r -4525464352/3*x + 1/3*x**4 + 2171528*x**2 - 4168/3*x**3 + 1178883463696/3.
(x - 1042)**4/3
Let s(w) be the first derivative of -w**4/96 - w**3/16 - w**2/8 - 29*w - 29. Let y(a) be the first derivative of s(a). Factor y(n).
-(n + 1)*(n + 2)/8
Let i(y) be the second derivative of -y**4/6 - 74*y**3/39 + 24*y**2/13 - 697*y. Suppose i(d) = 0. What is d?
-6, 4/13
Let t = -145 - -291/2. Let s(j) = j**2 - 29*j - 129. Let z be s(-4). What is m in -4*m - t*m**z - 5/2*m**2 - 2 = 0?
-2, -1
Let p = 6440 - 6410. Let u(x) be the first derivative of -2/5*x**5 + 0*x**2 + 0*x + p + 2/3*x**3 + 0*x**4. Factor u(a).
-2*a**2*(a - 1)*(a + 1)
Suppose 7 = -6*y + 55. Let m be (y/36)/(2/12*2). Determine j, given that 0 + 4/3*j - m*j**2 = 0.
0, 2
Let i = -2045 - -2050. Let b(d) be the third derivative of -17*d**2 + 1/180*d**4 + 0*d + 1/450*d**i - 2/15*d**3 + 0. Factor b(m).
2*(m - 2)*(m + 3)/15
Let a = -1081/3 - -367. Let d(m) = 13*m - 11. Let s be d(1). Find y such that -2/3 + 13/3*y - a*y**s + 3*y**3 = 0.
2/9, 1
Factor -135375/2 - 24225/2*v + 555/2*v**2 - 3/2*v**3.
-3*(v - 95)**2*(v + 5)/2
Let u = -132 - -146. Let b be 6/u - 3*30/(-378). Find x such that 2*x**3 + 2/3*x**2 - 2*x + b*x**4 - 4/3 = 0.
-2, -1, 1
Find t, given that 0 - 1/6*t**3 + 215/6*t**2 + 36*t = 0.
-1, 0, 216
Let g = 50 + -48. Let 171*k**g + 33*k + 3*k**3 - 62*k**2 + 4 - 88*k**2 + 11 = 0. Calculate k.
-5, -1
Let z(r) be the first derivative of -21/4*r**2 - 8*r**3 + r - 53 - 25/8*r**4. Find w, given that z(w) = 0.
-1, 2/25
Let g be (-65)/(-52)*((-8)/4 + 4). Let c(r) be the first derivative of -g*r**3 - 5/8*r**4 - 8 + 0*r - 5/2*r**2. Factor c(m).
-5*m*(m + 1)*(m + 2)/2
Suppose -j + 2*p + 0*p = -6, 2*j + 2*p = -6. Let b be (j - (-6)/(-27))/(2 - 4). Factor 0 + b*r**2 - 1/9*r.
r*(r - 1)/9
Suppose 56 = 93*j - 91*j. Let 24*w**2 + 1 - 4*w**3 - 3 + j*w + 2 = 0. What is w?
-1, 0, 7
Let r(h) = -h**5 - 2*h**4 - h**3 + h**2 - 3*h - 2. Let t(a) = 24*a**5 - 59*a**4 - 873*a**3 - 2019*a**2 - 1303*a + 150. Let d(p) = -3*r(p) - t(p). Factor d(x).
-(x - 9)*(x + 2)**3*(21*x - 2)
Let f(m) be the third derivative of m**8/336 - 4*m**7/105 - 11*m**6/12 - 24*m**5/5 - 9*m**4/8 + 72*m**3 - 2652*m**2. What is i in f(i) = 0?
-3, 1, 16
Let x(j) be the second derivative of -5*j**4/12 - 340*j**3/3 + 282*j. Let x(z) = 0. Calculate z.
-136, 0
Let i(r) be the second derivative of -3/70*r**5 - 14*r + 0*r**3 - 1/70*r**6 + 0*r**2 + 1 - 1/28*r**4. Suppose i(n) = 0. What is n?
-1, 0
Let d be 2/3*(-63)/(-6). Let r be 86/14 - (-19)/(-133). Let p(g) = -4*g**2 + 2*g. Let m(k) = 4*k**2 - k. Let y(b) = d*p(b) + r*m(b). What is q in y(q) = 0?
0, 2
Let n = 44968 - 44964. Factor -n + 1331/2*d**3 + 66*d - 363*d**2.
(11*d - 2)**3/2
Determine k, given that -5/6*k**4 - 1/6*k**5 - 2 + 17/6*k**2 - 4/3*k + 3/2*k**3 = 0.
-6, -1, 1, 2
Let k(g) be the first derivative of -g**8/15960 - g**7/1140 - g**6/285 - 257*g**3/3 + 275. Let l(v) be the third derivative of k(v). Factor l(w).
-2*w**2*(w + 3)*(w + 4)/19
Suppose 0 = 3*z - 5*i + 15, -3*i + 69 - 60 = 0. Let h(v) be the first derivative of z*v + 5/3*v**3 - 22 - 7/15*v**5 + 1/3*v**2 + 1/2*v**4. Factor h(s).
-s*(s - 2)*(s + 1)*(7*s + 1)/3
Let l be 9/24*14 + (-60)/(-80). Suppose l*x - 30*x + 48 = 0. Solve 0 + 3/4*v**x + 0*v = 0.
0
Let z(j) be the third derivative of -j**5/45 - 3379*j**4/36 - 563*j**3/3 - 4*j**2 - 2*j - 39. Factor z(o).
-2*(o + 1689)*(2*o + 1)/3
Let u = 277 - 275. Suppose 5*a**2 - 2*a**3 + 438 - 5*a**4 - 438 + u*a = 0. Calculate a.
-1, -2/5, 0, 1
Suppose -119 = 2*d + 13. Let c = -197/3 - d. Factor 0 + c*i**2 - 2/3*i.
i*(i - 2)/3
Factor -28*p - 187*p**2 + 10*p**2 + 25*p**3 - 20 + 92*p**2 + 108*p.
5*(p - 2)*(p - 1)*(5*p - 2)
Let y(j) be the third derivative of j**5/20 - 2*j**4 + 55*j**3/2 + 4*j**2 + 651*j. Let y(k) = 0. Calculate k.
5, 11
Suppose -5*i - 592 = -153*i. Suppose 5*a = 2*b - 70, 8*b - 3*b = 3*a + 156. Let -50*z**2 - 16*z - 13*z**4 - 68*z**3 - 8*z**i - b*z**2 + 5*z**4 = 0. What is z?
-2, -1/4, 0
Factor -16/7*i - 39/7 - 1/7*i**2.
-(i + 3)*(i + 13)/7
Let o = -1 + 39. Suppose -a + 121 = o. Factor 59*w**2 + 48*w**2 - 4*w**4 - a*w**2 + 32*w + 12.
-4*(w - 3)*(w + 1)**3
Suppose 5*j + 25 = 0, 0 = -k - j - 0*j - 10. Let o be (-4)/(-36)*(-5 - k). Factor o - 2/17*v**3 + 2/17*v**5 + 2/17*v**2 + 0*v - 2/17*v**4.
2*v**2*(v - 1)**2*(v + 1)/17
Let q(i) be the second derivative of 5/12*i**4 - 25/6*i**3 + 13*i - 15*i**2 + 2. Let q(k) = 0. What is k?
-1, 6
Let t = -2657/4 + 427705/644. Let a = 4/23 - t. Find u, given that -6/7*u + a*u**2 - 8/7 = 0.
-1, 4
Let g(m) be the first derivative of -m**3 - 435*m**2/2 - 432*m - 135. Factor g(i).
-3*(i + 1)*(i + 144)
Let n(c) be the second derivative of 15/2*c**2 - 18*c - 1/75*c**5 + 0 + 1/45*c**3 + 1/180*c**4. Let s(k) be the first derivative of n(k). Factor s(v).
-2*(2*v - 1)*(3*v + 1)/15
Let t(b) be the third derivative of -b**2 + 2/35*b**7 - 1/3*b**4 + 1/84*b**8 + 3 + 0*b**3 + 1/30*b**6 - 1/5*b**5 + 0*b. Factor t(q).
4*q*(q - 1)*(q + 1)**2*(q + 2)
Let v(b) be the first derivative of -b**4/26 + 108*b**3/13 - 321*b**2/13 + 320*b/13 - 3146. Factor v(a).
-2*(a - 160)*(a - 1)**2/13
Let p(u) = 5*u**3 + 2 - 8*u - 3 + u**3 - 7*u**3 + 7*u. Let w(f) = -3*f**4 + 14*f**3 - f**2 - 2*f + 4. Let c(q) = 4*p(q) + w(q). Find d, given that c(d) = 0.
-2/3, 0, 1, 3
Solve -675*b**3 - 6*b**2 + 677*b**3 - 224*b - 60*b**2 + 288 = 0.
-4, 1, 36
Suppose 24*f - 142*f = -46*f - 288. Solve 0*a - 5/2*a**2 - 1/2*a**f + 3*a**3 + 0 = 0 for a.
0, 1, 5
Suppose 3*y = -5*b - y - 495, -2*y + 396 = -4*b. Let l be 20/(-22)*b/189. Find d, given that -2/21*d**2 - 8/21 - l*d = 0.
-4, -1
Let c be (2352/560)/((-1)/(-5)) + 21 + -37. Factor -1/2*r**2 - r**4 + 0 - 5/4*r**3 - 1/4*r**c + 0*r.
-r**2*(r + 1)**2*(r + 2)/4
Let s(u) = -32*u**3 + 1884*u**2 + 3668*u - 72. Let d(j) = -13*j**3 + 755*j**2 + 1467*j - 30. Let v(t) = 12*d(t) - 5*s(t). Determine p so that v(p) = 0.
-2, 0, 92
Let o = 497/267 + 5682553/1869. Factor o + 132/7*n**2 - 2/7*n**3 - 2904/7*n.
-2*(n - 22)**3/7
Let u = 821 + -5745/7. Suppose -3*f + 4*i = -10, 2*f + 2 = 4*f + 2*i. Factor -2/7*z**f + 4/7 - u*z.
-2*(z - 1)*(z + 2)/7
Let f(d) be the third derivative of d**7/1575 - 22*d**6/225 + 776*d**5/225 + 1408*d**4/15 + 4096*d**3/5 + 872*d**2. Factor f(j).
2*(j - 48)**2*(j + 4)**2/15
Let z be ((-3)/(-2)*-1)/(10/(-120)). Factor -58*o**4 + 40*o**2 - 37*o + 13*o + 60*o**4 - z*o**3.
2*o*(o - 6)*(o - 2)*(o - 1)
Let o(q) = 14*q**2 + 6*q - 20. Let k(i) = -5*i**2 - 2*i + 7. Let v(y) = 17*k(y) + 6*o(y). Let s(l) = 12*l**2 + 8*l - 2. Let n(j) = s(j) - 2*v(j). Factor n(m).
2*m*(7*m + 2)
Let z(q) be the second derivative of -1/30*q**4 + 1/75*q**6 + 0 + 7/15*q**3 - 7/50*q**5 + 0*q**2 - 103*q. Factor z(c).
2*c*(c - 7)*(c - 1)*(c + 1)/5
Factor 395*p + 3*p**3 + 419 - 39*p - 95 - 60*p**2 - 95*p.
3*(p - 12)*(p - 9)*(p + 1)
Factor -173*z**2 - 68*z**2 - 766*z**3 + 767*z**3 - z + 241.
(z - 241)*(z - 1)*(z + 1)
Let t(y) = 96*y + 336. Let c be t(-4). Let a be 6/(-16) - 114/c. Solve 6/5*q**3 + 21/5*q**4 - 63/5*q**a + 24/5*q + 12/5 = 0.
-2, -2/7, 1
Let m(w) be the first derivative of -7*w**3/3 + 9*w**2/2 - 4*w - 108. Let y(u) = -37*u**2 + 45*u - 19. Let s(c) = -11*m(c) + 2*y(c). Factor s(j).
3*(j - 2)*(j - 1)
Let f(z) be the second derivative of 0*z**3 - 41/2*z**2 - 7*z + 0 - 1/20*z**5 - 1/2*z**4. Let s(x) be the first derivative of f(x). Factor s(p).
-3*p*(p + 4)
Let s(k) be the first derivative of -4/7*k**4 + 32/7*k + 16/7*k**3 + 2/35*k**5 + 95 - 32/7*k**2. Find n, given that s(n) = 0.
2
Factor -3694*z**4 - 257*z**2 - 128*z**3 + 101*z**2 + 3690*z**4 - 192*z**2.
-4*z**2*(z + 3)*(z + 29)
Let r be -11 + 172/10 + (-4 - 1). Let s be (-64)/5 + (142 - 129). Factor s*v**2 + r + v.
(v + 2)*(v + 3)/5
Let w be 4*-5*-1*(-18)/(-36). Let n(r) be the first derivative of r**2 + 12/5*r + w - 2/15*r**3. Suppose n(q) = 0. What is q?
-1, 6
Let z(f) = f**2 - 5*f + 6. Let i be z(0). Suppose 2*n - i = -s, -4*n = -5*s - 27 + 1. Factor -24*c**4 + 43*c**n - 23*c**4 - c**5.
-c**4*(c + 4)
Find i such that 560*i + 718*i**2 + 289*i**5 + 3422*i**2 - 44*i**5 + 2835*i**4 + 8420*i**3 = 0.
-7, -4, -2/7, 0
Determine w so that -370103*w - 865011*w - 1223236 - 4*w**4 - 1215782*w - 4432*w**3 - 1232088*w**2 = 0.
-553, -1
Let i(q) be the first derivative of 10*q**3/51 - 4117*q**2/17 + 3292*q/17 - 2061. Factor i(v).
2