) be the first derivative of 8 + 1/42*h**4 + 1/210*h**5 - 7/2*h**2 + 1/21*h**3 + 0*h. Let u(v) be the second derivative of c(v). Factor u(q).
2*(q + 1)**2/7
Let i be (3*2 - (-70 - -72)) + 5 + 27. Let o(b) be the first derivative of -5/8*b**2 + 3/2*b + i - 11/12*b**3. Factor o(h).
-(h + 1)*(11*h - 6)/4
Let g be ((-161)/(-7) + -33)*2/(-4). Let c(d) be the third derivative of 2*d**2 + 0*d**3 + 1/9*d**4 + 1/45*d**g + 2*d + 0. Let c(j) = 0. What is j?
-2, 0
Let p(g) = -g**5 + g**3 - 2*g**2 - 4*g - 1. Let t(q) = 14*q**4 + 67*q**3 + 74*q**2 + 4*q + 1. Let s(r) = 4*p(r) + 4*t(r). Factor s(b).
-4*b**2*(b - 18)*(b + 2)**2
Let a = -156740/39 + 4019. Let y(f) be the second derivative of 1/78*f**4 + 9*f + 1/65*f**5 - a*f**3 + 0*f**2 + 0. Factor y(m).
2*m*(m + 1)*(2*m - 1)/13
Suppose 0*r = 3*r + 4*c - 4, -3*r + 10 = c. Let j be 1*(r - (3 + -3)/3). What is b in 9*b**2 - 16*b**2 + 3*b**2 + 138*b**3 - 48*b - 8 - 22*b**2 - 56*b**j = 0?
-2/7, -1/4, 1, 2
Let j(v) be the second derivative of v**4/4 + 15*v**3 + 483*v**2/2 + v - 167. Find h, given that j(h) = 0.
-23, -7
Suppose -22/15*x**2 + 2/15*x**3 + 26/5 - 58/15*x = 0. Calculate x.
-3, 1, 13
Let l(f) be the third derivative of -f**8/112 - f**7/35 + 4*f**2 - 83. Factor l(n).
-3*n**4*(n + 2)
Let 3/2*d**2 + 183*d + 0 = 0. Calculate d.
-122, 0
Let l(z) be the second derivative of 3*z**5/20 - 2273*z**4/4 + 4543*z**3/2 - 6813*z**2/2 - 136*z + 23. Factor l(a).
3*(a - 2271)*(a - 1)**2
Let b = -9438 + 18881/2. Let i(t) be the first derivative of -26 + 5/12*t**6 - 5/4*t**4 - 27/20*t**5 + b*t**3 + 5/4*t**2 - 3/4*t. Solve i(y) = 0.
-1, -1/2, 1/5, 1, 3
Let h be 470460/(-17250) - (44/(-23) + 2). Let n = h + 1529/25. Factor -176/5*r**3 - 64/5*r**4 - 9/5 - 66/5*r - n*r**2.
-(r + 1)**2*(8*r + 3)**2/5
Solve 4957*m**2 - 3817/2*m**3 - 3584*m + 118*m**4 - 2*m**5 + 784 = 0.
1/2, 2, 28
Let o(d) = -4*d**2 + 23*d - 21. Suppose 28*f = 5*f + 23. Let x(r) = 2*r**2 - r + 1. Let y(b) = f*x(b) + o(b). Factor y(j).
-2*(j - 10)*(j - 1)
Suppose -g = 5*w - 5*g - 177, -2*w = 3*g - 57. Factor 38*i**3 - i - 9 - w*i**3 + 9*i**2 - 4*i**3.
(i - 1)*(i + 1)*(i + 9)
Let o(b) be the second derivative of b**6/6 - 35*b**4/4 + 50*b**3/3 - 107*b - 5. Determine s, given that o(s) = 0.
-5, 0, 1, 4
Suppose 112*s - 112 = 38 + 209 - 23. Let -14/3*v**2 - 2/3*v**s + 0*v + 0 = 0. What is v?
-7, 0
Let n(x) be the third derivative of x**7/525 + 7*x**6/75 - 3*x**5/5 + 23*x**4/15 - 31*x**3/15 - 82*x**2. What is d in n(d) = 0?
-31, 1
Let b(k) be the first derivative of -k**4/48 - k**3/48 + 9*k**2/4 + 125*k - 207. Let w(q) be the first derivative of b(q). Factor w(x).
-(x - 4)*(2*x + 9)/8
Suppose 3*v = -14 - 1. Let b(t) = 30*t - 15. Let g(w) = -w**2 + 29*w - 16. Let f(z) = v*g(z) + 4*b(z). Solve f(j) = 0.
1, 4
Let v(j) be the third derivative of 0*j - 1/42*j**4 + 0*j**3 + 1/70*j**5 + 1/210*j**6 + 0 + 46*j**2. Factor v(p).
2*p*(p + 2)*(2*p - 1)/7
Let i(c) be the third derivative of -5*c**8/48 + 22*c**7/21 - 25*c**6/8 + 23*c**5/6 - 5*c**4/3 - 5*c**2 - c - 2. Let i(a) = 0. Calculate a.
0, 2/7, 1, 4
Let u = 407 - 402. Determine b, given that 9*b - 6 - u*b + 37*b**2 + 13*b - 42*b**2 = 0.
2/5, 3
Factor -3*v**2 + 5*v**2 + 269 - 953*v - 29*v + 711.
2*(v - 490)*(v - 1)
Let a(c) be the first derivative of -c**5/5 + 5*c**4/4 + 101*c**3/3 - 213*c**2/2 + 108*c + 888. Find r, given that a(r) = 0.
-9, 1, 12
Suppose 39 = 9*x - 6. Suppose g = w, -5*w = -x*g - 3*w + 6. Determine i, given that 160/7*i**g + 0 - 14*i**4 - 24/7*i - 34*i**3 = 0.
-3, 0, 2/7
Let f(y) be the third derivative of y**6/720 - 13*y**5/360 + 5*y**4/18 - y**3 + 615*y**2. Let f(z) = 0. Calculate z.
2, 9
Let k(w) be the third derivative of 10/3*w**4 + 3/2*w**7 - 15/112*w**8 + 4 - 143/24*w**6 + 0*w + 101/12*w**5 - 4*w**2 - 10*w**3. Find l such that k(l) = 0.
-1/3, 1/3, 2, 3
Let n(j) be the second derivative of -j**5/20 + 3*j**4/4 + 2*j**3 - 10*j**2 - 353*j. Suppose n(l) = 0. What is l?
-2, 1, 10
Let p(g) = 3*g**2 - 5*g. Let t(k) = 4*k**2 - 7*k + 1. Suppose 8 = -541*h + 539*h. Let x(q) = h*t(q) + 6*p(q). Determine s, given that x(s) = 0.
-1, 2
Let f(l) = -3*l - 39. Let j be f(-14). Let z(v) be the first derivative of j*v + 7 + 20*v**2 + v**3 - 38*v**2 + 21*v**2. Factor z(b).
3*(b + 1)**2
Let j = 28776 - 287753/10. Let s(c) be the third derivative of -j*c**5 + 0*c - c**3 + 0 + 17/12*c**4 - 3/20*c**6 - 33*c**2. Determine a, given that s(a) = 0.
-3, 1/3
Let z(d) = -27*d**2 - 28*d - 617. Let n(f) = -23*f**2 - 34*f - 618. Let c(u) = 7*n(u) - 6*z(u). Determine k so that c(k) = 0.
-8, 78
Let t(h) be the second derivative of -5*h**5/8 + 45*h**4/8 + 22*h**3/3 + 3*h**2 + 4557*h. Find n such that t(n) = 0.
-2/5, -1/5, 6
Let s(v) = -46*v**5 - 177*v**4 - 140*v**3 - 12*v**2 - 3*v + 15. Let y(x) = -x**5 - x**4 - x**3 - 2*x**2 - x + 5. Let f(j) = -s(j) + 3*y(j). Solve f(b) = 0.
-3, -1, -2/43, 0
Suppose -5*t + 12 = o, -4*o = 6*t - 10*t. Factor -8*i**o + 32*i**2 - 9*i - 4*i**3 - 2*i**4 + 10 - 19*i.
-2*(i - 1)**3*(i + 5)
Factor 171/4*w**3 + 24*w**4 + 27/2*w**2 + 0*w + 15/4*w**5 + 0.
3*w**2*(w + 3)**2*(5*w + 2)/4
Let o be (0 - 2)/(-1 - 0). Let p(a) = a**2 + 32*a - 141. Let k be p(-36). Let -16*x**2 + x**k - 7*x**5 + 16*x**4 - 707*x + o*x**3 + 711*x = 0. What is x?
-1, 0, 2/7, 1, 2
Let g(d) be the third derivative of 15*d**2 + 1/4*d**4 + 0 + 1/20*d**5 + 1/240*d**6 + 0*d - 8/3*d**3. Let k(f) be the first derivative of g(f). Factor k(p).
3*(p + 2)**2/2
Let b be 23/(-69) - ((-38144)/(-120))/(-32). Suppose 26/5*c - b*c**2 - 4/5 + 18/5*c**3 = 0. Calculate c.
1/3, 2
Let v be ((-3)/(-1) - 1)/((-23)/(-69)). Let t be ((-200)/750)/((-4)/v). Factor 0 + t*s**2 + 4/5*s.
2*s*(s + 2)/5
Let n be (5*2/8)/(5280/704). Let y(p) be the third derivative of 1/120*p**5 + 39*p**2 + n*p**3 + 0*p + 0 + 1/16*p**4. Factor y(d).
(d + 1)*(d + 2)/2
Suppose -41 + 461*w**3 - 10*w**2 - 29*w + 21 - 462*w**3 = 0. What is w?
-5, -4, -1
Let v be (0 - 9)/(2/(-2)). Suppose 4*i + v = -3*g + 51, 4*g - 2*i - 56 = 0. Solve -8*y**2 - g*y + 2*y + 2*y + 3*y**2 = 0.
-2, 0
Let g(w) = 195*w - 114. Let u be g(6). Let k = 1059 - u. Solve -15*a**2 + 5/2*a**4 - 20*a - 15/2 + 0*a**k = 0 for a.
-1, 3
Let j(a) be the third derivative of 0 + 0*a - 70*a**2 - 1/50*a**5 - 23/120*a**4 + 2/15*a**3. Find q, given that j(q) = 0.
-4, 1/6
Let x(r) be the third derivative of 0 + 25/2*r**3 + 1/120*r**6 - 3*r**2 + 5*r - 5/24*r**4 - 7/60*r**5. Factor x(p).
(p - 5)**2*(p + 3)
Let y be 20900/(-300375) - 2/(-27). Let c = 437/1780 + y. Factor -c*z**4 + 3/4*z**2 + 0 + 0*z + 1/2*z**3.
-z**2*(z - 3)*(z + 1)/4
Let b(s) = -s**2 + 8*s + 2. Let z(x) = -22*x**2 - 2702*x + 732. Let w(g) = -14*b(g) + z(g). Factor w(d).
-2*(d + 352)*(4*d - 1)
Let m(l) be the third derivative of l**9/5040 - l**7/1400 + 61*l**3/6 - 8*l**2 + 2*l. Let j(x) be the first derivative of m(x). Solve j(q) = 0 for q.
-1, 0, 1
Let h(f) = -f**3 - 10*f**2 + 10*f - 4. Let s be h(-11). Let a = 18 + s. Factor -11*r**3 - a*r**2 - 9*r**3 - 35*r + 48*r**3 + 10 - 8*r**3.
5*(r - 2)*(r + 1)*(4*r - 1)
Factor 5/6*h**4 - 130/3*h**3 + 825*h**2 - 6750*h + 39375/2.
5*(h - 15)**3*(h - 7)/6
Let j(r) be the first derivative of 118/15*r**4 + 88/15*r + 4/45*r**6 - 122/9*r**3 - 31 - 42/25*r**5 + 28/5*r**2. Find b, given that j(b) = 0.
-1/4, 1, 2, 11
Let n(p) be the first derivative of -p**6/33 + 98*p**5/55 - 405*p**4/11 + 832*p**3/3 + 512*p**2/11 - 49152*p/11 - 3511. Suppose n(b) = 0. Calculate b.
-2, 3, 16
Let m = 125744/3 - 251485/6. Factor -11/2*g + m*g**2 + 0.
g*(g - 11)/2
Determine f, given that 6232/5*f**2 + 0 - 28/5*f**4 - 1812/5*f**3 - 1632/5*f = 0.
-68, 0, 2/7, 3
Let c(k) be the third derivative of -8/5*k**5 - 2/3*k**3 + 0 - 49/24*k**4 + 0*k - 61/120*k**6 - 1/21*k**7 + 220*k**2. Factor c(j).
-(j + 1)**2*(j + 4)*(10*j + 1)
Let q be (-16 - -3) + 390/30. Let b(j) be the first derivative of -17 + 0*j**2 + 0*j + 0*j**5 + q*j**3 + 1/16*j**4 - 1/24*j**6. Find h such that b(h) = 0.
-1, 0, 1
Suppose 5*m = -5*o + 12610, 2*o - 5*m + 1311 = 6446. Solve -78*b + o + 3/5*b**2 = 0.
65
Let v be (19 - (-4675)/(-250))*(-112)/(-6). Factor v + 4*a**2 + 52/5*a - 4/5*a**3.
-4*(a - 7)*(a + 1)**2/5
Let r(l) be the first derivative of l**6/39 + 18*l**5/65 - 45*l**4/13 + 44*l**3/39 + 345*l**2/13 + 450*l/13 + 14226. Solve r(n) = 0 for n.
-15, -1, 3, 5
Find v such that -334*v - 11*v**2 + 43*v**2 + 