j(b) = g*z(b) - 4*v(b). Factor j(i).
-3*i*(i - 1)*(9*i + 4)
Let p(v) be the first derivative of v**3/3 + 49*v**2/2 + 444*v + 339. Let p(q) = 0. Calculate q.
-37, -12
Suppose -5*j - 1330 = 5*a, 9*a - 8*a - 3*j = -274. Let f = a - -270. What is i in 6/7 - 2/7*i**f + 4/7*i = 0?
-1, 3
Let n(k) be the second derivative of -k**7/14 + 2*k**6/5 - 7*k**4/2 + 17*k**3/2 - 9*k**2 + 1347*k. Factor n(z).
-3*(z - 3)*(z - 1)**3*(z + 2)
Let 190 + 123/7*t - 1/7*t**2 = 0. What is t?
-10, 133
Suppose 4*t - 33988 = -5*x, 20397 = 26*x - 23*x + t. Let 964*y**3 - 44*y**4 - 4000 + 51*y**4 - 119*y**4 - 1720*y**2 + 4*y**5 - x*y = 0. What is y?
-1, 10
Let k(a) be the first derivative of -8/15*a**4 - 137 + 34/15*a - 137/15*a**2 + 112/9*a**3. Find u, given that k(u) = 0.
1/4, 17
Let i(p) be the first derivative of -5*p**4/4 - 70*p**3 - 390*p**2 - 760*p + 1076. Factor i(b).
-5*(b + 2)**2*(b + 38)
Let m(i) be the third derivative of 0*i**3 + 0 - 54*i**2 - 2/75*i**5 + 0*i - 1/300*i**6 - 1/15*i**4. Factor m(h).
-2*h*(h + 2)**2/5
Let u be -46 - 105/(16275/(-7316)). Suppose 3*y - 2*y = 2*k - 9, -y - 5 = 0. Factor -1 + u*r**k - 1/5*r**4 - 4/5*r**3 + 4/5*r.
-(r - 1)**2*(r + 1)*(r + 5)/5
Let h(y) be the second derivative of -y**4/8 - 5*y**3/2 + 513*y**2/4 + 6*y + 303. Suppose h(s) = 0. What is s?
-19, 9
What is x in -32/7 + 30/7*x**4 + 9*x - 64/7*x**3 + 2/7*x**2 + 1/7*x**5 = 0?
-32, -1, 1
Let l(i) be the second derivative of 3 + 0*i**2 - 20/3*i**4 - 160/3*i**3 - 1/4*i**5 - 4*i. Factor l(j).
-5*j*(j + 8)**2
Let c(h) be the third derivative of 0*h**3 + 27*h**2 - 1/945*h**7 + 2/135*h**6 + 0*h - 17/270*h**5 + 0 + 5/54*h**4. Factor c(y).
-2*y*(y - 5)*(y - 2)*(y - 1)/9
What is d in 6/5*d**3 + 1194/5*d - 594/5 - 606/5*d**2 = 0?
1, 99
Let u(c) be the third derivative of -c**5/45 - 11*c**4/54 + 8*c**3/27 - 16*c**2 + 67*c. Factor u(l).
-4*(l + 4)*(3*l - 1)/9
Let d be 28/3*168/32. Suppose 0 = 3*x - 5*c - 27, -5*x - 17 = -4*c - d. Factor 2*k**2 + 2*k**3 + k**3 + k**x - k**2 - 2 - 3*k.
(k - 1)*(k + 1)**2*(k + 2)
Let k(v) be the second derivative of 5*v**7/42 - 31*v**6/6 + 187*v**5/4 + 1445*v**4/4 - v + 154. Factor k(q).
5*q**2*(q - 17)**2*(q + 3)
Let r(m) be the second derivative of m**4/12 - 281*m**3/3 - 563*m**2/2 - 2*m - 1523. Factor r(g).
(g - 563)*(g + 1)
Let a(b) be the first derivative of -b**4 - 1648*b**3/3 - 84042*b**2 + 342792*b + 2364. Let a(p) = 0. What is p?
-207, 2
Suppose 2685 = 7*r + 1075. Suppose 33*z + r*z**2 - 4 - 3*z**3 - 218*z**2 + 22 = 0. What is z?
-1, 6
Let i(f) = 2*f**3 - 2*f - 1. Let o(c) = 13*c**3 - 25*c**2 + 100*c + 582. Suppose 494*a = 484*a + 60. Let k(w) = a*i(w) - o(w). Suppose k(r) = 0. What is r?
-3, 14
Let y(q) be the third derivative of q**5/120 + 31*q**4/48 + 5*q**3/2 - 1210*q**2. Factor y(o).
(o + 1)*(o + 30)/2
Let o = -306 + 308. Factor -18*b - 2*b - 1081 + 1105 + 4*b**o.
4*(b - 3)*(b - 2)
Let p = 5439 + -5433. Let a(d) be the third derivative of 0*d**4 + 0 + 0*d + 0*d**3 + 1/30*d**5 + 1/120*d**p - 3*d**2 - 1/210*d**7. Let a(y) = 0. Calculate y.
-1, 0, 2
Suppose -5*s = -2*x - 11, -4*s - 40 = 5*x + 4. Let f be x/(-18) + ((-12)/(-27))/2. Let 0 + 0*o**2 - o**4 - 2/3*o**3 + f*o**5 + 0*o = 0. Calculate o.
-1/2, 0, 2
Let h(f) be the first derivative of -f**4/8 - 51*f**3/16 + 39*f**2/16 - 64*f + 33. Let m(s) be the first derivative of h(s). Factor m(z).
-3*(z + 13)*(4*z - 1)/8
Let l(j) = -25*j**2 + 8957*j - 409594. Let d(g) = -83*g**2 + 26872*g - 1228784. Let a(z) = -3*d(z) + 8*l(z). Determine r, given that a(r) = 0.
640/7
Let v(w) be the second derivative of -w - 1/12*w**3 + 8 + 1/84*w**7 + 0*w**2 + 0*w**5 - 1/12*w**4 + 1/30*w**6. Suppose v(t) = 0. What is t?
-1, 0, 1
Let h = -285/196 + 108/49. Let p(m) be the second derivative of 3/8*m**3 + h*m**2 + 0 + 1/16*m**4 - 16*m. Factor p(c).
3*(c + 1)*(c + 2)/4
Let z(u) be the first derivative of 50*u**3/27 - 4460*u**2/9 + 397832*u/9 + 1287. Let z(j) = 0. Calculate j.
446/5
Let o(p) be the second derivative of 0*p**2 + 5/33*p**3 + 1/132*p**4 - 143*p + 0. Suppose o(r) = 0. What is r?
-10, 0
Let v(i) = 62*i**3 - 9285*i**2 - 4725*i - 598. Let p(a) = -60*a**3 + 9306*a**2 + 4725*a + 597. Let b(h) = -7*p(h) - 6*v(h). Factor b(k).
3*(k - 197)*(4*k + 1)**2
Let q(s) = 12*s**2 + 11*s + 7. Let p be q(-2). Let h(d) be the first derivative of -2*d - p + 3/2*d**2 - 1/3*d**3. Find l such that h(l) = 0.
1, 2
Let t = 143 - 127. Solve -651*p**3 - 12*p + 1309*p**3 + 16 - t*p**2 - 661*p**3 = 0 for p.
-4, -2, 2/3
Determine g so that 3/4*g**4 + 271767/4*g**2 + 279075 + 909/2*g**3 - 277245*g = 0.
-305, 2
Determine b, given that 9*b**2 + 13*b**2 + 11*b**2 + 105*b - 32*b**2 = 0.
-105, 0
Let v(a) = 4*a**2 - 23*a - 6*a**3 + 7*a**3 - 3*a**2 - 9 + 8*a**2. Let t be v(-11). Determine r, given that -1/5*r**t + 1/5*r**3 + 1/5 - 1/5*r = 0.
-1, 1
Let l(j) = j**3 + 149*j**2 + 334*j - 15180. Let t be l(-146). Factor 0 + 2/3*s**t - 2*s**2 + 0*s - 4/3*s**3.
2*s**2*(s - 3)*(s + 1)/3
Let p(j) be the first derivative of -j**5/30 + 5*j**4/3 + 7*j**3 + 37*j**2/2 - 153. Let a(t) be the second derivative of p(t). What is m in a(m) = 0?
-1, 21
Let y(c) = 11*c**2 - 2*c + 5. Let i be (-18)/(-6) + 5*-2. Let j(b) = 6*b**2 + 2. Let z(u) = i*j(u) + 4*y(u). Factor z(q).
2*(q - 3)*(q - 1)
What is u in 1738/3*u**3 - 648*u**2 + 10/3*u**5 - 108*u**4 + 0 + 520/3*u = 0?
0, 2/5, 1, 5, 26
Let o(i) be the third derivative of i**8/504 + 4*i**7/21 + 52*i**6/15 + 1184*i**5/45 + 256*i**4/3 - 2380*i**2. Find g, given that o(g) = 0.
-48, -4, 0
Let d(o) be the second derivative of 3*o**4/16 + 25*o**3/4 - 93*o**2 + 15*o - 33. Factor d(j).
3*(j - 4)*(3*j + 62)/4
Let b(u) be the first derivative of u**5/80 - 3*u**4/4 + 23*u**3/8 - u**2 - 7*u + 37. Let x(k) be the second derivative of b(k). What is d in x(d) = 0?
1, 23
Let r(i) = 22*i**2 - 2*i - 1. Let u(y) = 93*y**2 - 34738*y + 60308641. Let q(f) = 4*r(f) - u(f). Factor q(x).
-5*(x - 3473)**2
Let j = -378 + 404. Factor -3750 + 2*d + 62*d**4 + 3750 + j*d**2 + 20*d**5 + 66*d**3.
2*d*(d + 1)**3*(10*d + 1)
Let 1/2*g**4 + 2/3*g + 0 + 7/6*g**2 - 7/3*g**3 = 0. Calculate g.
-1/3, 0, 1, 4
Let z(c) be the first derivative of 173*c**3/6 - 1555*c**2/4 - 9*c + 4408. Determine t, given that z(t) = 0.
-2/173, 9
Let t(h) = -h**3 - 5*h**2 + h - 1. Let y(z) = -7*z + 4*z - 7 + 2 + 8*z - 5*z**3 - 20*z**2. Let x(r) = 25*t(r) - 6*y(r). Factor x(m).
5*(m - 1)**2*(m + 1)
Suppose -6033*v + 13233 - 1223 + 6089 = 0. Find k such that -10/13*k**2 + 0 + 4/13*k - 2/13*k**5 + 6/13*k**v + 2/13*k**4 = 0.
-2, 0, 1
Let c(t) be the first derivative of t**3/15 - 21*t**2/10 + 4*t + 2122. Factor c(r).
(r - 20)*(r - 1)/5
Solve 132/7*w - 6/7*w**4 - 21*w**2 - 36/7 + 57/7*w**3 = 0 for w.
1/2, 1, 2, 6
Let l = 712889/3 + -237627. Solve -14/3 - 1/6*b**2 - l*b = 0.
-14, -2
Suppose 2*r = -14 - 14, -14*c + 5*r = -10*c - 78. Factor 9*y + 0 + 21/2*y**c + 3/2*y**3.
3*y*(y + 1)*(y + 6)/2
Let h = 2837 + -2832. Let d(g) be the second derivative of 1/6*g**4 - 2/3*g**3 + g**2 + 0 - h*g. Factor d(v).
2*(v - 1)**2
Let v = -641/6 - -4919/42. Let a(w) be the third derivative of 9/7*w**4 + 0*w + 25*w**2 + 3/35*w**5 + 0 + v*w**3 + 1/420*w**6. Factor a(c).
2*(c + 6)**3/7
Let g = -73 + 71. Let n = 5 + g. Factor -3*j**2 + 2*j**n + 5*j**2 + 14*j + 8 + 2*j**2 - 4*j**3.
-2*(j - 4)*(j + 1)**2
Let f be 600/2345 - (-46)/1541. Factor -f*o**2 + 4/7*o + 0.
-2*o*(o - 2)/7
Suppose 0 - 39/2*p**2 - 79/4*p + 1/4*p**3 = 0. Calculate p.
-1, 0, 79
Let l(p) be the third derivative of p**5/90 - 605*p**4/18 + 366025*p**3/9 - 4*p**2 - p + 88. Determine b so that l(b) = 0.
605
Let m(q) be the first derivative of -59 + 2*q + 0*q**4 + 0*q**2 - 5/6*q**3 + 1/10*q**5. Find j such that m(j) = 0.
-2, -1, 1, 2
Let z(w) be the third derivative of 7*w**6/1140 - w**5/95 - 5*w**4/76 - 2*w**3/57 - 8*w**2 - 21*w. Factor z(q).
2*(q - 2)*(q + 1)*(7*q + 1)/19
Suppose -2*c + 0*c + 13 = -n, c - 4*n = 24. Suppose 3*t - 3 = 5*y + 1, -t - y = -c. Factor -k + t*k + 3*k + 4 + k**2.
(k + 1)*(k + 4)
Factor 79*j**2 - 246*j**2 + 3588 - 3591*j + 86*j**2 + 84*j**2.
3*(j - 1196)*(j - 1)
Find g, given that 432/11*g**2 + 0 - 2/11*g**4 + 0*g - 60/11*g**3 = 0.
-36, 0, 6
Let o = 174950 + -174944. Determine a, given that 0 - 16/3*a**2 + 2/3*a**3 - o*a = 0.
-1, 0, 9
Let t(m) be the third derivative of 5/112*m**8 + 0 + 1/4*m**4 + 0*m + 0*m**3 + 327*m**2 + 3/70*