cond derivative of i**6/2700 - i**5/300 - 41*i**3/6 - 3*i + 11. Let j(u) be the second derivative of m(u). Suppose j(o) = 0. What is o?
0, 3
Let z(c) be the first derivative of 0*c + 1/240*c**6 - 1/8*c**4 - 1/80*c**5 - 6*c**3 - 13 + 0*c**2. Let p(d) be the third derivative of z(d). Factor p(o).
3*(o - 2)*(o + 1)/2
Suppose 53*a - 204 = -49*a. Let o(i) be the first derivative of -1/5*i**a - 4/15*i**3 - 13 + 0*i - 1/10*i**4. What is k in o(k) = 0?
-1, 0
Suppose 4*n + 5*x - 353 = 0, -2*n = -6*x + 9*x - 177. Let c = -77 + n. Solve 6 + 2*i**2 - 5 - 13 + c*i = 0.
-6, 1
Let x(q) = -q**3 - 7*q**2 - 5*q - 5. Let b be x(-7). Find f such that -424*f**2 - 4*f**5 - 135 - 212*f**3 - 384*f - 48*f**4 - 23 + b = 0.
-4, -2, -1
Suppose 178*z - 667 + 133 = 0. Suppose -10*l**3 - 3 - 11*l - 1/3*l**5 - z*l**4 - 46/3*l**2 = 0. Calculate l.
-3, -1
Solve -114075*f + 585/2*f**2 - 1/4*f**3 + 14829750 = 0 for f.
390
Let f(l) be the first derivative of -l**4/10 - 206*l**3/15 + 318*l**2/5 + 7178. Factor f(b).
-2*b*(b - 3)*(b + 106)/5
Let y(n) be the first derivative of -n**6/12 + 9*n**5/10 - 13*n**4/4 + 3*n**3 + 27*n**2/4 - 27*n/2 + 1224. Factor y(j).
-(j - 3)**3*(j - 1)*(j + 1)/2
Let i(b) = 32*b**3 + 110*b**2 + 114*b + 38. Let t(c) = c**2 - 1. Let z = 61 - 59. Let o(a) = z*i(a) + 4*t(a). Let o(d) = 0. Calculate d.
-2, -3/4
Solve -171*r - 54*r**2 - 378*r**2 - r**4 - 801*r - 39*r**3 = 0.
-18, -3, 0
Suppose -4*j + 5*q - 45 = 0, 2814*q + 18 = -5*j + 2816*q. Factor b**2 + 2/7*b + j.
b*(7*b + 2)/7
Let t(h) = -1326*h - 30496. Let o be t(-23). Factor 8/7 + 26/7*r**o - 34/7*r.
2*(r - 1)*(13*r - 4)/7
Let d = 468761 + -468758. Factor -2*z + 2 - 1/2*z**2 + 1/2*z**d.
(z - 2)*(z - 1)*(z + 2)/2
Let q = 35 + -28. Let p(v) be the first derivative of -10*v**4 + 3 + 15*v**4 - 4*v**3 - 4*v**2 - 6*v**4 - q. Suppose p(b) = 0. What is b?
-2, -1, 0
Let r be (-22)/33 + 5 + -20 + 34. Factor 15*q**2 + 10/3 - r*q.
5*(q - 1)*(9*q - 2)/3
Find l, given that -7392*l + 118580/3 - 101*l**2 - 1/3*l**3 = 0.
-154, 5
Suppose -90 = 11*g - 41*g. Suppose 0 = -q - 4*d + 14, q + 1 = 2*d - g. Determine l, given that 2/3 - 7/3*l**3 + 1/3*l - 2*l**q - 2/3*l**4 = 0.
-2, -1, 1/2
Let d(g) be the first derivative of 105 - 175/6*g**6 + 0*g - 87*g**5 + 155/2*g**4 + 0*g**2 + 40*g**3. Let d(q) = 0. What is q?
-3, -2/7, 0, 4/5
Let k(h) be the second derivative of -h**5/80 - 7*h**4/24 - 23*h**3/24 + 55*h**2/4 - 4012*h. Factor k(l).
-(l - 2)*(l + 5)*(l + 11)/4
Let w(i) = i**3 - 9*i**2 + 16*i - 5. Let x be w(7). Let g be x - 2/(12/30). Factor 2/13*u - 4/13*u**3 - 2/13 + 4/13*u**2 + 2/13*u**5 - 2/13*u**g.
2*(u - 1)**3*(u + 1)**2/13
Factor -27*u**3 + 74 + 6*u + 62*u**2 + 133*u - u**4 - 306 + 0*u**4 - 31*u.
-(u - 2)**2*(u + 2)*(u + 29)
Factor 3456 - 162/5*a**2 + 864/5*a + 4/5*a**3.
2*(a - 24)**2*(2*a + 15)/5
Suppose -l + 4*h - 16 = 0, -2*l - 8*h = -9*h + 4. Suppose 4*s**2 + 0*s**2 + l + 7*s - 3*s**2 - 3*s + 3 = 0. Calculate s.
-3, -1
Let p(t) = 5*t**2 + 31*t - 7. Let d be p(-11). Determine l, given that -48*l**3 + d*l**2 + 3*l**4 + l - 68*l**2 - 81 + 47*l + 19 - 130 = 0.
-1, 1, 8
Let h(t) be the second derivative of t**4/30 - 12*t**3/5 - 76*t**2/5 - 712*t. Factor h(w).
2*(w - 38)*(w + 2)/5
Let g(h) be the first derivative of 3*h**4 - 100*h**3/3 + 48*h**2 + 112*h + 1116. Find x such that g(x) = 0.
-2/3, 2, 7
Let u be (8/76 - (-50370)/(-4161)) + 118/7. Factor -40/7*s**2 + u*s - 6/7.
-2*(4*s - 1)*(5*s - 3)/7
Let r = -136/115 - -387/230. Factor r*i - 2 - 1/2*i**3 + 2*i**2.
-(i - 4)*(i - 1)*(i + 1)/2
Let q(f) be the second derivative of 0*f**2 + 0*f**3 - 2/15*f**6 - 3*f + 9/5*f**5 - 68 + 0*f**4. Factor q(a).
-4*a**3*(a - 9)
Let z(h) be the third derivative of -h**7/210 + 7*h**6/60 - 3*h**5/5 + 17*h**4/12 - 11*h**3/6 + 3220*h**2. Factor z(w).
-(w - 11)*(w - 1)**3
Let -4/7*y**2 - 80 - 108/7*y = 0. What is y?
-20, -7
Suppose -36/5*w + 3/5*w**3 + 16 - 3/5*w**5 - 136/5*w**2 + 4*w**4 = 0. Calculate w.
-2, -1, 2/3, 4, 5
Let q(u) be the second derivative of -1/4*u**5 + 5/126*u**7 + 0 + 24*u + 5/9*u**3 + 0*u**2 + 1/18*u**6 - 5/36*u**4. Determine n so that q(n) = 0.
-2, -1, 0, 1
Let k = -838 + 3423. Factor -k*m**2 - 3582*m - 5*m**4 - 6487 - 4398*m - 733 - 210*m**3.
-5*(m + 2)**2*(m + 19)**2
Let x(f) be the first derivative of 0*f**2 - 33 - 1/9*f**4 + 4/9*f**3 + 31*f. Let n(i) be the first derivative of x(i). Determine y so that n(y) = 0.
0, 2
Let i(a) be the third derivative of 7*a**4/24 - 11*a**3/2 - 49*a**2. Let s be i(5). Factor -70 + 7*v**2 - 25*v + s*v**2 - 4*v**2.
5*(v - 7)*(v + 2)
Let l(g) be the first derivative of -3*g**5/5 + 15*g**4/2 + 37*g**3 + 39*g**2 - 1805. Determine s, given that l(s) = 0.
-2, -1, 0, 13
Let u(y) be the first derivative of 4*y**3/9 + 10592*y**2/3 + 28047616*y/3 + 11852. Factor u(j).
4*(j + 2648)**2/3
Let c(i) be the second derivative of 2*i**7/189 - 2*i**6/135 - i**5/9 + 5*i**4/27 + 8*i**3/27 - 8*i**2/9 - 1127*i. Find l, given that c(l) = 0.
-2, -1, 1, 2
Let p = 10405/3 + -3467. Let y(t) be the first derivative of p*t + 2/9*t**3 + 7/6*t**2 - 1/12*t**4 - 32. Factor y(b).
-(b - 4)*(b + 1)**2/3
Let k(r) be the first derivative of 3/4*r**4 - 173 + 0*r**3 + 0*r - 27/2*r**2. Let k(v) = 0. What is v?
-3, 0, 3
Let s(j) = -10*j**5 - 13*j**4 + 10*j**3 + 26*j**2 - 10*j - 3. Let w(a) = -a**5 - a**4 + 2*a**2 - a + 1. Let b(d) = -4*s(d) + 20*w(d). Let b(g) = 0. Calculate g.
-8/5, -1, 1
Let r(v) be the first derivative of 2*v**2 - 1/4*v**4 + 0*v - 3 + 0*v**3. Solve r(h) = 0.
-2, 0, 2
Let l(n) be the third derivative of -21*n**2 + 1/14*n**3 + 0 - 1/140*n**5 + 0*n + 1/168*n**4 - 1/840*n**6. Factor l(b).
-(b - 1)*(b + 1)*(b + 3)/7
Let i(n) be the first derivative of -2*n**3/3 - 4760*n**2 - 11328800*n + 357. Solve i(g) = 0 for g.
-2380
Let f(l) be the first derivative of -l**4/38 + 28*l**3/57 - 65*l**2/19 + 200*l/19 - 785. Factor f(s).
-2*(s - 5)**2*(s - 4)/19
Suppose 0 = 9*z - 0*z + 42 - 78. Let f(r) be the second derivative of 1/66*r**z - 8/33*r**3 + 0 + 16/11*r**2 + 17*r. Let f(s) = 0. What is s?
4
Let r(d) = -d**3 + 36*d**2 - 461*d + 718. Let w(f) = -f**3 + 37*f**2 - 455*f + 719. Let k(m) = -3*r(m) + 4*w(m). What is p in k(p) = 0?
2, 19
Let a(z) = -17*z**2 - 219*z + 1049. Let q(b) = 9*b**2 + 111*b - 534. Let x(j) = -6*a(j) - 11*q(j). Suppose x(k) = 0. Calculate k.
-35, 4
Solve 3/5*r**3 + 43/5*r + 22/5*r**2 + 12/5 = 0.
-4, -3, -1/3
Let p(g) be the first derivative of -g**6/1080 - g**5/360 + 5*g**4/18 + 76*g**3/3 - g - 15. Let o(r) be the third derivative of p(r). Factor o(j).
-(j - 4)*(j + 5)/3
Let y = 1049/4543 + 249/4543. Let 8/7*c**2 + 22/7*c + 12/7 - y*c**3 = 0. What is c?
-1, 6
Let j = 32911/15 - 32809/15. Factor -j*o**3 + 2/5*o**4 - 56*o + 156/5*o**2 + 176/5.
2*(o - 11)*(o - 2)**3/5
Suppose x + 3*x + v = -128, 0 = v. Let a = 34 + x. Suppose -3*u**2 - 31*u + 87*u + 2*u**a - 196 - 3*u**2 = 0. Calculate u.
7
Let o = 279656 + -279644. Factor 213*z**3 + 1006*z**2 + 1836*z + 1/5*z**5 + o*z**4 + 5832/5.
(z + 2)**3*(z + 27)**2/5
Let r be (7/((-63)/(-45)))/1. Suppose -f - 2*a + r*a = -5, -5 = -5*f - 5*a. Factor 12/13 + 2/13*z**f - 10/13*z.
2*(z - 3)*(z - 2)/13
Factor 528*v - 128*v**4 + 128*v**2 - 78*v**4 - 60*v**3 + 210*v**4.
4*v*(v - 11)*(v - 6)*(v + 2)
Let n(o) be the second derivative of -2*o**6/15 + o**5 - o**4/3 - 14*o**3 + 36*o**2 + 103*o - 5. Factor n(i).
-4*(i - 3)**2*(i - 1)*(i + 2)
Factor 69/2 + 10*a - 1/2*a**2.
-(a - 23)*(a + 3)/2
Let i(t) = -t**2 - 1. Let b(u) = 5*u + 34. Let a be b(-7). Let k(p) = 6*p**2 - 2*p + 6. Suppose -2*j + 11*j = -45. Let r(c) = a*k(c) + j*i(c). Factor r(v).
-(v - 1)**2
Let t be ((-301587)/38)/111 + 73. Solve -1/6*m**2 + t + 4/3*m = 0.
-1, 9
Let d = -5874 - -5877. Let k(b) be the first derivative of -1/15*b**6 + 3/10*b**4 + 2/5*b**2 - 2/3*b**d + 18 + 2/25*b**5 + 0*b. Suppose k(z) = 0. What is z?
-2, 0, 1
Let r(w) be the second derivative of -w**4/30 + 23*w**3/15 + 84*w**2 + 4*w + 504. Determine i so that r(i) = 0.
-12, 35
Let 8/3*i + 0 + 2/21*i**3 - 58/21*i**2 = 0. What is i?
0, 1, 28
Solve 0 - 33/7*k**2 + 9/7*k**4 + 0*k - 96/7*k**3 = 0 for k.
-1/3, 0, 11
Suppose i = 167*p - 163*p - 25, p - 3*i - 53 = 0. Determine k, given that 0*k**3 - 34/13*k - 12/13 + 8/13*k**4 - 28/13*k**p + 2/13*k**5 = 0.
-3, -1, 2
Suppose -615294*y**2 + 1819 + 305*y + 615289*y**2 + 1331 = 0. Calculate y.
-9, 70
Let x(g) =