such that -y*r**2 + 6/13 + 4/13*r = 0.
-1, 3
Let c = -375 - -530. Suppose 4*y + 39 = c. Solve 16*n**2 - 17*n**5 - y*n**5 - 14*n**5 + 124*n**4 - 80*n**3 = 0.
0, 2/5, 2/3, 1
Let x = -29 - -9. Let h be (1 - 56/x) + (-2)/10. Determine o, given that -h*o - 2/5*o**3 + 12/5*o**2 + 0 = 0.
0, 3
Suppose 0 = -17*c + 14*c + 204. Suppose 236*f - 219*f = c. What is w in 0*w + 33/4*w**f + 0 - 1/4*w**5 - 363/4*w**3 + 1331/4*w**2 = 0?
0, 11
Let f(a) be the second derivative of 3*a**5/20 - 135*a**4/2 - 543*a**3/2 - 408*a**2 - 1147*a. Factor f(q).
3*(q - 272)*(q + 1)**2
Let f(v) be the first derivative of 3*v**4/4 - 75*v**3 - 2475*v**2/2 - 6375*v + 186. Factor f(u).
3*(u - 85)*(u + 5)**2
Let v(q) be the third derivative of -q**6/60 - 2*q**5/5 - 9*q**4/4 + 4872*q**2. Let v(a) = 0. What is a?
-9, -3, 0
Let x(s) be the first derivative of -s**6/9 - 256*s**5/15 - 5545*s**4/6 - 18844*s**3 - 51156*s**2 - 49392*s + 857. Find z, given that x(z) = 0.
-42, -1
Let w(k) be the third derivative of k - 1/20*k**5 + 2/3*k**3 + 1/420*k**7 - 1/240*k**6 + 0 + 22*k**2 + 1/12*k**4. Factor w(j).
(j - 2)**2*(j + 1)*(j + 2)/2
Let r(d) be the third derivative of -d**7/105 + 1047*d**6/140 + 449*d**5/105 + 1291*d**2 - 2*d. Factor r(a).
-2*a**2*(a - 449)*(7*a + 2)/7
Let l be (-4 - 1)*(-48)/10*1. Suppose 0 = 9*t - 195 + l. Factor -15*p - 5*p**2 - t*p + 45*p - 6*p + 10.
-5*(p - 2)*(p + 1)
Let g(c) be the second derivative of -1 + 2*c**4 + 22/3*c**3 + 12*c + 12*c**2 + 1/5*c**5. Determine a, given that g(a) = 0.
-3, -2, -1
Let t be (-9 + (-540)/(-63))*-7. Let v be (t + (-133)/42)*(-63)/6. Let -1/4*o**2 + 2 - v*o = 0. Calculate o.
-8, 1
Let c be -2 + (-1000)/(-352) + 37/(-407). Factor -3/2*x + 0*x**2 + 3/2*x**3 - c*x**4 + 3/4.
-3*(x - 1)**3*(x + 1)/4
Let p(z) be the second derivative of 15*z**7/56 + 131*z**6/40 + 621*z**5/40 + 135*z**4/4 + 23*z**3 - 36*z**2 + 2939*z. Let p(b) = 0. What is b?
-3, -2, 4/15
Let b(k) be the third derivative of -k**6/40 - k**5/5 - 5*k**4/8 - k**3 + 4178*k**2. Factor b(w).
-3*(w + 1)**2*(w + 2)
Let l(p) = -p**2 - 17*p - 183. Let g be l(-34). Let x = -758 - g. Solve 4/3 + 2/3*s - 2/3*s**x - 4/3*s**2 = 0.
-2, -1, 1
Let q(b) be the third derivative of -b**7/735 + b**6/105 + b**5/70 - 3*b**4/14 - 24*b**2 + 15. Factor q(l).
-2*l*(l - 3)**2*(l + 2)/7
Factor 0 + 6*t + 7/2*t**2 + 1/4*t**3.
t*(t + 2)*(t + 12)/4
Let k(r) be the third derivative of r**7/175 - 331*r**6/100 + 36297*r**5/50 - 258741*r**4/4 - 2735262*r**3/5 - 123*r**2 + 5. Determine i so that k(i) = 0.
-2, 111
Let 271*l**2 + 658*l + 26*l**3 - 1911/2 + 1/2*l**4 = 0. What is l?
-39, -7, 1
Solve -9/4*v**4 + 775/4*v + 4649/4*v**2 + 0 + 6969/4*v**3 = 0 for v.
-1/3, 0, 775
Let n(j) be the second derivative of 0*j**3 - 5/12*j**4 + 0*j**2 + 7 + 1/24*j**6 - 5/168*j**7 + 1/4*j**5 + 13*j. Solve n(m) = 0.
-2, 0, 1, 2
Let i(z) be the second derivative of 0*z**2 + 1/48*z**4 + 0 + 6*z + 1/6*z**3. What is d in i(d) = 0?
-4, 0
Let t(j) = 10*j**3 + 72*j**2 - 67*j. Let c(d) = -74*d**3 - 506*d**2 + 470*d. Let i(k) = -6*c(k) - 44*t(k). Suppose i(r) = 0. Calculate r.
0, 1, 32
Let r be (-3)/(-8) + (-7946)/(-37264). Factor -6/17*x**2 - 18/17*x - r + 2/17*x**3.
2*(x - 5)*(x + 1)**2/17
Let p(q) be the second derivative of -q**7/14 + q**6/2 + 9*q**5/20 - 13*q**4/4 - 5*q**3 - 23*q + 1. Find u such that p(u) = 0.
-1, 0, 2, 5
Let z(r) be the second derivative of r**6/3060 - 2*r**5/255 + 9*r**3/2 - r**2 - 109*r. Let w(v) be the second derivative of z(v). Factor w(n).
2*n*(n - 8)/17
Let l = 115 - 111. Suppose -j - l*o = -6, 17*j - 13*j - 2*o - 6 = 0. Factor -j*h + 2/3*h**2 + 0.
2*h*(h - 3)/3
Let p(b) = -3*b**3 + 11*b**2 + 7. Let v(i) = -2*i**3 + 7*i**2 + 5. Let a = -149 + 154. Let r(u) = a*p(u) - 7*v(u). Factor r(z).
-z**2*(z - 6)
Factor -5/4*x**2 + 1/4*x**3 - 11/2*x - 4.
(x - 8)*(x + 1)*(x + 2)/4
Let z(x) be the third derivative of -x**7/140 - 521*x**6/20 - 814323*x**5/20 - 141420761*x**4/4 - 73680216481*x**3/4 + 18*x**2 - 4. Factor z(p).
-3*(p + 521)**4/2
Let c(x) be the third derivative of 6627*x**6/160 - 6533*x**5/80 - 281*x**4/96 - x**3/24 - 8*x**2 + 51. Factor c(w).
(w - 1)*(141*w + 1)**2/4
Suppose -134*p + 78*p**3 - 158/3*p**2 + 12 - 46/3*p**4 = 0. Calculate p.
-1, 2/23, 3
Suppose 337*m**3 - 672*m**3 - 15*m**5 + 336*m**3 + 14*m**5 + 6*m**4 - 6*m**2 = 0. Calculate m.
-1, 0, 1, 6
Let 3/5*d**4 - 60*d + 144/5 - 2/5*d**5 - 8/5*d**2 + 63/5*d**3 = 0. Calculate d.
-4, -3, 1/2, 2, 6
Let m(y) = y**3 + 10*y**2 - y - 7. Let j be m(-5). Factor 124*x**2 + 42*x - 6*x**3 + 128*x**2 + 15 + j*x**2 - 476*x**2 + 122*x**2.
-3*(x - 5)*(x + 1)*(2*x + 1)
Let h(f) be the third derivative of -11*f**5/48 + 12145*f**4/96 + 1105*f**3/12 + 3*f**2 + 2449. Find a such that h(a) = 0.
-2/11, 221
Let n(z) be the third derivative of -z**8/84 - 172*z**7/105 - 176*z**6/3 + 3872*z**5/15 + 5*z**2 + 2. Suppose n(h) = 0. What is h?
-44, 0, 2
Let b = -254 - -9. Let d be (3/14)/((-210)/b). Factor 1/4*c**2 + d*c + 0.
c*(c + 1)/4
Find i such that 75/2*i**3 - 475/2*i**2 - 490*i - 240 + 55/2*i**4 + 5/2*i**5 = 0.
-8, -4, -1, 3
Let f(n) = 434*n - 36. Let c be f(9). Determine o so that -2*o - 3842*o**2 - 2*o + c*o**2 - 69*o**3 + 70*o**4 - 25*o**5 = 0.
0, 2/5, 1
Suppose -5*o - 22 = -3*y - 32, -5*y = 2*o - 35. Let q(g) be the third derivative of 1/21*g**4 + 0*g + 0 - 2*g**2 - 1/210*g**y - 4/21*g**3. Factor q(i).
-2*(i - 2)**2/7
Let l = -770/9 - -3125/36. Let t(n) be the first derivative of -14 + 5/3*n**3 - 5*n - 5/2*n**2 + l*n**4. Factor t(a).
5*(a - 1)*(a + 1)**2
What is g in 1/2*g**5 + 24*g + 0 - 41/4*g**4 - 25*g**2 - 41*g**3 = 0?
-2, 0, 1/2, 24
Let b(p) = 4*p**3 - 96*p**2 + 540*p - 466. Let n(j) = -4*j**3 + 96*j**2 - 540*j + 463. Let s(u) = -5*b(u) - 6*n(u). Factor s(c).
4*(c - 16)*(c - 7)*(c - 1)
Let s(h) be the third derivative of h**7/105 + h**6/30 - h**5/10 - h**4/3 + 4*h**3/3 - 1685*h**2. Factor s(j).
2*(j - 1)**2*(j + 2)**2
Let g = 717 + -383. Let j = g + -4340/13. Let 2/13*u**5 + 0*u + 0 + 4/13*u**4 - j*u**3 - 4/13*u**2 = 0. What is u?
-2, -1, 0, 1
Let v(m) be the second derivative of -2/105*m**6 + 0*m**4 + 1/70*m**5 + 0*m**2 - 2*m + 0*m**3 + 25. Factor v(i).
-2*i**3*(2*i - 1)/7
Let f = 1 + 4. Suppose 3*u = f*u - 5*q + 16, 4*u + 2*q = 16. What is w in -1/3*w + 0 + 1/6*w**u = 0?
0, 2
Let w be ((0/(-4))/(14/7))/(-1). Factor 440*f - 339 + 53 + f**3 - 198 + w*f**3 + 43*f**2.
(f - 1)*(f + 22)**2
Let z = -409 - -559. Let h be 580/z + 2/15. Determine w so that -2/9*w**h - 14/9*w**3 - 40/9*w - 16/9 - 4*w**2 = 0.
-2, -1
Let p(a) be the second derivative of -a**5/150 + 19*a**4/30 - 6*a**3/5 - 112*a**2/15 + 7473*a. Factor p(m).
-2*(m - 56)*(m - 2)*(m + 1)/15
Factor -3184*a**3 + a**5 - 3220*a**3 - 806*a**2 - 845*a + 22*a**4 + 6464*a**3.
a*(a - 5)*(a + 1)*(a + 13)**2
Let h(l) = 3*l**2 + 8*l + 57. Let m(o) = -o**2 + o - 23. Let p(i) = 3*h(i) + 12*m(i). Determine t, given that p(t) = 0.
5, 7
Let o be 70/50*(265/(-105) - -3). Determine u, given that 2/3*u**2 - o*u**3 + 0*u + 0 = 0.
0, 1
Let b(k) be the third derivative of 0*k - 1/4*k**4 - 1/900*k**6 - 6/5*k**3 + 0 - 298*k**2 - 2/75*k**5. What is g in b(g) = 0?
-6, -3
Let h = 1108771 + -14414021/13. Find x such that -216/13*x**2 + 12/13*x**4 - 54/13*x**3 + 648/13*x + 0 + h*x**5 = 0.
-6, 0, 3
Let w(r) be the second derivative of r**7/1680 + r**6/120 - 7*r**5/240 - 209*r**3/6 - 61*r. Let m(n) be the second derivative of w(n). Factor m(g).
g*(g - 1)*(g + 7)/2
Let w(l) be the third derivative of -2*l**7/945 - l**6/135 + 4*l**5/135 + 4*l**4/27 - 1236*l**2. Factor w(z).
-4*z*(z - 2)*(z + 2)**2/9
Let p = 17706 + -17701. Let k(w) be the third derivative of -4/45*w**p - 13*w**2 + 0*w + 1/18*w**4 + 0 - 1/90*w**6 + 8/9*w**3. Factor k(y).
-4*(y - 1)*(y + 1)*(y + 4)/3
Let x = 221 + -287. Let s be -4 + (2 - x/24). Factor s*b + 3/4*b**2 - 3/4*b**4 - 3/4*b**3 + 0.
-3*b*(b - 1)*(b + 1)**2/4
Let q(t) = t**3 - t. Let z(w) = 9*w + 37. Let o be z(-4). Let b(y) = -475*y**4 + 105*y**3 + 20*y**2 + 35*y. Let d(c) = o*b(c) + 35*q(c). Solve d(r) = 0.
-2/19, 0, 2/5
Factor -4*b**4 + 248*b**2 + 0*b**3 + 30*b**3 + 2016 + 1224*b + 46*b**3 - 3000*b.
-4*(b - 21)*(b - 2)**2*(b + 6)
Let n(t) be the first derivative of 5*t**4/4 - 325*t**3/3 + 750*t**2 - 1298. Factor n(s).
5*s*(s - 60)*(s - 5)
Let z(p) be the second derivative of -1/36*p**4 + 0 + 8/9*p**3 - 38*p - 32/3*p**2. Let z