i(m).
-5*(m - 1)*(31*m - 2)
Let a(w) = -w**2 + 156*w + 1131. Let k(n) = 155*n + 1130. Let t(l) = 5*a(l) - 6*k(l). Find q such that t(q) = 0.
-15
Let g(l) = -6*l**2 + l + 1. Let y be g(-1). Let m(a) = -a**3 - 5*a**2 + 4*a - 8. Let n be m(y). Determine w, given that w**2 + 2/5*w**3 - 2/5*w - w**n + 0 = 0.
-1, 0, 2/5, 1
Factor 0*f - 2/3*f**3 - 2/9*f**5 + 0 - 2/3*f**4 - 2/9*f**2.
-2*f**2*(f + 1)**3/9
Factor -10*t**2 + 34*t**2 + 0*t**3 + 36*t + 4*t**3.
4*t*(t + 3)**2
Let i = 2313/451 + -9/41. Factor 26/11*h + 14/11*h**4 + 46/11*h**3 + 4/11 + i*h**2.
2*(h + 1)**3*(7*h + 2)/11
Suppose -4*w + 2 - 2 = 0. Suppose 4*o**3 - 3/4*o**4 + 4 - 6*o**2 + w*o = 0. What is o?
-2/3, 2
Solve -8 + m**2 - 7*m**2 + 4*m + 4*m + 4*m**2 = 0.
2
Let 0*g**4 - 2*g**2 + 4 + g**4 + 1 - 4 = 0. What is g?
-1, 1
Let g(n) be the second derivative of -n**7/3780 - n**6/1080 + n**5/90 + n**4/6 - n. Let k(s) be the third derivative of g(s). Factor k(w).
-2*(w - 1)*(w + 2)/3
Let j(z) be the second derivative of z**8/672 - z**7/210 - z**2/2 + z. Let m(r) be the first derivative of j(r). Find n, given that m(n) = 0.
0, 2
Let x(m) be the third derivative of 1/315*m**7 - 1/180*m**6 + 0*m**3 + 0 - 1/90*m**5 + 1/504*m**8 - 8*m**2 + 0*m + 0*m**4. Find t, given that x(t) = 0.
-1, 0, 1
Let l(h) be the first derivative of 3*h**5/40 + 9*h**4/32 + 3*h**3/8 + 3*h**2/16 - 1. Factor l(m).
3*m*(m + 1)**3/8
Let l(s) = -4*s**2 - 8*s + 3. Let z(f) = 2*f**2 + 4*f - 2. Let u = -1 + -6. Let y(v) = u*z(v) - 4*l(v). Factor y(w).
2*(w + 1)**2
Determine c so that -4/11 - 2/11*c**2 + 6/11*c = 0.
1, 2
Let n(u) be the first derivative of -u**4 - 4*u**3/3 + 2*u**2 + 4*u - 15. Solve n(i) = 0.
-1, 1
Let z(a) = a**2 - 4*a - 2. Let p(o) = -1. Let y(f) = -5*p(f) + z(f). Let y(t) = 0. What is t?
1, 3
Let d = 45/14 - 25/14. Let d*p + 8/7 + 2/7*p**2 = 0. What is p?
-4, -1
Let b(w) be the second derivative of -5*w**7/42 + w**6/6 + 3*w**5/4 - 25*w**4/12 + 5*w**3/3 - 3*w. Factor b(n).
-5*n*(n - 1)**3*(n + 2)
Let f(w) = -3*w**3 + 2*w + 2. Let b(i) = 12*i**3 - 9*i - 9. Let d(m) = 2*b(m) + 9*f(m). Factor d(u).
-3*u**3
Let j(g) be the second derivative of 1/6*g**4 - 4/3*g**2 - 1/45*g**6 + 4/9*g**3 + 0 - 1/15*g**5 - g. Factor j(o).
-2*(o - 1)**2*(o + 2)**2/3
Let t be -3 + -1 + 217/54. Let s(u) be the second derivative of -t*u**4 + 0 + 1/27*u**3 - 2*u + 0*u**2. Determine m, given that s(m) = 0.
0, 1
Suppose -4 + 0 = 4*q + 2*d, d = -4*q - 2. Let p(j) be the second derivative of q*j**2 + 0 + 1/42*j**4 - 1/21*j**3 - 2*j. Factor p(a).
2*a*(a - 1)/7
Let o(b) be the third derivative of -b**6/120 - b**5/15 - 5*b**4/24 - b**3/3 - 4*b**2. Determine h, given that o(h) = 0.
-2, -1
Let k(h) be the third derivative of -h**7/1470 + h**6/168 - h**5/70 - 2*h**2 + 10. Factor k(u).
-u**2*(u - 3)*(u - 2)/7
Suppose -3*f = -0*f - 7*f. Determine j, given that 4/3*j + f - 2/3*j**2 = 0.
0, 2
Let s be 0*(2 - 1 - 0). Let x(y) be the third derivative of -1/180*y**5 - 1/18*y**3 - y**2 + 0*y + 1/36*y**4 + s. Suppose x(q) = 0. Calculate q.
1
Let l(r) be the first derivative of -r**3/15 + r**2/5 - 20. Factor l(n).
-n*(n - 2)/5
Suppose -19*t = -11*t - 3*t. Factor 8/5*i**4 - 2/5*i**5 - 2*i**3 + 4/5*i**2 + 0 + t*i.
-2*i**2*(i - 2)*(i - 1)**2/5
Let n be 3066/(-28)*(-1)/(-30) - -4. Let g(h) be the second derivative of 0 + 7/50*h**6 - 2*h - 3/50*h**5 - n*h**4 + 1/5*h**3 + 0*h**2. Solve g(r) = 0 for r.
-1, 0, 2/7, 1
Let t(j) = -j**3 - j**2 + j + 3. Let w be t(0). Suppose -6*d + 36 = -w*d. Factor 8*z - 3*z**3 - d*z - 6*z**2 - 2*z**2.
-z*(z + 2)*(3*z + 2)
Let o(i) be the second derivative of i**7/42 + i**6/5 + 11*i**5/20 + i**4/6 - 2*i**3 - 4*i**2 - 6*i. Find t such that o(t) = 0.
-2, -1, 1
Let m(u) be the first derivative of u**4/24 + 2*u**3/9 + u**2/3 - 18. Determine s so that m(s) = 0.
-2, 0
Let c be ((-1)/(-5))/((-304)/(-1000)). Let w = c - 3/19. Find n, given that -w*n**3 + n + 0 - 1/2*n**2 = 0.
-2, 0, 1
Let u be (-4)/(-16) + (-1)/4. Let c be (2/6)/(8/12). Factor -1/2*y**2 + u - c*y.
-y*(y + 1)/2
Suppose -3*t - 1 = 8. Let x be 1/(t*(-3)/18). Factor 6*c**3 - 4 - c**x - 4*c - 2*c + 5*c**2.
2*(c - 1)*(c + 1)*(3*c + 2)
Let k(g) be the second derivative of 3*g + 0 + 0*g**4 + 1/120*g**6 + 0*g**5 + 0*g**2 + 0*g**3. Factor k(q).
q**4/4
Let r(t) be the third derivative of t**7/140 - t**6/40 + t**5/40 + 51*t**2. Determine p, given that r(p) = 0.
0, 1
Suppose 3*h + 5*p + 6 = 0, 0*h + 3*h - 2*p = 15. Let k(l) be the first derivative of -1/4*l**4 + 0*l + 0*l**3 + 1/2*l**2 - h. Factor k(u).
-u*(u - 1)*(u + 1)
Let u(f) be the first derivative of 3*f**4/8 - f**3/6 - 3*f**2/4 + f/2 + 24. Factor u(x).
(x - 1)*(x + 1)*(3*x - 1)/2
Let b be 13/((-351)/45) - 11/(-3). Factor 1/3*d**b - 2/3*d + 1/3.
(d - 1)**2/3
Let g(d) be the first derivative of -3/2*d**4 + 2/3*d**3 - 2 + 3*d**2 - 4*d + 2/5*d**5. Factor g(v).
2*(v - 2)*(v - 1)**2*(v + 1)
Let b(a) be the third derivative of a**5/60 + a**4/6 + 2*a**3/3 + a**2. Suppose b(l) = 0. Calculate l.
-2
Let v(x) = 59*x**4 + 133*x**3 - 4*x**2 - 13*x. Let a(k) = -k**4 + k**3 - k. Let o(p) = -5*a(p) + v(p). Find j, given that o(j) = 0.
-2, -1/4, 0, 1/4
Suppose -3*f - 5*j - 15 = 2*f, 15 = -5*j. Suppose -3*x = -f*x - 6. What is n in 5*n**2 - 2*n**2 - 3 + n - 4*n**x + 5 = 0?
-1, 2
Let c(f) be the second derivative of f**4/3 - 2*f**3 + 4*f**2 + 15*f. Factor c(s).
4*(s - 2)*(s - 1)
Let h(z) = -z**3 + 2*z**2 + 2*z. Let r(v) be the first derivative of v**4 - 2*v**3 - 7*v**2/2 + 6. Let u(w) = 7*h(w) + 2*r(w). Factor u(k).
k**2*(k + 2)
Let k = -8 + 12. Solve -f + 14*f**2 + 9*f + 6*f**4 - k*f + 16*f**3 = 0.
-1, -2/3, 0
Let v(y) be the first derivative of 3*y**5 - 21*y**4/4 - 3*y**3 + 21*y**2/2 - 6*y + 6. Solve v(m) = 0.
-1, 2/5, 1
Let j = -10 - -10. Let l(a) be the third derivative of 1/70*a**7 + 0 - 1/40*a**6 + 2*a**2 + 0*a**4 - 1/336*a**8 + 0*a**3 + j*a + 1/60*a**5. Factor l(v).
-v**2*(v - 1)**3
Let u(h) = -3*h - 47 + h**2 + 53 + 8*h + 0*h**2. Let z be u(-4). Factor 0 - 1/5*k**3 + 2/5*k**z - 1/5*k.
-k*(k - 1)**2/5
Suppose -3*f + 11 = -2*s + 3, 4*f - 20 = -2*s. Suppose 5*d + 0*d - 165 = 0. Solve -d*n**3 + 4*n + 2*n**s + 63/2*n**4 + 0 = 0.
-2/7, 0, 2/3
Let h(y) be the first derivative of -7 - 1/2*y**4 + 1/2*y + y**3 - y**2 + 1/10*y**5. Determine w, given that h(w) = 0.
1
Let o(x) be the first derivative of 2/9*x**3 + 0*x + 1/3*x**2 + 2. Find w, given that o(w) = 0.
-1, 0
Let j = -175/2 - -527/6. Let g(v) = 2*v - 7. Let t be g(5). Solve j*o**4 - 2/3*o**2 + 0*o**t + 1/3 + 0*o = 0 for o.
-1, 1
Let z = 9 + -5. Let d(r) be the third derivative of 1/36*r**z + 0 + 0*r**3 + 1/180*r**6 + 1/45*r**5 + 2*r**2 + 0*r. Factor d(c).
2*c*(c + 1)**2/3
Let u = -39 - -14. Let c be ((-5)/(-2))/(u/(-15)). Let 3*q**3 + 0*q**4 - 3/2*q**5 - c*q + 0 + 0*q**2 = 0. What is q?
-1, 0, 1
Let j be -2*4/(24/(-15)). Suppose 4*s - 5*q - 15 = 0, -2*s - j*q + 1 = 16. Factor -2/3*r - 7/3*r**2 + s - 5/3*r**3.
-r*(r + 1)*(5*r + 2)/3
Let u = -8/17 + 90/119. Factor 4/7*q**2 + 0 + 2/7*q**3 + u*q.
2*q*(q + 1)**2/7
Let r = -373 - -378. Let 0*b**2 - 4/11*b**3 + 0 + 10/11*b**4 - 6/11*b**r + 0*b = 0. What is b?
0, 2/3, 1
Let l(y) = -6*y**3 - 10*y**2 - 26*y + 2. Let u(k) = -2*k**3 + 1 - 4*k - 2*k - 3*k - 3*k**2. Let m = 20 - 28. Let c(n) = m*u(n) + 3*l(n). Factor c(g).
-2*(g + 1)**3
Suppose -7*a + 2*a = -2*d - 10, 2*d = a - 10. Determine c, given that a + 1/2*c**2 - c = 0.
0, 2
Solve -1/4*n**2 + 3/4*n**3 + 0 + 1/4*n**5 - 3/4*n**4 + 0*n = 0.
0, 1
Let r(x) = -2*x**2 - x + 1. Let p(c) be the second derivative of c**4/4 + c**3/6 - c**2 - 3*c. Let z(u) = 5*p(u) + 8*r(u). Find i, given that z(i) = 0.
-2, -1
Factor -7*r + 3*r**2 + 17*r**2 - r - 12*r**3.
-4*r*(r - 1)*(3*r - 2)
Suppose 0*g = -4*y + 2*g + 12, -y - 6 = 4*g. Let m be (4/2)/(15/6). Suppose -2/5*k**y - 2/5 + m*k = 0. What is k?
1
Let j = 1 - 3. Let f(g) = g**3 + g + 1. Let t(i) = 2*i**5 + 10*i**4 + 14*i**3 + 8*i**2 - 2*i - 2. Let b(z) = j*f(z) - t(z). What is n in b(n) = 0?
-2, -1, 0
Let u(s) = -s**2 + s + 6. Suppose b - 5 = -2*i, b - 4*i = 5*b - 8. Let d(h) = -1. Let z(f) = b*u(f) - 6*d(f). Factor z(w).
w*(w - 1)
Let v(w) be the first derivative of -1/15*w**6 - 16/15*w**3 + 4/25*w**5 + 1 + 1/5*w**4 - 4/5*w + 7/5*w**2. Factor v(h).
-2*(h - 1)**4*(h + 2)/5
Let n(c) be the second derivative of -c**5/130 - c**4/39 + 4*c**3/39 + 8*c**2/13 - 4*c. Determine i