, 2
Let f = 2884429/5 - 576885. Factor f*x**3 - 92/5*x - 24 + 32/5*x**2.
4*(x - 3)*(x + 1)*(x + 10)/5
Let k(t) be the third derivative of 6*t**3 + 1/20*t**6 + 21*t - 7/30*t**5 + 4*t**2 + 1/105*t**7 - 5/4*t**4 + 0. Factor k(v).
2*(v - 2)*(v - 1)*(v + 3)**2
Factor 1/2*r**4 - 76*r**3 + 11856*r + 2732*r**2 + 12168.
(r - 78)**2*(r + 2)**2/2
Let z(n) be the second derivative of 15/2*n**3 + 0 + 69*n + 45*n**2 - 5/6*n**4 - 1/4*n**5. Factor z(f).
-5*(f - 3)*(f + 2)*(f + 3)
Let u(r) = -3*r**3 - 2*r**2 - r + 2. Let h(z) = 5*z**3 + 47*z**2 - 574*z + 2264. Let w(k) = 3*h(k) + 6*u(k). Factor w(p).
-3*(p - 18)**2*(p - 7)
Suppose 32 = 19*u - 25. Let 4*o**4 + 33*o**5 - 4*o**2 + 2*o**u - 66*o**5 + 31*o**5 = 0. Calculate o.
-1, 0, 1, 2
Let a(s) be the second derivative of s**7/840 + 17*s**6/360 + 2*s**5/15 + 43*s**3/6 + s**2 - 4*s. Let f(w) be the second derivative of a(w). Factor f(v).
v*(v + 1)*(v + 16)
Suppose m**2 - 2*m**2 - 244881 - 527760 + 915*m + 843*m = 0. Calculate m.
879
Let r(d) be the second derivative of d**4/12 - 25*d**3 + 148*d**2 - 5*d + 139. Suppose r(c) = 0. What is c?
2, 148
Let n = 2225 - 1896. Let k be (3*10/21)/(376/n). Suppose 0 - k*y + 9/4*y**2 - 3/4*y**3 - 1/4*y**4 = 0. What is y?
-5, 0, 1
Suppose -5*n - c = -28, 1444*c - 1440*c - 52 = -5*n. Let -11/2*w - 2*w**3 - 21/4*w**2 - 1/4*w**n - 2 = 0. What is w?
-4, -2, -1
Let v(t) be the third derivative of -1 + 140*t**2 + 23/48*t**4 - 7/480*t**6 - 1/80*t**5 - t**3 + 0*t. Factor v(y).
-(y - 2)*(y + 3)*(7*y - 4)/4
Let g(n) be the first derivative of n**3/3 - 23*n**2 + 88*n + 1041. Factor g(s).
(s - 44)*(s - 2)
Suppose -3*t = 0, 2*b = -0*b - 4*t + 4. Let g = -30761/5 - -6154. Let g*n**3 + 24/5*n**b + 0 + 12/5*n = 0. Calculate n.
-2, -2/3, 0
Let k(u) = -21*u**2 - 29*u + 54. Let d(c) = -74*c**2 - 87*c + 162. Let m(n) = -4*d(n) + 14*k(n). Factor m(f).
2*(f - 27)*(f - 2)
Factor -5180176/9 - 4556/9*j**2 - 2599192/9*j - 2/9*j**3.
-2*(j + 2)*(j + 1138)**2/9
Let t = 8794/17 - 518. Let z = 134/51 - t. Determine f so that -2/3*f**3 + 10/3 - z*f**2 + 2/3*f = 0.
-5, -1, 1
Let d(a) be the first derivative of -a**8/336 + a**7/56 - a**6/36 - 2*a**3/3 + 12*a + 21. Let h(y) be the third derivative of d(y). Let h(o) = 0. What is o?
0, 1, 2
Let 1/5*p**3 + 67*p - 72/5*p**2 + 0 = 0. Calculate p.
0, 5, 67
Let x(r) be the first derivative of -4*r**3/21 - 2*r**2 + 660. Factor x(w).
-4*w*(w + 7)/7
Suppose 0 = 238*h + 2493 - 3207. Suppose -h + 1/2*p**4 - 13/2*p + 1/2*p**3 - 7/2*p**2 = 0. What is p?
-2, -1, 3
Let j(g) be the second derivative of -g**4/72 - 17*g**3/12 + 13*g**2/3 - 2*g - 125. Find x, given that j(x) = 0.
-52, 1
Let j(d) = d**2. Let r(f) = 7*f**2 + 10*f. Let b(l) = 5*j(l) - r(l). Let x(h) = -7*h**2 - 41*h. Let g be 8/6*21/14. Let t(a) = g*x(a) - 9*b(a). Factor t(i).
4*i*(i + 2)
Let s(x) be the first derivative of -204*x**3/5 + 15*x**2 - 8*x/5 - 2139. Suppose s(t) = 0. What is t?
4/51, 1/6
Let z(n) be the third derivative of n**8/84 - 314*n**7/105 + 4469*n**6/15 - 205082*n**5/15 + 895973*n**4/6 + 39560654*n**3/3 + 7709*n**2. Factor z(p).
4*(p - 41)**4*(p + 7)
Let c = -24 - -26. Suppose -4*u - c*a - 4 = -22, u + a = 6. Factor 2 + 140*f**3 - 10 - 93*f**4 + u*f**2 - 5*f**4 + 3*f**2 - 40*f.
-2*(f - 1)**2*(7*f + 2)**2
Factor -223*h**2 + 221 - 73*h**2 + 65 - 1037*h + 10 - h**3 + 1038*h.
-(h - 1)*(h + 1)*(h + 296)
Suppose 0 = z + 34 - 39. Suppose z*d = -2*d + 3*d. Factor 0*a + 0 + d*a**2 + 2/13*a**3.
2*a**3/13
Let z(k) be the second derivative of k**7/21 - k**6/15 - 9*k**5/10 + 13*k**4/6 + 8*k**3/3 - 12*k**2 + 1633*k. Solve z(d) = 0.
-3, -1, 1, 2
Let o be (-3)/2*6640/(-60). Suppose -4*y - 154 = -o. Factor -12*p**3 + 10*p**2 + 6*p + 3*p**y - p**3 + 4*p**3 - 2*p**4 - 8.
-2*(p - 1)**2*(p + 1)*(p + 4)
Let p(n) = 8*n**2 + 32*n - 14. Suppose -t - 108 = 4*o, 49*t - 20 = o + 51*t. Let s(j) = j**2 + j - 2. Let f(v) = o*s(v) + 4*p(v). Solve f(k) = 0 for k.
-25, 0
Let v(b) be the second derivative of 7*b**6/20 - 6*b**5/5 - 3*b**4/8 + 4*b**3 - 3*b**2 - 54*b + 3. Find f such that v(f) = 0.
-1, 2/7, 1, 2
Suppose 0 = -31*o - 12 + 136. Let v(s) be the first derivative of -2*s**o + 8/3*s**3 + 0*s - 5/3*s**6 - 26/5*s**5 + 0*s**2 - 37. Solve v(h) = 0.
-2, -1, 0, 2/5
Let r be ((-1023)/(-21))/(-1) + (-14)/49. Let z = r - -55. Let m(s) = -s**2 + 2*s + 1. Let q(b) = -7*b**2 + 13*b + 7. Let c(k) = z*q(k) - 39*m(k). Factor c(i).
-3*(i - 1)*(i + 1)
Let u(t) be the first derivative of t**3/3 - 131*t**2/2 - 402*t + 775. Factor u(m).
(m - 134)*(m + 3)
Let s(m) be the second derivative of m**5/10 + 29*m**4/6 + 146*m**3/3 - 176*m**2 + 3594*m. Solve s(l) = 0.
-22, -8, 1
Let n be (-16)/(-6) + 2 - 16*48/288. Solve -169/11 - 1/11*t**n - 26/11*t = 0.
-13
Let s(q) be the third derivative of 0*q + 237*q**2 - 1/12*q**5 - 25/2*q**3 + 5/3*q**4 + 0. Suppose s(r) = 0. What is r?
3, 5
Let n be (413/3717)/(12/189). Determine d, given that -2*d**4 - 3/4*d**5 + 1/2 + n*d - d**3 + 3/2*d**2 = 0.
-1, -2/3, 1
Let c be (-16*12/15)/((-2)/10). Let z = c - 45. Find v such that -2*v**4 - 4*v**4 - z*v**2 + 12*v**3 + 3*v**4 + 7*v**2 = 0.
0, 2
Suppose 7*v + 37 = 695. Let k = v - 89. Factor 10*o**2 - 116*o - 23*o**4 + 121*o + 13*o**4 - k*o**5.
-5*o*(o - 1)*(o + 1)**3
Let p(z) = -z**3 + 28*z**2 + 180*z - 1664. Let c be p(32). Find k such that -4/13*k**3 + 0*k + c - 2/13*k**4 - 2/13*k**2 = 0.
-1, 0
Let n(i) = -19*i**3 - 27*i**2 + 51*i - 45. Let f(q) = 7*q**3 + 10*q**2 - 17*q + 15. Let d(w) = 8*f(w) + 3*n(w). What is k in d(k) = 0?
-5, 1, 3
Let a(f) be the second derivative of 10*f**4/21 - 103*f**3/21 + 15*f**2/7 - f + 4810. Factor a(z).
2*(z - 5)*(20*z - 3)/7
Let q(x) be the first derivative of -x**6/51 + 43*x**4/34 + 28*x**3/17 - 193. Find u, given that q(u) = 0.
-6, -1, 0, 7
Let a(g) be the first derivative of -2*g**6/15 + 292*g**5/25 - 324*g**4 + 42032*g**3/15 - 42496*g**2/5 + 49152*g/5 - 9553. Find d, given that a(d) = 0.
1, 2, 6, 32
Let h(x) = 71*x + 289. Let r be h(-4). Let o(k) be the third derivative of 0 + 0*k**3 - 1/540*k**6 + 1/108*k**4 - 2*k**2 + 0*k**r + 0*k. Factor o(u).
-2*u*(u - 1)*(u + 1)/9
Let j(r) be the second derivative of -r**5/30 - r**4/9 + 19*r**3/3 - 18*r**2 + 877*r. Factor j(p).
-2*(p - 6)*(p - 1)*(p + 9)/3
Factor -2/7*n**3 + 46/7*n**2 - 24*n - 216/7.
-2*(n - 18)*(n - 6)*(n + 1)/7
Factor 1/4*h**2 + 119/2*h + 118.
(h + 2)*(h + 236)/4
Let v(s) be the third derivative of -s**7/420 - 89*s**6/240 - 141*s**5/40 - 81*s**4/16 + 63*s**3 + 4*s**2 - 235*s. Solve v(u) = 0 for u.
-84, -3, 1
Factor -1569990/17*q - 2/17*q**3 + 1566450/17 + 3542/17*q**2.
-2*(q - 885)**2*(q - 1)/17
Let b(w) be the second derivative of w**5/100 + 9*w**4/4 + 405*w**3/2 + 47*w**2 - 204*w. Let c(g) be the first derivative of b(g). What is r in c(r) = 0?
-45
Determine o so that 297/7*o**3 - 297/7*o - 3/7*o**4 + 0 + 3/7*o**2 = 0.
-1, 0, 1, 99
Factor 2/3*f + 8/3*f**3 + 1 - 13/3*f**2.
(f - 1)**2*(8*f + 3)/3
Suppose -2*h = -h + 8, 571 - 539 = 2*z - 2*h. Factor z*m - 2/3*m**4 + 4*m**3 - 26/3*m**2 - 8/3.
-2*(m - 2)**2*(m - 1)**2/3
Let z(k) be the second derivative of k**6/60 + 2*k**5/15 - k**4 - 40*k**2 - k + 3. Let b(a) be the first derivative of z(a). Suppose b(v) = 0. What is v?
-6, 0, 2
Let w(g) be the third derivative of -g**6/120 - 11*g**5/60 - 5*g**4/8 + 9*g**3/2 + 10*g**2 + 36. Suppose w(j) = 0. Calculate j.
-9, -3, 1
Let v(x) be the second derivative of -x**4/48 - 4*x**3/3 - 39*x**2/2 + 1862*x. Find q such that v(q) = 0.
-26, -6
Let m be 5296/(-1440) - (-8)/2. Let h = m - -7/90. Suppose -3/5*o - 1/5*o**2 - h = 0. What is o?
-2, -1
Factor 293/5*s - 118/5 + 11*s**3 - 231/5*s**2 + 1/5*s**4.
(s - 2)*(s - 1)**2*(s + 59)/5
Factor 708/11*d + 128 + 2/11*d**2.
2*(d + 2)*(d + 352)/11
Let m(d) = 2*d**2 + 8*d + 11. Let w be 18/(-27) + (-4)/3. Let x be m(w). Factor 4*c**x + c**2 - 2*c**3 - 2*c**2 - 5*c**2.
2*c**2*(c - 3)
Factor -613*s**4 - 5*s**3 + 588*s**4 + s**5 + 25*s**2 + 4*s**5.
5*s**2*(s - 5)*(s - 1)*(s + 1)
Suppose 0 = -16*c - 143 + 463. Find m such that -15*m - 90 + 69*m**2 + 5*m**4 + c*m**2 + 35*m**3 - 24*m**2 = 0.
-3, -2, 1
Let y(g) be the second derivative of 1/3*g**4 + 4/3*g**3 + 8/3*g**2 + 96*g + 1/30*g**5 + 0. Factor y(j).
2*(j + 2)**3/3
Let y(f) be the first derivative of 0*f**4 + 9*f - 1/10*f**5 - 5 + 0*f**2 + 0*f**3. Let s(x) be the first derivative of y(x). What is l in s(l) 