3 + 36*d - 28*d**2 + 64.
4*(d - 4)**2*(d + 1)
Let l = -32 - -44. Suppose 15*z = l*z + 12. Find t such that -2*t**2 + t**z + 2*t**2 - t**2 + 0*t**2 = 0.
-1, 0, 1
Let p(b) be the third derivative of b**6/60 + 27*b**5/10 - 28*b**4 + 340*b**3/3 - 2182*b**2 + 3. Let p(u) = 0. What is u?
-85, 2
Suppose 29*a + 4 - 40 = 11*a. Let o(k) be the second derivative of 0*k**a + 0 + 1/60*k**5 - 2/9*k**3 - 3*k + 1/12*k**4. Solve o(u) = 0.
-4, 0, 1
Suppose 0 = 71*l - 220 + 135 - 341. Factor -36/5 - 6/5*o**2 - l*o.
-6*(o + 2)*(o + 3)/5
Factor -300*y - 2013*y**2 - 1287*y**3 - 1643*y**2 - 75*y**5 + 2276*y**2 + 29*y**4 + 661*y**4.
-3*y*(y - 5)**2*(5*y + 2)**2
Factor 2668/11*h - 2/11*h**2 - 889778/11.
-2*(h - 667)**2/11
Let w = -396 - -399. Let 177*h - 2*h**3 - 4*h**3 + 2*h**2 - 165*h - 14*h**2 + 3*h**w + 3*h**4 = 0. What is h?
-2, 0, 1, 2
Let c = -1086 + 2175/2. Let v = 65 - 65. Suppose -c*i + v - 3/2*i**2 = 0. What is i?
-1, 0
Let s be (-10)/6*(-52)/10. Let q(w) = -450*w**2 + 4444*w + 562. Let l be q(10). Let s*j + 4/3 + 22/3*j**l = 0. Calculate j.
-1, -2/11
Let y be (-30)/(-45) + ((-40)/(-6))/2. Suppose 57*k - 59*k + y = 0. Factor -8 + k*j**3 - 34 + 10 - 24*j.
2*(j - 4)*(j + 2)**2
Let w(n) be the third derivative of -35/18*n**5 - 4/3*n**3 - 49/180*n**6 - 2*n**2 + 0 - 34*n - 22/9*n**4. Factor w(q).
-2*(q + 3)*(7*q + 2)**2/3
Let u(z) be the first derivative of z**3/12 - 253*z**2/8 - 255*z/2 + 4760. Solve u(q) = 0.
-2, 255
Let l(k) = -30*k**2 - 112*k + 202. Let q(x) = 4*x**2 + 18*x - 25. Let j(w) = w + 2. Let g(c) = -2*j(c) + q(c). Let i(m) = 44*g(m) + 6*l(m). Factor i(r).
-4*(r - 4)**2
What is s in -12*s**2 + 278/3*s - 2/3*s**3 - 80 = 0?
-24, 1, 5
Let l be 90/(-240) + (26195/312)/31. Find a, given that -l*a + 1/3*a**2 + 0 = 0.
0, 7
Let n(g) be the first derivative of -10/3*g**4 + 0*g**2 - 8/3*g**3 + 46/15*g**5 + 67 + 0*g - 5/9*g**6. Let n(o) = 0. What is o?
-2/5, 0, 2, 3
Determine m so that 0 - 4/5*m + 2782/5*m**2 = 0.
0, 2/1391
Factor 3*l - 9/2 - 1/2*l**2.
-(l - 3)**2/2
Let o(h) = -4671*h - 14011. Let i be o(-3). Suppose -3/4*y**5 + 36*y**i + 0 + 0*y + 6*y**3 - 15/4*y**4 = 0. What is y?
-4, 0, 3
Let b be (-1028)/(-10) - (-1)/5. Suppose -b*m + 101*m = -26. Determine j, given that -m - 232*j + 630*j**2 + 116 - 268*j - 135*j**3 - 135*j**4 + 17 = 0.
-3, 2/3
Let q(j) be the second derivative of 33*j + 0*j**2 + 1/105*j**6 + 0 + 0*j**3 - 3/7*j**4 - 1/10*j**5. Factor q(w).
2*w**2*(w - 9)*(w + 2)/7
Factor 4/9 + h + 1/9*h**3 + 2/3*h**2.
(h + 1)**2*(h + 4)/9
Suppose 0 = m + 38 - 33, -q = -3*m + 279. Let s be (161/q)/23*-4. Factor -s*f**2 - 8/21*f + 0.
-2*f*(f + 4)/21
Let z(i) be the second derivative of -i**7/126 + 11*i**6/30 - 89*i**5/30 - 257*i**4/6 - 2413*i**3/18 - 361*i**2/2 + 28*i - 9. Determine u so that z(u) = 0.
-3, -1, 19
Let l be 23 + (-2)/(2/5). Let o be -3*(-1 - (-14)/l). Factor 8/3*b**3 + 8/3*b + o*b**4 + 2/3 + 4*b**2.
2*(b + 1)**4/3
Let k(y) be the first derivative of 3*y**4/28 + 121*y**3/7 + 1413*y**2/14 + 1053*y/7 + 3262. Determine n, given that k(n) = 0.
-117, -3, -1
Let w(z) = 11*z**3 - 316*z**2 - 649*z + 18. Let s(d) = 5*d**3 - 158*d**2 - 324*d + 8. Let o(h) = -18*s(h) + 8*w(h). Find c, given that o(c) = 0.
-2, 0, 160
Factor -93*h**3 + 23/2*h**4 - 1/2*h**5 + 351*h**2 - 1269/2*h + 891/2.
-(h - 11)*(h - 3)**4/2
Suppose -63/4*y - 9/2 - 5/2*y**2 = 0. Calculate y.
-6, -3/10
Let k = 66 + -67. Let l(i) = -6*i - 2. Let y be l(k). Factor -29 - 7 - 26*b - 6*b + 8 - y*b**2.
-4*(b + 1)*(b + 7)
Let a = 269/8940 + -2/149. Let d(x) be the second derivative of 0*x**2 + 0*x**4 + 0*x**3 + 0 - 5*x + a*x**6 + 1/40*x**5. Factor d(k).
k**3*(k + 1)/2
Determine q, given that 845*q**3 - 686*q + 7*q**5 + 1323*q**2 - 514*q**3 + 171*q**4 + 3*q**5 + 579*q**3 = 0.
-7, -7/2, 0, 2/5
Let f be 1 + (-5)/(4 + -9). Suppose -60 + 7*h**2 + 3*h + 18*h**f + 7*h**2 + 5*h = 0. What is h?
-3/2, 5/4
Let s(f) = 8*f**2 + 4580*f + 668157. Let y(o) = 4*o**2 + 2288*o + 334078. Let u(b) = -6*s(b) + 11*y(b). Factor u(t).
-4*(t + 289)**2
Suppose -v + 10 = -5*v - 2*w, 4*w + 20 = 4*v. Suppose 6 = 2*m - v. Solve -5*j**5 - 158 + 28*j**3 + 4*j**2 - m*j**5 + 150 - 20*j + 4*j**4 = 0 for j.
-1, -1/2, 1, 2
Let j = -5413 - -5416. Let b(o) be the first derivative of 6*o + 1/2*o**2 - 2*o**j - 1/4*o**4 - 31. Find n, given that b(n) = 0.
-6, -1, 1
What is u in 77*u**3 + 72*u**3 - 276*u + 33*u**4 - 72 + 76*u**3 + 53*u**2 - 12*u**5 + 49*u**2 = 0?
-2, -1/4, 1, 6
Let y(f) = 37*f**2 + f - 14*f**2 - 24*f**2 + 3*f - 2. Let u(i) = i - 1. Suppose -2 = -5*m + x + 11, 6 = 3*x. Let w(o) = m*y(o) - 6*u(o). Factor w(d).
-3*d*(d - 2)
Let q(b) = b**2 + 10*b + 27. Let m be q(-4). Suppose -2*c - s = -8, m*s + s = 2*c + 2. Let 3/2*o**2 + 3/2*o - c = 0. Calculate o.
-2, 1
Let f(v) be the second derivative of -v**4/6 - 365*v**3/3 + 11*v - 3. Factor f(t).
-2*t*(t + 365)
Let s(c) be the third derivative of -7/600*c**5 - 9/40*c**4 - 27*c**2 + 0 + 4/15*c**3 + 0*c. Factor s(r).
-(r + 8)*(7*r - 2)/10
Suppose -8/3 - 652*y - 79707/2*y**2 = 0. What is y?
-4/489
Let j(q) = -7*q + 77. Let d be j(12). Let k be ((2240/(-6))/d)/((-136)/(-24)). Factor -2/17*f**3 - k*f + 2*f**2 + 128/17.
-2*(f - 8)**2*(f - 1)/17
Let g = 1/14237 - -185061/284740. Let w(y) be the first derivative of g*y**2 - 2/5*y - 18 - 1/50*y**5 + 7/40*y**4 - 1/2*y**3. Let w(b) = 0. What is b?
1, 4
Let g(s) be the second derivative of -s**5/70 - 5*s**4/6 - 22*s**3/7 - 118*s + 4. Let g(c) = 0. What is c?
-33, -2, 0
Let n(v) be the first derivative of 3*v**4/8 + 25*v**3/2 + 24*v**2 - 206*v - 261. Let s(l) be the first derivative of n(l). What is b in s(b) = 0?
-16, -2/3
Let c = -2820 + 19748/7. Let 0*u + 44/7*u**3 - c*u**2 + 0 = 0. Calculate u.
0, 2/11
Let z(f) be the second derivative of f**5/110 + 5*f**4/33 + f**3/11 - 126*f**2/11 + 1420*f. Factor z(t).
2*(t - 3)*(t + 6)*(t + 7)/11
Factor -399/4*y**2 + 39/4*y**3 + 0 + 361/4*y - 1/4*y**4.
-y*(y - 19)**2*(y - 1)/4
Let c(i) be the first derivative of i**5/15 - 3*i**4/2 - 20*i**3/3 - 9*i**2/2 - i + 66. Let x(o) be the second derivative of c(o). Factor x(b).
4*(b - 10)*(b + 1)
Let r = -1288 + 1290. Let t(s) be the first derivative of 24*s + 14*s**r + 4/5*s**5 - 21 - 3*s**4 - 4*s**3. Factor t(g).
4*(g - 3)*(g - 2)*(g + 1)**2
Let y(n) be the third derivative of -n**9/60480 - n**8/13440 + 11*n**4/24 - 30*n**2. Let r(d) be the second derivative of y(d). Factor r(q).
-q**3*(q + 2)/4
Find s, given that 4/7*s**2 - 156/7*s - 688/7 = 0.
-4, 43
Let n(p) be the first derivative of -5*p**4/16 + 65*p**3/12 - 35*p**2/8 - 825*p/4 - 850. Factor n(k).
-5*(k - 11)*(k - 5)*(k + 3)/4
Suppose -16*g - 97 = -497. Let s(m) = m**2 - 39*m + 358. Let u be s(g). Solve -u*c - 40 - 2/5*c**2 = 0 for c.
-10
Let i(q) be the second derivative of -q**4/3 - 196*q**3/3 + 606*q**2 - 11*q - 154. Suppose i(j) = 0. What is j?
-101, 3
Let c(t) be the third derivative of t**5/72 + 125*t**4/144 + 35*t**3/3 - 20*t**2 - 6*t. Factor c(o).
5*(o + 4)*(o + 21)/6
Let l(p) be the second derivative of p**6/90 - 93*p**5/20 + 19037*p**4/36 + 19693*p**3/6 + 6627*p**2 + 535*p. Determine u so that l(u) = 0.
-2, -1, 141
Let l be (-144)/(-300)*(564/72 + -7). Factor 2 - 12/5*i + l*i**2.
2*(i - 5)*(i - 1)/5
Find u, given that 1/5*u**3 + 149/5*u**2 + 5624/5*u + 5476/5 = 0.
-74, -1
Let h = 7/5825 - 9500631/46600. Let j = h + 204. Factor -3/8*u + 0 - j*u**2.
-u*(u + 3)/8
Let m = -7/72 - -131/360. Let j(a) be the first derivative of -m*a**3 - 2/5*a**2 + 24/5*a - 33. Factor j(c).
-4*(c - 2)*(c + 3)/5
Let i = -845/17 - -9465/187. Factor 2/11*s**2 + 8/11*s - i.
2*(s - 1)*(s + 5)/11
Let r(t) be the second derivative of -80053*t**5/100 + 3043*t**4/10 - 162*t**3/5 - 4*t**2/5 + 3374*t - 2. Factor r(k).
-(17*k - 2)**2*(277*k + 2)/5
Let u(o) be the first derivative of -72*o**5/25 + 93*o**4/4 - 354*o**3/5 + 486*o**2/5 - 264*o/5 - 1862. Let u(b) = 0. Calculate b.
11/24, 2
What is y in -81*y - 169 - 1665 - 2774 - 357*y + 4*y**3 - 1578*y - 148*y**2 = 0?
-8, -3, 48
Let 105/4*m**2 + 1/4*m**4 + 49/4*m - 343/2 + 19/4*m**3 = 0. What is m?
-7, 2
Let t(x) = -x**3 - 189*x**2 + 385*x + 573. Let b(q) = -q**2 + 2*q + 3. Let s(d) = 57*b(d) - 3*t(d). Factor s(g).
3*(g - 3)*(g + 1)*(g + 172)
Let g(p) be the third derivative of 15*p + 0 - 1/200*p**6 - 1/100*p**5 + 1/40*p**4 + p**2 + 0*p**3 + 1/350*p**7. Factor g(n).
3*n*(n - 1)**2*(n