 + v + 2*j - 924 = 0. Let k = v + -225. Factor k - 5/3*f**3 - 28/3*f**2 - 11*f.
-(f + 3)**2*(5*f - 2)/3
Let d be 220/200 + (-1)/2. Suppose -121*a - 128 = -185*a. What is n in -192/5 - 48/5*n - d*n**a = 0?
-8
Suppose 2*u = -157 + 165. Let s(h) = -7*h**3 + 13*h + 2. Let k(x) = -57*x**3 + 105*x + 15. Let a(i) = u*k(i) - 33*s(i). Factor a(f).
3*(f - 2)*(f + 1)**2
Let w(t) be the first derivative of -2*t**5/35 + 9*t**4/14 + 26*t**3 + 161*t**2 + 248. Suppose w(u) = 0. Calculate u.
-7, 0, 23
Factor -2*i**5 + 57*i**2 - 650*i**2 + 36*i**4 + 5*i**5 - 338*i**2 + 163*i**2.
3*i**2*(i - 4)*(i + 8)**2
Let g(x) = -x**3 - 5*x**2 + 2*x - 8. Let a be g(-6). Suppose p = a*p + p. What is s in -21/4*s**3 + p + 0*s + 9/2*s**2 = 0?
0, 6/7
Let i = -214 - -234. Factor -i*q - 7*q**4 + 12*q**4 + 31*q**2 - 25*q**3 + 9*q**2.
5*q*(q - 2)**2*(q - 1)
Let u be 31 + -42 + ((-26)/4)/(17/(-34)). Solve 16/9*j**3 - 20/9*j**u + 4/9*j**4 + 0 + 0*j = 0.
-5, 0, 1
Factor 5*i**4 + 88*i - 4*i**4 + 67*i**2 - 71*i**2 - 88*i**3 + 3*i**4.
4*i*(i - 22)*(i - 1)*(i + 1)
Let h(d) = -1. Let g(w) = 61 + 132*w + 15 - 28 + 40*w**2. Let a(c) = -g(c) - 12*h(c). Determine l, given that a(l) = 0.
-3, -3/10
Let m(p) be the third derivative of -p**5/40 + 47*p**4/48 + 95*p**3/6 + 2535*p**2. Factor m(n).
-(n - 19)*(3*n + 10)/2
Determine m, given that 578*m + 3*m**4 + 76*m - 135*m**2 - 7*m**3 - 138*m - 5*m**3 - 588 + 72*m = 0.
-7, 2, 7
Let h = 189 + -185. Suppose 17*p**2 - 45*p**2 + 39*p - 36 + h*p**3 + 21*p = 0. What is p?
1, 3
Let z(j) be the third derivative of j**6/240 + j**5/20 - 21*j**4/16 - 65*j**3/6 + 128*j**2. Let m(q) be the first derivative of z(q). Factor m(d).
3*(d - 3)*(d + 7)/2
Let s be (-9018)/(-563625) - 617/(-500). Factor 0 - 1/8*d**3 - 25/8*d - s*d**2.
-d*(d + 5)**2/8
Let b be ((-33)/55)/((-3)/20). Let l(t) be the third derivative of 2/9*t**3 - 1/18*t**b + 14*t**2 + 0*t + 1/180*t**5 + 0. Factor l(k).
(k - 2)**2/3
Let w be 32/(-80) + 74/10. Let k(z) = -z**2 + 6*z + 10. Let n be k(w). Suppose 10*y**n + 15*y - 9*y + 2*y**4 + 14*y**2 + 0*y**4 = 0. What is y?
-3, -1, 0
Let 48*u**5 + 104805*u**2 - 2673*u + 7817*u**3 + 3590*u**3 + 2736*u**4 + 31358*u**3 - 6561 = 0. Calculate u.
-27, -3, -1/4, 1/4
Let m(b) be the first derivative of -16/7*b**2 - 25*b + 34 + 1/21*b**4 + 4/21*b**3. Let k(i) be the first derivative of m(i). Factor k(x).
4*(x - 2)*(x + 4)/7
Let y = 90 + -88. Factor 5*s**4 + 293*s**3 + s**2 - 10*s - 283*s**3 - 6*s**y.
5*s*(s - 1)*(s + 1)*(s + 2)
Let n(x) be the first derivative of 0*x + 13/15*x**3 + 2/5*x**2 + 3/20*x**4 + 296. Factor n(v).
v*(v + 4)*(3*v + 1)/5
Let c(t) be the third derivative of t**7/42 - 238*t**2 - 2*t. Solve c(i) = 0 for i.
0
Let q = -5145 + 5147. Let r(t) be the third derivative of -19*t**q + 0 + 1/12*t**5 + 0*t - 5/12*t**4 + 0*t**3. Suppose r(y) = 0. What is y?
0, 2
Let w(h) = -h**2 - 14*h + 1. Let c be w(-14). Let b(j) = -6*j**2 + 12*j + 34. Let f(v) = -v**2 - v + 2. Let r(a) = c*b(a) - 8*f(a). Factor r(p).
2*(p + 1)*(p + 9)
Let l(h) be the second derivative of -h**7/28 + 3*h**6/4 - 141*h**5/40 + 29*h**4/8 + 12*h**3 - 33*h**2 + 15*h + 45. Suppose l(b) = 0. Calculate b.
-1, 1, 2, 11
Suppose 94 = 3*x + c + 76, 0 = 5*x - 3*c + 26. Suppose 0 = -5*q - 4*l + 104, -84 = -0*q - 3*q + 3*l. Suppose 8*n - 2/3*n**x - q = 0. What is n?
6
Let p(w) = w**3 + w**2 - 243*w + 2. Let d be p(0). Let -2/17*a**d - 4*a - 34 = 0. What is a?
-17
Let w(z) be the second derivative of 2*z**7/35 - 32*z**6/15 + 666*z**5/25 - 112*z**4 - 1274*z**3/15 + z + 1703. Suppose w(q) = 0. What is q?
-1/3, 0, 7, 13
Let k be (-110)/44*4/(-10). Let m be ((-5)/(-45))/(k/6)*6. Find f, given that -35*f**3 + 3*f**5 + 32*f**3 + 5*f**4 + 2*f**2 + 4*f**m - 11*f**2 = 0.
-3, -1, 0, 1
Factor -424*y**3 - 559682/5 - 563916/5*y**2 - 2/5*y**4 - 224296*y.
-2*(y + 1)**2*(y + 529)**2/5
Let u(s) = -s**3 + 8*s**2 + 2*s - 12. Let x be u(8). Suppose 14*o**2 + 3*o**2 + 56*o**4 + 36*o + 20 + 50*o**x - 107*o**4 = 0. Calculate o.
-2, -1, 5
Let q be (-16)/6 - (-1380)/180. Let a(f) be the first derivative of 3*f**3 - 15/2*f**2 - 12*f + 11 + 3/5*f**q + 15/4*f**4. Factor a(j).
3*(j - 1)*(j + 1)**2*(j + 4)
Let a be -1 + 1/((1/4)/(153/204)). Determine c so that -4/17*c**4 - 4/17 - 2/17*c**5 + 4/17*c**3 - 2/17*c + 8/17*c**a = 0.
-2, -1, 1
Let d be ((-5)/(-3))/(1215/2916). Let j(p) be the first derivative of -1/12*p**d + 8/3*p**2 + 6 + 20/3*p + 1/9*p**3. Factor j(s).
-(s - 5)*(s + 2)**2/3
Suppose 2 = 8*f - 14. Suppose -17*m**4 + 18*m**2 + 12*m + 18*m**f + 9*m**5 - 7*m**4 - 9*m**3 = 0. What is m?
-1, -1/3, 0, 2
Let c(w) = -810*w + 2432. Let y be c(3). Let a = -4197/5 - -845. Let 98/5 + a*o + 2/5*o**y = 0. What is o?
-7
Let m(o) = -50*o + 54. Let s be m(1). Suppose 4*t = 3*a - 22, -43*a + s*t + 24 = -39*a. Factor -3/4*j**a + 3/2*j + 6.
-3*(j - 4)*(j + 2)/4
Let x = 43428 + -86853/2. Factor 12*r + x*r**2 + 21/2.
3*(r + 1)*(r + 7)/2
Let d = 48 - -52. Let f = d - 98. Factor -8*g**2 + 0*g**2 - g**f + 5*g**2.
-4*g**2
Let v(y) be the second derivative of 2*y**7/21 + 2*y**6/5 - 9*y**5/5 - 23*y**4/3 - 8*y**3 + 345*y. Suppose v(f) = 0. What is f?
-4, -1, 0, 3
Factor -24*v**3 + 2726*v - 2726*v + 2*v**4 + 64*v**2.
2*v**2*(v - 8)*(v - 4)
Suppose 5*m = i - 0*i + 15, -4*m + 4*i = -28. Suppose 0 = t - 5*u - 8, -2*t + 7 = -3*u - 2. Factor 2 + 2 + t*r**2 + m + 5*r - 4.
(r + 1)*(3*r + 2)
Let l = 155 + -156. Let z(b) = -51*b - 51. Let v be z(l). Determine r so that -5/2*r**4 + v - 15/2*r**2 + 5/2*r + 15/2*r**3 = 0.
0, 1
Solve 32/3*n + 34*n**2 - 32 - 34/3*n**3 - 2*n**4 + 2/3*n**5 = 0 for n.
-4, -1, 1, 3, 4
Let k be -2 + (1 - 1) + 3 + -341. Let s = k - -342. Factor 8/9*b**3 - s*b + 4/9 + 2/3*b**2.
2*(b - 1)*(b + 2)*(4*b - 1)/9
Let l(o) be the third derivative of -o**7/1575 + 17*o**6/900 - 29*o**5/450 - 17*o**4/180 + 2*o**3/3 - 15757*o**2. Determine t so that l(t) = 0.
-1, 1, 2, 15
Find n such that 35*n**4 - 178*n**3 - 110*n - 26*n**3 + 9*n**3 + 5*n**5 + 265*n**2 = 0.
-11, 0, 1, 2
Factor 4*x**2 + 76 + 881 + x**2 - 111 + 845*x - 6*x**2.
-(x - 846)*(x + 1)
Let d(z) = -7*z**2 - 7*z + 8. Let k = 81 - 78. Let c(r) = 76*r**2 + 76*r - 88. Let l(o) = k*c(o) + 32*d(o). Let l(h) = 0. What is h?
-2, 1
Factor -192*q + 2/3*q**2 - 578/3.
2*(q - 289)*(q + 1)/3
Suppose 263*y - 2828 = -444*y. Factor 0 + 0*f - 1/2*f**y + 0*f**2 + 0*f**3 - 1/2*f**5.
-f**4*(f + 1)/2
Let m(q) be the first derivative of 6*q**4 + 0*q + 2*q**5 + 1/6*q**6 + 22/3*q**3 + 50 + 7/2*q**2. Factor m(w).
w*(w + 1)**3*(w + 7)
Let b(r) = -r + 7. Let a be b(4). Factor 11*i**3 - 2*i**4 - 35*i**a + 14*i**3 + 6*i**3.
-2*i**3*(i + 2)
Find x such that -46*x + 23*x**2 + 7*x**3 + 16*x + 4*x + 16*x - 2*x**3 = 0.
-5, 0, 2/5
Suppose 0 + 2/3*v**3 + 174*v**2 + 0*v = 0. Calculate v.
-261, 0
Let p be 0 - (-3 - -9)/(-2). Let x be ((-1002)/5678)/(6/8)*34/(-4). Determine j, given that 0 + j**p - 1/3*j**4 - 4/3*j + 0*j**x = 0.
-1, 0, 2
Let m(n) be the third derivative of n**10/45360 - n**8/5040 + n**6/1080 + 13*n**4/12 - 28*n**2. Let b(d) be the second derivative of m(d). Factor b(v).
2*v*(v - 1)**2*(v + 1)**2/3
Determine x so that -72 + 3/7*x**2 - 246/7*x = 0.
-2, 84
Suppose 115600 - 680*p - 5*p**2 - 9*p**2 - 14*p**2 + 29*p**2 = 0. Calculate p.
340
Let y(b) = 4*b**4 - 578*b**3 + 2*b**2 + 4*b. Let k(w) = 13*w**4 - 1734*w**3 + 7*w**2 + 14*w. Let t(p) = 4*k(p) - 14*y(p). Let t(u) = 0. What is u?
0, 289
Let j(l) be the first derivative of 20/3*l**3 - 34 + 18*l + 84/5*l**2 + 2/25*l**5 + 6/5*l**4. Factor j(s).
2*(s + 1)*(s + 3)**2*(s + 5)/5
Let a(h) be the second derivative of 0 - h**5 - 1/6*h**6 + 0*h**3 - 30*h + 0*h**4 + 0*h**2. Factor a(y).
-5*y**3*(y + 4)
Let w(c) be the second derivative of 21125*c**6/33 - 20995*c**5/11 + 34343*c**4/22 + 1292*c**3/33 + 4*c**2/11 + 24*c + 8. Find k such that w(k) = 0.
-2/325, 1
Let u be (-11)/(-2) + 127/((-357632)/12416). Let b = -262 + 2890/11. Solve -u*r**2 - 2/11 + 8/11*r**3 + b*r - 2/11*r**4 = 0.
1
Let -4/17*x - 2/17*x**2 - 2/17 = 0. Calculate x.
-1
Let g(u) be the third derivative of u**6/360 - 7*u**5/60 + 5*u**3 - 21*u**2 + u. Let n(m) be the first derivative of g(m). Solve n(t) = 0 for t.
0, 14
Let s(d) be the third derivative of d**6/240 - 11*d**5/40 + 121*d**4/16 + 3*d**3/2 - d**2 - 8*d. Let n(z) be the first derivative of s(z). Factor n(m).
3*(m - 11)**2/2
Let o(p) be the second derivati