r 0 + 1/2*y + 1/4*y**t - 1/4*y**3.
-y*(y - 2)*(y + 1)/4
Let t(l) be the first derivative of l**7/42 + 7*l**6/120 + l**5/40 - l**4/48 - 3*l - 1. Let d(s) be the first derivative of t(s). Suppose d(g) = 0. Calculate g.
-1, 0, 1/4
Let z = -130 + 912/7. Factor -z + 2/7*r + 6/7*r**3 + 10/7*r**2.
2*(r + 1)**2*(3*r - 1)/7
Let i(c) be the third derivative of -c**6/2160 - 2*c**3/3 + 6*c**2. Let l(p) be the first derivative of i(p). Factor l(f).
-f**2/6
Let r(s) be the second derivative of 5*s**4/12 + 10*s**3/3 + 15*s**2/2 + 27*s - 2. Find w such that r(w) = 0.
-3, -1
Let a = 1/257 - -1535/1799. Find m, given that -2/7*m + 0 + a*m**2 - 6/7*m**4 + 2/7*m**3 = 0.
-1, 0, 1/3, 1
Factor 2 + 17*m**2 + 16*m - 33*m**2 + 4*m**5 - 2 + 8*m**4 - 12*m**3.
4*m*(m - 1)**2*(m + 2)**2
Suppose 5*d + q = 5, -4*d - 5*q + 25 = -d. Let i(c) be the third derivative of -2*c**2 + d + 0*c**3 + 0*c**4 + 0*c - 1/240*c**5. Solve i(b) = 0.
0
Let a(m) be the third derivative of -3*m**2 + 0 + 2/21*m**3 - 1/42*m**4 + 0*m + 1/420*m**5. Let a(r) = 0. Calculate r.
2
Let s(r) be the first derivative of 0*r + 0*r**5 + 0*r**4 + 0*r**2 + 5 + 0*r**3 - 1/3*r**6. Factor s(w).
-2*w**5
Let i be (-14)/(-6) - 18/(-27). Let f(t) be the third derivative of t**2 + 0*t**4 + 1/70*t**7 - 1/120*t**6 + 0 + 0*t + 0*t**i - 1/30*t**5. Factor f(s).
s**2*(s - 1)*(3*s + 2)
Let f = 5 - 0. Let j(p) be the second derivative of -1/42*p**7 + 1/30*p**6 + 0*p**3 - 2*p + 1/20*p**f + 0*p**2 - 1/12*p**4 + 0. Let j(n) = 0. What is n?
-1, 0, 1
Let d be (-46)/(-14) - (-14)/(-49). Factor 3*f**2 - 2*f - 3*f**2 + 18*f**4 - 10*f**2 - 4*f**3 - 2*f**d.
2*f*(f - 1)*(3*f + 1)**2
Let d(s) = -s**2 - 3*s. Let m(h) be the first derivative of -2*h**2 + 6. Let n(x) = -4*d(x) + 3*m(x). Factor n(u).
4*u**2
Suppose -5*a + 8 = -2. Let n(f) = -f**2 - 8*f - 7. Let w be n(-7). Factor -2*g**3 + g + g + g**4 - 3*g**a + w*g + 2*g**2.
g*(g - 2)*(g - 1)*(g + 1)
Let t(s) = s**4 + s + 1. Let p be (0 + -3)*3/9. Let m(n) = 8*n**5 + n**4 - 8*n**3 - 2*n**2 - n - 1. Let x(k) = p*t(k) - m(k). Suppose x(d) = 0. Calculate d.
-1, -1/4, 0, 1
Let w(j) be the second derivative of j**5/60 - j**4/18 - j**3/18 + j**2/3 + 2*j. Factor w(g).
(g - 2)*(g - 1)*(g + 1)/3
Let k(l) be the third derivative of 3*l**5/10 + 7*l**4/8 + l**3 + 3*l**2. Let k(g) = 0. What is g?
-2/3, -1/2
Let o(b) = b**3 - 4*b**2 + b - 11. Let v be o(5). Let y be 9/15 + v/35. Find m, given that -y*m**2 - 2/7 - 10/7*m = 0.
-1, -1/4
Let p(q) = 0*q**2 + 6*q + 4*q - 6 + 4*q**2. Let c be (26/4 - 0)*-2. Let g(x) = -9*x**2 - 21*x + 13. Let y(v) = c*p(v) - 6*g(v). Solve y(o) = 0 for o.
0, 2
Suppose 4*i - 4*u = -4, 5*i + u = -u + 30. Let z be -1 + -1*(-2)/2. Factor -3*f**4 - 2*f**i + 2*f**4 + z*f**4.
-3*f**4
Let n be 0 - (-55)/28 - (-148)/(-592). Determine y, given that -3/7*y**5 + 12/7*y**2 + 0 - 3/7*y - 18/7*y**3 + n*y**4 = 0.
0, 1
Suppose 9 - 3 = -2*d. Let s be 2*(-1)/(d/1). Determine a, given that 0*a**2 - 1/3 + 1/3*a**4 - 2/3*a + s*a**3 = 0.
-1, 1
Let o(g) be the first derivative of -1/7*g**4 + 2/5*g**5 + 2 - 8/7*g**2 + 8/7*g - 2*g**3. Determine v so that o(v) = 0.
-1, 2/7, 2
Let g(z) be the second derivative of -z**6/10 + 9*z**5/35 + 53*z**4/28 + 3*z**3 + 12*z**2/7 - 16*z. Determine f, given that g(f) = 0.
-1, -2/7, 4
Suppose -6*y + 9*y**2 - 11*y**4 + 2*y**4 + 6*y**4 = 0. What is y?
-2, 0, 1
Let y(w) be the first derivative of 0*w**2 + 0*w - 1/10*w**5 - 4 + 0*w**4 + 1/6*w**3. Factor y(g).
-g**2*(g - 1)*(g + 1)/2
Let z be (-39)/(-65) + ((-9)/(-10))/1. Factor -3/2 - 3*s - z*s**2.
-3*(s + 1)**2/2
Let f(j) be the second derivative of j**5/20 - 7*j**2/2 - 3*j. Let z(a) be the first derivative of f(a). Factor z(v).
3*v**2
Let m be 2 + -3 + 28/16. Let u = m + -1/4. Factor 1/4*j**4 - u*j**2 - 1/2*j**3 + 1/4*j**5 + 1/4 + 1/4*j.
(j - 1)**2*(j + 1)**3/4
Let y(r) = -34*r**2 - 43*r**2 - 10*r**2 - 4 - 30*r. Let w(g) = g**2 - g. Let n(v) = -6*w(v) - y(v). Suppose n(j) = 0. What is j?
-2/9
Let l(d) be the second derivative of -15/16*d**4 + 1/2*d**2 + 5*d + 0 - 1/3*d**3. What is u in l(u) = 0?
-2/5, 2/9
Suppose -5 = 6*t - 7*t. Factor -6/5*i**4 + 0 + 0*i**2 + 3/5*i**3 + 0*i + 3/5*i**t.
3*i**3*(i - 1)**2/5
Let k be (-55)/(147/(-2) + 0). Let i = k - 4/49. Factor 0 - 8/3*b**2 + i*b.
-2*b*(4*b - 1)/3
Let y(c) = -c + 3. Let g be y(3). Let u be (3 - (-20)/(-8))*g. Let -1/5*t**3 + u + 0*t**2 - 1/5*t**4 + 0*t = 0. Calculate t.
-1, 0
Suppose 2/3*l + 2/3*l**2 - 2/3*l**3 - 2/3 = 0. Calculate l.
-1, 1
Let j(b) be the third derivative of b**6/30 + 2*b**5/15 - b**4/6 - 4*b**3/3 + 10*b**2. Determine y so that j(y) = 0.
-2, -1, 1
Let h(q) be the second derivative of 1/3*q**3 + 1/12*q**4 - 1/10*q**5 + 3*q - 1/2*q**2 + 0. Determine b, given that h(b) = 0.
-1, 1/2, 1
Let c(k) be the first derivative of k**6/40 + k**5/4 + k**4 + 2*k**3 - 3*k**2 + 4. Let h(a) be the second derivative of c(a). Let h(s) = 0. Calculate s.
-2, -1
Let m(i) be the third derivative of -i**6/220 + 3*i**4/44 + 2*i**3/11 - 60*i**2. Factor m(p).
-6*(p - 2)*(p + 1)**2/11
Factor 3*l**5 - 6*l**2 - 10 + 18 - 5*l - 9 + 7*l**4 + 2*l**3.
(l - 1)*(l + 1)**3*(3*l + 1)
Let o = 697/5 - 139. Let d(c) be the second derivative of 2/9*c**3 - 2*c - o*c**5 + 0 - 1/18*c**4 + 0*c**2 - 1/5*c**6. Solve d(z) = 0 for z.
-1, -2/3, 0, 1/3
Let u be (-46)/(-132) + 2/(-11). Find m such that 0*m - u*m**2 + 1/6*m**3 + 0 = 0.
0, 1
Suppose 3*d + d = 0. Let p be (3 - d)/(-3)*-2. Suppose 3*j - j - j**2 + j - p = 0. What is j?
1, 2
Suppose 5*m + 1 = -34. Let d = 8 + m. Suppose -v - 1/4*v**2 - d = 0. What is v?
-2
Let r(a) be the first derivative of -a**6/3 + 4*a**5/25 + a**4 - 8*a**3/15 - a**2 + 4*a/5 + 5. What is y in r(y) = 0?
-1, 2/5, 1
Let 9*g**4 + 3*g**4 - 40*g**3 + 68*g**2 + 104*g**3 + 16*g = 0. Calculate g.
-4, -1, -1/3, 0
Let x(i) be the first derivative of -i**7/147 + i**5/35 - i**3/21 - 3*i - 2. Let o(f) be the first derivative of x(f). Find r, given that o(r) = 0.
-1, 0, 1
Find h such that 1/2*h**3 + 0*h + h**2 + 0 = 0.
-2, 0
Factor 2*v**4 + 18*v**3 - 3*v**2 - 39*v - 6*v**2 + 4*v**4 - 18 - 3*v**2 - 3*v**5.
-3*(v - 3)*(v - 2)*(v + 1)**3
Let u(h) = -4*h**4 + 4*h**3 + 12*h**2 + 4*h - 4. Let l(d) = 4*d**4 - 3*d**3 - 11*d**2 - 3*d + 4. Let i(t) = -4*l(t) - 3*u(t). Find z such that i(z) = 0.
-1, 1
Let p(h) be the first derivative of 25*h**6/2 + 12*h**5 - 213*h**4/4 - 110*h**3 - 78*h**2 - 24*h - 8. What is g in p(g) = 0?
-1, -2/5, 2
Let x(b) = -b**3 + 4*b + 1. Let k(i) = i. Let v(j) = -4*k(j) + x(j). Let y be v(-1). Solve 4/9 + 2/9*a - 2/9*a**y = 0 for a.
-1, 2
Let v be (-2)/12 - 2/(-12). Let x(a) be the second derivative of -1/42*a**4 - 2*a - 1/21*a**3 + v + 0*a**2. Factor x(u).
-2*u*(u + 1)/7
Suppose 0 = 15*w - 24*w + 36. Let 0 - 1/3*q**5 + 4/3*q**2 - 1/3*q + 4/3*q**w - 2*q**3 = 0. What is q?
0, 1
Let o be (-1 - (-7)/5)*(-310)/(-93). Let -4*h - 4/3 - 4*h**2 - o*h**3 = 0. What is h?
-1
Factor 9/8*v**3 + 7/2*v**2 + 2 + 9/2*v + 1/8*v**4.
(v + 1)*(v + 2)**2*(v + 4)/8
Factor -1/11*w**4 + 0*w + 0 - 1/11*w**2 - 2/11*w**3.
-w**2*(w + 1)**2/11
Let h = 29/44 - -11383/220. Let w = h + -52. What is q in 0 + 2/5*q**3 + w*q**2 - 2/5*q**4 - 2/5*q = 0?
-1, 0, 1
Let d(u) = 3*u**2 - 24*u + 48. Let z(p) = -p**2 + 8*p - 16. Let r(k) = -6*d(k) - 17*z(k). Determine n so that r(n) = 0.
4
Suppose -f + 3 = -1. Solve 14*k**3 + 0*k**3 + 4*k**2 + 0*k**2 - 14*k**5 - f*k**4 = 0.
-1, -2/7, 0, 1
Let 5/4*m - 3/2 - 1/4*m**2 = 0. Calculate m.
2, 3
Let i(r) be the second derivative of -r**8/840 - r**7/525 + r**6/300 + r**5/150 - 3*r**2/2 + 3*r. Let s(f) be the first derivative of i(f). Factor s(g).
-2*g**2*(g - 1)*(g + 1)**2/5
Let d be (-1)/(-2)*(-2 - -2). Suppose -1 - 19 = -4*i + 2*v, d = 5*i + 4*v + 1. Find o, given that -i*o**2 + 3*o - 4*o - 2*o**2 + 2*o**2 = 0.
-1/3, 0
Let q be (3/2)/((-18)/(-48)). Let s = 18 - 12. Factor 1 - 1 + 5*v**4 + s*v**3 - 2*v**q.
3*v**3*(v + 2)
Let y be (-12)/9 - (-48)/9. Let x = 0 - 0. Determine t so that -y + 2 - 6*t - 6*t**2 + x*t**3 - 2*t**3 = 0.
-1
Let a(h) be the first derivative of 2*h**5/35 - 2*h**4/7 - 10*h**3/21 + 4. Determine g so that a(g) = 0.
-1, 0, 5
Let z(f) be the third derivative of -f**6/540 - f**5/90 - f**4/36 + f**3/6 + 2*f**2. Let r(y) be the first derivative of z(y). Factor r(p).
-2*(p + 1)**2/3
Let j(v) = 6*v**3 + 5*v**2 + 23*v + 17. Let k(f) = -f**3 - f**2 - 4*f - 3. Suppose 