-2) - (-3 + 3). Factor -11 + 2*t**2 - 8 + 1 - 14*t + w.
2*(t - 8)*(t + 1)
Let x = 250/9 - 238/9. Let j be (37/7 + -5)*7. Let 0 + x*d - 2/3*d**j = 0. What is d?
0, 2
Factor 2128*u + 2172 - 1119 + 2*u**3 + 2848 + 133*u**2 - 11*u**2 + 3939.
2*(u + 5)*(u + 28)**2
Let q be -2 - (-3 + 3 - 23). Suppose -3*i + 20 = 3*p + p, -3*p + q = 3*i. Factor -h**3 + 6*h**3 - 4*h + 4*h**4 + i - 12*h**2 - h**3.
4*(h - 1)**2*(h + 1)*(h + 2)
Let w(x) be the third derivative of 1/114*x**4 + 0 + 0*x**3 + 14*x**2 + 1/570*x**5 + 0*x - 1/1140*x**6. Let w(h) = 0. What is h?
-1, 0, 2
Let m(f) be the second derivative of -1/130*f**5 + 1/78*f**4 + 4/39*f**3 - 4/13*f**2 + 0 - 73*f. Determine l so that m(l) = 0.
-2, 1, 2
Suppose 0*h**2 - 2/3*h**5 + 0 - 6*h**4 + 0*h - 28/3*h**3 = 0. Calculate h.
-7, -2, 0
Determine t so that 19*t**2 + 13*t + 18*t**2 + 4392 - 98*t**2 + 64*t**2 - 268*t = 0.
24, 61
What is c in 134/9*c**3 + 34/3*c**2 - 28*c - 2/9*c**5 + 2*c**4 + 0 = 0?
-3, 0, 1, 14
Let m(h) be the first derivative of h**5/60 - 13*h**4/24 + 2*h**3 + 289*h**2/2 - 126. Let y(l) be the second derivative of m(l). Factor y(a).
(a - 12)*(a - 1)
Let t = 23624 - 23621. Let r(z) be the first derivative of -23 - 1/3*z + 1/9*z**t + 0*z**2. Factor r(g).
(g - 1)*(g + 1)/3
Let y = -3189558/11 - -289960. Suppose 4/11*a**2 + 20/11 + y*a**3 - 26/11*a = 0. What is a?
-5, 1, 2
Factor 0 - 8*y**2 + 2/15*y**4 + 0*y - 8/15*y**3.
2*y**2*(y - 10)*(y + 6)/15
Let h(q) be the third derivative of q**8/840 + 3*q**7/175 + 7*q**6/100 - q**5/150 - q**4/2 + 60*q**2. Suppose h(g) = 0. What is g?
-5, -3, -2, 0, 1
Let b(s) be the first derivative of -28*s + 5/3*s**3 - 3 - 7/3*s**2 + 1/30*s**5 - 1/2*s**4. Let t(l) be the first derivative of b(l). Let t(k) = 0. Calculate k.
1, 7
Suppose 10*l - 6*l - 458 = -5*b, 3*b + 591 = 5*l. Let s be (l/156)/(2/8). Factor -44/7*n**2 - 20/7*n**s + 0 - 8/7*n.
-4*n*(n + 2)*(5*n + 1)/7
Let h be 3080/315*(-9)/(-2). Suppose -h*n = -25*n. Determine i so that n*i + 0 - 9/2*i**4 - 3/2*i**2 - 6*i**3 = 0.
-1, -1/3, 0
Factor -1130988/5 - 3684/5*a - 3/5*a**2.
-3*(a + 614)**2/5
Factor 587*w**3 + 2*w**4 - 1171*w - 5*w**2 - 4*w**4 - 104*w + 688*w**3 + 7*w**4.
5*w*(w - 1)*(w + 1)*(w + 255)
Let o = 1485 - 1471. Let n(z) be the first derivative of 2*z**2 - 10/3*z**3 + 3/2*z**4 + 0*z - o. Let n(u) = 0. Calculate u.
0, 2/3, 1
Suppose 2*y = -5*a + 348817, 3*y - 363682 = 5*a + 159581. Factor -2*x**4 + 17*x**3 - 15*x**2 - 174400 + x**4 - 17*x + y.
-(x - 16)*(x - 1)**2*(x + 1)
Suppose -372*i + 364*i + 960 = 0. Let a be 20/(i/6) - 78/(-10). Determine m so that -24/5 - 4/5*m**3 - 24/5*m**2 - a*m = 0.
-3, -2, -1
Suppose -4*a + h + 21 = 0, 5*a - 11 - 17 = 3*h. Solve 55*c - 2230 + 27*c**2 - a*c**3 + 2260 - 7*c**2 = 0.
-1, 6
Suppose 23*h + 2700 = 83*h. Suppose b + h = 47. Factor 0 + 2/5*j - 1/5*j**3 + 1/5*j**b.
-j*(j - 2)*(j + 1)/5
Let x(q) = -5*q**3 - 21*q**2 - 48*q - 32. Let b = -20 + 22. Let l(i) = -4*i**3 - 20*i**2 - 48*i - 32. Let c(n) = b*x(n) - 3*l(n). Find z, given that c(z) = 0.
-4, -1
Suppose 47 = 3*y - 211. Suppose -2*o = 18 - y. Factor 110 - 43 - 56*w + o + 4*w**2 + 95.
4*(w - 7)**2
Solve 201/2*v**3 + 3*v**4 + 144*v**2 - 3/2*v - 48 = 0 for v.
-32, -1, 1/2
Let t(a) be the second derivative of -a**7/126 + 7*a**6/90 + 47*a**5/15 + 5*a**4 + 1550*a. Let t(h) = 0. Calculate h.
-10, -1, 0, 18
Let n(r) = -12*r**2 + 48*r + 335. Let h(d) = -5*d**2 + 24*d + 163. Let b(q) = -5*h(q) + 2*n(q). Factor b(a).
(a - 29)*(a + 5)
Let y(w) be the third derivative of w**5/12 - 77*w**4/12 - 31*w**3/6 - 1021*w**2. Factor y(p).
(p - 31)*(5*p + 1)
Let l = -105 - -107. Let k = -7/18 - -8/9. Let -1/4*q**l + 7/4*q**4 + 3/2*q**3 + 0 - 1/2*q + k*q**5 = 0. What is q?
-2, -1, 0, 1/2
Let l(t) be the first derivative of -t**7/280 + t**5/10 - 25*t**3/3 - t**2/2 + 76. Let g(n) be the third derivative of l(n). Factor g(u).
-3*u*(u - 2)*(u + 2)
Solve -17/2*q**3 - 24 + 77/2*q - 1/2*q**4 - 11/2*q**2 = 0.
-16, -3, 1
Let h = 90 + -26. Find t such that 0*t**5 - t**5 - 124*t + 128*t**3 - t**5 - 2*t**5 + 56*t**4 + 8*t**2 - h = 0.
-1, 1, 16
Let v = 2845 - 2815. Let t(o) be the first derivative of 5/3*o**3 - v*o - 5/2*o**2 + 12. Factor t(w).
5*(w - 3)*(w + 2)
Let o(y) = -4*y + 8. Let x(u) = u. Let v(h) = 2*o(h) + 6*x(h). Let f be v(7). Let f*n**3 - 4*n**5 + 3*n**5 - 6*n + n + 4*n = 0. What is n?
-1, 0, 1
Let c(k) = -4*k**4. Let q(d) = d**5 + 4*d**4 + d**3. Suppose 0 = -b - 5*f + 11, 4*f - 3*f = 1. Let u(o) = b*c(o) + 4*q(o). Factor u(v).
4*v**3*(v - 1)**2
Let w = 316 + -310. Suppose -g + w = v, 5*g = -v + 10*g - 18. Factor 6/7*c**v + 2/7*c**3 + 4/7*c + 0.
2*c*(c + 1)*(c + 2)/7
Let w(d) = 5*d**4 + d**2 + 2*d - 1. Let y(u) = -23*u**4 - 4*u**3 - 77*u**2 - 186*u - 123. Let z(c) = -5*w(c) - y(c). Suppose z(b) = 0. Calculate b.
-2, 8
Let d(x) be the first derivative of -8*x + 15/4*x**4 + 316 - 77/3*x**3 + 35*x**2. Factor d(v).
(v - 4)*(v - 1)*(15*v - 2)
Factor 1552/7*f**2 + 1560/7 - 4/7*f**3 + 3116/7*f.
-4*(f - 390)*(f + 1)**2/7
Let b(s) be the third derivative of -s**5/360 - s**4/18 + 5*s**3/9 - 1757*s**2. Factor b(x).
-(x - 2)*(x + 10)/6
Let s = 13306/3 + -66521/15. Solve -3/5*g**2 - s - 6/5*g = 0.
-1
Let s = -556 - -833. Factor -4*t**2 - s + 301 - 3*t - t.
-4*(t - 2)*(t + 3)
Let w(g) be the first derivative of -1210*g**3/21 + 1216*g**2/7 - 24*g/7 + 2003. Solve w(d) = 0.
6/605, 2
Suppose -12*r - 143 + 167 = 0. Determine k so that -39*k**2 + 16 - 16*k + 77*k**r - 16 + 36 - 39*k**2 = 0.
-18, 2
Let a be 125/(-250)*(0 - 0). Let l(j) be the first derivative of 3/10*j**5 - 3/8*j**4 + 0*j**3 + a*j**2 + 0*j + 26. Suppose l(i) = 0. What is i?
0, 1
Let s(y) be the third derivative of -y**6/540 - 3*y**5/5 + 55*y**4/9 - 664*y**3/27 + 536*y**2. Suppose s(n) = 0. Calculate n.
-166, 2
Factor -18/19*t - 28/19 - 2/19*t**2.
-2*(t + 2)*(t + 7)/19
Let l(v) = -4*v**3 - 29*v**2 - 69*v - 52. Let k be l(-3). Factor 64/9*b + 22/3 - 2/9*b**k.
-2*(b - 33)*(b + 1)/9
Let p = 10910492/15 + -727360. Factor p*b**2 + 54/5 - 32/15*b**3 + 96/5*b + 2/15*b**4.
2*(b - 9)**2*(b + 1)**2/15
Let d(p) = 11*p**3 - 65*p**2 - 70*p. Let c(o) = 10*o**3 - 65*o**2 - 70*o. Let y(b) = 6*c(b) - 5*d(b). Find u, given that y(u) = 0.
-1, 0, 14
Let v = -858 + 859. Let h be 533/(-164) - (-4)/v. Factor 0*t + 0 - h*t**2 - 3/4*t**3.
-3*t**2*(t + 1)/4
Let x = 612/5 + -122. Let m(j) = 373*j - 55575. Let h be m(149). Factor 2/5*y**3 - 8/5*y + 0 - x*y**4 + 8/5*y**h.
-2*y*(y - 2)*(y - 1)*(y + 2)/5
Let y(a) = -4*a**4 + 46*a**3 + 404*a**2 + 648*a + 301. Let t(r) = r**4 + r**3 - r**2 - 7*r + 1. Let c(u) = -t(u) + y(u). Factor c(q).
-5*(q - 15)*(q + 1)**2*(q + 4)
Let p(y) be the third derivative of 0 - 1/210*y**5 - 1/21*y**4 - 62*y**2 + 0*y + 5/21*y**3. Factor p(j).
-2*(j - 1)*(j + 5)/7
Let w(b) be the second derivative of b**6/195 + 7*b**5/65 + 15*b**4/26 + 27*b + 44. Factor w(z).
2*z**2*(z + 5)*(z + 9)/13
Let c be 3 - (1 + -1 - 4). Let a(u) = 3*u**3 + 7*u**2 - 7*u - 7. Let d(w) = -w**3 - 2*w**2 + 2*w + 2. Let f = 23 - 21. Let m(i) = c*d(i) + f*a(i). Factor m(l).
-l**3
Suppose -1120*c - 940800 - 1/3*c**2 = 0. What is c?
-1680
Factor -16/11*g**2 + 24/11*g + 288/11 - 2/11*g**3.
-2*(g - 4)*(g + 6)**2/11
Let q = 4147/1939 - 355/277. What is g in -4/7*g - 2/7*g**2 + q = 0?
-3, 1
Suppose z + 250 = 6*z + 5*w, 0 = -2*z - w + 98. Let t be z/5 + 32/(-4). Factor 2/5*i**4 + 12/5*i**2 + 2/5 + t*i**3 + 8/5*i.
2*(i + 1)**4/5
Let x(w) be the first derivative of 7/5*w**2 + 2/15*w**3 + 0*w + 26. Factor x(z).
2*z*(z + 7)/5
Suppose -2/3*q**3 - 142/3 - 286/3*q - 146/3*q**2 = 0. What is q?
-71, -1
Let j(n) be the first derivative of 8*n**3/3 - 6*n**2 - 23*n + 1. Let k(p) = 4 - 3*p - 1 + 3*p + p**2 + p - 4. Let r(f) = j(f) - 3*k(f). Solve r(t) = 0.
-1, 4
Let s(l) be the first derivative of -3*l**4/20 + 27*l**3/5 - 15*l**2 - 266. Suppose s(f) = 0. What is f?
0, 2, 25
Let l be ((-13850)/40)/((-9)/(-12)). Let d = l - -462. Factor -2/3*v**3 + 0 - 5/6*v**4 - d*v**5 + 0*v - 1/6*v**2.
-v**2*(v + 1)**2*(2*v + 1)/6
Suppose -34*t = 18 + 16. Let x be 4/(-4)*162/t. Factor -3/4*c**4 - 648*c - 18*c**3 - 972 - x*c**2.
-3*(c + 6)**4/4
Let f = -3 - -30. Let n = -24 + f. Find y, given that -6*y + 0*y**n + 7*y - y**3 + 0*y = 0.
-1, 0, 1
What is p in 320 - 8505*p + 1579 + 2*p**2 + 8703*p + 337 = 0?
-86, -13
Let f(g) = g**3 - 13*g**2 + g - 1. Let w(z) = -65*z**