6*z**3/3 - 59. Let r(p) be the third derivative of x(p). Factor r(h).
-h*(13*h + 8)/9
Let r = -111 - -135. Find a, given that 5*a**5 + 5*a + 5*a**4 + r*a - 10*a**3 - 29*a = 0.
-2, 0, 1
Let t(q) be the second derivative of q**6/840 - 5*q**5/28 - 51*q**4/56 - 21*q**3/2 + q**2/2 - 22*q. Let d(o) be the second derivative of t(o). Factor d(c).
3*(c - 51)*(c + 1)/7
Let t = 237 + -217. Let k = t - 20. Factor -2/7*y**2 + 2/7 + k*y.
-2*(y - 1)*(y + 1)/7
Let n = -1388308/21 + 66110. Determine j, given that -2/7*j + 0 - n*j**2 = 0.
-3, 0
Let w(f) = -6*f + 18*f + 22 - 6*f - 8*f. Let m be w(9). Find v, given that 64*v**3 - 2*v**4 - 19*v**m - 24*v**2 + 32 - 48*v - 20*v**3 + 9*v**4 = 0.
-1, 2/3, 2
Suppose -28 = -4*k, 90*l - 5*k + 27 = 88*l. Let r(j) be the second derivative of -1/32*j**l - 3/8*j**3 - 15/16*j**2 + 0 + 18*j. Solve r(d) = 0 for d.
-5, -1
Suppose -70741*t - 111 = -70760*t - 35. Let a(v) be the first derivative of 0*v**t - 1/24*v**6 + 0*v - 6 + 1/10*v**5 + 1/8*v**2 - 1/6*v**3. Solve a(p) = 0.
-1, 0, 1
Let t be (-292730)/(-18396) - (-10)/(-28). Factor -136/9*l + 4/9*l**2 - t.
4*(l - 35)*(l + 1)/9
Let w(j) be the third derivative of -j**6/600 - 7*j**5/150 - 13*j**4/120 - 2*j**2 + 1586. Factor w(r).
-r*(r + 1)*(r + 13)/5
Let t(b) be the third derivative of 4/15*b**3 + 0*b + 0 + 1/150*b**6 - 23*b**2 - 1/10*b**4 + 0*b**5. Factor t(s).
4*(s - 1)**2*(s + 2)/5
Let s(u) be the first derivative of u**6/57 + 14*u**5/95 + 9*u**4/38 - 46*u**3/57 - 50*u**2/19 - 48*u/19 - 500. Determine a, given that s(a) = 0.
-4, -3, -1, 2
Let j(b) be the third derivative of -b**6/300 - 29*b**5/150 - 37*b**4/30 + 104*b**3/15 + 1775*b**2. What is f in j(f) = 0?
-26, -4, 1
Let m = 334 - 198. Solve 28*o - 49 - 185 - 2*o**2 + m = 0.
7
Let -22/5*v**4 + 2/5*v**5 + 92/5*v**3 - 36*v**2 + 162/5*v - 54/5 = 0. Calculate v.
1, 3
Factor 0 + 1270/13*a**3 + 0*a + 2/13*a**4 + 1268/13*a**2.
2*a**2*(a + 1)*(a + 634)/13
Suppose 105*b + 18312 = 2394*b. Factor -39/2*w**2 + 17/4*w**3 + 32 - 1/4*w**4 + b*w.
-(w - 8)**2*(w - 2)*(w + 1)/4
Let y(o) be the second derivative of o**5/120 + 103*o**4/18 + 10400*o**3/9 - 43264*o**2/3 + 6*o - 759. Solve y(n) = 0.
-208, 4
Let t be (-1)/(-3) + (-20)/120. Let y(d) be the second derivative of 1/10*d**5 - 13*d - 1/3*d**3 + 1/15*d**6 + 0 - t*d**4 + 0*d**2. Factor y(p).
2*p*(p - 1)*(p + 1)**2
Let r(q) be the first derivative of q**6/40 - 2*q**5/5 + 9*q**4/8 + 9*q**3 - 13*q**2 + 80. Let c(p) be the second derivative of r(p). Let c(u) = 0. What is u?
-1, 3, 6
Let v be ((-1)/2)/(((-282905)/(-822))/(-295)). Suppose v*z**2 + 13467/7 + 402/7*z = 0. What is z?
-67
Let x(s) = -50*s**3 - 3*s**2 + 27. Let h be x(-3). Suppose 1350 = m + h. Factor m*d**3 + 0*d + 0 - 4/3*d**2 + 1/3*d**4.
d**2*(d - 2)*(d + 2)/3
Let r(h) = 17*h**3 + 741*h**2 + 1487*h + 756. Let w(t) = -14*t**3 - 742*t**2 - 1490*t - 756. Let s(p) = 6*r(p) + 7*w(p). What is x in s(x) = 0?
-1, 189
Let -4/3*k + 1/3*k**2 - 32/3 = 0. What is k?
-4, 8
Let j(f) be the second derivative of -13/10*f**2 - 58*f + 1/60*f**4 + 0 - 2/5*f**3. Let j(k) = 0. Calculate k.
-1, 13
What is n in -1385*n - 363*n**2 + 720 - 894*n - 3*n**3 + 1925*n = 0?
-120, -2, 1
Let t be (-2120)/14310*(-31 + 4). Suppose -2/3*j + 4/3*j**2 - 1/3*j**t - 1 + 2/3*j**3 = 0. What is j?
-1, 1, 3
Let k(x) be the second derivative of x**4/120 - 4*x**3/3 - 41*x**2/5 + 3*x - 68. Factor k(g).
(g - 82)*(g + 2)/10
Let l = -10861 + 10867. Let c(z) be the third derivative of 0*z + 0 + 0*z**4 - 2/15*z**3 - 16*z**2 + 1/100*z**5 + 1/600*z**l. Factor c(q).
(q - 1)*(q + 2)**2/5
Determine u so that -40 + 637 + 123 - 5*u**2 - 970*u + 255 = 0.
-195, 1
Let t(m) be the third derivative of -2*m**7/105 + 71*m**6/120 + 29*m**5/10 + 119*m**4/24 + 10*m**3/3 - 1011*m**2. Suppose t(k) = 0. Calculate k.
-1, -1/4, 20
Let w = -1045 + 1045. Let i(f) be the second derivative of 5*f + 5/12*f**4 + w - 5/6*f**3 - 5*f**2. Factor i(o).
5*(o - 2)*(o + 1)
Let g(d) be the third derivative of -d**6/320 - 17*d**5/160 + 81*d**4/32 - 9*d**3 + 937*d**2. Determine k so that g(k) = 0.
-24, 1, 6
Let n = 351 - 346. Suppose 14*l**4 + n*l**2 - 64 - 20*l**3 - 4*l**5 - 45*l**2 + l**5 + 112*l + l**5 = 0. What is l?
-2, 1, 2, 4
Suppose -1498 + 1454 = -11*d. Let t(q) be the second derivative of 0*q**2 - 9*q - 1/9*q**d + 1/30*q**5 + 1/9*q**3 + 0. Solve t(u) = 0 for u.
0, 1
Let r(p) be the third derivative of p**7/1050 + p**6/20 + 63*p**5/100 - 76*p**4/15 - 128*p**3/5 - 2479*p**2. Solve r(n) = 0.
-16, -1, 3
Let x be (-159)/318*(-2)/28. Let n(h) be the third derivative of 0 + x*h**4 + 4/21*h**3 + 24*h**2 + 1/420*h**5 + 0*h. Factor n(o).
(o + 2)*(o + 4)/7
Let r be 2/2 + (-9)/(-9). Suppose -4*v - 5*m = 13, -r*m = v - 4 + 11. Factor 10*a + 1 + 4*a + 3*a**2 - 11*a + 0*a**2 + a**v.
(a + 1)**3
Determine w, given that 156*w**2 + 42*w**3 - 468*w - 83*w**4 - 2455 + 5128 + 87*w**3 - 3*w**5 - 2433 + 29*w**4 = 0.
-20, -2, 1, 2
Let f(a) be the first derivative of -a**4/8 - 13*a**3/2 + 81*a**2/4 - 41*a/2 + 936. Factor f(h).
-(h - 1)**2*(h + 41)/2
Determine b so that -14/5 + 8/15*b**2 - 10/3*b = 0.
-3/4, 7
Suppose -a - 4*f = -40, -4*a + 4*f + 140 = -2*a. Let z = a - 49. Factor 80*t**3 + 196*t - 27*t**3 - 24 - 594*t**2 + z*t**3 + 178*t**2.
4*(t - 6)*(4*t - 1)**2
Let z(m) = 8*m**4 + 6*m**3 - 157*m**2 - 299*m. Let p(k) = -33*k**4 - 24*k**3 + 630*k**2 + 1197*k. Let s(f) = 5*p(f) + 21*z(f). Factor s(r).
3*r*(r - 7)*(r + 2)*(r + 7)
Find w, given that -264*w**2 + 216*w - 490/3*w**3 - 2*w**4 + 640/3 = 0.
-80, -2, -2/3, 1
Suppose 0 = -w - 5*z + 22, 3*w - 22 = 7*w - 2*z. Let o be 1/(w - (-44)/8). Factor 2/5*l**2 - 2/5*l**4 - 2/5*l**3 + o*l + 0.
-2*l*(l - 1)*(l + 1)**2/5
Let u be (-2708)/32 + (-30)/(-15). Let k = u + 83. What is r in -k*r**2 + 3/8*r**3 - 3/4*r + 0 = 0?
-1, 0, 2
Suppose 0 = q + 7 + 8. Let n be (-1)/(-5) - 672/q. Solve 15*d + 2*d**2 + 13*d + 11*d - n*d = 0.
0, 3
Let a(b) be the second derivative of 1/4*b**4 + 1/10*b**6 + 0*b**2 + 38*b + 0 + 0*b**3 - 3/10*b**5. Factor a(g).
3*g**2*(g - 1)**2
Let b(a) be the second derivative of -1/9*a**4 + 2*a - 1058/3*a**2 - 92/9*a**3 - 21. Factor b(q).
-4*(q + 23)**2/3
Let i(o) be the second derivative of -o**6/1980 - o**5/60 - 8*o**3/3 + o**2/2 + 53*o. Let y(c) be the second derivative of i(c). Let y(p) = 0. Calculate p.
-11, 0
Let b(z) = 24*z + 243. Let h be b(-10). Let 56*s**h + 1055*s**4 + 1055*s**4 - 17 - 35 - 2106*s**4 + 48*s**2 - 56*s = 0. Calculate s.
-13, -1, 1
Let r be 21 - (55 + -69 + 35). Let r + 1/5*d**4 - 1/5*d**2 + 1/5*d**3 - 1/5*d**5 + 0*d = 0. What is d?
-1, 0, 1
Determine d so that -16*d**2 + 272/9*d + 4/9*d**3 + 0 = 0.
0, 2, 34
Let q(o) = -o**3 - 8*o**2 + 9*o + 18. Let x be q(-9). Let t(k) be the first derivative of x*k**2 - 36*k**3 - 5 - 2 - 51*k + 48*k. Solve t(y) = 0 for y.
1/6
Let w = -342994/7 + 343054/7. Let -386/7*f**2 - 512/7 - 2/7*f**4 + w*f**3 - 960/7*f = 0. Calculate f.
-1, 16
Let k = 257/2565 + -11/114. Let w(a) be the third derivative of k*a**5 + 13*a**2 + 0*a - 1/54*a**4 + 0 + 0*a**3. Factor w(z).
2*z*(z - 2)/9
Let q(r) be the second derivative of r**7/126 - 13*r**6/90 + 41*r**5/60 - 47*r**4/36 + r**3 - r - 1. Factor q(d).
d*(d - 9)*(d - 2)*(d - 1)**2/3
Let b be (-12)/20 - (-615722)/82170. Let h = -4/913 + b. Suppose -h*p + 32/9*p**3 - 112/9*p**2 - 8/9 = 0. What is p?
-1/4, 4
Let q(b) = 4*b**3 + 63*b**2 + 303*b + 503. Suppose 0 = 14*x - 11 - 45. Let y(s) = 3*s + x + 64*s**2 - 3 - 2*s - 63*s**2. Let f(l) = q(l) - 3*y(l). Factor f(i).
4*(i + 5)**3
Let g(a) be the third derivative of a**5/12 - 235*a**4/6 - 640*a**3 + 2103*a**2 - a. Solve g(i) = 0 for i.
-4, 192
Let g(d) = 7*d**4 + 29*d**3 + 111*d**2 - 301*d + 160. Let o(z) = 88*z**4 + 376*z**3 + 1444*z**2 - 3912*z + 2080. Let h(b) = -76*g(b) + 6*o(b). Factor h(r).
-4*(r - 16)*(r - 1)**2*(r + 5)
Let o(q) be the third derivative of -3*q**2 + 0*q + 22/3*q**3 - 129/20*q**4 + 8 + 7/150*q**5. Suppose o(n) = 0. What is n?
2/7, 55
Let s(w) = -4*w + 67. Let q be s(16). Suppose m = q*r - 26, 3*r = 8*r + 3*m - 62. Solve 5/2 + 10*d**3 + r*d + 5/2*d**4 + 15*d**2 = 0.
-1
Determine p, given that 90 - 69*p + 160*p**3 - 84*p**2 - 27*p**3 - 6*p**4 - 64*p**3 = 0.
-1, 1, 3/2, 10
Let o = -1838 + 1843. Let j(g) be the first derivative of 18 + 1/2*g**6 + 0*g + 0*g**2 + 3/4*g**4 - 6/5*g**o + 0*g**3. Let j(p) = 0. What is p?
0, 1
Let 