**4/78 + 5*w**3/39 + 3*w + 116. Determine r so that y(r) = 0.
-5/19, 0
Let i(m) be the second derivative of 2*m**6/15 - 16*m**5/5 + 49*m**4/3 - 4*m**3 - 144*m**2 + 3005*m. Solve i(q) = 0.
-1, 2, 3, 12
Let q(y) be the first derivative of y**6/6 - 3*y**5/2 - 45*y**4/4 + 90*y**3 + 810*y**2 + 30*y - 15. Let s(i) be the first derivative of q(i). Factor s(z).
5*(z - 6)**2*(z + 3)**2
Let f(k) be the third derivative of 5*k**8/112 + 31*k**7/42 + 59*k**6/12 + 33*k**5/2 + 225*k**4/8 + 45*k**3/2 + 545*k**2. Suppose f(y) = 0. What is y?
-3, -1, -1/3
Let x(n) be the second derivative of 2*n**6/5 - 153*n**5/20 + 127*n**4/4 + 231*n**3/2 + 147*n**2/2 + 2*n + 448. Factor x(b).
3*(b - 7)**2*(b + 1)*(4*b + 1)
Let q(p) = 5*p**5 + 93*p**4 + 30*p**3 - 2*p**2 + 4. Let z(v) = -9*v**5 - 92*v**4 - 29*v**3 + 3*v**2 - 6. Let o(s) = -3*q(s) - 2*z(s). Factor o(y).
y**3*(y - 32)*(3*y + 1)
Let k = 1187847/14 - 169687/2. Factor k*n**3 - 74/7*n**2 + 8/7 + 68/7*n.
(n - 2)**2*(19*n + 2)/7
Let b(s) be the third derivative of 89*s**2 + 1/60*s**6 + 0*s - 16/9*s**3 + s**4 - 2/9*s**5 + 0. Factor b(a).
2*(a - 4)*(a - 2)*(3*a - 2)/3
Let k(c) be the third derivative of c**8/336 + c**7/140 + c**6/240 + 740*c**2. Solve k(z) = 0.
-1, -1/2, 0
Solve -2/13*f**5 - 14/13*f**2 - 16/13 - 36/13*f + 14/13*f**3 + 6/13*f**4 = 0.
-1, 2, 4
Let l = -27719/42 + 660. Let a(n) be the third derivative of 0 - l*n**7 + 0*n**3 - 5/12*n**4 + 15*n**2 + 0*n - 1/6*n**6 - 5/12*n**5. Factor a(y).
-5*y*(y + 1)**2*(y + 2)
Let s(m) be the second derivative of -m**3/6 - 2*m**2 + 6*m. Let x be s(-7). Factor -16*v**2 - 9*v**x + 12*v - v**3 + 14*v**3.
4*v*(v - 3)*(v - 1)
Let p(b) be the third derivative of -18*b**2 - 1/24*b**4 - 1/40*b**5 - 1/240*b**6 + 0*b + 0*b**3 - 2. Let p(z) = 0. Calculate z.
-2, -1, 0
Suppose -p - 1 = -4. Let j be (2 - 2)/(6 - (-5 + 9)). Suppose j*o**3 - 6*o + 5*o**2 - 8 + p*o**2 + 10*o - 4*o**3 = 0. Calculate o.
-1, 1, 2
Let g(b) be the first derivative of 0*b + 65/2*b**2 + 70/3*b**3 + 5/4*b**4 + 25. Let g(h) = 0. Calculate h.
-13, -1, 0
Factor 0*f + 0 + 5/3*f**3 + 180*f**2.
5*f**2*(f + 108)/3
Let x(k) be the second derivative of k**7/21 + 7*k**6/5 - 69*k**5/10 + 71*k**4/6 - 8*k**3 + 1244*k. Factor x(b).
2*b*(b - 1)**3*(b + 24)
Let u(d) = -6*d**2 - 17*d - 3. Let c be u(-3). Let b be ((-81)/(-198))/(c/(-11)). Determine m, given that 0*m**2 + 0 - 3/4*m**3 + b*m = 0.
-1, 0, 1
Let t(m) be the first derivative of -5*m**3/3 - 30*m**2 - 55*m - 743. Determine f, given that t(f) = 0.
-11, -1
Suppose -11*u + 7*u = y + 499, -2*u - 4*y = 232. Let g be u/36*(-6)/7. Factor -9*c**2 + 3*c**3 + c**4 - g*c + 2*c**4 + 220 - 214.
3*(c - 1)**2*(c + 1)*(c + 2)
Let 3/2*k**3 + 0 + 3/2*k**5 - 153*k**2 + 18*k**4 + 132*k = 0. What is k?
-11, -4, 0, 1, 2
Let a(z) be the second derivative of 2*z**6/15 + 9*z**5/5 + 7*z**4/3 - 6*z**3 - 16*z**2 + 42*z + 4. Factor a(l).
4*(l - 1)*(l + 1)**2*(l + 8)
Let s(j) be the second derivative of j**5/20 - 21*j**4/8 - 11*j**3 - 106*j**2 + 21*j - 4. Let m(l) be the first derivative of s(l). What is z in m(z) = 0?
-1, 22
Let x(t) = 5*t**2 + 107*t + 392. Let s(y) = 20*y**2 + 409*y + 1569. Let j(b) = 2*s(b) - 9*x(b). Factor j(i).
-5*(i + 3)*(i + 26)
Suppose -4*z = -j - 14, -2 = z + 3*j + 1. Let w = -2813679/5 - -562737. Find a, given that -2/5*a + 2/5*a**z + 6/5 - w*a**2 = 0.
-1, 1, 3
Let p(k) be the third derivative of 0*k**3 + 0*k + 1/1365*k**7 + 0 - 1/390*k**5 + 1/156*k**4 - 25*k**2 - 1/780*k**6. Let p(j) = 0. Calculate j.
-1, 0, 1
Let i be -7 - 5*10/(-5). Let s be (-54)/(-10) + 50/(-125) - i. Factor 2/5 - 2/5*w**s - 2/5*w + 2/5*w**3.
2*(w - 1)**2*(w + 1)/5
Let d(x) be the second derivative of x**6/360 + x**5/36 - x**4/72 - 5*x**3/18 + 47*x**2 - x + 5. Let j(c) be the first derivative of d(c). Factor j(i).
(i - 1)*(i + 1)*(i + 5)/3
Let i(f) be the second derivative of 2*f**7/3 + 29*f**6/10 + 93*f**5/20 + 37*f**4/12 + f**3/2 - 4033*f. Solve i(g) = 0.
-1, -3/28, 0
Let n = -33146 + 164546/5. Let i = 237 + n. Factor -1/5 - 1/5*v + 1/5*v**3 + i*v**2.
(v - 1)*(v + 1)**2/5
Factor -27 - 17*g**2 + 222/5*g - 2/5*g**3.
-(g - 1)*(g + 45)*(2*g - 3)/5
Let b(x) = x**3 + 51*x**2 - 206*x + 770. Let f be b(-55). Let 1/5*q**4 + 8/5*q**5 + f*q**2 + 0*q**3 + 0 + 0*q = 0. What is q?
-1/8, 0
Let y(s) be the second derivative of s**6/90 - s**5/6 + s**4 - s**3/6 - 31*s**2 - 176*s. Let q(t) be the second derivative of y(t). Factor q(h).
4*(h - 3)*(h - 2)
Factor -3*y**2 + 182 + 114 - 2210 + 963*y.
-3*(y - 319)*(y - 2)
Let x(h) = h**2 + 2*h - 21. Let u be x(-6). Let r(g) be the first derivative of 0*g - 15/4*g**4 + 14 - u*g**2 - 7*g**3. Factor r(f).
-3*f*(f + 1)*(5*f + 2)
Let q(z) be the first derivative of -z**5/5 + 26*z**4/3 + 271*z - 275. Let f(p) be the first derivative of q(p). Find m, given that f(m) = 0.
0, 26
Let a(l) be the second derivative of -3/20*l**5 + 1/6*l**4 + 1/15*l**6 + 0*l**2 - 1/12*l**3 + 0 + 4*l - 1/84*l**7. Factor a(y).
-y*(y - 1)**4/2
Let g be 567/243*(3 + 117/(-42))*1*8. Solve 3459/2*z**3 + 630*z**2 + 0 + 54*z - 630*z**g + 54*z**5 = 0 for z.
-1/6, 0, 6
Let 73/3*q**2 - 1/3*q**3 - 280/3*q + 92 = 0. Calculate q.
2, 69
Let w(b) = b**2 + 34*b + 220. Let s be w(-8). Let v be (-17)/153*s/(-8). Factor 1/3 + v*i - 1/6*i**2.
-(i - 2)*(i + 1)/6
Determine f, given that 0*f**3 + 246 + 252*f**2 + 18*f + 0*f**3 + 3*f**3 + 0*f**3 + 477*f = 0.
-82, -1
Let t be (1/(-2))/(4/(-40)) + -2. What is i in 24*i - 45 + 37*i**t + 3*i**4 + 27*i**2 + 15*i**3 - 76*i**3 + 15*i**2 = 0?
-1, 1, 3, 5
Let u(i) be the third derivative of -i**6/480 - 19*i**5/40 - 35*i**4 - 784*i**3/3 - 2*i**2 - 377. Factor u(b).
-(b + 2)*(b + 56)**2/4
Suppose 0 = j - j - 2*j. Suppose j = -p + 243 + 67. Factor 5*t**4 + 312 - 622 - 5*t**2 + p.
5*t**2*(t - 1)*(t + 1)
Let i = 69036 - 207106/3. Factor -2/3*z - 4 + i*z**2.
2*(z - 3)*(z + 2)/3
Let a(n) be the second derivative of n**4/3 - 38*n**3 + 112*n**2 - 1212*n. Factor a(b).
4*(b - 56)*(b - 1)
Let f(p) = 31*p**2 - 484*p - 948. Let z(m) = -2*m**2 - m - 3. Let v(b) = -5*f(b) - 80*z(b). Let v(q) = 0. What is q?
-498, -2
Determine r so that 988/9*r**4 + 6400/3 + 672*r**3 + 28/9*r**5 + 53120/9*r - 47632/9*r**2 = 0.
-20, -2/7, 2, 3
Suppose 4*b - 2*d + 254 = 0, -4*d + 130 = -3*b + b. Let r = -55 - b. Find q, given that 21*q - q - r*q**2 + 4 + 15 - 7 = 0.
-1/2, 3
Let r = -2353 - -2348. Let c(l) = -l**2 + 22*l - 5*l**2 - 10*l - 6. Let k(y) = -3*y**2 + 6*y - 3. Let s(z) = r*k(z) + 2*c(z). Factor s(f).
3*(f - 1)**2
Suppose 5*i = -1 - 9. Let b be 42/28*i/(-5). What is k in -2/5 + k**2 + b*k = 0?
-1, 2/5
Let k(x) be the second derivative of -1/60*x**6 + 5/12*x**4 + 0 + 0*x**2 + 1/40*x**5 + 133*x + 2/3*x**3. Find b such that k(b) = 0.
-2, -1, 0, 4
Suppose 2*t - 2*y - 8 = 0, 3*t + 9 - 29 = -y. Find l, given that -8*l**3 + 0*l**5 + t*l**2 + 3*l**5 - 12*l**3 + 11*l**3 = 0.
-2, 0, 1
Let n = 459881 + -459879. Find v, given that -24/17*v + 2/17*v**n + 54/17 = 0.
3, 9
Suppose -27*q = -280*q + 506. Factor -2/11*g**q + 14/11 - 12/11*g.
-2*(g - 1)*(g + 7)/11
Factor -264*v**2 - 178*v - 368 - 282*v - 568 + 268*v**2.
4*(v - 117)*(v + 2)
Let q(i) be the third derivative of -i**6/72 + i**5/8 - 5*i**4/12 - 31*i**3/6 + 56*i**2. Let p(u) be the first derivative of q(u). Factor p(b).
-5*(b - 2)*(b - 1)
Let d(x) be the first derivative of -x**4/2 + 1586*x**3/21 + 3050*x**2/7 - 1872*x/7 + 2548. Let d(p) = 0. Calculate p.
-4, 2/7, 117
Let n(b) be the second derivative of b**5/30 + 1083*b**4/2 + 3518667*b**3 + 11432149083*b**2 + 3005*b. Factor n(j).
2*(j + 3249)**3/3
Suppose 104857*p = 104829*p. Factor p*i - 8/5*i**2 + 0 - 2/5*i**3.
-2*i**2*(i + 4)/5
Let 1345*g + 4 + 36*g**2 + 56 - 2561*g + 1308*g + 4*g**3 = 0. Calculate g.
-5, -3, -1
Let u(r) be the first derivative of -1/4*r**4 + 5*r + 7/3*r**3 - 11/2*r**2 - 39. Let u(w) = 0. What is w?
1, 5
Let n = -491 - -492. Factor 26*c**3 + 23*c**4 + 13*c**5 + 4*c**3 - 9*c**2 - 1 + n - 9*c**5.
c**2*(c + 3)**2*(4*c - 1)
Let u = 7 - 5. Suppose 20*x - 14*x - 30 = 0. Factor x*i - 9*i**2 + 20*i**u - 6*i**2.
5*i*(i + 1)
Let t(d) = d**3 - 595*d**2 - 389*d + 692. Let u(q) = 198*q**2 + 129*q - 231. Let r(v) = 3*t(v) + 8*u(v). Let i(n) be the first derivative of r(n). Factor i(m).
3*(m - 45)*(3*m + 1)
Let b(x) = -x**3 - 133*x**2 + 222*x + 11794. Let v be b(-134). Solve 1/4*s**v + 15/2*s - 31/4 = 0 for s.
