2 + 5/48*p**4. Let g(a) = 0. Calculate a.
3
Let b = -178670 + 178672. Factor 4 + 10/3*j - 2/3*j**b.
-2*(j - 6)*(j + 1)/3
Let l(h) be the second derivative of 7*h**7/3 - 224*h**6/15 - 204*h**5/5 - 96*h**4/7 + 144*h**3/7 - h + 221. Determine o so that l(o) = 0.
-6/7, 0, 2/7, 6
Let -486*q**3 - 234*q**3 - 390*q + 754*q**3 + 2*q**4 + 782*q**2 - 428*q**3 = 0. What is q?
0, 1, 195
Let x = 325067 + -3250649/10. Suppose 13/5*b**3 + x*b**5 + 5*b**4 - 7/10*b - 6/5*b**2 + 1/5 = 0. Calculate b.
-1, 2/7, 1/3
Let n be 69/33 + -3*2/66. Let b be n + -3 + -6 - -9. Suppose 0 - z + 1/2*z**4 - 1/2*z**b + z**3 = 0. Calculate z.
-2, -1, 0, 1
Factor -20*z**2 - 398 + 314*z + 588*z**3 - 590*z**3 + 34 - 168.
-2*(z - 7)*(z - 2)*(z + 19)
Factor -29280*a - 1137/2*a**3 - 27*a**4 - 1/2*a**5 - 5836*a**2 - 57600.
-(a + 8)**3*(a + 15)**2/2
Find m, given that 248*m**2 + 1060*m**2 - 19*m**4 + 4*m**4 - 288*m**2 + 2637*m**3 + 418*m**3 = 0.
-1/3, 0, 204
Let x(y) = -5*y**4 - y**2 + 1. Let d(q) = 26*q**4 - 56*q**3 + 138*q**2 + 56*q - 134. Let u(s) = -d(s) - 6*x(s). Suppose u(f) = 0. Calculate f.
-16, -1, 1, 2
Let -303*w + 911/4*w**3 - 2 + 303/4*w**4 + 3/2*w**2 = 0. Calculate w.
-2, -2/303, 1
Let c = -206 + 120. Let y = -84 - c. Let 0 + 2 + 5*g**3 - 5*g + 4*g**y + g**2 - 7 = 0. Calculate g.
-1, 1
Let r(h) = 3*h**5 + 27*h**4 + 33*h**3 - 222*h**2 - 3. Let b(g) = -g**4 - g**3 - 2*g**2 - 1. Let i(p) = -3*b(p) + r(p). What is a in i(a) = 0?
-6, 0, 2
Find z such that -5*z**3 - 15*z**4 + 43*z - 5*z**5 + 39*z**2 - 33*z - 24*z**2 = 0.
-2, -1, 0, 1
Let m(g) be the second derivative of -g**4/78 + 34*g**3/39 + 35*g**2/13 - 280*g. What is d in m(d) = 0?
-1, 35
Let n(j) = -3*j**3 + 1137*j**2 + 1230*j + 18. Let p(s) = -s**3 + 325*s**2 + 351*s + 5. Let v(h) = -5*n(h) + 18*p(h). What is l in v(l) = 0?
-1, 0, 56
Let c(q) be the first derivative of -32/35*q**5 - 2/7*q**2 - 4/7*q + 8/21*q**6 + 42 + 20/21*q**3 + 1/7*q**4. Find v, given that c(v) = 0.
-1/2, 1
Let r(d) be the third derivative of d**6/120 + 3*d**5/10 - 7*d**4/8 - 6*d**3 + 711*d**2. Let b be r(-19). Factor -9/4*w**3 - 3/4*w - 9/4*w**b - 3/4*w**4 + 0.
-3*w*(w + 1)**3/4
Suppose 61*k + 43 = 62*k + 4*w, -3*k - 2*w = -89. Suppose 0 = -k*t - 7*t + 68. Factor 0 - 1/2*o + 7/4*o**t - 2*o**3 + 3/4*o**4.
o*(o - 1)**2*(3*o - 2)/4
Let k(q) = -q**3 - 20*q**2 - 2*q - 36. Let b be k(-20). Factor -u**b - 2*u**4 + 27*u - 9*u**3 - 6*u**2 - 27*u.
-3*u**2*(u + 1)*(u + 2)
Let s = -500595/2 - -250311. Factor 27/2*v**3 + 3 - s*v - 3*v**2.
3*(v - 1)*(v + 1)*(9*v - 2)/2
Let 7125/4*h**3 - 11325/8*h**2 + 555/2*h + 3/2 = 0. What is h?
-1/190, 2/5
Solve 302*g + 134 + 252*g**3 + 76*g**2 - 250*g**3 - 1058 = 0.
-33, -7, 2
Suppose -127*i + 132*i - a + 6 = 0, -5*a + 30 = 3*i. Let i - 3*n - 15/2*n**2 - 3*n**3 = 0. Calculate n.
-2, -1/2, 0
Let g(t) be the second derivative of t**6/105 - 61*t**5/70 + 49*t**4/3 + 7684*t**3/21 + 6936*t**2/7 + 1064*t + 5. What is m in g(m) = 0?
-6, -1, 34
Let f(z) be the third derivative of z**6/40 + 3*z**5/5 + 47*z**4/8 + 30*z**3 - 570*z**2 - 2*z. Solve f(d) = 0 for d.
-5, -4, -3
Let f(u) be the first derivative of 1/21*u**3 - 9/7*u - 4/7*u**2 + 86. Solve f(b) = 0.
-1, 9
Let g = 8429/1370 + 287/274. Factor 121/5 + g*w**2 + 132/5*w.
(6*w + 11)**2/5
Let k(o) be the first derivative of -2*o**5/5 - 31*o**4/2 - 226*o**3 - 1529*o**2 - 4840*o - 359. Factor k(c).
-2*(c + 4)*(c + 5)*(c + 11)**2
Let j(k) be the second derivative of k**6/90 + 2*k**5/3 + 50*k**4/3 + 257*k**3/6 + 18*k - 6. Let u(m) be the second derivative of j(m). Solve u(w) = 0.
-10
Let g(f) be the second derivative of f**5/60 - 379*f**4/18 + 1513*f**3/18 - 126*f**2 - 3270*f. Factor g(d).
(d - 756)*(d - 1)**2/3
Suppose 0 = -4*w - w. Suppose w = -3*s - c + 3 + 9, -3*c + 9 = 0. What is g in 10*g**4 - 13*g**4 - 4*g + g**2 + g**3 + s*g**3 + 2*g**4 = 0?
-1, 0, 1, 4
Let -67*j - 2*j**2 - 72 + 110*j - 76*j + 2*j**2 - 3*j**2 = 0. What is j?
-8, -3
Let d be (2 + -2 + -4)*-7. Suppose -21*b + d*b = 28. Determine f so that 1/3*f**b - 1/3*f**5 - 1/3*f**2 + 5/3*f**3 - 8/3*f - 4/3 = 0.
-1, 2
Let p = -85 - -87. Let d = 596 + -1784/3. Factor 0*w**3 + 4/3*w**4 + 0 + 0*w - d*w**p.
4*w**2*(w - 1)*(w + 1)/3
Let z = 1589 - 11122/7. Let d(k) be the first derivative of -1/35*k**5 + 1/14*k**4 - 4/7*k**2 - 5 + 4/7*k + z*k**3. Suppose d(x) = 0. Calculate x.
-2, 1, 2
Let t(n) = -178*n - 707. Let z be t(-4). Solve -6/7*a**z - 20/7*a**2 + 26/7*a - 6/7 + 26/7*a**4 - 20/7*a**3 = 0.
-1, 1/3, 1, 3
Suppose 12 + 5 = q. Suppose q*y**3 - 15*y**5 + 8*y**5 + 13*y**3 - 14*y**4 + 9*y**5 - 26*y**2 + 8*y = 0. What is y?
0, 1, 4
Let h(a) be the third derivative of 2*a**7/105 - 42*a**6/5 + 50*a**5 - 374*a**4/3 + 166*a**3 + 3*a**2 + 602*a. Factor h(j).
4*(j - 249)*(j - 1)**3
Let f(o) be the second derivative of -52*o + 3/130*o**5 - 24/13*o**2 - 41/78*o**4 + 0 + 62/39*o**3. Solve f(r) = 0 for r.
2/3, 1, 12
Let x = -872 + 856. Let l be ((-32)/12)/(x/12). Factor 0*q - 3/2*q**4 - 3*q**3 + 0 - 3/2*q**l.
-3*q**2*(q + 1)**2/2
Determine z, given that 402 + 91039*z + 91451*z - 183087*z - 9*z**2 = 0.
-67, 2/3
Let h(f) = 11*f**2 - 45*f - 4. Let q(k) = 27*k**2 + 15*k**2 - 180*k + 177 - 192. Let b(m) = 15*h(m) - 4*q(m). What is v in b(v) = 0?
0, 15
Suppose 2211 = -2586*j + 3323*j. Factor -1/6*q**4 - 8/3*q + 3*q**2 - 17/6 + 8/3*q**j.
-(q - 17)*(q - 1)*(q + 1)**2/6
Let a(m) be the first derivative of -5/6*m**6 - 35/4*m**4 + 5*m**3 + 0*m**2 + 0*m + 5*m**5 + 76. Let a(b) = 0. What is b?
0, 1, 3
Let v be -38 + (-6942)/(-182) + 321/105. Find t such that -v*t**2 - 4/5*t**3 + 0 - 12/5*t = 0.
-3, -1, 0
Suppose 0 = 6*j + 4*v - 50, -2*j + 4*v - 77 + 51 = 0. Let -3/5 + 3/5*o**2 + 3/5*o**j - 3/5*o = 0. What is o?
-1, 1
Suppose 3*p = -17*p + 40. Let t(k) = 5*k**2 - 69*k - 162. Let w(o) = 21*o**2 - 276*o - 654. Let v(s) = p*w(s) - 9*t(s). Factor v(r).
-3*(r - 25)*(r + 2)
Let a be -5 + -6*6701/(-66). Let i = a + -604. Factor -2/11 + i*s**2 + 0*s.
2*(s - 1)*(s + 1)/11
Let y(i) be the third derivative of i**5/15 + 8*i**4/3 - 34*i**3/3 - 244*i**2. Factor y(r).
4*(r - 1)*(r + 17)
Let v(i) be the second derivative of -1/5*i**3 + 0*i**2 - 10*i + 7 - 7/60*i**4 + 0*i**5 + 1/150*i**6. Factor v(l).
l*(l - 3)*(l + 1)*(l + 2)/5
Let j(h) be the second derivative of h**6/40 + 87*h**5/80 + 11*h**4/16 - 461*h**3/8 + 315*h**2/2 - 136*h - 9. Find a such that j(a) = 0.
-28, -5, 1, 3
Let -19/8*s**2 + 0 + 1/8*s**3 + 6*s = 0. What is s?
0, 3, 16
Let i(x) be the third derivative of -1/90*x**6 - 1/105*x**7 - 143*x**2 + 0*x**4 + 1/90*x**5 + 0*x**3 + 0*x + 0. Solve i(g) = 0.
-1, 0, 1/3
Solve 11552/7*k - 304/7*k**2 + 0 + 2/7*k**3 = 0 for k.
0, 76
Let v be -17*(-154)/(-238) + 28/2. What is j in -2/7*j**v + 0 - 10/7*j - 12/7*j**2 = 0?
-5, -1, 0
Let b(u) be the second derivative of -u**5/16 + 55*u**4/48 - 175*u**3/24 + 125*u**2/8 + 44*u. Factor b(w).
-5*(w - 5)**2*(w - 1)/4
Factor 6932/3*g - 12013156/3 - 1/3*g**2.
-(g - 3466)**2/3
Let v(h) be the third derivative of h**5/20 - 445*h**4/4 + 198025*h**3/2 + h**2 - 993*h. Let v(p) = 0. Calculate p.
445
Suppose -3*l = -18 - 21. Suppose 8*f - l*f = -15. Find p such that 10 + 7*p**2 + f*p**2 + 5*p**4 + 25*p**3 + 35*p**2 + 35*p = 0.
-2, -1
Determine k, given that -79*k**2 - 108*k - 33*k**4 - 1406 + 4*k**2 + 3*k**5 + 827 + 105*k**3 + 687 = 0.
-1, 1, 2, 3, 6
Let i(k) be the second derivative of 0 + 1/4*k**4 + 3/20*k**5 + 0*k**2 - 1/10*k**6 - 58*k - 1/2*k**3. Find b, given that i(b) = 0.
-1, 0, 1
Let q(b) be the first derivative of -b**4/4 - 31*b**3/3 + 65*b**2/2 - 28*b + 118. Let f be q(-33). Factor 0*s**2 + 1/2*s**f - 1/2*s**3 + 0*s**4 + 0 + 0*s.
s**3*(s - 1)*(s + 1)/2
Suppose -428*v = -416 - 440. Factor 76/5*f**v - 9/5*f**4 + 0 + 16/5*f + 16/5*f**3.
-f*(f - 4)*(f + 2)*(9*f + 2)/5
Let m(i) be the second derivative of -i**5/70 + 133*i**4/2 - 649605*i**3/7 - 1951609*i**2/7 + 3635*i. Factor m(v).
-2*(v - 1397)**2*(v + 1)/7
Let h(j) be the second derivative of j**5/72 + 25*j**4/48 - 59*j**2/2 - 71*j. Let u(y) be the first derivative of h(y). What is f in u(f) = 0?
-15, 0
Let q be 180/14*((-5604)/36 + 2). Let h = 1976 + q. Suppose -12/7*a**2 - h*a**3 - 6/7*a + 20/7 = 0. What is a?
-5, -2, 1
Find u, given that 16620/7*u - 11509350/7 - 6/7*u**2 = 0.
1385
Let b(m) be the third derivative of -m**9/30240 + m**7/5040 + 13*m**4/6 + 48*m**2. Let r(o) be the second 