r l(g).
-(g + 2)**4/2
Let q = 8 + 0. Let x be (-12)/q*1/(-3). Factor 0 - x*o**2 + o.
-o*(o - 2)/2
Suppose -10*k**3 + 64*k + 1/2*k**5 + k**4 - 64 - 4*k**2 = 0. What is k?
-4, 2
Let b = -9769 + 87925/9. What is x in 0*x + 14/9*x**3 + 0 - b*x**2 = 0?
0, 2/7
Let x(r) be the third derivative of -r**6/120 - r**5/4 - 25*r**4/8 + 7*r**3/6 + 13*r**2. Let f(q) be the first derivative of x(q). Factor f(m).
-3*(m + 5)**2
Let i(d) be the third derivative of -d**6/10 + 3*d**5/20 + 9*d**4/8 + d**3 - 224*d**2. Factor i(g).
-3*(g - 2)*(g + 1)*(4*g + 1)
Suppose -30 = 7*c - 2*c. Let y be (-36)/(-8)*(-4)/c. Solve -i**2 - i**2 + 3 - 4 + y*i**2 = 0.
-1, 1
Suppose 4*n = 4*q - n - 17, 5*n - 10 = -5*q. Suppose q*z + 7 + 1 = 4*h, -4 = -2*h - 2*z. Factor 3/4*p + 0 + 1/4*p**h.
p*(p + 3)/4
Factor 0*q**3 + 1/3*q**5 + q**4 + 0 - 4/3*q**2 + 0*q.
q**2*(q - 1)*(q + 2)**2/3
Suppose 0 = 17*j - 40 + 6. Let i(f) be the first derivative of f**3 - 2 - 3/4*f**4 + 0*f + 3*f**j. Let i(n) = 0. Calculate n.
-1, 0, 2
Let w(c) be the third derivative of -c**7/525 + 7*c**6/50 - 18*c**5/5 + 45*c**4/2 + 675*c**3 + c**2 + 271. Find i, given that w(i) = 0.
-3, 15
Let g(q) be the second derivative of q**6/180 + q**5/120 - q**4/18 - q**3/9 + 3*q + 28. Determine x so that g(x) = 0.
-2, -1, 0, 2
Let k(v) be the second derivative of -v**6/90 - v**5/12 - 7*v**4/36 - v**3/6 + 146*v. Factor k(s).
-s*(s + 1)**2*(s + 3)/3
Let k(z) be the second derivative of 0*z**3 - 2/25*z**5 - 1/105*z**7 + 0*z**2 - 7*z - 4/75*z**6 + 0*z**4 + 0. Let k(d) = 0. Calculate d.
-2, 0
Let l(s) = -5*s + 89. Let y(i) = -60*i + 1070. Let x(v) = 25*l(v) - 2*y(v). Let m be x(17). Suppose 0*p**2 + m*p - 2/3*p**4 + 2/3*p**3 + 0 = 0. What is p?
0, 1
Let v = -5 + -5. Let b = -8 - v. Solve -6 - 6*z**b + 6*z + 3 + 1 - 11*z**3 + 13*z**3 = 0 for z.
1
Let -2288/5*a**3 - 10*a**5 + 0 - 1536/5*a**2 - 288/5*a - 128*a**4 = 0. What is a?
-6, -2/5, 0
Let s be 10/(-13 - (-1 - 15)). Determine n so that 20/3*n**2 + 0 + 16/3*n + s*n**4 - 46/3*n**3 = 0.
-2/5, 0, 1, 4
Let d(b) be the first derivative of -b**7/1680 + b**6/720 - b**3 + 10. Let t(m) be the third derivative of d(m). Factor t(g).
-g**2*(g - 1)/2
Factor -8973*x**2 - x**3 - 2*x**4 + 8969*x**2 + 4*x**4 + 3*x**3.
2*x**2*(x - 1)*(x + 2)
Let f(l) be the first derivative of -12 + 4/5*l**5 + 4*l**2 - 2*l**4 - 4*l + 0*l**3. Determine d so that f(d) = 0.
-1, 1
Let h(y) be the second derivative of -y**5/4 - 20*y**4 - 640*y**3 - 10240*y**2 + 8*y - 4. Solve h(w) = 0.
-16
Let u(c) be the first derivative of -3*c**2 - 1/8*c**4 + 0*c - 1 + 1/120*c**5 + 3/4*c**3. Let w(t) be the second derivative of u(t). Factor w(h).
(h - 3)**2/2
Let v be 5/(-4) + (2 - (-104)/32). Let i(z) be the first derivative of 5/4*z**2 - v + 5/4*z + 5/12*z**3. Factor i(m).
5*(m + 1)**2/4
Let a = 18 + -10. Suppose -19*x**3 - 11*x**3 - a + 28*x + 20*x**2 + 14*x**3 = 0. Calculate x.
-1, 1/4, 2
Let a(x) be the third derivative of x**6/120 - x**5/60 + x**4/12 - x**3/3 + 15*x**2. Let w be a(1). Factor 1/4*r**3 + w*r**2 + 1/2 - 3/4*r.
(r - 1)**2*(r + 2)/4
Let s = 6129/10 + -1225/2. Factor 2/5 - 4/5*b + s*b**2.
2*(b - 1)**2/5
Suppose -3*y + 69 = -0*y. Let m be ((-8)/(3 + -1))/(-2). Factor -25*h**2 - 4*h + 4*h**3 + 0*h**4 + y*h**m - 3*h**4 + 5*h**4.
2*h*(h - 1)*(h + 1)*(h + 2)
Let j(c) = 11*c - 19. Let t be j(2). Let l(d) be the second derivative of -5/168*d**7 + 0*d**5 + 0*d**t + 0*d**2 - 1/60*d**6 + 0 + 0*d**4 + 2*d. Factor l(b).
-b**4*(5*b + 2)/4
Let r(o) be the second derivative of -3*o**5/20 - 5*o**4/4 + 13*o**3/2 - 21*o**2/2 + 20*o - 2. Find c, given that r(c) = 0.
-7, 1
Let v be 237/(-2)*88/(-165). Let m = 352/5 - v. Find x, given that -4/5*x**2 - m - 24/5*x = 0.
-3
What is a in 66/7*a + 15/7*a**2 - 3/7*a**3 + 48/7 = 0?
-2, -1, 8
Let -24/5*t - 202/15*t**2 + 136/15 - 2/15*t**5 + 22/5*t**4 + 74/15*t**3 = 0. What is t?
-2, -1, 1, 34
Let k(z) be the first derivative of 0*z**2 + 0*z + 4/27*z**3 + 16/45*z**5 - 7/18*z**4 - 12 - 1/9*z**6. Factor k(f).
-2*f**2*(f - 1)**2*(3*f - 2)/9
Let g(i) be the second derivative of i**5/50 - i**4/30 - 2*i**3/5 - 2*i - 8. Solve g(a) = 0 for a.
-2, 0, 3
Factor -2*o**2 + 271*o - 305*o - 4 - 116.
-2*(o + 5)*(o + 12)
Let i be 4*(-4 + 95/20). Let x(p) be the first derivative of 1/12*p**6 + 1/2*p**2 + 0*p + 7/6*p**i - 4 + 1/2*p**5 + 9/8*p**4. Determine h, given that x(h) = 0.
-2, -1, 0
Let t(y) be the second derivative of -7*y**5/170 - 5*y**4/51 - y**3/17 - 162*y. Suppose t(d) = 0. Calculate d.
-1, -3/7, 0
Let s(z) = -z**2 - 13*z + 11. Let t be s(-14). Let n be -3*(t - 2/(-6)). Solve -n + 7*o**2 - 4*o**4 - 56*o**2 + 13*o**2 - 13*o**3 - 7*o**3 - 28*o = 0 for o.
-2, -1
Let q = 21 - 18. Let z be (-22)/(-6) - (-16)/(-24). Determine t so that 2*t + t**4 + t**4 - 4*t**q - t + t**z = 0.
-1/2, 0, 1
Factor 0 - 1/3*r**4 + 0*r + 2/3*r**2 + 1/3*r**3.
-r**2*(r - 2)*(r + 1)/3
Let q = 1124/7 + -6401/42. Let k = q + -35/12. Factor -27/4*x**2 - 15/4*x**3 - 3/4*x**4 - k*x - 3/2.
-3*(x + 1)**3*(x + 2)/4
Let w(g) be the second derivative of -54/7*g**2 - 7*g + 24/7*g**3 + 0 + 3/140*g**5 - 13/28*g**4. Suppose w(a) = 0. What is a?
1, 6
Let u(k) be the second derivative of -k**6/45 - k**5/6 - k**4/2 - 7*k**3/9 - 2*k**2/3 - 2*k - 3. Factor u(o).
-2*(o + 1)**3*(o + 2)/3
Let t = -602 - -1087. Let 12 + 4 - 125*n**5 + 475*n**4 - 160*n + t*n**2 - 695*n**3 + 4 = 0. Calculate n.
2/5, 1
Let j = -211099/144 - -1466. Let g(b) be the third derivative of -j*b**4 + 1/180*b**5 + 1/12*b**3 + 3*b**2 + 0 + 0*b. Solve g(d) = 0 for d.
1, 3/2
Let h be 8/12*9 + -4. Let t**3 - 2*t**4 - 2*t**h + 8*t**2 - 4*t - t**3 = 0. Calculate t.
-2, 0, 1
Let x(v) = -5*v**5 + 11*v**4 - 19*v**3 + 16*v**2 + 3*v. Let o(g) = -24*g**5 + 56*g**4 - 96*g**3 + 78*g**2 + 14*g. Let k(r) = 6*o(r) - 28*x(r). Factor k(l).
-4*l**2*(l - 5)*(l - 1)**2
Let w(p) be the first derivative of p**5/10 - 3*p**4/8 - 2*p**3/3 + 3*p**2 + 275. Factor w(l).
l*(l - 3)*(l - 2)*(l + 2)/2
Let m(s) = s**3 + s**2 + 1. Let v(b) be the first derivative of b**4 + 14*b**3/3 - 5*b**2 + 10*b - 5. Let f(r) = 6*m(r) - v(r). Factor f(c).
2*(c - 2)*(c - 1)**2
Let -1/3*w**2 - 49/3 + 14/3*w = 0. Calculate w.
7
Let g be (-150)/(-20) - 2/(-4). Suppose -g*w + 30 = 14. Suppose 2/5*q**4 - 4/5*q**3 - 6/5*q**w + 8/5 + 8/5*q = 0. Calculate q.
-1, 2
Factor 60 - 5*p**2 + 71 - 15*p - 176 + 65.
-5*(p - 1)*(p + 4)
Let h = -26 + 26. Factor 5*x**3 + h*x**2 + 10*x**3 + 6*x**2.
3*x**2*(5*x + 2)
Let j be 2/(-6)*(0 + -2 + -1). Find h, given that 7 - 9*h**3 - 6 - j + 6*h - 3*h**2 + 3*h**5 + 3*h**4 = 0.
-2, -1, 0, 1
Let a be -3 + 48/15 + (-207)/(-15). Let f = -11 + a. Determine j so that 14/17*j**f - 12/17*j**4 - 8/17*j + 26/17*j**2 - 8/17 = 0.
-1, -1/2, 2/3, 2
Let o be 5/(-2)*(3 + 13). Let m = -38 - o. Factor 0 + 0*r**m - 4/3*r**4 + 0*r - 2/3*r**3.
-2*r**3*(2*r + 1)/3
Let s = -1772 + 3337/2. Let b = -103 - s. Factor 1/2*m**2 - b*m - 1/2*m**4 + 1/2*m**3 + 0.
-m*(m - 1)**2*(m + 1)/2
Let j(h) = -2*h**3 + 2*h**2 + 10*h - 10. Let n(i) = i**3 + i**2 + i - 3. Let m(w) = j(w) - 4*n(w). Let m(s) = 0. What is s?
-1, -1/3, 1
Let o(b) = 6*b**5 + b**4 + b**3 + 3. Let l(v) = -5*v**5 - 2*v**4 - v**3 - 2. Let x = 1 - -6. Let d = x + -5. Let r(s) = d*o(s) + 3*l(s). Factor r(i).
-i**3*(i + 1)*(3*i + 1)
Let j(i) be the second derivative of -i**5/80 + 79*i**4/48 + 64*i - 3. Solve j(k) = 0.
0, 79
Let m be 1/(2/4*5). Suppose -63*l - 39 = -228. Let -2/5*c**l - 4/5*c**2 - m*c + 0 = 0. Calculate c.
-1, 0
Let u(c) be the second derivative of -21*c - 1/12*c**2 + 1/252*c**7 + 1/60*c**5 - 1/12*c**3 - 1/36*c**4 + 1/60*c**6 + 0. Factor u(f).
(f - 1)*(f + 1)**4/6
Let k(i) be the third derivative of -2*i**7/735 - i**6/21 - 12*i**5/35 - 9*i**4/7 - 18*i**3/7 - 2*i**2 + 121*i. Factor k(u).
-4*(u + 1)*(u + 3)**3/7
Let q(j) be the second derivative of j**5/15 - j**4/9 - 34*j**3/9 - 10*j**2 - 411*j. Factor q(c).
4*(c - 5)*(c + 1)*(c + 3)/3
Determine g so that -2/11*g**3 - 4/11*g + 6/11*g**2 + 0 = 0.
0, 1, 2
Let m = -87 - -89. Suppose 3*d = -2*h + 21, m*h - 4*h + 1 = -d. Determine g so that 4/5*g + 2*g**h - 14/5*g**2 + 0 = 0.
0, 2/5, 1
Factor 2/3*f**3 - 1/3*f**4 + 1/3*f**2 - 2/3*f + 0.
-f*(f - 2)*(f - 1)*(f + 1)/3
Let q(a) be the second derivative of 0*a**4 + 0*a**3 + 9*a + 0 - 2/21*a**7 + 1/6*a**6 - 1/20*a**5 + 0*a**2. Factor q(b).
-b**3*(b - 1)*(4*b - 1)
Let c be 1 - (-13 + 