 3*z - 110. Factor n(s).
2*(s + 673)**2/5
Let c(d) = 8*d**2 - 168*d - 24. Let y(w) = 26*w**2 - 504*w - 80. Let m(u) = 10*c(u) - 3*y(u). Solve m(h) = 0 for h.
0, 84
Let n(w) be the second derivative of -w**5/4 - 10*w**4/3 - 25*w**3/2 - 149*w + 2. Factor n(i).
-5*i*(i + 3)*(i + 5)
Suppose 1/3*d**2 + 135/2*d - 203/6 = 0. What is d?
-203, 1/2
Let u be 441623/125545 + 3/(51/(-2)). Factor u*j**3 + 3/5*j + 0 - 13/5*j**2 - 7/5*j**4.
-j*(j - 1)**2*(7*j - 3)/5
Suppose 40*f - 984 = 37*f. Suppose -f*z**4 - 14*z + 169*z**4 + 28*z**3 + 167*z**4 + 8 - 14*z**5 - 16*z**2 = 0. Calculate z.
-1, 4/7, 1
Let v(l) = 1 + 3*l**2 - 1 + l + 0. Let t be v(-1). Determine p, given that 4 - 2*p - 22*p**t + 18*p + 2*p = 0.
-2/11, 1
Let p(z) be the first derivative of 49*z**3/3 - 42*z**2 + 36*z + 617. Find g, given that p(g) = 0.
6/7
Let o(x) = 8*x**2 - 994*x - 924. Let w(g) = -2*g**2 + 24*g. Let v(h) = o(h) + 3*w(h). Factor v(y).
2*(y - 462)*(y + 1)
Let m(u) be the third derivative of 75*u**8/448 - 191*u**7/7 - 8773*u**6/160 + 909*u**5/40 + 925*u**4/8 + 103*u**3 - 2763*u**2. Let m(y) = 0. What is y?
-1, -2/5, 2/3, 103
Let l(q) be the third derivative of q**7/1680 + q**6/120 + q**5/20 - q**4/24 - 191*q**2. Let k(m) be the second derivative of l(m). Factor k(b).
3*(b + 2)**2/2
Let q = 222647/4 - 55655. Let -q*i**3 - 27/2 + 87/4*i - 9/4*i**2 + 3/4*i**4 = 0. Calculate i.
-2, 1, 9
What is b in -36*b**2 + 11*b**2 + 11*b**2 + 5*b**2 + 7*b**2 + 10*b = 0?
0, 5
Let p(v) be the second derivative of -v**4/96 + 3*v**3/8 + 63*v**2/16 - 2*v + 176. Factor p(x).
-(x - 21)*(x + 3)/8
Suppose 31*h + h - 96*h + 296 = 84*h. Factor -4 + 5*l**h - 1/2*l**3 - 2*l**4 + 2*l - 1/2*l**5.
-(l - 1)**2*(l + 2)**3/2
Let z(m) be the third derivative of -m**7/1155 - 3*m**6/220 - 13*m**5/330 + 3*m**4/44 + 14*m**3/33 + 140*m**2 - 3. Suppose z(v) = 0. Calculate v.
-7, -2, -1, 1
Suppose 58 = -8*m + 74. Suppose -2*p = -d + 13, -7*d + 5*d + m = 2*p. Find l, given that -3/4*l**d + 0*l**3 + 0*l**2 + 0*l + 3*l**4 + 0 = 0.
0, 4
Let t(p) be the first derivative of -3*p**7/1960 + p**6/84 - 3*p**5/280 - 2*p**3 + 52. Let z(r) be the third derivative of t(r). Factor z(x).
-3*x*(x - 3)*(3*x - 1)/7
Suppose -55*r + 169*r - 456 = 0. Let q(i) be the third derivative of 0*i - 1/20*i**5 - 3/4*i**r - 12*i**2 + 0 - 5/2*i**3. Factor q(w).
-3*(w + 1)*(w + 5)
Let s(p) = -2*p - 27. Let l be s(-15). Let v be l + (3 - -1 - 5). Factor 4*j**2 + 3*j + 0*j**v + 23*j - 6*j.
4*j*(j + 5)
Let w(y) be the third derivative of -y**7/42 + 40*y**6/3 - 2862*y**5 + 786520*y**4/3 - 5955080*y**3/3 - 4269*y**2. Find v such that w(v) = 0.
2, 106
Suppose -3*g = -u - 7 - 5, 0 = -g - 5*u + 20. Factor 40*h**2 - g*h**4 - 93 + 48 - 35.
-5*(h - 2)**2*(h + 2)**2
Let y(t) be the third derivative of -1/24*t**4 - 43*t + 2*t**2 + 0 + 1/120*t**5 + 0*t**3. Find v such that y(v) = 0.
0, 2
Let f(q) be the first derivative of 19/3*q**3 + 1/24*q**5 + 1/72*q**6 - 5/12*q**4 + 0*q + 4 + 0*q**2. Let t(i) be the third derivative of f(i). Solve t(x) = 0.
-2, 1
Let g = 566161 - 566159. Solve -18/5*z**3 + 16/5*z + 2/5*z**5 - 4/5*z**4 + 4/5*z**g + 0 = 0.
-2, -1, 0, 1, 4
Factor -4/5*n**2 + 1656 - 156/5*n.
-4*(n - 30)*(n + 69)/5
Suppose -30676/3*w**2 - 960400/3 - 121520*w + 248*w**3 - 4/3*w**4 = 0. Calculate w.
-5, 98
Let y = 508684/218007 + -1/218007. Factor -y + 4/3*w**2 + 9*w.
(w + 7)*(4*w - 1)/3
Let x(a) be the second derivative of 1/90*a**5 + 0*a**2 + 77*a + 0 - 1/3*a**3 + 4/27*a**4. Suppose x(h) = 0. Calculate h.
-9, 0, 1
Let y(w) = -230*w - 2200. Let f(s) = -s**2 + 4*s - 1. Let k(b) = -5*f(b) - y(b). Determine n, given that k(n) = 0.
-21
Let h(p) be the first derivative of -4/21*p**3 + 6*p + 19 + 1/126*p**4 + 12/7*p**2. Let n(m) be the first derivative of h(m). Solve n(a) = 0.
6
Let n(o) be the second derivative of -o**5/90 + 58*o**4/27 - 4100*o**3/27 + 40000*o**2/9 + 439*o - 3. Suppose n(z) = 0. Calculate z.
16, 50
Factor 110*j**2 - 7*j**3 + 0*j**3 - 2040 + 2*j**3 + 2184*j - 2489*j.
-5*(j - 17)*(j - 8)*(j + 3)
Let b(q) = -q - 19. Let d be b(-27). Factor -1 - 11*u - 1 - 4*u - d - 5*u**2.
-5*(u + 1)*(u + 2)
Let i(j) be the third derivative of j**6/180 - 4*j**5/45 - 20*j**4/3 + 256*j**3 - 5274*j**2. What is t in i(t) = 0?
-16, 12
Let f(b) be the second derivative of b**7/84 - 83*b**6/60 + 164*b**5/5 + 2107*b**4/3 + 12236*b**3/3 + 10580*b**2 + 6302*b. What is v in f(v) = 0?
-5, -2, 46
Let r = 18883 + -18880. Let h(x) be the first derivative of 0*x**r + 1/8*x**4 + 12 - x - 3/4*x**2. Find o, given that h(o) = 0.
-1, 2
Suppose 5 = -2*o + 9. Let i(l) = 13*l - 1413. Let k be i(109). Factor 0*a**3 - 5/2*a + 0 - 5/4*a**k + 15/4*a**o.
-5*a*(a - 1)**2*(a + 2)/4
Suppose 15 = -5*k, 0 = -0*j - j - 4*k + 28. Factor -7*w**4 + 4*w**4 + 8*w**4 + 15*w**2 + 75*w**2 + 35*w**3 + 100*w + j.
5*(w + 1)*(w + 2)**3
Let r(z) be the first derivative of 54*z**3/5 + 18*z**2 + 10*z - 2849. Let r(f) = 0. Calculate f.
-5/9
Let v(s) be the first derivative of s**6/660 - s**5/20 - 3*s**4/11 + 2*s**3 + s - 22. Let c(y) be the third derivative of v(y). Factor c(o).
6*(o - 12)*(o + 1)/11
Let a(i) be the second derivative of i**4 + i**3/6 + i**2/2 + 30*i. Let z be a(-1). Solve z*u**2 - 12*u - 12*u**3 + 6*u**2 - 9*u**4 + 6 + 12*u**4 - 3 = 0.
1
Factor 36/5*v**2 + 31*v + 0 + 1/5*v**3.
v*(v + 5)*(v + 31)/5
Let r(m) be the second derivative of -2*m**6/105 + 123*m**5/35 - 1681*m**4/7 + 137842*m**3/21 + m + 1347. Factor r(y).
-4*y*(y - 41)**3/7
Let j(n) be the first derivative of 28/5*n - 161 + 2/15*n**3 + 9/5*n**2. Factor j(o).
2*(o + 2)*(o + 7)/5
Solve 895*i + 197 + 451 + 2178*i**2 + 6*i**5 + 110*i**4 + 738*i**3 - 417*i + 653*i + 1461*i = 0 for i.
-6, -3, -1/3
Let h(b) = -4623*b**2 - 2113*b - 2650*b**2 - 167 + 37*b**3 - 1727*b**3. Let f(o) = 845*o**3 + 3637*o**2 + 1057*o + 83. Let u(j) = -7*f(j) - 3*h(j). Factor u(i).
-5*(i + 4)*(13*i + 2)**2
Suppose -20*p = -41*p + 25*p - 16. Let t(o) be the second derivative of 3/4*o**5 + 5/4*o**p + 5/6*o**3 + 1/6*o**6 - 33*o + 0 + 0*o**2. Let t(g) = 0. What is g?
-1, 0
Let j(t) be the second derivative of t**7/6720 - t**6/480 + 20*t**4/3 + t**3/6 - 88*t. Let u(x) be the third derivative of j(x). Factor u(h).
3*h*(h - 4)/8
Let f = 1577211 - 1577209. Determine s, given that 48/17 - 50/17*s + 2/17*s**f = 0.
1, 24
Let d(r) = -r**2 + r. Let l(w) = -300*w - 290. Let a(v) = 5*d(v) + l(v). Factor a(u).
-5*(u + 1)*(u + 58)
Suppose 242 = 103*y + 18*y. Let k(x) be the first derivative of -5/4*x**y + 19/6*x**3 - 31 + 0*x + 1/2*x**4. Factor k(o).
o*(o + 5)*(4*o - 1)/2
Let m = 5014/5 - 990. Let l = -247799 + 1238999/5. Let -256/5 + m*q - l*q**2 = 0. Calculate q.
8
Factor 1/3*b**2 + 5/6*b - 1/6*b**3 - 1.
-(b - 3)*(b - 1)*(b + 2)/6
Let p(l) be the third derivative of l**6/270 - 7*l**5/135 - 20*l**4/27 - 88*l**3/27 + 1666*l**2. What is v in p(v) = 0?
-2, 11
Let s(o) = -o - 3. Let p(d) = d**2 + 22*d + 34. Let t be p(-20). Let c be s(t). Solve u + 2 - u - 30*u**3 - 6*u**4 - 8 + 9*u**5 + 36*u**2 - c*u = 0.
-2, -1/3, 1
Let d(c) be the second derivative of -c**5/80 + c**4/16 + 3*c**3/8 + 34*c**2 + 82*c. Let f(g) be the first derivative of d(g). Determine x, given that f(x) = 0.
-1, 3
Let m(l) = 5*l**2 - 13*l + 11. Let c(f) = 11*f**2 - 25*f + 21. Let j be (-1)/((-1)/(-12)*-4). Let s(u) = j*c(u) - 7*m(u). Solve s(i) = 0.
1, 7
Let v(j) be the first derivative of -13/11*j**2 + 10/11*j**3 + 99 - 7/22*j**4 + 2/55*j**5 + 8/11*j. Determine p so that v(p) = 0.
1, 4
Find o such that 654/5 - 2/5*o**2 + 212/5*o = 0.
-3, 109
Suppose -20*m + 17*m = -21. Let l be m*(-24)/(-14) + -9. Factor -48/7 + 2/7*t**4 - 12/7*t**2 + 6/7*t**l - 8*t.
2*(t - 3)*(t + 2)**3/7
Let c(k) be the third derivative of 0*k - 1/210*k**5 - 5/7*k**3 - 60*k**2 + 0 + 4/21*k**4. Factor c(i).
-2*(i - 15)*(i - 1)/7
Let k(h) = -h**2 - 2*h + 41. Let g = -64 - -64. Let w be k(g). Suppose y + w - 24 + y**3 + 2*y**2 - 17 = 0. Calculate y.
-1, 0
Suppose 0 = -57*h + 64*h - 546. Let p = h - 75. Factor 110*t**3 - 116*t**p - 3*t**5 + 5*t**5 + 4*t**2.
2*t**2*(t - 1)**2*(t + 2)
Let i(g) = 5*g + 113. Let m be i(-11). Factor -27 + 33 + 30*o + m + 32*o**2 + 50*o + 4*o**3.
4*(o + 2)**2*(o + 4)
Let w(y) be the first derivative of 5*y**3/3 + 605*y**2/2 - 1230*y + 3627. Factor w(m).
5*(m - 2)*(m + 123)
Suppose 15*p + 8887 = -1223. Let a = p + 4045/6. Factor -1/3*b + a*b**