8*f**4. Factor i(d).
3*d*(d - 7)*(d - 2)/2
Let z(c) be the third derivative of c**5/45 + 77*c**4/3 + 922*c**3/9 - 3297*c**2. Factor z(w).
4*(w + 1)*(w + 461)/3
Let t(c) = 3*c**2 + 3*c. Let w(y) be the second derivative of 13/6*y**3 + 13/12*y**4 - 9*y + 0 + 0*y**2. Let j(m) = 18*t(m) - 4*w(m). Factor j(s).
2*s*(s + 1)
Let t(c) be the third derivative of -c**6/780 + 29*c**5/390 + 31*c**4/78 + 384*c**2. Let t(u) = 0. Calculate u.
-2, 0, 31
Let a(w) be the first derivative of 2/5*w**2 + 0*w - 46 - 8/15*w**3 + 1/5*w**4. Factor a(f).
4*f*(f - 1)**2/5
Let r = -380 - -388. Suppose -g + r = g. Find k, given that 14/11*k**2 + 2/11*k**3 + 2/11 + 8/11*k**5 - 16/11*k**g - 10/11*k = 0.
-1, 1/2, 1
Find x, given that -24/7*x + 0 + 74/7*x**3 + 2*x**4 - 64/7*x**2 = 0.
-6, -2/7, 0, 1
Let n(c) be the first derivative of -9*c**4/4 - 29*c**3 - 57*c**2 + 48*c + 1493. Find t, given that n(t) = 0.
-8, -2, 1/3
Determine g so that 24662*g**3 - 259*g**2 - 12330*g**3 + 501*g**2 - 780 - 12337*g**3 + 5*g + 538*g**2 = 0.
-1, 1, 156
Let t(k) be the third derivative of -k**6/420 - 13*k**5/70 - 311*k**4/84 + 117*k**3/7 + 19*k**2 + 85*k + 1. Factor t(d).
-2*(d - 1)*(d + 13)*(d + 27)/7
Suppose 4*u = 32, -162*z + 165*z + 4*u = 32. Suppose -5*o + 9 + 6 = 0. Factor 2/3*h**o - 4/3*h + z + 2/3*h**2.
2*h*(h - 1)*(h + 2)/3
Let h(m) = m**2 + 5. Let q(f) = 4*f**2 + 88*f - 62. Let a(n) = 5*h(n) - q(n). Factor a(u).
(u - 87)*(u - 1)
Let j(r) = -r**4 - r**3 - r + 1. Let i(x) = -6*x**4 - 8*x**3 - x**2 - 2*x + 7. Suppose -3*z = -11 + 14. Let d(n) = z*i(n) + 5*j(n). Suppose d(a) = 0. What is a?
-2, -1, 1
Let h = -322 + 958/3. Let k = h - -25/6. Let -z**3 - 1/2*z**5 + 3/2*z - z**2 + k*z**4 - 1/2 = 0. Calculate z.
-1, 1
Let d = -605 - -607. Find l such that -147*l**2 - 138*l**2 + 40*l**d - 6480 + 2520*l = 0.
36/7
Let y(d) be the third derivative of d**8/336 + d**7/105 - 3*d**6/20 - 17*d**5/15 - 79*d**4/24 - 5*d**3 - 44*d**2 - 3. Let y(r) = 0. What is r?
-3, -2, -1, 5
Factor 22299*u**4 - 23629*u**4 - 245*u**5 + 14*u**2 + 820*u**3 - 134*u**2.
-5*u**2*(u + 6)*(7*u - 2)**2
Let t = -4961 + 59539/12. Let a(z) be the first derivative of -1/4*z**4 + 0*z + t*z**3 + 16 - 3/8*z**2. Factor a(s).
-s*(s - 1)*(4*s - 3)/4
Let q be (10 - -43) + (-12)/3. Find u such that -q*u**3 - 5*u**4 + 6*u**4 + 58*u**3 - 9*u**2 - u**5 = 0.
-3, 0, 1, 3
Let a(i) be the second derivative of -i**7/630 - 13*i**6/180 - 2*i**5/5 - 31*i**4/12 - i + 4. Let y(g) be the third derivative of a(g). Factor y(r).
-4*(r + 1)*(r + 12)
Let o(h) be the first derivative of 2/27*h**3 + 16/9*h + 2/3*h**2 + 54. Factor o(w).
2*(w + 2)*(w + 4)/9
Factor 0*u**3 + 0 - 15/4*u**2 - 5/2*u + 5/4*u**4.
5*u*(u - 2)*(u + 1)**2/4
Factor -3*b**3 + 3*b - 3832*b**4 - 29*b + 29*b**3 + 24*b**2 + 3833*b**4 - 25.
(b - 1)*(b + 1)**2*(b + 25)
Let n be (-93)/((-15066)/(-432))*(1 - (-37)/(-13)). What is v in n*v + 2/13*v**4 + 0*v**2 - 12/13*v**3 + 0 = 0?
-2, 0, 4
Let n(v) be the first derivative of 4*v**3/3 - 80*v**2 - 164*v - 1192. Suppose n(d) = 0. Calculate d.
-1, 41
Solve -1/4*c**4 - 126 + 61*c + 65/2*c**2 - 61/4*c**3 = 0 for c.
-63, -2, 2
Let n = 141/262 - -4555/786. Let 0 - 5/3*c - n*c**3 - c**4 - 7*c**2 = 0. Calculate c.
-5, -1, -1/3, 0
Find n such that 7*n**4 + 352*n - 80*n**3 + 87*n**4 - 54*n**3 + 543 - 278*n**2 - 183 - 2*n**5 - 40*n**3 = 0.
-1, 2, 45
Let q(j) be the first derivative of -34/9*j**3 - 14/3*j**2 + 11 - 1/6*j**4 + 64/3*j. Solve q(p) = 0.
-16, -2, 1
Let w(k) be the third derivative of k**8/28 + 26*k**7/105 + 4*k**6/9 + 4*k**5/15 - 4175*k**2. Factor w(f).
4*f**2*(f + 3)*(3*f + 2)**2/3
Let -3/2*s**2 + 9/4*s + 0 + 1/4*s**3 = 0. What is s?
0, 3
Suppose 7*p + 2*j = 2*p + 19, 4*p - 6 = 3*j. Let -60*u**2 - u**3 - u**4 + 34*u - p*u**4 + 7*u**3 + 30*u**3 - 6*u = 0. Calculate u.
0, 1, 7
Let j be 240/90*(14/(-8) - -1) + 2. Let c(g) be the third derivative of j*g + 1/12*g**4 - 1/150*g**5 - 11*g**2 + 0 - 4/15*g**3. What is f in c(f) = 0?
1, 4
Suppose -2*w + 765*x = 761*x + 16, -5*x = -w - 26. Let k be (6/(-5))/((-2)/5). Factor 2/11*g**w + 0*g + 0*g**k - 2/11*g**2 + 0.
2*g**2*(g - 1)*(g + 1)/11
Let a(l) be the third derivative of -l**6/120 + 13*l**5/20 - 153*l**4/8 + 1445*l**3/6 - 1239*l**2. Suppose a(u) = 0. What is u?
5, 17
Factor 164*b + 1065*b + 141*b - 10*b**3 + 11*b**3 - 4115*b**2 + 14*b**3.
5*b*(b - 274)*(3*b - 1)
Let s be (9 - 1)*(-2)/((-12)/27). Suppose -6*r + 0*r = -s. Factor r*b**4 + b**3 - 2*b**3 - 2*b**5 + 4*b**2 - 5*b**3 - 2*b**2.
-2*b**2*(b - 1)**3
What is b in -5*b**2 - 1905851 + 365184 + 5256*b + 3*b**2 - 1158839 - 753686 = 0?
1314
Let z(b) be the second derivative of b**5/15 - 14*b**4/9 + 58*b**3/9 + 88*b**2/3 + 668*b + 1. Factor z(y).
4*(y - 11)*(y - 4)*(y + 1)/3
Let n(t) be the third derivative of -t**5/20 - 115*t**4/8 - 57*t**3 + 240*t**2 - 2*t. Factor n(m).
-3*(m + 1)*(m + 114)
Factor -5776/3 + 304/3*q - 4/3*q**2.
-4*(q - 38)**2/3
Let t(p) be the third derivative of -p**6/100 - 79*p**5/150 + 71*p**4/30 + 56*p**3/15 + p**2 + 358. Determine v, given that t(v) = 0.
-28, -1/3, 2
Let x(k) be the third derivative of -1/60*k**6 - 5/2*k**4 + 0 + 5*k**2 + 11/30*k**5 + 0*k**3 + 17*k. Factor x(f).
-2*f*(f - 6)*(f - 5)
Let n = 155 + -151. Factor 4*o**n - 138*o**2 - 90*o**3 - 27 - 12*o**4 - 15*o**4 - 4*o**4 - 99*o - 3*o**5.
-3*(o + 1)**3*(o + 3)**2
What is b in 678*b**5 - 299*b**5 - 343*b**5 - 377*b**4 - 243*b**4 + 639*b**3 + 73*b**3 - 128*b**2 = 0?
0, 2/9, 1, 16
Let x(k) = 42*k**3 + 27*k**2 - 194*k - 30. Let d(c) = 7*c**3 + 4*c**2 - 32*c - 4. Let j(a) = -13*d(a) + 2*x(a). What is q in j(q) = 0?
-2, 2/7, 2
Let s be (-3591)/(-108) + -29 - 3. Determine k, given that -5/2*k**3 + 0 + 5/2*k - s*k**2 + 5/4*k**4 = 0.
-1, 0, 1, 2
Let o(d) = -20*d**3 - 193*d**2 + 1153*d + 1339. Let a(b) = -85*b**3 - 820*b**2 + 4900*b + 5690. Let s(c) = 13*a(c) - 55*o(c). Solve s(v) = 0.
-13, -1, 5
Factor 15*a**2 - 11*a**3 - a**3 - a**2 + 10*a**3 + 88 + 80*a.
-2*(a - 11)*(a + 2)**2
Let x(t) = t**3 + t**2 + 2*t + 2. Let q(y) = 2*y**3 + 4*y**2 + 302*y + 1380. Let m(r) = -q(r) + 4*x(r). Solve m(j) = 0 for j.
-7, 14
Suppose -7*v + 2*v = -10. Suppose 8 = v*f + g, -4*g - g = -f - 18. Factor -2*q**2 + 0*q**f + 1 - 11*q**4 + 12*q**4.
(q - 1)**2*(q + 1)**2
Factor -138*w**2 - 216*w - 2*w**3 - w**3 + 125 + 49 + 46 - 31*w**2.
-(w + 2)*(w + 55)*(3*w - 2)
Let i(r) be the first derivative of r**3/12 + 361*r**2/4 - 723*r/4 + 1336. Factor i(u).
(u - 1)*(u + 723)/4
Factor 1260*m - 85/4*m**3 + 0 - 30*m**2 + 5/4*m**4.
5*m*(m - 12)**2*(m + 7)/4
Suppose -17*h = -14*h - 12. Let g be 11/(103 - 4) - (-179)/9. Determine d so that -3*d**4 + g*d + 24 - 20*d**3 - 28*d**2 + 2*d**4 - 2*d**4 + 7*d**h = 0.
-1, 1, 6
Let q(z) be the first derivative of -z**6/10 - 9*z**5/10 + 7*z**4/4 - 90*z - 178. Let b(n) be the first derivative of q(n). Determine v, given that b(v) = 0.
-7, 0, 1
Let m be (-2514)/(-12)*48/(-56). Let p = 180 + m. Factor -p*u**2 + 0 - 3/7*u**3 + 0*u.
-3*u**2*(u + 1)/7
Let k(p) be the first derivative of 63*p**4/2 + 551*p**3/6 + 23*p**2 - 2*p + 1231. Let k(w) = 0. Calculate w.
-2, -2/9, 1/28
Let r be -7*(810/(-42) + 5). Determine g so that -4*g**5 + 152*g**2 - r*g**3 + 67*g**3 + 12*g**4 + 108*g + 121*g**3 + 28 = 0.
-1, 7
Find b such that -81*b - 33*b**3 - 7*b + 0*b**3 + 37*b**3 + 36*b**2 = 0.
-11, 0, 2
Suppose -78*a + 656 - 188 = 0. Let u(k) be the third derivative of k**3 + 1/30*k**5 + 0 + k**2 - 5/12*k**4 + 0*k + 1/60*k**a. Factor u(l).
2*(l - 1)**2*(l + 3)
Let l(p) = -500*p**2 - 4288*p + 12836. Let t(w) = -156*w**2 - 1430*w + 4279. Let v(s) = -5*l(s) + 16*t(s). Let v(u) = 0. Calculate u.
3, 357
Let c(g) be the third derivative of -25*g**5/12 + 425*g**4/3 - 11560*g**3/3 - 11*g**2 - 50*g. Factor c(f).
-5*(5*f - 68)**2
Let z be 249 - (168/(-30) - (-10)/(-25)). Let n be ((z/(-40))/(-17))/(3/2). Find p, given that 0 + 9/4*p + n*p**2 = 0.
-9, 0
Let d be 14/6 - (-10)/(-30). Let i = 145 + -142. Suppose -32/9 - 86/9*s**i - 112/9*s - 146/9*s**d - 22/9*s**4 - 2/9*s**5 = 0. What is s?
-4, -1
Let y(n) be the third derivative of -n**8/4032 + n**7/252 + 5*n**6/144 + 3*n**5/10 + 173*n**2. Let a(m) be the third derivative of y(m). Factor a(i).
-5*(i - 5)*(i + 1)
Let h(m) = 2*m**2 - 1. Let w(a) = -3*a**2 + 17*a - 16. Suppose 4*k - 13 - 12 = -5*l, 21 = 3*k + 3*l. Let u(x) = k*h(x) + 5*w(x). Factor u(g).
5*(g - 1)*(