 + 8. Let f(q) = i(q) - 6*y(q). Let f(s) = 0. What is s?
1, 2, 87
Let g be (-72)/7*(5 + -17 + 26). Let x be g/(-64)*((-8)/(-6) - 1). Let 3*s**3 + 0 + 5/2*s**4 + 1/4*s + x*s**5 + 3/2*s**2 = 0. What is s?
-1, -1/3, 0
Let s = -3637 + 3639. Let u(z) be the third derivative of -2*z**3 + 0*z + 0 + 5/8*z**4 - 1/20*z**5 + 12*z**s. Factor u(q).
-3*(q - 4)*(q - 1)
Let k(a) be the first derivative of -a**5/20 + 223*a**4/16 - 4181*a**3/4 + 12321*a**2/8 - 14616. Factor k(c).
-c*(c - 111)**2*(c - 1)/4
Let n be (-132)/(-55)*(-135)/(-30). Factor -14/5*w**4 + 2/5*w**5 + 36/5*w**2 - n + 4*w**3 - 54/5*w.
2*(w - 3)**3*(w + 1)**2/5
Let 2028/5 - 2184/5*z - 3/5*z**3 + 159/5*z**2 = 0. What is z?
1, 26
Factor 2*f**3 + 3039 + 358*f**2 + 3064 - 6103.
2*f**2*(f + 179)
Suppose 357782 + 38*o**3 + 21168*o + 49702 - 4*o**4 - 2520*o**2 - 74*o**3 - 41*o**3 - 131*o**3 = 0. What is o?
-21, 11
Suppose 0 = -4*q + 13 - 5. Let a be 235/40 - (6 + -2). Factor -3/8*k**4 + a*k**3 - 27/8*k - 9/8*k**q + 0.
-3*k*(k - 3)**2*(k + 1)/8
Let y be (66/(-21))/((-104)/(-56) - 2). Suppose 69*o**4 + 4*o**2 - 45*o**3 + y*o**2 + 19*o**2 - 74*o**4 + 5*o**5 = 0. Calculate o.
-3, 0, 1, 3
Let n be 2/(-4)*-1*8. Suppose -130 = 4*y + n*b - 358, 2*b - 54 = -y. Factor 38*h**4 - 1 + 1 - 8*h**3 - 34*h**4 + y*h**5.
4*h**3*(3*h - 1)*(5*h + 2)
Let n(t) = 28*t**2 - 14*t + 7. Let i be n(5). Suppose -3*u + i = 5*a, 2*u - u = 3*a - 385. Suppose -10 - a*j + 60*j + 53*j - 5*j**2 = 0. Calculate j.
-2, -1
Let q(z) be the third derivative of -2*z**7/315 - 7*z**6/30 - 38*z**5/45 + z**2 - 12*z. What is u in q(u) = 0?
-19, -2, 0
Let s be 1 + -1 - (0 - 10/2). Factor 739*g + 65*g**2 - 287*g - 302*g - s*g**3.
-5*g*(g - 15)*(g + 2)
Let l(j) be the first derivative of 3*j**4/28 - 23*j**3/7 + 12*j**2 + 240*j/7 + 1953. Let l(i) = 0. What is i?
-1, 4, 20
Let k be -2 - (2 - 14 - -6). Let f(s) be the first derivative of 1 + 5/7*s**2 + 1/14*s**k - 8/21*s**3 - 4/7*s. Let f(l) = 0. What is l?
1, 2
Let q(u) be the first derivative of -14*u**3/15 - 102*u**2/5 - 112*u/5 + 1143. Suppose q(w) = 0. Calculate w.
-14, -4/7
Let v(g) be the third derivative of -9/40*g**6 + 0*g**5 - 1/112*g**8 + 0*g + 0*g**3 + 0*g**4 + 105*g**2 - 1/7*g**7 + 0. Factor v(o).
-3*o**3*(o + 1)*(o + 9)
Let z(l) = -12*l**2 + 1301*l - 1341. Let r(k) = k**2 + k + 2. Let x(y) = -13*r(y) - z(y). Factor x(a).
-(a - 1)*(a + 1315)
Solve -2963088/5 - 48778/5*y**3 - 2261304/5*y - 575244/5*y**2 = 0 for y.
-114/29
Let q(y) = -6*y**2 - 40*y - 166. Let x be -2 + (-20)/(-15)*9/(-6). Let w(c) = c**2 + c + 1. Let p(z) = x*w(z) - q(z). Factor p(u).
2*(u + 9)**2
Let y be (11/(-36) + (-213)/(-3834))/(3 - 49/16). Let 0 - 6/5*n - 3/5*n**y - 12/5*n**3 - 3*n**2 = 0. Calculate n.
-2, -1, 0
Let d = 93889/180 - 2608/5. Let s(m) be the third derivative of 0 - 19*m**2 + d*m**4 - 1/225*m**5 + 1/45*m**3 + 0*m. Solve s(h) = 0 for h.
-1/2, 1
Solve -1/8*i**5 + 245/2 - 33/8*i**4 - 335/8*i**3 + 42*i - 947/8*i**2 = 0.
-14, -5, -1, 1
Let m(o) = -5*o + 98. Let l be m(19). Factor 8*b**4 - 5*b**2 - 3*b**l - 12*b**4 + 7*b**4 - b**2.
3*b**2*(b - 2)*(b + 1)
Let l(o) be the second derivative of -o**4/12 - 31*o**3/3 - 177*o**2/2 - 1044*o + 2. Find b, given that l(b) = 0.
-59, -3
Suppose 51 + 219/8*b**2 + 311/4*b + 5/8*b**3 = 0. What is b?
-204/5, -2, -1
Let b = -1864 + 83882/45. Let v(q) be the second derivative of 10*q + 0*q**5 + 0 + 1/9*q**3 + 1/9*q**4 + 0*q**2 - 1/63*q**7 - b*q**6. Find g such that v(g) = 0.
-1, 0, 1
Let m be (20/6)/(19/(342/12)). Factor -3*u**2 + 22*u**3 + 5*u**3 + 7*u**2 + m*u**5 + 23*u**4 + 5*u**2.
u**2*(u + 1)*(u + 3)*(5*u + 3)
Let m be ((-280)/735)/(12/(-35)). Factor 2/9*l**2 + m*l + 4/3.
2*(l + 2)*(l + 3)/9
Let g(v) = 16*v**3 - 24*v**2 + 393*v - 1100. Let c(i) = -54*i**3 + 72*i**2 - 1180*i + 3300. Let d(o) = 3*c(o) + 10*g(o). Factor d(w).
-2*(w - 5)**2*(w + 22)
Determine x, given that 554*x**2 - x**4 - 8*x**3 - 4840 + 3*x**4 + 472*x + 584*x + 68*x**3 = 0.
-11, -10, 2
Determine x so that 9/7*x**2 + 1275/7*x + 846/7 - 423/7*x**3 - 3/7*x**4 = 0.
-141, -1, 2
Let g(k) be the third derivative of -k**5/240 - 137*k**4/96 + 139*k**3/12 - 77*k**2 + 14. Factor g(h).
-(h - 2)*(h + 139)/4
Let y be 92/6 - (-1)/12*-4. Let i = -10 + y. Factor -12*c**2 - 44*c**3 - 139 + 137 - 14*c - 24*c**2 - 6*c**i - 26*c**4.
-2*(c + 1)**4*(3*c + 1)
Suppose 0 = -c - 3*o - 35 + 15, 8*c + 3*o - 8 = 0. Solve -104/3*h**3 - 416*h - 192 - 772/3*h**2 - 4/3*h**c = 0 for h.
-12, -1
Let o(s) be the third derivative of 0*s + 1/12*s**5 - 1/8*s**4 + 0 + 102*s**2 - 1/120*s**6 - 3/2*s**3. Factor o(d).
-(d - 3)**2*(d + 1)
Let s(k) = -5*k - 26. Let y(r) = 15*r + 78. Let z(p) = -8*s(p) - 3*y(p). Let w be z(-11). Factor 3*x**2 - 5*x + w*x + 11 - 18 + 43.
3*(x + 2)*(x + 6)
Let l = 108 - 154. Let x be (l/36 - (-4)/(-18))*-4. Factor -4*o**2 - x*o - o - o.
-4*o*(o + 2)
Let l = 8891 + -79895/9. Solve -82/9*p**4 + l*p**3 - 16/3*p**2 + 0 + 2/3*p**5 + 0*p = 0.
0, 2/3, 1, 12
Factor -135*m - 7/3*m**3 + 52*m**2 + 0.
-m*(m - 3)*(7*m - 135)/3
Suppose -18*l + 31*l = -2197. Let i = 848/5 + l. Factor 0 - 12/5*c**2 - 18/5*c**3 - 12/5*c**4 - 3/5*c - i*c**5.
-3*c*(c + 1)**4/5
Let y(a) be the second derivative of -a**4/28 + 26*a**3/7 - 720*a**2/7 + 133*a + 15. What is t in y(t) = 0?
12, 40
Let d be -5*(1 + 6)/(-7). Factor -5*g**5 - d*g + 5*g**3 - 5*g**4 + 3*g**3 + g**3 + 10*g**2 - 5 + g**3.
-5*(g - 1)**2*(g + 1)**3
Suppose -36 = -4*x + 3*g, 186*x - 191*x - 12 = g. Find q such that 1/3*q**5 + 0 - 1/3*q**3 - 1/3*q**4 + x*q + 1/3*q**2 = 0.
-1, 0, 1
Let p = -1531 + 1534. Let u(f) be the second derivative of 1/10*f**6 + f**p + 0 + 5/4*f**4 + 24*f + 0*f**2 + 3/5*f**5. Factor u(j).
3*j*(j + 1)**2*(j + 2)
Let t(v) be the third derivative of v**5/240 + 65*v**4/24 - 87*v**3/8 + 11*v**2 - 62*v + 2. Factor t(d).
(d - 1)*(d + 261)/4
Let r(z) = z**4 - 2*z**3 - 7. Let s(g) = 28*g**4 - 356*g**3 + 896*g**2 - 592*g - 168. Let m(q) = -24*r(q) + s(q). Determine h, given that m(h) = 0.
0, 1, 2, 74
Let f(c) be the third derivative of c**8/1512 + c**7/135 + 13*c**6/540 + c**5/270 - 7*c**4/54 - 8*c**3/27 + 1483*c**2. Determine a, given that f(a) = 0.
-4, -2, -1, 1
Suppose 38*m = 20*m + 54. Let g(a) = 3*a - 6*a + 2*a + 2. Let d(f) = f**2 - f - 2. Let s(h) = m*d(h) + 2*g(h). Factor s(u).
(u - 2)*(3*u + 1)
Let 928*c**3 + 68*c + 28*c**4 - 4*c**5 + 196*c - 1847*c**3 - 508*c**2 + 1139*c**3 = 0. What is c?
-6, 0, 1, 11
Let w(u) be the third derivative of u**6/360 - 14*u**5/45 + 559*u**4/72 + u**2 + 391*u - 6. Factor w(m).
m*(m - 43)*(m - 13)/3
Let q(p) be the second derivative of -2*p**7/21 - 14*p**6/15 - 6*p**5/5 - 15*p + 34. Find v, given that q(v) = 0.
-6, -1, 0
Factor 96/11*s - 2/11*s**2 + 306/11.
-2*(s - 51)*(s + 3)/11
Let x be (3/2)/((-15)/3200*-60). Factor 22/9*d**2 - 8 - x*d - 2/9*d**3.
-2*(d - 6)**2*(d + 1)/9
Let r(t) = t**2 + 8*t + 19. Let z be r(-3). Suppose 4*d**2 - 7*d**5 - 6*d**5 + 4*d - 3*d**3 - z*d**4 + 12*d**5 = 0. Calculate d.
-2, -1, 0, 1
Let o(p) be the first derivative of p**6/240 + 5*p**5/48 - 3*p**4/8 - 36*p**3 + 112. Let b(n) be the third derivative of o(n). Factor b(q).
(q + 9)*(3*q - 2)/2
Let q(p) be the second derivative of 1/60*p**5 + 1/120*p**6 + 0 - 1/12*p**4 + 0*p**3 + 13*p + 21/2*p**2. Let t(d) be the first derivative of q(d). Factor t(r).
r*(r - 1)*(r + 2)
Find j, given that -6038903 + 17982*j + 0*j**2 - 31709833 - 14767*j - 4*j**2 + 21361*j = 0.
3072
Find t, given that 1363 + 4*t**3 + 3009*t**2 + 1360 + 1347*t**2 - 2723 = 0.
-1089, 0
Suppose 5157 = -15*l + 6*l. Let q = l + 10889/19. Factor 0 + q*a**4 + 2/19*a**3 - 2/19*a**2 - 2/19*a.
2*a*(a - 1)*(a + 1)**2/19
Let h(z) be the first derivative of -2*z**5/45 + 17*z**4/6 - 100*z**3/27 + 1711. Determine j, given that h(j) = 0.
0, 1, 50
Let g = 83495 - 333977/4. Factor 0 + 1/4*d**5 + 1/2*d**3 + 0*d**2 - g*d**4 + 0*d.
d**3*(d - 2)*(d - 1)/4
Let h = -1361039 + 1361042. Factor -8 - 97/2*t**2 - 18*t**h - 2*t**4 - 36*t.
-(t + 4)**2*(2*t + 1)**2/2
Let y(d) be the first derivative of d**4/2 + 21*d**3 + 15*d**2 - 31*d + 827. Let y(b) = 0. Calculate b.
-31, -1, 1/2
What is n in 64/3*n**3 + 488*n**2 + 14080/3*n + 1/3*n**4 + 48400/3 = 0?
-22, -10
Let k(t) be the second derivative of -t**6/40 - 33*t**5/80 - t**4/2 + 5*t**3/2 - 129*t. Suppose k(i) = 0. Calculate i.
-10, -2, 0, 1
Let x(c) be the second derivative of -2*c**5/