008/32)/21. Let l(z) be the first derivative of 0*z - h - 5/4*z**4 - 5*z**2 - 5*z**3. Find t such that l(t) = 0.
-2, -1, 0
Let l(s) be the second derivative of -4*s**6/55 - 243*s**5/110 + 32*s**4/11 + 21*s**3/11 + 6594*s. Solve l(p) = 0.
-21, -1/4, 0, 1
Suppose -3/2*r**3 - 47/6*r**2 + 14/3 + 58/3*r = 0. What is r?
-7, -2/9, 2
Let h(q) be the second derivative of 3*q**4/5 - 298*q**3/3 - 332*q**2/5 + 562*q - 1. Factor h(r).
4*(r - 83)*(9*r + 2)/5
Let u = 6878/14091 - 8/671. Factor 2/21*n + 4/7 - u*n**2.
-2*(n + 1)*(5*n - 6)/21
Factor -100*w + 338 - 20*w**3 + 90*w**2 - 28*w**3 + 2*w**4 + 724*w + 146*w**2.
2*(w - 13)**2*(w + 1)**2
Let g(q) = -9*q + 19. Let m be g(-7). Solve 163*h**3 + h + 3*h - 4*h**2 - 85*h**3 + 4 - m*h**3 = 0.
-1, 1
Suppose -3*z - 3*u = -42, 121*z - u = 125*z - 29. Let z*k + 0 - 25/2*k**2 - 10*k**4 - 55/2*k**3 = 0. Calculate k.
-2, -1, 0, 1/4
Let r(u) be the second derivative of 4/21*u**3 + 0*u**2 + 0 + 5/14*u**4 - 2/35*u**5 - 57*u. Factor r(v).
-2*v*(v - 4)*(4*v + 1)/7
Let m = 2289/1255 + -6/251. Let a = 53993/269890 + -3/53978. Determine o, given that a*o**2 + m - 6/5*o = 0.
3
Let n be 18/(-6)*(1 + -3)/(-2). Let k be n/(-4) - (-56)/(-160). Suppose 8/5*p + 8/5*p**2 + k*p**5 + 0 - 6/5*p**3 - 4/5*p**4 = 0. Calculate p.
-1, 0, 2
Let s be (-2465)/(-1281) + 10/(-15). Let j = -7/61 + s. Determine o so that -j*o + 2/7 - 4/7*o**3 + 10/7*o**2 = 0.
1/2, 1
Let k(b) be the second derivative of 43 - b + 32/15*b**6 + 10/3*b**4 + 8*b**3 - 2/7*b**7 - 16*b**2 - 27/5*b**5. Suppose k(o) = 0. Calculate o.
-2/3, 1, 2
Let l(f) be the third derivative of -f**5/5 - 37*f**4/6 - 8*f**3 + 1049*f**2. What is g in l(g) = 0?
-12, -1/3
Factor 113/2*n**2 + 6 - 74*n + 23/2*n**3.
(n - 1)*(n + 6)*(23*n - 2)/2
Let v(l) be the first derivative of l**6/8 + l**5/10 + 29*l**2/2 - 71. Let p(s) be the second derivative of v(s). Factor p(d).
3*d**2*(5*d + 2)
Let p(o) be the first derivative of -5/6*o**4 - 11/3*o**3 + 42 - 30*o - 2*o**2. Let g(d) be the first derivative of p(d). Determine r so that g(r) = 0.
-2, -1/5
Suppose -2*k + 56 = -32. Find d such that -18 + 8*d - k + 48*d**2 + 94 + 80*d - 18*d**3 = 0.
-2/3, 4
Let j = -1247/24 + 189/8. Let g = -27 - j. Let -g + 2*d - 2/3*d**2 = 0. What is d?
1, 2
Let n be (-5 + 1)/((-8)/34) + -15. What is o in -o + 1/2 + 1/4*o**3 - 1/8*o**4 + 3/8*o**n = 0?
-2, 1, 2
Let w = 111407/63 + -12377/7. Determine k so that -20/9*k + w*k**3 + 16/9 + 2/9*k**2 = 0.
-4, 1, 2
Suppose 1205 = 10*r + 85. Determine o, given that -11 - 21*o**4 - 107*o**3 + 5739*o**5 - 12*o - 255*o**2 - 5724*o**5 + 71 - r*o**3 = 0.
-2, -1, 2/5, 5
Let v(h) be the third derivative of h**5/150 + 13*h**4/15 + 20*h**3/3 + h**2 + 36. Find o such that v(o) = 0.
-50, -2
Suppose 4*n = 36, -2*l - 6*l + 4*n - 8 = 6*l. Factor -2/7*t**3 + 128/7 - 30/7*t**l - 96/7*t.
-2*(t - 1)*(t + 8)**2/7
Suppose -20 = 2*k - s - 3*s, -2*s = -10. Suppose 5*i + k*q - 56 = 2*q, 5*i - 5*q = 65. Factor 2 - w**2 - i + 0*w**2 + 4*w**4 + 5*w**2 - 12*w + 12*w**3.
4*(w - 1)*(w + 1)**2*(w + 2)
Let u be (-6)/((-12)/(-1210)) - (-84)/(-12). Let m = -3056/5 - u. Factor m - 4/5*c + 1/5*c**2.
(c - 2)**2/5
Let y(u) be the first derivative of u**4/48 - 5*u**3/6 - 11*u**2/2 - 231*u - 256. Let c(n) be the first derivative of y(n). Factor c(i).
(i - 22)*(i + 2)/4
Factor 4/9 - 364/9*k**2 - 242/3*k.
-2*(k + 2)*(182*k - 1)/9
Factor -233*l**3 + 0*l - 1/3*l**4 + 0 + 700/3*l**2.
-l**2*(l - 1)*(l + 700)/3
Let m(c) be the second derivative of c + 1/2*c**4 + 0*c**3 + 3/20*c**5 + 0*c**2 + 0. Solve m(i) = 0 for i.
-2, 0
Factor 1323 - 210*l + 295555*l**2 - 591107*l**2 + 295555*l**2.
3*(l - 63)*(l - 7)
Let a = 44531/136 - 5560/17. Find j, given that 1/8*j**2 + a*j**4 + 0*j + 1/8*j**5 + 0 + 3/8*j**3 = 0.
-1, 0
Let l(n) be the third derivative of -40/3*n**4 + 0*n - 105*n**2 - 94/55*n**5 - 1600/33*n**3 - 1/15*n**6 - 1/1155*n**7 + 0. Suppose l(c) = 0. What is c?
-20, -2
Let y = -775249 + 3876246/5. Let 320 + y*n**2 + 16*n = 0. Calculate n.
-40
Let m = 158 - 157. Let b be (5/(-15))/m - -3. Factor 1/3*a**5 + 32/3*a**2 + 16/3*a + b*a**4 + 0 + 8*a**3.
a*(a + 2)**4/3
Let w = -89 + 96. Let s be ((-4)/w)/((-2)/7). Factor 426*h - 30*h**s - 306 - 30*h**2 - 174*h + 110 + 4*h**3.
4*(h - 7)**2*(h - 1)
Let v(w) be the second derivative of 0*w**3 + 5/28*w**4 - 19*w + 0*w**2 - 4 - 3/140*w**5. Determine k, given that v(k) = 0.
0, 5
Let g(c) be the first derivative of -c**4/10 - 524*c**3/15 - 261*c**2/5 - 4570. Factor g(w).
-2*w*(w + 1)*(w + 261)/5
Let i = 1615/3 - 538. Let q(n) be the third derivative of 0*n**4 + 0*n + 0 - 1/30*n**5 + i*n**3 + 11*n**2. Find m such that q(m) = 0.
-1, 1
Let r(i) be the first derivative of -7*i**6 + 233*i**5/5 - 105*i**4/2 - 220*i**3/3 + 36*i**2 + 32*i - 4404. Solve r(h) = 0.
-2/3, -2/7, 1/2, 2, 4
Let j(c) = 5*c**2 - 6*c - 2. Let k be j(4). Let v be 0 - k/(-120)*(-8)/(-2). Factor 9*o + 54/5 + v*o**3 - 48/5*o**2.
3*(o - 3)**2*(3*o + 2)/5
Solve -840 - 3/2*t**3 + 396*t - 81/2*t**2 = 0.
-35, 4
Let z(o) = -o**3 + 29*o**2 + 63*o - 35. Let n be z(31). Let v be (3/n)/(45/15) - -1. Determine q so that -v + 0*q**2 + 3/2*q + 3/4*q**4 - 3/2*q**3 = 0.
-1, 1
Factor -9*k**4 + 48 - 144*k - 39*k**3 + 176*k**5 + 15*k**5 + 141*k**2 - 93*k**5 - 95*k**5.
3*(k - 4)*(k - 1)**3*(k + 4)
Factor -138/5 - 132/5*p + 6/5*p**2.
6*(p - 23)*(p + 1)/5
Suppose -2*t + 4*q = -1192, 2*q - 2966 = -5*t - 2*q. Suppose -606 = -4*g - t. Factor -w**2 + w**4 + 1/4*w**g - 1/4*w + 0.
w*(w - 1)*(w + 1)*(4*w + 1)/4
Let l(v) = -2*v**3 + 3*v**2 + 4*v - 1. Let s be l(-2). Solve 81*f**3 + 136*f**3 - s*f**3 - 88*f - 68*f**2 - 24*f**5 - 10*f**3 + 196*f**4 + 52*f = 0.
-1, -1/3, 0, 1/2, 9
Let c be -5 + 1 + (-143)/(-11). Let n(l) = 3*l**2 - 13*l + 9. Let j be n(c). Factor -4*s**3 + 5*s**3 - 6*s**3 + 45*s**2 - j*s + 135.
-5*(s - 3)**3
Find q such that 0 - 672/11*q + 2/11*q**2 = 0.
0, 336
Let v(o) be the first derivative of -o**3/12 - 15*o**2/8 - 11*o - 643. Factor v(u).
-(u + 4)*(u + 11)/4
Suppose -5*y = z - 17, -y - 24 = -4*y + 4*z. Factor -69*c**3 + 5*c**4 + 89*c**3 + 15*c**2 + 0*c**y.
5*c**2*(c + 1)*(c + 3)
Let o(l) = 12*l**2 + 18*l + 51. Suppose 48 = -10*g - 22. Let t(f) = 11*f**2 + 19*f + 48. Let s(z) = g*t(z) + 6*o(z). Factor s(r).
-5*(r + 2)*(r + 3)
Suppose 0 = 6*r - 2068 + 148. Let w = -320 + r. Suppose w + 2/3*j**2 - 2/3*j = 0. What is j?
0, 1
Factor 3987*w - 104*w**2 - 7758*w - 576 - 1233*w.
-4*(w + 48)*(26*w + 3)
Let b be (65529/3123)/(-3) + 7. Let k = 2421/1388 + b. Factor -k*i**3 - 3*i**2 - 3/4*i + 1/2.
-(i + 1)**2*(7*i - 2)/4
Suppose -v = 3*q - 7*q + 19, -2*v + 12 = 2*q. Suppose -19 = -2*g + q*z, 19*g = 18*g - 2*z - 4. Suppose 0 + 2/7*h**4 + 12/7*h**3 - g*h**2 + 0*h = 0. Calculate h.
-7, 0, 1
Let u be (-2)/11*(-72 - 4578/(-70)). Factor 0*b - u*b**3 - 24/5*b**2 + 0.
-6*b**2*(b + 4)/5
Let v be ((-8309)/35)/(8/40). Let b = v + 1189. Suppose -2/3*l + 0 + 1/3*l**b = 0. Calculate l.
0, 2
Suppose -12*a - 78435 = 71*a. Let r = -942 - a. Solve -2/3*p**4 - 8/3*p**r - 4/3*p - 10/3*p**2 + 0 = 0 for p.
-2, -1, 0
Let r(g) = 8*g**2 + 133*g + 17. Let h(q) = 3*q**2 + 57*q + 9. Let k(o) = 7*h(o) - 3*r(o). Factor k(p).
-3*(p - 2)*(p + 2)
Let b(h) be the first derivative of 113 - 2/21*h**6 + 4/21*h**3 + 0*h + 0*h**2 + 1/7*h**4 - 4/35*h**5. Factor b(d).
-4*d**2*(d - 1)*(d + 1)**2/7
Let u(h) be the first derivative of h**6/8 + 7*h**5/12 + 25*h**4/24 + 5*h**3/6 + 5*h**2 - 11. Let p(x) be the second derivative of u(x). Factor p(m).
5*(m + 1)**2*(3*m + 1)
Suppose 76*s - 51*s + 500 = 0. Let j be ((-21)/(3465/(-22)))/((-2)/s). Factor -4*k - 16/3 + j*k**2.
4*(k - 4)*(k + 1)/3
Let -3440/13*q - 1479200/13 - 2/13*q**2 = 0. Calculate q.
-860
Suppose -4*g - 7*m + 5*m = -70, 2*m = 3*g - 35. Factor -20*k + 30*k**2 + 3*k**3 - 54 + 5*k**4 - 8*k**3 + 59 - g*k**3.
5*(k - 1)**4
Let t(v) = -v**3 - 18*v**2 - 2*v - 34. Let z be t(-18). Determine g so that 2*g**2 + 125*g + 1 - 123*g - 3 - z*g**3 = 0.
-1, 1
Let z(l) = -l**4 - l**3 + l**2. Let k(x) = 4*x**4 + 9*x**3 + 9*x**2 + 8*x. Let h = 699 + -702. Let b(d) = h*z(d) - k(d). Find g such that b(g) = 0.
-2, 0
Let n(k) be the second derivative of 4*k**7/63 - k**6 + 34*k**5/15 + 7*k**4 - 8*k**3 - 27*k**2 - 9985*k. Let n(b) = 0. Calculate b.
-1, -3/4, 1, 3, 9
Suppose 2*r + 4*j + 686008 = 6*r, 3*r = 4*j + 514508. Determine y so that 3610*y + 144*y**2 + 276*y