 be (-122)/793 - 263674/286. Let r = 923 + o. Factor -34/11*j**2 + r*j**3 + 32/11*j - 8/11.
2*(j - 2)*(j - 1)*(5*j - 2)/11
What is r in 6*r + 108/5 - 2/5*r**2 = 0?
-3, 18
Let q(a) = -10*a**2 + 80*a. Let b(n) = 11*n**2 - 81*n. Suppose 15*y + 24*y - 195 = 0. Let s(f) = y*b(f) + 6*q(f). Factor s(j).
-5*j*(j - 15)
Factor -17*n**2 - 42*n - 46*n**3 + 51*n**3 + 27*n**2 - 33*n.
5*n*(n - 3)*(n + 5)
Factor 49 - 427*m + 198*m + 53 + 3*m**2 + 172*m.
3*(m - 17)*(m - 2)
Let z(l) = -42*l + 14. Let r be z(-5). Let a be (-4)/(-6) + r/24. Factor -4*q - 9*q**3 + a*q**3 + q**2 + 2*q.
q*(q - 1)*(q + 2)
Factor 2/9*s**2 - 124*s + 17298.
2*(s - 279)**2/9
Let m(p) be the first derivative of -97 - 32*p**2 + 1/3*p**3 + 1024*p. Factor m(j).
(j - 32)**2
Solve -5/2*a**3 - 66270*a + 2076460 + 705*a**2 = 0 for a.
94
Let c(n) be the third derivative of -2/3*n**3 + 70*n**2 - 23/90*n**5 + 0 - 71/36*n**4 + 0*n. Factor c(x).
-2*(x + 3)*(23*x + 2)/3
Let s(z) be the third derivative of -z**6/40 + 83*z**5/10 - 840*z**4 - 7056*z**3 + 7683*z**2. Let s(l) = 0. What is l?
-2, 84
Let t(f) be the third derivative of f**7/840 - f**6/160 - f**5/16 - 17*f**4/96 - f**3/4 + 1717*f**2. Factor t(o).
(o - 6)*(o + 1)**3/4
Let x be (-87)/(-24) + 42/112. Let n(s) be the first derivative of 3/20*s**5 - 3/4*s**2 + 0*s - 3/4*s**3 - 6 + 0*s**x. Determine w so that n(w) = 0.
-1, 0, 2
Let x be (32/30)/((-40)/(-200)). Let z(p) be the first derivative of 2/3*p**6 - 21 - 4/5*p**5 + 0*p + x*p**3 + 0*p**2 - 4*p**4. Suppose z(l) = 0. Calculate l.
-2, 0, 1, 2
Let z be ((-3 - -15)/1)/(23 + -21). Let c be (z + 104/(-16))*0. Factor 2/7*m + 2/7*m**2 + c.
2*m*(m + 1)/7
Let x(d) be the third derivative of d**5/90 + 146*d**4/9 + 85264*d**3/9 + 2*d**2 - 1116*d. What is i in x(i) = 0?
-292
Let a(w) = -175*w**4 + 480*w**3 + 7375*w**2 + 665*w + 95. Let g(p) = -11*p**4 + 30*p**3 + 461*p**2 + 42*p + 6. Let x(k) = -6*a(k) + 95*g(k). Factor x(c).
5*c**2*(c - 13)*(c + 7)
Let y(i) be the first derivative of -5*i**3/3 + 444*i**2 + 356*i + 115. Determine h, given that y(h) = 0.
-2/5, 178
Let w be ((1/(-66))/(3/48))/(122/(-183)). Factor -w - 2/11*u**2 + 6/11*u.
-2*(u - 2)*(u - 1)/11
Let w be -5 + (250/75)/((-4)/(-6)). Let c(o) be the third derivative of 8*o**2 - 1/24*o**4 + 1/120*o**6 + 1/60*o**5 + 0*o - 1/6*o**3 + w. Factor c(p).
(p - 1)*(p + 1)**2
Let x(k) be the first derivative of -k**6/24 - 3*k**5/10 - k**4/4 + 2*k**3 + 4*k**2 + 932. Suppose x(s) = 0. Calculate s.
-4, -2, 0, 2
Let z(q) = 2*q**2 - 79*q + 80. Let f(k) = -3*k**3 - 12*k**2 + 19*k + 21. Let g be f(-5). Let o be z(g). What is b in -4/3*b**2 + 0 + 0*b + 10/3*b**o = 0?
0, 2/5
Let n(v) be the third derivative of -v**5/240 + 31*v**4/8 + 373*v**3/24 - 13*v**2 - 553*v. Factor n(y).
-(y - 373)*(y + 1)/4
Let a(v) be the first derivative of -v**4 - 8*v**3 + 518. Determine c so that a(c) = 0.
-6, 0
Let o = 2508/227 + -15740/1589. Determine b so that 1/7*b**2 + b - o = 0.
-8, 1
Suppose 2*w = 4, -j = -4*j + 5*w - 10. Suppose 0 = -t - 5, j = -a + 4*t + 5 + 17. Factor 8*v**a - 63*v**2 + 19*v**2 - 15*v + 6 + 0*v.
-3*(3*v + 2)*(4*v - 1)
Let s(m) be the third derivative of m**7/8820 - m**6/360 - 2*m**5/105 - 5*m**4/8 - 75*m**2. Let o(c) be the second derivative of s(c). Factor o(g).
2*(g - 8)*(g + 1)/7
Let d(v) be the second derivative of -v**5/10 - 5*v**4/6 + 13*v**3/6 + 9*v**2/2 + 79*v. Let h be d(-6). Suppose 1/5*j**h + 0 + 2/5*j**2 + 0*j = 0. What is j?
-2, 0
Let v(r) be the first derivative of r**6/60 + r**5/15 - 39*r**2/2 + 8. Let b(p) be the second derivative of v(p). Solve b(w) = 0.
-2, 0
Suppose 2664/5*v + 1/5*v**2 + 1774224/5 = 0. What is v?
-1332
Suppose 833*o = 1516*o - 808*o. Let v = -3/74 + 169/518. Let 0 + 2/7*f**3 + 4/7*f**4 + o*f**2 + 0*f + v*f**5 = 0. What is f?
-1, 0
Let v(j) be the second derivative of 121*j**5/40 + 11*j**4/4 + j**3 - 56*j**2 + 53*j. Let b(f) be the first derivative of v(f). Factor b(l).
3*(11*l + 2)**2/2
Let v = 1/2043 + 7490/2043. Let o(z) be the second derivative of -28*z - 10/9*z**3 - v*z**2 + 0 + 1/18*z**4. Determine d, given that o(d) = 0.
-1, 11
Let v = 18 - -25. Suppose -6*w + v + 53 = 0. Let 8*i**3 + 12*i**4 + 2*i**5 + w*i**2 - 5*i**3 + 21*i**3 = 0. What is i?
-2, 0
Let k = 286 + 717. Let l = k - 999. Find f such that 0*f**2 + 2/15*f**3 - 2/15*f**5 + 0*f**l + 0 + 0*f = 0.
-1, 0, 1
Let z(b) be the third derivative of b**5/240 + 205*b**4/96 - 103*b**3/12 - 3*b**2 - 28. Find q, given that z(q) = 0.
-206, 1
Let l(y) be the second derivative of 0 + 1/36*y**4 + 0*y**2 - 1/90*y**6 + 32*y - 5/18*y**3 + 1/12*y**5. Factor l(r).
-r*(r - 5)*(r - 1)*(r + 1)/3
Factor 20/3 + 19/3*o - 1/3*o**2.
-(o - 20)*(o + 1)/3
Factor -2172663 + 3*t**2 - 9444*t + t**2 - 6*t**2 - 8975979.
-2*(t + 2361)**2
Factor -21*f**2 - 49/5*f - 1/5*f**4 + 686/5 - 19/5*f**3.
-(f - 2)*(f + 7)**3/5
Let i(d) be the second derivative of -d**5/90 - 59*d**4/12 - 265*d**3/54 + d - 643. Factor i(w).
-w*(w + 265)*(2*w + 1)/9
Let p = 12 - 5. Let c(r) = 12*r**2 - 12*r. Let d(q) = -24*q + 1 + q**3 - 5*q**2 - 2*q**3 + 2*q**2 + 16*q**2 + 11*q**2. Let w(m) = p*c(m) - 4*d(m). Factor w(s).
4*(s - 1)**3
Let u(j) = -j**3 + 874*j**2 - 190987*j + 21. Let d(c) = 2*c**3 - 1748*c**2 + 381968*c - 35. Let f(y) = 3*d(y) + 5*u(y). Factor f(l).
l*(l - 437)**2
Let h(c) be the second derivative of 1/2*c**4 - 5*c - 3/2*c**3 + 3 + 3/2*c**2. Factor h(s).
3*(s - 1)*(2*s - 1)
Let j(x) be the first derivative of -2*x**3/3 - 30*x**2 - 352*x + 629. Suppose j(f) = 0. What is f?
-22, -8
Let a(p) be the first derivative of p**4/8 + 5*p**3/3 - 181*p**2/4 - 95*p + 2498. Let a(v) = 0. Calculate v.
-19, -1, 10
Let f = 28 + -14. Factor 18 + f - 2*c**2 + 14*c - 16.
-2*(c - 8)*(c + 1)
Let w be ((-9)/6)/((-57)/114). Factor 3/4*n**w - 1/4*n**2 - 3/4*n + 0 + 1/4*n**4.
n*(n - 1)*(n + 1)*(n + 3)/4
Let f be (-21*4/16 - 0)/((-21)/56). Let p(o) be the third derivative of -1/35*o**7 - 5/6*o**4 + 7/30*o**5 + 7/30*o**6 - f*o**2 + 0*o**3 + 0*o + 0. Factor p(w).
-2*w*(w - 5)*(w + 1)*(3*w - 2)
Let o(l) be the second derivative of 2*l + 13/27*l**3 - 1/9*l**4 - 2/9*l**2 - 14. Find j such that o(j) = 0.
1/6, 2
Let d be 15/3*-1 - -1. Let q be (-6)/27 + (304/(-18))/d. Factor -q*r**2 - 16*r + 4 + 0*r - 16.
-4*(r + 1)*(r + 3)
Let z(a) be the first derivative of a**4/4 + 574*a**3/3 + 1142*a**2 + 2280*a + 3542. Determine h, given that z(h) = 0.
-570, -2
Let d(l) = 105*l + 2522. Let t be d(-24). Let u(y) be the first derivative of -8/3*y**3 - 9/2*y**4 + 0*y + 18/5*y**5 + 4*y**t - 15. Let u(w) = 0. What is w?
-2/3, 0, 2/3, 1
Determine n so that 1008/5*n + 127008/5 + 2/5*n**2 = 0.
-252
Let a = -369707/42 - -8802. Let j = 11/14 - a. Factor -j*o**2 + 0*o + 0 - 1/3*o**4 + 5/3*o**3.
-o**2*(o - 4)*(o - 1)/3
Factor -3/2*q**3 - 8397/2*q + 4197/2 + 4203/2*q**2.
-3*(q - 1399)*(q - 1)**2/2
Let z = 4475 - 4471. Factor 3/2*w**5 - 9*w**z + 30*w**2 - 81/2*w + 3*w**3 + 15.
3*(w - 5)*(w - 1)**3*(w + 2)/2
Let v(i) be the second derivative of -15*i**7/14 + 37*i**6/2 - 149*i**5/2 + 325*i**4/3 - 60*i**3 + 2801*i. Solve v(w) = 0.
0, 2/3, 2, 9
Factor -1/2*o**2 - 159*o - 25281/2.
-(o + 159)**2/2
Let b(d) be the first derivative of -d**5/60 - d**4/12 + 2*d**3/9 - 171*d + 159. Let k(i) be the first derivative of b(i). Find g, given that k(g) = 0.
-4, 0, 1
Let p = -2023251/4 + 505814. Factor 0 - 3/2*m**3 - 1/4*m**5 - p*m**4 + 0*m**2 + 0*m.
-m**3*(m + 2)*(m + 3)/4
Let h(d) be the first derivative of -d**4/4 - 4922*d**3/3 - 6056521*d**2/2 + 2584. Factor h(n).
-n*(n + 2461)**2
Let u(q) be the first derivative of q**4/4 - 6*q**3 - 2109. Find p, given that u(p) = 0.
0, 18
Let x(i) be the third derivative of i**6/480 + 3*i**5/10 + 47*i**4/32 + 35*i**3/12 + 600*i**2 - 2*i. Factor x(j).
(j + 1)**2*(j + 70)/4
Let f(y) = -6*y**5 - 22*y**4 - 65*y**3 + 671*y**2 + 10*y - 5. Let h(q) = q**5 + q**2 - 2*q + 1. Let m(j) = 3*f(j) + 15*h(j). Determine t, given that m(t) = 0.
-13, 0, 4
Let j be -14*6/(-24)*2. Let q(i) = -14*i**2 - 236*i - 841. Let r(l) = 41*l**2 + 710*l + 2523. Let o(g) = j*q(g) + 2*r(g). Determine f so that o(f) = 0.
-29/4
Let i(q) be the third derivative of 675*q**5 - 525*q**4/2 + 245*q**3/6 - 3*q**2 - 412*q + 3. Determine f, given that i(f) = 0.
7/90
Suppose -14 = 3*j + 4*h, -4*j - 3*h - 5 = 2. Solve -72 + 97*t + 38*t**2 - 73*t**j + 31*t**2 - 21*t = 0 for t.
1, 18
Let j(o) = 