et c(d) be the third derivative of d**6/600 - d**5/75 - 17*d**4/120 + 2*d**3 + 1855*d**2. Let c(m) = 0. Calculate m.
-4, 3, 5
Find x such that -3/4*x**2 + 183/4*x + 195 = 0.
-4, 65
Let l(t) = 2*t + 64. Let n be l(-31). Find z such that 204*z**3 + 7274*z**4 + 6*z**5 - 7326*z**4 - 172*z**n + 40*z - 26*z**5 = 0.
-5, 0, 2/5, 1
Let w(s) be the first derivative of -102675*s**4/4 + 103415*s**3/3 - 1112*s**2/3 + 4*s/3 - 1851. Solve w(y) = 0 for y.
2/555, 1
Let m(n) be the second derivative of -101*n + 0*n**4 + 0*n**2 + 3/20*n**5 + 0 - 1/2*n**3. Solve m(o) = 0 for o.
-1, 0, 1
Let a(w) = -31*w**2 + 413*w - 872. Let k(m) = 9*m**2 - 138*m + 291. Let v(b) = 3*a(b) + 10*k(b). Find g, given that v(g) = 0.
-49, 2
Let w be 16 - (3 + (-14)/2). Suppose 3*g = -s - s + w, 5*g = 5*s. Factor 7*i**2 - 6*i - 4*i**2 - i**2 + 0 + g.
2*(i - 2)*(i - 1)
Let z be 4*15/(-30)*-1. Let q(u) be the first derivative of -20 - 4*u**z + 4*u + 4/3*u**3. Factor q(x).
4*(x - 1)**2
Let n(g) = g**2 + g - 2. Let d be n(2). Suppose 3*i**d + i**2 + i**2 + 803*i**3 - 805*i**3 + 2*i**5 - 5*i**4 = 0. What is i?
-1, 0, 1
Suppose 4*g - 11 = -3. Suppose 25 = -5*s, -3*o + 8*o - 30 = -2*s. Factor g*b**2 - 11*b + 7*b + o*b.
2*b*(b + 2)
Suppose -6*w + 2*u + 38 = -3*w, 0 = 2*w + 3*u - 47. What is s in -60*s + 101*s**2 - 54*s**2 + 4*s**4 - 36*s - 95*s**2 - 68*s**2 - w*s**3 = 0?
-3, -1, 0, 8
Let s(m) be the first derivative of -m**7/2940 + m**6/420 - m**4/21 + 176*m**3/3 - 101. Let c(j) be the third derivative of s(j). Factor c(p).
-2*(p - 2)**2*(p + 1)/7
Suppose -89*z - 88*z = 86*z - 267*z. What is l in -2*l**3 + z*l + 0*l**2 + 0 + 4*l**4 + 5/2*l**5 = 0?
-2, 0, 2/5
Let t(w) = 13*w - 390. Let j be t(31). Let h(r) be the first derivative of 1/8*r**4 - 5/4*r**3 + 1/4*r**5 + 1/2*r**2 - j + r. Factor h(l).
(l - 1)**2*(l + 2)*(5*l + 2)/4
Suppose s + s - 12 = -4*s. Let x(f) be the third derivative of 0 - 1/60*f**5 - 17*f**s + 0*f + 1/24*f**4 + 0*f**3. Factor x(i).
-i*(i - 1)
Let a be (64800/80325)/(4/14). Suppose 0 + 32/17*y - 64/17*y**2 + 2/17*y**5 - 16/17*y**4 + a*y**3 = 0. Calculate y.
0, 2
Let m be 4 - (6/36*(-2 - -14) - 4). Let g(z) be the second derivative of -3/16*z**4 - 23*z + 0*z**3 + 0*z**2 + 3/40*z**5 + 0 - 1/120*z**m. Factor g(t).
-t**2*(t - 3)**2/4
Let f(d) = -8 - 10 + 22 - 3. Let u(r) = 3*r**2 - 12*r + 10. Let z(x) = -f(x) + u(x). Factor z(s).
3*(s - 3)*(s - 1)
Suppose -3*n + q + 28 = -3, 0 = -5*n - 4*q + 29. Let l be n - (4 + 21/(-12)). Factor l*o**2 + 12 + 3/4*o**3 + 18*o.
3*(o + 1)*(o + 4)**2/4
Let k(g) = g**3 + 31*g**2 + 104*g + 63. Let p be k(-3). Find a such that 308/3*a - 20/3*a**p - 121 + 74/3*a**2 + 1/3*a**4 = 0.
-3, 1, 11
Let k(o) be the third derivative of o**5/60 - 5*o**4/8 + 13*o**3/3 - 905*o**2. Factor k(r).
(r - 13)*(r - 2)
Let r(f) be the first derivative of 5*f + 1/60*f**4 + 1/30*f**3 + 0*f**2 + 25. Let c(b) be the first derivative of r(b). Factor c(i).
i*(i + 1)/5
Let v(z) = -23*z**2 + 174*z + 35. Let w(c) = -68*c**2 + 99*c + 310*c + 105 + 115*c. Let l(g) = 7*v(g) - 2*w(g). Factor l(q).
-5*(q - 7)*(5*q + 1)
Let m(u) be the first derivative of u**4/24 - 229*u**3/36 + 235*u**2/4 - 54*u - 5832. Factor m(t).
(t - 108)*(t - 6)*(2*t - 1)/12
Let u be (0 - 66/(-30)) + 3/(-45)*3. Let f(c) be the first derivative of -2 + c**4 + 6/5*c**5 - u*c - 3*c**2 - 4/3*c**3 + 1/3*c**6. Let f(b) = 0. Calculate b.
-1, 1
Suppose 384 + 86*n**2 + 28906*n - 28442*n + 4*n**3 - 2*n**2 = 0. What is n?
-12, -8, -1
Suppose -478*f = -162*f - 632. Let v(y) be the first derivative of 2/15*y**3 - 12/5*y - 18 - y**f. Solve v(l) = 0.
-1, 6
Let c(o) be the second derivative of -o**7/84 + o**6/10 - o**5/8 - 262*o + 3. Factor c(s).
-s**3*(s - 5)*(s - 1)/2
Let g be (-6)/3*(105/70)/(6/(-58)). Let q(t) be the first derivative of 2/35*t**5 - 8/7*t + 5/14*t**4 - 5/7*t**2 + 2/7*t**3 - g. Solve q(j) = 0 for j.
-4, -1, 1
Let n(a) be the first derivative of -a**4/36 + 191*a - 168. Let t(o) be the first derivative of n(o). Factor t(z).
-z**2/3
Let n(a) be the third derivative of a**6/900 - 13*a**5/50 + 507*a**4/20 + 83*a**3/6 - a**2 + 10*a. Let o(b) be the first derivative of n(b). Factor o(f).
2*(f - 39)**2/5
Let b(w) be the third derivative of -w**6/12 + 46*w**5/15 - 241*w**4/12 + 154*w**3/3 - 4486*w**2. Factor b(o).
-2*(o - 2)*(o - 1)*(5*o - 77)
Let a(l) = -l**2 + 16*l + 8. Let y(g) = 6*g**2 - 80*g - 38. Let q(o) = -11*a(o) - 2*y(o). Let v be q(-15). Factor 1/4*n**v + 2*n + 1 + 5/4*n**2.
(n + 1)*(n + 2)**2/4
Let t(n) be the third derivative of n**7/105 - 5*n**6/6 + 332*n**5/15 - 64*n**4 - 1536*n**3 + 774*n**2. Factor t(y).
2*(y - 24)**2*(y - 4)*(y + 2)
Let c be 23/((-322)/(-1976)) - -5. Let b = -146 + c. Determine i so that 0*i**2 + b*i - 1/7*i**3 + 0 = 0.
-1, 0, 1
Let o be (-18)/(-192)*8 + (-44)/96. Let h(i) be the third derivative of 0 - i**2 - 7/60*i**5 - 1/3*i**3 - o*i**4 + 0*i - 1/60*i**6. Let h(y) = 0. What is y?
-2, -1, -1/2
Let u(z) = -10789*z + 86312. Let h be u(8). Find d such that 2/5*d**3 + h*d - 18/5*d**2 + 216/5 = 0.
-3, 6
Let g(y) be the second derivative of -67*y + 0 - 675/2*y**2 + 15/2*y**3 - 1/16*y**4. Factor g(u).
-3*(u - 30)**2/4
Find m such that 0 - 29/12*m**4 + 56/3*m**3 + 1/12*m**5 - 49/3*m**2 + 0*m = 0.
0, 1, 14
Let l(t) be the third derivative of t**5/270 - 155*t**4/108 - 314*t**3/27 - 13*t**2 - 7*t + 5. Solve l(m) = 0 for m.
-2, 157
Let m be (-4 - -3)/((-6 - -5)*1) - -1. Factor -2/13*y - 2/13*y**m + 0.
-2*y*(y + 1)/13
Let m(d) be the second derivative of d**4/24 + 3*d**3/2 + 17*d**2/4 + 92*d - 7. Let m(v) = 0. What is v?
-17, -1
Let y(g) be the second derivative of -25*g - 1/42*g**4 + 0*g**2 + 0 + 1/21*g**3. Factor y(m).
-2*m*(m - 1)/7
Suppose f - 2*f - 6313 = -5*c, 5*f + 15 = 0. Factor 16 + 11*q + c*q**4 - 8*q**2 - 4 - 16*q**3 - 1266*q**4 + 5*q.
-4*(q - 1)*(q + 1)**2*(q + 3)
Let x(l) be the first derivative of l**6/30 - 8*l**5/25 + 4*l**4/5 + 397. Factor x(c).
c**3*(c - 4)**2/5
Let d(i) be the second derivative of -162409*i**4 + 806*i**3 - 3*i**2/2 - 8*i + 1. Solve d(j) = 0.
1/806
Suppose 0 = 6*c - c - 15. Suppose 2*h + b = 111, -54 = 3*h + c*b - 225. Let -q**2 - 54 + h + 4*q**2 + 6*q = 0. What is q?
-2, 0
Let k(t) be the third derivative of -t**9/16632 - t**8/2310 - t**7/924 - t**6/990 - 17*t**3/3 + 4*t**2. Let z(v) be the first derivative of k(v). Factor z(a).
-2*a**2*(a + 1)**2*(a + 2)/11
Factor -1/4*x - 1/8*x**2 + 55.
-(x - 20)*(x + 22)/8
Let h = -70445 + 493119/7. Let 0 - h*g - 2/7*g**4 + 2/7*g**2 + 4/7*g**3 = 0. What is g?
-1, 0, 1, 2
Let w be (-356)/1064 + 2/4. Let m = w - -5/19. What is q in 0*q**3 + 0*q - m + 6/7*q**2 - 3/7*q**4 = 0?
-1, 1
Factor 45*f**3 - 17*f**3 + 38*f**2 - 61*f**2 + 2*f**4 - 25*f**2 - 2160*f - 3*f**4 - 3888.
-(f - 18)**2*(f + 2)*(f + 6)
Let y(a) = -11*a**2 - 21*a + 5. Let c be (156/(-24) + 7)*4/1. Let o(g) = 4*g**2 + 10*g - 2. Let q(v) = c*y(v) + 5*o(v). Determine u, given that q(u) = 0.
0, 4
Let f = 424 - 422. Suppose 139*a**3 + 84*a + 72 + 3*a**5 - 8*a**2 - 10*a**f - 172*a**3 = 0. What is a?
-2, -1, 2, 3
Let k = 116241 + -581199/5. Solve 0 + 1/5*t**5 + 0*t + 0*t**2 - k*t**3 - 1/5*t**4 = 0 for t.
-2, 0, 3
Suppose -2*i = 5*g - 19, 3*i = -5*g + 7*g. Suppose -96 - 142*c + 19*c**2 - 12*c**3 + 27*c**g - c**2 + 46*c - 3*c**4 = 0. What is c?
-2, -1, 4
Let l = 53/42 + 5/21. Let z = 151816 - 151812. Factor l*x**5 - 12*x**2 + 3*x**z + 0*x + 0 - 6*x**3.
3*x**2*(x - 2)*(x + 2)**2/2
Let i(b) be the third derivative of b**6/90 - 2*b**5/15 - 5*b**4/6 + 15*b**3/2 + 67*b**2. Let m(k) be the first derivative of i(k). Let m(d) = 0. Calculate d.
-1, 5
Suppose -4*x + 4*n + 16 = 0, 0 = 2*x - 3*n + 2*n - 9. Factor 156*w**4 - 4*w**x - 46*w**4 + 892*w**2 - 1940*w**3 + 25270*w + 13718 + 2*w**5 + 8608*w**2.
-2*(w - 19)**3*(w + 1)**2
Let u(z) = -z**2 + 5*z + 9. Let a(f) be the second derivative of 11*f + 1/12*f**4 + 0 - f**3 - 5*f**2. Let i(s) = -5*a(s) - 6*u(s). What is o in i(o) = 0?
-2, 2
Determine z, given that 2/5*z**2 + 547058/5 - 2092/5*z = 0.
523
Let q(j) be the second derivative of -3*j**5/20 - 13*j**4 + j**3/2 + 78*j**2 + 960*j. Find m such that q(m) = 0.
-52, -1, 1
Let i(m) = 114*m**2 + 202*m + 8. Let b(l) = 2*l**2 + l - 3. Let u(k) = -k**2 - k + 2. Let t(v) = 2*b(v) + 3*u(v). Let j(w) = i(w) - 10*t(w). Factor j(p).
4*(p + 2)*(26*p + 1)
Let g(s) be the second derivative of 3*s**7/7