 11*n + 7. Let y be d(-5). Suppose 0*p - 17*p - 128 + 0*p - 2*p**y - 15*p = 0. What is p?
-8
Let l(y) be the third derivative of y**6/35 - 5*y**5/21 - y**4/42 + 40*y**3/21 + 81*y**2 + 4*y. Suppose l(a) = 0. What is a?
-5/6, 1, 4
Suppose 4*f = 2*v - 110, 257 = 5*v - f - 0*f. Let a = v + -31. Factor a*k**3 - 7 - 45*k - 15*k**2 + 0 - 3.
5*(k - 2)*(k + 1)*(4*k + 1)
Suppose -12 = d + 3*d, 0 = 5*s + 4*d - 23. Let m be ((-96)/70)/(-2)*s. Determine c, given that -6/5*c**3 + m*c - 3/5*c**4 + 0 + 12/5*c**2 = 0.
-2, 0, 2
Let s be (-142)/(-14) + ((-36)/(-132) - 1728/4158). Factor -20*m**3 + 50/3*m**2 + s*m**4 - 5*m + 0 - 5/3*m**5.
-5*m*(m - 3)*(m - 1)**3/3
Find y such that -108/5 - 2/5*y**2 - 58/5*y = 0.
-27, -2
Let z = -56 - -45. Let a = -8 - z. Solve 5*k + k - 2 - 2*k**3 - k - a*k + 2*k**2 = 0 for k.
-1, 1
Let i = -1/1050 + 1838/525. Let l(h) be the first derivative of -3*h - 2/3*h**3 + 13 - i*h**2. Suppose l(c) = 0. Calculate c.
-3, -1/2
Let y be (-17556)/(-110) - -21 - 2/(-5). Suppose y + 6 = 17*t. Determine g so that 16 + 0*g - 1/2*g**4 - 9/2*g**3 - t*g**2 = 0.
-4, -2, 1
Determine c, given that 1280/3*c**3 + 49/3*c**4 + 0 + 0*c + 2300*c**2 - 1/3*c**5 = 0.
-10, 0, 69
Suppose -48 - 64 + 54 = -32*p + 6. Suppose 26/3*d + 9/2*d**p - 2/3 = 0. What is d?
-2, 2/27
Let x be (-3)/(-8 - (330/(-7))/6*1). Let i(t) be the third derivative of 0*t + 7/24*t**6 - 10/3*t**3 - 5/12*t**5 + x*t**2 + 0 - 10/3*t**4. Factor i(s).
5*(s - 2)*(s + 1)*(7*s + 2)
Let s(q) = -4*q**2 + 19*q - 10. Let x be s(4). Let 1458 + 671*k**x - 333*k**2 - 108*k - 336*k**2 = 0. Calculate k.
27
Let y(a) be the third derivative of -a**7/315 + 2*a**6/45 - 8*a**5/45 + 21*a**2 - 30. Factor y(n).
-2*n**2*(n - 4)**2/3
Let x = 497277/7 + -71037. What is s in -12/7*s**2 + 33/7*s - x = 0?
3/4, 2
Let g(a) be the second derivative of -a**4/24 + 71*a**3/3 - a + 69. Factor g(p).
-p*(p - 284)/2
Suppose -5*b + 36 + 39 = 0. Factor 5*o**2 + 5*o + 45 + b*o + 2*o + 28*o.
5*(o + 1)*(o + 9)
Let m(n) = -46*n**3 - 5238*n**2 + 1710*n - 20. Let y(d) = 15*d**3 + 1745*d**2 - 571*d + 6. Let x(u) = -3*m(u) - 10*y(u). Factor x(a).
-4*a*(a + 145)*(3*a - 1)
Let m be 15*((-874)/(-95) - (6 - -2)). Let t be (-24)/6*(m - 19). Determine j so that 8/7*j + 54/7*j**2 - 8/7 + 52/7*j**3 + 2*j**t = 0.
-2, -1, 2/7
Let z(c) be the second derivative of 0*c**2 + 1/2*c**7 + 0 + 1/2*c**4 + 0*c**3 - 219*c - 6/5*c**6 + 9/20*c**5. Determine l so that z(l) = 0.
-2/7, 0, 1
Find a, given that -30/19*a**4 - 70/19*a - 34/19*a**3 - 12/19 + 146/19*a**2 = 0.
-3, -2/15, 1
Let w(z) = z. Let t(m) = -3*m - 1. Let c(x) = -6*t(x) - 17*w(x). Let p be c(5). Factor p*g**4 - 16*g - 27*g**3 + 36*g**2 - 7*g**4 + 3*g**3.
4*g*(g - 4)*(g - 1)**2
Let r be ((-65)/15 - -3)*(-18)/4. Suppose q - r = -3. Find g such that 2*g + 68*g**2 + 114*g**q + 27*g**5 + 10*g - 3*g + 2 + 90*g**4 + 10*g = 0.
-1, -2/3, -1/3
Let s be (-3)/(-170)*2 - (-72)/360. Let r(c) be the first derivative of -8/17*c - 2/51*c**3 + s*c**2 - 19. Factor r(h).
-2*(h - 2)**2/17
Let g be (6 - -7 - 11)*2. Let k(a) be the second derivative of 0*a**2 + 3/10*a**5 + 0 - 5/6*a**g + 2/3*a**3 - 2*a. Factor k(f).
2*f*(f - 1)*(3*f - 2)
Let f(q) be the second derivative of q**5/90 + 7*q**4/27 - 304*q**3/9 + 93*q + 11. Find g such that f(g) = 0.
-38, 0, 24
Suppose 3/2*m**2 + 372*m + 0 = 0. Calculate m.
-248, 0
Let x(f) be the third derivative of -f**9/90720 - f**8/5040 - f**7/840 - f**6/270 + 7*f**5/60 - 5*f**2. Let z(y) be the third derivative of x(y). Factor z(l).
-2*(l + 1)**2*(l + 4)/3
Let a = -102645 + 102648. Factor -8/7*q + 2/7*q**4 + 0 - 4/7*q**a - 2*q**2.
2*q*(q - 4)*(q + 1)**2/7
Let y(h) be the third derivative of -h**8/42 + 2*h**7/7 - h**6/3 - 3*h**5 - 3*h**4 - h**2 - 959. Solve y(d) = 0 for d.
-1, -1/2, 0, 3, 6
Let o(r) be the first derivative of 39*r + 2*r**3 + 15 - 81/2*r**2. Let o(x) = 0. What is x?
1/2, 13
What is c in -300*c + 168*c**4 - 36 + 114*c**5 + 135*c**5 - 117*c**3 - 663*c**2 - 201*c**5 = 0?
-3, -2, -1/4, 2
Let w = -74 - -79. Suppose 3*i - 14 = -w. Factor 270*x**2 + 69*x - 8*x**4 + 13*x**4 + 471*x + 60*x**i + 386 + 19.
5*(x + 3)**4
Let d(l) be the second derivative of -l**5/20 + l**4/6 + 13*l**3/6 + 5*l**2 - 1662*l. Factor d(q).
-(q - 5)*(q + 1)*(q + 2)
Let h(g) be the second derivative of -g**7/10080 + g**6/576 - g**5/80 + g**4/6 + 113*g**3/6 + 3*g + 15. Let l(r) be the third derivative of h(r). Factor l(c).
-(c - 3)*(c - 2)/4
Let w be (-234)/45 - (-1)/5. Let v(o) = -3*o**3 - 15*o**2 - o + 19. Let h(y) = -3*y**3 - 15*y**2 - 2*y + 20. Let u(g) = w*v(g) + 4*h(g). Solve u(c) = 0 for c.
-5, -1, 1
Let i(m) be the second derivative of -m**7/168 + 41*m**6/40 + 31*m**5/20 - 29*m. Suppose i(a) = 0. Calculate a.
-1, 0, 124
Let z = -37 - -15. Let q = z + 26. Factor -3*d**4 + 5*d**5 - 2*d**q - 5*d**4 + 10*d**2 - 5*d.
5*d*(d - 1)**3*(d + 1)
Let k(g) be the third derivative of 1/10*g**6 + 0*g - 1/112*g**8 - 54*g**2 + 0*g**7 + g**3 + 0 - 1/10*g**5 - 3/8*g**4. Factor k(b).
-3*(b - 1)**3*(b + 1)*(b + 2)
Let q(x) be the first derivative of x**4/10 - 196*x**3/75 - 29*x**2/5 - 84*x/25 - 8294. Determine t, given that q(t) = 0.
-1, -2/5, 21
Factor -29/2*b**2 - 243/2*b - 495/2 - 1/2*b**3.
-(b + 3)*(b + 11)*(b + 15)/2
Let 104/3*z - 26/3*z**3 - 224/3 + 20*z**2 - 1/3*z**4 = 0. Calculate z.
-28, -2, 2
Let v be -10*(-21 - ((-5 - -3) + -4)). Let u be ((-14)/(-105))/(10/v). Factor 8/5 - 2/5*i**u - 6/5*i.
-2*(i - 1)*(i + 4)/5
Let m(c) be the third derivative of 7/15*c**5 + 1/10*c**6 - 3*c**4 + 0*c + 0 - 42*c**2 + 16/3*c**3. Factor m(y).
4*(y - 1)*(y + 4)*(3*y - 2)
Find q such that 887*q**3 + 3404969 + 5665457 + 378*q**2 + 154449*q - 2326153 + 801*q**2 - 884*q**3 = 0.
-131
Let i(j) be the first derivative of -j**3/12 - 85*j**2/4 - 246. Factor i(d).
-d*(d + 170)/4
Let o(h) = 3*h**3 + 117*h**2 + 596*h + 2. Let v(w) = -80*w**3 - 3160*w**2 - 16090*w - 55. Let p(r) = 55*o(r) + 2*v(r). Suppose p(n) = 0. What is n?
-15, -8, 0
Let w(v) be the second derivative of -125*v - 8/3*v**4 + 0*v**2 - v**5 - 2/15*v**6 + 0 - 8/3*v**3. Find p, given that w(p) = 0.
-2, -1, 0
Let c be 1/(8/8) - 3/105*33. Let i(k) be the first derivative of -c*k**5 + 2 - 1/7*k**2 + 0*k + 2/21*k**3 + 1/14*k**4. Factor i(u).
-2*u*(u - 1)**2*(u + 1)/7
Let w = 1034255 - 1034252. Determine u so that -4 - 22/5*u**2 - 41/5*u - 1/5*u**w = 0.
-20, -1
Let k(r) be the third derivative of -r**6/60 + 97*r**5/270 + 64*r**4/27 + 52*r**3/27 - 8*r**2 - 5*r. Let k(m) = 0. What is m?
-2, -2/9, 13
Let i(w) be the second derivative of -w**4/66 - 608*w**3/33 - 92416*w**2/11 + 1136*w + 1. Factor i(t).
-2*(t + 304)**2/11
Let h = 274958 + -274956. Suppose 20/9*f**h + 0 + 0*f + 14/9*f**3 + 2/9*f**4 = 0. What is f?
-5, -2, 0
Let o(v) be the second derivative of v**7/300 + v**6/180 - 11*v**5/75 + v**4/5 - 42*v**3 + 4*v - 4. Let h(p) be the second derivative of o(p). Factor h(r).
2*(r - 2)*(r + 3)*(7*r - 2)/5
Let c = 1882669/6589268 - 3/941324. Factor 8/7*r + 8/7 + c*r**2.
2*(r + 2)**2/7
Let q(f) be the third derivative of f**7/840 - f**6/96 + 7*f**5/240 - f**4/32 - 477*f**2 - f. Let q(j) = 0. Calculate j.
0, 1, 3
Let b(h) = h**2 + 14*h + 13. Let n be b(-13). Let w(q) be the first derivative of 0*q**2 - 20/3*q**3 + 17 - 15*q**4 - 5*q**5 + n*q. Factor w(f).
-5*f**2*(f + 2)*(5*f + 2)
Let c(z) be the second derivative of z**7/231 + 29*z**6/165 - 3*z**5/11 + 4902*z. Factor c(s).
2*s**3*(s - 1)*(s + 30)/11
Find k such that 98/5*k**2 + 20 - 199/5*k + 1/5*k**3 = 0.
-100, 1
Let n(b) be the third derivative of 0*b + 361/36*b**3 - 166*b**2 + 0 + 19/72*b**4 + 1/360*b**5. Factor n(v).
(v + 19)**2/6
Suppose 0 = -5*h + 3*h + 8. Let -42*i**h + 50*i - 50*i**3 + 3*i**2 + 37*i**4 + 2*i**2 = 0. Calculate i.
-10, -1, 0, 1
Let q(n) be the first derivative of -n**6/10 + 117*n**5/25 - 51*n**4/2 + 233. Find w, given that q(w) = 0.
0, 5, 34
Let x(h) be the third derivative of -8*h**5/15 + 115*h**4/12 - 7*h**3 + 862*h**2. Let x(a) = 0. Calculate a.
3/16, 7
Let w(k) = -11*k**2 + 2428*k - 2417. Let b(z) = 30*z**2 - 7280*z + 7250. Let y(g) = -5*b(g) - 14*w(g). Factor y(u).
4*(u - 1)*(u + 603)
Let k(a) be the second derivative of a**4/30 + 974*a**3/15 + 237169*a**2/5 - 3224*a. Factor k(y).
2*(y + 487)**2/5
Let y = 6813 + -40877/6. Let o(x) be the third derivative of y*x**4 + 26*x**2 + 4/3*x**3 - 1/15*x**5 + 0 + 0*x. Facto