*l**8 - 6*l**2 + 0*l**3. Suppose j(k) = 0. Calculate k.
0, 1, 7
Let a(z) be the third derivative of z**8/168 + z**7/525 - 13*z**6/150 - 2*z**5/75 + 2*z**4/5 + 379*z**2 + z. Let a(i) = 0. What is i?
-2, -6/5, 0, 1, 2
Factor -432 - 2*r**4 + 2*r**3 - 2*r**4 + 32*r**3 + 36*r**2 - 432*r - 2*r**3.
-4*(r - 6)**2*(r + 1)*(r + 3)
Let h(w) be the third derivative of w**7/280 + w**6/32 + 3*w**5/40 + 1055*w**2. Solve h(u) = 0 for u.
-3, -2, 0
Let k be -5*(-1 + (-141)/(-165)). Let g = -33/11629 - -23621/127919. Factor k - g*o**2 + 0*o.
-2*(o - 2)*(o + 2)/11
Let c(t) be the second derivative of t**8/3360 + t**7/1260 - t**6/72 + t**5/20 + 79*t**4/12 + 28*t. Let g(o) be the third derivative of c(o). Factor g(v).
2*(v - 1)**2*(v + 3)
Let c(q) be the third derivative of -2 + 0*q**3 + 1/60*q**6 + 0*q + 2*q**2 - 5/36*q**5 + 1/630*q**7 + 1/4*q**4. Factor c(l).
l*(l - 2)*(l - 1)*(l + 9)/3
Let n(o) = 4*o**3 - 270*o**2 + 784*o - 2. Let c(g) = -g**2 + 8*g - 1. Let k(h) = 2*c(h) - n(h). Factor k(t).
-4*t*(t - 64)*(t - 3)
Let b = 25391/44422 - 1/6346. Let o(s) be the second derivative of b*s**3 + 1/42*s**4 + 0 + 17*s + 36/7*s**2. Factor o(d).
2*(d + 6)**2/7
Let k(b) be the third derivative of 0 - 75*b**2 + 0*b + 1/450*b**5 - 1/6*b**4 + 29/45*b**3. Factor k(a).
2*(a - 29)*(a - 1)/15
Let h = -1015144/11 + 92286. Suppose -2/11*p**3 - 4/11*p**2 + h*p**4 + 0 + 0*p = 0. What is p?
-1, 0, 2
Let r(o) be the first derivative of -o**6/3 - 7*o**5/10 - o**4/3 + 115*o - 91. Let f(k) be the first derivative of r(k). Factor f(p).
-2*p**2*(p + 1)*(5*p + 2)
Factor 4/3*t**3 + 1218*t + 359/3*t**2 - 312.
(t + 12)*(t + 78)*(4*t - 1)/3
Factor 0 + 0*v + 53/2*v**2 - 1/2*v**4 + 26*v**3.
-v**2*(v - 53)*(v + 1)/2
Let q(k) be the third derivative of -5*k**8/336 + 4*k**7/21 - 23*k**6/24 + 7*k**5/3 - 5*k**4/2 + 4*k**2 - k + 1204. Let q(j) = 0. What is j?
0, 1, 2, 3
Factor -30*d - 418 + 81*d + 133*d + d**2 - 15*d + 76.
(d - 2)*(d + 171)
Let d = -213 + 218. Find y such that -8*y**2 + 453 - 2*y**3 + 8*y + 8*y**4 - 2*y**d - 4*y**3 - 453 = 0.
-1, 0, 1, 2
Let g(v) be the second derivative of -49/135*v**6 + 2 + 7/9*v**5 - 20/27*v**3 - 4/9*v**2 + 1/18*v**4 - 27*v. Factor g(b).
-2*(b - 1)**2*(7*b + 2)**2/9
Suppose 3*z + 5*o + 305 = 0, 2*z + o = -0*o - 201. Let j = 201/2 + z. Factor -1/4*h**4 + 0*h + j*h**3 + 0*h**2 + 0.
-h**3*(h - 2)/4
Let w(l) be the third derivative of -l**6/120 + l**5/15 + 29*l**4/24 + 4*l**3 + 729*l**2. Let w(y) = 0. Calculate y.
-3, -1, 8
Suppose -41 = i - 42, -4*i = 4*u - 12. Let d(s) be the first derivative of u*s**2 + 4/5*s**5 - 20 + 0*s - 1/6*s**6 - 3/4*s**4 - 4/3*s**3. Solve d(p) = 0 for p.
-1, 0, 1, 2
Factor 0 + 0*k + 48/5*k**2 - 49/5*k**3 + 1/5*k**4.
k**2*(k - 48)*(k - 1)/5
Let r(d) = 5965*d + 11933. Let u be r(-2). Suppose 0 + 0*q + 4/5*q**4 - 2/5*q**u - 4/5*q**2 + 2/5*q**5 = 0. Calculate q.
-2, -1, 0, 1
Let m(l) be the second derivative of -l**5/4 + 905*l**4/12 - 19780*l**3/3 - 63480*l**2 + 203*l. Find f such that m(f) = 0.
-3, 92
Let q(f) be the third derivative of -2*f**7/21 + 43*f**6/24 + 67*f**5/12 - 205*f**4/12 - 20*f**3 - 222*f**2. Solve q(i) = 0 for i.
-2, -1/4, 1, 12
Let q(h) be the third derivative of h**5/30 - 14*h**4/3 + 36*h**3 + 1057*h**2. Factor q(n).
2*(n - 54)*(n - 2)
Find q, given that -61/4*q**2 + 1/4*q**3 + 143/2*q - 84 = 0.
2, 3, 56
Let l(z) be the second derivative of 5*z**4/24 - 1465*z**3/12 - 735*z**2/2 + 4639*z. Find h such that l(h) = 0.
-1, 294
Let d be (0 + 2 + -2)*(-3)/(-3). Suppose 4*m + 5*k - 13 = 0, -k - 3 = -2*m - d. Factor m*g**3 - 168 + 10*g + 138 + 3*g**3 - 45*g.
5*(g - 3)*(g + 1)*(g + 2)
Let v(f) = f**2 - 394*f + 24887. Let o be v(315). Let 24/7 - 14*i + 8/7*i**o = 0. What is i?
1/4, 12
Suppose 68*v**2 - 804 + 0*v**2 - 70*v**2 - 406*v = 0. Calculate v.
-201, -2
Let a(m) be the third derivative of -6241*m**5/90 - 395*m**4/3 - 100*m**3 - 1010*m**2. What is o in a(o) = 0?
-30/79
Suppose -7 = 4*k + 9. Let p be 5/10*-2 - k. Find f such that 71*f + 5*f**2 - 30*f - 41*f + 5*f**p = 0.
-1, 0
Let b = -51293 + 51295. Solve 9/2 - 3/4*r**b - 15/4*r = 0.
-6, 1
Suppose -10*y = -142*y. What is v in 0*v**2 + 3/7*v**4 + 0*v + y + 0*v**3 = 0?
0
Let g(p) = -4*p**4 - 19*p**3 + 27*p**2 - 11*p - 5. Let q(t) = 4*t**4 + 21*t**3 - 25*t**2 + 11*t + 5. Let m(v) = -4*g(v) - 3*q(v). Factor m(y).
(y - 1)**2*(y + 5)*(4*y + 1)
Factor 8*g + 0 + 48/7*g**3 - 4/7*g**4 + 108/7*g**2.
-4*g*(g - 14)*(g + 1)**2/7
Suppose 0 = -3*g - v + 90, 3*g + 2*g + 3*v = 150. Factor -58 + 24 + 19 + 15 + 5*h**2 + 5*h**3 - g*h.
5*h*(h - 2)*(h + 3)
Factor -1/4*c**3 - 168 - 17/2*c**2 + 80*c.
-(c - 4)**2*(c + 42)/4
Factor 21*i**2 - 130*i**3 + 23*i**2 + 502*i**3 - 90*i**2 - 531*i**4 + 34*i**2.
-3*i**2*(3*i - 2)*(59*i - 2)
Solve -3445 + 3445 + 8*c**2 - 462*c - 95*c**2 - 3*c**3 = 0 for c.
-22, -7, 0
Let x be 118/30 + (36/42 - (-2142)/(-1470)). Factor x - 23/3*p - 5/3*p**2.
-(p + 5)*(5*p - 2)/3
Let m(j) be the second derivative of -44/21*j**3 - 1/42*j**4 + 0 - 484/7*j**2 + 30*j. Suppose m(g) = 0. What is g?
-22
Let t(n) be the first derivative of 1/20*n**4 - 6/5*n**2 + 8 - 9/100*n**5 + 6/5*n**3 - 20*n. Let d(o) be the first derivative of t(o). Factor d(z).
-3*(z - 2)*(z + 2)*(3*z - 1)/5
Let b be ((-6)/(-9)*(-378)/70)/((-304)/190). Factor -12*l**2 - 3/2 + 35/4*l - b*l**3.
-(l + 6)*(3*l - 1)**2/4
Let l be (24056/(-279))/8 - -11. Factor 0 + l*i**2 + 2*i.
2*i*(i + 9)/9
Let r(v) = 14*v**3 + 10*v**2 - 2. Let a(p) = 41*p**3 + 29*p**2 + 2*p - 7. Let n(d) = -2*a(d) + 7*r(d). Suppose n(l) = 0. Calculate l.
-1, 0, 1/4
Let q(n) be the first derivative of -1/9*n**6 + 58/15*n**5 + 392/3*n**2 - 37*n**4 + 280/9*n**3 + 0*n - 56. Solve q(k) = 0 for k.
-1, 0, 2, 14
Let k(h) be the second derivative of 14/3*h**4 - 34/3*h**3 + 259*h + 0 - 8/15*h**6 + 12*h**2 + 2/21*h**7 + 0*h**5. Let k(d) = 0. What is d?
-2, 1, 3
Let i(w) be the third derivative of 2 - 2*w**2 - 3/28*w**4 - 22/21*w**3 + 0*w + 1/210*w**5. Let i(b) = 0. Calculate b.
-2, 11
Let x(u) = u**3 + 3*u**2 + 4. Let m be ((-9)/(-3))/((6 - 2)/(-4)). Let a be x(m). Factor -8 - 4*i**4 + 28*i**3 + 10*i + 20*i**a - 12*i**2 - 38*i + 4*i**4.
4*(i - 1)*(i + 1)**2*(5*i + 2)
Let q(g) be the third derivative of g**8/224 + 3*g**7/280 - 27*g**6/160 - 31*g**5/40 - 3*g**4/4 - 27*g**2 + 20. Suppose q(h) = 0. Calculate h.
-3, -2, -1/2, 0, 4
Let r(q) be the first derivative of -46 - 5/4*q**4 - 5/2*q**2 + 10/3*q**3 + 0*q. Determine j so that r(j) = 0.
0, 1
Let i(r) be the second derivative of -4/3*r**3 + 0*r**2 - 1/20*r**5 - 3/4*r**4 - 86*r + 0. Factor i(z).
-z*(z + 1)*(z + 8)
Let z = -1 - -5. Suppose 43 = z*a + 19. Find q, given that -a*q**2 + 0*q**2 + 6 + 0*q**3 + 3*q**3 + 0*q**2 - 3*q = 0.
-1, 1, 2
Let i(z) be the third derivative of z**5/12 + 370*z**4/3 - 2965*z**3/6 + 302*z**2. Factor i(k).
5*(k - 1)*(k + 593)
Factor 95 - 476/5*y + 1/5*y**2.
(y - 475)*(y - 1)/5
Let w(j) be the second derivative of 3*j**4 - 1/10*j**6 + 0*j**3 + j + 0*j**2 - 89 - 33/20*j**5. Find u, given that w(u) = 0.
-12, 0, 1
Suppose -3*z - 19 = -5*v, 0*v + 4*v - 2*z = 14. Solve 28*b**v + 2*b**4 - 41684 + 14*b**3 + 16*b + 41684 = 0 for b.
-4, -2, -1, 0
Suppose -l + 130 = 9*l. Suppose -3*c = -l*c + 40. What is d in -44/17*d + 112/17*d**2 - 116/17*d**3 + 6/17 + 42/17*d**c = 0?
1/3, 3/7, 1
Suppose 3*s - l - 42 = -4*l, 5*s - 4*l - 25 = 0. Suppose -s*p + p + 49*p**3 - 20*p**2 - 57*p**3 = 0. Calculate p.
-2, -1/2, 0
Let i(a) = a**3 + 13*a**2 + 16*a - 3. Let h(b) = -11*b**2 + 1 + 14*b**2 - b**3 - 6*b - 2*b - 10*b**2. Let g(s) = -14*h(s) - 6*i(s). Solve g(n) = 0.
-1, -1/2
Let w(k) = 4*k**2 + 82*k - 96. Let q(x) = x + 4. Let t = 92 - 94. Let s(v) = t*q(v) - w(v). What is o in s(o) = 0?
-22, 1
Let p(b) be the third derivative of -b**7/12 - 5*b**6/48 + 71*b**5/12 - 25*b**4/6 + 1162*b**2 - 2. Solve p(u) = 0.
-5, 0, 2/7, 4
Factor -10/9 + 278/9*b + 56/9*b**2.
2*(b + 5)*(28*b - 1)/9
Let c(a) be the second derivative of -2*a**7/21 + 5*a**6/6 - 43*a**5/20 + 6*a**3 - 285*a. Solve c(w) = 0 for w.
-3/4, 0, 2, 3
Suppose b - 6*l + 5*l = 3, -4*l = -3*b + 9. Let z(q) be the second derivative of -10*q**2 - 4*q + 25/6*q**b + 0 - 5/12*q**4. Factor z(v).
-5*(v - 4)*(v - 1)
Let g = -78192 + 78192. Suppose g*k + 4/7 - 1/7*k**2 = 0. Calculate k.
-2, 2
Factor 256/7 - 36/7*j**2 + 2/7*j**3 + 48/7*j.
2*(j - 16)*(j - 4)*(j + 2)/7
Let l be ((-12)/(-