0 = -3*m - 6 + 21. Let o(l) = m*i(l) - 6*z(l). Solve o(a) = 0 for a.
-1, 3/7
Let i(c) = c**3 - 8*c**2 - 10*c + 8. Let j be i(9). Let y be (3/(-2) - j)*0/4. Suppose 2/5*x + y + 2/5*x**2 = 0. What is x?
-1, 0
Let c(r) be the first derivative of 3*r**4/2 + 13*r**3 + 15*r**2/2 - 18*r - 43. Let c(m) = 0. Calculate m.
-6, -1, 1/2
Let b(z) be the third derivative of z**6/180 + 29*z**5/45 - 21*z**2. What is j in b(j) = 0?
-58, 0
Let z = 39 - 27. Let r be 26/z + 3/(-18). Solve 1/3*q - 1/3*q**r + 0 - 1/3*q**3 + 1/3*q**4 = 0.
-1, 0, 1
Let f be 4/(-16)*-8 - -2*1. Let o(b) be the second derivative of 5*b + 1/5*b**2 + 0 + 2/5*b**3 + 3/10*b**f. Factor o(g).
2*(3*g + 1)**2/5
Let z(a) = -3*a**3 + 45*a**2 + 238*a - 106. Let f(l) = l**3 - l**2 - 2*l - 1. Let c(k) = -4*f(k) + 2*z(k). What is g in c(g) = 0?
-4, 2/5, 13
Suppose -13*s + 5 + 9 = -25. Factor 4/7*v**2 + 2/7*v**s + 0*v + 0.
2*v**2*(v + 2)/7
Let g = 99 + -96. Suppose -4*p + 8*k - 3*k + g = 0, -13 = -4*p - 5*k. Factor -1/3*r + 0*r**2 + 0 + r**5 - 8/3*r**4 + p*r**3.
r*(r - 1)**3*(3*r + 1)/3
Let i(h) be the second derivative of h**7/210 + h**6/150 - 9*h**5/50 - 5*h**4/6 - 47*h**3/30 - 3*h**2/2 + 199*h. Factor i(z).
(z - 5)*(z + 1)**3*(z + 3)/5
Let f(v) = -v**3 - 5*v**2 + v + 5. Suppose 2*a + 32 = -4*k - 3*a, -3*k - 4*a - 25 = 0. Let u(y) = 4*y**2 - 4. Let l(z) = k*u(z) - 2*f(z). Factor l(x).
2*(x - 1)**2*(x + 1)
Factor 112*l - 51 + 34 - 31 + 20*l**2.
4*(l + 6)*(5*l - 2)
Let x(i) be the first derivative of -4*i**3/3 + 72*i**2 - 1296*i + 243. Factor x(w).
-4*(w - 18)**2
Let i be (-9)/(54/4)*-3. Solve t**3 - t**2 - 2*t**2 + t**i + t = 0 for t.
0, 1
Let t be (-28 - -26) + (-48)/(-8). Suppose 0*h + 135/2*h**5 - 12*h**3 - 81/2*h**t + 6*h**2 + 0 = 0. What is h?
-2/5, 0, 1/3, 2/3
Suppose -4*a + 3 + 17 = 0. Suppose 2*n - 2*i - 55 = 5, 5*n + a*i = 180. Factor n*s**2 + 42*s**4 - 30*s**2 - 72*s**3 + 18*s + 6*s**4 + 3.
3*(s - 1)**2*(4*s + 1)**2
Let q(g) be the second derivative of g**6/1260 + g**5/84 + g**4/14 + 7*g**3/2 - 25*g. Let l(m) be the second derivative of q(m). Determine w so that l(w) = 0.
-3, -2
Let v be -50*((0 - 1) + (-10824)/(-10920)). Let j = v - 2/13. Factor j*o**3 - 2/7 - 6/7*o**2 + 6/7*o.
2*(o - 1)**3/7
Let q(f) be the second derivative of -f**5/80 - f**4/48 + 5*f**3/24 - 3*f**2/8 + 94*f. Determine x so that q(x) = 0.
-3, 1
Let l(o) be the second derivative of 2*o + 0*o**3 + 0 + 0*o**2 + 1/84*o**4. Factor l(w).
w**2/7
Let m(c) be the first derivative of -14*c**5/5 + 12*c**4 - 20*c**3 + 16*c**2 - 6*c + 46. What is f in m(f) = 0?
3/7, 1
Let f(i) be the first derivative of 5*i**6/6 + 34*i**5 + 1265*i**4/4 - 1020*i**3 + 810*i**2 + 32. Determine r so that f(r) = 0.
-18, 0, 1
Let v = 333 + -326. Let m(s) be the third derivative of -2/5*s**6 + 0*s + 12*s**2 + 6/35*s**v - 1/3*s**4 + 0*s**3 + 0 - 11/15*s**5. Factor m(h).
4*h*(h - 2)*(3*h + 1)**2
Let j(x) be the third derivative of -2*x**7/105 + 47*x**6/15 - 2209*x**5/15 + x**2 + 175. Find n, given that j(n) = 0.
0, 47
Factor 4/5*g**2 - 6/5*g + 2/5*g**3 + 0.
2*g*(g - 1)*(g + 3)/5
Let b = -17/44 + 95/132. Solve -1/3 - 2/3*h - b*h**2 = 0 for h.
-1
Let t = -18 - -16. Let v be (3/t)/(3/(-30)). Factor -12*n**3 - v*n**2 - n - n + n - 2*n.
-3*n*(n + 1)*(4*n + 1)
Let i = -211/17 + 473/34. Factor 0*z + 1/2*z**4 - z**3 - i*z**2 + 0.
z**2*(z - 3)*(z + 1)/2
Let q(t) be the second derivative of t**5/10 + 14*t**4 + 784*t**3 + 21952*t**2 - t - 13. Let q(o) = 0. What is o?
-28
Let l(b) = b**2 - 13*b + 24. Let j be l(11). Let o be (j/(-6))/(2/(-4)). Find c, given that 7/3*c - 7/3*c**3 - o - c**2 + 5/3*c**4 = 0.
-1, 2/5, 1
Factor 6/5*t**2 - 2/5*t**3 + 0 + 8/5*t.
-2*t*(t - 4)*(t + 1)/5
Suppose -4*r - 68 = 3*t, -t = t - 4*r + 12. Let x = t + 16. Factor 0 + x*h - 2*h**2 - 25/2*h**4 - 10*h**3.
-h**2*(5*h + 2)**2/2
Let i = -618 - -4328/7. Let a be (-1)/(-7) + (-60)/(-21). Find x such that 0*x + 0 - 4/7*x**a + i*x**2 + 2/7*x**4 = 0.
0, 1
Let v = 1620 + -1617. Let z(f) be the first derivative of 3*f + 6*f**v + 3 + 6*f**2 + 3/5*f**5 + 3*f**4. Factor z(h).
3*(h + 1)**4
Let b(q) be the second derivative of q**5/20 - 5*q**4/8 + 2*q**3 + 15*q**2/2 + 18*q. Let t(k) be the first derivative of b(k). Solve t(g) = 0.
1, 4
Let i(j) = -3*j**4 + 3*j**2 - 2*j - 2. Let q be ((-12)/(-9))/(((-2)/3)/(-1)). Let g(z) = -12*z**4 + 12*z**2 - 9*z - 9. Let l(w) = q*g(w) - 9*i(w). Factor l(b).
3*b**2*(b - 1)*(b + 1)
Let x(i) be the second derivative of 0*i**5 + 1/90*i**6 + 0*i**2 + 3*i + 0 - 1/36*i**4 + 0*i**3. Determine c, given that x(c) = 0.
-1, 0, 1
Let u(q) = q**2 + 2*q. Let n be u(-3). Let y = 17 + n. Factor 276*w**4 - 585*w**3 + 108 - y*w**4 - 247*w**3 - 540*w + 1008*w**2.
4*(w - 1)*(4*w - 3)**3
Let x(j) be the second derivative of -j**4/84 - 31*j**3/7 + 187*j**2/14 + j - 19. Factor x(y).
-(y - 1)*(y + 187)/7
What is z in 0 + 2/7*z**3 + 56*z + 8*z**2 = 0?
-14, 0
Let b = -5765 - -853223/148. Let s = 607/740 - b. What is y in 13*y**4 - s + 10*y**5 - 28/5*y - 22/5*y**3 - 61/5*y**2 = 0?
-1, -1/2, -2/5, 1
Suppose 0 = y - n + 2, 2*n + 5 = -4*y + 21. Find h, given that 4 + 10*h - 4 - 3 - 1 - 10*h**3 + 4*h**y = 0.
-1, 2/5, 1
Suppose 5*j - 6*j + 9 = 0. Let v = 12 - j. Let l**v + 471*l**4 - 4*l**3 - 468*l**4 = 0. Calculate l.
0, 1
Let t(k) = -k + 12. Let p = 26 - 18. Let s be t(p). Let -3*q**s - 2*q**4 + 6*q**4 = 0. What is q?
0
Solve 0 - 2/15*f - 2/15*f**2 = 0.
-1, 0
Find j, given that 176/7*j - 34/7*j**3 - 54/7*j**2 + 6/7*j**4 - 96/7 + 2/7*j**5 = 0.
-4, 1, 3
Let i(f) be the third derivative of 0 + 1/30*f**6 + 1/12*f**4 - 4/105*f**7 + 0*f + 13*f**2 - 1/56*f**8 + 2/15*f**5 + 0*f**3. Find r such that i(r) = 0.
-1, -1/3, 0, 1
Find w such that 3/2*w**2 + 13/2*w - 15/2 - 1/2*w**3 = 0.
-3, 1, 5
Suppose 5*f - 70 = -2*f. Determine c, given that 4*c + 12 + 12*c - 15 - 5 + f*c**2 = 0.
-2, 2/5
Factor 3 - 13/2*a**2 + 23/2*a.
-(a - 2)*(13*a + 3)/2
Determine k so that 2/5*k**4 - 2*k - 20 + 66/5*k**2 - 22/5*k**3 = 0.
-1, 2, 5
Let b = 19694 - 19685. Suppose -6*o**3 - b*o**2 - 3/2*o**4 - 6*o - 3/2 = 0. Calculate o.
-1
Let h = 17498 - 17494. Let -3*n**2 - 3/5*n**h + 18/5 + 3*n - 3*n**3 = 0. What is n?
-3, -2, -1, 1
Let y(r) be the second derivative of 0 - 20*r - 7/72*r**3 - 1/24*r**4 + 5/48*r**5 - 7/180*r**6 + 1/12*r**2. Find j such that y(j) = 0.
-1/2, 2/7, 1
Let i(z) be the first derivative of z**5/5 + 2*z**4 + 17*z**3/3 + 5*z**2 - 3. Factor i(x).
x*(x + 1)*(x + 2)*(x + 5)
Let f(l) be the second derivative of -l**6/10 - 3*l**5/20 + 3*l**4/2 + 2*l**3 - 12*l**2 - 41*l. Factor f(t).
-3*(t - 2)*(t - 1)*(t + 2)**2
Suppose 13 - 19 = -2*j. Suppose j*b = -b. Solve 1/2*f**3 + b + 1/2*f + f**2 = 0.
-1, 0
Let h(y) be the first derivative of 1/2*y**4 - 25/7*y**2 - 8 - 8/7*y**3 - 12/7*y. Factor h(l).
2*(l - 3)*(l + 1)*(7*l + 2)/7
Let g(n) = -3*n + 54. Let x = 85 + -68. Let p be g(x). Factor -v**p + 1/4 + 1/4*v**4 - v + 3/2*v**2.
(v - 1)**4/4
Let f(k) be the second derivative of k**9/3024 - k**8/840 + k**7/840 + 3*k**3 + 3*k. Let r(y) be the second derivative of f(y). Suppose r(o) = 0. What is o?
0, 1
Let s(b) be the third derivative of 0*b - 1/4*b**5 + 0 + 10*b**2 + 0*b**3 + 1/8*b**4. Let s(g) = 0. What is g?
0, 1/5
Let g be (-2)/2 - ((-2 - -1) + -2). Suppose -9*v - 39 - 4*v**g + 3*v + 37 = 0. Calculate v.
-1, -1/2
Let h(j) be the second derivative of j**7/273 - j**6/65 + j**5/65 + 13*j. Factor h(s).
2*s**3*(s - 2)*(s - 1)/13
Let k(b) = -8*b**3 - 17*b**2 + 17*b + 8. Let d(z) = 2*z**3 + 4*z**2 - 4*z - 2. Let c be ((-3)/9)/(3/18). Let s(p) = c*k(p) - 9*d(p). Factor s(l).
-2*(l - 1)*(l + 1)**2
Let z = -345 - -350. Let k(d) be the second derivative of 1/27*d**3 + 1/9*d**2 + 0 + z*d - 1/54*d**4 - 1/90*d**5. Let k(t) = 0. What is t?
-1, 1
Let p(w) be the first derivative of -2/19*w - 20 - 1/19*w**2 + 1/38*w**4 + 2/57*w**3. Factor p(q).
2*(q - 1)*(q + 1)**2/19
Determine g, given that 400/3*g**2 + 64 - 28/3*g**3 - 784/3*g = 0.
2/7, 2, 12
Determine y so that 8/5 + 552/5*y**2 - 788/5*y**3 - 158/5*y - 126/5*y**5 + 512/5*y**4 = 0.
4/63, 1
Let l(w) be the second derivative of -w**8/20160 + w**6/720 + w**5/180 + w**4/3 - 13*w. Let j(b) be the third derivative of l(b). Factor j(p).
-(p - 2)*(p + 1)**2/3
Let x be 160/6*(-42)/(-8). Let i be 2*(-5)/x*-8. What is l in -16/7*l**2 - 12/7*l - i*l**3 + 0 = 0?
-3, -1, 0
Let n(y) be the third derivative of 9/1