 - 5*v**3 + 5/3*v**l - 5/3*v**2 = 0 for v.
-2, -1, 0, 1
Let g(l) = 6*l**2 - 138*l + 52. Let u(x) = 5*x**2 + 5*x - 3. Let q(k) = -k**2 - k + 1. Let o(c) = -3*q(c) - u(c). Let j(b) = g(b) - 2*o(b). Factor j(a).
2*(a - 13)*(5*a - 2)
Let a(f) be the first derivative of -8/5*f - 13 + 0*f**4 - 2/75*f**5 + 2/5*f**3 - 4/15*f**2. Find i such that a(i) = 0.
-3, -1, 2
Factor 3*i**2 - 313 - 339 + 420 + 46*i.
(i - 4)*(3*i + 58)
Let z(g) be the third derivative of -g**5/30 - 29*g**4/3 - 14*g**2 + 98. Factor z(x).
-2*x*(x + 116)
Let b(r) be the second derivative of -r**6/15 - 15*r**5 - 1551*r**4/2 + 24300*r**3 - 236196*r**2 + 3*r - 1276. Factor b(m).
-2*(m - 6)**2*(m + 81)**2
Let m(o) be the first derivative of -5*o**3/3 + 790*o**2 - 4695*o - 2680. Solve m(z) = 0.
3, 313
Let q(w) be the third derivative of -w**7/3360 - w**6/144 + 16*w**3/3 + 14*w**2 - 2. Let j(k) be the first derivative of q(k). Determine h, given that j(h) = 0.
-10, 0
Determine x so that 3468 - 1860*x**3 + 467/4*x**4 + 11356*x - 7/4*x**5 - 3278*x**2 = 0.
-3, -2/7, 2, 34
Let c(r) = 57*r**4 + 117*r**3 + 51*r**2 - 9*r - 12. Let n = -196 - -202. Let v(l) = l**4 + l**3 - l + 1. Let q(x) = n*v(x) + c(x). Solve q(y) = 0.
-1, -2/7, 1/3
Suppose -175/4*x**2 + 0 + 1399/4*x**3 + 0*x - 698*x**4 - 4*x**5 = 0. Calculate x.
-175, 0, 1/4
Factor 12 + 213*x**2 - 488*x + 216*x + 184*x**2 - 896*x - 9*x**2.
4*(x - 3)*(97*x - 1)
Suppose 3*k - 20 - 16 = 0. Let -14*l**3 - 2*l**4 + 30 - 35*l**2 + 9*l**3 - 5*l**4 + 5*l + k*l**4 = 0. Calculate l.
-2, -1, 1, 3
Suppose 45*y - 85*y - 15 = -43*y. Let i(j) be the first derivative of -8*j**5 - 25*j**4 - y*j - 30*j**3 - 35/2*j**2 + 22. Factor i(c).
-5*(c + 1)*(2*c + 1)**3
Let c(f) be the first derivative of -f**4/4 + 19*f**3/6 + 63*f**2/4 - 18*f - 567. Factor c(k).
-(k - 12)*(k + 3)*(2*k - 1)/2
Let s(v) be the third derivative of -v**5/60 + 19*v**4/12 - 37*v**3/6 + 6*v**2 + 37. Find k, given that s(k) = 0.
1, 37
Let u(n) be the first derivative of 5*n**6/12 + 20*n**5 + 195*n**4 - 4400*n**3/3 + 2420*n**2 - 2967. Factor u(p).
5*p*(p - 2)**2*(p + 22)**2/2
Let f = 1907 - 593076/311. Let b = f - -309/622. Find v, given that -b*v**2 + 3/2 + v = 0.
-1, 3
Let d(m) be the third derivative of m**7/70 + 7*m**6/40 + m**5/5 - 3*m**4/2 - 3*m**2 + 72*m. Find g, given that d(g) = 0.
-6, -2, 0, 1
Find x, given that -321 + 619 + 2093*x - 811 - 555 + 3*x**2 + 1110*x = 0.
-1068, 1/3
Let l(b) be the third derivative of -b**5/180 + b**4/6 + 13*b**3/18 + 15*b**2 + 28. Determine c, given that l(c) = 0.
-1, 13
Let z = -134018/5 + 26804. Let w(i) be the second derivative of z*i**2 - 1/15*i**4 + 1/15*i**3 + 0 + 19*i - 1/50*i**5. Factor w(r).
-2*(r - 1)*(r + 1)*(r + 2)/5
Let b be (-42)/(-4)*(-40)/(-90). Let t be -3*(-44)/594*3. Factor 16/3*j - b*j**2 + t*j**3 + 32/3.
2*(j - 4)**2*(j + 1)/3
Let n(r) be the first derivative of 0*r - 6*r**3 - 1/2*r**4 + 52 - 14*r**2. Solve n(g) = 0 for g.
-7, -2, 0
Let d be 2 + -54 + 12/3. Let n = d + 246/5. Factor n - 27/5*c + 21/5*c**2.
3*(c - 1)*(7*c - 2)/5
Factor 763/3*g**2 + 0 + 98/3*g + 212/3*g**3 + 5*g**4.
g*(g + 7)**2*(15*g + 2)/3
Let i = -43291/16 - -2706. Let z(o) be the first derivative of -1/32*o**4 - i*o**2 + 1/6*o**3 - 5 + 1/4*o. What is m in z(m) = 0?
1, 2
Let s(w) = 90*w**2 + 13488*w + 2046652. Let o(c) = -8*c**2 - 1226*c - 186059. Let a(i) = 68*o(i) + 6*s(i). Determine x, given that a(x) = 0.
-305
Let p(w) = -1350*w**2 - 8111*w - 66. Let y be p(-6). Let 6*c**2 + y - 27/5*c - 3/5*c**3 = 0. Calculate c.
0, 1, 9
Let r = 71833 - 287329/4. Factor -3/4*v**3 + 1/2*v - 1/2*v**4 + r*v**2 + 0.
-v*(v - 1)*(v + 2)*(2*v + 1)/4
Let z(f) be the first derivative of -8/3*f**2 - 5*f - 10 + 8/9*f**3 - 1/9*f**4. Let v(i) be the first derivative of z(i). Factor v(c).
-4*(c - 2)**2/3
Factor 19/3*m**3 - 39*m**2 + 72 + 27*m + 1/3*m**4.
(m - 3)**2*(m + 1)*(m + 24)/3
Let t(i) = -3*i**3 + 19*i**2 + 26*i - 48. Let r(z) = -10*z**3 + 56*z**2 + 79*z - 146. Let d(f) = -2*r(f) + 7*t(f). Factor d(u).
-(u - 22)*(u - 1)*(u + 2)
Let u(z) = 20*z - 849. Let y be u(-43). Let r = -8513/5 - y. Find i, given that 0 + 2/5*i**4 + 0*i + r*i**2 + 16/5*i**3 = 0.
-4, 0
Let o(a) = a**2 - 20*a + 56. Suppose 53*s - 50*s - 60 = 0. Let x be o(s). Factor -5*j**3 - 45*j**2 + 0*j**3 - x*j**2 + 81*j**2.
-5*j**2*(j + 4)
Let l = -319 - -345. Let v be (-4)/l + (-880)/(-2340). Determine f so that -4/3 - 14/9*f + v*f**3 + 0*f**2 = 0.
-2, -1, 3
Let n = -305/22 + 1701/110. Let t(a) be the second derivative of 3/20*a**4 - 1/100*a**5 - 4/5*a**3 + 29*a + n*a**2 + 0. Determine u so that t(u) = 0.
1, 4
Suppose -7*t - 2*l - 13 = -4*t, 0 = -2*t + 2*l - 12. Let a be 23/5 + t/5. Factor 27/10 - 27/5*i + 1/10*i**4 - i**3 + a*i**2.
(i - 3)**3*(i - 1)/10
Let a = 163 + -93. Let f be 16/32*-62 - (-2208)/23. Suppose 20 - 35/2*t**4 - a*t - 5/2*t**3 + 5*t**5 + f*t**2 = 0. Calculate t.
-2, 1/2, 1, 2
Let s = 6327 - 284701/45. Let f = s - -2/15. Factor -4/9*z**4 + 0 + 2/9*z - 2/9*z**5 + f*z**2 + 0*z**3.
-2*z*(z - 1)*(z + 1)**3/9
Let c be 9 - (11 + (-32 - -20))/((-1)/4). Suppose 3/4*f - 1/4*f**c + 1/2*f**2 - 1/2*f**3 - 3/4*f**4 + 1/4 = 0. Calculate f.
-1, 1
Suppose 3*m = -37*j + 32*j + 6254, -6 = -2*m. Factor -16 - 30*h**2 + 1257*h + 16 - j*h.
-2*h*(15*h - 4)
Let o be (-8 + -13 + 19)*2/(-5). Factor -o*p + 2/5*p**2 + 0.
2*p*(p - 2)/5
Let j(q) = 14*q**2 - 290*q. Let z(h) = 3*h**2 - 58*h. Let a(s) = -10*j(s) + 52*z(s). Factor a(o).
4*o*(4*o - 29)
Let o(i) = 6*i + 27. Let p be o(9). Factor -16*w**2 - p + 112*w - 77 + 30 - 4*w**3.
-4*(w - 2)**2*(w + 8)
Let m = 2255 - 2253. Let a(s) be the third derivative of 0*s**3 + 0*s - 20*s**m - 1/510*s**6 - 1/2856*s**8 + 0*s**5 + 0*s**4 + 0 - 1/595*s**7. Factor a(j).
-2*j**3*(j + 1)*(j + 2)/17
Let d(n) be the third derivative of -n**5/20 + 8*n**4 - 63*n**3/2 - 3397*n**2. Determine v, given that d(v) = 0.
1, 63
Let g(i) be the third derivative of -i**7/525 + i**6/300 + i**5/75 + i**2 - 242. Solve g(l) = 0 for l.
-1, 0, 2
Let o(i) = 10*i**2 - 140*i - 980. Let c(w) be the third derivative of w**5/60 - 31*w**2 + 2. Let a(m) = 15*c(m) - o(m). Suppose a(x) = 0. Calculate x.
-14
Solve 0*m + 0 + 1/4*m**4 - 7*m**2 + 27/4*m**3 = 0.
-28, 0, 1
Let i(c) be the first derivative of 2*c**3/19 - 4033*c**2/19 - 5380*c/19 + 3040. Suppose i(b) = 0. What is b?
-2/3, 1345
Let c(b) be the first derivative of b**6/27 - 8*b**5/45 + 2*b**4/9 - 2194. Solve c(n) = 0.
0, 2
Let t(a) be the first derivative of -a**6/6 - 9*a**5/10 - a**4/8 + 13*a**3/6 + 3*a**2/4 - 2*a - 544. Find o, given that t(o) = 0.
-4, -1, 1/2, 1
Solve 251*n**2 - 92*n - 227*n**2 - 4*n**3 + 540*n = 0 for n.
-8, 0, 14
Find p such that 15*p**4 - 5/4*p**5 - 85/2*p**2 - 315/4*p + 20*p**3 - 65/2 = 0.
-1, 2, 13
Let a(j) be the third derivative of j**6/24 - 19*j**5/4 - 15*j**4/8 + 855*j**3/2 + 32*j**2 - 13. Solve a(p) = 0 for p.
-3, 3, 57
Find u such that -2291*u**4 - 15*u - 2282*u**4 - 13*u**2 - 7*u**2 - 7*u**2 - 9*u**3 + 4576*u**4 = 0.
-1, 0, 5
Suppose 26 + 334 = -10*i. Let h = i + 47. Factor 10*l**4 + 0*l**5 + 2*l**2 + 9*l**3 - 3*l**5 - 5*l**5 + h*l**5.
l**2*(l + 1)*(l + 2)*(3*l + 1)
Let b(i) be the third derivative of i**4/24 - i**3 + 19*i**2. Let a be b(6). Suppose a*q**3 + 5*q**4 - 5 + 4*q**2 + q**2 - 5 + 15*q - 15*q**3 = 0. Calculate q.
-1, 1, 2
Let l(w) be the second derivative of -w**4/12 - 38*w**3/3 + 78*w**2 + 37*w - 1. Suppose l(x) = 0. Calculate x.
-78, 2
Let j(v) be the first derivative of 4/21*v**3 + 0*v + 1/210*v**5 - 19/2*v**2 + 1/21*v**4 + 18. Let q(r) be the second derivative of j(r). Factor q(d).
2*(d + 2)**2/7
Let k(x) be the first derivative of 4/5*x + 66 - 2*x**2 + 11/15*x**3 - 12/25*x**5 + 23/20*x**4. Suppose k(w) = 0. What is w?
-1, 1/4, 2/3, 2
Let h(p) = -2*p**2 - 91*p - 42. Let r be h(-45). Let l be ((0 + 0/3)/1)/3. Determine f so that -2/17*f**r + 10/17*f + 8/17*f**2 + l = 0.
-1, 0, 5
Factor -41*m - 126*m - 144*m - 374 - m**2 - 108*m + 44*m.
-(m + 1)*(m + 374)
Let d(x) = x**3 - 23*x**2 + x - 20. Let v be d(23). Determine z, given that 18*z**2 + 9*z**3 - 17*z**2 - 11*z**v - 7*z**4 - z**5 - 3*z**5 = 0.
-1, 0, 1/4
Find c such that -5/4*c**2 + 395/2*c - 785/4 = 0.
1, 157
Let z = -392321/1007576 + 92/1247. Let k = 6/101 - z. Find p such that 6*p + k*p**2 + 15/2 - 3/8*p**3 = 0.
-2, 5
What is z in -825*z**2 + 6750*z + 974*z**3 + 4*z**4 + 5*z**5 + 21