r) be the third derivative of -r**6/30 + 221*r**5/15 + 445*r**4/6 + 446*r**3/3 + r**2 - 45*r. Suppose s(w) = 0. What is w?
-1, 223
Let -343759232/9 + 2662/9*h**3 - 134552/3*h**2 + 6800992/3*h = 0. What is h?
556/11
Let m(d) = -d**2 - 18*d + 46. Let r be m(-20). Factor -68*w**2 - 60*w + w**3 + 33*w**2 - r*w**3.
-5*w*(w + 3)*(w + 4)
Let d(c) = -c**3 + 151*c**2 - 202*c - 462. Let h(a) = -34*a**2 + 50*a + 116. Let t(q) = -4*d(q) - 18*h(q). Factor t(k).
4*(k - 5)*(k + 3)*(k + 4)
Let o(b) = 17*b**4 - 213*b**3 + 1742*b**2 + 9657*b + 10580. Let t(p) = 4*p**4 - p**3 - p**2 - p. Let z(j) = -o(j) + 3*t(j). Solve z(h) = 0 for h.
-2, 23
Suppose -5*a + 0*a = 25, -a + 11 = -t. Let s = t + 18. Factor -2*g**5 + 30 - 2*g**5 + 8*g**s + 8*g**3 - 34 - 4*g - 4*g**4.
-4*(g - 1)**2*(g + 1)**3
Let h(s) be the first derivative of 4*s**2 + 2/5*s**5 - 165 - 2/3*s**3 - 2*s**4 + 0*s. What is o in h(o) = 0?
-1, 0, 1, 4
Let f(b) = -b**3 - 103*b**2 + 546*b - 682. Let k(o) = 52*o**2 - 272*o + 340. Let n(m) = 2*f(m) + 5*k(m). Factor n(x).
-2*(x - 21)*(x - 4)*(x - 2)
Let j(u) be the third derivative of u**5/180 + 5*u**4/36 - 11*u**3/18 - 61*u**2 - 7. Let j(z) = 0. Calculate z.
-11, 1
Let h be ((-4)/(-11))/((-304)/(-1672)) - 2/1. Suppose -4/9*o**3 + 0*o + 2/9*o**2 - 2/3*o**4 + h = 0. Calculate o.
-1, 0, 1/3
Determine f, given that -1141 - 848*f - 559 - 706*f + 314*f + 63*f**3 - 68*f**3 - 205*f**2 = 0.
-34, -5, -2
What is g in 3483*g**3 - 49*g - 3479*g**3 - 12*g**2 - 149*g + 14*g - 288 = 0?
-4, -2, 9
Let c(v) be the second derivative of v**5/20 + 3*v**4/2 + 10*v**3 - 100*v**2 - 313*v. Factor c(p).
(p - 2)*(p + 10)**2
Let c(z) = -74*z**3 - 142*z**2 - 981*z + 1122. Let w(r) = 51*r**3 + 143*r**2 + 979*r - 1123. Let a(j) = -2*c(j) - 3*w(j). Let a(o) = 0. What is o?
-15, 1
Let m(x) be the first derivative of 0*x - 1/5*x**3 + 14 + 1/10*x**2 - 1/5*x**4. What is s in m(s) = 0?
-1, 0, 1/4
Let m(z) be the second derivative of z**4/6 - 112*z**3 + 28224*z**2 - 180*z + 2. Let m(s) = 0. What is s?
168
Let o(t) = 2*t - 16. Let a be o(9). Suppose 4*x - 3*p = -0*p + 8, x - 2 = a*p. Determine l so that 2*l**2 + 4*l**3 + 6*l**2 + 899 + 20*l + 8*l**x - 891 = 0.
-2, -1
Suppose 0 = -21*k - 0. Factor -20 - 5*i**3 - 82*i**2 + 162*i**2 - 75*i**2 + 20*i + k*i**3.
-5*(i - 2)*(i - 1)*(i + 2)
Suppose -y + 2*a = 37, -y - 72 = y - 3*a. Let t = y + 42. Factor -t*g**3 - 5*g**2 - g + 20*g**2 - 3 - 2*g.
-3*(g - 1)**2*(3*g + 1)
Suppose 48 = 6*f - 42. Suppose -4*a + j + f = -88, -2*a + j = -53. Factor 189*l - 151*l**2 - 54*l - a - 2*l**4 + 45*l**3 - 2*l**4.
-(l - 5)**2*(l - 1)*(4*l - 1)
Let y(q) be the third derivative of 163*q**2 + 0 - 1/42*q**7 + 19/12*q**5 - 3/4*q**6 + 0*q**3 + 0*q**4 + 0*q. Find t, given that y(t) = 0.
-19, 0, 1
Let b(y) = 11*y - 254. Let u be b(25). Let r be (35 - 34)*12/u. Factor -r - 34/7*l**3 - 6*l**2 - 22/7*l - 10/7*l**4.
-2*(l + 1)**3*(5*l + 2)/7
Let t(v) be the third derivative of -8*v**7/525 + 7*v**6/30 - 92*v**5/75 + 91*v**4/30 - 4*v**3 - v**2 + 123. Solve t(m) = 0 for m.
3/4, 1, 2, 5
Let a(y) be the first derivative of y**5/10 + 15*y**4/8 + 71*y**3/6 + 129*y**2/4 + 36*y + 186. Factor a(l).
(l + 1)*(l + 3)**2*(l + 8)/2
Let z = -1552 - -1557. Let k(n) be the second derivative of -n**4 - 3/20*n**z + 0*n**2 - 14*n + 0 + 0*n**3. Factor k(u).
-3*u**2*(u + 4)
Let l(x) be the first derivative of x**5/210 + 16*x**4/21 + 1024*x**3/21 + 21*x**2 + 57. Let k(r) be the second derivative of l(r). Factor k(p).
2*(p + 32)**2/7
Let l(g) be the second derivative of g**5/12 + 190*g**4/9 + 15170*g**3/9 + 54760*g**2/3 - 6096*g. Factor l(d).
5*(d + 4)*(d + 74)**2/3
Let m(f) be the third derivative of -2/525*f**7 - 11/30*f**4 + 0*f + 50*f**2 + 11/150*f**6 + 4/3*f**3 - 3/25*f**5 + 0. Let m(n) = 0. What is n?
-1, 1, 10
Let b(d) = -5494*d + 406561. Let a be b(74). Let w be 16/(-10) - (-2)/1. Solve -9/5*s**3 + 7/5*s**4 - 1/5*s - w*s**a + s**2 + 0 = 0.
0, 1/2, 1
Factor 592 + 2/3*g**3 + 3554/3*g + 1780/3*g**2.
2*(g + 1)**2*(g + 888)/3
Let 3131 + 1172*v**3 - 155*v**2 - 1221*v**2 - 8699 - 1176*v**3 + 5552*v = 0. What is v?
-348, 2
Let p(c) be the second derivative of -1/18*c**3 - 5/3*c**2 + 44*c + 5/18*c**4 + 0 + 1/60*c**5. Factor p(f).
(f - 1)*(f + 1)*(f + 10)/3
What is q in -390/11 + 424/11*q - 30/11*q**2 - 4/11*q**3 = 0?
-15, 1, 13/2
Let y(d) be the first derivative of d**3/24 - 9*d**2/8 + 17*d/8 + 956. Factor y(x).
(x - 17)*(x - 1)/8
Let r(x) be the third derivative of x**7/70 + 29*x**6/4 - 293*x**5/20 - 291*x**4/4 + 1630*x**2. What is c in r(c) = 0?
-291, -1, 0, 2
Let m(o) be the second derivative of 5*o**4/24 - 1135*o**3/12 - 1725*o**2/2 + 522*o. Suppose m(v) = 0. What is v?
-3, 230
Let m(i) = -20*i + 41. Let a be m(0). Determine f, given that 14*f**3 + 6*f + 0*f**5 + 15*f**4 + 0*f - a*f**3 - 15*f**2 + 21*f**5 = 0.
-1, 0, 2/7, 1
Let m be (276/8)/(3/4). Let z be 4 + m/(-12) + 46/12. Factor -4 - 8*k**3 + 7 - 7 + z*k**4 + 0 + 8*k.
4*(k - 1)**3*(k + 1)
Let t(b) = 11*b**2 - 185*b + 149. Let z be t(16). Let -4*l**4 - 4*l**3 - 4/3*l**2 - 4/3*l**z + 0 + 0*l = 0. What is l?
-1, 0
Let n be (30/4 + -8)/(2/(-12)). Factor 6*z**3 + 3*z**2 - 15*z**2 - 24 + 6*z**n - 8*z**4 - 44*z + 12*z**4.
4*(z - 2)*(z + 1)**2*(z + 3)
Let d be (-1 - (-56)/12)/(55 + (-67 - -23)). Let 2*u + d*u**4 + 8/3*u**2 - 2*u**3 - 3 = 0. Calculate u.
-1, 1, 3
Let v(c) be the second derivative of -c**7/42 + 2*c**6/5 + 7*c**5/4 - 17*c**4/2 + 28*c**3/3 - 8*c - 344. Solve v(w) = 0.
-4, 0, 1, 14
Let m be (21 - 6201/273) + (1 - 43/(-21)). Factor -j**2 + 1/3*j**3 - m*j + 0.
j*(j - 4)*(j + 1)/3
Let x(n) be the first derivative of 199*n**4 + 528*n**3 - 8*n**2 - 1597. Suppose x(y) = 0. What is y?
-2, 0, 2/199
Let t(g) be the third derivative of g**7/3780 - 17*g**6/1620 - 4*g**5/27 - 7*g**4/9 + 8*g**3/3 - g**2. Let d(k) be the first derivative of t(k). Factor d(x).
2*(x - 21)*(x + 2)**2/9
Let u(l) be the third derivative of 11/6*l**4 + 0*l + 1/15*l**5 - 35*l**2 + 0 + 0*l**3. Find i such that u(i) = 0.
-11, 0
Let y(d) be the third derivative of d**7/70 - 5*d**6/8 - 127*d**5/20 + 325*d**4/8 - 87*d**3 + 4*d**2 - 34*d - 1. Factor y(z).
3*(z - 29)*(z - 1)**2*(z + 6)
Let w(s) be the third derivative of -s**5/90 + 118*s**4/3 - 55696*s**3 + 286*s**2. Find j such that w(j) = 0.
708
Suppose 33248*j - 5*h + 105 = 33253*j, 0 = -2*j + h - 12. Solve 2/19*m**2 + 32/19*m + 40/19 - 2/19*m**j = 0.
-2, 5
Factor -11*c**3 - 5*c**4 - 1 + 1 + 945*c**2 - 9*c**3 - 960*c**2.
-5*c**2*(c + 1)*(c + 3)
Let l(a) be the second derivative of -37*a**5/120 + 29*a**4/8 - 32*a**3/3 + 5*a**2/3 + 6*a - 248. Find s such that l(s) = 0.
2/37, 2, 5
Let v(a) be the third derivative of -1/60*a**6 + 0*a + 0 + 1/4*a**4 + 54*a**2 + 0*a**5 + 2/3*a**3. Factor v(g).
-2*(g - 2)*(g + 1)**2
Let r(d) be the first derivative of -1/60*d**6 - 1/6*d**4 - 19/2*d**2 - 17 + 0*d + 0*d**3 - 1/10*d**5. Let m(i) be the second derivative of r(i). Factor m(j).
-2*j*(j + 1)*(j + 2)
Let q(v) be the second derivative of 1/3*v**4 + 106*v - 20*v**2 + 2*v**3 + 0. Factor q(l).
4*(l - 2)*(l + 5)
Let n be (-3 - -15) + -10 + (-11)/((-88)/(-14)). Factor -n*t**3 + 5/4*t + t**2 + 0.
-t*(t - 5)*(t + 1)/4
Let z(i) be the third derivative of -2*i + 6*i**2 + i**3 + 0 - 1/120*i**5 - 11/48*i**4. Find m, given that z(m) = 0.
-12, 1
Determine j, given that -2601/7*j - 3/7*j**3 + 153/7*j**2 + 14739/7 = 0.
17
Let f be (-10)/9 + 738/324 + 60/72. Factor 60/7*t**f + 144/7*t + 4/7*t**3 + 0.
4*t*(t + 3)*(t + 12)/7
Let d = -5672 - -5676. Let b(h) be the third derivative of -1/120*h**6 + 0*h + 0 - 1/60*h**5 + 5*h**2 + 1/24*h**d + 1/6*h**3. Factor b(c).
-(c - 1)*(c + 1)**2
Suppose 0*n - 10 = -9*n + 44. Let r(q) be the third derivative of 0*q**3 - 1/12*q**4 + 0*q + 18*q**2 + 0 - 1/12*q**n - 3/20*q**5. Factor r(p).
-p*(2*p + 1)*(5*p + 2)
Let d(h) be the first derivative of 82 - 1/10*h**6 + 3/20*h**4 + 0*h + 0*h**2 - 2/5*h**3 + 6/25*h**5. Find x such that d(x) = 0.
-1, 0, 1, 2
Let n be 58 + -47 + 1 + -4. Suppose -s - 4*s - 16 = 4*d, 2*s = -2*d - n. Let -1/4*l**5 - 9/4*l**3 - 5/4*l**4 + s - 7/4*l**2 - 1/2*l = 0. What is l?
-2, -1, 0
Let x(c) be the second derivative of c**3/6 - 17*c. Let s be x(3). Determine r, given that 2*r**s + 0*r**3 - 4 + 7 + 1 - 6*r = 0.
-2, 1
Factor -7/4 - 1/8*a + 1/8*a**3 + 7/4*a**2.
(a - 1)*(a + 1)*(a + 14)/8
Let d be 58/551 - -3*(-62)/(-