5*g**2.
-2*(g - 6)*(g + 1)*(11*g - 14)
Let p(n) = -27*n**2 + 2*n**3 + 787 - n**3 - 9 - 11*n - 256 - 222. Let i be p(27). Factor -2*u**2 - 8/3*u**i + 0 + 1/3*u**5 + 7/3*u + 2*u**4.
u*(u - 1)**2*(u + 1)*(u + 7)/3
Let t = 9056 + -9054. Let a(p) be the third derivative of 0*p**3 + 0*p + 0 + 31*p**t + 1/300*p**6 + 4/15*p**4 - 4/75*p**5. Factor a(o).
2*o*(o - 4)**2/5
Let a(y) be the first derivative of -3*y**6/4 - 141*y**5/10 + 395*y**4/8 + 103*y**3/2 + 27*y**2/2 + 1042. Find d such that a(d) = 0.
-18, -1/3, 0, 3
Find q such that 2802/5*q - 654267/5 - 3/5*q**2 = 0.
467
Let q be (-37)/(-11) + 13*184/(-6578). Let m(p) be the first derivative of 0*p + 4/21*p**q + 1/14*p**4 + 12 + 1/7*p**2. Solve m(k) = 0.
-1, 0
Let s(a) be the second derivative of 19*a + 7/40*a**5 + 0*a**2 + 0*a**6 + 0*a**3 - 1/84*a**7 + 1/4*a**4 + 1. Find l such that s(l) = 0.
-2, -1, 0, 3
Let r be 1370/24 + (-3)/36. Factor -17*x**3 + r*x**3 - 19*x**3 - 22*x**3 + x.
-x*(x - 1)*(x + 1)
Suppose -3*j + 4*j + 1028 = -5*z, 622 = -3*z + 2*j. Let m = z + 209. Let -8/11*p**m + 0 - 10/11*p**2 - 2/11*p = 0. What is p?
-1, -1/4, 0
Let o = -592 - -613. Suppose 4*m + 29*u - 26*u = o, 0 = 3*u - 9. Factor b - 1/3 + 1/3*b**m - b**2.
(b - 1)**3/3
Let u(i) = -8*i**5 - 27*i**4 - 81*i**3 + 134*i**2 - 3. Let c(x) = 2*x**5 - x**4 - 5*x**3 - 2*x**2 + 1. Let k(m) = -3*c(m) - u(m). Let k(f) = 0. Calculate f.
-8, 0, 1
Let r(d) be the third derivative of d**7/210 + 113*d**6/120 - 229*d**5/60 + 115*d**4/24 - 9695*d**2. Factor r(k).
k*(k - 1)**2*(k + 115)
Let x(l) be the first derivative of -2/5*l**5 + 1/3*l**6 - 3/2*l**4 + 2*l**2 + 2/3*l**3 - 2 + 0*l. Solve x(m) = 0 for m.
-1, 0, 1, 2
Let b(p) = p**2 - 2*p - 3. Let h be b(-2). Suppose 39*y**2 + 3*y**4 - 27*y**3 - 304 - 5*y**4 + 3*y**h + 268 - y**4 + 24*y = 0. What is y?
-3, -1, 1, 2
Let i(r) be the third derivative of 11/20*r**5 + 19/40*r**6 + 3 + 0*r**3 - 9*r**2 + 1/14*r**7 - 3/8*r**4 + 0*r. Factor i(h).
3*h*(h + 1)*(h + 3)*(5*h - 1)
Solve 1/3*i**3 + 0 + 55/3*i**2 - 38*i = 0.
-57, 0, 2
Let a(x) be the second derivative of -x**7/21 - x**6/15 + 3*x**5 + 16*x**4/3 - 160*x**3/3 - 6764*x. Suppose a(q) = 0. What is q?
-4, 0, 2, 5
Find t such that -2920*t - 14*t**2 + 3392*t + 820 + 2394*t = 0.
-2/7, 205
Let y be 24/(1272/(-1325))*-1*12/40. What is i in 0 + y*i**4 - 15/2*i**2 + 5/2*i - 145/2*i**3 + 70*i**5 = 0?
-1, -1/4, 0, 1/7, 1
Let o(z) be the first derivative of -2*z**5/15 - z**4 - 2*z**3 + 2512. Factor o(m).
-2*m**2*(m + 3)**2/3
Determine h so that -692/5*h**2 - 64/5 - 36/5*h**4 - 424/5*h - 368/5*h**3 = 0.
-8, -1, -2/9
Let d = 22859 + -45697/2. Solve -3/2*b**2 + d + 9*b = 0.
-1, 7
Suppose o**3 + 113*o + 65 - 13*o**2 + 90*o - 72*o + 80*o**2 = 0. What is o?
-65, -1
Find f such that -2/7*f**4 + 68/7*f**3 - 7200/7 - 4080/7*f - 338/7*f**2 = 0.
-3, 20
Let k(g) be the second derivative of g**8/6720 - g**7/315 + 7*g**6/720 - 79*g**4/12 - 9*g + 6. Let b(a) be the third derivative of k(a). Factor b(x).
x*(x - 7)*(x - 1)
Suppose 4*k = k. Let v be 179 + (-5 - (k + -3)). Find f such that -5*f**2 + 5 - v*f + 177*f = 0.
-1, 1
Let j(t) be the first derivative of t**3/3 - 115*t**2/2 + 444*t - 2075. Let j(l) = 0. Calculate l.
4, 111
Determine i so that -117/2*i**2 - 35*i**3 + i**5 + 9/2*i**4 + 0 - 20*i = 0.
-8, -1, -1/2, 0, 5
Solve 90/7*o - 1/7*o**5 - 7*o**3 + 0 + 27/7*o**2 + 13/7*o**4 = 0 for o.
-1, 0, 3, 5, 6
Let b(u) = -2*u - 36. Let r be b(-12). Let q be -20*(15/r - -1). Find a, given that 14/3*a**q + 8/3 + 6*a**4 - 26/3*a**2 + 8*a - 38/3*a**3 = 0.
-2, -1, -2/7, 1
Let b be ((-9)/15)/(231/165) - (-348)/420. Find z such that 6/5*z + b*z**2 + 0 = 0.
-3, 0
Let q(p) be the second derivative of p**6/540 + 71*p**5/90 + 5041*p**4/36 + 2*p**3 + 3*p**2/2 - 136*p. Let z(y) be the second derivative of q(y). Factor z(k).
2*(k + 71)**2/3
Factor -54 + 1065*b - 18 - 9*b**2 - 2170*b + 886*b.
-3*(b + 24)*(3*b + 1)
Let s(z) be the second derivative of 44*z + 0 + 1/42*z**3 - 1/140*z**5 + 1/28*z**4 - 3/14*z**2. Let s(i) = 0. What is i?
-1, 1, 3
Let h be (-44)/14*(473/22 - 23). Find d, given that -3/7*d**3 - h*d - 3*d**2 - 15/7 = 0.
-5, -1
Suppose -212 = -40*k - 66*k. Factor 5/4*f + 1/4*f**k + 3/2.
(f + 2)*(f + 3)/4
Let i(v) be the third derivative of -1/21*v**3 + 0 - 1/210*v**5 + 1/42*v**4 - 5*v**2 + v. Solve i(y) = 0 for y.
1
Let y = -8524/15 + 2843/5. Let p be 4/10 - (-40)/25. Factor 0 + y*f - f**3 + 5/3*f**4 - 2/3*f**5 - 1/3*f**p.
-f*(f - 1)**3*(2*f + 1)/3
Let v(z) = -11*z - 47. Let s be v(-5). Suppose -2*l + s = 2. Factor 2*t**4 + t**4 - 2*t**4 - 4*t**2 - t**l + 7*t - 3*t.
t*(t - 2)*(t - 1)*(t + 2)
Let k(p) be the second derivative of -p**4/6 + 1390*p**3/3 - 483025*p**2 + 168*p. Suppose k(j) = 0. Calculate j.
695
Let q(v) be the first derivative of v**6/50 + 6*v**5/25 - 3*v**4/5 - 72*v**3/5 + 93*v + 24. Let m(s) be the first derivative of q(s). Factor m(y).
3*y*(y - 4)*(y + 6)**2/5
Solve -30*u**2 + 6*u**4 + u**5 + 3110 + 3079 - 6165 + 4*u - 5*u**3 = 0 for u.
-6, -2, -1, 1, 2
Let m(l) = 199*l**2 - 303*l - 880. Let u(c) = -40*c**2 + c - 1. Let w(k) = 4*m(k) + 20*u(k). What is g in w(g) = 0?
-295, -3
What is u in -2/3*u**5 + 0 + 0*u + 98/3*u**2 - 26/3*u**4 - 70/3*u**3 = 0?
-7, 0, 1
Let t = -2564 - -2566. Let z(f) be the first derivative of -11 + 4/3*f + 2/9*f**3 + f**t. Factor z(g).
2*(g + 1)*(g + 2)/3
Suppose -1108*r + 1112*r + 2748 = 0. Let l = r - -687. Find u, given that -13/3*u**4 + 0*u + l - 5/3*u**5 - 4/3*u**3 + 4/3*u**2 = 0.
-2, -1, 0, 2/5
Let d(y) be the first derivative of -6 + 0*y - 8/7*y**4 + 0*y**2 - 64/21*y**3 + 4/5*y**5 - 2/21*y**6. Factor d(g).
-4*g**2*(g - 4)**2*(g + 1)/7
Find v, given that -2860*v - 7554*v**2 - 447125*v**3 - 40 - 58636*v**2 - 25844*v**4 - 956647*v**5 + 368402*v**5 + 1130304*v**4 = 0.
-2/49, 1
Let j(f) be the third derivative of -f**5/330 - 5*f**4/33 + 125*f**3/33 + 84*f**2 - 7*f. Find q such that j(q) = 0.
-25, 5
Let r be 1/(-3) + 2 + (-23 - ((-23870)/33)/31). Factor 76/5 + 1/5*m**3 + 3*m**r - 72/5*m.
(m - 2)**2*(m + 19)/5
Suppose 0 = 12*f + f - 7*f. Factor f - 38/3*z**2 + 4*z.
-2*z*(19*z - 6)/3
Let k(v) = -59*v**2 + 29*v - 18. Let q(y) = 217*y**2 - 113*y + 72. Let h(n) = -11*k(n) - 3*q(n). Factor h(i).
-2*(i - 9)*(i - 1)
Let 260/7*o**3 - 4/7*o**4 - 4572/7*o**2 + 15376/7 + 10540/7*o = 0. Calculate o.
-1, 4, 31
Let m(b) be the second derivative of -2*b**7/7 - 22*b**6/3 - 322*b**5/5 - 172*b**4 + 336*b**3 - 850*b. Find o such that m(o) = 0.
-7, -6, 0, 2/3
Solve 658 - 2619*t + 535*t**2 + 321*t**2 + 4*t**3 - 868*t + 11*t + 1958 = 0 for t.
-218, 1, 3
Suppose -551 = -15*j + 229. Let 21*c**4 + 19*c**5 + 6*c**2 + j*c**3 - 7*c**3 + 99*c**4 - c**2 + 61*c**5 = 0. Calculate c.
-1, -1/4, 0
Let u = 59429179/3095270 - -1/619054. Determine o so that 9/5*o**5 + 178/5*o**3 - 148/5*o**2 + 87/5*o**4 + u - 152/5*o = 0.
-6, -4, -1, 2/3
Let s(x) be the second derivative of -41*x**6/90 - 259*x**5/20 - 473*x**4/18 + 4928*x**3/3 - 240*x**2 - 62*x + 2. Suppose s(q) = 0. Calculate q.
-12, 2/41, 5
Let n(q) = -2*q - 72. Let c be n(-36). Let f(t) be the third derivative of c*t - 1/33*t**3 + 0 + 6*t**2 + 1/330*t**5 + 0*t**4. Factor f(k).
2*(k - 1)*(k + 1)/11
Let t(i) = -7641*i - 62 - 13 + 7652*i. Let d be t(7). Factor -o**d - 2/3 + 7/3*o.
-(o - 2)*(3*o - 1)/3
Let g(s) be the first derivative of s**4/14 + 8*s**3/3 - 4*s**2/7 - 32*s + 10905. Factor g(b).
2*(b - 2)*(b + 2)*(b + 28)/7
Let a(k) be the third derivative of k**6/6 + 13*k**5/15 - 73*k**4/3 + 112*k**3/3 + 8*k**2 - 29*k. Factor a(t).
4*(t - 4)*(t + 7)*(5*t - 2)
Let s(p) be the first derivative of -p**5/5 + 3*p**4/4 + 14*p**3 + 50*p**2 + 72*p + 579. Factor s(v).
-(v - 9)*(v + 2)**3
Let a = -87017/4 - -21755. Let d(n) be the first derivative of 12*n**3 - 20 - 21/4*n**4 - 12*n - 6*n**2 + a*n**5. Factor d(s).
3*(s - 2)**3*(5*s + 2)/4
Let s(a) = -4*a**2 - 32*a - 1. Let c be s(-8). Let l be (c/5)/((-14)/56). Solve l*z**5 - 12/5*z**3 + 0*z**2 - 8/5*z**4 + 0 + 0*z = 0.
-1, 0, 3
Let m(f) be the first derivative of f**4/10 - 4*f**3/15 - 8*f**2 - 128*f/5 - 8373. Factor m(y).
2*(y - 8)*(y + 2)*(y + 4)/5
Let y(w) = 29*w**3 - 1453*w**2 + 181519*w + 183014. Let s(m) = 9*m**3 - 485*m**2 + 60507*m + 61005. Let r(a) = 13*s(a) - 4*y(a). What is q in r(q) = 0?
-1, 247
Let g(v) = -4*v**3 + 26*v**2 - 341*v + 781. Let c(r) = -13*r**3 + 73*r**2 - 1025*r + 23