3 + 0*q + 1/20*q**5. Let b(o) = 0. What is o?
-5, -2
Let d(t) = -2*t**3 + 7*t**2 + 5*t + 1. Let o be d(4). Factor 106*q**5 - 80*q**3 + 46*q**5 - 27*q**o + 10*q**2 - 25*q**4 - 30*q**2.
5*q**2*(q - 1)*(5*q + 2)**2
Suppose -5*q + 49 - 269 = -5*l, -122 = 3*q + 2*l. Let v be (-69)/(-35) - (-3)/q*-6. What is j in -4/5*j**5 - 2/5*j + 0 + 1/5*j**4 + v*j**3 + j**2 = 0?
-1, 0, 1/4, 2
Let z(u) be the third derivative of -u**6/540 + u**5/27 + 32*u**4/27 + 32*u**3/3 + 66*u**2 - 1. Solve z(q) = 0 for q.
-4, 18
Suppose -350 = -4*y - 338. Let f(l) be the first derivative of 1/4*l**3 + 0*l**2 + y + 0*l. Factor f(o).
3*o**2/4
Find j such that 20*j**2 - 20 - 15004*j**3 + 7505*j**3 + 7521*j**3 - 21*j - j**5 = 0.
-4, -1, 1, 5
Let r = 33 - 23. Suppose 5*o + 5*v = r, 0 = -4*o - 10*v + 5*v + 8. Factor 0 - 4/5*m**3 - 1/5*m - m**o.
-m*(m + 1)*(4*m + 1)/5
Factor 13*o - 6*o**4 - 26*o - 15*o**3 + 10*o**5 + 23*o - 5*o**5 + 5*o**2 + o**4.
5*o*(o - 2)*(o - 1)*(o + 1)**2
Let c = 126 + -121. Let b(r) = 6*r**2 + 4*r + 3. Let v(h) = -5*h**2 - 4*h - 3. Let o(n) = c*v(n) + 4*b(n). Suppose o(l) = 0. What is l?
-3, -1
Let q(w) be the third derivative of -w**5/15 + 7*w**4/3 - 146*w**2. Solve q(f) = 0 for f.
0, 14
Let g(a) be the first derivative of a**5/90 - 4*a**4/9 + 64*a**3/9 - a**2/2 - 9. Let f(r) be the second derivative of g(r). Solve f(c) = 0 for c.
8
Let k be (40/15)/(4/6). Suppose 0*a = -5*n + 5*a - 5, 2*n - k*a = -8. Find q such that -3*q**n + 12*q - 16 + 1/4*q**3 = 0.
4
Let q(d) be the third derivative of d**8/84 - 11*d**6/30 + 6*d**5/5 - 4*d**4/3 - 128*d**2. Find p such that q(p) = 0.
-4, 0, 1, 2
Let 316/3*z + 106/3 - 2*z**2 = 0. Calculate z.
-1/3, 53
Let b(q) be the second derivative of 9*q**5/4 - q**4 - 13*q**3/2 + 9*q**2 - q - 3. Let b(n) = 0. Calculate n.
-1, 3/5, 2/3
Solve -900/11 + 1920/11*a + 661/11*a**3 + 7*a**4 + 2111/11*a**2 + 3/11*a**5 = 0 for a.
-10, -3, 1/3
Let x(m) be the second derivative of -3*m**5/20 + m**4/4 + 2*m**3 - 6*m**2 + 4*m + 9. Factor x(h).
-3*(h - 2)*(h - 1)*(h + 2)
Factor -2*o**3 - 24/13*o**2 + 0 - 12/13*o**4 - 8/13*o - 2/13*o**5.
-2*o*(o + 1)**2*(o + 2)**2/13
Let x(c) be the second derivative of -c**5/50 - 104*c**4/15 + c**3/15 + 208*c**2/5 - 3*c + 28. Let x(l) = 0. What is l?
-208, -1, 1
Let w(d) be the second derivative of -d**7/3780 - 13*d**6/540 - 169*d**5/180 - 29*d**4/12 - 11*d. Let s(v) be the third derivative of w(v). Factor s(n).
-2*(n + 13)**2/3
Let d(i) be the third derivative of 6/25*i**5 - 64/15*i**3 + 13*i**2 + 4/15*i**4 + 1/525*i**7 + 11/300*i**6 + 0*i + 0. What is y in d(y) = 0?
-4, 1
Let d(b) be the second derivative of b**8/47040 + b**7/17640 - b**6/5040 - b**5/840 + 5*b**4/4 + 5*b. Let u(o) be the third derivative of d(o). Factor u(y).
(y - 1)*(y + 1)**2/7
Let i(k) = 11*k - 162. Let p be i(15). Let y(z) be the third derivative of 0 + 1/12*z**4 + 0*z + 4*z**2 - 1/240*z**5 - 2/3*z**p. Factor y(a).
-(a - 4)**2/4
Let h be 4 - (-3 + (-44)/(-12) + 1/3). Factor 1/4*a**2 + 1/2*a - 1/4*a**h + 0.
-a*(a - 2)*(a + 1)/4
Suppose 4*i + p = 6, 0 = 2*i + 3*i + 3*p - 4. Let h be 0*i/(-12)*-3. Factor h*m + 0*m**2 + 0 + 2/5*m**3 + 2/5*m**4.
2*m**3*(m + 1)/5
Let q = -506/3 - -170. Let m(t) = -t + 4. Let f be m(4). Suppose -25/3*o**3 + 20/3*o**2 + f - q*o = 0. What is o?
0, 2/5
Let q(c) be the first derivative of -c**8/5880 + c**7/1470 - c**5/210 + c**4/84 + 4*c**3 + 10. Let r(v) be the third derivative of q(v). What is b in r(b) = 0?
-1, 1
Factor 0 - 7/4*o**3 + 0*o - 1/4*o**2 - 2*o**4 + 4*o**5.
o**2*(o - 1)*(4*o + 1)**2/4
Suppose -9 = -26*g + 121. Let a(j) be the third derivative of 0*j - 4*j**2 - 1/120*j**g - 1/24*j**4 + 0 + 0*j**3. Factor a(q).
-q*(q + 2)/2
Let n(o) be the second derivative of -o**4/42 + 5*o**3/7 - 2*o**2 + o + 1. Factor n(x).
-2*(x - 14)*(x - 1)/7
Factor -32*q**4 - 198*q**5 + 203*q**5 - 3*q**4 - 13*q**3 - 27*q**3.
5*q**3*(q - 8)*(q + 1)
Let p(w) = -w**3 - 4*w**2 + 3*w. Let c be p(-5). Solve c*v**3 + 18*v**2 - 35*v - 5*v**3 - 8 + 47*v = 0.
-2, 2/5
Factor 29*l**3 - 75*l**2 - 12*l**3 + 42*l**3 + 35*l - 14*l**3 - 5*l**4.
-5*l*(l - 7)*(l - 1)**2
Let i(y) be the third derivative of -y**6/20 - y**5/15 + 7*y**4/12 - 2*y**3/3 - 137*y**2. Factor i(d).
-2*(d - 1)*(d + 2)*(3*d - 1)
Suppose 4*u = -k + 20, 1 = -u + 3. Determine y so that -8*y - k*y**2 - 4*y**2 + 4*y**3 + 20*y**2 = 0.
-2, 0, 1
Let s(n) = 2*n**3 - 4*n - 4. Let k(d) = d**2 - d - 1. Let m = 58 + -57. Let t(a) = m*s(a) - 4*k(a). Find c, given that t(c) = 0.
0, 2
Let u be -6*(2/6)/(220/(-200)). Factor -20/11*n**2 - 2/11 - 10/11*n**4 - 10/11*n - 2/11*n**5 - u*n**3.
-2*(n + 1)**5/11
Let k = -26 + 31. Let x be (45/210)/(k/(-7) - -1). Suppose -9/4 - 3/2*v + x*v**2 = 0. What is v?
-1, 3
Let y(f) be the third derivative of f**7/840 - f**6/40 + 9*f**5/40 + f**4/24 + f**3 + 4*f**2. Let d(c) be the second derivative of y(c). What is n in d(n) = 0?
3
Let y(j) = 20*j**3 + 65*j**2 - 200*j + 305. Let t(u) = u**3 - u**2 + 4*u + 1. Let a(o) = -25*t(o) + y(o). Factor a(s).
-5*(s - 14)*(s - 2)**2
Let c be (-3)/2*16/(-12). Let l = 5 - c. Let n(s) = 2*s**2 + 7*s + 2. Let i(y) = -2*y**2 - 8*y - 2. Let w(j) = l*i(j) + 4*n(j). Solve w(u) = 0.
-1
Let h(s) be the third derivative of s**6/4 + 63*s**5/20 + 17*s**4/2 + 15*s**3/2 + 78*s**2. Factor h(i).
3*(i + 1)*(i + 5)*(10*i + 3)
What is u in 4*u - 2/3*u**2 - 10/3 = 0?
1, 5
Let n = -707 + 59389/84. Let z(x) be the second derivative of x**2 + 2/3*x**3 - 1/60*x**6 - x + n*x**7 + 0 - 1/8*x**5 + 1/24*x**4. Solve z(h) = 0.
-1, 2
Factor -6*u**2 + 105/2*u - 36.
-3*(u - 8)*(4*u - 3)/2
Let h(u) be the first derivative of -u**7/315 + u**5/45 - u**3/9 + 3*u**2/2 + 4. Let l(g) be the second derivative of h(g). Factor l(i).
-2*(i - 1)**2*(i + 1)**2/3
Let i(x) = -x**3 - x**2 + 2*x. Let c(f) = 8*f**3 + 26*f**2 + 8*f. Let l(y) = c(y) + 5*i(y). What is z in l(z) = 0?
-6, -1, 0
Suppose 0 = 13*n - 9*n - 24. Determine s so that -16*s**5 + 27*s**5 + 3*s + 2*s - n*s**5 - 10*s**3 = 0.
-1, 0, 1
Suppose 2*w + 4 + 11 = -3*q, q + 5 = -4*w. Let a(b) = -2*b**2 - 11*b - 3. Let g be a(q). Factor -3/4*h**g - 3/4*h**3 + 3/2*h**4 + 0*h + 0.
3*h**2*(h - 1)*(2*h + 1)/4
Let y be 10/(-25) - (-231)/15. Suppose w + 290 = -12*o + y*o, 5*w - 216 = -2*o. Factor 16/7 - o*r**3 - 24*r + 84*r**2.
-2*(7*r - 2)**3/7
Suppose -1 - 1 = -f, 0 = -4*h + 4*f. Suppose 18*g**2 + 2*g**h - 4*g**3 + 9*g**2 - 5*g**2 = 0. What is g?
0, 6
Let q = 51/11 + -2029/440. Let y(u) be the third derivative of -q*u**6 - 1/140*u**7 - u**3 + 1/4*u**4 + 0 + 3/40*u**5 + 0*u + 2*u**2. Factor y(c).
-3*(c - 1)**2*(c + 2)**2/2
Let g(j) be the first derivative of -2*j**5/5 + 31*j**4/2 - 448*j**3/3 - 256*j**2 + 696. Factor g(k).
-2*k*(k - 16)**2*(k + 1)
Let v(k) = -6*k - 22. Let i be v(-4). Solve -87*j**i - 5 - 11*j + 44*j**2 + 36*j**2 - j**3 = 0 for j.
-5, -1
Let y(c) be the first derivative of c**6/15 - c**5/10 - c**4/12 - 47*c**2/2 + 28. Let d(k) be the second derivative of y(k). Factor d(f).
2*f*(f - 1)*(4*f + 1)
Let r = -178455 + 1257709/7. Let o = -1214 + r. Factor 12/7*v**3 + 8/7 + o*v**2 + 2/7*v**4 + 24/7*v.
2*(v + 1)**2*(v + 2)**2/7
Let -339*m**2 - 335*m**2 - 33*m**4 + 9*m**5 + 36*m**3 + 662*m**2 = 0. What is m?
0, 2/3, 1, 2
Let s = 10346 - 10344. Suppose 0 + 0*d**3 + 16/5*d + 16/5*d**s - 4/5*d**4 - 1/5*d**5 = 0. What is d?
-2, 0, 2
Let c(h) be the third derivative of -1/90*h**5 + 0*h**4 + 0*h + 1/180*h**6 - h**2 - 1/504*h**8 + 0 + 0*h**3 + 1/315*h**7. What is q in c(q) = 0?
-1, 0, 1
Suppose 0 = 2*j + 3*m + 2, j = 2*j + 4*m + 6. Determine g, given that 0 + 12*g**j - 36*g + 4 + 69*g**2 = 0.
2/9
Let y(v) = 30*v**2 + 48*v. Let m(o) = -7*o**2 - 12*o. Let k(n) = -21*m(n) - 5*y(n). Factor k(g).
-3*g*(g - 4)
Factor -2*f - 3/2*f**2 + 2 + f**3 + 1/2*f**4.
(f - 1)**2*(f + 2)**2/2
Let g(c) be the third derivative of -3*c**6/10 - 49*c**5/5 - 92*c**4/3 - 40*c**3 + 139*c**2. Factor g(z).
-4*(z + 15)*(3*z + 2)**2
Let v = -6 - -11. Suppose -v*i + 1 = -4. Let l(k) = 1. Let r(d) = 3*d**2 - 6*d + 2. Let p(f) = i*r(f) - 2*l(f). Factor p(t).
3*t*(t - 2)
Let d(h) = -29*h**3 + 9*h**2 + 29*h - 15. Let z be -9 + 8/(24/9). Let s(m) = -405*m**3 + 125*m**2 + 405*m - 210. Let f(n) = z*s(n) + 85*d(n). Factor f(r).
-5*(r - 1)*(r + 1)*(7*r - 3)
Suppose 8*p + 0*p = 16. Suppose 107*a**3 - p + 2 - 16*a**2 - 111*a**3 = 0. Calculate a.
-4, 0
Let q(j) = j**3 