 - 14*g**2 - 2*g + 31. Let b be y(14). Let c(s) = 22*s - 63. Let a be c(b). What is o in 0*o**2 + 0 + 0*o + o**4 + 1/3*o**5 + 2/3*o**a = 0?
-2, -1, 0
Let l(i) be the second derivative of i**6/30 - i**5/32 - 25*i**4/48 + 5*i**3/48 + 21*i**2/8 + 10477*i. Solve l(o) = 0 for o.
-2, -1, 1, 21/8
Let d = 261 + -114. Factor -2*l**2 + 8 + 289*l - d*l + 2*l**3 - 150*l.
2*(l - 2)*(l - 1)*(l + 2)
Let h(w) be the first derivative of w**3/7 + 3879*w**2/7 + 5015547*w/7 + 4320. Let h(b) = 0. What is b?
-1293
Determine f, given that 138*f + 0 + 1/2*f**2 = 0.
-276, 0
Let y be 14*(7 - (-33)/(-6)). Factor y + 11*t**3 - 60*t**2 + 2*t**3 - 271 - 8*t**3 + 225*t.
5*(t - 5)**2*(t - 2)
Let n(f) be the third derivative of f**8/784 - 36*f**7/245 - 45*f**6/56 - f**2 - 7*f + 90. Find b, given that n(b) = 0.
-3, 0, 75
Suppose -100 = -6*w + 788. Let i be 11/(-9) + 1 + w/18. Factor 480*f - 496*f + i + 11*f**2 - f**2 - 2*f**3.
-2*(f - 2)**2*(f - 1)
Suppose -5*t + 27 = -8. Let w = t - 5. Determine i so that -5*i**2 - w*i - i**2 - 716 + 716 = 0.
-1/3, 0
Let c(h) be the third derivative of -h**7/1785 - 11*h**6/102 - 1259*h**5/170 - 10340*h**4/51 - 141376*h**3/51 - 77*h**2. Suppose c(u) = 0. What is u?
-47, -8
Let i be (-618)/(-135) + ((-160)/10 - -11). Let h = 329/180 - i. Determine a, given that 3/4*a**3 - 9/4*a**2 - 3/2*a + 3/4*a**5 + 0 + h*a**4 = 0.
-2, -1, 0, 1
Let y(g) be the first derivative of -3*g**4/16 + 24*g**3 + 297*g**2/2 + 300*g + 815. Factor y(t).
-3*(t - 100)*(t + 2)**2/4
Let t(n) be the first derivative of -n**6/720 + n**5/120 + 15*n**2 - 28. Let u(c) be the second derivative of t(c). Determine a so that u(a) = 0.
0, 3
Factor 67 + 50*j**3 + 78 - 216 - 14*j**4 + 71 + 24*j**2.
-2*j**2*(j - 4)*(7*j + 3)
Let q = -3233/2 + 1619. Suppose -3*x = -2*d - 2, -6 = -5*x - 2*d + 24. Find h, given that q*h**3 - 5/4*h + 5/4*h**x - 5/2*h**2 + 5/4 - 5/4*h**5 = 0.
-1, 1
Solve 101*h - 21232*h**3 + 21368*h**3 - 40*h**4 + 3*h**5 + 0*h**5 - 18 - 182*h**2 = 0 for h.
1/3, 1, 2, 9
Suppose 0 = 2*t - 90 + 50. Let 48*w**3 + 16*w**4 - 77*w + 33*w - 4*w**5 + t*w**2 - 24 - 12*w**2 = 0. What is w?
-1, 1, 6
Let c = 68 - 46. Let t be (24/(-14))/(c - 24). Solve -t*o**4 - 2/7 - 4/7*o + 8/7*o**2 + 4/7*o**3 = 0 for o.
-1, -1/3, 1
Let 8/3*w**3 - 2*w - 35/6*w**4 - 9/2 - 2/3*w**5 + 31/3*w**2 = 0. What is w?
-9, -1, -3/4, 1
Suppose 12*n**5 + 131*n**3 - 68*n**4 + 14*n - 80 + 180*n**2 - 61*n**3 - 66*n**3 + 2*n = 0. What is n?
-1, 2/3, 2, 5
Let n = -1572 - -1577. Let u(w) be the third derivative of -1/120*w**6 + 0 + 0*w + 4/15*w**3 - 3/50*w**n - 5*w**2 - 1/10*w**4. Factor u(a).
-(a + 2)**2*(5*a - 2)/5
Let j be 1665/20 - (-4)/(-16). Suppose 3*d + 2 - j = 0. Determine a so that -d - 27 + 17*a**2 + 14 - 7*a**2 + 20*a - 5*a**3 = 0.
-2, 2
Let w(a) be the third derivative of -a**6/210 + 8*a**5/105 + 30*a**4/7 - 9730*a**2. Solve w(c) = 0.
-10, 0, 18
Let q(l) be the second derivative of 0*l**2 - 1/48*l**4 - 11/4*l**3 - 85*l + 0. Solve q(h) = 0.
-66, 0
Let l(i) = 394*i - 1576. Let j be l(4). Let x(q) be the third derivative of 7/12*q**4 - 49/6*q**3 - 1/60*q**5 + 0 + j*q - 14*q**2. Factor x(o).
-(o - 7)**2
Suppose 333*k + 155 = 1487. Factor 4/3*m**3 - 16/3*m - 2*m**2 - 8/3 + 2/3*m**k.
2*(m - 2)*(m + 1)**2*(m + 2)/3
Let w(y) be the second derivative of -y**4/3 - 32*y**3/3 - 30*y**2 + y - 41. Factor w(k).
-4*(k + 1)*(k + 15)
Let t(p) be the third derivative of -28*p + 0 + 2/27*p**3 + p**2 - 1/108*p**4 - 1/270*p**5. Factor t(x).
-2*(x - 1)*(x + 2)/9
Suppose -7/3*o - 3*o**2 + 10/3 - 1/3*o**4 + 7/3*o**3 = 0. Calculate o.
-1, 1, 2, 5
Let l(f) = -238*f**2 + 27*f - 24. Let c(n) = 190*n**2 - 26*n + 24. Let s(y) = -5*c(y) - 4*l(y). Factor s(h).
2*(h - 1)*(h + 12)
Let v = -32647 - -7835291/240. Let b(m) be the third derivative of -m**4 + 24*m**2 + 0 - 3/2*m**3 + 121/480*m**6 + 0*m + v*m**5. Factor b(s).
(s - 1)*(11*s + 6)**2/4
Let r be (-192)/10 + 12/(-15). Let j = r + 28. Factor -11*h**4 - 32 + 9*h**4 + 8*h**2 + j*h**2.
-2*(h - 2)**2*(h + 2)**2
Let m(s) be the third derivative of 11*s**2 + 5/6*s**3 + 0 - 1/6*s**4 + 0*s + 1/6*s**5 - 5/72*s**6. Let c(d) be the first derivative of m(d). Factor c(q).
-(5*q - 2)**2
Let q(k) be the third derivative of 94*k**2 - 1/210*k**6 + 19/168*k**4 + 0 + 0*k - 11/420*k**5 - 2/21*k**3. Factor q(p).
-(p - 1)*(p + 4)*(4*p - 1)/7
Suppose 103*q - 1849 + 194 = -207 - 212. Let q*r + 2/3*r**2 + 34/3 = 0. What is r?
-17, -1
Let g(t) = -9*t**2 - 233*t - 472. Let i(p) = -110*p**2 - 2790*p - 5665. Let n(q) = 25*g(q) - 2*i(q). Factor n(l).
-5*(l + 2)*(l + 47)
What is z in -48 + 5*z**3 - 28 - 7 - 37 + 65*z + 50*z**2 = 0?
-8, -3, 1
Suppose 45*c - 2 - 448 = 0. Let o(j) be the first derivative of 0*j - 20/3*j**3 + 1 - c*j**2 + 15/4*j**4 + 4*j**5 + 5/6*j**6. Factor o(s).
5*s*(s - 1)*(s + 1)*(s + 2)**2
Let p(k) be the first derivative of -2*k**6/3 + 19*k**5/5 + 13*k**4/4 - 94*k**3/3 - 12*k**2 - 303. What is r in p(r) = 0?
-2, -1/4, 0, 3, 4
Let x = -6 - -11. Let m(f) = -f**2 + 2*f + 8. Let l be 7/(105/20) - (-232)/6. Let v(n) = -1. Let j(b) = l*v(b) + x*m(b). Factor j(r).
-5*r*(r - 2)
Let s(c) = -c**3 + 2*c. Let v be (-3)/(-1*9*3/9). Let m(l) = 9*l**3 + 25*l**2 + 32*l + 20. Let w(n) = v*m(n) + 4*s(n). What is h in w(h) = 0?
-2, -1
Let t(i) = 3*i**2 + 1270*i - 78121. Let h(m) = -8*m**2 - 2545*m + 156241. Let n(a) = 4*h(a) + 9*t(a). Suppose n(o) = 0. What is o?
125
Let n(j) be the first derivative of -j**5/15 - 11*j**4/12 - 34*j**3/9 - 4*j**2 + 457. Let n(x) = 0. Calculate x.
-6, -4, -1, 0
Let i = 56 + 444. Factor -i*j**5 + 19*j - 8*j - 350*j**4 + 4*j + 88*j**2 + j + 60*j**3.
-2*j*(2*j - 1)*(5*j + 2)**3
Let z(i) be the second derivative of 5*i**4/12 - 715*i**3/6 - 1095*i**2 + 1180*i. Let z(x) = 0. What is x?
-3, 146
Let r be 14889/441 - (-4)/6. Let t = -34 + r. Factor -3/7*f**3 + t*f**4 + 3/7*f + 0 - 3/7*f**2.
3*f*(f - 1)**2*(f + 1)/7
Let s be (-4 - 0) + 35/70*14. Find o, given that 17/2*o**s - 4*o - 3/2*o**4 - 9*o**2 + 0 = 0.
-1/3, 0, 2, 4
Let v(u) = -2*u**2 - 2*u + 2. Let y be v(0). Let 5*g**y + 3*g + 0 + g - 16 - g**3 - g**2 = 0. What is g?
-2, 2, 4
Let n = 24 + -22. Let 497 - 499 + 4*a**2 - 2*a**n = 0. What is a?
-1, 1
Find y, given that -6967*y + 261*y**2 + 6958*y + 111*y**2 = 0.
0, 3/124
Let q(f) be the third derivative of f**5/15 - 115*f**4/6 + 76*f**3 - 6306*f**2. Factor q(c).
4*(c - 114)*(c - 1)
Let m be (-10)/(-4) - (-6)/(-32)*(-1240)/465. What is y in -234/7*y**2 - 348/7*y + 27/7*y**m - 120/7 = 0?
-2/3, 10
Let d be (-63)/(-12) - -6 - (-5 + 10 + 5). Solve -65/4*q - 35/4*q**3 + 75/4*q**2 + d*q**4 + 5 = 0.
1, 4
Let v(o) be the first derivative of 5*o**3/3 + 16085*o**2 + 51745445*o + 1353. Factor v(g).
5*(g + 3217)**2
Let w(q) be the first derivative of -q**3/9 + 35*q**2/2 + 106*q/3 + 986. Solve w(y) = 0.
-1, 106
Let v be 5*-2*2*3/(-12). What is z in 72*z**v - 35*z**5 + 15*z**4 - 40*z**5 - 15*z**3 + 3*z**4 = 0?
0, 1, 5
Let v(d) be the third derivative of d**8/168 + 2*d**7/105 - 11*d**6/60 - 4*d**5/15 + 5*d**4/3 + 16*d**3/3 - 8*d**2 - 79. Suppose v(p) = 0. What is p?
-4, -1, 2
Let k = 30 + -27. What is c in -22*c**3 - 64 - c**5 + 7*c**5 - 5*c**5 + 16*c + 14*c**k + 32*c**2 - 4*c**4 = 0?
-2, 2, 4
Let s(d) = -2*d**3 - 68*d**2 - 53*d + 129. Let a(l) = -3*l**3 - 137*l**2 - 107*l + 261. Let c(k) = 3*a(k) - 7*s(k). Factor c(o).
5*(o - 1)*(o + 2)*(o + 12)
Let h(i) be the first derivative of -i**6/6 - 4*i**5/5 + i**4 + 16*i**3/3 + 1636. Factor h(s).
-s**2*(s - 2)*(s + 2)*(s + 4)
Let c(b) = -11*b**4 + 17*b**3 + 39*b**2 - 121*b + 76. Let u(z) = 9*z**4 - 18*z**3 - 39*z**2 + 123*z - 75. Let g(r) = 3*c(r) + 4*u(r). Solve g(n) = 0.
-3, 1, 8
Find y such that 62388/13*y**2 - 14/13*y**3 - 5347200*y + 19855936/13 = 0.
2/7, 2228
Let w(l) be the third derivative of -l**7/210 + 17*l**6/120 - 11*l**5/12 + 13*l**4/8 - l**2 - 1125. Suppose w(j) = 0. What is j?
0, 1, 3, 13
Let q be (-238328)/(-3)*(6864/320)/143. Factor 186/5*s**2 + 2/5*s**3 + q + 5766/5*s.
2*(s + 31)**3/5
Let x(t) = 76*t**2 - 312*t + 1720. Let r(w) = -48*w**2 + 208*w - 1147. Let p(z) = 8*r(z) + 5*x(z). Determine f, given that p(f) = 0.
8, 18
Suppose -4*q - 185 = -7*q + d, -5*q + d = -305. Let p = q + -58. Determine m so that -8*m - 44 - 10*m + 8*m**2 + 58*m - 4*m**p = 0.
-11, 1
Find k such that -345/2 - 339/4*k - 3/4*k**3 + 87*k**2 = 0.
-1, 2, 115
Let w(d) be the th