e b(r) = 0. Calculate r.
-3, -1, 0, 3, 14
Let l(j) be the second derivative of 329*j + 14/15*j**6 + 33/10*j**5 + 0 - 56/3*j**4 + 0*j**2 + 1/21*j**7 + 64/3*j**3. Determine o so that l(o) = 0.
-8, 0, 1
Let n(o) be the third derivative of o**6/180 - 14*o**5/45 + 77*o**4/36 - 50*o**3/9 - o**2 - 2*o + 1050. Factor n(j).
2*(j - 25)*(j - 2)*(j - 1)/3
Determine o, given that -151 + 82 + 5*o**2 - 170*o + 69 = 0.
0, 34
Let k(z) be the first derivative of z**4/78 + 4*z**3/13 + 36*z**2/13 - 124*z - 217. Let t(d) be the first derivative of k(d). Factor t(u).
2*(u + 6)**2/13
Suppose -y = 3*j - 17, -5*y + 8*y - 23 = -2*j. Suppose 20*m - 4*m**2 + y*m**4 + 25*m**3 - 11*m**2 + 20 - 35*m**3 = 0. What is m?
-1, 2
Factor -2 - 5079*b + 5164*b + 53*b**2 - 8*b**3 + 26.
-(b - 8)*(b + 1)*(8*b + 3)
Suppose 0 = 2*v - 7733 + 7729. Let s(q) be the second derivative of 1/12*q**3 + 0*q**v + 6*q + 0 - 1/24*q**4. Let s(w) = 0. What is w?
0, 1
Let p(q) be the third derivative of -7/30*q**4 - 2 - 11/45*q**3 + 4/225*q**5 - 26*q**2 + 0*q. Find c such that p(c) = 0.
-1/4, 11/2
Let k(v) be the first derivative of 4*v**3/3 + 40*v**2 - 1200*v - 2164. Solve k(d) = 0 for d.
-30, 10
Let y = -6539 + 6544. Let b(c) be the third derivative of -1/30*c**6 + 5*c**2 + 0 + 0*c + 1/6*c**4 + 0*c**y + 0*c**3. Factor b(p).
-4*p*(p - 1)*(p + 1)
Let c be 2/(-40)*(3/(-18))/(8 - 7). Let t(x) be the second derivative of -c*x**6 + 0*x**3 + 3/80*x**5 + 25*x + 0*x**2 + 0*x**4 + 0. Factor t(a).
-a**3*(a - 3)/4
Let c be 854120/(-397280) + (2 - 0). Let k = 3/764 - c. Solve 0 + 4/13*f - k*f**3 + 2/13*f**2 = 0.
-1, 0, 2
Let r = -272285 - -272288. Factor -2/7*o**4 + 0 + 20/7*o**r - 24/7*o**2 - 144/7*o.
-2*o*(o - 6)**2*(o + 2)/7
Let k(c) = c**2 + 7518*c + 15036. Let b be k(-2). Factor 160/7*p**3 + 0 + 0*p + 38/7*p**b - 200/7*p**2 + 2/7*p**5.
2*p**2*(p - 1)*(p + 10)**2/7
Let i(t) = -t**2 - 4755*t + 148368. Let n be i(31). Factor -4/3*c**3 - 48 - 52/3*c**n - 64*c.
-4*(c + 1)*(c + 6)**2/3
Let p(w) = -w**3 + 7*w**2 - 15*w + 14. Let q be p(4). Determine v, given that 11*v - 35*v - 25*v**q + 961 + 26*v**2 - 38*v = 0.
31
Let q(n) = n**4 + 2*n**2 + n. Let y(t) = -t**5 - 3*t**4 + 217*t**3 + 649*t**2 - 16458*t + 48020. Let b(o) = -6*q(o) + y(o). Suppose b(s) = 0. Calculate s.
-14, 5, 7
Factor 11*r**2 + 58715420 - 58715424 + 86*r + 33*r**2.
2*(r + 2)*(22*r - 1)
Let x(w) be the second derivative of -w**8/3360 - w**7/1680 + w**6/144 - w**5/80 + 67*w**3/6 + 179*w. Let p(k) be the second derivative of x(k). Factor p(u).
-u*(u - 1)**2*(u + 3)/2
Let r(q) be the second derivative of -5*q**7/56 - 11*q**6/12 - 29*q**5/16 + 45*q**4/8 + 20*q**3/3 - 20*q**2 + 1851*q. What is v in r(v) = 0?
-4, -1, 2/3, 1
Let h(z) be the third derivative of -z**7/280 - 1049*z**6/160 + 3153*z**5/80 - 3155*z**4/32 + 263*z**3/2 + 6207*z**2. Factor h(i).
-3*(i - 1)**3*(i + 1052)/4
Let c be (660/(-198))/(6/(-9)). Let n(m) be the first derivative of -5*m - 15/2*m**2 - 10/3*m**3 + c. Factor n(j).
-5*(j + 1)*(2*j + 1)
Let h(r) = -7*r**2 + 304*r + 4811. Let u(y) = -y**2 + 95*y + 51*y**2 + 17*y - 43300 + 15*y**2 - 2847*y. Let d(g) = 55*h(g) + 6*u(g). Solve d(c) = 0.
-31
Let y(a) be the third derivative of a**8/1344 + a**7/84 + a**6/18 + 25*a**4/8 + 21*a**2 + 1. Let b(j) be the second derivative of y(j). Factor b(i).
5*i*(i + 2)*(i + 4)
Let q(l) be the second derivative of -l**8/26880 - l**7/720 + 17*l**6/720 - 3*l**5/20 + 41*l**4/3 - 27*l. Let v(p) be the third derivative of q(p). Factor v(o).
-(o - 2)**2*(o + 18)/4
Factor 16/5*r + 4/5*r**3 + 0 + 16/5*r**2.
4*r*(r + 2)**2/5
Suppose -9477 = -7*u + 9080. Determine n so that -9*n + 3*n**2 + 2651 - u = 0.
0, 3
Suppose -n - 2*p + p = -1, 0 = -3*n + 4*p + 10. Let y be (-28)/n*(-8)/28. Factor 7*w**2 - y*w**2 + w**3 + 3*w**4 + 5*w**3.
3*w**2*(w + 1)**2
Let c(t) be the second derivative of t**4/18 + 20*t**3/9 - 23*t**2 - 853*t. Suppose c(r) = 0. Calculate r.
-23, 3
Let k(b) be the second derivative of -b**4/102 + 602*b**3/51 - 90601*b**2/17 - 2*b - 30. Factor k(r).
-2*(r - 301)**2/17
Find y such that -3 - 12330*y + 27 + 12398*y - 12*y**2 = 0.
-1/3, 6
Let p(j) = -j**5 + j**4. Let i = 334 - 329. Let r(l) = -9*l**5 + 9*l**4 + 4*l**3 - 4*l**2. Let q(n) = i*p(n) - r(n). Factor q(z).
4*z**2*(z - 1)**2*(z + 1)
Let o(m) = m**3 - 32*m**2 + 262*m - 283. Let p be o(19). Factor 12/5*n + 3/5*n**4 - 3/5*n**3 - 18/5*n**p + 24/5.
3*(n - 2)**2*(n + 1)*(n + 2)/5
Let l(u) = -2*u**5 + 2*u**4 - 6*u**3 - 18*u**2 - 4*u. Let a(h) = 24*h**5 - 21*h**4 + 66*h**3 + 199*h**2 + 42*h. Let z(c) = 2*a(c) + 23*l(c). Factor z(q).
2*q*(q - 2)*(q + 1)**2*(q + 2)
Let n = 144 + -229. Let x = 97 + n. Suppose 21*t**3 - 3*t**5 + 0*t**2 - 8*t**4 - 36*t**2 - 60*t**3 - x*t - 10*t**4 = 0. What is t?
-2, -1, 0
Let q(d) be the second derivative of -d**5/50 - 6*d**4 + 125*d**3 - 950*d**2 - 9*d - 30. Solve q(c) = 0 for c.
-190, 5
Let g(a) be the second derivative of -2*a**6/15 + 9*a**5/5 + 7*a**4 - 490*a**3/3 - 2*a + 1000. Factor g(p).
-4*p*(p - 7)**2*(p + 5)
Let g(m) be the third derivative of -1/6*m**5 + 13*m + 0 + 4/3*m**4 + m**2 - 4*m**3. What is d in g(d) = 0?
6/5, 2
Let u(g) be the second derivative of -g**4/66 + 76*g**3/33 + 7*g**2 + 41*g - 3. Factor u(h).
-2*(h - 77)*(h + 1)/11
Let p(z) = -25 - 44 - 13 - 53 + 6*z. Let y be p(23). Factor 36/7*l**y - 32/7 - 24/7*l**2 - 80/7*l.
4*(l - 2)*(3*l + 2)**2/7
Let g(l) be the second derivative of l**4/9 + 106*l**3/3 + 316*l**2/3 - 490*l + 2. Factor g(b).
4*(b + 1)*(b + 158)/3
Let c be (16 - (-735)/(-60)) + 168/(-96). Factor 9/4 - 3/2*v - 3/4*v**c.
-3*(v - 1)*(v + 3)/4
Suppose 3*s + 5*l = 26, 3*s = -0*s + 2*l - 2. Let p(z) = 24*z**3 + 32*z**2 + 16*z + 8. Let w(v) = -v**3 - v**2. Let t(c) = s*p(c) + 44*w(c). Factor t(d).
4*(d + 1)*(d + 2)**2
Let p be 8 + ((-4)/(-16) - (-34)/(-8)). What is g in 12*g**2 - 512 + 6*g**p + 12*g**3 - 12*g + 512 + 9*g**3 = 0?
-2, 0, 1/2
Let x be 5*(-12)/(-10) + -2. Let -4*s**2 - 8*s**4 + 5*s**4 + 7*s**x + 4*s**5 - 3*s**3 - s**3 = 0. Calculate s.
-1, 0, 1
Factor 28090/3 + 2/15*n**2 - 212/3*n.
2*(n - 265)**2/15
Let z be ((-2)/7)/(235/(-77) - -2 - 31/341). Solve 1/4*h**3 + 13/4*h**2 - 13/4 - z*h = 0.
-13, -1, 1
Let x be -5 - (-120)/10 - (-9)/((-54)/30). Let -8/3 + 0*d + 38*d**x - 56/3*d**3 = 0. Calculate d.
-1/4, 2/7, 2
Let v(m) be the second derivative of 1/9*m**4 + 1/15*m**5 + 0 - 8/3*m**2 + 147*m - 8/9*m**3. Factor v(y).
4*(y - 2)*(y + 1)*(y + 2)/3
Let s be ((-70)/(-4))/((-46)/(-92)). Find a, given that -110*a + 19*a - 60 - s*a**3 - 24*a + 40*a**3 - 50*a**2 = 0.
-1, 12
Let a(o) be the third derivative of o**5/180 + 13*o**4/18 - 2*o**2 + 67*o. Suppose a(y) = 0. What is y?
-52, 0
Let p(d) = d**2 + 580*d - 3513. Let l be p(6). Solve 3*v - 15/4*v**2 + 0 + 3/4*v**l = 0.
0, 1, 4
Let m(h) be the third derivative of -11/6*h**4 - 2*h + 0 + 2/3*h**5 + 2/3*h**3 + 150*h**2. What is a in m(a) = 0?
1/10, 1
Let z = -43003/16 + 43043/16. Factor 1/2*h**4 + 5 - z*h**3 + 13/2*h - 3/2*h**2.
(h - 5)*(h - 2)*(h + 1)**2/2
Let a be -1 - 3/(45/(-12))*5. What is m in -2*m + 5*m + 27*m**a + 35*m**2 + 0*m - 5*m**2 = 0?
-1, -1/9, 0
Find x, given that -4114/19*x + 1644/19 + 10/19*x**2 = 0.
2/5, 411
Let v(f) be the first derivative of -9*f**6/10 - 9*f**5/20 + 2*f**4 + 2*f**3 + 29*f - 40. Let q(m) be the first derivative of v(m). Factor q(z).
-3*z*(z - 1)*(3*z + 2)**2
Let p = -457 + 459. Factor 15*b + 4*b + 1858 - 2*b**2 + b**p - 1876.
-(b - 18)*(b - 1)
Factor -116*q**2 - 13456*q - 1/3*q**3 - 1560896/3.
-(q + 116)**3/3
Suppose -4*r = -9*r + 4*r. Let b(w) be the second derivative of 1/5*w**5 - 7/3*w**3 + r + 7/12*w**4 + 15*w + 3/2*w**2. Find l such that b(l) = 0.
-3, 1/4, 1
Let t = 4568 - 4564. Let l(g) be the second derivative of 1/2*g**3 + 0 + 3/2*g**2 - 3/20*g**5 + 9*g - 1/4*g**t. Factor l(y).
-3*(y - 1)*(y + 1)**2
Let m(k) = 2*k + 22. Let h be m(-8). Factor -11*b + 48*b + 3*b**3 + h*b**2 - 22*b - 24*b.
3*b*(b - 1)*(b + 3)
Let y(s) = 80*s**2 + 114*s - 236. Let m(t) = 67*t**2 + 114*t - 236. Let h(d) = 6*m(d) - 5*y(d). Factor h(x).
2*(x - 2)*(x + 59)
Let m(o) = -o**3 + 25*o**2 - 45*o - 19. Let d be m(23). Determine v so that 8*v**4 - 16*v**2 + 3*v**3 + 2*v**5 + 3*v**3 - d*v + 8*v**2 - 4*v = 0.
-2, -1, 0, 1
Suppose 4*o + 5*d - 19 = 0, 0 = o - d + 23 - 30. Let x be (-16)/3*(-36)/16. Factor -4*k**2 + o + 3 - 17 + x*k.
-4*(k - 2)*