
0, 1
Suppose 149 - 117 = 16*r. Factor -4/3 - 2/3*d**2 + r*d.
-2*(d - 2)*(d - 1)/3
Let z(l) be the first derivative of 2*l**6/15 + 2*l**5/25 - 2*l**4/5 - 4*l**3/15 + 2*l**2/5 + 2*l/5 + 15. Find o, given that z(o) = 0.
-1, -1/2, 1
Suppose -4*l**2 - 7/2 + 29/4*l + 1/4*l**3 = 0. What is l?
1, 14
Suppose 0 = 3*r - 2*g - 44, 0*g - 4 = -2*g. Factor 10*q**4 + 14*q - 32 + 56*q**3 + r*q + 96*q**2 + 2*q.
2*(q + 2)**3*(5*q - 2)
Let z(w) = w - 11. Let g be z(0). Let i(r) = -r - 7. Let y be i(g). Factor y*b**2 - 1 + 2*b**2 - 2*b**2 - 3*b**2.
(b - 1)*(b + 1)
Suppose 0*v - 3*v + 72 = 0. Let b be (-10)/(-4)*v/20. Suppose 0*s**3 - 4*s**5 + b*s**5 + 2*s**4 - s**3 = 0. Calculate s.
0, 1
Let c be ((-3)/2)/((-12)/(-40)). Let a = -2 - c. Determine t so that 2/13*t**2 - 2/13*t**a + 0*t + 0 = 0.
0, 1
Let j = -431/120 + 29/8. Let i(k) be the third derivative of 1/12*k**4 - 1/60*k**6 + 0*k + 0*k**3 + 1/105*k**7 + 0 - j*k**5 + 2*k**2. Factor i(d).
2*d*(d - 1)**2*(d + 1)
Factor 12/7*r**2 - 2/7*r**3 + 16/7 - 24/7*r.
-2*(r - 2)**3/7
Determine z so that 0 - z**2 + 5/4*z = 0.
0, 5/4
Suppose 3*d - 7 = 4*i, 3*d + 3*i + 4 = 5*d. Suppose -6 = -d*s + 24. Solve -4*l**3 - 2*l**4 + l**2 + l**4 + s*l**3 - 2*l**2 = 0 for l.
0, 1
Factor 2*a - 2*a**3 + 5*a**2 + 2 - 3*a**2 - 4*a**2.
-2*(a - 1)*(a + 1)**2
Let s(l) = l + 2. Let a(p) = -p - 5. Let z be a(-5). Let w be s(z). Factor -4/7 - 2/7*r**w + 6/7*r.
-2*(r - 2)*(r - 1)/7
Let l(f) be the second derivative of -f**9/13608 + f**7/1260 - f**6/810 + 4*f**3/3 + 4*f. Let h(z) be the second derivative of l(z). Factor h(j).
-2*j**2*(j - 1)**2*(j + 2)/9
Let r = 69 + -617/9. Factor -r - 2/3*z - 2/9*z**2.
-2*(z + 1)*(z + 2)/9
Let u(s) = s - 12. Let p be u(14). Let j(y) be the second derivative of 1/24*y**3 - 1/80*y**5 + 0*y**4 + 0 + y + 0*y**p. Factor j(h).
-h*(h - 1)*(h + 1)/4
Let j = 131 - 129. Let y(i) = i**3 + 2*i**2 - 4*i - 1. Let b be y(-3). Factor j*q**2 + 0 + b*q**3 + 1/2*q**4 + 0*q.
q**2*(q + 2)**2/2
Suppose -65*l + 64*l = 0. Factor l*i - 1/5*i**3 + 1/5*i**4 + 0 - 2/5*i**2.
i**2*(i - 2)*(i + 1)/5
Factor -1/2*s + 0 - 1/2*s**2 + 1/2*s**3 + 1/2*s**4.
s*(s - 1)*(s + 1)**2/2
Let d(l) be the first derivative of 1/4*l**4 - 4/3*l**3 - 2*l + 5/2*l**2 + 6. Find z such that d(z) = 0.
1, 2
Let n be 122/14 + 8/28. Solve 9*f**2 - 8*f - 20*f - n + 8*f - 4*f = 0 for f.
-1/3, 3
Let i(l) = 2*l**3 - 4. Let b(f) = f**2 - 1. Suppose 0 = 3*k - 15, -u - 5*k = -2*u - 26. Let w(m) = u*i(m) + 4*b(m). Suppose w(r) = 0. Calculate r.
0, 2
Suppose 5*x + 2 = -4*y - 20, -14 = 4*x + 2*y. Let i be (-4)/(11 - -1)*x. Factor 2/3*o**3 - i*o + 0 - 2/3*o**4 + 2/3*o**2.
-2*o*(o - 1)**2*(o + 1)/3
Let r(j) be the third derivative of -j**5/270 + j**4/54 + j**3/9 + 10*j**2. Factor r(p).
-2*(p - 3)*(p + 1)/9
Let a be (-21)/(-9) - (-4)/(-12). Factor 4*t**2 + 2*t**2 + 2*t - 2*t**2 - 5*t**a.
-t*(t - 2)
Suppose 24*r + 15 = 27*r. Let v(m) be the third derivative of 0*m + 0 + 0*m**3 + 2*m**2 - 7/15*m**7 + 1/3*m**4 + 4/5*m**r + 7/20*m**6. Solve v(c) = 0.
-2/7, 0, 1
Let j(u) be the second derivative of 1/48*u**4 + 0 - 1/8*u**3 + 2*u + 1/4*u**2. Factor j(h).
(h - 2)*(h - 1)/4
Let f(t) be the first derivative of 6/5*t + 2/15*t**3 - 1/10*t**4 - 2 + t**2. Suppose f(b) = 0. Calculate b.
-1, 3
Let v(p) be the second derivative of -p**6/180 + p**5/60 + p**4/72 - p**3/18 - 13*p. What is b in v(b) = 0?
-1, 0, 1, 2
Solve 2/17 + 2/17*o**2 + 4/17*o = 0 for o.
-1
Let t(r) = 3*r - 19. Let a be t(8). Let o(c) be the first derivative of 0*c**2 + 0*c**4 - 1 - 1/6*c**3 + 1/4*c + 1/20*c**a. Determine w so that o(w) = 0.
-1, 1
Suppose 0 = 3*b - 18*b + 60. Factor 8/7*r**2 - 16/7*r**3 + 10/7*r**b + 0 - 2/7*r**5 + 0*r.
-2*r**2*(r - 2)**2*(r - 1)/7
Let i be ((-1)/2)/(5/(-10)). Let v = i - 5/7. Factor 2/7*z**5 - v*z + 0 + 4/7*z**2 - 4/7*z**4 + 0*z**3.
2*z*(z - 1)**3*(z + 1)/7
Let v be 24/(-56) - (-17)/7. Solve -3 - 2 - 2*m**2 + 4 + m + 4*m**v = 0.
-1, 1/2
Let b = -15 + 20. Factor -i**3 - 2*i**5 - 2*i**b - 4*i**2 + 4*i**4 + 5*i**3.
-4*i**2*(i - 1)**2*(i + 1)
Let k = -1/101 - -314/1111. Let u(c) be the first derivative of 4 - 1/22*c**4 - k*c**2 + 2/11*c + 2/11*c**3. Factor u(n).
-2*(n - 1)**3/11
Let o(d) be the third derivative of d**7/45 + 19*d**6/180 + d**5/6 + d**4/36 - 2*d**3/9 + 33*d**2. Factor o(v).
2*(v + 1)**3*(7*v - 2)/3
Let z(u) = -850*u**2 + 385*u - 45. Let k(h) = 851*h**2 - 384*h + 45. Let c(g) = 5*k(g) + 6*z(g). Determine y so that c(y) = 0.
3/13
Let o(v) be the first derivative of v**6/30 + v**5/25 - 3*v**4/20 - v**3/15 + v**2/5 + 53. What is c in o(c) = 0?
-2, -1, 0, 1
Let y(i) be the first derivative of i**5/10 + i**4/4 - i**3/2 - i**2 + 2*i + 3. Suppose y(j) = 0. Calculate j.
-2, 1
Suppose 3*o + 3*c = 3, -o = -2*o - 5*c - 19. Factor 3*l**4 + l - o*l**2 + 3*l - l**4.
2*l*(l - 1)**2*(l + 2)
Let s(t) be the second derivative of -t**5/10 - 13*t**4/2 - 169*t**3 - 2197*t**2 + 70*t + 2. Factor s(c).
-2*(c + 13)**3
Suppose -3*j = 2*j - 50. Suppose 4*z + j = -3*x - 7, -2*z - 11 = -x. Factor -3*y + y**2 + x + 0*y + y.
(y - 1)**2
Let o(b) = b**2 + b - 3. Suppose 0 = 3*i - 2*h + 9, 2*i + 4*h - 9 = 5*i. Let a be o(i). Find g such that -a*g**3 + 4 + 4*g**3 - g**2 - g - 3 = 0.
-1, 1
Let k = 7 - 2. Let f(o) be the second derivative of 0 + 0*o**3 + 0*o**k - 1/15*o**4 - 3*o + 1/75*o**6 + 1/5*o**2. Factor f(v).
2*(v - 1)**2*(v + 1)**2/5
Let r be (-12)/8 - 2/(-4). Let j = r - -8. What is g in -4*g**2 + 2 - 16*g**3 + 2*g**4 + j*g + 2*g**3 - g**5 + 8*g**5 = 0?
-1, -2/7, 1
Let s(z) = z**3 - 3*z**2 - 3*z - 1. Let p(k) = k**3 - 7*k**2 + 7*k - 2. Let t be p(6). Let m be s(t). Determine c so that 0*c + 0 - 2/5*c**2 - 2/5*c**m = 0.
-1, 0
Let f be (-5)/(-3) - (-10)/(-15). Let m be 0 - 2 - (5 + -10). Factor -2*a**2 - 9 + m*a + f + 5*a.
-2*(a - 2)**2
Let z(w) be the second derivative of 0 - 1/15*w**3 + 4*w + 2/25*w**5 + 0*w**2 + 1/30*w**6 + 1/60*w**4. Factor z(q).
q*(q + 1)**2*(5*q - 2)/5
Let u be 2/(3*10/285). Let x = 23 - u. Factor -8/5*j**3 + 4/5*j**2 + j**x + 0 - 1/5*j**5 + 0*j.
-j**2*(j - 2)**2*(j - 1)/5
Determine i so that -14/9*i**4 + 0 - 4/9*i - 2/3*i**3 + 10/9*i**5 + 14/9*i**2 = 0.
-1, 0, 2/5, 1
Suppose 4*k - k = 0. Let t(m) be the first derivative of 1/2*m**2 - 2 + k*m + 1/3*m**3. Factor t(n).
n*(n + 1)
Let h be (319/22 - 13)/(2/4). Find m such that -8/5*m - 2/5*m**4 - 12/5*m**2 - 2/5 - 8/5*m**h = 0.
-1
Let 2*l**3 - 52/5*l + 16/5 + 26/5*l**2 = 0. What is l?
-4, 2/5, 1
Let o(g) = -3*g - g**4 - 3*g - 6*g**3 - 4*g**4. Let t(b) = 9*b**4 + 11*b**3 + 11*b. Let y(f) = -11*o(f) - 6*t(f). Factor y(l).
l**4
Let z(q) be the first derivative of -2/3*q**3 - 2 + 1/4*q**4 + 1/20*q**5 + 0*q**2 + 1/240*q**6 + 0*q. Let h(i) be the third derivative of z(i). Factor h(u).
3*(u + 2)**2/2
Let b = -59 - -62. Let o(l) be the third derivative of 0*l**5 + 0*l + 3*l**2 + 0 - 1/12*l**4 + 0*l**b + 1/60*l**6. Factor o(r).
2*r*(r - 1)*(r + 1)
Solve 1/3*d**2 - 5/3*d + 1/3*d**3 + 1 = 0.
-3, 1
Let j(l) be the third derivative of 1/70*l**7 + 1/8*l**4 + 0*l**3 + 0 - 1/20*l**5 - 1/40*l**6 - 3*l**2 + 0*l. Find d, given that j(d) = 0.
-1, 0, 1
Let a(d) = d**2 + 26*d - 54. Let r be a(-28). Factor 39/5*o**3 - 3/5*o - 27/5*o**r + 6/5 - 3*o**4.
-3*(o - 1)**3*(5*o + 2)/5
Determine q so that 0 + 3*q + 0*q - q**3 - 2 + 0*q**3 = 0.
-2, 1
Let x(j) be the second derivative of j**4/24 + j**3/4 + j**2/2 - j. Factor x(u).
(u + 1)*(u + 2)/2
Let r(v) be the first derivative of 0*v**3 + 2/5*v**5 + 0*v - 7 + 0*v**2 - 1/2*v**4. Factor r(f).
2*f**3*(f - 1)
Let p(c) be the first derivative of 2*c + 1 - c**4 + 0*c**2 + 9/10*c**5 + 1/3*c**3. Let d(n) be the first derivative of p(n). Determine k so that d(k) = 0.
0, 1/3
Let p = -2/157 + -2192/471. Let q = p + 5. Solve q*d**3 - 1/3*d + 1/3 - 1/3*d**2 = 0 for d.
-1, 1
Suppose 12 + 6 = 9*b. Let l(t) be the third derivative of 1/105*t**7 + 0*t**4 + 0*t**3 - b*t**2 + 1/30*t**5 + 0*t + 1/30*t**6 + 0. Let l(x) = 0. What is x?
-1, 0
Let x be ((-6)/(-21))/((-22)/(-92)). Let r = x + -10/11. Factor 0*m + 0*m**3 + 4/7*m**2 - r*m**4 - 2/7.
-2*(m - 1)**2*(m + 1)**2/7
Let n(t) be the first derivative of -4*t**3/3 - 16*t**2 - 64*t - 15. Factor n(o).
-4*(o + 4)**2
Let b be (-53)/(-5)*(-4)/1. Let r = -42 - b. What is y in 0*y + 0 - r*y**4 + 2/5*y**2 - 2/5*y**3 + 2/5*y**5 = 0?
-1, 0, 1
Let v(y) be the first derivative of -13/3*y**3 + 6*y**2 + 3/2*y