hird derivative of -j**5/10 - 13*j**4/12 - 7*j**3/3 + 4*j**2. Let w(z) = -2*z**2 - 9*z - 5. Let h(f) = 5*c(f) - 14*w(f). What is l in h(l) = 0?
-2, 0
Let z(x) = 3*x - x**2 - 10 - 3*x - 4*x - 5*x. Let c be z(-7). Solve 1/4*o**c + 1/4*o**2 + 0*o + 0 - 1/2*o**3 = 0.
0, 1
Let n = -1/2 - -3/4. Factor -n*o**4 + 0*o + 1/4*o**3 + 0 + 0*o**2.
-o**3*(o - 1)/4
Let b(v) = v**5 - 9*v**4 + 24*v**3 - 3*v**2 - 25*v + 12. Let m(c) = -4*c**4 + 12*c**3 - 2*c**2 - 12*c + 6. Let j(z) = -2*b(z) + 5*m(z). Factor j(y).
-2*(y - 1)**3*(y + 1)*(y + 3)
Let n(a) be the third derivative of a**6/40 + 27*a**5/20 + 243*a**4/8 + 729*a**3/2 + 39*a**2. Determine d so that n(d) = 0.
-9
Let a(s) be the second derivative of s**10/196560 - s**8/21840 + s**6/4680 + s**4/4 + 3*s. Let p(r) be the third derivative of a(r). Factor p(c).
2*c*(c - 1)**2*(c + 1)**2/13
Factor 5*t**3 + 0 + 6*t**2 + 0 - 8*t**3.
-3*t**2*(t - 2)
Let f be (-7)/(-7)*(-2 - -7). Let s(o) = 4 - 2 - 3. Let n(l) = -2*l**2 - 2*l + 5. Let b(k) = f*s(k) + n(k). Suppose b(i) = 0. What is i?
-1, 0
Let m be (6/(-9))/(6/(-27)). What is l in -1/2*l**4 + 0*l**m + 0 + 0*l + 1/2*l**2 = 0?
-1, 0, 1
Let o(y) = 6*y**3 + 0*y - 2*y**2 + 4*y + 4 - 2*y + 7*y**2. Let l be 3*-2*4/6. Let i(w) = -6*w**3 - 6*w**2 - 3*w - 5. Let x(t) = l*i(t) - 5*o(t). Factor x(a).
-a*(2*a - 1)*(3*a + 2)
Determine m, given that 2/5*m**2 - 1/5*m + 0 - 1/5*m**3 = 0.
0, 1
Let 1/4*j**4 + 1/4*j**3 - 1/4*j**2 - 1/4*j + 0 = 0. What is j?
-1, 0, 1
Let b(d) be the first derivative of -d**9/1512 - d**8/210 - d**7/70 - d**6/45 - d**5/60 + d**3 + 1. Let w(m) be the third derivative of b(m). Factor w(y).
-2*y*(y + 1)**4
Solve 32*d**5 - 2*d**4 + 19*d - 46*d**3 - 2 + 18*d**4 - 5*d - 14*d**2 = 0 for d.
-1, 1/4, 1
Let a = -4/15 - -23/30. Let t be 14/49 + 3/14. Factor t*w + 0 + 3/2*w**2 + a*w**4 + 3/2*w**3.
w*(w + 1)**3/2
Let z = -415/8 - -52. Let b(s) be the first derivative of 2/3*s**3 - 7/8*s**2 + 1/24*s**6 + 1/2*s - 1 - z*s**4 - 1/10*s**5. Let b(d) = 0. What is d?
-2, 1
Suppose -y + 3 = 4*r, -2*r + 3 = 3*r + y. Suppose -34*m + 31*m = -12. Factor 0*k**3 + r + 2/3*k**2 - 2/3*k**m + 0*k.
-2*k**2*(k - 1)*(k + 1)/3
Suppose 3*h - 3*q = 5 + 7, -5*h = 5*q + 20. Let o(c) be the third derivative of 0*c**4 + h*c - 1/60*c**5 + 1/6*c**3 + 0 + c**2. Factor o(i).
-(i - 1)*(i + 1)
Suppose -88*v - 8 = -92*v. Factor 3/5*x**v + 0*x - 3/5*x**4 - 3/5*x**5 + 3/5*x**3 + 0.
-3*x**2*(x - 1)*(x + 1)**2/5
Let j(c) be the first derivative of c**4/16 + c**3/6 + c**2/8 + 10. Suppose j(i) = 0. Calculate i.
-1, 0
Let d = 1 + -5. Let q = d - -6. Factor 6*a**3 - 3*a + 5*a + 3*a**2 - 4*a**q + 7*a**2 + 2*a**4.
2*a*(a + 1)**3
Factor -j - 5*j**5 - 2*j - 2*j + 4*j**3 + 6*j**3.
-5*j*(j - 1)**2*(j + 1)**2
Suppose -6 = -3*x + 9. Let l(y) = 14*y**3 + 4*y**2 - 2*y - 8. Let h(d) = -9*d**3 - 3*d**2 + d + 5. Let g(z) = x*l(z) + 8*h(z). Suppose g(s) = 0. What is s?
-1, 0
Let d be (3 + 0 + 1)*2/4. Find t, given that 2/9*t**d + 0*t - 2/9 = 0.
-1, 1
Suppose a - 2*a = -8. Suppose w + a + w**2 - 8 = 0. Calculate w.
-1, 0
Let r be (-24)/(-132) + 6/88. Let p(w) be the first derivative of 1/4*w - 1 - r*w**2 + 1/12*w**3. Factor p(a).
(a - 1)**2/4
Let n(t) be the first derivative of 1/22*t**4 - 1/11*t**2 + 0*t**3 + 0*t - 3. Let n(k) = 0. Calculate k.
-1, 0, 1
Suppose 0 = -2*j - 12 + 20. Find m such that 2/3*m**j - 2/3*m**3 + 2/3*m**5 + 0*m - 2/3*m**2 + 0 = 0.
-1, 0, 1
What is l in -2/3 + l**4 - 7/3*l**3 + l**2 + l = 0?
-2/3, 1
Let b be ((-92)/(-20) + 1)*10/6. Solve 98/3*l**2 + 2/3 - b*l = 0 for l.
1/7
Let 0 - 8/3*b - 2/3*b**4 + 8/3*b**3 + 2/3*b**2 = 0. Calculate b.
-1, 0, 1, 4
Factor 2/5*a**2 + 12/5*a + 18/5.
2*(a + 3)**2/5
Let u = -1 - -1. Factor 6*t**2 - 4 - 2 + u*t + 3*t**3 - 3*t.
3*(t - 1)*(t + 1)*(t + 2)
Let p(d) be the third derivative of -4*d**2 + 128/5*d**3 + 0 + 0*d + 24/25*d**5 + 2/25*d**6 + 1/350*d**7 + 32/5*d**4. Factor p(a).
3*(a + 4)**4/5
Let m = -13 - -17. Let v(x) = x + 16. Let c be v(-9). Factor -6*t**3 - 2*t - 3 - 4*t**m + c*t**4 + 8*t.
3*(t - 1)**3*(t + 1)
Factor -2*p + p - 2*p**2 - 4*p**3 + 2*p**3 + 2 + 3*p.
-2*(p - 1)*(p + 1)**2
Suppose 4*n + 5*f + 5 = -2, 0 = -3*f - 9. Factor -2/7*y**4 + 0*y**n + 0 + 0*y + 2/7*y**3.
-2*y**3*(y - 1)/7
Let m = 8/26991 + 1213027/5290236. Let g = 1/49 + m. Solve -g*c**2 + 1/2*c + 0 = 0.
0, 2
Let d(t) be the first derivative of 25*t**7/63 - 2*t**6/3 - 11*t**5/30 + 2*t**4/3 + 4*t**3/9 + 5*t - 5. Let c(g) be the first derivative of d(g). Factor c(o).
2*o*(o - 1)**2*(5*o + 2)**2/3
Let w(u) = u**3 + 5*u**2 - 6*u + 3. Let q be w(-6). Let j(l) = l - 2. Let o be j(4). Factor 10*s**q + 0*s**o - 5*s**2 + s**2 - 6*s**4.
-2*s**2*(s - 1)*(3*s - 2)
Suppose -20 = -5*y, -3*x = 2*y - 0 - 14. Factor 4/3 + 1/3*h**3 + 8/3*h + 5/3*h**x.
(h + 1)*(h + 2)**2/3
Let a(n) be the third derivative of -3*n**2 + 0*n**3 + 0*n + 0*n**4 - 1/735*n**7 + 0 - 1/210*n**5 - 1/210*n**6. Factor a(m).
-2*m**2*(m + 1)**2/7
Factor 1/7*a**4 + 0 + 0*a**3 - 1/7*a**2 + 0*a.
a**2*(a - 1)*(a + 1)/7
Let k(m) be the first derivative of m**6/1080 - m**5/90 + m**4/18 - m**3/3 + 5. Let i(f) be the third derivative of k(f). Let i(h) = 0. Calculate h.
2
Let s = -44/5 - -89/10. Let h(y) be the first derivative of -3 + 1/20*y**4 - s*y**2 + 2/5*y - 2/15*y**3. Solve h(x) = 0.
-1, 1, 2
Suppose 5*y = -4*p + 12, -23 = -3*p + 5*y + 21. Factor 3*b**2 - p*b + 3 + 0 + 0*b**2 + 1.
(b - 2)*(3*b - 2)
Let a(l) be the third derivative of -l**8/336 - l**7/70 - l**6/40 - l**5/60 - 5*l**2. Factor a(s).
-s**2*(s + 1)**3
Solve -16/5 - 16/5*z - 4/5*z**2 = 0 for z.
-2
Let s = 10 - 6. Suppose -s*z + z + 5*p + 29 = 0, 5*p = 5*z - 35. Factor -f**z - 3*f**2 + 2*f**2 - 1 + 1.
-f**2*(f + 1)
Suppose 5*q = -12 + 42. Suppose 5*o + q - 16 = 0, 3*t - 3*o = -6. Factor 1/3*i + t + 4/3*i**2.
i*(4*i + 1)/3
Let a(h) be the third derivative of h**5/30 + h**4/12 - h**2. Factor a(c).
2*c*(c + 1)
Let z(d) = 12 + 9 - d**2 - 18*d - 17. Let l be z(-18). Find x such that 5/2*x + 1 + 0*x**2 - 5*x**l - 5*x**3 - 3/2*x**5 = 0.
-1, 2/3
Let y(p) be the second derivative of -p**6/180 + p**5/60 + p**4/24 - p**3/9 - p**2/3 + 4*p. Find s such that y(s) = 0.
-1, 2
Let f(i) be the third derivative of -4*i**2 - 1/21*i**4 + 0*i - 1/7*i**3 - 1/210*i**5 + 0. Find w, given that f(w) = 0.
-3, -1
Factor -17*h - 6*h + 15 + 43*h + 5*h**2.
5*(h + 1)*(h + 3)
Let h(o) be the second derivative of o**6/24 - 3*o**5/20 + o**4/12 + 16*o. Let h(v) = 0. What is v?
0, 2/5, 2
Let l(s) be the second derivative of -s**6/6 - s**5/2 - 5*s**4/12 + 41*s + 1. Factor l(k).
-5*k**2*(k + 1)**2
Let y = -24 - -44. Suppose 0 = -t - 3*c - c - y, t + 5*c = -25. Find a, given that -a**3 + 1/2*a**5 + 0*a**4 + 0 + t*a**2 + 1/2*a = 0.
-1, 0, 1
Suppose 7 = 2*s - 5. Solve 7*v**2 - 10*v**3 - 7*v + 15*v + v**2 - s*v**4 = 0.
-2, -2/3, 0, 1
Suppose -1176 + 15*g**2 + 25*g**3 - 10*g + 1176 = 0. What is g?
-1, 0, 2/5
Let d(g) = 3*g + 11. Let s be d(-14). Let a = -28 - s. Solve -1/2*c**5 + 1/2*c**a - c**4 + c**2 + 0*c + 0 = 0.
-2, -1, 0, 1
Let i(x) be the third derivative of x**7/1995 - x**6/380 + x**5/190 - x**4/228 - 13*x**2. Suppose i(h) = 0. What is h?
0, 1
Let w be -1 + -1 + (-3312)/(-1190). Let r = w + 2/119. Factor -4/5*j**2 + r + 2/5*j**3 - 2/5*j.
2*(j - 2)*(j - 1)*(j + 1)/5
Let m(f) be the third derivative of -f**8/6720 - f**7/3360 - f**3/3 + 6*f**2. Let t(d) be the first derivative of m(d). Factor t(w).
-w**3*(w + 1)/4
Suppose 3*u - 3*a + a + 1 = 0, -3*u + 34 = 5*a. Factor -8/3*l**u + 0*l**2 - 10*l**5 + 0 + 0*l - 32/3*l**4.
-2*l**3*(3*l + 2)*(5*l + 2)/3
Let t(y) be the third derivative of -y**9/151200 + y**8/50400 - y**5/20 - 2*y**2. Let r(i) be the third derivative of t(i). Factor r(x).
-2*x**2*(x - 1)/5
What is l in 0*l - l**4 + 2*l**5 - 4*l**2 - 4*l + 14*l**2 - l**4 - 6*l**3 = 0?
-2, 0, 1
Let 69*h + 67 - 85 + 12*h**2 - 33*h**2 = 0. Calculate h.
2/7, 3
Let i(d) be the first derivative of -1/10*d**5 + 1/4*d**2 + 1 - 1/2*d**3 + 0*d + 3/8*d**4. Factor i(b).
-b*(b - 1)**3/2
Let g = 4 - -1. Factor -3*z**4 - 5*z**4 + 13*z**3 + 2*z**5 - z**4 - g*z**2 - 3*z + 2.
(z - 2)*(z - 1)**3*(2*z + 1)
Let m be (0 - (-5)/20)/(10/24). Let 0 + m*j**3 - 1/5*j**4 - 3/5*j**2 + 1/5*j = 0. Calculate j.
0, 1
Let y(q) be the first derivative of 2*q**5 + 3*q**4/2 - 14*q**3/3 - 3*q**2 + 4*q + 11. Factor y(a).
2*(a - 1)*(a + 1)**2*(5*a - 2)
Let i(l) = -l**3