derivative of -f**7/42 + 5*f**6/3 - 19*f**5/6 - 25*f**4/3 + 65*f**3/2 - 966*f**2. Find a, given that z(a) = 0.
-1, 1, 39
Let n = 3865 - 3865. Factor n - 1/7*u**3 + 8/7*u**2 - 16/7*u.
-u*(u - 4)**2/7
Let s = -183 + 187. Let h(l) be the second derivative of 1/80*l**6 - 3/16*l**3 - 3/160*l**5 + 0 + 0*l**2 + l - 5/32*l**s. Let h(t) = 0. What is t?
-1, 0, 3
Let x(n) be the second derivative of -n**5/35 + 2*n**4/7 + 50*n**3/21 + 36*n**2/7 - 956*n. Find t such that x(t) = 0.
-2, -1, 9
Let o(c) = c**3 - 60*c**2 + 278*c - 161. Let g be o(55). Suppose 0*q + 0 - 10/7*q**3 - 6/7*q**g - 4/7*q**2 = 0. What is q?
-1, -2/3, 0
Let o(r) be the third derivative of -r**5/24 - 55*r**4/48 - 25*r**3/6 + 59*r**2. Factor o(q).
-5*(q + 1)*(q + 10)/2
Suppose 321*p - 320*p = 5. Let j(b) be the third derivative of 1/6*b**4 + 7*b**2 + 0*b + 0 - 1/6*b**p + 0*b**3. Suppose j(s) = 0. What is s?
0, 2/5
Let w(q) = -19*q - 51. Let j be w(-3). Let x(p) be the first derivative of 18*p**2 - 4 + 3/4*p**4 - j*p**3 - 24*p. Find l such that x(l) = 0.
2
Let b = 17 + -11. Find j, given that -b*j**2 - 32 + 24 - 4*j**2 - 18*j = 0.
-1, -4/5
Let z(u) be the first derivative of u**4/10 + 26*u**3/15 + 48*u**2/5 + 72*u/5 - 22. Suppose z(q) = 0. What is q?
-6, -1
Let b(z) be the second derivative of -z**6/70 + 9*z**5/70 + 4*z**4/7 - 17*z - 1. Factor b(w).
-3*w**2*(w - 8)*(w + 2)/7
Let b(v) be the first derivative of 1/30*v**4 + 14/75*v**6 - 17/50*v**5 - 6 + v + 0*v**2 + 2/15*v**3. Let u(g) be the first derivative of b(g). Solve u(l) = 0.
-2/7, 0, 1/2, 1
Let z(v) be the first derivative of v**3 + 39*v**2/2 + 1035. Factor z(w).
3*w*(w + 13)
Let o(k) = 5*k - 55. Let p be o(12). Let h(z) = -2*z**2 + 8*z + 10. Let a be h(p). Suppose a + 1/5*v + 1/5*v**2 = 0. Calculate v.
-1, 0
Let n be (130/(-14) - 1)/(3/(-21)). Let y = 76 - n. Factor -2/11*t**2 + 2/11*t**3 + 2/11*t**y + 0 - 2/11*t**5 + 0*t.
-2*t**2*(t - 1)**2*(t + 1)/11
Let x(o) = -3*o - 10. Let h be x(-4). Factor 2*g**4 + 4*g + 0*g**2 + 12*g**3 + 12*g**h + 2*g**4.
4*g*(g + 1)**3
Let z(r) be the second derivative of r**7/294 - 11*r**6/210 - 122*r. Factor z(l).
l**4*(l - 11)/7
Factor 40*b - 800 - 1/2*b**2.
-(b - 40)**2/2
Let a = -117 - -121. Let x(j) be the third derivative of 0 + 9/2*j**3 + 3/20*j**5 - 1/120*j**6 + 0*j - j**2 - 9/8*j**a. Suppose x(g) = 0. What is g?
3
Let s(o) be the second derivative of o**6/135 + o**5/30 - o**4/18 - 11*o**3/27 - 2*o**2/3 + 90*o. Find g, given that s(g) = 0.
-3, -1, 2
Suppose -2*j = -11*j + 90. Let 6 + 5*g**3 + j*g**2 - 15 - 17 - 4 - 25*g = 0. What is g?
-3, -1, 2
Let k be (-3996)/(-2331)*(-84)/(-10). Factor k - 156/5*u + 4/5*u**4 - 36/5*u**3 + 116/5*u**2.
4*(u - 3)**2*(u - 2)*(u - 1)/5
Let g(n) = n**2 - 4*n**2 + 2*n**2. Let k(i) = i**2. Let v be 15/165 - 69/33. Let u(y) = v*g(y) - 5*k(y). Find r such that u(r) = 0.
0
Let p(a) be the third derivative of -a**8/168 + 3*a**7/140 - a**6/120 + 31*a**2. Let p(w) = 0. Calculate w.
0, 1/4, 2
Suppose 6*p + 1047 - 1065 = 0. Factor 16/11*m**2 + 4/11 - 4/11*m**p - 14/11*m + 2/11*m**5 - 4/11*m**4.
2*(m - 1)**4*(m + 2)/11
Let w(f) be the first derivative of 1/12*f**3 - 1/2*f**2 - 4 + 3/4*f. Factor w(y).
(y - 3)*(y - 1)/4
Let r(x) be the second derivative of -x**6/225 + 11*x**5/150 + 10*x + 2. Factor r(j).
-2*j**3*(j - 11)/15
Let h(j) be the second derivative of j**7/63 - j**5/15 + j**3/9 - 127*j. Let h(k) = 0. Calculate k.
-1, 0, 1
Let k be 21/(-2)*96/(-56). Let l be (1 + k/(-14))*(30 - 37). Solve 30/7*q**2 - l*q + 2/7 + 8/7*q**4 - 26/7*q**3 = 0 for q.
1/4, 1
Let o = 49906/6305 + -1696/97. Let f = -114/13 - o. Let 4/5*i**2 + 1/5*i**3 + 0 + f*i = 0. What is i?
-2, 0
Let s(d) = -d**2 - d - 2. Let x(z) be the first derivative of -z**4/4 + 6*z**3 - 79*z**2/2 + 66*z - 15. Let i(p) = 2*s(p) + 2*x(p). What is n in i(n) = 0?
1, 8
Let s = 137 + -163. Let h be (-58)/(-138) - s/(-299). Factor h*c**2 + 1/3*c**3 - 1/3 - 1/3*c.
(c - 1)*(c + 1)**2/3
Let u(b) be the first derivative of b**8/3780 + b**7/1890 - 2*b**6/405 - 2*b**5/135 - 19*b**3/3 + 1. Let m(t) be the third derivative of u(t). Factor m(r).
4*r*(r - 2)*(r + 1)*(r + 2)/9
Let u be 2/(-5) + (-1)/(20/(-88)). Solve 3 + 7 + 8*q + 2 - 16*q - u*q**2 = 0.
-3, 1
Let j(a) be the first derivative of 3*a**4/20 - 43*a**3/5 + 249*a**2/10 - 123*a/5 + 66. Factor j(y).
3*(y - 41)*(y - 1)**2/5
Let n(a) be the first derivative of -a**6/720 + a**5/48 - a**4/8 - 4*a**3 + 2. Let v(i) be the third derivative of n(i). Factor v(b).
-(b - 3)*(b - 2)/2
Factor 5*n - 75/2 - 1/6*n**2.
-(n - 15)**2/6
Let g(u) be the first derivative of 6*u**5/5 + 4*u**4 + 2*u**3 - 2*u**2 + 127. Factor g(f).
2*f*(f + 1)*(f + 2)*(3*f - 1)
Factor 1 + 0*x**2 - 5*x**2 - 14 + 14*x + 4*x**2.
-(x - 13)*(x - 1)
Let c(i) be the first derivative of 5*i**7/168 - i**6/6 + i**5/4 - 27*i + 20. Let z(f) be the first derivative of c(f). Factor z(a).
5*a**3*(a - 2)**2/4
Let o(h) = 15*h + 32*h**2 + 34*h**2 - 67*h**2 - 6*h - 26. Let n(c) = -10*c + 25. Let p(w) = 6*n(w) + 5*o(w). Factor p(m).
-5*(m - 1)*(m + 4)
Let d = -42728/3 - -14244. Factor 2/3*f**4 + 0*f**3 - 2*f**2 - d*f + 0.
2*f*(f - 2)*(f + 1)**2/3
Let c(n) = n**3 + n**2 - 2*n. Let x be c(2). Suppose 15*z = x*z + 21. Determine y so that 1/3*y**4 + 1/3*y**2 + 0 + 2/3*y**z + 0*y = 0.
-1, 0
Let q(n) = 6*n**2 - n + 1. Let k(y) = 33*y**2 - 404*y + 5. Let s(p) = k(p) - 5*q(p). Factor s(o).
3*o*(o - 133)
Let g(c) be the third derivative of -c**6/24 + c**5 - 25*c**4/6 + 260*c**2. Factor g(v).
-5*v*(v - 10)*(v - 2)
Let z be (19/(-19)*3)/(6/(-2) - 6). Factor -w**2 + 0*w + 0 + z*w**4 + 2/3*w**3.
w**2*(w - 1)*(w + 3)/3
Let s(v) be the third derivative of v**5/90 - 5*v**4/36 + 147*v**2. Solve s(u) = 0 for u.
0, 5
Let q be (0 - -12) + -5 + 6/2. Let c be (-20)/q*(1 + -2 - 0). Factor 11/4*t + 3/4*t**4 + 1/2 + 13/4*t**3 + 19/4*t**c.
(t + 1)**2*(t + 2)*(3*t + 1)/4
Let u(r) be the third derivative of 34*r**2 + 0*r**7 + 1/75*r**5 + 1/5*r**4 + 0*r + 1/840*r**8 - 8/15*r**3 - 7/300*r**6 + 0. Solve u(n) = 0.
-2, 1, 2
Suppose 6*d - 4*d = 52. Let u = d + -21. Factor -m - 2 + 0*m**3 + m**2 - 4*m**3 + u*m**3 + 1.
(m - 1)*(m + 1)**2
Factor -843 + 843 - 4*q**2 + 20*q**2 - 4*q**4.
-4*q**2*(q - 2)*(q + 2)
Suppose -k + 4*s + 7 + 4 = 0, 0 = -2*k - 5*s - 4. Let 5*u - 9*u**2 + 7 - 19 + 17*u + k*u**2 = 0. Calculate u.
2/3, 3
Let k(s) be the second derivative of -s**6/180 - s**5/12 + 5*s**3/6 + 4*s. Let q(t) be the second derivative of k(t). Factor q(l).
-2*l*(l + 5)
Suppose 500*v**2 + 70/9*v**4 - 860/9*v**3 - 2/9*v**5 + 1014 - 1170*v = 0. Calculate v.
3, 13
Let t(m) be the second derivative of -m**4/36 - 35*m**3/9 - 1225*m**2/6 + 38*m + 2. Factor t(d).
-(d + 35)**2/3
Let m(h) be the third derivative of h**5/210 - 17*h**4/14 + 101*h**3/21 - h**2 + 128*h. Let m(k) = 0. What is k?
1, 101
Factor -21/5*a**2 - 6/5*a**3 + 21/5*a + 36/5.
-3*(a + 1)*(a + 4)*(2*a - 3)/5
Let f(v) be the second derivative of 5*v**4/36 - 95*v**3/6 + 140*v**2/3 - 13*v - 1. Let f(k) = 0. Calculate k.
1, 56
Factor -2/9*b**4 + 40/9*b + 38/9*b**2 + 0 - 4/9*b**3.
-2*b*(b - 4)*(b + 1)*(b + 5)/9
Let d(l) = -33*l**2 + 2*l + 12. Let i(a) = 32*a**2 - a - 9. Let z(f) = -3*d(f) - 4*i(f). Suppose z(u) = 0. What is u?
-2/29, 0
Let f(g) be the second derivative of 3*g**5/20 + 13*g**4/4 + 16*g**3 + 30*g**2 - 193*g. Find j such that f(j) = 0.
-10, -2, -1
Factor 0 - 1/2*a**5 - 4*a**3 + 0*a**2 - 9/2*a**4 + 0*a.
-a**3*(a + 1)*(a + 8)/2
Suppose -4*l = 5*j - 45, -17*j - 4*l + 35 = -14*j. Factor 0*x + 0 - 4/7*x**j + 4/7*x**2 - 12/7*x**3 + 12/7*x**4.
-4*x**2*(x - 1)**3/7
Let s = -17902/3 - -5968. Solve 24 + s*u**2 - 8*u = 0.
6
Let y be (-1056)/99*21/(-196). Determine v so that 0 + 2/7*v**2 + 6/7*v**4 - y*v**3 + 0*v = 0.
0, 1/3, 1
Suppose -128/3 - 56*b**2 - 20/3*b**3 - 128*b = 0. Calculate b.
-4, -2/5
Let r(v) = -v**2 - 3*v - 2. Let h(c) be the first derivative of -c**2/2 - c + 18. Let k = -4 - -6. Let m(x) = k*h(x) - r(x). Factor m(z).
z*(z + 1)
Factor 407*o - 185*o + 2*o**3 - 5 - 207*o - 15*o**2 + 3*o**3.
5*(o - 1)**3
Let k = -2401 + 7205/3. Let g = 3 - 3. Factor 2/3*m**3 + g + 4/3*m**2 + k*m.
2*m*(m + 1)**2/3
Let r(g) = -11*g**2 + 92*g - 2121. Let b(c) = 2*c**2 + 1. Let x(k) = 5*b(k) + r(k). Factor x(w).
-(w - 46)**2
Suppose 5*v - 4*v = 6. Factor -4*r - 185*r**2 - v - 180*r**2 + 367*r**2.
2*(r - 3)*(r + 1)
Let u = -4551/7 + 1