et 84/5 + 26/5*r - 12/5*r**2 - 2/5*r**3 = 0. Calculate r.
-7, -2, 3
Let c(q) = -36*q**2 + 12*q. Let g be c(1). Let u be (-4*((-208)/g - 6))/(-2). Solve -u*l**2 - 20/3 + 2/3*l**3 + 34/3*l = 0.
1, 2, 5
Factor -85*q**3 + 4627*q**4 + 1464*q + 24 + 1161*q**2 - 2315*q**4 - 2315*q**4 + 367*q**3 + 564.
-3*(q - 98)*(q + 1)**2*(q + 2)
Let z(j) be the first derivative of 4*j**5/5 - 34*j**4 + 400*j**3 - 1584*j**2 + 3796. Factor z(y).
4*y*(y - 22)*(y - 6)**2
Let s = -170 - -158. Let u be 33/(-24)*s/66. Let -u*x**4 - 5/4*x**3 - x**2 + 0 + 0*x = 0. What is x?
-4, -1, 0
Factor 236*t**2 - 2151*t + 9*t**3 + 19200 - 2816*t + 423*t - 5*t**3.
4*(t - 8)**2*(t + 75)
Let m = 15416/11571 - -4/3857. Let c(w) be the first derivative of 8*w - m*w**3 + 6*w**2 - 3*w**4 + 39 - 4/5*w**5. Factor c(g).
-4*(g - 1)*(g + 1)**2*(g + 2)
Solve -63/2*o**2 + 0*o + 0 + 1/2*o**4 + 9*o**3 = 0.
-21, 0, 3
Let -1/2*q**3 + 393129/2 - 1253/2*q**2 - 391875/2*q = 0. Calculate q.
-627, 1
Let z(l) be the third derivative of -11*l**6/630 - 8*l**5/105 + 2*l**4/7 + 13*l**3/2 - l**2 - 5*l. Let b(i) be the first derivative of z(i). Factor b(q).
-4*(q + 2)*(11*q - 6)/7
Let c(l) be the third derivative of l**6/24 - 101*l**5/12 - 65*l**4/3 + 170*l**3 - 2924*l**2. Factor c(y).
5*(y - 102)*(y - 1)*(y + 2)
Suppose -4*i + p + 2*p = 4551, 2*p = -3*i - 3426. Let k = i + 1142. Factor -2/5*g + 1/5*g**k + 0.
g*(g - 2)/5
Let z(h) be the first derivative of -3*h**5/5 - 21*h**4/4 + 14*h**3 + 72*h**2 + 3958. What is v in z(v) = 0?
-8, -2, 0, 3
Let k(q) be the second derivative of q**4/12 + 13*q**3/6 - 21*q**2/2 + 20*q. Let g be k(-21). Determine h, given that -5*h + 150 + h**2 - g + h = 0.
1, 3
Let h(f) be the first derivative of 205 + 64/33*f**3 + 5/22*f**4 + 0*f - 2/55*f**5 + 36/11*f**2. Determine w so that h(w) = 0.
-2, 0, 9
Let j(c) be the first derivative of c**5/15 + c**4/3 + c**3/9 - c**2 - 1670. Suppose j(s) = 0. Calculate s.
-3, -2, 0, 1
Let h be 180/42 + (-6)/21. Suppose -2*s + h = 2*o, 0 = 5*o + 4*s - 7 - 4. Determine z so that -2/3 + 1/3*z - 1/3*z**o + 2/3*z**2 = 0.
-1, 1, 2
Let v(o) = o**2 - 10*o - 65. Let h be v(-7). Suppose 4*u = -2*f + 58 + h, u + 59 = f. Find m, given that -113 + 63 + 578*m**2 - 88*m - 48*m + f = 0.
2/17
Suppose 28*j - 5*g = 26*j + 30, -3*g = 5*j - 75. Factor -8 + 3*l**4 - 25*l**5 - 16*l**3 + 16*l**5 + 3*l**4 + 10*l**5 + j*l + 2*l**2.
(l - 1)**3*(l + 1)*(l + 8)
Let o(x) be the third derivative of -x**6/40 + 7*x**5/5 + 195*x**4/8 + 153*x**3 - 1196*x**2. Factor o(i).
-3*(i - 34)*(i + 3)**2
Let z(m) be the third derivative of -m**8/30240 + m**7/1260 + 7*m**6/1080 + 101*m**5/60 + 24*m**2. Let a(g) be the third derivative of z(g). Factor a(t).
-2*(t - 7)*(t + 1)/3
Factor 13*f**5 + 33*f**5 - 634*f**3 - 316*f**2 + 6*f**5 - 54*f**5 - 320*f**4.
-2*f**2*(f + 1)**2*(f + 158)
Let r = -164 - -166. Determine h, given that -15*h**3 - 161*h**2 - 81*h**r + 131*h**2 - 192*h - 60 = 0.
-5, -2, -2/5
Factor -20412*v + 37306 - 165*v**3 + 5*v**4 - 19810 - 2*v**4 + 0*v**4 + 3078*v**2.
3*(v - 18)**3*(v - 1)
Let t(g) be the third derivative of g**7/350 - g**6/50 - 7*g**5/100 + g**4/4 + 2017*g**2 - g. Factor t(v).
3*v*(v - 5)*(v - 1)*(v + 2)/5
Suppose -11*u - 2*u + 41 = -24. Let a(g) be the second derivative of -1/20*g**u + 0 + 0*g**2 + 0*g**3 + 1/12*g**4 + 13*g. What is o in a(o) = 0?
0, 1
Let i(c) be the first derivative of -c**3/18 + 161*c**2/12 + 27*c - 3153. Factor i(p).
-(p - 162)*(p + 1)/6
Let f(j) be the third derivative of -j**5/15 + 55*j**4/6 - 36*j**3 - 61*j**2. Factor f(a).
-4*(a - 54)*(a - 1)
Let s(p) = 9*p + 68. Let x be s(-7). Factor 68*b**2 + 10*b**4 + 5*b + 65*b**2 - 5*b**x - 143*b**2.
-5*b*(b - 1)**3*(b + 1)
Let l(c) = -c**4 + c**2 + 5*c. Let u(z) = 156*z**4 - 969*z**3 + 798*z**2 + 45*z. Let h(v) = 6*l(v) - u(v). Solve h(b) = 0.
-1/54, 0, 1, 5
Let r(z) be the third derivative of z**6/480 + 13*z**5/240 - 19*z**4/16 - 1797*z**2. Factor r(s).
s*(s - 6)*(s + 19)/4
Let h be 4/(-6)*(-5 - -2). Suppose 3*j + 12 = 2*c, 4*c + c + 2*j = -8. Factor 9*k - k + c*k + 12*k**h - 5 + 1.
4*(k + 1)*(3*k - 1)
Determine o, given that 271/2*o**2 - 1/2*o**3 + 6525/2 - 2635/2*o = 0.
5, 261
Let z(a) = 762*a**2 - 1521*a + 18. Let v(h) = 1523*h**2 - 3043*h + 34. Let s(n) = 3*v(n) - 5*z(n). Factor s(q).
3*(q - 2)*(253*q - 2)
Let q = -2/197703 - -395416/988515. Factor q*b**4 - 28/5 - 78/5*b**2 - 22/5*b**3 - 82/5*b.
2*(b - 14)*(b + 1)**3/5
Let q(m) be the second derivative of 4 - 19*m + 1/42*m**7 + 0*m**6 - 3/20*m**5 + 0*m**3 + 0*m**2 + 1/6*m**4. Factor q(f).
f**2*(f - 1)**2*(f + 2)
Factor -2433218/9 + 7295242/9*q + 13234/9*q**2 + 2/3*q**3.
2*(q + 1103)**2*(3*q - 1)/9
Determine h so that 6*h + 1/7*h**4 + 0 - 41/7*h**2 - 2/7*h**3 = 0.
-6, 0, 1, 7
Let b(z) be the third derivative of z**8/420 - 8*z**7/525 + 14*z**5/75 - 17*z**4/30 + 4*z**3/5 - 998*z**2. Find t such that b(t) = 0.
-2, 1, 3
Let y(q) be the first derivative of -9*q**3 + 93*q**2/8 + 15*q/4 + 627. Factor y(r).
-3*(r - 1)*(36*r + 5)/4
Let b(i) be the third derivative of -23/3*i**4 - 1/15*i**5 + 0*i - 1058/3*i**3 + 0 + 41*i**2. Find g such that b(g) = 0.
-23
Let c(s) = -11*s - 119. Let a be c(-12). Factor a*t - 10*t**2 + 8 + 9*t + 7*t**2 - 12*t.
-(t - 4)*(3*t + 2)
Suppose -4*q + 4 = -2*q + 4*w, -5*q = 4*w - 10. Factor 576 - h**2 + 0*h**2 + 8*h**q - 3*h**2 - 96*h.
4*(h - 12)**2
Let a(o) = -7*o**3 - 24*o**2 + 29*o + 14. Let q(m) = 10*m**3 + 23*m**2 - 26*m - 15. Let r(i) = 3*a(i) + 4*q(i). Factor r(h).
(h + 1)**2*(19*h - 18)
Let x(f) be the first derivative of f**4/6 - 28*f**3/3 - 29*f**2 - 88*f/3 - 3379. Factor x(g).
2*(g - 44)*(g + 1)**2/3
Let c(o) be the first derivative of -o**6/15 + 102*o**5/25 + o**4/10 - 34*o**3/5 + 586. What is p in c(p) = 0?
-1, 0, 1, 51
Let u(f) be the first derivative of 5/3*f**3 - 72 + 5/4*f**4 + 0*f - 5*f**2. Solve u(q) = 0.
-2, 0, 1
Let a(g) be the first derivative of g**5/10 + 9*g**4/8 - 11*g**3 - 184*g**2 - 576*g + 3210. Suppose a(f) = 0. Calculate f.
-8, -2, 9
Let y be (0 + -4 - 0) + 9. Suppose -x + y*x - 16 = 0. Solve 12*o - 2*o - x*o**3 - 6*o - 8*o**2 + 8 = 0 for o.
-2, -1, 1
Let s = -8054 - -8068. Let c(g) be the second derivative of s*g + 1/60*g**5 - 5/36*g**4 + 2/9*g**3 + 0*g**2 + 0. Factor c(m).
m*(m - 4)*(m - 1)/3
Suppose 2*j = -v + 1 + 12, -v - 3*j + 10 = 0. Suppose 4*i + 7 - v = 0. Find u such that 4*u**i - 53*u**4 - 9*u + 2*u**3 - 2*u**2 + 3*u + 4 + 51*u**4 = 0.
-1, 1, 2
Let f be ((282/(-14))/(-3) - (5208 - 5201)) + (-16)/(-7). Factor 80*c**4 - 12960*c + 17280 + 5/2*c**5 + 360*c**f + 730*c**3.
5*(c - 2)**2*(c + 12)**3/2
Let b = 721/8460 - 4/2115. Let k(m) be the second derivative of b*m**4 + 0 - 3/4*m**2 - 4*m + 1/84*m**7 + 1/60*m**6 - 3/20*m**5 + 5/12*m**3. Factor k(u).
(u - 1)**3*(u + 1)*(u + 3)/2
Let 3/2*l**3 + 129/2*l**2 + 393*l + 540 = 0. Calculate l.
-36, -5, -2
Let y(x) be the second derivative of 30*x + 1/48*x**4 + 1/80*x**5 + 0 + 0*x**2 + 0*x**3. Factor y(m).
m**2*(m + 1)/4
What is j in -4424*j - 611610*j**2 + 286*j**3 + 41938*j**4 + 569680*j**4 + 4138*j**3 - 8 = 0?
-1, -2/553, 1
Let c(g) be the third derivative of -g**5/15 - 57*g**4/2 - 340*g**3/3 - 1183*g**2. Solve c(d) = 0.
-170, -1
Let v be -3*((-32)/(-6))/(-8). Let a(p) = p**3 + 2*p**2 + p - 2. Let j be a(v). Factor -30*g + j*g - 12*g**2 - 2*g**3 - 12 - 8*g.
-2*(g + 1)*(g + 2)*(g + 3)
Let r be -1*12/(-5) + (-246)/615. Factor -1 - 16*z**r + 19*z**3 + 5/2*z**5 - 11*z**4 + 13/2*z.
(z - 1)**4*(5*z - 2)/2
Let n(k) be the third derivative of k**7/42 - 10*k**6/3 + 133*k**5 + 200*k**4/3 - 16000*k**3/3 - 3865*k**2. Determine m so that n(m) = 0.
-2, 2, 40
Suppose 4*s = 20, -j - 10 + 63 = -2*s. Solve 4*c + c + j - 5*c**2 - 63 + 5*c**4 - 5*c**3 = 0 for c.
-1, 0, 1
Let q(u) be the second derivative of -1/28*u**4 + 0*u**2 + 25/14*u**3 + 3 + 13*u. Factor q(n).
-3*n*(n - 25)/7
Let h be 42/4*176/308. Let z(k) = 12*k - 70. Let w be z(h). Find g, given that 3/2*g**3 - 3/2 - 9/2*g**w + 9/2*g = 0.
1
Let r(j) be the second derivative of -j**7/98 - 29*j**6/14 - 429*j**5/70 + j**4/14 + 41*j**3/2 + 429*j**2/14 + 10*j + 106. Find q such that r(q) = 0.
-143, -1, 1
Let n(l) be the second derivative of 71*l**7/98 - 143*l**6/70 + 3*l**5/70 - 2303*l - 1. Factor n(t).
3*t**3*(t - 2)*(71*t - 1)/7
Let 81/5*t**2 + 16/5 + 88/5*t - 58/5*t**3 + 8/5*t**4 = 0. Calculate t.
-1/2, -1/4, 4
Suppose -2