 - 3464*d**3/15 + 5472*d**2/5 - 2176*d - 5066. Solve t(g) = 0 for g.
2, 4, 170
Suppose -49*r + 40 = -29*r. Factor -6*a**2 + 10*a**2 - 32*a - 4*a**3 - r + 18 - a**2 + 17*a**2.
-4*(a - 2)**2*(a - 1)
Let k(v) be the third derivative of -v**6/360 - 5*v**5/12 - 19*v**4 + 722*v**3/9 + 307*v**2. Factor k(g).
-(g - 1)*(g + 38)**2/3
Suppose 18480*y - 18482*y = -10. Let o(v) be the second derivative of -1/21*v**3 + 1/70*v**y - 26*v + 0*v**2 + 0 + 1/105*v**6 - 1/42*v**4. Factor o(w).
2*w*(w - 1)*(w + 1)**2/7
Factor 10935*b**4 - 10933*b**4 + b**2 - 122*b**3 - b**2.
2*b**3*(b - 61)
Let s be (-15)/(1365/(-2730)*(-1)/((-5)/21)). Factor 52/7*r - s - 2/7*r**2.
-2*(r - 25)*(r - 1)/7
Find v, given that 84455/3*v - 88445 - 28150*v**3 + 266650/3*v**2 - 1315/3*v**4 - 5/3*v**5 = 0.
-133, -1, 1, 3
Let k(b) be the third derivative of -b**5/20 + 155*b**4/8 - 153*b**3 - 126*b**2 + 2*b + 1. Solve k(q) = 0.
2, 153
Let j(x) = -63*x**2 - 1065*x + 104. Let r be j(-17). Determine d, given that -288/7 + 2/7*d**3 + 46/7*d**r + 240/7*d = 0.
-12, 1
Let g(d) = -19*d**4 + 10*d**3 - 57*d**2 + 42*d + 18. Let o(m) = -54*m**4 + 31*m**3 - 170*m**2 + 125*m + 51. Let w(z) = -17*g(z) + 6*o(z). What is v in w(v) = 0?
0, 1, 3, 12
Let d = -4685 + 4687. Let g(i) be the first derivative of 0*i**d + 18 + 0*i + 5/4*i**4 - 5/3*i**3. Find f, given that g(f) = 0.
0, 1
Let h be 24/30*10/((-56)/(-7) - -8). Factor h*g**2 - 11/2*g + 9.
(g - 9)*(g - 2)/2
Let q be (1408/(-5))/((-5)/(-25)). Let p be q/(-1320) - (1 + 6/(-10)). Find y, given that -4*y**3 - 28/3*y**2 + 2/3*y**5 - 2 - 22/3*y + p*y**4 = 0.
-1, 3
Suppose 275*b - 240 = 227*b. Suppose 2*v + 5*j = 3*v - 19, 5*j = 2*v - 23. Factor 4/3*r**2 - 2*r + 2/3 + 4/3*r**3 + 2/3*r**b - 2*r**v.
2*(r - 1)**4*(r + 1)/3
Let t(o) be the first derivative of o**8/2016 - o**7/315 + o**6/144 - o**5/180 + 43*o**2/2 - 37. Let j(c) be the second derivative of t(c). Factor j(q).
q**2*(q - 2)*(q - 1)**2/6
Let z be 9 + 12/(-4) + (-3 - -2). Let s be (3 - 0) + -4 + z. Solve 23*i**2 - i - 4*i**s - 11*i**2 + 9*i = 0.
-1, 0, 2
Suppose 2*y - 7*y = -15. Suppose -8*j**5 + 5*j**5 + 5*j**5 - 3 - 9 - 12*j**y - 8*j**2 + 4*j**4 + 26*j = 0. What is j?
-3, -2, 1
Let -4/5*k**5 - 5076/5*k + 3528/5*k**2 + 2484/5 + 132/5*k**4 - 1064/5*k**3 = 0. What is k?
1, 3, 23
Let w(n) be the first derivative of 0*n**2 + 5 + 1/30*n**6 + 0*n**5 - 18*n + 0*n**3 - 1/12*n**4. Let i(p) be the first derivative of w(p). Factor i(t).
t**2*(t - 1)*(t + 1)
Suppose -10*j + 2644 + 356 = 0. Let d be (j/48 + -6)*8. Factor 8/7*v**3 + 0 + 4/7*v**d - 8/7*v - 4/7*v**4.
-4*v*(v - 2)*(v - 1)*(v + 1)/7
Let u(g) be the second derivative of -253 + 2/9*g**3 - g - 1/36*g**4 + 0*g**2. Factor u(o).
-o*(o - 4)/3
Suppose -65 = -50*m + 35. Determine u so that 15*u**2 + 10*u**2 - 30*u**m - 4*u**3 + 3*u**3 + 12*u**2 = 0.
0, 7
Let l(g) be the second derivative of -3*g**6/35 - 2811*g**5/35 - 879841*g**4/42 - 194896*g**3/7 - 97344*g**2/7 - 3742*g. Factor l(u).
-2*(u + 312)**2*(3*u + 1)**2/7
Let t(x) be the first derivative of -15*x**4/8 - 1625*x**3/6 - 1610*x**2/3 - 1070*x/3 + 122. Factor t(d).
-5*(d + 107)*(3*d + 2)**2/6
Let x(q) be the third derivative of q**8/112 - 23*q**7/70 - 121*q**2 + 2*q. Let x(u) = 0. Calculate u.
0, 23
Let t(c) be the first derivative of -2*c**3/9 + 86*c**2/3 - 170*c/3 + 6370. Let t(q) = 0. Calculate q.
1, 85
Let d = 1/2479 - -795757/4958. Let j = d - 959/6. Solve -j*y**4 + 0 + 2/3*y - 2*y**2 + 2*y**3 = 0 for y.
0, 1
Let q(n) = -n**3 + 8*n**2 + 11*n - 12. Let v = 12 - 3. Let h be q(v). Factor -12*c**3 - 3*c**3 + h*c**2 + 17*c**3.
2*c**2*(c + 3)
Let l = -237127 + 237130. Factor -4/7*v - 2/7*v**2 + 2/7*v**l + 0.
2*v*(v - 2)*(v + 1)/7
Let b(c) = 472*c - 2806. Let v be b(6). Let i(z) be the first derivative of 2/15*z**6 + 16/15*z**3 - 12/25*z**5 + v + 0*z**4 + 0*z + 0*z**2. Factor i(s).
4*s**2*(s - 2)**2*(s + 1)/5
Let r(a) be the third derivative of 0*a**4 - 2/15*a**5 + 0*a - 1/30*a**6 + 0*a**3 + 0 + a**2. Suppose r(j) = 0. What is j?
-2, 0
Let m be -1*(27 + -24 - (-16)/(-2)). Let v(z) be the third derivative of 1/75*z**m + 11*z**2 + 1/60*z**4 + 0 - 1/15*z**3 + 0*z. Factor v(l).
2*(l + 1)*(2*l - 1)/5
Let i(j) be the first derivative of j**4/12 - 2*j**3/3 - 5*j**2/2 + 50*j - 19. Let s(n) be the first derivative of i(n). Factor s(z).
(z - 5)*(z + 1)
Let g(z) be the second derivative of -z**7/126 - 7*z**6/30 - 33*z**5/20 - 15*z**4/4 + 8*z - 306. Factor g(v).
-v**2*(v + 3)**2*(v + 15)/3
Let c(y) be the third derivative of 3*y**7/560 + 59*y**6/192 + 1067*y**5/160 + 3751*y**4/64 - 1331*y**3/24 - 1302*y**2 + 3. Let c(v) = 0. What is v?
-11, 2/9
Let j(v) be the first derivative of -v**3/2 - 1341*v**2/2 - 599427*v/2 + 1563. Factor j(i).
-3*(i + 447)**2/2
Suppose -4*i = 2*d - 34, 107*i - 2*d = 112*i - 36. Let -3/2*x + i*x**2 - 1/2*x**3 + 0 = 0. Calculate x.
0, 1, 3
Let g(n) be the first derivative of -143 - 16/3*n**4 + 32/9*n**3 + 32/3*n**2 - 64/3*n - 2/9*n**6 + 28/15*n**5. Factor g(r).
-4*(r - 2)**4*(r + 1)/3
Let k = -5/74 + 331/518. Let y = 2499 + -2499. Factor 0 + y*x + 0*x**2 - 2/7*x**4 + k*x**3.
-2*x**3*(x - 2)/7
Let x = -9056/5 - -1711. Let i = x + 5561/55. Factor i*v + 8/11*v**2 + 2/11.
2*(v + 1)*(4*v + 1)/11
Let a(x) be the third derivative of -x**6/3420 + x**5/285 - x**4/57 + 31*x**3/6 - 2*x**2 - 3. Let h(p) be the first derivative of a(p). Factor h(q).
-2*(q - 2)**2/19
Let m(c) = 2*c**3 - 80*c**2 - 84*c + 88. Let u be m(41). Let k(v) be the first derivative of -2/3*v**3 - 2*v**2 + 1 + u*v. Factor k(i).
-2*(i - 1)*(i + 3)
Let j(w) = -163*w**2 - 70*w - 12. Let q(i) = -41*i**2 - 19*i - 3. Let c(t) = 6*j(t) - 26*q(t). Solve c(f) = 0.
-3/4, -1/11
Let o(g) = 4*g**2 - g + 1. Let f(s) = 20*s**2 + 18*s - 26. Let z(q) = -f(q) + 6*o(q). Factor z(i).
4*(i - 4)*(i - 2)
Let w(j) be the first derivative of -2*j**6/21 - 428*j**5/35 - 418*j**4/7 - 2488*j**3/21 - 118*j**2 - 412*j/7 + 386. Find k such that w(k) = 0.
-103, -1
Let u(p) = -p**2 + 8*p - 7. Let v be u(5). Let c be 396/(-39)*(-3445)/2385. Factor c*l + v*l**2 - 8/3.
4*(l + 2)*(6*l - 1)/3
Let p(r) = -11*r + 8. Let y be p(-2). Let a = -23 + y. Factor -2 + d**2 - 2 + 4*d + 0 + a.
(d + 1)*(d + 3)
Suppose y - k - 6 = 0, 5*k = -2*y - 13 - 10. Suppose 3*l - y = -h, 10 + 3 = 4*l - h. Let l*b**4 + 5*b**3 - 2 + 6*b**2 - b - 2*b**3 + 4*b**3 = 0. Calculate b.
-2, -1, 1/2
Let q(c) be the third derivative of 0 + 1/3*c**4 + 0*c**3 + 1/30*c**6 - 5*c**2 + 1/5*c**5 - 2*c. Factor q(f).
4*f*(f + 1)*(f + 2)
Let x(q) = -837*q + 76170. Let t be x(91). Let -2/15*m**t + 2/15*m**4 - 4/15 - 2/5*m**2 + 2/3*m = 0. Calculate m.
-2, 1
Let c(q) be the third derivative of q**8/84 + 8*q**7/21 + 71*q**6/15 + 28*q**5 + 147*q**4/2 + 25*q**2 - 15*q + 2. Solve c(b) = 0 for b.
-7, -3, 0
Factor 84*n - 6*n + 102*n**2 + 25*n - 15*n - 18*n**2 - 4*n**3.
-4*n*(n - 22)*(n + 1)
Suppose 28716*d + 480*d**3 + 16*d**4 - 4*d**5 - 36600*d**2 - 262716*d - 3*d**4 + 270000 + d**5 + 110*d**4 = 0. What is d?
-10, 1, 30
Let z = 869 + -493. Let f = 1886/5 - z. Factor -9/5*t**2 + 0 - f*t.
-3*t*(3*t + 2)/5
Let a(p) = 7*p + 91. Let r be a(-36). Let g = r + 164. Factor 0 + 0*o**g + 2/13*o**5 + 0*o + 0*o**2 + 2/13*o**4.
2*o**4*(o + 1)/13
Let h(a) be the second derivative of -a**4/30 + 41*a**3 + 1234*a**2/5 + 999*a - 1. Factor h(q).
-2*(q - 617)*(q + 2)/5
Factor 232/5*t**3 - 1192/5*t**2 + 1364/5*t - 484/5 + 4/5*t**5 + 76/5*t**4.
4*(t - 1)**3*(t + 11)**2/5
Let b(j) be the third derivative of -j**5/40 + 11*j**4/4 - 92*j**2 - 5. What is s in b(s) = 0?
0, 44
Let o(t) be the second derivative of 5*t**4/12 - 5*t**3/6 + t + 67. Let c(h) = -56*h**2 + 58*h. Let a(j) = 6*c(j) + 68*o(j). Let a(v) = 0. What is v?
-2, 0
Let n(c) = -14*c**2 + 680*c + 6. Let o(r) = -24*r**2 + 1360*r + 10. Let j(h) = 10*n(h) - 6*o(h). Find p such that j(p) = 0.
0, 340
Let z = 687/7 + -685/7. Let g(f) be the third derivative of -14*f**2 + 0 - 1/12*f**4 - z*f**3 + 0*f - 1/210*f**5. Let g(r) = 0. What is r?
-6, -1
Let 1674/5 + 3351/5*m + 336*m**2 + 3/5*m**3 = 0. Calculate m.
-558, -1
Let l(v) = -v**2 - 7*v + 19. Let n be l(-8). Suppose -4*k - 3*x + 48 - n = 0, -6 = -k - 4*x. Suppose 22*c**2 - 6*c - k*c**2 - 3*c - 15*c**2 = 0. Calculate c.
-3, 0
Let l(v) be the second derivative of v**5/180 - 1375*v**4/12 + 1890625*v**3/2 - 7798828125*v**2/2 + 4180*v. Find u, given that l(u