67*c**2 - 686*c - 150. Let i be d(-76). Factor -50/9*l - 6*l**i - 4/3 - 16/9*l**3.
-2*(l + 1)*(l + 2)*(8*l + 3)/9
Let o(y) be the third derivative of 11/6*y**4 - 5 + 0*y - 1/15*y**5 + 15*y**2 + 8*y**3. Solve o(n) = 0 for n.
-1, 12
Let w(u) be the first derivative of u**6/14 - 12*u**5/35 - 6*u**4/7 + 2*u**3 + 3*u**2/2 - 30*u/7 + 8998. Suppose w(r) = 0. Calculate r.
-2, -1, 1, 5
Let d = -1/29 - -119/87. Let x be (-485)/(-291) - 2/2. Factor 0 + 2*r**4 - x*r**2 + 8/3*r**3 - d*r.
2*r*(r + 1)**2*(3*r - 2)/3
Let v be (-34364)/(-7455) - 6*(-7)/735. Find a such that v*a - 2/3*a**2 - 8 = 0.
3, 4
Let r(b) be the first derivative of -7*b**6/6 - 16*b**5/5 + 129*b**4/4 - 158*b**3/3 + 14*b**2 + 24*b - 1511. Let r(q) = 0. Calculate q.
-6, -2/7, 1, 2
Let n(t) = 6*t + 6. Let m be n(1). Find a, given that 5*a - a**2 - 25 + 9 + m = 0.
1, 4
Let x(g) = g**3 + 15*g**2 + 15*g + 12. Let v be x(-14). Let f be (16/20)/(v/(-5)). Factor -3*p**3 + 8 + 5*p - p**3 - 5*p - 6*p**2 + 8*p + f*p**4.
2*(p - 2)**2*(p + 1)**2
Let j = 4506 + -4504. Let s(m) be the first derivative of -1/12*m**4 + 1/3*m**3 - 4/3*m + 0*m**j + 3. Factor s(z).
-(z - 2)**2*(z + 1)/3
Let w(z) be the third derivative of z**6/900 - 14*z**5/225 + 7*z**4/15 + 32*z**3/5 - 5*z**2 - z - 227. Factor w(n).
2*(n - 24)*(n - 6)*(n + 2)/15
Let h(c) be the second derivative of -c**6/80 - 117*c**5/80 - 1521*c**4/32 - 394*c. Solve h(o) = 0.
-39, 0
Let n = -785 - -791. Let z(p) be the first derivative of 22/9*p**3 - 4/3*p**2 + 0*p + 2/15*p**5 + 1/9*p**n - 3/2*p**4 - 20. Factor z(q).
2*q*(q - 1)**3*(q + 4)/3
Let g(d) be the first derivative of d**5/15 + 49*d**4/12 + 85*d**3 + 3179*d**2/6 - 9826*d/3 - 404. Determine i, given that g(i) = 0.
-17, 2
Let v(w) be the third derivative of -w**6/18 - 739*w**5/90 + 206*w**4/9 - 25*w**3/3 - 1253*w**2 + 2. Solve v(x) = 0.
-75, 1/10, 1
Let -299*g**2 - 1/3*g**4 - 1624/3*g - 784/3 - 58/3*g**3 = 0. Calculate g.
-28, -1
Let c(p) be the second derivative of -150*p + 0 - 1/102*p**4 - 47/51*p**3 + 0*p**2. Factor c(g).
-2*g*(g + 47)/17
Suppose -54*h = -21*h - 26*h. Suppose h = -5*t + 2*m + 16, 4*m - 45 + 57 = 0. What is x in 0 - 2/3*x**t + 0*x + 2/9*x**3 = 0?
0, 3
Let i(d) be the second derivative of 5*d**4/12 - 680*d**3/3 + 46240*d**2 + 2103*d. Find r, given that i(r) = 0.
136
Factor 676 + 157/9*y**2 + 1/9*y**3 + 2080/3*y.
(y + 1)*(y + 78)**2/9
Factor 1/2*x**3 - 141/8*x**2 + 35/8*x + 0.
x*(x - 35)*(4*x - 1)/8
Let u(g) be the first derivative of g**5/5 - 4*g**4 + 95*g**3/3 - 124*g**2 + 240*g - 8009. Find j such that u(j) = 0.
3, 4, 5
Factor -13/8*c - 11/4 - 1/8*c**2.
-(c + 2)*(c + 11)/8
Let q be (-42 + -9)/(-51)*2/10. Let -14/5*u**3 + q*u**5 - 8/5*u**2 + 13/5*u - 2/5*u**4 + 2 = 0. What is u?
-2, -1, 1, 5
Let p(w) be the second derivative of 0*w**2 + 0 + 14*w - 1/3*w**4 - 28/3*w**3. Factor p(d).
-4*d*(d + 14)
Let h(d) = 720*d + 4320. Let v be h(-6). Let o(j) be the second derivative of -1/24*j**4 + 3/4*j**3 + v - 2*j**2 + 14*j. Factor o(m).
-(m - 8)*(m - 1)/2
Let r(j) be the third derivative of 1/2184*j**8 + 0*j - 2/1365*j**7 + 0 - 1/260*j**6 + 4/195*j**5 - 1/39*j**4 + 71*j**2 + 0*j**3. Solve r(i) = 0 for i.
-2, 0, 1, 2
Let t(z) be the second derivative of -z**4/72 + 65*z**3/18 - 42*z**2 - 11155*z. Factor t(v).
-(v - 126)*(v - 4)/6
Suppose -162*u - 134 = -782. Find i such that 8/13*i - 2/13*i**u - 2/13 - 12/13*i**2 + 8/13*i**3 = 0.
1
Let g(n) = -8*n**3 - 392*n**2 - 11172*n - 38416. Let m(k) = 7*k**3 + 396*k**2 + 11172*k + 38416. Let v(c) = 3*g(c) + 4*m(c). Factor v(u).
4*(u + 4)*(u + 49)**2
Suppose -471 - 80*r**2 + 71 - 128329*r + 5*r**3 + 128669*r = 0. What is r?
2, 4, 10
Let f = -1232009 + 1232009. Factor 2/15*t**4 + 0 + 4/15*t + f*t**3 - 2/5*t**2.
2*t*(t - 1)**2*(t + 2)/15
Let g(c) = -140*c**2 - 2159*c + 1300. Let w be g(-16). Factor -3/7*d**3 + 12/7*d**2 + 12/7*d - 3/7*d**w + 0.
-3*d*(d - 2)*(d + 1)*(d + 2)/7
Let w(x) = 7*x - 32. Let k be w(5). Suppose -95*g**3 + 6*g + 20*g**2 + 100*g**k - 17*g - 14*g = 0. What is g?
-5, 0, 1
Suppose -440896 - 2/9*a**3 + 3980/9*a**2 - 658688/3*a = 0. What is a?
-2, 996
Let q(y) be the first derivative of 0*y + 4/3*y**3 + 7 + 2*y**2. Suppose q(d) = 0. Calculate d.
-1, 0
Let d = -197 - -203. Let n(m) = 16*m**3 - 14*m**2 - 10*m - 10. Let k(z) = 5*z**3 - 4*z**2 - 3*z - 3. Let w(p) = d*n(p) - 20*k(p). Factor w(s).
-4*s**2*(s + 1)
Let z(r) be the third derivative of r**5/180 - 91*r**4/36 - 184*r**3/9 + 64*r**2 + 2. Factor z(l).
(l - 184)*(l + 2)/3
Let d(s) be the second derivative of -s**4/18 - 6536*s**3/9 - 10679824*s**2/3 + 7957*s. Let d(l) = 0. Calculate l.
-3268
Let z be ((-4)/(-17))/((-1)/(-4)). Suppose 1572*a = 2*d + 1569*a + 72, -2*a = -52. Solve -12/17*r**4 - 2/17*r**5 - 24/17*r**d + 0*r + 0 - z*r**2 = 0 for r.
-2, 0
Let m be -35*(-9 + (4386/(-120) - -10)/(-3)). Factor 1/4*l**4 + m*l**2 + 0 - 5/2*l - 3*l**3.
l*(l - 10)*(l - 1)**2/4
Let k(m) = -3*m + 112. Let d be k(36). Solve 25*y - 25*y**3 - 24*y**2 + d*y**4 + y**4 + 53*y**2 - 20 - 14*y**2 = 0.
-1, 1, 4
Suppose 247*r - 267*r = 180. Let t be 39/r + 2 + 5/1. Let 1/3*b**5 + t*b - 2*b**3 + 1/3*b**4 + 0 - 4/3*b**2 = 0. What is b?
-2, 0, 1, 2
Let t be ((24 - (-15995)/(-665)) + (-100)/988)/(2/(-26)). Determine b, given that -2/3*b**t + 2/9*b**3 - 26/9*b + 10/3 = 0.
-3, 1, 5
Factor 20 + 160 - m**3 + 4*m**3 + 123*m + 73*m**2 - 193*m**2 + 66*m**2.
3*(m - 15)*(m - 4)*(m + 1)
Factor -62*n**2 + 560*n - 46*n**2 + 104*n**2 - 64*n.
-4*n*(n - 124)
Let j(c) be the third derivative of c**6/50 - 409*c**5/20 + 32576*c**4/5 + 98304*c**3/5 - 1051*c**2. Let j(t) = 0. What is t?
-3/4, 256
Suppose -351633 + 350753 = -440*x. Let b be -1 + (-3)/4 + 2. Factor -b*t**4 + 15/4*t**3 + 0 + 49/4*t - 63/4*t**x.
-t*(t - 7)**2*(t - 1)/4
Let y(r) be the first derivative of -r**4/18 + 1094*r**3/9 - 74711*r**2 - 1348082*r/9 - 9157. Find q, given that y(q) = 0.
-1, 821
Let j be (-2)/(-10)*2 - 646/2040. Let l(c) be the third derivative of -5/72*c**4 + 0*c**3 + 1/126*c**7 - 1/24*c**6 + 0 + j*c**5 + 0*c - 2*c**2. Factor l(z).
5*z*(z - 1)**3/3
Let w(q) = -59*q**2 - 1204*q - 8001. Suppose 225*a - 12 = 231*a. Let v(y) = y**3 + y**2 - 4*y - 1. Let s(p) = a*v(p) + 2*w(p). Determine o, given that s(o) = 0.
-20
Let n(m) = m**2 - 86*m - 40172. Let y be n(-162). Let r = 247/22 - 52/11. Determine c so that -r*c**y - c**2 + 11/2*c**3 + 0 + 2*c**5 + 0*c = 0.
0, 1/4, 1, 2
Let s = 25 - 15. Let j be 6/(-4)*2/(-5)*s. Factor -w**4 - 9*w**2 - w + w**3 - 7*w + w - 2 - j*w**3.
-(w + 1)**3*(w + 2)
Let o(s) be the second derivative of 0*s**2 + 0*s**3 + 1/10*s**4 + 22 + s + 4/105*s**7 - 1/5*s**6 + 4/25*s**5. Let o(z) = 0. What is z?
-1/4, 0, 1, 3
Let p(i) = i**4 + 4*i**3 + 5*i**2 + 2*i - 3. Let r(n) = 2 - 2*n - 5*n**2 + 15*n**4 - 3*n**3 - 24*n**4 - n**3 + 8*n**4. Let c(m) = -4*p(m) - 6*r(m). Factor c(h).
2*h*(h + 1)**2*(h + 2)
Let i be ((-192)/4)/8 - (692/519)/((-2)/9). Find l such that 16/7*l**3 - 2/7*l**5 + 0 + 0*l + 2*l**4 + i*l**2 = 0.
-1, 0, 8
Suppose -719*y**4 + 144*y - 24*y**3 + 96*y**2 + 7 + 695*y**4 - 3*y**5 - 7 = 0. Calculate y.
-6, -2, 0, 2
Let q(x) = 9*x**2 + 33*x - 3162. Let n be q(17). Let v be (1 - 11/(-5)) + -2. Factor -v*c + 13/5*c**2 - 6/5*c**3 + n.
-c*(2*c - 3)*(3*c - 2)/5
Suppose 57 + 117/2*c - 579/2*c**3 - 339/2*c**2 - 243/2*c**4 - 3*c**5 = 0. Calculate c.
-38, -1, 1/2
Let r(l) be the first derivative of l**5/5 - 9*l**4/2 - 180*l**3 + 7425*l**2 - 91125*l + 4285. Factor r(q).
(q - 15)**3*(q + 27)
Let i = 1820794 + -1820790. Factor -10/3*f**2 + 2/9*f**i - 4/9*f**3 + 8*f + 0.
2*f*(f - 3)**2*(f + 4)/9
Let r be (24/32)/((-78)/(-416)). Let m(t) be the third derivative of -1/75*t**5 + 1/150*t**6 + 0*t**3 + 12*t**2 + 0*t + 0 + 0*t**r. Find z such that m(z) = 0.
0, 1
Let b(t) be the first derivative of -108*t**5/5 + 327*t**4/4 - 111*t**3 + 117*t**2/2 - 3*t - 1974. Factor b(h).
-3*(h - 1)**3*(36*h - 1)
Suppose 410*u = 370*u. Let a(t) be the third derivative of -1/2*t**3 + u*t + 0 - 1/6*t**4 - 1/60*t**5 + 27*t**2. Factor a(q).
-(q + 1)*(q + 3)
Suppose -48*l + 9*l**2 - 50300*l**3 - 128 + 3*l**2 + 50302*l**3 = 0. Calculate l.
-8, -2, 4
Suppose 5*p = 48*m - 53*m - 4145, -3*m + 9 = 0. Let f = 832 + p. Factor f*l + 0 - 2*l**3 + 4/3*l**4 + 2/3*l**5 + 0*l**2.
2*l**3*(l - 1)*(l + 3)/3
Let h be ((-24)/(-576))/((-4)/((-16)/3)). Let a(k) be the first derivative of -h*