2 + 5*q + 19. Let i(k) be the third derivative of n(k). What is j in i(j) = 0?
-6, 0
Let t(s) be the third derivative of s**6/40 - 943*s**5/20 + 220891*s**4/8 + 671187*s**3/2 + 180*s**2 + 3*s + 1. Solve t(v) = 0 for v.
-3, 473
Let m(w) be the first derivative of -w**6/3 + 4*w**5 - 3*w**4/2 - 116*w**3/3 + 28*w**2 + 144*w - 1209. Suppose m(g) = 0. Calculate g.
-2, -1, 2, 9
Determine j so that 168/5 - 321/5*j**3 - 21/5*j**4 - 342/5*j**2 + 516/5*j = 0.
-14, -2, -2/7, 1
Suppose 0 - 11/2*d - 101/4*d**2 - 7/4*d**4 - 43/2*d**3 = 0. What is d?
-11, -1, -2/7, 0
Let f(z) be the second derivative of z**4/84 - 108*z**3/7 + 52488*z**2/7 - z + 2136. Factor f(j).
(j - 324)**2/7
Let a = 165 - 160. Factor -26*y**3 + 12*y**2 - a*y**3 + 4*y**3 + 6*y + 9*y**2.
-3*y*(y - 1)*(9*y + 2)
Let m be ((-2)/(-10))/((-17)/(-2040)*18). Let g = -43 - -131/3. Let -m*i**5 - g*i**2 - 10/3*i**4 - 8/3*i**3 + 0*i + 0 = 0. Calculate i.
-1, -1/2, 0
Let u(h) be the third derivative of -h**5/10 - 83*h**4/16 + 91*h**3/2 - 4564*h**2 - 2*h. Factor u(k).
-3*(k - 2)*(4*k + 91)/2
Let j(b) = 17*b**3 - 58*b**2 - 133*b + 180. Let t(h) = -46*h**3 + 174*h**2 + 398*h - 542. Let w(l) = -8*j(l) - 3*t(l). Solve w(a) = 0 for a.
-3, 1, 31
Let x = -59304 + 59307. Factor -1/2*t**x + 0*t + 0 + 4*t**2.
-t**2*(t - 8)/2
Let n(h) be the third derivative of h**5/12 + 655*h**4/12 + 36*h**2 + 13*h. Factor n(v).
5*v*(v + 262)
Let x(p) be the first derivative of 2*p**3/9 + 44*p**2/3 + 320*p/3 - 5377. Find w, given that x(w) = 0.
-40, -4
Factor -3*r**2 - 282011 + 2*r**2 + 15*r + 282211 - 4*r**2.
-5*(r - 8)*(r + 5)
Let v(k) = -3*k**2 + 16*k + 1. Let x(m) = 5*m**2 + 50*m - 283. Let h(f) = 4*v(f) + x(f). Factor h(t).
-(t - 3)*(7*t - 93)
Let x(v) = 239*v - 953. Let b be x(4). Let y(w) be the first derivative of 12 + 5/3*w**b - 15/2*w**2 + 0*w. Factor y(m).
5*m*(m - 3)
Suppose 30*w - 25*w = -4*y - 1979, 2*y = 5*w + 2003. Let x = w - -401. Find c, given that c - 1/5*c**x - 4/5 = 0.
1, 4
Suppose -29*w - 16*w + 49*w = 16. Let v(c) be the second derivative of 0*c**3 + 0 - 11*c + 0*c**2 + 0*c**5 + 1/6*c**6 - 5/12*c**w. Factor v(b).
5*b**2*(b - 1)*(b + 1)
Let g = 19326/5 + -18987/5. Let y = 68 - g. Solve 2/5*z + y*z**2 + 0 - 4/5*z**3 - 3/5*z**4 = 0 for z.
-1, 0, 2/3
Let i(v) = -100*v**4 + 660*v**3 - 869*v**2 + 309*v + 27. Let g(x) = 25*x**4 - 165*x**3 + 217*x**2 - 77*x - 6. Let j(k) = 9*g(k) + 2*i(k). Factor j(r).
5*r*(r - 5)*(r - 1)*(5*r - 3)
Let r(a) = -a**2 + 15*a + 289. Let w be r(-11). Let q(m) be the first derivative of -3/2*m**2 - 1/4*m**4 + m**w + m + 12. Solve q(p) = 0 for p.
1
Let q(k) = k**5 - k**2 - k + 1. Let l be -4 - (-1)/2*3*2. Let p(i) = 7*i**5 - 4*i**4 - 16*i**3 - 9*i**2 + 9*i + 13. Let t(d) = l*p(d) + 5*q(d). Factor t(c).
-2*(c - 4)*(c - 1)*(c + 1)**3
Let i be -8 - 184/(-4) - (5 + -1). Suppose 15*z - 11 = i. What is s in 0 - 9/2*s**2 + 3*s - 15/2*s**z = 0?
-1, 0, 2/5
Let v = 727871 - 2911481/4. Find r, given that -3*r + 0 - v*r**2 = 0.
-4, 0
Let i(l) be the first derivative of 4*l**3/21 - 270*l**2/7 + 536*l/7 - 2193. Factor i(f).
4*(f - 134)*(f - 1)/7
Let z be 23*(-3 + 4)/1. Suppose -3*w = 2*w + 10, -5*g - w + z = 0. Factor 14*v**2 - 2*v - 2*v**2 + 6 - g*v - 8*v - 3*v**3.
-3*(v - 2)*(v - 1)**2
Let v(r) be the second derivative of 3*r**7/70 - 56*r**6/25 + 3021*r**5/100 + 361*r**4/10 + 1304*r. Factor v(o).
3*o**2*(o - 19)**2*(3*o + 2)/5
Suppose -55*k = -53*k. Factor 16*u**3 + 89 + 128*u + k*u**4 - 3*u**4 + 72*u**2 - 9 + 3*u**4 + u**4.
(u + 2)**3*(u + 10)
Let y(v) be the second derivative of 425/12*v**4 - 80/3*v**3 - 93/4*v**5 + 6*v**6 - 2*v + 9 + 10*v**2. Let y(x) = 0. Calculate x.
1/4, 2/3, 1
Suppose -s + 3*r = 18, -2*r + 51 = -2*s + 15. Let y(h) = -12*h**2 + 124*h - 31. Let n(d) = -3*d**2 + 31*d - 8. Let u(c) = s*n(c) + 4*y(c). Factor u(a).
2*(a - 10)*(3*a - 1)
Suppose 2*p - 6 = 16, -3*s + 0*p = 2*p - 214. Factor s - 18/5*l**3 + 696/5*l**2 + 952/5*l.
-2*(l - 40)*(3*l + 2)**2/5
Let k(y) be the third derivative of -y**8/84 + 31*y**7/210 + y**6/10 - 31*y**5/60 - y**4/3 + 4*y**2 + 2*y. Solve k(g) = 0 for g.
-1, -1/4, 0, 1, 8
Let y(x) be the second derivative of -x**5/20 - 277*x**4/12 + 140*x**3/3 + 278*x**2 - 9533*x. Factor y(p).
-(p - 2)*(p + 1)*(p + 278)
Let z(r) be the first derivative of -1/8*r**4 + 3/160*r**5 - 1/960*r**6 + 0*r**2 - 8*r**3 + 0*r + 26. Let p(i) be the third derivative of z(i). Factor p(f).
-3*(f - 4)*(f - 2)/8
Let w(b) = -5*b**3 + 1605*b**2 + 8390*b + 10120. Let k(y) = 2*y**3 - 535*y**2 - 2794*y - 3372. Let s(x) = 10*k(x) + 3*w(x). Factor s(a).
5*(a - 112)*(a + 2)*(a + 3)
Let v(b) be the first derivative of -b**5/5 - b**4/4 + 4*b**3/3 + 2*b**2 - 1135. Factor v(g).
-g*(g - 2)*(g + 1)*(g + 2)
Let s(a) be the second derivative of 11/2*a**4 + 0 - 1/14*a**7 - 13/2*a**3 - 27/10*a**5 + 9/2*a**2 - 97*a + 7/10*a**6. Determine j so that s(j) = 0.
1, 3
Let m = 321/116 - 15/29. Let t = 3035/8 + -379. Let 27/8 + t*n**2 + m*n = 0. What is n?
-3
Let w(g) = -g**3 - 182*g**2 - 698*g - 724. Let o(u) = 3*u**3 + 546*u**2 + 2097*u + 2170. Let l(x) = -6*o(x) - 17*w(x). Factor l(m).
-(m + 2)**2*(m + 178)
Factor 595*j**3 + 10*j - 32*j**2 - j**4 + 2*j**5 - 559*j**3 - 15*j**4.
2*j*(j - 5)*(j - 1)**3
Let y(r) = -12*r - 57. Let s be y(-1). Let i be -9 + 145/s*-3. Factor -2/3*f - 2/3 + i*f**3 + 2/3*f**2.
2*(f - 1)*(f + 1)**2/3
Let d = -322 + 331. Factor -16*i + d*i**2 - 7*i**2 - 6*i**2 + 21 - 1.
-4*(i - 1)*(i + 5)
Determine b, given that 3*b**2 - 56*b + 846 + 182*b - 285*b = 0.
6, 47
Factor -376/5 + 372/5*s - 18*s**2 - 1/5*s**3.
-(s - 2)**2*(s + 94)/5
Let s(d) = -d**2 + 16*d + 107. Let w be s(19). Factor -3154*x + w*x**4 - 2*x**5 - 432*x**3 + 1095*x**2 + 2130*x + 313*x**2.
-2*x*(x - 8)**3*(x - 1)
Let v(w) be the third derivative of -w**2 + 0 + 74/3*w**4 - 10952/3*w**3 - 1/15*w**5 + 202*w. Factor v(l).
-4*(l - 74)**2
Let g(r) be the second derivative of -1/100*r**5 + 1/10*r**3 + 0*r**4 + 88*r - 1/5*r**2 + 0. Determine t, given that g(t) = 0.
-2, 1
Suppose -4*a + 2*j + 66 = -0*j, 23 = 2*a + j. Suppose -r + 5 = 6, -3*n + a = -5*r. Factor 10 + 30*y + 15/2*y**2 - 25/2*y**n.
-5*(y - 2)*(y + 1)*(5*y + 2)/2
Suppose -58 = -19*i - 2*f, -61*f - 25 = -4*i - 60*f. Suppose 2/7*b**i - 18/7*b**3 - 16/7 + 2*b**2 + 18/7*b = 0. Calculate b.
-1, 1, 8
Let x(g) be the third derivative of g**5/240 + 5*g**4/24 + 8*g**3/3 + 2879*g**2. Factor x(l).
(l + 4)*(l + 16)/4
Let d(n) = n**3 + 14*n**2 + 13*n - 73. Let h be d(-12). Suppose 32*s + h = 59. Find k such that 3/5*k**4 + 0 + 3/5*k**2 + s*k + 6/5*k**3 = 0.
-1, 0
Solve -312*t**3 - 102*t + 9501*t**2 - 108*t**4 - 2*t**5 - 19443*t**2 + 9634*t**2 = 0.
-51, -1, 0
Let q(t) be the first derivative of t**4/18 + 34*t**3/27 + 5*t**2/3 - 50*t - 1327. Factor q(w).
2*(w - 3)*(w + 5)*(w + 15)/9
Factor -87*l**4 + 196*l**2 + 181*l**4 - 351*l**4 - 191*l**2 - 660*l**3 - 408*l**4.
-5*l**2*(l + 1)*(133*l - 1)
Let a = -181 + 194. Let l be (9 - a)/(-16)*(-8)/(-1). Let 5/6*z**3 + 1/2*z - 7/6*z**l + 0 - 1/6*z**4 = 0. Calculate z.
0, 1, 3
Let b(l) = -52*l + 158. Let w be b(3). Factor 4*t**4 + 0*t**4 + 2*t**3 + 227*t**2 - 58*t**3 - 227*t**w.
4*t**3*(t - 14)
Suppose -2*z + 4 = 5*l, 5*z = 42*l - 43*l + 10. Let t(v) be the second derivative of l - 5*v + v**2 + 0*v**3 - 1/6*v**4. Factor t(m).
-2*(m - 1)*(m + 1)
Suppose -45*t + 6251 = 2*t. Factor -t - 14*p**3 + 7*p**3 - 14*p**3 - 1620*p + p**3 + 450*p**2 - 5*p**4 + 1888.
-5*(p - 3)**3*(p + 13)
Let p be ((-64)/360)/((-4)/10). Let o(v) = -2*v**2 + 13*v - 18. Let z be o(4). What is f in 1/3*f - 1/9 + p*f**z = 0?
-1, 1/4
Let t(o) be the second derivative of o**7/84 + o**6/12 - 19*o**5/20 - o**4/4 + 39*o**3/4 + 81*o**2/4 + 2414*o. Solve t(i) = 0 for i.
-9, -1, 3
Let f(w) be the first derivative of -w**3/18 - 109*w**2/12 + 55*w/3 + 1616. Factor f(s).
-(s - 1)*(s + 110)/6
Let d = 107049 + -107044. Suppose -2/5*n**4 + 0 + 2*n**2 - 2/5*n**d + 6/5*n**3 + 4/5*n = 0. Calculate n.
-1, 0, 2
Let n = -321 + 367. Factor -216 + 36*t**2 + 126*t - 18*t + 4*t**4 + n*t**3 - 74*t**3.
4*(t - 3)**3*(t + 2)
Let c = 287 - 1253. Let i = c - -971. Suppose 16/5*p**2 + 6*p**3 + 2/5*p**i - 32/5*p + 0 - 16/5*p**4 = 0. Calculate p.
-1, 0, 1, 4
Suppose 15 + 9 = -12*f. Let c(r) = -r**3. Let l(z) be the third derivative of -z**6/30 - z**5/15 - 6*z**2. Let s(k) = f*c(k) + l(k). Factor s(y).
-2*y**2*(y + 2)
Le