 17/3*r + k.
-r*(r - 34)*(r + 1)**2/6
Let s(f) be the second derivative of -9/10*f**5 + 4/15*f**6 + 0*f**2 + f**4 - 6 + f - 1/3*f**3. Let s(v) = 0. Calculate v.
0, 1/4, 1
Let g = 31288 + -9386399/300. Let b(p) be the third derivative of -p**2 + g*p**6 + 0*p**5 - 1/60*p**4 + 0*p**3 + 0 + 0*p. Factor b(d).
2*d*(d - 1)*(d + 1)/5
Factor -4/11*z**3 + 8/11*z**4 + 18/11*z + 2/11*z**5 - 24/11*z**2 + 0.
2*z*(z - 1)**2*(z + 3)**2/11
Let r = 136995 - 1506944/11. Factor 14/11*v**3 + 125/11 + 50/11*v - r*v**4 - 60/11*v**2.
-(v - 5)**3*(v + 1)/11
Let n = 8 + -29. Let i(f) = f**3 + 21*f**2 - f - 18. Let t be i(n). Solve -10*g**2 + 4*g**5 + 10*g**4 - g**t - 4*g**3 + 3*g**5 - 2*g**5 = 0.
-2, -1, 0, 1
Solve -26/5*l**4 + 0 + 88/5*l**3 - 64/5*l**2 + 2/5*l**5 + 0*l = 0 for l.
0, 1, 4, 8
Let b(i) be the second derivative of 8*i**2 - 108*i + 0 + 10/3*i**3 - 1/2*i**4. What is c in b(c) = 0?
-2/3, 4
Let x(d) be the third derivative of -d**7/504 + d**6/12 - 11*d**5/24 - d**4/24 - 5*d**3/6 + 65*d**2. Let g(z) be the second derivative of x(z). Factor g(m).
-5*(m - 11)*(m - 1)
Let a = 272 - 192. Factor 42*x + 31*x + 4*x**2 + a*x - 37*x.
4*x*(x + 29)
Let r(k) be the first derivative of -1/6*k**3 + 0*k - 229 - 7/4*k**2. Find o, given that r(o) = 0.
-7, 0
Let y(l) be the second derivative of 56*l + 0 - 1/15*l**4 + 12/5*l**3 - 34/5*l**2. Solve y(s) = 0.
1, 17
Suppose -52 = v - 48. Let i(m) = 0 - 2*m + 4*m**2 - 2*m - 2. Let u(r) = -17*r**2 + 17*r + 7. Let g(k) = v*u(k) - 18*i(k). Suppose g(y) = 0. What is y?
-1, 2
Let o(f) be the third derivative of -2*f**7/105 - f**6/2 - 4*f**5/5 + 14*f**4/3 - 2850*f**2. Factor o(q).
-4*q*(q - 1)*(q + 2)*(q + 14)
Suppose 29*v - 14 = 27*v. Let c be (42 - 41) + v/9. Factor -c*a**3 - 2*a**2 - 2/9*a + 0.
-2*a*(a + 1)*(8*a + 1)/9
Suppose -w + 160 - 115 = 0. Let t be 12/16 + w/12 + -4. Factor 7/8*j**3 - t + 13/8*j - 1/8*j**4 - 15/8*j**2.
-(j - 4)*(j - 1)**3/8
Let p(m) = -107*m**3 - 56*m**2 + 40*m + 11. Let v(j) = 21*j**3 + 11*j**2 - 8*j - 2. Let x(a) = -6*p(a) - 33*v(a). Determine o so that x(o) = 0.
-1, 0, 8/17
Let i = 357161 + -24286253/68. Let p = i + -144/17. Determine d so that 9/4*d**2 - 5/4*d**3 - p*d + 1/4*d**4 + 1/2 = 0.
1, 2
Factor 3*n**5 - 80214*n**2 - 2396*n**3 + 58029*n + 146334 + 8558*n**3 - 264*n**4 + 1662*n**3.
3*(n - 29)**3*(n - 2)*(n + 1)
Let z = 8168731/4 + -2042064. Factor z*y - 7/4*y**3 + 1/4*y**4 - 45/4*y**2 - 250.
(y - 5)**3*(y + 8)/4
Let m(p) be the second derivative of 5*p**7/42 + 5*p**6/2 - 11*p**5/2 - 40*p**4 - 93*p - 1. Suppose m(i) = 0. Calculate i.
-16, -2, 0, 3
Let o(a) be the second derivative of 5*a**4/12 - 1975*a**3/6 - 990*a**2 + 147*a - 1. Determine r, given that o(r) = 0.
-1, 396
Let i = 471 - 458. Let v(d) = -d**2 + 19*d - 76. Let q be v(i). Suppose -12/11 + 6/11*s**5 + 6/11*s - 12/11*s**4 + 24/11*s**q - 12/11*s**3 = 0. Calculate s.
-1, 1, 2
Let w be 3806/265 + (-344)/(-9116). Let w - 3/5*y**2 - 3*y = 0. Calculate y.
-8, 3
Let h(l) be the first derivative of 144*l**5 - 51*l**4 - 868*l**3/3 + 288*l**2 - 80*l + 1870. Find s such that h(s) = 0.
-5/4, 1/5, 2/3
Let s(r) be the third derivative of -r**5/60 + 5*r**4/4 + 32*r**3/3 + 7*r**2 - 18*r. Factor s(v).
-(v - 32)*(v + 2)
Let q(k) = 11*k**2 + 30*k - 4. Let w be q(-3). Let u be 100/(-350)*w/(-2). Solve 1/7*p**2 - 4/7*p - u = 0.
-1, 5
Let w be 15/(-9)*(-6)/5. Solve -i**2 + 22 + 25 + 7*i**w - 15*i**3 + 39*i - 29 = 0 for i.
-1, -3/5, 2
Determine m so that -7457522/9 - 2/9*m**2 + 7724/9*m = 0.
1931
Let q = -5 - -5. Suppose q = 5*z + 6*z - 22. Factor 0 + 2/7*b**z + 4/7*b**3 + 0*b + 2/7*b**4.
2*b**2*(b + 1)**2/7
Let a(f) be the first derivative of f**5/100 - f**4/20 - 4*f**3/5 - 5*f**2 + 21. Let o(q) be the second derivative of a(q). Find d such that o(d) = 0.
-2, 4
Let p be (-36)/420*(-13)/(117/30). Determine l so that -2/7*l**5 - p*l + 4/7*l**2 - 2/7 - 2/7*l**4 + 4/7*l**3 = 0.
-1, 1
Suppose 688*l - 54 = 691*l - 4*g, -2*g + 42 = 6*l. Suppose 8/3*t - 2/3*t**3 - 5*t**l + 0 = 0. Calculate t.
-8, 0, 1/2
Solve 1267*z**3 - 192 - 1261*z**3 - 8*z**2 - 168*z - 128*z = 0 for z.
-6, -2/3, 8
Find h, given that 88*h**2 - 256/3*h + 184/3*h**3 + 0 - 2*h**4 = 0.
-2, 0, 2/3, 32
Let j(y) = -15*y**3 - 1579*y**2 + 1616*y + 33. Let u(v) = -55*v**3 - 5790*v**2 + 5925*v + 120. Let c(w) = -40*j(w) + 11*u(w). Let c(s) = 0. Calculate s.
-107, 0, 1
Let r(g) be the third derivative of -g**6/60 - 19*g**5/30 - 21*g**4/4 - 15*g**3 - 771*g**2. Suppose r(d) = 0. What is d?
-15, -3, -1
Let c(v) = v**3 + 5*v**2 - 5*v + 8. Let y be c(-6). Determine w, given that -161 + 8*w**2 - 60*w - 17*w**2 - 139 + 6*w**y = 0.
-10
Let n = 42658 - 42656. Factor 9/4 + 3*k + 3/4*k**n.
3*(k + 1)*(k + 3)/4
Solve 1296/7 - 33*x**3 - 4584/7*x + 12/7*x**4 - 2343/7*x**2 = 0.
-4, 1/4, 27
Let h(p) be the second derivative of 3/5*p**5 - 2*p**3 - 124*p - 1/10*p**6 - 15/2*p**2 + 3/2*p**4 + 0. Let h(y) = 0. Calculate y.
-1, 1, 5
Let s(r) = r - 1. Let i be s(3). Let z(w) = w**3 - 9*w**2 - 9*w + 10. Let h be z(10). Factor -122*c - 5*c**3 - h*c**i + 122*c.
-5*c**2*(c + 4)
Let g = 112433 + -112433. Factor 0*p + 0*p**2 + 0 - 5/6*p**4 + g*p**3 - 1/6*p**5.
-p**4*(p + 5)/6
Let i = 30494/45 + -6070/9. Let 2/5*a**2 - 12/5*a + i = 0. What is a?
2, 4
Let g be (52 - (-58050)/(-864))*(-8)/6. Suppose -3/4*k**2 - 45/4*k - g + 1/4*k**3 = 0. Calculate k.
-3, 9
Let o = 362 - 352. Let h(f) be the first derivative of -o - 8/3*f**3 + 2*f**2 + f**4 + 0*f. Suppose h(y) = 0. Calculate y.
0, 1
Let h be ((-188)/2585)/((-1)/10). Let w = 37 - 397/11. Determine n, given that 0 - 16/11*n**2 + w*n**3 - h*n = 0.
-2/5, 0, 2
Solve 75305361 - 236247418 - 1923*f**2 + 1232643*f - 102432664 + 4*f**3 - 3*f**3 = 0.
641
Find z such that 19/2*z + 1/6*z**2 + 55/3 = 0.
-55, -2
Let n(o) be the second derivative of 104*o + 2/45*o**3 + 1/90*o**4 + 0*o**2 + 0. Factor n(x).
2*x*(x + 2)/15
Let x be 86220/23220 + 16/(-344). Factor x*n - 121/6 - 1/6*n**2.
-(n - 11)**2/6
Let x(a) = 12*a**4 - 57*a**3 + 87*a**2 - 65*a + 15. Let t(w) = -w**5 + w**4 - 3*w**3 + w**2 - 6*w. Let p(r) = 5*t(r) - 5*x(r). Factor p(i).
-5*(i - 1)**4*(i + 15)
Let k(o) be the second derivative of o**4/24 + 17*o**3/3 - 213*o**2/4 - 2*o - 33. Solve k(r) = 0.
-71, 3
Let o = 206 - 145. Suppose -f**3 - 6*f**2 + 60*f - 129*f + o*f = 0. Calculate f.
-4, -2, 0
What is g in -106/3*g - 130*g**2 - 142/3*g**4 - 138*g**3 + 4 = 0?
-1, 6/71
Let h(f) = -10*f**2 - 3880*f + 7715. Let y(l) = -7*l**2 - 2771*l + 5510. Let v(j) = 12*h(j) - 17*y(j). Factor v(t).
-(t - 545)*(t - 2)
Let o(k) be the first derivative of -k**7/42 - 2*k**6/15 - 3*k**5/20 + k**4/3 + 2*k**3/3 + 72*k - 30. Let u(v) be the first derivative of o(v). Factor u(r).
-r*(r - 1)*(r + 1)*(r + 2)**2
Suppose -9*m + 128206 = 128017. Let u(w) be the second derivative of m*w - 1/6*w**4 + w**2 + 1/20*w**5 + 0 - 1/6*w**3. Solve u(l) = 0.
-1, 1, 2
Let o = -29451 - -29454. Factor -17/4*i + 5/2*i**2 - 7 - 1/4*i**o.
-(i - 7)*(i - 4)*(i + 1)/4
Let d = -54259 + 54262. Suppose -2/9*u**2 + 0 + 0*u - 2/9*u**d = 0. Calculate u.
-1, 0
Let a(b) be the first derivative of 0*b + 21/5*b**5 + 51/4*b**4 + 1/2*b**6 + 17*b**3 + 228 + 9*b**2. Factor a(j).
3*j*(j + 1)**2*(j + 2)*(j + 3)
Let y(c) = c**3 - 38*c**2 + 50*c - 478. Let u be y(37). Suppose -3 = -0*t - t. Find x such that -u*x**3 + 4*x**4 - 2*x**4 + t*x**5 - 5*x**4 + 3*x**2 = 0.
-1, 0, 1
Let a(t) = -2*t**3 - 2*t**2 + 1. Let h(y) = 22*y**3 - 2*y**2 - 52*y - 10. Let p(o) = 20*a(o) + 2*h(o). Let p(x) = 0. What is x?
-2, 0, 13
Let w(u) be the second derivative of -u**7/5040 + u**6/160 - u**4/12 + 29*u**3/6 + 2*u - 12. Let a(k) be the third derivative of w(k). Factor a(f).
-f*(f - 9)/2
Let n(o) be the second derivative of o**6/75 + 3*o**5/25 - 9*o**4/10 + 4*o**3/15 + 36*o**2/5 - 172*o - 5. Solve n(v) = 0 for v.
-9, -1, 2
Suppose 0 = -66*q + 67*q - 2. Suppose 711*h**q + h**3 + 10*h - 709*h**2 - 3*h**3 + 6 = 0. Calculate h.
-1, 3
Let c = 642/679 + -60/679. Suppose -7*x = 2*q - 3*x + 8, -q - x - 1 = 0. Factor 3/7*m**q - c*m + 3/7.
3*(m - 1)**2/7
Let a = -30 - -27. Let x(r) = -r**3 - 3*r**2 - 3*r + 3. Let y be x(a). Factor y*h - 5*h - 7*h + 8*h**2 - 28*h**3.
-4*h**2*(7*h - 2)
Find x such that -1/3*x**4 - 2*x**3 + 0 - 3*x**2 - 4/3*x = 0.
-4, -1, 0
Let g = 197/660 - 8/165. Let r(l) be the second derivative of 0 + 1/24*l**4 + 17*l + g*l**3 + 1/2*l**