- 2*t**2 + 4 - 22*t.
-2*t*(t + 11)
Let i(p) be the third derivative of p**7/42 + p**6/4 + 13*p**5/12 + 5*p**4/2 + 10*p**3/3 + 16*p**2. Determine g so that i(g) = 0.
-2, -1
Let s(i) be the first derivative of -4*i**2 - 12/5*i**5 + 7 - 10*i**4 - 12*i**3 + 0*i. Determine t, given that s(t) = 0.
-2, -1, -1/3, 0
Let d(q) = -3*q**4 + 3*q**3 + 3*q**2 - 3*q + 4. Let z(f) = -3*f**2 - f**3 + 0 + f + f**4 - 1 + 2*f**2. Let j(m) = 3*d(m) + 12*z(m). Find g, given that j(g) = 0.
-1, 0, 1
Suppose -8*w = -11*w + 6. Find z such that 0*z + 2/7*z**w + 0 = 0.
0
Let t(z) be the first derivative of -z**5/15 + z**4/4 - z**3/3 + z**2/6 + 2. Factor t(a).
-a*(a - 1)**3/3
Let h(c) = -c**2 - 1. Let z(p) = -6*p**2 - 3*p - 7. Let i(d) = -14*h(d) + 2*z(d). Find f such that i(f) = 0.
0, 3
Factor -3/4 - 6*b**2 + 27/4*b.
-3*(b - 1)*(8*b - 1)/4
Solve -16/3*a - 2/3*a**4 + 0 + 8/3*a**2 + 4/3*a**3 = 0.
-2, 0, 2
Let h(d) be the first derivative of 2*d**3/39 - 8*d**2/13 + 4. Factor h(j).
2*j*(j - 8)/13
Let o(d) be the third derivative of d**8/5040 - d**7/630 + d**5/12 + d**2. Let i(m) be the third derivative of o(m). Factor i(u).
4*u*(u - 2)
Let p be 2/11 + (-742)/(-154). Let i be -2 - (-4)/8*p. Find v, given that -1/2*v**2 + 1 + i*v = 0.
-1, 2
Let v(q) be the first derivative of -1/4*q**4 - 1 - 1/3*q**3 + 0*q + 0*q**2. Factor v(m).
-m**2*(m + 1)
Let x = -98 - -98. Let q(b) be the first derivative of x*b + 3 + 1/3*b**3 + 1/2*b**2. Factor q(z).
z*(z + 1)
Let n be (2/63*3)/(16/72). Let -3/7*p**3 + n*p + 6/7 - 6/7*p**2 = 0. What is p?
-2, -1, 1
Suppose 2 + 28*g + 6*g**2 - 30*g + 2*g**3 - 8 = 0. What is g?
-3, -1, 1
Let r = 28 - 28. Suppose r*k - 4*k + 9 = 3*f, -3*k + 7 = 2*f. Let 2/7*q**5 + 8/7 + 32/7*q + 50/7*q**2 + 38/7*q**k + 2*q**4 = 0. What is q?
-2, -1
Solve -2/13*t**3 + 22/13*t**2 + 2/13*t - 22/13 = 0.
-1, 1, 11
Let n(l) be the third derivative of -1/30*l**5 + 0 + 3*l**2 - 1/120*l**6 + 0*l**3 + 0*l + 0*l**4. Let n(z) = 0. What is z?
-2, 0
Let k = 59/21 + -2/3. Find v such that 0*v + k*v**3 - 12/7*v**4 - 3/7*v**2 + 0 = 0.
0, 1/4, 1
Let x(l) = 3*l**4 - 3*l**3 + 6*l - 6. Let z(j) = 6*j**4 - 7*j**3 + j**2 + 13*j - 13. Let g(a) = 13*x(a) - 6*z(a). Factor g(k).
3*k**2*(k - 1)*(k + 2)
Let i(m) be the third derivative of m**6/1200 + 13*m**5/600 + m**4/5 + 3*m**3/5 - 4*m**2. Suppose i(x) = 0. Calculate x.
-6, -1
Let q be ((-6)/5)/(1/(-10)). Solve 8*g + 74*g**3 + 2*g**2 - 4*g**5 + 42*g**4 + q*g**5 + 46*g**2 = 0 for g.
-2, -1, -1/4, 0
Solve 20/7*q - 9/7*q**3 + 6/7*q**2 + 8/7 = 0.
-2/3, 2
Factor -2*g**4 - 8 + 8 - 2 + 4*g**2.
-2*(g - 1)**2*(g + 1)**2
Let g = 1 + 1. Let r be ((-1)/(-2))/((-11)/(-88)). Determine m, given that -2*m**r - m + g*m**2 + m = 0.
-1, 0, 1
Suppose 5*w - 7*w = 16. Let x(c) = c**2 + 7*c - 8. Let h be x(w). Determine t, given that -5/3*t**3 + 4/3*t**5 + 1/3*t + h + t**2 - t**4 = 0.
-1, -1/4, 0, 1
Factor 4/3*r - 2/3*r**2 + 0.
-2*r*(r - 2)/3
Factor -2/7*n**3 - 8/7*n + 8/7*n**2 + 0.
-2*n*(n - 2)**2/7
Suppose -d + 1 + 6 = 5*t, 11 = 4*d + 3*t. Let l(f) be the first derivative of -d - 1/2*f**4 - f**2 - 4/3*f**3 + 0*f. Factor l(u).
-2*u*(u + 1)**2
Let v(i) be the second derivative of -i**4/60 + i**3/10 - i**2/5 + 6*i. Factor v(y).
-(y - 2)*(y - 1)/5
Factor 6*a**3 - 3*a + a**4 - 4*a**5 + a**5 - a**4.
-3*a*(a - 1)**2*(a + 1)**2
Let m(w) be the third derivative of w**8/10080 + w**7/840 + w**6/180 - w**5/30 - 2*w**2. Let j(y) be the third derivative of m(y). What is n in j(n) = 0?
-2, -1
Let o(x) = -8*x**3 + 8*x**2 - 10*x + 1. Let w(g) = -17*g**3 + 15*g**2 - 21*g + 2. Let s(y) = 7*o(y) - 3*w(y). Factor s(a).
-(a - 1)**2*(5*a - 1)
Suppose 2*o = -o - 3. Let p be 8/(-4)*o*2. Find g such that 2/9*g**5 + 2/9*g**3 - 4/9*g**p + 0 + 0*g**2 + 0*g = 0.
0, 1
Let k be (0 - 2)*(-10)/1. Suppose 12 = k*n - 17*n. Factor 0*i + 0 + 0*i**2 + 2/5*i**n + 2/5*i**3.
2*i**3*(i + 1)/5
Let t(a) = 9*a**3 + 109*a**2 + 731*a + 1719. Let q(p) = -10*p**3 - 110*p**2 - 730*p - 1720. Let m(c) = 4*q(c) + 5*t(c). Factor m(g).
5*(g + 7)**3
Factor -1/3*y**2 - 1/3*y + 0.
-y*(y + 1)/3
Let o(b) = b**2 - 15*b - 14. Let c be o(16). Let t(j) be the first derivative of 0*j**c - 1/15*j**3 - 2 + 1/5*j. Factor t(u).
-(u - 1)*(u + 1)/5
Let w(j) = j**3 + 10*j**2 + 8*j - 6. Let c be ((-9)/4)/((-2)/(-8)). Let f be w(c). Factor -4 - f*s**2 + 5*s**2 + 2*s**3 - 2*s + 2.
2*(s - 1)*(s + 1)**2
Let g be 6/(-15) + 22/5. Find c, given that g*c**3 - 4*c + 7*c - 12*c**2 - c + 6*c = 0.
0, 1, 2
Let m(p) be the second derivative of -2*p**4/3 - p**3/3 - 6*p. Find c such that m(c) = 0.
-1/4, 0
Let d(l) = 3*l**2 + 31*l + 39. Let j be d(-9). What is o in -3/7*o**j + 0 + 6/7*o**2 + 0*o - 6/7*o**4 + 3/7*o**5 = 0?
-1, 0, 1, 2
Suppose 4*l + l = -5. Let v(a) = -a**2 + 3*a + 4. Let n(y) = -y - 1. Let c(f) = l*v(f) - 3*n(f). Factor c(m).
(m - 1)*(m + 1)
Let r(f) be the third derivative of -f**7/1680 + f**6/480 - f**4/96 + f**3/3 - f**2. Let p(i) be the first derivative of r(i). Factor p(m).
-(m - 1)**2*(2*m + 1)/4
Let h = 6 - 4. Let 0*p**3 + 3*p**h - 3*p - 3*p**4 - 3*p**3 + 2*p + 4*p**4 = 0. Calculate p.
0, 1
Let w = 13/36 + -1/4. Let u(h) be the second derivative of h + 0*h**3 + 1/15*h**6 + w*h**4 + 0 + 0*h**2 - 1/6*h**5. Suppose u(n) = 0. Calculate n.
0, 2/3, 1
Let d(r) be the second derivative of -r**5/40 + r**4/24 + r**3/6 + 7*r. Suppose d(f) = 0. What is f?
-1, 0, 2
Let g(d) be the third derivative of 0 + 2/105*d**5 + 5/84*d**4 + 2/21*d**3 + 1/420*d**6 + 3*d**2 + 0*d. Let g(t) = 0. What is t?
-2, -1
Let w(s) = -7*s**4 - 8*s**3 - s**2 + 29*s - 18. Let p(d) = -d**4 - d**2 + d. Let m(b) = -5*p(b) + w(b). Factor m(x).
-2*(x - 1)**2*(x + 3)**2
Factor 10/3 + 5*a + 5/3*a**2.
5*(a + 1)*(a + 2)/3
Let c(k) be the third derivative of -k**5/20 - k**4/4 + 16*k**2. Determine a, given that c(a) = 0.
-2, 0
Suppose -5*y - u = -20, 2*y + 0*y - 4*u = 30. Solve -2*d**y - 20*d**3 + 15*d**3 + 7*d**3 = 0 for d.
-1, 0, 1
Suppose 16 - 3*u**2 + 0*u + 1/2*u**3 = 0. What is u?
-2, 4
Let v(z) = 8*z + 1. Let w(d) = d. Let u(c) = -v(c) + 6*w(c). Let n(f) = -f**2 - f - 1. Let y(o) = -n(o) - u(o). Let y(m) = 0. What is m?
-2, -1
Suppose -4/3*h**3 + 0 - 2/3*h**2 + 0*h - 1/2*h**4 = 0. What is h?
-2, -2/3, 0
Factor 0 - 2/13*l**2 - 2/13*l.
-2*l*(l + 1)/13
Let w(u) be the first derivative of u**6/720 + u**5/40 + 3*u**4/16 - 4*u**3/3 - 9. Let o(p) be the third derivative of w(p). Factor o(t).
(t + 3)**2/2
Let t be (4/(-9))/2 + 184/720. Let y(o) be the third derivative of 2*o**2 + 1/12*o**4 + 0 - t*o**5 + 0*o**3 + 0*o. Factor y(n).
-2*n*(n - 1)
Let s(g) be the first derivative of -g**6/24 - 3*g**5/20 - 3*g**4/16 - g**3/12 - 1. Factor s(l).
-l**2*(l + 1)**3/4
Let t(a) be the second derivative of 3*a**5/100 - 9*a**4/20 + 12*a**3/5 - 24*a**2/5 + 20*a. Let t(b) = 0. Calculate b.
1, 4
Let w = 289/1341 - -1/149. Suppose 0 - 2/3*m**2 - 4/9*m + 2/3*m**4 + 2/9*m**3 + w*m**5 = 0. Calculate m.
-2, -1, 0, 1
Let 0*w**3 + 0*w - 2/13*w**5 - 2/13*w**4 + 0 + 0*w**2 = 0. Calculate w.
-1, 0
Let i(n) = n**3 + n**2 + n. Let h be i(-2). Let d = h + 10. Factor -d + v + 0*v**2 + 3*v - v**2.
-(v - 2)**2
Let g be ((-6)/(-27))/(4 + 10/(-3)). Factor -g*m**2 + 0 - 1/3*m**4 + 2/3*m**3 + 0*m.
-m**2*(m - 1)**2/3
Let h = -9076/335 - -12329129/450240. Let t = h + -1/192. Factor -4/7*j**4 + 0*j + 2/7*j**3 + 0 + 0*j**2 + t*j**5.
2*j**3*(j - 1)**2/7
Let l be ((-185)/(-30))/1 + (-3)/18. Let d(v) be the second derivative of 0*v**2 + 2/9*v**4 - 3*v + 1/9*v**l + 13/30*v**5 - 4/9*v**3 + 0. Solve d(k) = 0 for k.
-2, -1, 0, 2/5
Let 2*l**4 + 75*l**2 - 77*l**2 + 6*l - 5*l**3 - l**3 = 0. Calculate l.
-1, 0, 1, 3
Let s be (-3)/(-12)*144/30. Find a such that 0 + 2/5*a + 4/5*a**4 - 8/5*a**3 - 4/5*a**2 + s*a**5 = 0.
-1, 0, 1/3, 1
Let p(j) be the first derivative of 2/3*j - 1/9*j**6 + 4/9*j**3 - 2/5*j**5 - 3 + j**2 - 1/3*j**4. Factor p(o).
-2*(o - 1)*(o + 1)**4/3
Let g(b) = -54*b**2 + 16*b - 6. Let v(x) = 16*x - 55*x**2 - 6 - 1 - x. Let l(a) = 5*g(a) - 4*v(a). Factor l(u).
-2*(5*u - 1)**2
Determine v, given that 1 - v**2 + 3/2*v = 0.
-1/2, 2
Let r = -6/17 + 64/85. Let c(s) be the first derivative of 0*s**4 + 2/3*s**3 - 1 + 0*s + 0*s**2 - r*s**5. Determine u so that c(u) = 0.
-1, 0, 1
Let b(x) = x - 2. Let j(c) = 2*c - 3. Let z(w) = 11*b(w) - 6*j(w). Let l be z(-8). Factor 2/3*f - 4/3*f**2 - 8/3*f**l - 14/3*f**3 + 0.
-2*f*(f + 1)**2*(4*f -