7/8*q.
(q + 3)*(q + 4)/8
Let -15/2*u**3 - 1/2*u**5 - 6 + 5/2*u**2 + 7/2*u**4 + 8*u = 0. What is u?
-1, 1, 2, 3
Suppose 0 = -2*w - 4. Let c be -7*((-12)/(-7) + w). Let -83*j + 79*j + 0*j**2 - c - j**2 - j**2 = 0. Calculate j.
-1
Let b(h) be the second derivative of h**5/4 + 25*h**4/12 - 55*h**3/3 + 40*h**2 + 15*h. Factor b(n).
5*(n - 2)*(n - 1)*(n + 8)
Let b(t) be the third derivative of -t**5/180 - 73*t**4/72 + 37*t**3/9 + 57*t**2 - 2*t. Factor b(s).
-(s - 1)*(s + 74)/3
Factor 10 - 4*q + 3*q**2 + q**3 - 30 + 20.
q*(q - 1)*(q + 4)
Let f = 854/13 - 1695/26. Let 1/4*c**3 + c**2 + 5/4*c + f = 0. What is c?
-2, -1
Factor -3/5*i**5 + 0*i**2 + 0 + 3/5*i**3 + 0*i**4 + 0*i.
-3*i**3*(i - 1)*(i + 1)/5
Let r(n) be the first derivative of 16*n**2 - 4*n**3 - 14*n**2 - 4*n**4 + 0*n**4 + 24. Factor r(a).
-4*a*(a + 1)*(4*a - 1)
Let h = -71/6 + 40/3. Suppose -72*r - 473 = -689. Solve -3*b**2 + h*b**r + 3 - 3/2*b = 0 for b.
-1, 1, 2
Let m(p) = -3*p**5 - 7*p**4 - 20*p**3 - 8*p**2 + 4*p + 4. Let i(y) = 6*y**5 + 12*y**4 + 39*y**3 + 15*y**2 - 9*y - 9. Let n(u) = -4*i(u) - 9*m(u). Factor n(j).
3*j**2*(j + 1)*(j + 2)**2
Let k = 1511/5264 - 1/752. Solve -2/7 - 4/7*m - k*m**2 = 0 for m.
-1
Suppose 6*u**2 - 3*u**4 - 3*u**3 - 1833*u + 1833*u = 0. What is u?
-2, 0, 1
Suppose 21 = 4*l - b, 0 = -l - 2*l + b + 16. Let c(t) be the second derivative of 5*t + 0*t**4 + 0*t**2 + 0*t**3 - 1/10*t**l + 0. What is s in c(s) = 0?
0
Let i(c) = -3*c**2 + 341*c - 556. Let w be i(112). Factor -22*z**2 - 25/2*z**w - 4*z - 35*z**3 + 0.
-z*(z + 2)*(5*z + 2)**2/2
Let o(c) be the first derivative of -c**2 + 7/5*c**5 - 13 + 2/3*c**6 + c - 8/3*c**3 - 1/2*c**4. What is g in o(g) = 0?
-1, 1/4, 1
Let s(p) be the second derivative of 21/10*p**5 + 0 - 16/21*p**7 + 4/3*p**6 + 0*p**2 + 23/24*p**4 - 23*p + 1/6*p**3. Suppose s(q) = 0. What is q?
-1/4, 0, 2
Let s be (-18)/(-42) + 9/(-21). Let d(y) be the second derivative of 2*y + 4/75*y**6 + 0*y**3 + 7/100*y**5 + 1/30*y**4 + 1/70*y**7 + s*y**2 + 0. Factor d(f).
f**2*(f + 1)**2*(3*f + 2)/5
Let u(n) = n**4 + n. Let b(f) = -12*f**3 - 26*f**2 - 22*f - 8. Let m = -14 + 10. Let s(x) = m*u(x) + 2*b(x). Factor s(c).
-4*(c + 1)**2*(c + 2)**2
Let x be (-3)/(-2) + 604/8. Factor -144*k**2 - 102 + 0 + 2 - x*k - 163*k.
-4*(6*k + 5)**2
Let r(a) = 2*a**2 - 5*a - 31. Let n be r(-9). Let b be 44/n + (0 - (0 - 0)). Suppose 1/4*p**4 + 1/4*p**5 - b*p**2 + 0 + 0*p - 1/4*p**3 = 0. Calculate p.
-1, 0, 1
Let v(d) be the second derivative of -5*d**7/252 + 13*d**6/9 - 47*d**5/2 - 1820*d**4/9 - 3920*d**3/9 - 367*d. Factor v(g).
-5*g*(g - 28)**2*(g + 2)**2/6
Let t(f) = -25*f**4 - 9*f**2 - 17*f. Let c(x) = 3*x**4 + x**2 + 2*x. Let i(o) = -51*c(o) - 6*t(o). Factor i(j).
-3*j**2*(j - 1)*(j + 1)
Let f = 440 + -423. Let n be 1 + (2*2 - 2). Let f*p - 18*p - 47*p + n*p**2 + 21*p**2 - 3*p**3 = 0. Calculate p.
0, 4
Factor 63*z**2 - 3/4*z**3 + 5043/2 - 5535/4*z.
-3*(z - 41)**2*(z - 2)/4
Let u(q) be the second derivative of 8/13*q**2 - 1/273*q**7 + 1/26*q**5 + 26*q - 4/39*q**3 + 0 + 2/195*q**6 - 5/39*q**4. What is s in u(s) = 0?
-2, -1, 1, 2
Let w(a) = -a**3 - a**2 + 4*a + 1. Let v be w(-4). Let p = -98/3 + v. Suppose 1/3 + 0*x - p*x**2 = 0. Calculate x.
-1, 1
Determine j so that 6845 + 5892*j**2 + 5*j**4 - 172*j**3 + 1698*j**2 - 15418*j - 122*j**3 + 1358*j - 86*j**3 = 0.
1, 37
Let l(r) = r**2 - 13*r + 24. Let b be l(11). Factor -2*v**b - 14*v**2 + 4*v + 3*v**2 - 13*v**2.
-2*v*(13*v - 2)
Let q be -3 + 1 - (310/(-2015) - (-63)/(-13)). Determine h so that 22/7*h + 2/7*h**q + 12/7 + 12/7*h**2 = 0.
-3, -2, -1
Suppose -5*r = 5*y - 9*y - 29, -3*r = -2*y - 17. Let h(v) be the third derivative of -7*v**2 + 1/72*v**4 - 1/180*v**r + 0*v**3 + 0 + 0*v. Factor h(g).
-g*(g - 1)/3
Suppose 0 = 4*j - 0*j - 132. Suppose 5*q - 7 - j = 5*u, 5*u + 28 = 3*q. Factor -5*k + q*k - k**3 + 2*k**3 + 4*k**2 - 2*k**2.
k*(k + 1)**2
Factor 4*u**2 + 0 + 2*u + 1/2*u**4 + 5/2*u**3.
u*(u + 1)*(u + 2)**2/2
Let b(x) = 3*x**3 - 5*x**2 + 2*x - 3. Let m be b(2). Let y(n) be the third derivative of 1/24*n**3 + 0 + 0*n + 1/240*n**m + 2*n**2 - 1/48*n**4. Factor y(t).
(t - 1)**2/4
Suppose -5*c**3 - 2144*c**2 - 2 + 2 - c - 9*c + 2129*c**2 = 0. What is c?
-2, -1, 0
Solve -138/7*z + 2 + 50/7*z**3 + 330/7*z**2 = 0.
-7, 1/5
Let i(y) be the third derivative of -4/15*y**5 + 0*y**3 - 8/35*y**7 + 0*y + 0 - 3/56*y**8 - 1/12*y**4 - 11/30*y**6 + 14*y**2. Factor i(b).
-2*b*(