z) = -16*z**3 - 9*z**2 + 351*z + 3380. Let i(w) = 123*w**3 + 71*w**2 - 2808*w - 27040. Let o(r) = 46*h(r) + 6*i(r). Factor o(u).
2*(u - 20)*(u + 13)**2
Let t(p) = 117*p + 705. Let k be t(-6). Let j be -10 - k*(-104)/24. Solve 64/5*l - 48/5*l**2 - 2/5*l**4 + 16/5*l**j - 32/5 = 0 for l.
2
Suppose -5/3*b**3 + 1/3*b**5 - 5/3*b**4 + 40/3*b + 25/3*b**2 + 16/3 = 0. What is b?
-1, 4
Let s be 16 + -3 + 6 + -9. Let 5*f - 5*f**3 - 1863*f**4 + 1858*f**4 + s*f**2 + 25*f**2 - 30 = 0. What is f?
-3, -1, 1, 2
Let c(f) be the first derivative of 1/2*f**3 + 4 + 9/2*f + 3*f**2. Find s such that c(s) = 0.
-3, -1
Let x be -42*54/(-9072)*(-2 + 4). Determine q so that 0*q**2 + 1/2*q**3 + 0*q + 0 + x*q**4 = 0.
-1, 0
Let p(q) = 2*q**2 + 36*q + 84. Let x be p(-14). Let c be 7/147*-6 + (-22)/x. Factor 13/2*d - 15/2*d**2 - 2 - c*d**4 + 7/2*d**3.
-(d - 4)*(d - 1)**3/2
Let u(r) = -r**2 - 11*r + 44. Suppose -2*s - 17 = 5*x + 21, 3*s + 50 = -4*x. Let z be u(s). Solve 2/9*i - 2/9*i**z + 0 = 0.
0, 1
Suppose -10*q = q + 2*q. Suppose -r + 10*r + 3*r = 0. What is v in 2/5*v**3 - 7/5*v**4 + r*v**2 + 3/5*v**5 + q*v + 0 = 0?
0, 1/3, 2
Let w(m) be the second derivative of m**7/42 + m**6/10 - m**5/2 - 2*m + 456. Suppose w(v) = 0. What is v?
-5, 0, 2
Let g(o) = -12*o**2 + 8376*o - 1444892. Let y(i) = 4*i**2 - 2791*i + 481631. Let x(j) = 5*g(j) + 16*y(j). Solve x(a) = 0.
347
Suppose 12*a = 296 - 1148. Let j be (-35)/(-2) - (a - 20)/(-13). Factor -j*v + 9/8*v**2 + 27/8.
3*(v - 9)*(3*v - 1)/8
Let d be (1/44)/(4165/(-1420) - -3). Let q = d - 3/19. Factor 0 + 2/11*v + q*v**2.
2*v*(v + 1)/11
Let a = 1368 + -461. Let w = -904 + a. Factor -9/5*i**2 + 3/5*i**w + 0 + 0*i.
3*i**2*(i - 3)/5
Let t = 840483 - 1680953/2. Factor t - 25/4*z - 1/4*z**2.
-(z - 1)*(z + 26)/4
Determine m, given that 38/11*m**2 + 224/11*m + 384/11 + 2/11*m**3 = 0.
-8, -3
Suppose -5*f = 2*t + t - 27, 0 = 4*f + 2*t - 20. Solve -9*u**2 + 9*u + 11*u - 26*u - f*u**3 = 0.
-2, -1, 0
Let r(t) = t**3 - 41*t**2 - 45*t + 144. Let w be r(42). Factor w*s + 4*s + 36*s + 2*s**2 + 56.
2*(s + 1)*(s + 28)
Let v(k) be the second derivative of 1/10*k**6 - 9*k**3 + 3/5*k**5 + 237*k + 0*k**2 - 15/4*k**4 + 0. Find d, given that v(d) = 0.
-6, -1, 0, 3
Let c(o) be the first derivative of o**4/2 + 14*o**3/3 - 4*o**2 - 56*o - 1949. Factor c(v).
2*(v - 2)*(v + 2)*(v + 7)
Suppose 4*k = 5*o - 1, -17*k + 16*k - 19 = 5*o. Let q be (k/(-11))/(20/220). Find u such that -6/17*u**3 + 4/17*u**q + 0 + 2/17*u**5 - 8/17*u - 16/17*u**2 = 0.
-2, -1, 0, 2
Let n(k) be the first derivative of -k**7/8820 + k**6/3780 + k**5/140 - k**4/28 + 31*k**3 + 48. Let t(h) be the third derivative of n(h). Factor t(c).
-2*(c - 3)*(c - 1)*(c + 3)/21
Suppose -42 = -t + 5*s, 129*t + 2*s + 6 = 124*t. What is j in 5/2 - j + 1/10*j**t = 0?
5
Let x(k) = -2*k**4 - 20*k**3 + 2*k**2 + 8*k + 12. Let m(l) be the first derivative of l**2/2 - l + 47. Let s(i) = -12*m(i) - x(i). Let s(v) = 0. What is v?
-10, -1, 0, 1
Factor 257*i**3 + 970*i + 285*i**2 - 140*i + 540*i**2 - 262*i**3.
-5*i*(i - 166)*(i + 1)
Let d(w) be the third derivative of -10*w**2 + 121/8*w**3 + 0 - 1/160*w**6 + 0*w + 23/80*w**5 - 143/32*w**4. Solve d(n) = 0.
1, 11
Let p(u) = u**2 + 6*u + 6. Let a(w) = -8*w**2 - 252*w - 672. Let n(i) = -a(i) - 4*p(i). Find j, given that n(j) = 0.
-54, -3
Solve -208/3 - 124*m - 14/3*m**2 = 0.
-26, -4/7
Let c(f) = -14*f**3 + 186*f**2 - 2940*f + 12363. Let i(n) = -62*n**3 + 838*n**2 - 13230*n + 55632. Let r(j) = -22*c(j) + 5*i(j). Let r(g) = 0. What is g?
7, 21
Let j(z) = 70*z - 9166. Let s be j(131). Factor 0*u**s + 0 - 9/2*u**3 - 3*u**2 + 3/2*u**5 + 0*u.
3*u**2*(u - 2)*(u + 1)**2/2
Let i = 1401678/525629 - 2/1576887. Determine r, given that -16/9*r - i - 2/9*r**2 = 0.
-6, -2
Let t be (-18)/(-6)*228/152*(-4)/(-54). Let o(c) be the first derivative of -8/9*c - 26/27*c**3 - 37 - 4/3*c**2 - 2/45*c**5 - t*c**4. Factor o(s).
-2*(s + 1)**2*(s + 2)**2/9
Let f(p) be the first derivative of -19/15*p**2 + 68/15*p - 46 + 2/45*p**3. Factor f(s).
2*(s - 17)*(s - 2)/15
Let r(z) be the first derivative of z**4/34 - 2134*z**3/17 + 2563200*z**2/17 - 5120000*z/17 - 5467. Factor r(x).
2*(x - 1600)**2*(x - 1)/17
Let l = 2015/424 + -232/53. Solve 3/2*v**2 + l - 15/8*v = 0.
1/4, 1
Let m(h) be the third derivative of -h**7/315 - 11*h**6/60 - 3*h**5/10 + 157*h**4/36 - 32*h**3/3 + 2*h**2 + 93. Suppose m(c) = 0. What is c?
-32, -3, 1
Let c = 124906 + -374716/3. Determine k, given that -8 - c*k**2 - 14/3*k = 0.
-4, -3
Determine z so that 31996*z**4 - 380*z**3 - 31852*z**4 - 4*z**5 - 253*z**2 - 275*z**2 = 0.
-1, 0, 4, 33
Let l(j) be the second derivative of -j**5/4 + 5*j**4/6 + 5*j**3/2 + 1527*j. Factor l(i).
-5*i*(i - 3)*(i + 1)
Let b be 108/45*(152/(-6) + 2). Let t = 136 + b. Factor -58*w**4 + 8*w + t*w**4 + 72*w**3 + 82*w**3 + 64*w**2 + 76*w**4.
2*w*(w + 1)*(7*w + 2)**2
Let o(g) = 7*g**3 - 202*g**2 + 2558*g - 10236. Let s(v) = 8*v**3 - 203*v**2 + 2557*v - 10234. Let h(r) = 3*o(r) - 2*s(r). Determine b so that h(b) = 0.
8, 16
Let x(q) be the second derivative of q**4/24 + 8*q**3 + 92*q**2 + 6270*q. Solve x(r) = 0.
-92, -4
Let p be 27 + -23 + 1*2. Let h(k) = -k**2 + 8*k - 6. Let i be h(p). Factor i*f**2 + 0 + 3/2*f**3 + 9/2*f.
3*f*(f + 1)*(f + 3)/2
What is n in -4*n - 230/9 + 2/9*n**2 = 0?
-5, 23
Let c = 160 + -158. Factor 5*u**5 - 20*u**4 - 30*u**3 - 33*u**c + 30*u**2 + 23*u**2 + 25*u.
5*u*(u - 5)*(u - 1)*(u + 1)**2
Let k(d) = 2*d**2 - 3*d - 8. Let m(t) = 4*t**2 - 5*t - 14. Suppose -89*o + 85*o = 12. Let l(v) = o*m(v) + 5*k(v). Find r, given that l(r) = 0.
-1, 1
Let x(m) be the third derivative of 16*m**2 + 2 - 9*m**3 + 17/10*m**5 + 1/35*m**7 + 0*m + 15/8*m**4 + 3/8*m**6. Factor x(k).
3*(k + 2)*(k + 3)**2*(2*k - 1)
Let w be (-8 - (-100)/12)/(5/(-15))*0. Factor -2*v + w + 1/3*v**2.
v*(v - 6)/3
Let r be (-9184)/(-12240) - ((-88)/45 - (-8)/(-24)*-6). Let b be 2/(-3) + 152/102. Find w, given that -2/17*w**2 - r*w + b = 0.
-7, 1
Let d = 24508 - 220550/9. Factor -92/9*j**2 + 104/9*j - 16/9 + d*j**3.
2*(j - 2)**2*(11*j - 2)/9
Let w(c) = -17*c - 505. Let g be w(-30). Let j(x) be the second derivative of -2/21*x**3 + 5*x + 0*x**2 - 1/42*x**4 + 1/70*x**g + 0. Let j(r) = 0. What is r?
-1, 0, 2
Let u(l) be the second derivative of l**7/28 - l**6/12 - l**5/20 + l**4/4 - l**3/12 - l**2/4 + 64*l - 8. Factor u(y).
(y - 1)**3*(y + 1)*(3*y + 1)/2
Let i(s) be the third derivative of s**5/180 + 7*s**4/24 + 10*s**3/9 - 1393*s**2. Factor i(r).
(r + 1)*(r + 20)/3
Find m such that -4/11*m**4 - 16/11 + 20/11*m**2 + 2/11*m**5 - 10/11*m**3 + 8/11*m = 0.
-2, -1, 1, 2
Let a = 1952 + -1944. Suppose 0 = -78*s + a*s. Factor -15/4*y + 5/4*y**3 + s - 5/2*y**2.
5*y*(y - 3)*(y + 1)/4
Suppose -w + 5 = 1, -2*n + 3*w - 8 = 0. Let b = 176/21 + -599/84. Let 1/4*q**n + b*q - 3/2 = 0. What is q?
-6, 1
Let t(g) be the third derivative of 0*g + 0*g**3 + 0 - 1/8*g**4 + 1/12*g**5 - 1/210*g**7 - 1/120*g**6 + 116*g**2. Factor t(x).
-x*(x - 1)**2*(x + 3)
Let m(w) be the third derivative of -w**6/120 - 13*w**5/20 - 133*w**4/8 - 361*w**3/6 + 12*w**2 + 86*w. Let m(h) = 0. Calculate h.
-19, -1
Determine o so that 2*o**4 - 96*o**3 - 8*o**3 + 3081*o + 16554*o + 106722 + 428*o**2 + 4389*o = 0.
-7, 33
Suppose 2*p = 2*o, 0 = 6*o - 3*o - 12. Suppose 0 = p*j - 10*j + 48. What is y in y**2 - 2 + 11 + j*y + 2 + 5 = 0?
-4
Let t = -15 + 33. Let k = t - 15. Factor -78*m**2 - 76*m**2 + 5*m**5 - 5*m**k + 154*m**2.
5*m**3*(m - 1)*(m + 1)
Let k(y) be the second derivative of -4/9*y**3 - 7 - 1/36*y**4 + 0*y**2 + 3*y. Factor k(g).
-g*(g + 8)/3
Suppose -285*v + 48 = -309*v. Let r be v/(-11) - (1368/(-99) + 12). Factor 16/3 - 2/3*f**r - 4/3*f.
-2*(f - 2)*(f + 4)/3
Let f be 24 - (-2 + 7 - -16). Factor -8/3*i**2 + 4/9*i**f + 2/9*i**4 + 6 - 4*i.
2*(i - 3)*(i - 1)*(i + 3)**2/9
Factor i**3 - 72 - 5*i - 58*i**2 + 188 + 96*i + 70*i + 104.
(i - 55)*(i - 4)*(i + 1)
Let z be ((-106)/20 - -6)*3/105. Let g(x) be the second derivative of 0*x**3 + 0*x**4 - z*x**5 + 0*x**2 - 2*x + 0. Solve g(i) = 0.
0
Let l(d) be the second derivative of d**5/90 - 7*d**4 + 1323*d**3 + 168*d + 19. Factor l(y).
2*y*(y - 189)**2/9
Let j be (-60)/(-24)*1/9*(0 - -9). Factor 135/2*n + 135 + 0*n**2 - j*n**3.
-5*(n - 6)*(n + 3)**2/2
Let t(r) be the second derivative of -7*r**7/720 + 7*r**6/120 - 3*r**5/20 - 2*r**4/3 + 48*r. Let s