(n - 3)*(n - 1)*(n + 12)
Let u(m) = -4*m**2 - 2*m - 2. Let n(a) = -19*a**2 + 237*a - 258. Let j(x) = -3*n(x) + 15*u(x). Let j(f) = 0. What is f?
-248, 1
Suppose -23*w - 281 + 74 = 0. Let z(b) = 23*b + 210. Let a be z(w). Solve -6/5*t - 21/5*t**2 - a*t**4 - 27/5*t**3 - 3/5*t**5 + 0 = 0 for t.
-2, -1, 0
Let v = 203626294/502110929 - 2/6954445. Let t = -2/361 + v. Let 2/5*u + 0 + t*u**2 = 0. Calculate u.
-1, 0
Let w = 160 - 112. Suppose w = 6*i + 24. Solve 12*x + 8*x**2 + 3 + 3*x**i + 0 + 12*x**3 + 0 + 10*x**2 = 0 for x.
-1
Solve -189*w**3 + 174*w**2 - 115 - 15*w**4 - 17 + 555*w**3 - 95*w**2 + 600*w - 898*w**2 = 0.
2/5, 1, 22
Let n(g) be the first derivative of -5*g**4/36 - 8*g**3/9 + 8*g**2/3 + 177*g + 30. Let q(x) be the first derivative of n(x). Factor q(l).
-(l + 4)*(5*l - 4)/3
Let u = 2640 - 781. Let v = 13067/7 - u. Find d such that v*d**2 + 8/7*d**4 - 8/7 - 16/7*d - 38/7*d**3 = 0.
-1/4, 1, 2
Let l(p) be the second derivative of -p**5/10 + 113*p**4/6 + 2849*p**3/3 + 16335*p**2 - 202*p - 3. Factor l(a).
-2*(a - 135)*(a + 11)**2
Factor -5/2*d**2 - 420 + 65*d.
-5*(d - 14)*(d - 12)/2
Let w(j) = j**2 - 47*j + 314. Let s = -780 - -819. Let v be w(s). Factor -1/2*h**v + 1/2 + 0*h.
-(h - 1)*(h + 1)/2
Let 124/5 - 74/3*w**2 - 26/3*w**3 - 2/15*w**4 + 26/3*w = 0. Calculate w.
-62, -3, -1, 1
Suppose x + 82 = -x. Let s = x + 45. Factor -65*i + 9*i - s - 82*i**2 + 30*i**2.
-4*(i + 1)*(13*i + 1)
Let m be ((-135)/(-4))/27 - (81/(-12) + -2). Factor 5/3*k**3 + 15*k + 20/3 + m*k**2.
5*(k + 1)**2*(k + 4)/3
Let u be 69977/6612 + (-234)/24. Factor -20/3*z**2 - u*z**3 - 40 + 110/3*z.
-5*(z - 2)**2*(z + 12)/6
Let w(f) be the second derivative of -3/80*f**5 - 3/2*f**2 - 23/48*f**4 - 1/168*f**7 + 4/3*f**3 + 12*f + 7/120*f**6 + 0. Find p such that w(p) = 0.
-2, 1, 6
Let r(b) be the first derivative of -16/15*b**3 + 278 + 2/25*b**5 + 0*b + 1/2*b**4 - 12/5*b**2. Factor r(p).
2*p*(p - 2)*(p + 1)*(p + 6)/5
Suppose 4*o + 10 = 5*m - 6*m, -20 = 5*o. Suppose -n = m*d - 3*d + 8, -5*n = 5*d. Factor -1/7*a**n + 0 - 2/7*a - 5/7*a**2 - 4/7*a**3.
-a*(a + 1)**2*(a + 2)/7
Let 6*v**2 + 0 - 19/3*v + 1/3*v**3 = 0. What is v?
-19, 0, 1
Let -1/3*o**2 + 52*o + 159 = 0. Calculate o.
-3, 159
Let j(f) be the second derivative of -f**6/150 - 3*f**5/25 - f**4/3 - 791*f. Factor j(w).
-w**2*(w + 2)*(w + 10)/5
Determine m so that -3665*m + 4*m**3 + 854*m**2 + 2824 + 732*m**2 + 1899*m - 186*m**2 - 2462*m = 0.
-353, 1, 2
Let g be (-4)/(-64)*4 - 66/(-24). Suppose -8*p**3 + 0*p**g - 152*p**2 + 130*p**2 + 6*p = 0. What is p?
-3, 0, 1/4
Let f = -8566 - -8569. Let x(v) be the first derivative of 1/18*v**6 + 9 + 0*v**2 + 0*v**f + 0*v - 1/6*v**4 + 1/15*v**5. Let x(h) = 0. What is h?
-2, 0, 1
Let d(h) = -h**2 - 94*h + 12. Let k(c) = c**2 - c + 3. Let p be ((-160)/(-50))/(-4)*(0 - -5). Let a(y) = p*k(y) + d(y). Find o such that a(o) = 0.
-18, 0
Let r(f) = -4*f**2 + 882*f + 194416. Let p(l) = -7*l**2 + 1764*l + 388845. Let g(u) = 5*p(u) - 9*r(u). Solve g(o) = 0.
-441
Let a(m) be the first derivative of 0*m**2 + 45 + 0*m - 1/20*m**5 - 289/12*m**3 - 17/8*m**4. Factor a(y).
-y**2*(y + 17)**2/4
Find d, given that -242*d**2 + 0*d**3 - 225*d - 469*d - 401 + 6*d**3 + 659 = 0.
-3, 1/3, 43
Let d(t) = 10*t**2 - 7*t**4 + 11*t - 37*t**2 - 29*t**3 - 6*t. Let a(o) = -8*o**4 - 30*o**3 - 28*o**2 + 6*o. Let h(s) = 5*a(s) - 6*d(s). Solve h(m) = 0.
-11, -1, 0
Factor -18*w + 0 - 39/5*w**2 - 3/5*w**3.
-3*w*(w + 3)*(w + 10)/5
Let j(r) be the third derivative of 5/2*r**3 + 0*r - 11/24*r**6 + 35*r**2 + 55/24*r**4 + 0 - 4/21*r**7 + 5/12*r**5. Suppose j(q) = 0. What is q?
-1, -3/8, 1
Let 980*i - 147/2*i**4 + 9/2*i**5 + 0 + 437*i**3 - 1106*i**2 = 0. What is i?
0, 2, 14/3, 5
Let y be 135/30*72/30. Factor -36/5 - y*u**3 - 288/5*u**2 + 42*u.
-6*(u + 6)*(3*u - 1)**2/5
Determine a, given that -4/5*a**5 - 3092/5*a**3 + 4912/5*a**2 - 2448/5*a + 0 + 632/5*a**4 = 0.
0, 1, 2, 153
Suppose 4*w = -8, 4*q + 98 = -3*w + 28. Let v = 35 + q. Factor -13*y + v*y - 6*y - 20 + 5*y**2.
5*(y - 2)*(y + 2)
Let z be 113/(-2)*(0 + (-84)/10). Let b = z + -474. Factor -b*j**2 + 3/5*j**5 + 3/5*j**4 + 0 - 3/5*j**3 + 0*j.
3*j**2*(j - 1)*(j + 1)**2/5
Determine v, given that -521*v - 542*v**2 + 545*v**2 + 941*v = 0.
-140, 0
Let d(u) = -7707*u + 161850. Let l be d(21). Let -3/5*x**l - 4/5*x + 0 + 8/5*x**2 + 1/5*x**5 - 2/5*x**4 = 0. What is x?
-2, 0, 1, 2
Let r = 2512 + -20081/8. Let p(l) be the first derivative of -3/4*l + 15/8*l**4 + r*l**2 - 3/4*l**5 + 1/8*l**6 - 5/2*l**3 - 8. Factor p(v).
3*(v - 1)**5/4
Factor 560 - 5*c**2 - 14 + 15*c - 276.
-5*(c - 9)*(c + 6)
Suppose -14*d + 95 = 11. Suppose 2*f = -f - 4*i + d, -2*i - 4 = -2*f. Factor f - 21*p**2 + 6*p**3 + 3309*p - 3324*p + 10.
3*(p - 4)*(p + 1)*(2*p - 1)
Let f(v) = 2*v**3 + 7*v**2 + 23*v + 8. Let k(s) = 2*s**3 + 6*s**2 + 24*s + 8. Suppose 19*b = 15*b - 24. Let x(o) = b*f(o) + 5*k(o). Factor x(g).
-2*(g + 1)**2*(g + 4)
Let l = -19 - -19. Let p = -1/4657 - -9321/32599. Suppose -10/7*m**2 - p*m**3 + l + 0*m = 0. Calculate m.
-5, 0
Let c(b) = -b**3 + 21*b**2 - 54*b + 1675. Let n be c(22). Factor 3*y**n + 1/2*y + 0 - 2*y**2 + 1/2*y**5 - 2*y**4.
y*(y - 1)**4/2
Let t(p) be the second derivative of p - 1/6*p**3 - 1/2*p**2 + 1/12*p**4 + 1/20*p**5 + 30. Factor t(l).
(l - 1)*(l + 1)**2
Factor 2/15*t**3 + 158/15*t**2 + 608/3*t - 640/3.
2*(t - 1)*(t + 40)**2/15
Suppose -3/5*t**2 + 18/5*t + 216/5 = 0. Calculate t.
-6, 12
Let d be (-98)/(-11) + (-25)/(-275). Suppose -18 = -d*y - 0*y. Determine v, given that 2/11*v**3 + 0 - 12/11*v - 2/11*v**y = 0.
-2, 0, 3
Suppose 0 = -18*k + 42*k + 48. Let m be (-1 - 10 - -12)/(0 - k). Factor 0 + 1/2*o**2 + m*o.
o*(o + 1)/2
Let r = 212869 - 851459/4. Determine j, given that r*j - 9/2 + 1/4*j**2 = 0.
-18, 1
Suppose -5*d = c + 12, -3*c - 31 = 2*c - 4*d. Let g be 0/((12 - 3) + c). Factor -3*p**2 + 0*p + g - 3/2*p**3.
-3*p**2*(p + 2)/2
Let f = 85 + -88. Let i be ((-93)/(-9) + f)/((-1)/(-18)). Factor i*y**3 + 5*y - 68*y**3 + 5*y**5 - 74*y**3.
5*y*(y - 1)**2*(y + 1)**2
Let m(f) = -16*f**3 - 523*f**2 - 515*f + 1054. Let c(q) = -23*q**3 - 785*q**2 - 772*q + 1580. Let s(b) = 5*c(b) - 7*m(b). Factor s(t).
-3*(t - 1)*(t + 2)*(t + 87)
Factor 636/5 - 94*u**2 + 8/5*u**3 + 2426/5*u.
2*(u - 53)*(u - 6)*(4*u + 1)/5
Let w(h) be the second derivative of h**5 + 28*h + 2/15*h**6 - 2/21*h**7 - 5/3*h**4 + 8*h**2 + 0 - 8/3*h**3. Solve w(n) = 0 for n.
-2, -1, 1, 2
Let c = 8517 - 229957/27. Let m(a) be the first derivative of 5 + 2/3*a - 2/9*a**2 - c*a**3. Factor m(d).
-2*(d - 1)*(d + 3)/9
Let r be (2639/(-182))/((-22)/(-2340)). Let s = r - -1543. Factor -s*h**2 + 2/11*h**3 + 8/11*h + 0.
2*h*(h - 2)**2/11
Let g(n) be the third derivative of -n**9/90720 + n**8/7560 - n**7/2520 - 4*n**5/5 + 82*n**2. Let c(m) be the third derivative of g(m). Solve c(y) = 0 for y.
0, 1, 3
Let l(k) be the first derivative of k**4/4 + 43*k**3/9 - 22*k**2 + 68*k/3 + 1812. Solve l(a) = 0.
-17, 2/3, 2
Let 21*i**2 - 66113 + 16*i**3 + 3*i**4 + 66089 - 5*i + 32*i - 43*i**3 = 0. Calculate i.
-1, 1, 8
Let f(a) = -5*a**3 - 43*a**2 - 186*a - 212. Let u(b) = -5*b**3 - 46*b**2 - 187*b - 209. Let i(x) = 3*f(x) - 4*u(x). Factor i(m).
5*(m + 2)*(m + 4)*(m + 5)
Let r(w) be the second derivative of 2*w**4/5 - 119*w**3/30 - w**2/2 - 285*w - 1. Factor r(b).
(b - 5)*(24*b + 1)/5
Let q = -17773 + 17775. Find w such that -4/9*w**3 + 0 - 4/9*w**q + 8/9*w = 0.
-2, 0, 1
Suppose 308*l = 335*l - 81. Let x(t) be the second derivative of 0 - t + 1/22*t**4 - 13/33*t**l + 4/11*t**2. Suppose x(a) = 0. What is a?
1/3, 4
Suppose -27*u + 980 = -505. Determine m, given that 55 + u*m**2 + 20*m - 275 + 39041*m**3 - 39046*m**3 = 0.
-2, 2, 11
Let t(h) be the first derivative of -h**4/22 + 232*h**3/33 - 229*h**2/11 + 228*h/11 + 1229. Suppose t(o) = 0. What is o?
1, 114
Suppose 16*m = 11*m + 560. Let d be (-8)/(-280)*1135 + (-12)/28. Factor -86*a + 36*a - 2 + 43*a + m*a**3 + d*a**2.
(4*a - 1)*(4*a + 1)*(7*a + 2)
Let u = 389 + -388. Let a be (-7 - 27/(-3))/u. Factor 3/2*j**3 + 0*j**a - 9/2*j + 3.
3*(j - 1)**2*(j + 2)/2
Let j = -816557 - -816557. Find f such that 2/3*f**3 + 2*f**4 - 2*f**2 + j + 2/3*f**5 - 4/3*f = 0.
-2, -1, 0, 1
Suppose 0 = -4*h + 5*a - 2*a + 1, 4*a - 36 = -4*h. Suppose -2*q + 16 - 60 = -3*y, 56 = 4*y - h*q. Factor 31*f**2 - 15*f**2 + y*f - 6*f**4 - 4*f**3 + 2*f*