first derivative of 148*f**5/5 - 52*f**4 - 236*f**3/3 + 60*f**2 + 7013. What is q in g(q) = 0?
-1, 0, 15/37, 2
Let o(g) be the first derivative of -1/51*g**6 - 4/17*g**5 + 0*g - 7/17*g**2 - 44/51*g**3 - 106 - 12/17*g**4. Find b, given that o(b) = 0.
-7, -1, 0
Let t(d) be the third derivative of 5/6*d**4 + 3*d**3 + 0*d + 0 + 1/30*d**5 - 25*d**2. Factor t(r).
2*(r + 1)*(r + 9)
Let a be (-288)/(-21) - 2/(-7). Let b(t) = t**3 + 2. Let n be b(0). Factor n + a*y**2 - 32*y - 10 - 28*y**2.
-2*(y + 2)*(7*y + 2)
Let u(q) = 2*q**2 + 6*q - 20. Let d(i) = -i**2 - i + 1. Let r be d(2). Let l be u(r). Factor 12/7*j**2 + l + 8/7*j + 4/7*j**3.
4*j*(j + 1)*(j + 2)/7
Let c(s) = -5*s**2 + 18*s - 9. Let u(a) = -a**2 + a + 1. Let r = -241 - -237. Let o(l) = r*u(l) + c(l). Factor o(q).
-(q - 13)*(q - 1)
Factor 3/4*u**2 - 225/2*u - 453/4.
3*(u - 151)*(u + 1)/4
Solve 232/9*n - 1322/9*n**2 - 2156/9*n**5 - 8/9 + 1330/9*n**4 + 1924/9*n**3 = 0.
-1, 1/22, 2/7, 1
Let t = -1319 - -899. Let i = t + 424. Determine n, given that 0 - 6/7*n**2 + 0*n + 3/7*n**3 + 3/7*n**i = 0.
-2, 0, 1
Factor -25/3 + 50/3*s - 8*s**2 - 2/3*s**3 + 1/3*s**4.
(s - 5)*(s - 1)**2*(s + 5)/3
Let y = 199764 + -199760. Factor 10/3*z**3 + 2/3*z**4 + y - 14/3*z**2 - 10/3*z.
2*(z - 1)**2*(z + 1)*(z + 6)/3
Let c be (3 - 80/24) + (-26)/(-6). Solve -183*y**5 - 16*y**3 + 8*y**c + 189*y**5 + 8*y**3 = 0.
-2, 0, 2/3
Suppose 6 = 5*s + 4*a - 0*a, a + 1 = 0. What is w in 83 - 42 - 9*w**2 - 47 + 17*w**s - 11*w**2 - 9*w = 0?
-2, -1
Let f = 12662983/1575 - 72331/9. Let k = f + -66/25. Factor 8/7*m - k*m**2 - 4/7.
-4*(m - 1)**2/7
Factor -1/6*a**2 + 31/3 - 61/6*a.
-(a - 1)*(a + 62)/6
Let z(q) be the first derivative of 18 + 0*q - 3/8*q**4 + 0*q**2 - 11/2*q**3. Suppose z(c) = 0. Calculate c.
-11, 0
Let o(v) = -v**2 + 22*v - 39. Let n be o(20). Let t be 5/n - (7 + -7). Let 6*p - 11*p**5 + 4*p - 4*p**t + 35*p**2 - 7*p**4 + 5*p**3 - 28*p**4 = 0. What is p?
-2, -1, -1/3, 0, 1
Let q(o) be the second derivative of o**7/126 - o**6/6 + 5*o**5/12 + 5*o**4/12 - 13*o**3/9 - o + 405. Suppose q(b) = 0. Calculate b.
-1, 0, 1, 2, 13
Let f be ((-1020)/(-8))/15 - (-12)/8. Let g be 4*(f/4 + -2). Factor -3*t + 3 + 3/2*t**3 + 3/4*t**4 - 9/4*t**g.
3*(t - 1)**2*(t + 2)**2/4
Let u = -962876 + 2888641/3. Let -4*n + u*n**2 - 1/3*n**3 + 0 = 0. What is n?
0, 1, 12
Find s such that -1987377*s + 2071*s**3 + 27108999*s + 3931946*s - 357216*s**2 - 119*s**3 - 4*s**4 - 886133824 = 0.
122
Let y(j) be the second derivative of -j**7/63 - 13*j**6/45 + j**5/5 + 43*j**4/9 + 107*j**3/9 + 13*j**2 - 2616*j. Determine r so that y(r) = 0.
-13, -1, 3
Find j, given that 980241*j - 1140*j**3 + 468*j**4 - 44 - 980273*j + 44 + 424*j**2 = 0.
0, 4/39, 1/3, 2
Let p(w) = 4*w**3 - 1184*w**2 + 93561*w - 438070. Let m(o) = -4*o**3 + 1180*o**2 - 93566*o + 438068. Let y(t) = -5*m(t) - 6*p(t). Factor y(g).
-4*(g - 148)**2*(g - 5)
Suppose -175*g**2 - 177*g**2 - 484*g + 58564 + 525*g**2 - 172*g**2 = 0. Calculate g.
242
Factor -2*f**4 - 670*f**2 - 293*f - 108*f**3 - 120*f**3 - 151*f - 26*f**4 + 26*f**4.
-2*f*(f + 1)*(f + 2)*(f + 111)
Let v(u) be the third derivative of -2/135*u**5 + 0*u**3 - 5*u**2 + 1/36*u**4 + 0*u + 1/540*u**6 + 6. Solve v(k) = 0 for k.
0, 1, 3
Let d be (155 + -157)/(72/(-8)). Solve -242/9*b - d*b**3 + 0 - 44/9*b**2 = 0.
-11, 0
Let l(f) = 4*f**4 - 39*f**3 + 76*f**2 - 69*f + 17. Let m be 25/(1 + -6) + 18/3. Let u(q) = -2*q**3 + q**2 - q + 1. Let h(o) = m*l(o) - 5*u(o). Factor h(k).
(k - 3)*(k - 2)**2*(4*k - 1)
What is u in 14*u**3 - 32/5*u**4 - 2/5*u**5 + 0 - 36/5*u**2 + 0*u = 0?
-18, 0, 1
Suppose -255 + 57 = -22*c. Let k(r) = -r**3 + 11*r**2 - 36*r + 164. Let q be k(c). Factor 2/7*n**q + 0 + 2/7*n.
2*n*(n + 1)/7
Let d(n) be the third derivative of n**6/30 + 47*n**5/15 + 22*n**4/3 - 184*n**3/3 - 6*n**2 + 51. Find o, given that d(o) = 0.
-46, -2, 1
Determine p, given that -4*p**2 - 36041 + 36041 - 380*p = 0.
-95, 0
Let l(o) = -621*o**2 + 1293*o - 25. Let x(z) = 310*z**2 - 648*z + 14. Let a(n) = -6*l(n) - 11*x(n). Solve a(c) = 0.
-1/158, 2
Factor -1295 - 55*y**2 - 74*y**2 - 252*y + 1307.
-3*(y + 2)*(43*y - 2)
Let c = 365/98 + -158/49. Find u such that -1 - c*u**5 - 9/2*u - 7*u**3 - 3*u**4 - 8*u**2 = 0.
-2, -1
Suppose 95 = -28*p + 235. Factor j**3 - 26*j**4 - 18*j**4 - 24*j**p - 2*j**3 + 4*j**5 - 7*j**3.
-4*j**3*(j + 2)*(5*j + 1)
Suppose 6*j - 449 = n, -303 = -4*j - 4*n + n. Let h be ((-18)/10)/(-3) - j/(-125). Factor 0 + h*m**2 + 0*m.
6*m**2/5
Let a = 10211/1346765 + -8/1195. Let c = a - -1609/1127. Find w such that 18/7 + 6/7*w - c*w**2 + 2/7*w**3 = 0.
-1, 3
Let k(i) be the third derivative of 0 - 1/40*i**5 + 50*i**2 + 1/16*i**4 + 0*i**3 + 0*i. Determine h, given that k(h) = 0.
0, 1
Suppose 27*z - 340 = -57*z + 16*z. Factor -2/13*s**3 + 0 + 0*s**4 + 0*s + 0*s**2 + 2/13*s**z.
2*s**3*(s - 1)*(s + 1)/13
Let k(j) be the third derivative of j**6/40 - 3*j**5/4 + 59*j**4/8 - 45*j**3/2 + 2*j**2 + 2225. Suppose k(p) = 0. Calculate p.
1, 5, 9
Let u(r) be the third derivative of -r**5/105 - 80*r**4/7 + 1928*r**3/21 + 2*r**2 - 5*r + 18. Factor u(v).
-4*(v - 2)*(v + 482)/7
Let g(z) be the third derivative of z**6/180 - 116*z**5/15 + 13456*z**4/3 - 12487168*z**3/9 + 139*z**2 - 9. Factor g(w).
2*(w - 232)**3/3
Factor -1430/3 + 5/3*s**3 - 2855/3*s - 1420/3*s**2.
5*(s - 286)*(s + 1)**2/3
Let l(n) be the third derivative of n**6/120 + 17*n**5/60 + 2*n**4/3 + n**3/3 + n**2. Let z be l(-16). Factor -10*y + 4*y**2 + y**z - 13 + 0 - 2.
5*(y - 3)*(y + 1)
Let t(g) = -2*g**3 - 2*g**2 + 4*g + 8. Let w be t(-6). Suppose w*z + 9 = 347*z. Factor -686/9*k**z + 128/9 - 224/3*k + 392/3*k**2.
-2*(7*k - 4)**3/9
Let a(j) = 304*j**2 + 20837*j - 5132. Let i(g) = -52*g**2 - 3473*g + 855. Let h(v) = 6*a(v) + 35*i(v). Factor h(t).
(t + 867)*(4*t - 1)
Let q(p) be the third derivative of 53*p**7/252 + 115*p**6/72 + 71*p**5/18 + 5*p**4/2 - 2*p**2 - 13*p. Factor q(z).
5*z*(z + 2)**2*(53*z + 18)/6
Suppose 0*t - 5*t = -4*i + 4, -3*t - 5*i = -5. Determine k so that -3*k**3 + t*k**3 + 185*k - 173*k = 0.
-2, 0, 2
Factor -11/8*i + 35/4 - 5/4*i**2 - 1/8*i**3.
-(i - 2)*(i + 5)*(i + 7)/8
Let n be 776/(-44) - -13 - (-1 + -4). Let i(k) = 3*k + 18. Let a be i(-6). What is l in a - 6/11*l**2 - n*l - 2/11*l**3 = 0?
-2, -1, 0
Let d(m) be the second derivative of 69 + 40/9*m**3 - 19*m**5 + m + 24/5*m**6 - 16/3*m**2 + 130/9*m**4. Determine g, given that d(g) = 0.
-1/4, 2/9, 2/3, 2
Let a(j) = 5*j**4 - 2035*j**3 + 214250*j**2 - 5*j + 5. Let g(w) = 7*w**3 + w**2 - w + 1. Let m(t) = -a(t) + 5*g(t). Let m(f) = 0. Calculate f.
0, 207
Find s such that -27*s**2 - 557283 + 1013*s - 6085*s + 7*s - 2693*s = 0.
-431/3
Factor -66/5 + 3/5*h**3 - 93/5*h - 24/5*h**2.
3*(h - 11)*(h + 1)*(h + 2)/5
Let u(k) be the first derivative of -23*k - 7*k**2 + 2*k**3 - 32*k + 59*k + 17. Factor u(r).
2*(r - 2)*(3*r - 1)
Let w be 1/((-45)/(-20)) - (-304)/(-2223). Let z(r) be the first derivative of 3/26*r**4 - 2/39*r**3 + w*r - 3/13*r**2 - 2/65*r**5 - 6. Solve z(c) = 0 for c.
-1, 1, 2
Let i(m) be the second derivative of -m**8/6720 + m**7/630 - m**6/144 + m**5/60 - 67*m**4/12 + 4*m. Let z(h) be the third derivative of i(h). Factor z(s).
-(s - 2)*(s - 1)**2
Let r be 8/(-30)*76/(-304). Let d(l) be the third derivative of r*l**5 + 0*l - 14/3*l**3 + 4*l**2 - l**4 + 0. Determine x so that d(x) = 0.
-1, 7
Let v = -147 - -151. Determine j so that 70*j**3 + 1283*j**v - 1297*j**4 - 50 - 152*j**2 + 145*j + j**5 + 0*j**5 = 0.
1, 2, 5
Factor -1/4*u - 1/8*u**3 - 9/8*u**2 + 6.
-(u - 2)*(u + 3)*(u + 8)/8
Suppose q + 15 = 5*n, 345*n - 4*q + 9 = 348*n. Find t, given that 3/2*t**2 - 99/8*t + n = 0.
1/4, 8
Let c(i) be the second derivative of 8*i**6/165 - 9*i**5/22 + 466*i. Factor c(g).
2*g**3*(8*g - 45)/11
Find m, given that 5243*m + 480*m**2 - 104*m**2 + 5*m**2 + 270*m**2 + 13034 + 17*m**3 - m**4 = 0.
-7, 38
Let v be (-139)/(-6255)*(-2)/(-4). Let w(r) be the third derivative of -15*r**2 + 0*r + 1/240*r**6 + v*r**5 + 1/144*r**4 + 0*r**3 + 0. Solve w(t) = 0 for t.
-1, -1/3, 0
Suppose -200*m + 220*m**4 + 92*m**2 - 3468*m**3 + 8*m**5 - 6 + 3 + 3972*m**3 + 3 = 0. What is m?
-25, -2, -1, 0, 1/2
Let h = -245 + 273. Let 44*l + h*l**2 - 19*l**3 + 23*l**3 + 24 - 4 = 0. Calculate l.
-5, -1
Let i(w) = 23*w**2 - 8*w**2 - 2*w + 17*w - 9. Let v(b) = 8*b**2 + 8*b - 5. Let a = 353 - 348. 