ctor 0*o - 3*o**2 + 3/2 + 0*o**s + 3/2*o**4.
3*(o - 1)**2*(o + 1)**2/2
Let g(h) be the first derivative of -11520*h - 154 + 240*h**2 - 5/3*h**3. Factor g(o).
-5*(o - 48)**2
Let h(j) be the third derivative of -j**8/168 - 11*j**7/105 - 3*j**6/10 + 49*j**5/15 + 211*j**4/12 + 35*j**3 - 484*j**2 - 2*j - 3. Solve h(n) = 0.
-7, -5, -1, 3
Solve -129/2 + 255/4*d + 3/4*d**2 = 0 for d.
-86, 1
Suppose -4*z + 24 = 4*q, 5*z - 18 = -2*q - 0*q. Determine v, given that -12*v**4 + 28*v**2 + 731 - 128*v - 20*v**3 + q*v**5 + 80*v**2 - 683 = 0.
-3, 1, 2
Factor 12/5*u**2 + 0 - 3/5*u**3 + 0*u.
-3*u**2*(u - 4)/5
Let 2262*z**2 + 666*z - 745*z**2 - 756*z**2 - 760*z**2 = 0. What is z?
-666, 0
Let b(h) be the third derivative of 2*h**7/105 - 7*h**6/10 + 122*h**5/15 - 28*h**4 - 1247*h**2. Find j, given that b(j) = 0.
0, 2, 7, 12
Let o = 803 + -158. Factor 68*k + 368*k**2 - o*k**3 + 665*k**3 + 47*k + 29*k.
4*k*(k + 18)*(5*k + 2)
Factor 3/2*l**4 + 33/2*l**3 + 243/2*l + 81 + 135/2*l**2.
3*(l + 2)*(l + 3)**3/2
Let d be ((-8)/(-28) - 0)/(348541/(-7749) + 45). Factor 39 - 345/2*p - d*p**2.
-3*(p + 13)*(9*p - 2)/2
Let g(t) be the third derivative of -1/2*t**3 + 0 + 1/540*t**5 + 219*t**2 + 0*t - 1/36*t**4. Factor g(x).
(x - 9)*(x + 3)/9
Let 15/2*g**3 - 1/2*g**4 + 0 - 15/2*g + 1/2*g**2 = 0. Calculate g.
-1, 0, 1, 15
Let v = 654682/13 - 50278. Let z = -82 + v. Factor 0 + z*a**2 - 2/13*a**4 - 2/13*a + 2/13*a**3.
-2*a*(a - 1)**2*(a + 1)/13
Let x(c) = 17*c**2 - 33*c + 29. Let f(w) be the first derivative of 13 - 14*w - 8/3*w**3 + 8*w**2. Let h(i) = -13*f(i) - 6*x(i). Factor h(v).
2*(v - 4)*(v - 1)
Let h be 2/(-4) - ((-4776)/624 - -7). Let m(i) be the first derivative of h*i**3 + 3 - 10/13*i**2 + 6/13*i. Factor m(t).
2*(t - 3)*(3*t - 1)/13
Suppose -27 = -10*p + 23. Let r(j) = 62*j - 456. Let a(f) = -f**2 - 125*f + 915. Let b(g) = p*r(g) + 2*a(g). Suppose b(u) = 0. Calculate u.
15
Let v(r) be the first derivative of r**3/6 + 465*r**2/2 + 216225*r/2 - 7098. Factor v(t).
(t + 465)**2/2
Let y(f) be the third derivative of f**6/80 - 43*f**5/120 - 11*f**4/4 - 17*f**3/3 + 341*f**2 - 2*f. Solve y(j) = 0 for j.
-2, -2/3, 17
Suppose 3*v - 142 - 232 = -2*s, 3*v = 3*s + 399. Let t = 132 - v. Factor 52*a + 12*a + 88*a**2 - t*a**3 - 92*a**2 - 80.
-4*(a - 2)**2*(a + 5)
Let j = 70942 - 70940. Solve -8/7*n**j + 2/7*n - 4/7*n**4 + 0 + 10/7*n**3 = 0.
0, 1/2, 1
Let w(v) = -87*v**2 + 35*v**2 + 51*v**2 - 2*v + 1. Let c(y) = 14*y**2 + 30*y - 20. Let x(b) = c(b) + 12*w(b). Factor x(o).
2*(o - 1)*(o + 4)
Factor 0*z**3 + 5 + 17/4*z**2 + 9*z - 1/4*z**4.
-(z - 5)*(z + 1)*(z + 2)**2/4
Let z = 1305509 + -3916495/3. Factor 11*q + z + 1/3*q**2.
(q + 1)*(q + 32)/3
Solve -396*o**2 - 64*o - 1826*o + 850610 + 42415 + 397*o**2 = 0.
945
Let k be 3/3*3 + 0 + -1. Factor -5041*l**2 + 5*l - 5*l**3 + 4981*l**k + 15*l**4 + 15*l.
5*l*(l - 2)*(l + 2)*(3*l - 1)
Suppose -712 = -26*f - 2220. Let j be ((-29)/f)/((-2)/(-8)). Factor 0*w**j - 2/7*w**5 + 0 + 0*w**4 + 2/7*w**3 + 0*w.
-2*w**3*(w - 1)*(w + 1)/7
Factor -4*s**3 + 5*s**2 + 484*s + 120*s**2 - 532 - 46*s**2 - 35*s**2 + 8*s**2.
-4*(s - 19)*(s - 1)*(s + 7)
Suppose 65 = 4*l - 3*f, -2*l + 3*f - 33 = -5*l. Let y be l/(-35) - (-124)/10. Let -44*w**3 + 8*w**2 + w - 29*w + 48*w**3 + 4 + y = 0. Calculate w.
-4, 1
Determine z so that 4422338/5 - 5948/5*z + 2/5*z**2 = 0.
1487
Let k = -67931 - -67935. Suppose 16/3*o - 14/3 + 2/3*o**4 + k*o**2 - 16/3*o**3 = 0. Calculate o.
-1, 1, 7
Find c such that -2596/7 + 76/7*c**2 - 2522/7*c + 2/7*c**3 = 0.
-59, -1, 22
Suppose 53 = 2*j - 85. Suppose 0 = 74*r - j*r. Let -1/7*w**2 + r - 11/7*w = 0. Calculate w.
-11, 0
Let h(v) be the first derivative of v**7/840 - 7*v**5/120 + v**4/4 + 110*v**3/3 + 87. Let s(q) be the third derivative of h(q). Determine l so that s(l) = 0.
-3, 1, 2
Let y(f) be the second derivative of -1 - 67*f - 6*f**3 - 1/3*f**4 - 16*f**2. Find b, given that y(b) = 0.
-8, -1
Factor 2/11*y + 2/11*y**2 - 364/11.
2*(y - 13)*(y + 14)/11
Determine c so that 0 - 152/3*c + 68/3*c**2 - 4/3*c**5 - 68/3*c**4 + 52*c**3 = 0.
-19, -1, 0, 1, 2
Factor 238/13*c + 0 + 2/13*c**3 + 240/13*c**2.
2*c*(c + 1)*(c + 119)/13
Suppose -r + 10 = 5*g, -51*g + 8 = -47*g - r. Let o be (-12)/54 - 528/(-189). Factor -o*w + 3/7*w**g + 24/7.
3*(w - 4)*(w - 2)/7
Let h(z) be the second derivative of z**6/90 - 5*z**5/12 - 3*z**4/2 - 2488*z. Suppose h(u) = 0. What is u?
-2, 0, 27
Let l be 10/4*15/(375/40). Let 553*s**l - 555*s**4 - s**3 + 4*s**2 - 2 + 2*s**5 - 3*s**3 + 2*s = 0. What is s?
-1, 1
Let u(p) = 6*p**3 + p**2 + 2*p. Let s(x) = -x**3 + 1. Let m(q) = -s(q) - u(q). Let i be m(-1). Find f, given that 7 + 7*f + 4*f - f - 2 + i*f**2 = 0.
-1
Let o be (-20)/10*(-11)/(-2). Let s be (1 + -4 + o/(-3))*6. Factor -7*c**5 + 11*c**5 + 3*c**s + c**3 - 8*c**4.
c**3*(c - 1)*(4*c - 1)
Factor -12*x + 263120*x**2 + 132*x - 263119*x**2.
x*(x + 120)
Let d = 274 + -275. Let a(c) = c**3 - c**2 + c. Let v(l) = -5*l**4 + 37*l**3 + 18*l**2 - 113*l - 80. Let j(w) = d*v(w) - 3*a(w). Factor j(i).
5*(i - 8)*(i - 2)*(i + 1)**2
Let t(h) be the third derivative of 11*h**8/504 + h**7/63 - 17*h**6/180 - h**5/18 + h**4/6 + 475*h**2. Solve t(v) = 0.
-1, 0, 6/11, 1
Let i = 26548 - 26548. Factor 2/5*w**2 - 2/5*w**4 - 1/5*w + 1/5*w**5 + 0 + i*w**3.
w*(w - 1)**3*(w + 1)/5
Let n(z) = 3*z**3 - 12*z**2 + 26*z - 102. Let c be n(4). Factor 0 - 8/5*r - 2*r**c - 2/5*r**3.
-2*r*(r + 1)*(r + 4)/5
Let y(k) be the third derivative of -k**6/160 - 209*k**5/80 - 207*k**4/16 + k**2 + 21. Find p such that y(p) = 0.
-207, -2, 0
Suppose 3*b = -3*b - 492. Let v = b + 84. Solve 3*h**3 - 6*h + 794*h**5 - 6*h**4 - 791*h**5 - 3*h**4 + 9*h**v = 0 for h.
-1, 0, 1, 2
Let y be ((-247)/(-1729))/(2/14)*0. Solve 20/3*t**4 + 0 + 5/3*t**2 + y*t + 25/3*t**3 = 0.
-1, -1/4, 0
Let r(f) be the second derivative of 2*f**6/45 - 634*f**5/15 + 33496*f**4/3 + 1268*f**3/9 - 200978*f**2/3 + 675*f. Solve r(x) = 0 for x.
-1, 1, 317
Let v be -4*(-3 + 25/(-10)). Suppose v = -29*n + 40*n. Factor 1/12*p**3 - 1/12*p**n + 0 + 0*p.
p**2*(p - 1)/12
Suppose 83 = 2*q - 109. Find z such that -16*z**4 - 5*z**2 - 42*z**2 + 4*z**4 + q + 63*z + 49*z - 57*z**2 - 92*z**3 = 0.
-6, -2, -2/3, 1
Let t = -440568/13 - -33890. Factor -16/13*h + t*h**2 + 32/13.
2*(h - 4)**2/13
Let 1118/3*y - 1/9*y**2 - 312481 = 0. What is y?
1677
Suppose -2*h - w = h - 6, 0 = 5*h - 3*w - 24. Let s(d) = 68*d + 2383. Let u be s(-35). Factor 19*i**u - 12*i**h - 6*i**2 - 9*i**3 - 4*i.
-2*i*(i + 1)*(i + 2)
Let t = 5/7 - 3/14. Let p be (1209/41106)/((-36)/(-34) + -1). Find a such that -a**2 + 0*a + t + 0*a**3 + p*a**4 = 0.
-1, 1
Let g(f) be the first derivative of 8/3*f + 4/3*f**2 + 3 + 2/9*f**3. Factor g(r).
2*(r + 2)**2/3
Let m be 3 - 5*(2 + (-15)/6). Let d = -17161 - -17164. Solve -m*v**2 + 4 - 3/2*v**d + 3*v = 0 for v.
-4, -2/3, 1
Let x be -11 + 24/324 + 11. Let f(i) be the first derivative of 0*i + x*i**3 + 0*i**2 - 12 - 1/18*i**4. Let f(d) = 0. Calculate d.
0, 1
Suppose -8*u + 61923 + 15005 = 0. Factor 42135*s + 195397 + u - 795*s**2 - 288664 + 5*s**3 - 313728 - 347006.
5*(s - 53)**3
Let c(f) be the first derivative of 11*f**3/15 + 5179*f**2/10 - 942*f/5 - 405. Factor c(b).
(b + 471)*(11*b - 2)/5
Let -6 + 6*l**2 - 9/4*l**4 - 15/8*l**3 - 3/8*l**5 + 9/2*l = 0. What is l?
-4, -2, 1
Let t(u) be the first derivative of u**4/8 - 61*u**3/6 + 339*u**2/4 - 495*u/2 - 2548. Suppose t(o) = 0. What is o?
3, 55
Suppose 0 = -5*p - 4*n + 18, 7 = 3*n + 1. Determine a so that 2*a**4 + 3*a**2 - 9*a**p + 4*a**2 = 0.
-1, 0, 1
Let z(j) be the second derivative of -j**5/60 + 91*j**4/18 + j**3/18 - 91*j**2/3 + 3232*j. Factor z(m).
-(m - 182)*(m - 1)*(m + 1)/3
Let -200/11*l**2 - 2/11*l**3 + 2/11*l + 200/11 = 0. Calculate l.
-100, -1, 1
Let -12*b + 100*b**4 + 18*b**2 - 103*b**4 - 264 - 57*b**3 + 180*b**2 = 0. What is b?
-22, -1, 2
Let s(d) = 6*d**2 + 165*d + 2358. Let x(i) = i**2 - i - 6 + 0 + 17 - 5 - 4. Let f(w) = s(w) - 3*x(w). Factor f(n).
3*(n + 28)**2
Suppose t + 2 = -2*r, 2*r + 5*t + 13 - 3 = 0. Let o be 4*(r + 7 - 194/28). Factor -8/7*s + 8/7*s**3 + o*s**4 - 8/7 + 6/7*s**2.
2*(s - 1)*(s + 1)*(s + 2)**2/7
Let t be (-925)/(-315) - 3 - (-10)/35*1. Let q(d) be the third derivative of -t*d**3 - 1/36*d**4 + 27*d**2 + 1/90*d**5 + 0 + 0*d. Solve q(a) = 0 for a.
-1, 2
Solve -8*s - 28/3*s**3 + 52/3*s**2 + 4/3*s**5 + 