ve of -4*t**6/5 - 273*t**5/10 - 2475*t**4/8 - 9801*t**3/16 + 107811*t**2/8 + 164*t + 11. Factor y(c).
-3*(c - 2)*(4*c + 33)**3/8
Let x(w) be the second derivative of 7/12*w**3 + 0 - 1/15*w**6 + 19/24*w**4 + 1/8*w**5 + 33*w - 3/4*w**2. Suppose x(u) = 0. Calculate u.
-1, 1/4, 3
Let y(k) be the third derivative of 13*k**6/192 + 21*k**5/160 - k**4/96 - 5*k**2 - 141. Determine c, given that y(c) = 0.
-1, 0, 2/65
Let m = 1612 - 1420. Suppose -m = -12*j - 36*j. Solve 6/17*r**3 - 2/17*r**2 + 0*r - 6/17*r**5 + 0 + 2/17*r**j = 0 for r.
-1, 0, 1/3, 1
Let f be 1/4 - (-44)/16. Let r be 93/21 - (-36)/63. Factor 7*w**f - 7*w**3 + 0*w**4 - 20*w**2 + r*w**4.
5*w**2*(w - 2)*(w + 2)
Let u(z) be the third derivative of -z**8/84 + 14*z**7/75 - 13*z**6/15 + 92*z**5/75 + 4*z**4/5 - 195*z**2. Find o such that u(o) = 0.
-1/5, 0, 2, 6
Let i(k) be the first derivative of 1/2*k**2 - 1/5*k**5 - k + 2/3*k**3 + 1/6*k**6 - 1/2*k**4 + 1. Determine r so that i(r) = 0.
-1, 1
Let c(h) be the second derivative of h**4/78 - 19*h**3/39 + 84*h**2/13 + 3398*h. Find k, given that c(k) = 0.
7, 12
Let b(f) = 3*f**4 + 72*f**3 + 296*f**2. Let h(a) be the first derivative of -3*a**5/5 - 75*a**4/4 - 295*a**3/3 - 231. Let c(k) = -5*b(k) - 4*h(k). Factor c(o).
-3*o**2*(o + 10)**2
Suppose -174*f - 169*f + 256*f + 348 = 0. Factor -1/3 - 2*r**3 + 5/3*r**f + 2*r - 4/3*r**2.
(r - 1)**2*(r + 1)*(5*r - 1)/3
Let j = -27 + 36. Factor -18*p + 9 + 12*p**2 - j - p**3 - p**3.
-2*p*(p - 3)**2
Suppose 0 = 8053*u - 3957*u. Factor 0*s + u + 0*s**2 + 24/5*s**3 + 28/5*s**4 + 4/5*s**5.
4*s**3*(s + 1)*(s + 6)/5
Let m(d) = -d**3 + 6*d**2 + 73*d - 453. Let t be m(8). Solve -5*a - 1/4*a**t + 3 + 9/4*a**2 = 0 for a.
1, 2, 6
Let a = 252 - 240. Let z be (a/(-42))/(-1 - 3/21). Determine g, given that -7/4*g**5 + 9/4*g - 7/2*g**2 - z - 1/2*g**3 + 15/4*g**4 = 0.
-1, 1/7, 1
Let f(h) be the third derivative of -h**6/120 - 19*h**5/20 + 51*h**4/4 - 124*h**3/3 - 5304*h**2. Suppose f(d) = 0. What is d?
-62, 1, 4
Determine l so that -2/11*l**2 - 478/11 + 480/11*l = 0.
1, 239
Factor 135/2*p**3 + 105*p**2 + 18 + 285/4*p + 15*p**4 - 3/4*p**5.
-3*(p - 24)*(p + 1)**4/4
Let m(c) be the first derivative of -3*c**4/8 + 4*c**3/3 + 87*c**2/4 + 14*c + 987. Factor m(u).
-(u - 7)*(u + 4)*(3*u + 1)/2
Find m, given that 19*m**2 - 40*m**2 - 46 + 12*m**2 - 84*m + 541 + 6*m**2 = 0.
-33, 5
Suppose -1274 = 339*o - 734*o - 89. Find c such that -10/3*c**4 + 0*c + 0 - 46/21*c**o + 16/21*c**2 - 8/21*c**5 = 0.
-8, -1, 0, 1/4
Let z(p) be the third derivative of p**8/2688 - p**7/280 + p**6/240 + p**5/80 - 5*p**4/192 + 1263*p**2. Factor z(q).
q*(q - 5)*(q - 1)**2*(q + 1)/8
Let g(t) be the first derivative of -21*t**5/5 + 3*t**4 + 21*t**3 + 3*t**2 - 24*t + 193. Suppose g(w) = 0. Calculate w.
-1, 4/7, 2
Suppose -32*q - 11*q = -42183. Let c = -976 + q. Determine l, given that -4/7*l**2 + 8/7*l - 44/7*l**4 - 44/7*l**3 + 0 - 12/7*l**c = 0.
-2, -1, 0, 1/3
Let a be (-33)/(-9)*(9/1)/3. Find d, given that 4*d**2 - 26*d - a*d + 49*d = 0.
-3, 0
Factor -755 + 552*q + 624*q + 0*q**2 - 3*q**2 - 900*q + 2210.
-3*(q - 97)*(q + 5)
Factor 399 - 825 + 426 + 21*h**2 - 30*h**3 + 54*h + 3*h**4.
3*h*(h - 9)*(h - 2)*(h + 1)
Factor 3/8*w**3 + 333/8*w - 93/8*w**2 - 243/8.
3*(w - 27)*(w - 3)*(w - 1)/8
Let f(i) = 2*i**2 - 9*i + 17. Let a be f(2). Suppose -7 = a*s - 35. Factor -3*g**5 + 4*g + 4*g**3 + 5*g**5 - s*g - 6*g**4.
2*g**3*(g - 2)*(g - 1)
Let z(j) = -2*j**3 + 3*j**2 + 3*j - 5. Let s be z(1). Let p be s*30/60*(-1)/4. Let -3/8*k**2 + 5/8*k - 1/4 - 1/8*k**3 + p*k**4 = 0. What is k?
-2, 1
Let n(i) be the first derivative of -i**5/45 - i**4/12 + i**3/27 + i**2/6 - 778. Let n(r) = 0. Calculate r.
-3, -1, 0, 1
Suppose -7*k + 14*k = 294. Let h = k + -40. Let -z**2 + 170 + 4*z**h + 0*z**2 - 54*z + 73 = 0. What is z?
9
Let w(g) = -4*g**2 - 168*g + 8. Suppose -3*a - 11 = -y, -4*y - 12 + 39 = 5*a. Let t(q) = q**2 + 56*q - 3. Let f(o) = y*t(o) + 3*w(o). Factor f(u).
-4*u*(u + 14)
Let x(b) be the first derivative of -6*b**3 + 7*b**2 + b - 103. Let l(d) = -d**3 - d**2 - 2*d + 1. Let y(c) = 5*l(c) - 5*x(c). Let y(s) = 0. What is s?
0, 1, 16
Let n(y) = -60*y - 3955. Let v be n(-66). Let t(m) be the first derivative of -27 + 0*m**2 + 3/4*m**4 + 0*m + 2/5*m**v + 1/3*m**3. Factor t(u).
u**2*(u + 1)*(2*u + 1)
Let m(y) = y**3 + 47*y**2 - 215*y - 558. Let k be m(-51). Find a, given that 25/8*a**4 - 33/4*a**2 + 5/8*a**k + 11/2*a - 1 = 0.
-2, 2/5, 1
Let z(o) be the second derivative of o**7/147 + 2*o**6/21 + 31*o**5/70 + 11*o**4/21 - 32*o**3/21 - 32*o**2/7 + 2103*o. Determine h, given that z(h) = 0.
-4, -2, -1, 1
Let n(i) be the third derivative of i**5/210 - i**4/21 - i**3 - 1152*i**2. Determine b so that n(b) = 0.
-3, 7
Let k be 2808/10530*6/4*1. Suppose -4/5 + 4/5*n**2 - k*n + 2/5*n**3 = 0. Calculate n.
-2, -1, 1
Let z be (114/(-15) - 40/(-4))*(6 - 531/96). Factor -6*j - 15/8*j**2 + z*j**3 + 9/2.
3*(j - 3)*(j + 2)*(3*j - 2)/8
Let b(j) = j**2 - 3*j - 5. Let w = 11 - 13. Let o be b(w). Suppose -4*c**2 - o - 3*c + 1 - 5*c = 0. Calculate c.
-1
Let d(c) = -23*c**3 - 2610*c**2 - 285138*c - 282687. Let x(j) = 4*j**3 + 435*j**2 + 47523*j + 47116. Let r(s) = 6*d(s) + 34*x(s). Factor r(i).
-2*(i + 1)*(i + 217)**2
Solve 4*a**4 - 313*a - 5*a + 168*a**3 + 156*a - 315*a - 195*a - 16*a**2 = 0 for a.
-42, -2, 0, 2
Let l(i) be the first derivative of -i**4/14 + 368*i**3 - 710976*i**2 + 610491392*i - 260. Suppose l(v) = 0. Calculate v.
1288
Let j = -35547/10 - -3558. Let z = j - 9/5. Factor -z*v**2 + 9*v - 15/2.
-3*(v - 5)*(v - 1)/2
Let k(d) be the third derivative of -d**5/54 + 133*d**4/108 - 200*d**3/27 - 6*d**2 - 96. Factor k(n).
-2*(n - 25)*(5*n - 8)/9
Let g(h) = -h - 22. Let s be g(-24). Let d be (-375)/(-108) + -3 + (-2)/9. Determine x so that 0*x + 1/4 - d*x**s = 0.
-1, 1
Let v(s) be the third derivative of s**6/60 + 143*s**5/30 - s**4/12 - 143*s**3/3 - 2175*s**2. Solve v(i) = 0.
-143, -1, 1
Let h(n) = -7*n**2 + n. Let b(z) = 17*z**2 - 77*z - 78. Let v(p) = b(p) + 2*h(p). Suppose v(d) = 0. What is d?
-1, 26
Factor 10*c - 26/5*c**2 - 74/15 + 2/15*c**3.
2*(c - 37)*(c - 1)**2/15
Let d(x) = -31*x**2 - 728*x + 732. Let r(s) = 164*s**2 + 3640*s - 3660. Let k(a) = 16*d(a) + 3*r(a). Determine t, given that k(t) = 0.
-183, 1
Let y = 21672627462448/20145 + -1075831581. Let i = y + 5/4029. Factor -686/15*q**3 - 16/15 + i*q**2 + 56/15*q.
-2*(7*q - 2)**2*(7*q + 2)/15
Let s(h) = 5*h**4 - 17*h**2 - 7*h - 2. Let l(m) = 5*m**4 - 16*m**2 - 6*m - 1. Let u = -137 + 131. Let p(n) = u*s(n) + 7*l(n). Factor p(x).
5*(x - 1)**2*(x + 1)**2
Let w(d) = 20*d**3 - 1081*d**2 + 58*d - 214. Let h be w(54). Factor 10/3*u**2 + h*u + 0 - 4/3*u**3.
-2*u*(u - 3)*(2*u + 1)/3
Let z(c) be the second derivative of c**7/10080 - c**6/720 + c**5/120 - 3*c**4/2 - c**3/2 + 110*c. Let l(s) be the third derivative of z(s). Factor l(v).
(v - 2)**2/4
Let w(i) be the first derivative of i**6/1800 + i**5/200 - i**4/30 + 31*i**3 - 32. Let y(s) be the third derivative of w(s). Factor y(t).
(t - 1)*(t + 4)/5
Let r = -22558 - -22562. Let v(h) be the first derivative of -2/15*h**6 - 24 + 4/15*h**3 + 1/5*h**r + 0*h + 0*h**2 - 4/25*h**5. Solve v(m) = 0.
-1, 0, 1
Suppose -1923/2*u**2 + 1990*u + 650 - 7/2*u**4 + 125*u**3 = 0. What is u?
-2/7, 5, 26
Let u(w) be the first derivative of -5*w**6/6 + 75*w**5 - 7215*w**4/4 + 6845*w**3/3 + 286. Factor u(l).
-5*l**2*(l - 37)**2*(l - 1)
Let y(h) = 555*h - 31635. Let s be y(57). Factor 279/2*q**3 + 89373/2*q + s - 8649/2*q**2 - 3/2*q**4.
-3*q*(q - 31)**3/2
Let m(b) = 686*b - 62424. Let l be m(91). Suppose 0 + 0*o - 2/13*o**3 + 2/13*o**l = 0. What is o?
0, 1
Let f(s) be the second derivative of 5*s**4/12 + 635*s**3/6 + 315*s**2 + 712*s. Factor f(n).
5*(n + 1)*(n + 126)
Let -3/4*m**3 - 6367248 - 459*m**2 - 93636*m = 0. Calculate m.
-204
Suppose 0 = -f - 3*o + 15, 6*f - 9*f + 17 = -5*o. What is k in 0*k**2 + f*k - 130*k + 16*k**3 - 17*k**3 - 22*k**2 = 0?
-11, 0
Let h(z) be the first derivative of 9/2*z**2 - 21/10*z**5 + 9/2*z**4 + 25/2*z**3 + 0*z + 7. What is a in h(a) = 0?
-1, -2/7, 0, 3
Determine v, given that 1586/3 - 148/3*v + 2/3*v**2 = 0.
13, 61
Let l(y) be the first derivative of 20/3*y**2 - 20*y - 5/9*y**3 - 74. Solve l(x) = 0.
2, 6
Let y = 5 - -88. Let x be (-142)/(-18) - 12/(-108). Factor 2 - x + y*m - 2*m**4 - 97*m +