) = 0. Calculate m.
-1, 0, 4, 19
Suppose 238*c = -143 + 1095. Let z(n) be the first derivative of -7*n**3 - 17/4*n**c - n**5 - 11/2*n**2 - 2*n - 37. Factor z(o).
-(o + 1)**3*(5*o + 2)
Let u(a) = -7*a**4 + 8*a**3 + 12*a**2 - 8*a + 1. Let p(o) = 6*o**4 - 9*o**3 - 8*o**2 + 9*o - 3. Let d(g) = -6*p(g) - 5*u(g). Solve d(h) = 0 for h.
-1, 1, 13
Let v(n) be the third derivative of -n**5/30 + 17*n**4/6 - 56*n**3 - 2*n**2 - 392*n. Factor v(h).
-2*(h - 28)*(h - 6)
Suppose 75 = -d - 7*v, 2611*v - 63 = -4*d + 2616*v. Determine o so that -4/19*o**d - 12/19*o**4 + 16/19 + 2/19*o**5 + 22/19*o**3 - 24/19*o = 0.
-1, 1, 2
Let c(w) be the second derivative of 0 + 1/8*w**3 - 44*w - 1/48*w**4 - 1/4*w**2. Solve c(h) = 0.
1, 2
Let i(l) be the third derivative of 1/10*l**6 + 1/168*l**8 + 0 - 4/105*l**7 - 2/15*l**5 + 0*l**3 + 0*l + 28*l**2 + 1/12*l**4. Factor i(u).
2*u*(u - 1)**4
Let d = -28832 + 28837. Let f(t) be the second derivative of -5/6*t**3 + 0 + 0*t**2 + 1/4*t**d + 0*t**4 - 5*t. Solve f(h) = 0.
-1, 0, 1
Let o = -108 - -101. Let g = -5 - o. Factor 3*v**g - 5*v**3 + 12*v**2 - 34*v - 36*v + 60*v.
-5*v*(v - 2)*(v - 1)
Let h(t) = 16*t**3 - 12*t - 4. Let s(r) = 2*r**3 + 699 - r**4 - 700 - 14*r**2 - r + 15*r**2. Let p(z) = h(z) - 4*s(z). Factor p(n).
4*n*(n - 1)*(n + 1)*(n + 2)
Suppose -471*r - 208 = -487*r. Suppose -w + 5*v = 15, 0 = -r*w + 18*w - 5*v - 5. Find u such that 19/3*u**3 - 23/3*u**4 + 2/3*u - 7*u**w + 23/3*u**2 + 0 = 0.
-1, -2/21, 0, 1
Determine v so that 2/15*v**2 + 304/3 - 764/15*v = 0.
2, 380
Let w be ((-5785)/(-2225))/((-26)/(-20)). Solve -3/4*d**w + 4*d**3 + 7/4*d**4 - 1 - 4*d = 0.
-2, -1, -2/7, 1
Let r(y) be the second derivative of y**5/10 - 7*y**4/3 + 17*y**3 - 54*y**2 - 114*y + 3. Factor r(l).
2*(l - 9)*(l - 3)*(l - 2)
Let s(x) = 2*x**3 - 19*x**2 + 7*x + 21. Let y be s(9). Suppose 9*w**y - 328 + 164 - 13*w**2 - 9*w + 11*w**4 + 166 = 0. What is w?
-1, 2/11, 1
Determine u so that -1123/3*u - 1120/3*u**2 + 1/3*u**3 + 2242/3 = 0.
-2, 1, 1121
Let l(s) be the third derivative of -5/8*s**4 + 0*s**3 + 2 + 1/20*s**6 + 39/40*s**5 + 10*s**2 + 0*s. Find b such that l(b) = 0.
-10, 0, 1/4
Let f(w) = -w**3 + 9*w**2 - 11*w - 18. Let a be f(7). Determine l, given that -433*l**a - 9 + 3*l + 4*l**2 - 9 + 432*l**3 = 0.
-2, 3
What is o in -52/5*o + 0 + 2/5*o**2 = 0?
0, 26
Let 0 - 1/3*i**4 - i**2 - 2*i**3 + 10/3*i = 0. Calculate i.
-5, -2, 0, 1
Let i(c) = -c**2 - 22*c - 3. Let l be i(-22). Let d be (l - -1 - -5) + -1. Determine j so that 7*j**d - 2*j + 7*j**2 - 18*j**2 + 5*j**2 = 0.
0, 2
Factor 15 + 9*w**4 - 297*w - 1083*w**3 - 15 - 2193*w**2 - 804*w.
3*w*(w + 1)**2*(3*w - 367)
Suppose -3*p + 188 = 2*q + 159, -4*p + q + 2 = 0. What is a in 26/9*a**p - 10/3*a**5 + 4/9*a + 22/9*a**4 - 22/9*a**2 + 0 = 0?
-1, 0, 1/3, 2/5, 1
Let s be (85/850*96/18)/(2/10). Factor -s*f**2 + 232/3*f - 1682/3.
-2*(2*f - 29)**2/3
Suppose -5*o = -0*o - 9*o. Let a(f) be the second derivative of -6*f + 0*f**2 - 1/66*f**4 + 1/33*f**3 + o. Solve a(s) = 0.
0, 1
Suppose -73*l + 11*l = -124. Let b(t) = t**3 - t**2 + 2. Let o be b(0). Factor 10*u**o - 5*u**l - 8 + 8.
5*u**2
Let h be ((-1)/4 + 1)/(6/24). Factor 45*b**h + 0*b**4 + 8*b**2 + 4*b**4 - 57*b**3 + 0*b**4.
4*b**2*(b - 2)*(b - 1)
Let d(a) be the first derivative of -2*a**5/45 - a**4/18 + 14*a**3/9 + a**2 - 24*a - 322. Let d(m) = 0. Calculate m.
-4, -3, 3
Let j = 2670/7 - 2668/7. Let b be 6/(-7) - 4/(-4). Factor b*i**4 + 0 + 0*i + j*i**3 + 1/7*i**2.
i**2*(i + 1)**2/7
Let j(f) be the first derivative of f**4/2 + 44*f**3 + 1452*f**2 + 21296*f + 543. Factor j(t).
2*(t + 22)**3
Let o(d) be the first derivative of -14 - 5/3*d**3 - 1/216*d**6 + 0*d + 0*d**4 - 1/24*d**5 + 0*d**2. Let a(j) be the third derivative of o(j). Factor a(p).
-5*p*(p + 3)/3
Let n be (-4)/10*10/(-14). Let w be (-1704)/2272*(3 + (-284)/84). Factor -2/7*i**2 + n + 2/7*i**3 - w*i.
2*(i - 1)**2*(i + 1)/7
Suppose 36*i + 5*i = 0. Suppose 7*m - 93 + 51 = i. Solve -m + 21/5*k - 3/5*k**2 = 0 for k.
2, 5
Let j be 0 - (-29)/(319/6) - (119/(-154))/(-17). Factor -17*l + j*l**2 + 33/2.
(l - 33)*(l - 1)/2
Let b be -54*(-29)/(-348)*(-11)/((-3267)/(-12)). Suppose 2/11*w + 8/11*w**4 + 12/11*w**3 + 8/11*w**2 + 0 + b*w**5 = 0. What is w?
-1, 0
Suppose -7*t = 186 + 1571. Let u = t + 251. Solve 0 + 2/3*q**4 + 0*q**2 - 2/3*q**3 + u*q = 0 for q.
0, 1
Let o = -3/2422 + 607/1211. Let c(j) be the third derivative of -1/20*j**5 + 0 + 0*j - 23*j**2 + o*j**4 - 3/2*j**3. Factor c(l).
-3*(l - 3)*(l - 1)
Suppose -365*a**3 - 8125/2*a - 1/2*a**5 - 1900*a**2 - 2500 - 28*a**4 = 0. Calculate a.
-40, -5, -1
Suppose -373*n = 365*n - 761*n + 69. Suppose -135/4*d - 45/4*d**2 - 5/4*d**n - 135/4 = 0. What is d?
-3
Let g(r) be the second derivative of -r**4/66 + 155*r**3/11 - 8403*r. Factor g(l).
-2*l*(l - 465)/11
Let g be (-60)/8*(-5)/(60/8). Suppose 3*y - 4*t - 3 = -1, -3*y + 1 = -g*t. Solve 0 + 0*j**y + 1/2*j - 1/8*j**3 = 0 for j.
-2, 0, 2
Suppose 5*y + 64 = -4*d, 2*y + 1 = 2*d - 21. Let o = -9 - y. Factor -6*k + 53 + 3*k**o - 3*k**2 - 53.
3*k*(k - 2)*(k + 1)
Let q(i) be the third derivative of 3/10*i**5 + 3/4*i**3 + 48*i**2 + 1/140*i**7 + 0*i + 0 - 5/8*i**4 - 3/40*i**6. Factor q(z).
3*(z - 3)*(z - 1)**3/2
What is q in -2/9*q**3 + 34/9*q**2 + 32 - 176/9*q = 0?
4, 9
Let q(x) be the third derivative of x**5/140 + 459*x**4/56 + 457*x**3/7 + x**2 - 240. Factor q(b).
3*(b + 2)*(b + 457)/7
Let w(b) be the second derivative of -b**7/42 + 2*b**6/15 - b**5/10 - b**4/3 + b**3/2 - 2*b - 113. Let w(k) = 0. What is k?
-1, 0, 1, 3
Factor 2/13*u - 18/13*u**2 - 2/13*u**3 + 18/13.
-2*(u - 1)*(u + 1)*(u + 9)/13
Suppose c - 3*c + 4 = 0. Let z be 3/(39/14)*11453/2643. Find q, given that -2/3*q**c - z*q + 0 = 0.
-7, 0
Suppose -3*p = 3*p + p. Let z be (0 + p - 1)/((-45)/315). Suppose 2*x**3 - 11*x**3 + 6 + 10*x + 0*x + z*x**3 + 2*x**2 = 0. Calculate x.
-1, 3
Let x(q) be the first derivative of -q**5/50 - 4*q**4/5 - 61*q**3/5 - 88*q**2 - 605*q/2 + 73. Solve x(z) = 0 for z.
-11, -5
Let g(x) be the second derivative of -25/24*x**4 + 35/12*x**3 + 2 - 5/2*x**2 + 67*x. Factor g(s).
-5*(s - 1)*(5*s - 2)/2
Suppose -r - u - 2 = 0, -5*r + 6*u - 3*u = -22. Let a = 24 - 21. Determine j so that -4/7 + 8/7*j**r + 4/7*j**a - 2/7*j**5 - 2/7*j - 4/7*j**4 = 0.
-2, -1, 1
Suppose 0 = -588*s - 287*s + 3500. Suppose 2/3*d**2 + 0*d**3 + 0 - 2/3*d**s - 1/3*d**5 + 1/3*d = 0. What is d?
-1, 0, 1
Suppose 56*b + 2*n = 59*b - 22, -5*b - 3*n = -62. Solve 70*f + 10*f**4 + b*f**2 - 70*f + 10*f**4 + 25*f**3 + 5*f**5 = 0 for f.
-2, -1, 0
Let r = 3155 + -3152. Let l(i) be the first derivative of 5/12*i**r - 25/8*i**2 + 15/2*i + 13. Solve l(t) = 0 for t.
2, 3
Let q(g) = 25*g**4 + 9*g**3 - 49*g**2 - 201*g - 144. Let l(i) = -18*i**4 - 10*i**3 + 50*i**2 + 202*i + 144. Let p(m) = -3*l(m) - 2*q(m). Solve p(h) = 0.
-3, -1, 4
Let j(u) be the third derivative of -u**5/180 + 1505*u**4/36 - 2265025*u**3/18 + 1102*u**2 + 2. Factor j(w).
-(w - 1505)**2/3
Let c(u) = -u - 8*u - 2*u**2 + 3*u - u + 12. Let i = -74 - -82. Let w(d) = -5*d**2 - 22*d + 35. Let m(x) = i*c(x) - 3*w(x). Factor m(v).
-(v - 9)*(v - 1)
Let p(j) be the first derivative of j**6/180 - 11*j**5/30 + 121*j**4/18 + 101*j - 13. Let z(a) be the first derivative of p(a). Factor z(x).
x**2*(x - 22)**2/6
Let f = -1/20195 - -513533/60585. Let v = f + -57/7. Factor 0 + 8*x**2 + 16/3*x + 3*x**3 + v*x**4.
x*(x + 1)*(x + 4)**2/3
Let q(u) be the third derivative of -u**6/660 + 27*u**5/110 - 2*u**2 + 3*u + 954. Factor q(k).
-2*k**2*(k - 81)/11
Let g be 175/(-875)*(-10)/24. Let l(m) be the second derivative of 1/80*m**5 + 0 + 0*m**2 + g*m**3 + 10*m - 1/16*m**4. Suppose l(a) = 0. What is a?
0, 1, 2
Let x(c) be the second derivative of c**7/105 + 19*c**6/75 + 27*c**5/10 + 147*c**4/10 + 216*c**3/5 + 324*c**2/5 + 423*c. Find l, given that x(l) = 0.
-6, -3, -1
Let k = -218 + 220. Solve 30*s**2 - 2*s - k*s**4 + 3*s**5 + s**4 - 3*s**3 - 5*s**3 + 3 - 15*s - 10*s**3 = 0 for s.
-3, 1/3, 1
Let g(b) = 2*b**3 - 938*b**2 + 17200*b + 60516. Let p(j) = 3*j**3 - 1251*j**2 + 22934*j + 80688. Let u(c) = 13*g(c) - 10*p(c). Factor u(k).
-4*(k - 41)**2*(k + 3)
Let x(a) = -a**3 + 89*a**2 + 478*a + 385. Let s(g) = -g**3 + 90*g**2 + 479*g + 386. Let b(q) = -3*s(q) + 2*x(q). Factor b(c).
(c - 97)*(c + 1)*(c + 4)
Factor -8*a + 54*a**2 - 3*a**3 - 18*a**2 - 18