ppose l(s) = 0. Calculate s.
-2/7, 3
Let z = -36221 + 398051/11. Let p = z + 6482/187. Solve -8/17*u - p*u**2 - 8/17 = 0 for u.
-2
Let r(o) be the third derivative of -o**7/2310 - 3*o**6/8 + 124*o**5/165 + 33*o**2 - 85*o. Factor r(j).
-j**2*(j - 1)*(j + 496)/11
Let k(f) be the third derivative of -f**6/900 - 71*f**5/225 - 55*f**4/12 - 136*f**3/5 - f**2 + 5*f - 4. Factor k(z).
-2*(z + 3)**2*(z + 136)/15
Let l(p) be the third derivative of p**5/12 + 75*p**4/8 + 270*p**3 - 438*p**2 - 4*p. Factor l(t).
5*(t + 9)*(t + 36)
Let s(y) be the second derivative of 27*y**5/20 - 61*y**4/4 - 43*y**3 - 24*y**2 + 2*y + 6. Solve s(n) = 0 for n.
-1, -2/9, 8
Let u be (-8)/(-2) - -2 - 4. Suppose -2*f + 3*k + 5 = -f, -f - 2*k + 5 = 0. Find o such that 5*o - 6*o - o**2 + f*o + 5*o**u = 0.
-1, 0
Let x(i) be the third derivative of 0*i**4 + 1/189*i**7 - 11/270*i**6 + 4/135*i**5 + 0*i**3 + 0 + 0*i - 32*i**2. Find z, given that x(z) = 0.
0, 2/5, 4
Let t(b) = 13*b**2 + 8*b - 18. Let i be t(1). Let q(y) be the first derivative of 1/12*y**i + 1/4*y - 1/4*y**2 - 16. Find j such that q(j) = 0.
1
Let n(g) = -6*g - 188. Let d be n(-37). Suppose 3*t + 25 = d. Suppose 4/7*y**4 + 0 - 4/7*y**5 + 0*y**t + 0*y**2 + 0*y = 0. Calculate y.
0, 1
Let x(w) = 2*w**2 + 11*w - 12. Let h be x(-7). Let -5*l**3 - h*l**2 + l**2 - 12*l**3 - 7*l**3 + 110*l**4 = 0. What is l?
-2/11, 0, 2/5
Suppose 11*a + 34 = -10. Let y be (-2)/a + 5*(-9)/(-30). Factor 3*n**2 - 3*n**2 - 2 + y*n**2.
2*(n - 1)*(n + 1)
Let z(a) = 2*a**2 - 2137*a - 12884. Let h be z(-6). Let -8/3 + 4/3*l**4 - h*l - 23/3*l**2 + 4*l**3 = 0. What is l?
-4, -1/2, 2
Let b(i) = 8*i + 2. Let f(p) = 3*p**2 + 372*p + 405. Let h(x) = 6*b(x) + f(x). Determine n, given that h(n) = 0.
-139, -1
Suppose 4*m + 2*n = 0, 6*n - 2*n = m. Let g(o) be the third derivative of -22*o**2 + 1/40*o**5 + 0*o**4 + m*o - 1/240*o**6 + 0 - 1/3*o**3. Factor g(s).
-(s - 2)**2*(s + 1)/2
Let x(k) = -3*k - 1. Let u(d) = -13*d - 226. Let y(l) = -u(l) - 2*x(l). Let p be y(-12). Suppose 0*q**2 - 2/11*q**3 + p*q + 0 = 0. What is q?
0
Let i(a) = 95*a**2 - 385*a. Suppose -9*j + 90 + 225 = 0. Let r(c) = -8*c**2 + 32*c. Let m(w) = j*r(w) + 3*i(w). Factor m(l).
5*l*(l - 7)
Let u = 17 + -13. Suppose -2*f + 5*s = -5*f - u, 4*s = -5*f + 2. Determine i so that 12*i**2 - i - 3*i - f - 14*i**2 + 0*i = 0.
-1
Let g(k) be the first derivative of 5*k**4/8 - 250*k**3/3 + 485*k**2 - 960*k - 5383. Factor g(w).
5*(w - 96)*(w - 2)**2/2
Let j(t) be the first derivative of 9/8*t**2 - 4 - 11/2*t + 1/12*t**3. What is n in j(n) = 0?
-11, 2
Let v(s) be the third derivative of 2*s**7/105 + 19*s**6/10 + 212*s**5/15 - 33*s**2 + 7*s. Factor v(x).
4*x**2*(x + 4)*(x + 53)
Let d(a) be the second derivative of a**6/30 + 3*a**5/10 - a**4/12 - a**3 - 2190*a. What is k in d(k) = 0?
-6, -1, 0, 1
Let r(c) = 8*c**2 - 4*c + 2. Let k = 5 + -10. Let i(z) = -z**4 - 17*z**2 + 8*z - 5. Let j(s) = k*r(s) - 2*i(s). Factor j(q).
2*q*(q - 1)**2*(q + 2)
Let r(i) be the second derivative of -5*i**7/42 + 3*i**6/2 + 3*i**5/2 - 115*i**4/6 - 115*i**3/2 - 135*i**2/2 + 1826*i. Let r(w) = 0. Calculate w.
-1, 3, 9
Let t(g) be the first derivative of -3*g**2 - 36*g - 1/12*g**3 + 33. Factor t(z).
-(z + 12)**2/4
Suppose 33*j - 18 = 48. Factor -4*z**4 - 13*z**2 + 6*z**4 + 2*z**5 + 11*z**j + 32*z**3 - 34*z**3.
2*z**2*(z - 1)*(z + 1)**2
Let k(x) be the first derivative of 114 + 1/2*x**2 - 2/3*x - 1/9*x**3. Factor k(r).
-(r - 2)*(r - 1)/3
Suppose -18*r + 19*r = -5*v + 30, -v = -r - 12. Let z(t) = 165*t - 1150. Let b be z(v). Suppose 0*x**2 + 0*x + 0*x**4 + 0*x**3 + 2/13*x**b + 0 = 0. What is x?
0
Let f(q) = -49*q**4 + 75*q**3 + 986*q**2 + 1136*q + 360. Let o(t) = 48*t**4 - 75*t**3 - 982*t**2 - 1137*t - 360. Let a(p) = 3*f(p) + 4*o(p). Factor a(v).
5*(v - 6)*(v + 3)*(3*v + 2)**2
Suppose -4*o - 34 = 2*d, -192*d + 191*d + 4*o + 43 = 0. Factor -14/3*l**2 + 2/3*l**d + 32/3 - 20/3*l.
2*(l - 8)*(l - 1)*(l + 2)/3
Let y be -30 + 38 - (-1)/(1/2). Suppose -125 = y*u - 155. Solve -u*z**2 + 6/5*z + 0 = 0 for z.
0, 2/5
Suppose -111*h + 75*h = 109*h. Let m(r) be the third derivative of 1/60*r**5 + 0*r + 1/480*r**6 + 9*r**2 - 1/96*r**4 + h - 1/6*r**3. Factor m(c).
(c - 1)*(c + 1)*(c + 4)/4
Let t be -3 + 0 + (2834/(-66599) - 1271/(-47)). Factor -2/3*p**3 - 22/3*p**2 - 16*p + t.
-2*(p - 1)*(p + 6)**2/3
Let j(q) = 36*q**2 - 204*q - 669. Let n be j(8). Factor -9/7*h**5 + 33/7*h**4 + 0*h - 12/7*h**2 + 0 - 24/7*h**n.
-3*h**2*(h - 2)**2*(3*h + 1)/7
Let b(m) be the third derivative of 8/5*m**5 + 0*m**3 + m**6 - m**2 + 0*m - 55 - 1/28*m**8 + 16/105*m**7 + 5/6*m**4. Suppose b(z) = 0. Calculate z.
-1, -1/3, 0, 5
Let w(m) be the first derivative of 8/7*m + 1/14*m**4 - 4/7*m**2 - 2/21*m**3 + 85. Factor w(s).
2*(s - 2)*(s - 1)*(s + 2)/7
Let d(j) be the second derivative of -j**5/20 + 11*j**4/6 - 23*j**3/6 + 23*j**2 + j + 74. Let r be d(21). Solve -1/2*h**2 - 8 - r*h = 0 for h.
-4
Let g(y) be the third derivative of -y**5/210 - 13*y**4/7 + 12*y**2 - 6. Factor g(k).
-2*k*(k + 156)/7
Suppose 46/13*z**2 - 2/13*z**3 - 254/13*z + 210/13 = 0. Calculate z.
1, 7, 15
Suppose 158*w - 4811 = 5617. Factor w + 336*f + 75/2*f**3 + 885/2*f**2.
3*(f + 11)*(5*f + 2)**2/2
Let s(m) be the second derivative of 4*m**6/75 + 19*m**5/5 + 712*m**4/15 - 152*m**3/3 + 10092*m. Suppose s(z) = 0. Calculate z.
-38, -10, 0, 1/2
Find z such that 75*z**3 - 126*z**2 + 3*z**5 + 3201*z**4 - 3153*z**4 + 0*z**5 = 0.
-14, -3, 0, 1
Let c be -9*(-1 + 2)/(-3). Factor 85*x**2 + 45*x**4 - 580*x**2 + 95*x**2 + 30*x**c - 45 - 270*x.
5*(x - 3)*(x + 3)*(3*x + 1)**2
Let q(m) be the first derivative of m**6/1800 + m**5/40 + 7*m**4/60 - 121*m**3/3 + 30. Let v(o) be the third derivative of q(o). Solve v(n) = 0 for n.
-14, -1
Let -2504/11*k**2 - 2690/11*k**4 + 416/11*k + 50/11*k**5 + 4728/11*k**3 + 0 = 0. Calculate k.
0, 2/5, 1, 52
Let g(s) = 8*s**3 + 4*s**2 - 6*s + 6. Suppose 231*u + 7 = 232*u. Let a(p) = 23*p**3 + 16*p**2 - 16*p + 19. Let r(q) = u*g(q) - 2*a(q). Solve r(o) = 0 for o.
-1, 2/5, 1
Let k(t) be the second derivative of t**7/17640 + t**6/140 + 27*t**5/70 + 13*t**4/12 - 3*t - 5. Let s(l) be the third derivative of k(l). Factor s(a).
(a + 18)**2/7
Let z(w) be the second derivative of -25/12*w**4 + 0 - 10*w**2 - 20/3*w**3 - 1/4*w**5 + 37*w. Factor z(u).
-5*(u + 1)*(u + 2)**2
Let q be (-77)/(-210) + 46/12 + -4. Find t, given that -q*t**3 - 2/5*t**2 + 0 - 1/5*t = 0.
-1, 0
What is y in 2*y**3 - 2*y**2 + 8/5 - 2/5*y**5 - 8/5*y + 2/5*y**4 = 0?
-2, -1, 1, 2
Let n(l) = -7*l - 116. Let h(z) = 2*z + 29. Let o(w) = 9*h(w) + 2*n(w). Let k be o(-7). Solve -2*c**2 + 2*c + 2*c**2 - c**2 - k = 0 for c.
1
Let u(m) be the third derivative of 11/15*m**5 + 0 - 1/30*m**6 + 0*m**3 - 5/3*m**4 + 0*m - 103*m**2. Determine j so that u(j) = 0.
0, 1, 10
Let n(k) be the second derivative of -k**5/80 - 19*k**4/48 + 387*k**3/8 + 25515*k**2/8 + 2496*k. Factor n(f).
-(f - 35)*(f + 27)**2/4
Let t(v) be the first derivative of -v**3 - v**2 + 255. Let c(j) = 12*j**2 + 9*j. Let o(l) = -2*c(l) - 9*t(l). Factor o(g).
3*g**2
Let n = -32108/6327 + 3880/703. Suppose 0 + n*j**4 + 0*j + 32/3*j**3 + 92/9*j**2 = 0. What is j?
-23, -1, 0
Let s(p) = -p**3 + p**2 + 7*p + 1. Let z(b) = 5*b**3 + 626*b**2 - 101150*b + 394378. Let m(k) = 6*s(k) + z(k). Solve m(o) = 0.
4, 314
Let 28066*m**2 - 56119*m**2 - 835*m + 28058*m**2 - 6090 = 0. What is m?
-7, 174
Let i = -404171/3 - -134724. Factor 1/6*u - i + 1/3*u**2 - 1/6*u**3.
-(u - 2)*(u - 1)*(u + 1)/6
Let f(q) be the second derivative of -q**4/54 + 364*q**3/27 - 121*q**2/3 - 222*q + 1. Find l, given that f(l) = 0.
1, 363
Let p = 6668488/5 + -1333696. Factor 0 - p*n - 2/5*n**2.
-2*n*(n + 4)/5
Let s(v) = 3*v - 6. Let u be s(3). Let b(k) = -24*k - 66. Let c be b(-3). Let 2*j**2 - u*j - j - 4*j + c*j = 0. What is j?
0, 1
Find a such that 15/2*a**3 + 117/2*a**2 + 0 - 1/2*a**4 + 189/2*a = 0.
-3, 0, 21
Let z be (1180/885)/(4/15). Factor -16*t**3 - 2/3*t**z - 32/3*t + 64/3*t**2 + 0 + 16/3*t**4.
-2*t*(t - 2)**4/3
Suppose -k + 81 = 8*k. Suppose -3*w - 18 = -k*w. Factor -3*z**3 - 10*z**w + 28*z**2 - 8*z - 7*z**3.
-4*z*(z - 1)*(5*z - 2)
Let g be ((-63)/42)/((-171)/120). Let f = 164/133 + g. Factor -44/7*k**2 - 48/7*k - f*k**3 - 18/7 - 2/7*k**4.
-2*(k + 1)**2*(k + 3)**2/7
Let v(r) = -20*r**4 + 32*r**3 + 36*r**2 + 72*r + 44. Let