v. What is z in 0 + 21/4*z**2 + j*z**3 + 3/4*z**4 + 9/4*z = 0?
-3, -1, 0
Let l(o) be the second derivative of o**7/21 - o**6/5 - 9*o**5/5 + 11*o**4/3 + 27*o**3 + 45*o**2 + 1767*o. Suppose l(x) = 0. Calculate x.
-3, -1, 3, 5
Suppose p = -4*z + 2949, z - 7*p - 753 = -2*p. Solve 2348 + 742*l**3 - z*l**3 + 4092*l + 1496 + 252*l**2 = 0 for l.
-31, -1
Let x(c) be the first derivative of -c**4/6 - 29*c**3/3 - 28*c**2 + 28*c - 95. Let u(q) be the first derivative of x(q). Factor u(k).
-2*(k + 1)*(k + 28)
Factor 53/3*d - 1/3*d**2 + 110/3.
-(d - 55)*(d + 2)/3
Let l(v) be the third derivative of 292*v**2 + 0*v**3 + 1/420*v**5 + 0*v + 1/168*v**4 + 0. Let l(p) = 0. Calculate p.
-1, 0
Let m(y) be the second derivative of -y**5/10 - 3*y**4/2 + 10*y**3/3 + 18*y - 19. Factor m(c).
-2*c*(c - 1)*(c + 10)
Suppose -12*l - 24 = -20*l. Let w(u) = 2*u**2 - 16*u - 15. Let i(z) = 5*z**2 - 32*z - 30. Let j(k) = l*i(k) - 7*w(k). Factor j(b).
(b + 1)*(b + 15)
Suppose -19*c + 30 - 30 = 0. Let p(f) be the second derivative of 0 + c*f**2 + f**4 - 2/5*f**5 - 2/15*f**6 + 0*f**3 + 12*f. Determine k so that p(k) = 0.
-3, 0, 1
Factor 4411/7*o**2 + 5/7*o**3 + 139041*o + 27783.
(o + 441)**2*(5*o + 1)/7
Let d(u) be the first derivative of u**6/1080 - 23*u**5/180 + 5*u**4/8 - 115*u**3/3 - 52. Let b(y) be the third derivative of d(y). Solve b(j) = 0.
1, 45
Let s(j) = -j**2 + 157*j + 224. Let p(o) = -4*o**2 + 764*o + 1120. Let x(v) = -3*p(v) + 16*s(v). Factor x(w).
-4*(w - 56)*(w + 1)
Let m(c) = c**2 - 1. Let p(x) = -2*x**2 - 2*x + 4. Let r(n) = -5*m(n) - 2*p(n). What is v in r(v) = 0?
1, 3
Let g(y) be the second derivative of y**5/10 + 107*y**4/3 + 20*y - 82. Factor g(p).
2*p**2*(p + 214)
Let t(l) be the third derivative of -11*l**2 + 3/2*l**3 - 11/10*l**4 + 0 + 21/50*l**5 + 2*l - 1/350*l**7 - 3/50*l**6. Factor t(o).
-3*(o - 1)**3*(o + 15)/5
Factor -52*p**3 + 103*p**3 + 40*p - 58*p**2 - 31*p**3 + p**4 - 3*p**4.
-2*p*(p - 5)*(p - 4)*(p - 1)
Let b(n) be the second derivative of -n**7/840 - n**6/120 + n**4/6 + 113*n**3/6 + 12*n + 2. Let k(s) be the second derivative of b(s). Factor k(j).
-(j - 1)*(j + 2)**2
Let p = -80358 + 80362. Find w such that 30/7*w**p - 144/7*w + 0 + 264/7*w**2 - 2/7*w**5 - 148/7*w**3 = 0.
0, 1, 2, 6
Let -6/5*w**4 - 4/5*w**3 + w - 1/5*w**5 - 12/5 + 18/5*w**2 = 0. What is w?
-4, -3, -1, 1
Let j(p) be the third derivative of 23*p + 0 - 2*p**2 + 1/3*p**3 - 1/240*p**5 + 1/48*p**4. Find f such that j(f) = 0.
-2, 4
Factor 2*j**3 - 1 + 2774*j - 6*j**2 + 2777*j + 7*j**4 - 4*j**3 - 3*j**5 - 5546*j.
-(j - 1)**3*(j + 1)*(3*j - 1)
Let o = 12 - 23. Let z(h) = h**3 + 11*h**2 + 2. Let y be z(o). Factor -2/5*j**y - 4/5 + 6/5*j.
-2*(j - 2)*(j - 1)/5
Let m = 49820/13 + -3832. Find j such that 6/13*j**3 + 4/13*j**2 - 6/13*j - m = 0.
-1, -2/3, 1
Let i(w) = -14*w + 198. Let v = 1342 - 1328. Let r be i(v). Factor -8/5*p - 6/5 - 2/5*p**r.
-2*(p + 1)*(p + 3)/5
Let d(q) = -q**5 + q**4 - q**3 - q**2 + 1. Let p(x) = 10*x**5 - 14*x**4 - 32*x**3 - 74*x**2 - 68*x - 29. Let g(w) = 36*d(w) + 4*p(w). Solve g(i) = 0.
-2, -1, 10
Let w = -183556 + 183560. Factor 72/5 - 22/5*v**2 - 4/5*v**3 + 2/5*v**w + 24/5*v.
2*(v - 3)**2*(v + 2)**2/5
Let b(y) be the first derivative of y**6/33 - 24*y**5/55 + 15*y**4/11 + 272*y**3/33 - 735*y**2/11 + 1800*y/11 + 785. Let b(s) = 0. Calculate s.
-4, 3, 5
Let j be (1 - 220/121) + 30/(-840)*-28. Factor 40/11 - 40/11*f**2 + j*f**3 - 2/11*f.
2*(f - 20)*(f - 1)*(f + 1)/11
Let o(l) = 21*l**4 - 15*l**3 - 191*l**2 - 715*l - 520. Let x(r) = -25*r**4 + 16*r**3 + 190*r**2 + 716*r + 519. Let q(w) = 6*o(w) + 5*x(w). Factor q(v).
(v - 21)*(v + 1)*(v + 5)**2
Let s(j) = 41*j**2 - 6733*j + 6812. Let p(t) = 120*t**2 - 20200*t + 20430. Let x(a) = -12*p(a) + 35*s(a). Factor x(n).
-5*(n - 1348)*(n - 1)
Let n(r) be the third derivative of -r**6/360 + 71*r**5/36 + r**4/72 - 355*r**3/18 + 2*r**2 + 5*r + 158. Factor n(u).
-(u - 355)*(u - 1)*(u + 1)/3
Factor 5088 + 35*b**2 - 3*b**3 - 21*b + 4776 - 10305 - 2*b**2.
-3*(b - 7)**2*(b + 3)
Let w(m) = 787*m**3 + 154452*m**2 + 2*m - 1. Let v(z) = -z**4 + z**3 + 3*z**2 + 2*z - 1. Let u(c) = 5*v(c) - 5*w(c). Factor u(i).
-5*i**2*(i + 393)**2
Let r(u) = u**3 + 167*u - 167*u. Let h(i) = -8*i**3 - 6*i**2 + 2*i + 6. Let j(n) = -2*h(n) - 12*r(n). Factor j(b).
4*(b - 1)*(b + 1)*(b + 3)
Let p be (-12)/9 - 1972/(-1470)*1. Let g = p - -472/2205. Factor -4/3*x - g*x**2 - 2.
-2*(x + 3)**2/9
Factor -288 + i**4 - 122*i**3 + 376*i**2 + 23*i**4 + 33*i - 10*i**4 - 4*i**4 - 9*i.
2*(i - 6)**2*(i - 1)*(5*i + 4)
Suppose 733*v - 311 = 1888. Determine w so that -75/7*w**2 + 0 + 30/7*w**v - 3/7*w**4 + 0*w = 0.
0, 5
Let q(f) be the third derivative of -f**7/280 + 19*f**6/160 - 87*f**5/80 + 117*f**4/32 + 8*f**2 - 12*f. Factor q(n).
-3*n*(n - 13)*(n - 3)**2/4
Suppose 4*k = -2*p + 836, 3*k + 2*k - 1060 = 5*p. Solve 120*q**4 - 75*q**5 + 43 + 177*q**3 - 96*q + 34 + 16 + 3 - k*q**2 = 0 for q.
-1, 4/5, 2
Let h(p) be the first derivative of 2/3*p**3 + 5*p**2 + 79 + 0*p. Let h(r) = 0. What is r?
-5, 0
Let m(t) be the first derivative of 1/30*t**4 + 4/5*t**2 - 10 - t + 4/15*t**3. Let r(c) be the first derivative of m(c). Factor r(s).
2*(s + 2)**2/5
Suppose 0*b - 20 = -4*b, 2*m - 3*b + 16 = 1. Determine w so that -3/7*w**2 + 9/7*w + m = 0.
0, 3
Factor -23*t**2 - 122*t - t**3 - 845 + 1460 - 775.
-(t + 2)*(t + 5)*(t + 16)
Let h(j) = 60*j**3 + 976*j**2 + 1614*j - 278. Let t(w) = 124*w**3 + 1950*w**2 + 3227*w - 559. Let o(l) = 5*h(l) - 2*t(l). Factor o(y).
4*(y + 2)*(y + 17)*(13*y - 2)
Let q(r) be the second derivative of -4/9*r**3 - 32 + 0*r**2 + 3/4*r**5 + 1/18*r**4 - 2*r. Factor q(h).
h*(5*h - 2)*(9*h + 4)/3
Let k(j) be the first derivative of j**4/2 + 2*j**3/3 - 110*j**2 + 1510. What is l in k(l) = 0?
-11, 0, 10
Let o = -109 - -80. Let z = -17 - o. Determine k, given that k + 3*k**3 + z*k**3 + 5*k + 0*k - 21*k**2 = 0.
0, 2/5, 1
Suppose -3*o + 5*y + 131 = 22, -2*o = 2*y - 62. Solve s**4 - 2*s**3 - 4 - 3*s**4 + 6*s**2 + o*s - 31*s = 0 for s.
-2, -1, 1
Let v = -2/529 + 701997/3703. Let z = -189 + v. Factor -2/7*s**3 - 2/7*s - z*s**2 + 0.
-2*s*(s + 1)**2/7
Let d(t) be the second derivative of -7*t**5/5 - 4646*t**4/3 - 1540480*t**3/3 + 440896*t**2 + 5178*t. Factor d(l).
-4*(l + 332)**2*(7*l - 2)
Let s(p) be the third derivative of -p**2 + 1/4*p**4 - 24*p + 0 + 1/60*p**6 + 1/3*p**3 + 1/10*p**5. Factor s(c).
2*(c + 1)**3
Let m = -587 - -603. Suppose 0 = 32*r + m*r - 96. Suppose -5*f**3 - 5/2*f + 0 + 45/4*f**r = 0. What is f?
0, 1/4, 2
Let v(h) be the second derivative of h**5/210 + 2*h**4/21 + 8*h**2 + 59*h. Let d(s) be the first derivative of v(s). Factor d(g).
2*g*(g + 8)/7
Let j be ((-1 + 0/(-5))*0/(-3))/(-3). Factor 8/7*x**2 + 2/7*x**3 + j + 0*x.
2*x**2*(x + 4)/7
Let q(l) = l**3 + 3*l**2 + l - 1. Let d(c) = 3*c - 7. Let m be d(2). Let x be q(m). Factor 0*k**2 + x + 0*k - 1/6*k**4 + 0*k**3.
-k**4/6
Let a(h) be the second derivative of 5/12*h**3 + 43*h + 0 - 5/48*h**4 + 15/8*h**2. Factor a(t).
-5*(t - 3)*(t + 1)/4
Let c be (408/(-60) + 8)/(1/((-15)/(-6))). Let j(v) be the first derivative of 0*v - 8/3*v**3 - 11 + 1/2*v**4 + c*v**2. What is t in j(t) = 0?
0, 1, 3
Let h(v) be the first derivative of 2*v**5/15 - 49*v**4/12 + 98*v**3/3 - 45*v**2/2 - 3818. Factor h(k).
k*(k - 15)*(k - 9)*(2*k - 1)/3
Let q(x) be the third derivative of x**6/30 + 2*x**5/5 - 37*x**4/6 + 20*x**3 - 153*x**2 + x. Solve q(f) = 0 for f.
-10, 1, 3
Let 876*j - 575532 - 1/3*j**2 = 0. Calculate j.
1314
Let t be 6 + (-260)/45 - 878/(-18). Let -t*g**2 + 92*g**2 + 477*g**2 - 479*g - 288 + 3050*g**3 + 250*g**4 - 505*g = 0. Calculate g.
-12, -2/5, 3/5
Let y = 4/2219 + 15517/8876. Solve 0 - 1/4*s**2 - 1/2*s + 15/4*s**3 + y*s**5 - 19/4*s**4 = 0 for s.
-2/7, 0, 1
Factor -198/5 - 1/5*l**2 - 199/5*l.
-(l + 1)*(l + 198)/5
Let s(j) be the first derivative of -86 + 1/38*j**4 + 2662/19*j + 363/19*j**2 + 22/19*j**3. Determine t, given that s(t) = 0.
-11
Let d(w) be the second derivative of -w**8/8400 + w**7/630 - 7*w**6/900 + w**5/50 - 31*w**4/6 - 54*w. Let z(k) be the third derivative of d(k). Factor z(y).
-4*(y - 3)*(y - 1)**2/5
Suppose 34*x - 24*x + 9290 = 0. Let f = x - -10261/11. Suppose -f*r - 12/11 - 6/11*r**4 - 30/11*r**3 - 54/11*r**2 = 0. What is r?
-2, -1
Let l be 29478/4*48*2/384. Find j such that 3/8*j**3 + 2601/8*j + l + 1