 - 12/7*x**2 - 8/7*x**3 - k*x - 2/7.
-2*(x + 1)**4/7
Factor 1/3*d**2 - 7/3 + 2*d.
(d - 1)*(d + 7)/3
Let h(g) = -g**3 - g. Let y(b) = -196*b**4 + 78*b**3 + 96*b**2 + 10*b. Let w(u) = -6*h(u) + y(u). Let w(j) = 0. Calculate j.
-2/7, 0, 1
Suppose r - 100 = -3*r. Suppose -u + f = 2*u - 1, -5*u = 3*f - r. Find t, given that 6 + 18*t - 15/2*t**3 + 9/2*t**u = 0.
-1, -2/5, 2
Solve -x**2 + 2*x - 3*x - 6*x = 0.
-7, 0
Let s(t) = -t**3 + 6*t**2 - 6*t - 4. Let u be s(5). Let h be u/72*2/(-1). Factor 0*c**3 - 1/4*c - 1/2*c**2 + h*c**5 + 0 + 1/2*c**4.
c*(c - 1)*(c + 1)**3/4
Factor 2/5*u**3 - 2/5*u + 2/5*u**4 - 2/5*u**2 + 0.
2*u*(u - 1)*(u + 1)**2/5
Let t = -41 - -59. Suppose 4*r + 3*b = 8*b + t, 3*b = -6. Factor x**4 - 7*x**4 + 16*x**3 + 2 - 9*x**2 - 3*x**r.
-2*(x - 1)**3*(3*x + 1)
Let i = 56 + -28. Suppose 5*s = -3*x + i, -x + 23 = 5*s - 3*x. Let g**s + 1/2*g + 0 - 1/2*g**4 + 1/2*g**2 - 3/2*g**3 = 0. Calculate g.
-1, -1/2, 0, 1
Let a(n) be the third derivative of n**5/72 + 5*n**4/36 + 5*n**3/9 + 57*n**2. Solve a(g) = 0.
-2
Let b = -4 + 4. Suppose 2*h = -b*h + 4. Find o, given that 0*o + 4*o - 3*o - 3*o**3 + h*o**3 = 0.
-1, 0, 1
Suppose 2/9*m + 2/9*m**3 - 4/9*m**2 + 0 = 0. What is m?
0, 1
Suppose 0 = 4*k + 7 + 9. Let p = 4 + k. Factor p*d**2 + 2/9*d**3 - 2/9*d + 0.
2*d*(d - 1)*(d + 1)/9
Let r = -152 - -764/5. Factor 1/5*m**2 - r*m**3 + 0 + 3/5*m**4 + 0*m.
m**2*(m - 1)*(3*m - 1)/5
Let l(f) be the first derivative of -2*f**3/45 + 2*f**2/15 - 2*f/15 - 1. Factor l(r).
-2*(r - 1)**2/15
Let k(z) be the third derivative of 0 - 1/6*z**3 + 0*z - 1/120*z**6 + 2*z**2 - 1/8*z**4 - 1/20*z**5. Factor k(l).
-(l + 1)**3
Let d(i) be the second derivative of -i**7/4620 + i**6/1980 - i**3 + 7*i. Let h(t) be the second derivative of d(t). Let h(m) = 0. What is m?
0, 1
Let 0*w**2 + 3*w - 2 - 2*w**2 + w**2 = 0. What is w?
1, 2
Let i(x) = -5*x**2 + 4*x + 1. Let h(j) = -j**2 + j. Let l(q) = 6*h(q) - i(q). Let l(f) = 0. What is f?
1
Let f(b) be the second derivative of 1/30*b**5 + 0*b**2 + 0*b**3 - 3*b + 1/18*b**4 + 0. Factor f(m).
2*m**2*(m + 1)/3
Let x be 4/(-6) - (-44)/12. Let r = -1 + x. Solve 6*d + 2 - 2*d**5 - 6*d**4 + 0*d**3 - 4*d**3 + 4*d**2 + 0*d**r = 0 for d.
-1, 1
Let v(h) be the second derivative of -h**5/20 + h**4/12 - 5*h. Suppose v(b) = 0. What is b?
0, 1
Solve -8*z**2 - 8 - z**2 + 37*z**3 - 27*z**2 - 28*z - 57*z**3 - 4*z**4 = 0.
-2, -1
Let o(y) be the first derivative of y**4/24 + y**3/18 + 10. Factor o(j).
j**2*(j + 1)/6
Suppose 2*s + 3*s - 15 = 0. Solve j**s - 1/4*j**4 - 3/4*j**2 + 1 - j = 0 for j.
-1, 1, 2
Let u(w) be the third derivative of w**9/30240 - w**8/10080 - w**7/2520 + w**6/360 + w**5/60 + 2*w**2. Let s(n) be the third derivative of u(n). Factor s(h).
2*(h - 1)**2*(h + 1)
Suppose 0 = 5*k + 3*m - 19, -5*m = 2*k + 2*k - 23. Factor t + 2*t - 6 - t**2 - t**k + 5*t**2.
3*(t - 1)*(t + 2)
Let w(o) = -o**3 - 10*o**2 - 23*o - 228. Let y be w(-10). Find l such that 4/15 - 28/15*l**y + 2/5*l = 0.
-2/7, 1/2
Factor 2/7*w**3 + 0 + 2/7*w**4 - 2/7*w - 2/7*w**2.
2*w*(w - 1)*(w + 1)**2/7
Let i = -4 + 7. Suppose u = -0*u + i. Suppose -4*l**3 + u*l + l**3 + 2*l**4 - l**2 - 1 + 0*l**4 = 0. What is l?
-1, 1/2, 1
Let j = -72046/217 - -332. Let i = 416/1953 - j. What is z in 2/9*z**3 + i*z**5 + 4/9*z**4 + 0 + 0*z + 0*z**2 = 0?
-1, 0
Let h(y) be the first derivative of 1/2*y**6 - 4*y - 7 - 8*y**2 - 7*y**3 + y**5 - 7/4*y**4. Factor h(u).
(u - 2)*(u + 1)**3*(3*u + 2)
Let w(h) = 8*h**2 + 11*h + 5. Let s(d) = 7*d**2 + 10*d + 4. Let u(f) = -5*s(f) + 4*w(f). Solve u(b) = 0.
-2, 0
Let l = -52751 + 9969887/189. Let t = 8/27 - l. Suppose 0 + 2*h**2 + t*h = 0. Calculate h.
-2/7, 0
Let p(s) be the second derivative of 2*s**6/75 - s**5/25 - 2*s**4/15 - 13*s. Find r such that p(r) = 0.
-1, 0, 2
Suppose -2*x - 5*g - 2 = 0, 3*x + 11 - 3 = -5*g. Let j be ((-35)/(-21))/((-5)/x). Suppose 3/4*s - 1/4 + 1/4*s**3 - 3/4*s**j = 0. What is s?
1
Let j(z) be the first derivative of -z**6/120 + z**5/15 - z**4/6 + 3*z**2/2 - 1. Let d(u) be the second derivative of j(u). Factor d(m).
-m*(m - 2)**2
Let n(q) be the third derivative of -q**6/420 + q**5/70 - q**4/28 + q**3/21 - 26*q**2. Factor n(y).
-2*(y - 1)**3/7
Let x be (-3)/1*1/(-1). Solve -c**3 + x*c**3 - 2*c**5 + 0*c**3 = 0 for c.
-1, 0, 1
Let o be (-16 + 0)/4 - -4. Factor 4/3*l**4 + 1/3*l**2 + 4/3*l**3 + o*l + 0.
l**2*(2*l + 1)**2/3
Let m be -2 + 183/45 - 40/100. Factor 2/3 - 7/3*q**2 + m*q.
-(q - 1)*(7*q + 2)/3
Factor -3*s**2 - 8*s**4 + 0*s + 9*s**4 - 2*s.
s*(s - 2)*(s + 1)**2
Suppose -5*s + 18 = s. Let d(q) be the second derivative of 1/3*q**4 + 0*q**2 + 0 - 1/10*q**5 + s*q - 1/3*q**3. Solve d(j) = 0 for j.
0, 1
Let v be 5 - ((-18)/3 - -9). Solve 0*n + 1/6*n**v - 1/6 = 0 for n.
-1, 1
Factor 24*t + 0 + 36*t**3 + 3/2*t**5 - 12*t**4 - 48*t**2.
3*t*(t - 2)**4/2
Let l(c) be the second derivative of -c**4/32 + c**3/8 + 9*c**2/16 - 17*c. Factor l(h).
-3*(h - 3)*(h + 1)/8
Let z(m) be the third derivative of -1/32*m**4 + 1/40*m**5 - 1/280*m**7 + 0 - 1/8*m**3 + 5*m**2 - 1/448*m**8 + 1/80*m**6 + 0*m. Factor z(t).
-3*(t - 1)**2*(t + 1)**3/4
Let l(k) be the first derivative of k**5/35 - k**4/28 - 9. Determine a, given that l(a) = 0.
0, 1
Factor -9 + 6*v**2 - 3*v**2 - 8*v + 13.
(v - 2)*(3*v - 2)
Let f be (-1 + 1)*14/28. Let s(p) be the third derivative of -4*p**2 + 1/12*p**4 - 1/9*p**3 + 0 + f*p + 7/360*p**5. Let s(q) = 0. What is q?
-2, 2/7
Let r(c) = -c**2 - c. Let w(m) = 3*m**2 + 6*m + 12. Let b(u) = -6*r(u) - w(u). Factor b(z).
3*(z - 2)*(z + 2)
Let q(x) = 5*x - 1. Let y = -2 + 3. Let o be q(y). Factor o*u**4 - 4*u**3 + 2*u**3 - 2*u**4.
2*u**3*(u - 1)
Let k(n) be the third derivative of 1/30*n**5 + 0*n + 0 + 4/3*n**3 + n**2 + 1/3*n**4. Find r such that k(r) = 0.
-2
Suppose 155 = 4*z - 105. Let n be (-4)/(-10) - z/(-25). Factor 2/7*q**4 + 0*q**2 + 2/7*q**n + 0*q + 0 - 4/7*q**5.
-2*q**3*(q - 1)*(2*q + 1)/7
Let g(z) = 2*z**3 - 2*z**2 - 3*z + 3. Let w be g(2). Find o such that 56*o**3 + 3*o**4 + 36*o - 11*o**2 + 8 + 75*o**2 - o**w + 5*o**5 + 21*o**4 = 0.
-2, -1
Suppose -12*m**3 - 15*m - 3*m**4 + 9*m**3 - 2*m**4 + 18*m**3 + 5*m**2 = 0. Calculate m.
-1, 0, 1, 3
Suppose -10 = -4*b - 2. Factor 20*i - 7*i**2 - 14*i**b - 4*i**2 - 2 - 2.
-(5*i - 2)**2
Let w be 2*1 + -6 + 6. Let r = w - -2. Let -4*g**2 + 8/3*g + 8/3*g**3 - 2/3*g**r - 2/3 = 0. Calculate g.
1
Let o(d) = -d**2 - d. Let m(f) = -8*f**2 + 8*f - 20. Let a(z) = -m(z) + 6*o(z). Solve a(r) = 0.
2, 5
Let a(r) = -5*r**3 + 11*r**2 - 11*r - 3. Let z(v) = -6*v**3 + 12*v**2 - 12*v - 4. Let j(q) = -4*a(q) + 3*z(q). Factor j(h).
2*h*(h - 2)**2
Let x(c) be the third derivative of -1/84*c**4 + c**2 - 1/210*c**5 + 0*c + 0 + 0*c**3. Factor x(h).
-2*h*(h + 1)/7
Let h = 599736/6475 + -48/925. Factor 12/7*p**2 - 16/7*p + h*p**5 + 2/7 + 216/7*p**3 - 702/7*p**4.
2*(3*p - 1)**4*(4*p + 1)/7
Let t be (4 - 1105/9) + 3. Let n = t - -116. Let -2/9*i + 2/9*i**4 + 2/9*i**3 + 0 - n*i**2 = 0. What is i?
-1, 0, 1
Let o(s) = 2*s**5 - 30*s**4 + 32*s**3 + 30*s**2 - 17. Let v(a) = a**5 - 10*a**4 + 11*a**3 + 10*a**2 - 6. Let p(q) = -6*o(q) + 17*v(q). Factor p(y).
5*y**2*(y - 1)*(y + 1)*(y + 2)
Let n(i) be the first derivative of 4*i**5/5 - 8*i**3 + 16*i**2 - 12*i + 13. Factor n(p).
4*(p - 1)**3*(p + 3)
Let n = -12 + 19. Let a = n - 5. Factor 3*b**a - 2*b**2 - 2*b**2.
-b**2
Suppose -z = -6*z + 20. Let f(n) be the second derivative of 1/8*n**2 - 1/16*n**z + 0 - 1/12*n**3 + 3*n. Factor f(j).
-(j + 1)*(3*j - 1)/4
Let y be (-2)/4*2*0. Factor y*g**5 - 2*g**5 + g**3 + g**3 + 0*g**5.
-2*g**3*(g - 1)*(g + 1)
Let x(v) = -v**2 - 19*v + 22. Suppose 0 = 2*s - 4 + 44. Let c be x(s). Suppose 0 - 135/2*o**3 + 375/4*o**5 - 6*o + 39*o**c - 75/4*o**4 = 0. What is o?
-1, 0, 2/5
Let h be ((-6)/4)/((-2)/4). Let u(r) be the first derivative of -1/6*r**2 + 1/12*r**4 - 1/3*r + 1/9*r**h - 3. Suppose u(n) = 0. Calculate n.
-1, 1
Let c be 5/(-3)*(1/(-5) + 0). Let p(s) be the first derivative of 4/9*s + 1 + 1/6*s**4 - c*s**2 - 4/27*s**3. Determine q, given that p(q) = 0.
-1, 2/3, 1
Suppose -3*i = -0*d - 5*d - 15, 4*i - 12 = 4*d. Let z(u) be the second derivative of 0*u**2 + 1/60*u**4 - u + i - 1/15*u**3. Solve z(n) = 0.
0, 2
Let u be (-7)/14*2/(-1). Suppose u + 63 = 4*x. Let 9*g**4 + 16 - x - 6*g + 6*g**3 - 9*g**2 = 0. What is g?
-1, -2/3, 0, 1
Factor -3*i + 9/2 - 3/2*i**