*3 - 7*h**2 + 18*h + 2. Let i be t(-9). Let v be i - 1 - (-7)/((-7)/1). Factor 0 + 0*l**2 + v*l + 3/7*l**4 - 3/7*l**5 + 0*l**3.
-3*l**4*(l - 1)/7
Let d be ((-8)/5)/(-2) - 304/1360*-28. Solve -d + 338/17*j**2 + 112/17*j - 158/17*j**3 - 282/17*j**4 - 18/17*j**5 = 0.
-15, -1, 2/3
Let 5 - 125*t**5 - 5 + 10*t**3 + 135*t**4 - 3*t**3 - 17*t**3 = 0. What is t?
0, 2/25, 1
Let b(s) be the first derivative of s**3 + 39*s**2/2 - 144*s - 609. Let b(d) = 0. Calculate d.
-16, 3
Suppose 5*l + 8*c = 6*c + 29, -28 = -4*c. Let r(d) be the second derivative of 2/15*d**4 + l*d + 0 - 3/5*d**2 + 1/15*d**3. Factor r(w).
2*(w + 1)*(4*w - 3)/5
Factor 0 - 1/3*i**3 - 1/3*i**4 - 275/3*i + 85/3*i**2.
-i*(i - 5)**2*(i + 11)/3
Factor 16/3*h**3 + 41/3*h**2 + 1/3*h**4 + 0 + 26/3*h.
h*(h + 1)*(h + 2)*(h + 13)/3
Let d(t) = 24 + 50 + 2*t - 56 + 9*t - 2*t**2. Let y(c) = 2*c**2 - 12*c - 16. Let o(f) = -4*d(f) - 3*y(f). Factor o(w).
2*(w - 6)*(w + 2)
Let k be 21*(70/(-21) - -4). Suppose 0 = 3*d + 12*s - k*s - 4, 4*d - 5*s - 10 = 0. Determine q, given that 2/7*q**3 + 0*q**4 + 0*q**2 + d*q - 2/7*q**5 + 0 = 0.
-1, 0, 1
Let g = 2418 - 2406. Let y(u) be the first derivative of g + 0*u - 25/6*u**6 + 0*u**2 + 40/3*u**3 + 22*u**5 - 35*u**4. Factor y(a).
-5*a**2*(a - 2)**2*(5*a - 2)
Let d(p) be the first derivative of 9/2*p**2 - 16 - 1/4*p**4 - p**3 - p. Let y(w) be the first derivative of d(w). Factor y(r).
-3*(r - 1)*(r + 3)
Let w = 153 + -150. Factor -k**2 + 7*k**2 + 3354*k - 3350*k + 2*k**w.
2*k*(k + 1)*(k + 2)
Let -360*i - 3*i**2 + 110224 - 224303 + 112027 = 0. Calculate i.
-114, -6
Let w(b) be the third derivative of -b**6/30 + 43*b**5/60 - 131*b**4/24 + 46*b**3/3 - 3724*b**2. Solve w(f) = 0.
1, 4, 23/4
Let n = 286113 - 858329/3. Factor -n*m**2 + 0 + m - 2*m**4 + 4*m**3 + 1/3*m**5.
m*(m - 3)*(m - 1)**3/3
Let q(w) = -15*w + 545. Let c be q(36). Suppose -c*b = -20, -2*m - 4 + 28 = 5*b. Determine a, given that -8/5 + 12/5*a - 4/5*a**m = 0.
1, 2
Let c(n) = -10*n**3 + 7*n**2 - 7*n. Let o(g) = 3*g**3 - 2*g**2 + 2*g. Let d = 107 - 101. Let m be (3/d + 1)*(0 + -4). Let h(u) = m*c(u) - 21*o(u). Factor h(q).
-3*q**3
Let v(u) be the third derivative of 46*u**7/105 - u**6/15 - 23*u**5/15 + u**4/3 - 7*u**2 + 182*u + 2. Determine x, given that v(x) = 0.
-1, 0, 2/23, 1
Let z(i) be the third derivative of i**8/840 - 148*i**7/525 + 1369*i**6/75 - 1871*i**2. Suppose z(x) = 0. What is x?
0, 74
Let t(c) = -c**3 + c**2 + 1. Let f(h) = -9*h**2 + 6*h**3 + 3*h - 2*h + 97 - 102. Let p(a) = 5*f(a) + 35*t(a). Factor p(v).
-5*(v - 1)*(v + 1)*(v + 2)
Suppose 0 = -4*b + b - 108. Let f be (-5 - 188/b) + 96/54. Factor -1/6*z**f - 1/2 - 2/3*z.
-(z + 1)*(z + 3)/6
Suppose -4*i + 2*i = -8, -z - i + 13 = 0. Suppose -u + 0*u - 1 = -3*w, 3*w = 3*u - z. Determine a, given that -1/4*a**w + 1/2*a + 3/4 = 0.
-1, 3
Suppose 18/11*t**3 + 38/11*t**2 - 12/11 + 2/11*t - 10/11*t**4 - 4/11*t**5 = 0. What is t?
-3, -1, 1/2, 2
Let g(c) = c**2 + 15377*c + 30753. Let w be g(-2). Solve -1/4*a**4 - 7 + 9/4*a**w - 45/4*a - 7/4*a**2 = 0.
-1, 4, 7
Determine n so that 78125 + 1175626/5*n**2 + 394378/5*n**3 + 1/5*n**5 + 234625*n + 1253/5*n**4 = 0.
-625, -1
Let a be 16/6 + 38/(-57). Find w, given that 9*w**a + 8*w**2 + 3*w**2 - 18*w - 23*w**2 = 0.
-6, 0
Let u = -40/297 + 238/297. Factor u*n**3 + 6*n + 4*n**2 + 0.
2*n*(n + 3)**2/3
Let h(n) be the first derivative of n**4/14 - 754*n**3/7 + 426387*n**2/7 - 107165266*n/7 + 216. Determine w, given that h(w) = 0.
377
Let a(d) = 5*d**3 + 31*d**2 + 114*d + 144. Let g(f) = -f**3 - 7*f**2 - 28*f - 36. Let v(n) = 2*a(n) + 9*g(n). Let v(o) = 0. What is o?
-3, -2, 6
Let j = 281386 - 281386. Factor j + 10/3*n**3 + 0*n + 0*n**2 + 5/6*n**4.
5*n**3*(n + 4)/6
Suppose -2*z + b + 4 = 0, -z + b + 2*b = 3. Factor 32*m**2 - 5*m**3 + 6*m - 3*m - 13*m - m**z.
-2*m*(m - 5)*(3*m - 1)
Let i(h) = 425*h + 1277. Let o be i(-3). Solve 25/3 - 10*a + 5/3*a**o = 0.
1, 5
Let k(b) = b**3 + 169*b**2 - 237*b + 17960. Let u be k(-171). Factor -19/4*c**3 - 1 - 1/4*c**u - 25/4*c**2 - 7/4*c**4 - 4*c.
-(c + 1)**3*(c + 2)**2/4
Let x(r) be the second derivative of -8*r**3 + 0*r**2 + 1/5*r**5 - 2/15*r**6 + 8/3*r**4 + 23*r + 2. Solve x(l) = 0 for l.
-3, 0, 2
Let l = -196 - -193. Let u(h) = -7*h**2 + 23*h - 98. Suppose 0*x - 2*x = 10. Let d(g) = 4*g**2 - 11*g + 49. Let t(n) = l*u(n) + x*d(n). Factor t(f).
(f - 7)**2
Suppose -45/2 - 1/2*g**3 - 47/2*g**2 - 91/2*g = 0. What is g?
-45, -1
Let n = -44 + 48. Let x(i) be the second derivative of 9*i + 3/2*i**2 + 0 + 9/8*i**n + 1/20*i**6 + 7/4*i**3 + 3/8*i**5. Determine p so that x(p) = 0.
-2, -1
Suppose 106*r - 692 + 275 = -33*r. Let s(b) be the first derivative of -20 + 1/2*b**2 + r*b - b**3 - 1/4*b**4. Find o, given that s(o) = 0.
-3, -1, 1
Suppose 246 = -k - k. Let i = k - -126. Factor 42*f - 147 - 108*f**3 + i*f**4 + 66*f**3 + 119*f**2 + 25*f**2.
3*(f - 7)**2*(f - 1)*(f + 1)
Let s = 7621/280700 - -8/2807. Let i(l) be the second derivative of 2/5*l**3 - s*l**5 + 0*l**2 - 7*l + 0 + 0*l**4. Solve i(q) = 0.
-2, 0, 2
Let g(z) be the second derivative of z**5/30 - 23*z**4/9 + 80*z**3/9 + 352*z**2/3 + 19*z + 2. Factor g(o).
2*(o - 44)*(o - 4)*(o + 2)/3
Suppose 0 = 38*v - 13*v. Let u be (v - -1)*(-7)/42*0. Factor 8/9*x**3 + u + 0*x - 4/3*x**2.
4*x**2*(2*x - 3)/9
Let n(u) be the second derivative of u**7/504 + u**6/15 + 14*u**5/15 + 7*u**4 + 30*u**3 + 72*u**2 + 963*u. Factor n(v).
(v + 2)*(v + 4)*(v + 6)**3/12
Let -15786*w**2 - 2191603 - 631085 - 674*w**2 + 276*w**3 - 358*w**4 + 327888*w + 2186*w**2 + 356*w**4 = 0. Calculate w.
33, 36
Let q(d) be the third derivative of -103*d**2 - 2/45*d**7 - 49/180*d**6 + 0*d**4 - 1/504*d**8 + 0*d**3 + 0*d**5 + 0*d + 0. Factor q(f).
-2*f**3*(f + 7)**2/3
Factor d**2 - 237*d + 2106 - 190*d + 155*d + d**2 - 436*d.
2*(d - 351)*(d - 3)
Let b be 0 + 2/29 + 94611/1914 + -45. Suppose b*w + 4 + 1/2*w**2 = 0. Calculate w.
-8, -1
Let k(c) be the third derivative of c**9/3024 + c**8/1680 + 6*c**3 + 6*c**2 + 6. Let t(f) be the first derivative of k(f). Factor t(w).
w**4*(w + 1)
Let c(s) be the first derivative of -5*s**3/9 - 25*s**2/6 + 60*s - 926. Factor c(a).
-5*(a - 4)*(a + 9)/3
Let b(t) be the second derivative of t**6/165 - 17*t**5/110 + 91*t**4/66 - 49*t**3/11 + 3274*t + 1. Factor b(p).
2*p*(p - 7)**2*(p - 3)/11
Let q(j) be the second derivative of -j**8/5040 + j**6/1080 + 5*j**3/6 - 7*j**2/2 + 13*j. Let f(p) be the second derivative of q(p). Factor f(u).
-u**2*(u - 1)*(u + 1)/3
Factor 280/3 - 4/3*p**3 + 412/3*p + 128/3*p**2.
-4*(p - 35)*(p + 1)*(p + 2)/3
Determine u, given that -2/17*u**5 - 54752/17*u - 7904/17*u**3 - 35504/17*u**2 - 26912/17 - 242/17*u**4 = 0.
-58, -2, -1
Let b(y) be the second derivative of -1 + 0*y**3 - 7/4*y**4 - 11/10*y**5 - 8*y - 1/30*y**6 + 0*y**2. Solve b(x) = 0.
-21, -1, 0
Let w(y) be the third derivative of -y**5/30 + 254*y**4/3 + 339*y**3 + y**2 - 50*y + 1. Find s such that w(s) = 0.
-1, 1017
Suppose 3*u = 29 - 23. Factor -74*p**2 + 39*p**u + 36 - 12*p + 36*p**2.
(p - 6)**2
Let w be 5 + ((-98)/(-28) + 4/(-8) - 8). Let m(q) be the first derivative of w*q**3 - 4 + 0*q - 1/8*q**2 + 0*q**5 + 1/8*q**4 - 1/24*q**6. Solve m(j) = 0.
-1, 0, 1
Let q(v) be the first derivative of -10*v**3 + 40*v + 10*v**2 - 25/4*v**4 - v**5 - 34. Factor q(f).
-5*(f - 1)*(f + 2)**3
Let h be ((6/8)/((-12495)/(-336) + -37))/2. Let z = -10 + 15. Let -1/7*t**3 + 2/7*t**h + 0 + 0*t - 8/7*t**4 - 5/7*t**z = 0. Calculate t.
-1, 0, 2/5
Let p(d) be the second derivative of d**6/60 - 29*d**5/20 + 949*d**4/24 - 261*d**3 + 729*d**2 + 1382*d - 1. Let p(c) = 0. What is c?
2, 27
Let p(j) = -352*j - 4220. Let c be p(-12). Let w = -4 - -4. Determine b so that -4/7*b**3 + w*b - 1/7*b**c + 0 - 3/7*b**2 = 0.
-3, -1, 0
Let l(h) be the second derivative of h**6/120 - h**5/2 + 25*h**4/2 - 500*h**3/3 - 43*h**2/2 - 6*h - 1. Let p(y) be the first derivative of l(y). Factor p(v).
(v - 10)**3
Let o(j) = -27*j - 6. Let i be o(1). Let n(v) = -5*v**2 + 6*v + 9. Let l(k) = 81*k**2 - 96*k - 144. Let d(p) = i*n(p) - 2*l(p). Suppose d(t) = 0. What is t?
-1, 3
Factor -46/9*r - 20 - 2/9*r**2.
-2*(r + 5)*(r + 18)/9
Let o be ((-235)/21)/((-1)/3). Let l = o + -2543/77. Factor 0 + 0*s**2 + 2/11*s**5 + 0*s + 4/11*s**3 - l*s**4.
2*s**3*(s - 2)*(s - 1)/11
Let u be (27*31/(-186)*5/60)/(6/(-32)). Factor -1/7*c - 2/7 + 1