499/6*a**3 = 0. Calculate a.
-1, 2/5, 1, 26
Let c(z) be the third derivative of z**6/32 - 79*z**5/40 - 101*z**4/8 - 17*z**3 - 7174*z**2. Factor c(l).
3*(l - 34)*(l + 2)*(5*l + 2)/4
Let q(r) be the first derivative of 1/10*r**6 - 3/10*r**5 + 26*r - r**4 + r**3 + 9/2*r**2 + 8. Let h(o) be the first derivative of q(o). Factor h(y).
3*(y - 3)*(y - 1)*(y + 1)**2
Determine v so that -47*v - 7*v - 316*v**3 - 532*v**2 + 768 + 127*v - 9*v + 58*v**3 - 2*v**5 - 40*v**4 = 0.
-8, -3, -2, 1
Suppose 23*u + 96*u - 45 - 15 - 90 - 50*u + 3*u**2 = 0. What is u?
-25, 2
Let q be 36 + (3584/(-80))/(-8)*20/(-8). Solve 1/2*u**3 + q + 24*u + 15/2*u**2 = 0.
-11, -2
Let i(t) = t**3 - 11*t**2 + 10*t + 1. Let v be i(10). Let x be v - (2 - (3/1 + 1)). Factor -20*m**x - 7*m**4 + 23*m**3 + 16*m**4.
3*m**3*(3*m + 1)
Let c(j) = -11*j**5 - j**4 + 2. Let p(o) = -120*o**5 - 55*o**4 + 160*o**3 + 6784*o**2 + 34048*o + 50198. Let l(b) = -55*c(b) + 5*p(b). Solve l(y) = 0 for y.
-4, 28
Let v(h) be the first derivative of 7*h**5/20 - 97*h**4/8 + 1771*h**3/12 - 1287*h**2/2 - 405*h + 212. Suppose v(p) = 0. Calculate p.
-2/7, 9, 10
Let s(g) = -2*g**3 - 29*g**2 - 16*g - 26. Let u be s(-14). Let t(v) = v**2 + v - 2. Let i(p) = 7*p + 5. Let z(w) = u*i(w) - 2*t(w). Let z(l) = 0. Calculate l.
-1, 7
Let v(w) be the third derivative of -w**7/1155 + 7*w**6/110 - 34*w**5/33 - 7*w**4/22 + 31*w**3/3 + 63*w**2 + 25*w. Find j such that v(j) = 0.
-1, 1, 11, 31
Let h(y) be the second derivative of 17/4*y**4 + 6 - 19/2*y**3 + 4*y + 3*y**2. Solve h(p) = 0.
2/17, 1
Let u(m) be the third derivative of -m**5/15 + 775*m**4/3 - 1201250*m**3/3 + 132*m**2. Factor u(f).
-4*(f - 775)**2
Let z(a) = -1685*a + 40442. Let b be z(24). Factor -9/5*v**b + 12/5*v**3 + 0 + 2/5*v - v**4.
-v*(v - 1)**2*(5*v - 2)/5
Suppose -400*m + 108 = -183*m - 205*m. Let y(l) be the first derivative of m + 5/2*l**2 + 10*l - 5/3*l**3. Factor y(s).
-5*(s - 2)*(s + 1)
Let v be ((-414)/156)/(2/(-24)) + (-35)/((-4550)/20). Factor 4/7*p**2 + 576/7 + 4/7*p**3 - v*p.
4*(p - 4)**2*(p + 9)/7
Let l(s) be the first derivative of -122 + 0*s**2 + 0*s**3 + 0*s**4 + 0*s - 2/15*s**5. Factor l(b).
-2*b**4/3
Let w be (-14)/(64/(8 - 12) + 38 + -29). Find z, given that -867/7*z**w + 51/7*z - 1/7 + 4913/7*z**3 = 0.
1/17
Suppose 488*m + 69*m**2 + 513 - 2*m**3 + 42*m**2 - 17 + 5*m**2 = 0. Calculate m.
-2, 62
Let u(s) = 6*s**5 + s**4 + 5*s**3 + 3*s**2. Let g(f) = -2*f**5 - 2*f**4 + f**3. Let p(r) = 5*g(r) + u(r). Suppose p(v) = 0. What is v?
-3, -1/4, 0, 1
Let p(k) be the second derivative of -5*k**7/14 + 41*k**6/6 - 19*k**5/4 - 445*k**4/12 - 65*k**3/3 + 1345*k - 2. What is i in p(i) = 0?
-1, -1/3, 0, 2, 13
Let b(w) be the third derivative of -4*w + 0 + 3/70*w**7 + 3/4*w**4 + 8*w**2 + 0*w**3 + 1/112*w**8 - 3/40*w**6 - 7/20*w**5. Factor b(s).
3*s*(s - 1)**2*(s + 2)*(s + 3)
Let t(f) = 2*f**2 + 98*f + 18. Suppose 4*z = 3*l - 16, -26*z - 13 = -3*l - 25*z. Let q(k) = -k**2 - 49*k - 8. Let n(s) = l*t(s) + 9*q(s). Factor n(x).
-x*(x + 49)
Suppose -3*o - 73 = 4*c - 78, 2*c - o = 5. Find t such that -11/2*t**c + 0 + 1/4*t**3 + 121/4*t = 0.
0, 11
Let g(b) be the second derivative of -b**4/3 - 52*b**3/3 + 240*b**2 - 38*b + 20. Find q, given that g(q) = 0.
-30, 4
Determine t so that 71/4*t + 39/2*t**3 - t**4 - 13/4*t**5 + 32*t**2 + 3 = 0.
-1, -4/13, 3
Let i(s) = -9*s**3 - 66*s**2 + 177*s + 1074. Let o(u) = -11*u**3 - 67*u**2 + 176*u + 1058. Let y(x) = -7*i(x) + 6*o(x). Factor y(r).
-3*(r - 13)*(r - 10)*(r + 3)
Let d(q) be the first derivative of -1/25*q**5 + 8/5*q**2 - 6/5*q**3 + 15*q + 3 + 2/5*q**4. Let v(y) be the first derivative of d(y). Let v(z) = 0. Calculate z.
1, 4
Determine v, given that 0 + 34/3*v - 5*v**2 - 1/3*v**3 = 0.
-17, 0, 2
Let l(y) be the first derivative of 90 + 62/45*y**3 + 91/15*y**2 - 4/5*y. Factor l(j).
2*(j + 3)*(31*j - 2)/15
Find u, given that -64 - 2*u**4 - 14*u**3 - 328*u - 114*u**2 - 14*u**3 + 176*u = 0.
-8, -4, -1
Suppose i + 0*w = -3*w - 10, -2*i = 4*w + 12. Suppose 9*o - 25 = 4*o. Determine f so that -27*f**3 - 15*f**4 - 6*f + 8*f**i + 2*f**o - 29*f**2 - 5*f**5 = 0.
-2, -1, 0
Let n be (3 - (-44)/(-12))*-3. Factor 935*c**3 + 485331 + 58590*c**n + 5*c**4 + 505600 + 1249300*c + 200709.
5*(c + 1)*(c + 62)**3
Let p = 15724 - 15724. Let i(y) be the first derivative of -2/27*y**3 + 1/9*y**2 + p*y - 30. Find f, given that i(f) = 0.
0, 1
Let p(r) = r**2 + 12*r - 2. Let z be p(-11). Let y be z*((-7)/14)/((-1)/(-2)). What is a in -18*a + 0*a**2 - 2 - a**2 + y*a - 4 = 0?
-3, -2
Let p(f) be the third derivative of f**5/60 - 7*f**4/24 + f**3 - 35*f**2. Let g(c) = -c**2 + 6*c - 5. Let x(w) = 4*g(w) + 6*p(w). What is r in x(r) = 0?
1, 8
Let -1/2*a**2 - 481/2*a - 240 = 0. Calculate a.
-480, -1
Let w = -599 + 601. Find f, given that 7*f - 7 + f - 2*f**2 + w*f - 1 = 0.
1, 4
Factor 35/6*f**3 + 91/3*f**2 + 0 + 1/6*f**4 + 116/3*f.
f*(f + 2)*(f + 4)*(f + 29)/6
Let a(l) = l**3 - 7*l**2 + 10*l + 37. Let f be a(10). Let p be f/(-76) + (3 - -3). Find s, given that 1/4*s**2 + p - 1/2*s = 0.
1
Suppose -3*b = -3*k - 0*k - 27, 3*b = -2*k + 12. Suppose -b*c + 51 + 3 = 0. Factor -5*p**3 - 3*p**3 - 4*p**3 + 9*p**3 - 6*p + c*p**2.
-3*p*(p - 2)*(p - 1)
Let z(s) be the second derivative of -s**4/84 + 4*s**3/21 - 6*s**2/7 + 65*s - 2. Factor z(u).
-(u - 6)*(u - 2)/7
Suppose 0 = d + 2, -26*d + 31*d = q + 1420. Let v = 1433 + q. What is t in 0 + 3/5*t**v + 0*t + 2/5*t**2 - 1/5*t**5 + 0*t**4 = 0?
-1, 0, 2
Suppose 0 = 12*q - 3*q - 180. Let f be (-23)/(-3) - (5 - q)/(-3). Find l, given that f*l + 2 + 2/3*l**2 = 0.
-3, -1
Let c(i) be the first derivative of -i**6/6 + 3*i**5 + 17*i**4/4 - 5*i**3 - 8*i**2 + 1071. Factor c(u).
-u*(u - 16)*(u - 1)*(u + 1)**2
Let w(u) = u + 11. Let s be w(-8). Let j be (-6)/(-4)*10/s. Find t such that 11*t**2 + 2 + 3*t - 5*t**2 - j*t**2 = 0.
-2, -1
Let u(d) = -119*d**2 + 3474*d + 335257. Let c(l) = -74*l**2 + 2316*l + 223504. Let o(x) = 8*c(x) - 5*u(x). Determine t so that o(t) = 0.
-193
Let s(c) be the second derivative of c**4/72 - 13*c**3/36 + 2*c + 66. Factor s(v).
v*(v - 13)/6
Let l be 4 + 4/((-20)/(-5)). Let n(b) = b**3 - 3*b**2 - 11*b + 8. Let d be n(l). Find t such that t**3 - 32*t + 48*t - 5*t**d = 0.
-2, 0, 2
Let t(b) be the first derivative of b**7/525 - b**6/75 + b**5/75 + b**4/15 - b**3/5 - 67*b**2 + 133. Let f(p) be the second derivative of t(p). Factor f(s).
2*(s - 3)*(s - 1)**2*(s + 1)/5
Let m(j) = -11 - 1 - 10*j - 30. Let q be m(-15). Factor q*p**3 + 5*p**2 - 7*p + 2 - 1 + 2 - 109*p**3.
-(p - 3)*(p - 1)**2
What is i in -124*i**3 + 14*i**4 + 4893*i - 6050 + 5*i**4 + 12*i**4 - 163*i + 1468*i**2 + 2*i**5 - 57*i**4 = 0?
-5, 1, 11
Let m(f) = -10*f + 348. Let k be m(35). Let v be (-3)/k*(192/40)/6. Determine c so that v*c**4 + 0 + 54/5*c**2 - 24/5*c - 36/5*c**3 = 0.
0, 1, 4
Let l(y) = 27*y**2 - 359*y - 831. Let p(f) = 24*f**2 - 360*f - 820. Let w(h) = 4*l(h) - 5*p(h). Factor w(v).
-4*(v + 2)*(3*v - 97)
Let m be -9*66/9*(-10)/(-68). Let q = 1825/153 + m. What is g in q*g + 2/3 + 2/3*g**2 = 0?
-3, -1/3
Find k, given that 52*k**2 + 13221*k**4 - 36 + 36 - 56*k + 60*k**3 - 13273*k**4 - 4*k**5 = 0.
-14, -1, 0, 1
Let k(d) be the second derivative of -d**4/6 - 442*d**3/3 - 48841*d**2 + 648*d. Factor k(i).
-2*(i + 221)**2
Suppose 2*v - 91 = -8*a - 7, 5*a - 5*v - 15 = 0. Factor 7/2*i**2 + 0 + a*i.
i*(7*i + 18)/2
Factor -6*x + 52/3 - 4/3*x**2.
-2*(x - 2)*(2*x + 13)/3
Let v(q) be the first derivative of q**5/150 - 83*q**4/30 + 6889*q**3/15 - q**2/2 - 31*q + 206. Let i(a) be the second derivative of v(a). Factor i(b).
2*(b - 83)**2/5
Let n(s) be the first derivative of 1/25*s**5 - 71 - 1/15*s**3 + 0*s**2 + 0*s + 0*s**4. Solve n(u) = 0 for u.
-1, 0, 1
Let i(r) = -r**3 - 24*r**2 + 3. Let c be i(-24). Factor 40*y**3 + y**c - 75*y**2 + 70 - 6*y**3 + 5*y**4 + 30*y**3 - 65*y.
5*(y - 1)**2*(y + 1)*(y + 14)
Suppose 10800*l**2 + 1414*l**4 - 360*l**3 - 725*l**4 - 686*l**4 = 0. What is l?
0, 60
Suppose -234*z + 220*z + 128 + 68 = 0. Let n(x) be the first derivative of 0*x + 3/5*x**5 + 0*x**2 - 4*x**3 - z + 0*x**4. Factor n(g).
3*g**2*(g - 2)*(g + 2)
Let y(n) be the third derivative of n**5/60 + 517*n**4/24 + 86*n**3 - 8238*n**2. Solve y(j) = 0.
-516, -1
Let r(t) be the second derivative of -t**5/150 + t**4/60 + 101*t**2 - 99*t. Let c(q) be the first derivative of r(q)