*r**3 - 7*r**3 + 33*r**3 + 75*r**2 - 8*r**3 - 11*r + 83*r.
3*r*(r + 1)*(r + 24)
Let y(t) be the first derivative of -t**5/20 + t**4/2 - 3*t**3/2 + 15*t**2/2 + 31. Let u(q) be the second derivative of y(q). Factor u(m).
-3*(m - 3)*(m - 1)
Let d(y) be the second derivative of 2/15*y**6 - 3/2*y**4 + 16*y - 7/20*y**5 + 0 + 4*y**2 + 14/3*y**3. Solve d(p) = 0 for p.
-2, -1/4, 2
Let c(a) be the first derivative of a**6/30 + 2*a**2 + 9. Let z(o) be the second derivative of c(o). Factor z(d).
4*d**3
Let l(n) = -n**3 + 157*n**2 + 332*n + 162. Let k(y) = 12*y**3 - 1728*y**2 - 3652*y - 1784. Let o(x) = 3*k(x) + 32*l(x). Suppose o(m) = 0. Calculate m.
-1, 42
Let n(l) be the first derivative of l**6/30 + 4*l**5/15 + 2*l**4/3 - 10*l**2 + 4. Let z(j) be the second derivative of n(j). Suppose z(o) = 0. Calculate o.
-2, 0
Suppose -i - i - 6 = -5*t, 0 = 3*i - 3*t. Suppose -12 = f - 5*f, 0 = 4*l + f - 15. Factor 13*w**2 - 18*w**2 + 8*w**i + 6*w - l*w**3.
-3*w*(w - 2)*(w + 1)
Let k(r) be the first derivative of -5*r**4/4 - 62*r**3/3 + 41*r**2/2 + 26*r + 124. Let k(f) = 0. Calculate f.
-13, -2/5, 1
Let n be 1 - -3 - (-154)/(-44). Factor 3/4*c + 1/4*c**2 + n.
(c + 1)*(c + 2)/4
Let z(q) be the third derivative of -q**6/2160 - q**5/240 + q**4/36 + 13*q**3/2 - 25*q**2. Let f(c) be the first derivative of z(c). Solve f(m) = 0 for m.
-4, 1
Let l(c) be the third derivative of -c**6/24 - 7*c**5/6 - 245*c**4/24 - 19*c**2 - 2. Suppose l(v) = 0. What is v?
-7, 0
Let v(x) be the second derivative of x**6/300 + x**5/150 - 7*x**2 + 5*x. Let a(l) be the first derivative of v(l). What is i in a(i) = 0?
-1, 0
Let y = -5229 + 5241. Factor -4/3*c**3 - 20/3*c**2 + y - 4*c.
-4*(c - 1)*(c + 3)**2/3
Let k be (-48)/40 - (-64)/20. Factor -6/7 - 4/7*o**3 - k*o**2 - 16/7*o.
-2*(o + 1)**2*(2*o + 3)/7
Suppose 0 = -6*k - 214 + 70. Let f be ((-13)/39)/(26/k). Factor 2/13*m**2 + f*m + 2/13.
2*(m + 1)**2/13
Let y(j) be the first derivative of 19 - 4/3*j - 16/9*j**3 - 1/9*j**6 + 1/3*j**4 + 4/15*j**5 + 7/3*j**2. Factor y(q).
-2*(q - 1)**4*(q + 2)/3
Factor a**4 + 135*a - 15*a**2 - 228*a - 5*a**3 + 4*a**4 + 118*a - 10.
5*(a - 1)**3*(a + 2)
Let y(f) be the second derivative of 1/210*f**7 + 22*f + 2/25*f**5 + 0 + 0*f**3 - 1/30*f**6 + 0*f**2 - 1/15*f**4. Factor y(w).
w**2*(w - 2)**2*(w - 1)/5
Let h be 4/18*333/6. Let p = -233 - -236. Factor 0 + h*v**p - 20/3*v**2 - 10*v**4 + 3*v**5 + 4/3*v.
v*(v - 1)**2*(3*v - 2)**2/3
Suppose -g + 15 = 4*f, -2*f + 5*g - 21 = -4*f. Let s(b) be the first derivative of -4/5*b**5 - 4 + b**2 - 3/2*b**4 + 0*b**f + 0*b. Factor s(z).
-2*z*(z + 1)**2*(2*z - 1)
Let j = -3183/35 + 645/7. Let 9/5*d - 3/5*d**3 + j*d**2 + 0 = 0. What is d?
-1, 0, 3
Let x(r) be the second derivative of -3/40*r**5 + 0 + 0*r**2 + 1/12*r**6 - 13/24*r**4 - 58*r + 5/6*r**3 + 1/84*r**7. Factor x(k).
k*(k - 1)**2*(k + 2)*(k + 5)/2
Let m(a) = -a + 1. Let t be m(2). Let x(g) = -3*g**4 + 6*g**3 + 10*g**2 - 13*g - 11. Let f(z) = z**2 - z + 1. Let i(q) = t*f(q) + x(q). What is n in i(n) = 0?
-1, 2
Let c = -5/2056 + 2071/6168. Factor x + x**2 + c + 1/3*x**3.
(x + 1)**3/3
Let v(w) = -3*w**3 - 19*w**2 + 15*w + 229. Let b(x) = 3*x**3 + 18*x**2 - 15*x - 231. Let q(i) = 2*b(i) + 3*v(i). Factor q(g).
-3*(g - 3)*(g + 5)**2
Let z(r) = 3*r**3 - 10*r**2 + 2*r - 3. Let p(u) = 6*u**3 - 21*u**2 + 4*u - 7. Let v(a) = -3*p(a) + 7*z(a). Factor v(w).
w*(w - 2)*(3*w - 1)
Suppose 3*z + 8 = 3*m + 2*z, -z + 4 = 3*m. Let b be -6*(1 + 12/(-8)). Determine i, given that -4 + 2*i**b + 6*i**m + 3*i - 2 - 5*i**3 = 0.
-1, 1, 2
Let s(t) be the second derivative of t**6/120 + 7*t**5/40 + t**4/2 - 631*t. Factor s(l).
l**2*(l + 2)*(l + 12)/4
Let n(l) be the second derivative of 48*l + 1/6*l**4 + 3*l**2 - 4/3*l**3 + 0. Find q, given that n(q) = 0.
1, 3
Solve 10 + 3/2*j - 1/4*j**2 = 0 for j.
-4, 10
Let j be 2*12/32*((-28)/(-6) - 4). Factor j*k**2 + 0 - 1/2*k.
k*(k - 1)/2
Let f = 3041 + -3039. Factor -4/19*n**f + 0*n + 6/19*n**3 - 2/19*n**4 + 0.
-2*n**2*(n - 2)*(n - 1)/19
What is v in -1/4*v**2 + 0 - 35/2*v = 0?
-70, 0
Suppose -5*k - 3*n = 7, 4*k + 15 + 1 = -5*n. Let j be (42/(-14))/(k/((-4)/42)). Determine y, given that 2/7*y + 2/7 - 2/7*y**3 - j*y**2 = 0.
-1, 1
Suppose 3*t - 2*t = 4. Suppose 5*s + 6 + t = 0, 2*s = -2*x. Suppose 2/11*q**4 + 0*q - 2/11*q**x + 0*q**3 + 0 = 0. What is q?
-1, 0, 1
Let r(a) be the first derivative of a**4/30 + 2*a**3/15 - 8*a/15 + 119. What is u in r(u) = 0?
-2, 1
Find z, given that 327/8*z - 165/4 + 3/8*z**2 = 0.
-110, 1
Let p(d) = -5*d**3 + 55*d**2 + 65*d - 5. Let o(q) = 8*q**3 - 83*q**2 - 98*q + 7. Let t(b) = 5*o(b) + 7*p(b). Factor t(h).
5*h*(h - 7)*(h + 1)
Let v = -185 - -193. Let u be (4 - 28/v) + 6/4. Let -1/9*i**3 + 2/9*i**u + 1/9*i - 2/9 = 0. Calculate i.
-1, 1, 2
Let v = 6206 - 6204. Suppose 1/3*w**4 + 2/3*w**v + 0*w - w**3 + 0 = 0. Calculate w.
0, 1, 2
Let m(d) = -d**3 - 2*d**2 - 7*d + 6. Let t = 33 - 39. Let h(s) = s**3 + 2*s**2 + 8*s - 7. Let y(i) = t*h(i) - 7*m(i). Solve y(z) = 0 for z.
-1, 0
Let p be ((-2)/(-4))/(-4 - (-17)/4). Let z = -9 + 46/5. Determine v, given that -1/5 + 0*v + z*v**p = 0.
-1, 1
What is n in -20*n**3 - n**4 - 10*n + 0*n**4 - 114*n**2 + 6*n**4 + 139*n**2 = 0?
0, 1, 2
Let i = 366 - 364. Let 0 + 0*v + 6*v**i + 21/2*v**3 - 3/2*v**5 + 3*v**4 = 0. Calculate v.
-1, 0, 4
Let x = 2545 - 5089/2. Solve -1/4 - 1/4*c**4 + x*c**2 + 0*c**3 + 0*c = 0.
-1, 1
Let c(w) be the first derivative of -w**3 + 7/1080*w**6 + 1/72*w**4 + 1/45*w**5 + 0*w**2 + 0*w - 3. Let b(v) be the third derivative of c(v). Factor b(t).
(t + 1)*(7*t + 1)/3
Let d(t) = 2*t**3 + 2*t**2 - 2*t. Let m be (-1 - 1/(-2))*-2. Let g be d(m). Factor 9 - 3*r - r + 1 - g - 4*r**2.
-4*(r - 1)*(r + 2)
Let s = 24 - 17. Let g be -2*(-3)/6*s. Factor 3*b**4 + 12*b**3 + b**2 + 0*b**3 - g*b**3 - b.
b*(b + 1)**2*(3*b - 1)
Let s(c) be the first derivative of -c**6/18 + c**5/5 + c**4/6 - 2*c**3/3 - c**2/6 + c + 36. Determine a, given that s(a) = 0.
-1, 1, 3
Suppose -106 - 100 - 98 + 9*p**2 - 6*p**3 + 301 = 0. Calculate p.
-1/2, 1
Let g(h) be the third derivative of 5*h**8/728 - 4*h**7/1365 + 160*h**2. Let g(s) = 0. What is s?
0, 4/15
Factor 128/3 - 4/3*x**2 - 124/3*x.
-4*(x - 1)*(x + 32)/3
Suppose 3*n + 5*d = -n + 30, 2*n - 10 = -5*d. Factor n*w**3 + w + 11*w**3 + 5*w**4 - w**3 + 9*w + 25*w**2.
5*w*(w + 1)**2*(w + 2)
Factor 6/5*p**3 - 33/5*p**2 + 3/5*p**4 + 108/5 - 36/5*p.
3*(p - 2)**2*(p + 3)**2/5
What is b in 1109*b**3 - 60 - 225*b + 80*b**2 - 1114*b**3 - 750 = 0?
-2, 9
Suppose 24*m**3 + 84*m + 47*m - 95*m + 2*m**4 + 58*m**2 = 0. What is m?
-9, -2, -1, 0
What is y in 5*y**3 - 327*y - 515*y + 331*y - 4050 + 16*y + 40*y**2 = 0?
-9, 10
Let w be (-1 + 1)*1/4. Suppose -20 + w = -4*v. Factor -24*b**3 + 8 - b - 44*b**2 + 18*b - v*b.
-4*(b + 2)*(2*b - 1)*(3*b + 1)
Let d(p) = -32*p - 35. Let m be d(-6). Let q = m + -155. Find v, given that -6*v**3 + 48/7*v**q + 0 - 14*v**4 - 8/7*v = 0.
-1, 0, 2/7
Solve 3/5*f**2 + 2523/5 + 174/5*f = 0 for f.
-29
Let c be 0*(-1)/(-14)*7. Let p(n) be the second derivative of 1/5*n**2 - 1/30*n**3 + 6*n + c - 1/60*n**4. Factor p(z).
-(z - 1)*(z + 2)/5
Suppose 3*c - 30 = -2*c - 5*p, 3*c = 3*p. Find m such that 18*m**3 + 5*m**4 + 22*m**c + 66 + 122*m**2 - 32*m**2 - 201 = 0.
-3, 1
Suppose -5*y = -5*f + 40, 37 - 7 = -4*y + 3*f. Let p be (-3)/y + 6/4. Let -5*q**4 - 6*q**3 - 2 - 3*q**4 + 3*q**4 + 10*q**p - 3*q**4 + 6*q = 0. What is q?
-1, 1/4, 1
Suppose 3*v + 0*f = f + 260, 0 = -2*v + 5*f + 182. Factor 20 - 52 + 31*u + v*u**3 - 367*u - 1458*u**3 - 1176*u**2.
-4*(7*u + 2)**3
Factor 0 + 0*v + 26/7*v**3 - 4*v**2 + 2/7*v**4.
2*v**2*(v - 1)*(v + 14)/7
Let -2*j**3 - 13*j**2 + 34*j - 13*j**2 - 48 - 96*j + 63 + 75 = 0. Calculate j.
-9, -5, 1
Let j(b) be the first derivative of 12*b**5/5 + 622*b**4 + 128128*b**3/3 - 43264*b**2 + 366. Factor j(u).
4*u*(u + 104)**2*(3*u - 2)
Let b(a) be the third derivative of 2*a**7/105 - 8*a**6/15 - 6*a**5/5 + 8*a**4/3 + 34*a**3/3 - 2*a**2 + 27*a. Factor b(o).
4*(o - 17)*(o - 1)*(o + 1)**2
Suppose 4*f - 5*n = 21, 4*f - 11*n = -14*n + 13. Let q(m) be the second derivative of 7*m - 1/48*m**f + 0*m**2 + 0 - 1/24*m**3. Suppose q(p) = 0. Calculate p.
-1, 0
What is f in 6/17*f**3 + 0 + 8/17*f**2 - 2/17*f**4 + 0*f = 0?
-1, 0, 4
Let s(q) be the second derivative of 19*q + 0 - 1/6*q**2 + 1/8*q**4 + 7/36*q**3. Suppos