2)
Suppose -15 - 138 = -17*w. Let g be 27/(-11) - 3/w*-9. Suppose 4/11 + 6/11*v - 2/11*v**2 - g*v**3 - 2/11*v**4 = 0. What is v?
-2, -1, 1
Let a(o) = 2*o - 4. Let c be a(3). Find n, given that 13*n**c - 49*n**2 - 14*n - 2*n**5 + 10*n**3 + 6*n**3 + 24*n**2 + 12 = 0.
-3, -1, 1, 2
Suppose 844932*w = 844993*w - 122. Factor -16/11*n**w - 38/11*n - 20/11 + 2/11*n**3.
2*(n - 10)*(n + 1)**2/11
Let c(h) = 64*h**4 + h**3 + h**2 - h - 2. Let o(i) = -127*i**4 + 54*i**3 + 978*i**2 + 5490*i + 4. Let a(b) = -6*c(b) - 3*o(b). Factor a(m).
-3*m*(m + 14)**2*(m + 28)
Let u(i) = -i**3 - 27*i**2 + 52*i - 152. Let p be u(-29). Let j(v) be the first derivative of -1/3*v**2 + p - 1/9*v**3 + 0*v. Find m such that j(m) = 0.
-2, 0
Let h(o) be the first derivative of -o**7/350 - 3*o**6/40 - 27*o**5/100 - 13*o**4/40 - 27*o**2 + 75. Let z(p) be the second derivative of h(p). Factor z(y).
-3*y*(y + 1)**2*(y + 13)/5
Let n = 103 + -93. Let m be 235/25 + -9 - (-46)/n. Solve 2/7*h**2 + 38/7*h**4 - 30/7*h**3 + 4/7*h - 2*h**m + 0 = 0.
-2/7, 0, 1
Suppose 22*b - 100 - 40 = -13 + 27. Factor 13/2*w + b + 3/2*w**2.
(w + 2)*(3*w + 7)/2
Let p(h) be the second derivative of 0 + 7/2*h**3 - 1/16*h**4 - 147/2*h**2 - 108*h. What is x in p(x) = 0?
14
Factor 176 - 2/3*f**2 + 76/3*f.
-2*(f - 44)*(f + 6)/3
Let a(h) = 2*h - 18. Let z be a(9). Solve -14*i**2 + z*i + 12*i + 16*i**2 + 16 = 0.
-4, -2
Let g be 38*5/10 - -3. Suppose 6*z + g - 40 = 0. Determine y, given that 75*y**2 - 148*y**2 - z + 74*y**2 + 7 + 4*y = 0.
-2
Let m(y) = y**3 - 6*y**2 - 14*y + 4. Let f be m(-3). Let h(z) = z**2 + 39*z + 144. Let t be h(f). Factor -1/3*i**5 + 0 + 0*i + 5/3*i**t + i**2 - 7/3*i**3.
-i**2*(i - 3)*(i - 1)**2/3
Let t(m) be the third derivative of m**7/1260 - 203*m**6/720 + 1541*m**5/40 - 327697*m**4/144 + 300763*m**3/18 - 50*m**2 - 21*m - 1. Solve t(i) = 0.
2, 67
Let q be -3 - 10 - (-7665)/588. Let p(y) be the second derivative of 9*y - 4/7*y**3 + 3/2*y**2 + q*y**4 + 0. Factor p(w).
3*(w - 7)*(w - 1)/7
Let s = 919 + -923. Let h be ((-2)/s)/(693/8946) + -5. Factor 0 + 4/11*r + 2/11*r**2 + 10/11*r**4 - h*r**3.
2*r*(r - 1)**2*(5*r + 2)/11
Let g be -16 + (-2827)/(-2288)*13. Let a(k) be the first derivative of -1/2*k**3 - 3/2*k + g*k**4 + 11/8*k**2 - 39. Suppose a(u) = 0. Calculate u.
1, 2, 3
Let g(w) be the third derivative of w**6/200 - 91*w**5/20 - 913*w**4/40 - 457*w**3/10 + 21*w**2 - 4*w - 17. Find j such that g(j) = 0.
-1, 457
Let k = -134600 - -134602. Let -244/9*b**k + 284/9*b + 16/9*b**3 - 56/9 = 0. What is b?
1/4, 1, 14
Let b = 4/1339 + 1259/26780. Let w(k) be the first derivative of 0*k - 24 - 1/25*k**5 + 0*k**2 + b*k**4 + 0*k**3. Factor w(t).
-t**3*(t - 1)/5
Let a(b) be the first derivative of b**6/6 + 4*b**5/5 - 3*b**4/2 - 12*b**3 - 27*b**2/2 - 67. Factor a(r).
r*(r - 3)*(r + 1)*(r + 3)**2
Let y(k) be the first derivative of -k**3 + 37 + 15/2*k**2 + 42*k. What is c in y(c) = 0?
-2, 7
Let i be 4/((-40)/15)*-2. Let z(g) = g**2 + 8*g + 1. Let t(k) = -2*k**2 - 14*k - 2. Let h(d) = i*t(d) + 5*z(d). Factor h(s).
-(s + 1)**2
Suppose 3*h = 5*k - k + 1, 0 = 3*k - 6. Let p be (-5)/75 + 1/h. Let 0 - 2/15*x + p*x**2 - 2/15*x**3 = 0. What is x?
0, 1
Find o, given that 7*o**4 - 8398080*o + 8411040*o**2 + 1074 - 525 - 2*o**4 - 549 - 12965*o**3 = 0.
0, 1, 1296
Let g = -221441/63 + 3515. Let x(q) be the second derivative of 5*q + 0 + g*q**3 - 1/210*q**5 + 0*q**2 + 0*q**4. What is u in x(u) = 0?
-2, 0, 2
Let z(o) be the first derivative of 4*o**3/3 + 258*o**2 - 2680*o + 7569. Solve z(c) = 0.
-134, 5
Suppose -2*q = 4*p - 36, -2*p + 19 - 5 = -q. Let i be (164/(-24) - -7)*12/p. Solve 1/2 + 3/4*w**3 - 3/4*w - 1/4*w**2 - i*w**4 = 0.
-1, 1, 2
Solve -50*j**2 + 5/2*j**4 + 360 + 35/2*j**3 - 330*j = 0.
-6, 1, 4
Suppose -11*x - 54 = -14*x. Suppose -2*f = 8, -f = 2*i - 4*f - x. Find v, given that -311*v**4 - 10*v**2 + 308*v**4 - 2*v**2 + 10*v**i - 1 + 6*v = 0.
1/3, 1
Suppose -20*f = -110*f. Let z(p) be the second derivative of -2/105*p**6 + 0 - 1/14*p**5 + 0*p**2 + 4*p + f*p**3 + 5/147*p**7 + 1/21*p**4. Solve z(b) = 0.
-1, 0, 2/5, 1
Let w be (-8 - -2*75/35) + 24/36*6. Factor -w*i**2 + 0 - 94/7*i.
-2*i*(i + 47)/7
Let x(b) be the third derivative of -b**6/40 - 33*b**5/10 + 139*b**4/8 + 102*b**3 + 2189*b**2. Suppose x(w) = 0. What is w?
-68, -1, 3
What is h in 351 - 357/2*h + 3/2*h**2 = 0?
2, 117
Suppose -k - 12 = -4*k. Suppose 3*h + 3 = k*h. What is q in 15*q**2 + 12*q**3 + 238 - 238 + h*q = 0?
-1, -1/4, 0
Determine r, given that -1/3*r**3 - 8/3*r**2 + 0*r + 1/3*r**5 + 8/3*r**4 + 0 = 0.
-8, -1, 0, 1
Let g(q) = 5*q**3 + 12*q**2 + 17*q - 50. Let y(t) = -t**3 - t**2 - 3*t. Let a = -367 + 363. Let w(d) = a*y(d) - g(d). Factor w(p).
-(p - 2)*(p + 5)**2
Suppose 2107336 = -107*a + 2107550. Suppose -5/2 + 1/2*s**2 - a*s = 0. Calculate s.
-1, 5
Let d = 231651/26 - 17819/2. Let a(r) be the first derivative of 30 - 7/26*r**4 - 10/39*r**3 + 0*r + d*r**2. Determine n, given that a(n) = 0.
-1, 0, 2/7
Let l be (4/(-10))/(12/(-160)). Let c(n) = n**3 - 42*n**2 + 298*n - 31. Let a be c(33). Factor 11/3*t**4 + 73/3*t**a + 43/3*t**3 + 56/3*t + l + 1/3*t**5.
(t + 1)**3*(t + 4)**2/3
Let f(q) = 2*q**3 + 203*q**2 + 910*q - 2873. Let p(n) = -3*n**3 - 408*n**2 - 1820*n + 5746. Let c(w) = -13*f(w) - 6*p(w). Factor c(a).
-(a + 13)**2*(8*a - 17)
Let t be -4*(12 - 8)/4. Let h be t/(-18) + (-7)/((-378)/60). Factor 1/3*q**2 - h*q - 5/3.
(q - 5)*(q + 1)/3
Let c = 16 + 81. Let j = c + -89. Factor 19*n**4 - 4*n**5 + n**3 - 4*n**3 + j*n**3 + 0*n**5.
-n**3*(n - 5)*(4*n + 1)
Let s(i) be the second derivative of i**4/4 - 25*i**3/6 + 25*i**2 + 748*i. Suppose s(l) = 0. Calculate l.
10/3, 5
Let w(r) be the second derivative of r**4/84 + 215*r**3/42 + 1202*r. Factor w(a).
a*(a + 215)/7
Let q(j) = 8*j**3 - 4*j**2 - 10*j + 45. Let c be q(3). Let l be 246/c - 248/310. Suppose 8/13*d - 2/13*d**2 - l = 0. What is d?
1, 3
Let j(l) be the third derivative of -l**7/126 - l**6/30 - l**5/30 + 41*l**4/8 - 3*l**2. Let f(y) be the second derivative of j(y). What is s in f(s) = 0?
-1, -1/5
Let q(d) be the third derivative of 0*d**3 + 0 + 0*d + 1/78*d**5 - 56*d**2 + 1/780*d**6 + 0*d**4. Factor q(u).
2*u**2*(u + 5)/13
Let t be (-18 - (-2328)/128)*(5 + (-30)/18). Suppose -11/8*u - 7/8*u**2 - t - 1/8*u**3 = 0. What is u?
-5, -1
Find t such that 0 - 16/5*t - 386/5*t**4 + 126/5*t**5 + 268/5*t**3 + 8/5*t**2 = 0.
-2/9, 0, 2/7, 1, 2
Let y(n) = -9*n**2 + 2394*n + 974. Let l(p) = -2*p**2 + 599*p + 244. Let c(k) = 22*l(k) - 6*y(k). Factor c(i).
2*(i - 119)*(5*i + 2)
Factor 1/3*x**2 + 2/3 + x.
(x + 1)*(x + 2)/3
Let f = 153 + -149. Let v(x) = -3*x**3 + 7*x**2 + 10*x + 4. Let w(l) = -8*l**3 + 21*l**2 + 29*l + 11. Let s(n) = f*w(n) - 11*v(n). Let s(j) = 0. What is j?
-6, -1, 0
Determine m so that 144*m + 196 - m**2 - 52 + 148 + 12 - 3*m**2 = 0.
-2, 38
Let d(v) be the second derivative of 2*v + 1/4*v**4 - 13/2*v**3 + 80 - 21*v**2. Factor d(y).
3*(y - 14)*(y + 1)
Let x(j) = 18*j**3 - 272*j**2 - 1182*j - 346. Let l(w) = 9*w**3 - 138*w**2 - 591*w - 174. Let r(q) = -7*l(q) + 3*x(q). Let r(g) = 0. Calculate g.
-3, -1/3, 20
Let g(p) be the third derivative of p**6/1080 + p**5/90 + 19*p**3/6 - 2*p**2 - 10*p. Let c(b) be the first derivative of g(b). Solve c(u) = 0.
-4, 0
Let f(q) be the third derivative of -q**8/420 - 92*q**7/525 - 481*q**6/150 + 368*q**5/25 - 96*q**4/5 + 511*q**2 - q. Factor f(d).
-4*d*(d - 1)**2*(d + 24)**2/5
Let a(p) = -87*p - 256. Let v be a(-3). Let u(k) be the third derivative of 19*k**2 + 1/60*k**v - 1/6*k**3 + 0*k + 0 + 0*k**4. Factor u(h).
(h - 1)*(h + 1)
Let c(r) be the first derivative of -r**3/3 - 153*r**2/2 - 302*r + 7152. Let c(u) = 0. Calculate u.
-151, -2
Let q(p) = -199*p + 6569. Let k be q(33). Factor 4/3*c + 4 + 1/3*c**4 + 0*c**3 - 3*c**k.
(c - 2)**2*(c + 1)*(c + 3)/3
Let s(t) be the third derivative of 3*t**6/10 - 122*t**5/3 + 5134*t**4/3 + 4624*t**3/3 - 244*t**2. Factor s(m).
4*(m - 34)**2*(9*m + 2)
Let d(p) be the third derivative of -p**8/336 + 4*p**7/105 + p**6/4 + 8*p**5/15 + 11*p**4/24 - 10028*p**2. Factor d(m).
-m*(m - 11)*(m + 1)**3
Let d(x) be the second derivative of -x**6/180 + x**5/30 + 5*x**4/24 - x**3/2 + 2*x + 49. Factor d(b).
-b*(b - 6)*(b - 1)*(b + 3)/6
Let p(u) = -13*u**3 + 45*u**2 + 13*u - 45. Let z(o) = 6*o**3 - 22*o**2 - 6*o + 22. Suppose -2*i + 350 = 