*y**3 - 18/5*y**2 - 54/5*y + 2/5*y**g + 0 = 0?
-3, 0, 3
Let a(n) = 1 + 0*n**2 + 6*n**2 - 4*n**2 - 7 + 7*n. Let h be a(1). Let 13 + 6*c - h*c**2 - 5 - 11 = 0. What is c?
1
Suppose -2842*a - 657 - 183*a + 1020*a**2 - 308 + 1616 - 5*a**3 + 1359 = 0. What is a?
1, 2, 201
Suppose -66*f + 1252 + 1247 - 2301 = 0. Suppose -1600/7 + 2/7*n**f + 76/7*n**2 + 640/7*n = 0. Calculate n.
-20, 2
Let g(s) be the first derivative of -60/13*s + 2/39*s**3 - 61 - 1/13*s**2. Find v, given that g(v) = 0.
-5, 6
Find i, given that -5*i**4 - 41*i**3 - 3*i**2 + 57*i**3 - 6*i + 14*i**2 - 4*i**3 = 0.
-1, 0, 2/5, 3
Suppose 9*i + 6 = 24. Suppose 4*b - i*q = -0 + 14, -4*b - 3*q = -19. Factor 15*z**b + 1073*z + 3*z**5 - 1097*z + 18*z**3 - z**2 - 11*z**2.
3*z*(z - 1)*(z + 2)**3
Let h(n) be the third derivative of n**8/2240 + n**7/140 + 3*n**6/80 + n**5/10 + 25*n**4/24 - 52*n**2. Let d(b) be the second derivative of h(b). Factor d(t).
3*(t + 1)**2*(t + 4)
Let c(l) be the third derivative of 0*l - 7*l**2 + 1/15*l**5 + 4/3*l**3 + 3 + 5/12*l**4 + 1/240*l**6. Factor c(b).
(b + 2)**2*(b + 4)/2
Let k(d) be the third derivative of -d**7/1155 + d**6/33 + 7*d**5/330 - 67*d**4/66 - 40*d**3/11 - 9294*d**2. Let k(a) = 0. Calculate a.
-2, -1, 3, 20
Let b(n) = -6*n**2 + 3716*n - 580334. Let p(w) = 2*w**2 - 1238*w + 193445. Let c(d) = -3*b(d) - 8*p(d). Suppose c(x) = 0. What is x?
311
Suppose 24*k**2 - 14*k**2 - 18*k**2 - 631 - 315*k + 1843 + 11*k**2 = 0. What is k?
4, 101
Factor 0 + 64/9*w**4 - 500/9*w - 40*w**3 + 800/9*w**2 - 4/9*w**5.
-4*w*(w - 5)**3*(w - 1)/9
Let i(x) = -28*x**2 - 4112*x + 1166384. Let m(n) = 2*n**2 - 13*n + 1. Let q(k) = -i(k) - 16*m(k). Determine s, given that q(s) = 0.
540
Let g(k) = 7*k**3 - 2790*k**2 - 5583*k - 2789. Let j(t) = 36*t**3 - 13952*t**2 - 27916*t - 13944. Let d(v) = -16*g(v) + 3*j(v). Find h, given that d(h) = 0.
-1, 698
Suppose 1/4*i**2 + 4652649/4 + 2157/2*i = 0. Calculate i.
-2157
Let s(i) = 89*i**2 - 59*i - 151. Let g(v) = 58*v**2 - 58*v - 154. Let t(m) = 3*g(m) - 2*s(m). Factor t(w).
-4*(w + 4)*(w + 10)
Factor -35033*y**2 - 1/4*y**5 + 165731/4*y - 79/2*y**4 - 4133/2*y**3 + 148877/2.
-(y - 2)*(y + 1)*(y + 53)**3/4
Let f(l) be the third derivative of l**5/12 - 2965*l**4/12 - 5935*l**3/6 - 3303*l**2. Determine n so that f(n) = 0.
-1, 1187
Let t(m) be the first derivative of 5*m**6/24 - 5*m**5/4 + 5*m**4/8 + 25*m**3/3 - 15*m**2 - 1105. Let t(b) = 0. What is b?
-2, 0, 2, 3
Let l(y) be the first derivative of -y**4/20 - 544*y**3/5 - 443904*y**2/5 - 160989184*y/5 - 1737. Determine o so that l(o) = 0.
-544
Suppose -5*t = 18 + 2, l + t - 14 = 0. Let z be (-1)/(-5)*(l - (2 + -2)). Determine r so that -2/5*r**5 - 96/5*r + 112/5*r**2 + 32/5 - 64/5*r**3 + z*r**4 = 0.
1, 2
Let y be ((-3497)/(-455) - (-18)/(-63)) + -7. Factor y*k - 13/5*k**2 + 3/5*k**3 + 8/5.
(k - 4)*(k - 1)*(3*k + 2)/5
Let i be ((-1)/(14/(-66)))/21. Let p = i - -16/147. Factor 1/3*u**2 + u**3 - u + p*u**4 - 2/3.
(u - 1)*(u + 1)**2*(u + 2)/3
Let r(z) be the third derivative of -z**6/480 + 3*z**4/32 - 2887*z**2. Let r(w) = 0. What is w?
-3, 0, 3
Let h be (-16)/10*(45/(-6))/3. Determine w, given that 131*w - 131*w + w**2 - h*w**2 + 12 = 0.
-2, 2
Let u be (-16)/(-6) - 2/(-12)*-4. Suppose 5*z - 5 = 0, -20 = -2*o - o - u*z. Determine i, given that -i**3 - o*i**3 + i**3 + i**3 + 5*i**4 = 0.
0, 1
Let w = -166228/7 + 23747. Factor -s**3 + 0 - 6/7*s**2 - w*s**4 + 0*s.
-s**2*(s + 1)*(s + 6)/7
Solve 2148/7*d**2 - 55233/7*d + 15606/7 - 3*d**3 = 0.
2/7, 51
Let n(l) = 2779*l**3 - 483729*l**2 + 360533*l + 120409. Let y(k) = -k**4 + 3*k**2. Let v(f) = -n(f) - 4*y(f). Factor v(h).
(h - 347)**2*(h - 1)*(4*h + 1)
Let y be (-4376)/(-230) - 1336/(-7682). Factor 32/5*x - 54/5*x**3 + y*x**2 + 7/5*x**4 + 0.
x*(x - 4)**2*(7*x + 2)/5
Let a = 191 + -484. Let f = a - -298. Find u, given that -2*u**3 + 0 + 4*u**f - 26/3*u**4 + 8*u**2 - 8/3*u = 0.
-1, 0, 1/2, 2/3, 2
Suppose 104*c - 110*c = -534. Suppose c*g - 82*g = 0. Find z, given that 1/10*z**3 - 1/10*z + g*z**2 + 0 = 0.
-1, 0, 1
Let j = -5136 - -15410/3. Factor -j*h**2 + 2*h + 0.
-2*h*(h - 3)/3
Let c = 18924 - 18922. Solve 0 + 0*b**c + 0*b - 2/11*b**4 + 2/11*b**3 = 0 for b.
0, 1
Let x(k) be the second derivative of k**4/3 + 364*k**3/3 - 1110*k**2 - 157*k + 8. Suppose x(j) = 0. What is j?
-185, 3
Let q be (10 + (-6 - 4))*(6 - 7). Let k(t) be the second derivative of -1/250*t**5 - 8*t - 1/30*t**4 + 0 + q*t**2 - 2/25*t**3. Determine z, given that k(z) = 0.
-3, -2, 0
Let u(m) = -6*m**2 + 642*m + 5367. Let d(z) = z**2 - 160*z - 1343. Let b(l) = -9*d(l) - 2*u(l). Solve b(f) = 0.
-41, -11
Let q(d) be the second derivative of -d**7/21 + 28*d**6/15 - 66*d**5/5 - 448*d**4/3 - 1024*d**3/3 - 1865*d. Suppose q(f) = 0. What is f?
-2, 0, 16
Suppose -4*q = -18 + 6. Solve 12*b**2 + 17 - 4 + 25*b + 3 - 10 - 7*b**q = 0.
-1, -2/7, 3
Let s be (-161)/(-69) + -10 + 6 + 4 + -2. Determine g so that -4913/3 + 289*g - 17*g**2 + s*g**3 = 0.
17
Let 84/5*v**3 + 332/5*v + 132/5 + 276/5*v**2 + 8/5*v**4 = 0. Calculate v.
-11/2, -3, -1
Let r(t) be the third derivative of -32/33*t**3 + 91*t**2 + 1/44*t**5 + 1/1320*t**6 + 2/11*t**4 + 0*t + 0. Let r(j) = 0. Calculate j.
-8, 1
Let f(b) be the first derivative of b**3 - 1/10*b**5 + 0*b - 16 - 2/3*b**4 + 9*b**2. Let a(x) be the second derivative of f(x). Let a(i) = 0. What is i?
-3, 1/3
Let j(g) be the third derivative of -1/21*g**7 - 5/24*g**4 + 0 + 5/24*g**6 + 14*g + 5/6*g**3 - 1/4*g**5 + 2*g**2. Suppose j(v) = 0. What is v?
-1/2, 1
Suppose 0 = -32*y + 60*y - 756. Let n be 1 + (63/y)/(-7). Factor 0 + 2/3*h**2 - 2/3*h**4 - 2/3*h + n*h**3.
-2*h*(h - 1)**2*(h + 1)/3
Let d(f) be the second derivative of f**4/12 - 348*f**3 + 544968*f**2 - 737*f. Find u such that d(u) = 0.
1044
Suppose 30*v = 25*v - 5. Let g(j) = -3*j**3 - j**2 + j + 1. Let k be g(v). Factor 3*t**3 - 22*t**4 + 28*t**4 + t**5 + k*t**5 + 0*t**5.
3*t**3*(t + 1)**2
Let c(g) be the first derivative of g**3/18 - 1103*g**2/2 + 3649827*g/2 + 4081. What is t in c(t) = 0?
3309
Suppose -4*p + 6 = 2*f, -326 = -5*p + f - 315. Factor 2/3*x**5 - p*x**3 + 0*x - 4/3*x**2 + 0*x**4 + 0.
2*x**2*(x - 2)*(x + 1)**2/3
Factor 7*m**3 - 3*m**3 + 1901*m - 3*m**3 + 0*m**3 - 1452 + 41*m**2 - 1549*m.
(m - 3)*(m + 22)**2
Let l = 119 - -97. Let g be (-72)/l + 2/3. Factor 4/3 - 8/3*h**3 - 2/3*h**2 + 7/3*h - 2/3*h**4 + g*h**5.
(h - 4)*(h - 1)*(h + 1)**3/3
Let f(u) be the third derivative of -u**8/36 - 68*u**7/315 + u**6/5 + 64*u**5/45 - 11*u**4/18 - 20*u**3/3 - 547*u**2 - u. Determine i so that f(i) = 0.
-5, -1, -6/7, 1
Let o(u) = -u**2 - 179*u - 354. Let j(c) = c**2 + 359*c + 714. Let t(q) = -6*j(q) - 11*o(q). Factor t(p).
5*(p - 39)*(p + 2)
Suppose 17*j + 36*j - 38 - 68 = 0. Let p = 133/6 - 77/6. Factor -1/3*i**j - 196/3 - p*i.
-(i + 14)**2/3
Let d be (-8)/(200/(-15)) + 132/5. Suppose 14*k - 18*k + 13 = z, d = k + 5*z. Factor -8/7*u - 4/7*u**k - 4/7.
-4*(u + 1)**2/7
Let b = 17 + -37. Let t be 25/b - 45/(-36). Solve 0*j + 0*j**2 + 1/5*j**4 + 2/5*j**3 + t = 0.
-2, 0
Let z(n) = n**2 - 11*n + 27. Let w be z(8). Factor -98*i**3 - 8*i**2 + 195*i**w - 8*i - 99*i**3.
-2*i*(i + 2)**2
Let s be -25*(9 + 7367/(-795)). Factor 0 - s*d + 2/3*d**3 + 2*d**2.
2*d*(d - 2)*(d + 5)/3
Solve 2/9*d**3 + 232/9*d**2 + 0 + 0*d = 0.
-116, 0
Suppose 436/3 + 214/3*j - 2/3*j**2 = 0. What is j?
-2, 109
Let d(o) = 13*o - 242. Let q be d(19). Factor 4*f**2 + 662 + 15*f - 646 + q*f.
4*(f + 1)*(f + 4)
Factor -14/13*a**2 + 32/13*a + 2/13*a**3 - 24/13.
2*(a - 3)*(a - 2)**2/13
Factor 56/15*w + 8/5*w**2 + 0 - 2/15*w**3.
-2*w*(w - 14)*(w + 2)/15
Let o(p) be the first derivative of 1/2*p**4 + 8*p**3 + 36*p**2 + 0*p - 58. Factor o(h).
2*h*(h + 6)**2
Let d(i) be the third derivative of i**5/30 - 37*i**4/10 + 88*i**3/15 + 77*i**2 + 2. Factor d(x).
2*(x - 44)*(5*x - 2)/5
Let b(v) be the second derivative of 3*v**5/40 + 1137*v**4/4 + 430923*v**3 + 326639634*v**2 - 3*v + 639. Factor b(j).
3*(j + 758)**3/2
Let n be (5 - 3)*39/26. Determine h so that 39*h**2 + 12 + 18*h**n + h**4 + 27*h - 3*h**4 + 9*h + 5*h**4 = 0.
-2, -1
Let u(h) be the first derivative of -729*h**4/5 - 4248*h**3 + 4744*h**2/5 - 352*h/5 + 1943. Determine a, given that u(a) = 0.
-22, 2/27
Let i be (67/180 - (-86)/344) + (-10)/45. Factor -i*k**2 - 8/5 - 2*k.
-2*(k + 1)*(k + 4)/5
Let r(v) = -v**3 - 2*v + 1. Let 