 second derivative of q(m). Factor u(c).
-3*(c - 2)*(c - 1)
Let z(s) = 303*s - 37872. Let n be z(125). Determine f, given that 16/13 + 12/13*f - 6/13*f**2 - 2/13*f**n = 0.
-4, -1, 2
Let y(b) be the first derivative of 2*b**3/45 + 46*b**2/15 + 32*b + 608. Factor y(k).
2*(k + 6)*(k + 40)/15
Let i(n) be the first derivative of 49*n**3/3 - 28*n**2 - 20*n + 460. Solve i(c) = 0 for c.
-2/7, 10/7
Determine y, given that 11*y**2 + 64 - 128*y + 53*y + 76 - 154 = 0.
-2/11, 7
Let y(m) be the first derivative of -m**4/4 + 106*m**3/3 - 2585*m**2/2 - 12100*m + 2733. Factor y(c).
-(c - 55)**2*(c + 4)
Let s = 812 + -754. Solve -89*g + s*g + 3*g**2 - 238 + 355 - 89*g = 0 for g.
1, 39
Let j(n) be the first derivative of -n**3/2 - 1617*n**2/2 - 3231*n/2 - 3022. Find a such that j(a) = 0.
-1077, -1
Let s(j) = j**4 + j**3 + j**2. Let y(h) = -h**5 + 5*h**4 - 13*h**3 + 7*h**2. Let p be 6/18 - ((-16)/6 + -2). Let t(q) = p*s(q) + 5*y(q). Factor t(x).
-5*x**2*(x - 2)**3
Let n(t) = 14*t**2 + 94*t + 80. Let o be 12*1*(-1)/4. Let x(w) = -5*w**2 - 31*w - 26. Let r(i) = o*n(i) - 8*x(i). Determine g so that r(g) = 0.
-16, -1
Let p be 6*7*1/875. Let t = 304/1125 - p. What is i in 4/3 + 38/9*i + 34/9*i**2 - 2/3*i**4 + t*i**3 = 0?
-1, -2/3, 3
Let p(a) be the first derivative of -28*a**3/9 - 871*a**2/3 - 124*a + 11834. Factor p(j).
-2*(j + 62)*(14*j + 3)/3
Let m(d) be the second derivative of d**5/4 + 25*d**4/3 - 215*d**3/6 + 55*d**2 + 56*d - 5. Determine b so that m(b) = 0.
-22, 1
Let g be ((-3)/(-1) + 13)*2. Let a = -30 + g. Factor -3*x**a + 0*x**3 + x**3 + 6*x**2 + 2*x.
x*(x + 1)*(x + 2)
Suppose 5*v = 5*s + 55, -s + 7162 - 7121 = 3*v. Factor 1 + n + 1/4*n**s.
(n + 2)**2/4
Suppose -2/7*i**5 - 116/7*i**2 + 218/7*i + 24 - 52/7*i**4 - 216/7*i**3 = 0. What is i?
-21, -4, -1, 1
Let x(r) be the first derivative of r**5/30 + 2*r**4/3 - 3*r**3 - r**2/2 - 4*r - 90. Let h(a) be the second derivative of x(a). Find j such that h(j) = 0.
-9, 1
Let a = -2440239/17 + 143547. Solve a*o + 16/17 + 14/17*o**2 = 0.
-4, -2/7
Suppose 0 = -123*m + 113*m. Let k(t) be the first derivative of t**3 + 3/16*t**4 + 9/8*t**2 - 12 + m*t. Suppose k(h) = 0. What is h?
-3, -1, 0
Let i = -63 + 15. Let m = -42 - i. Find f, given that -f**2 + 2*f + 8*f - m*f = 0.
0, 4
Let o(z) = 4*z + 37. Let h be o(-5). Factor -h*n - 264*n**2 + 2909*n**4 + 166*n**3 - 2933*n**4 + n**5 + 138*n.
n*(n - 11)**2*(n - 1)**2
Suppose h = -5*y - 7 + 2, 0 = -h + 4*y + 13. Suppose h*r = 7 + 3. Factor -4 + 2*n - 2*n**3 + 0*n + n**r + 0*n + 3*n**2.
-2*(n - 2)*(n - 1)*(n + 1)
Let v(q) = -2*q**4 - 141*q**3 - q**2 - q + 1. Let n(y) = 3*y**3 - y**2 - y + 1. Let g(o) = -n(o) + v(o). Factor g(l).
-2*l**3*(l + 72)
Let m(u) be the third derivative of -1/18*u**5 - u**2 + 0*u + 1/108*u**4 + 9 - 1/540*u**6 + 5/9*u**3. Let m(l) = 0. What is l?
-15, -1, 1
Suppose -1979*b - 146 = -2052*b. Find d such that 12/7*d**b - 177/7*d - 45/7 = 0.
-1/4, 15
Let i(l) = -7*l**3 - 587*l**2 + 584*l + 10. Let d(r) = -10*r**3 - 880*r**2 + 876*r + 14. Let c(f) = 5*d(f) - 7*i(f). Let c(g) = 0. What is g?
-292, 0, 1
Let g = -48342 + 48345. Factor 51/4*t**g + 1 - 113/4*t**2 + 5*t.
(t - 2)*(3*t - 1)*(17*t + 2)/4
Let d(l) be the third derivative of 0*l + 4/3*l**3 - 69*l**2 + 7/240*l**5 + 0 + 19/16*l**4. Find y, given that d(y) = 0.
-16, -2/7
Let m(o) be the third derivative of 0 + o**2 + 4*o + 1/240*o**6 + 0*o**3 + 1/1260*o**7 + 1/180*o**5 + 0*o**4. Determine l, given that m(l) = 0.
-2, -1, 0
Let f(v) = 3487*v + 45331. Let y be f(-13). Factor -1/3*g + 1/3*g**3 + 1/3*g**2 - 1/3*g**4 + y.
-g*(g - 1)**2*(g + 1)/3
Factor 46542*h**2 + 1989*h - 195*h - 46539*h**2.
3*h*(h + 598)
Suppose -2653*s + 2645*s - 112 = 0. Let x be (-1140)/114 + (-164)/s. Determine i so that -2/7*i**5 - 16/7*i**3 + 18/7*i + 12/7*i**4 + 0 - x*i**2 = 0.
-1, 0, 1, 3
Let b = 17130 + -17130. Find k such that 0*k + 0*k**2 - 4/5*k**3 - 2/5*k**4 + b + 2/5*k**5 = 0.
-1, 0, 2
Let s(z) = 22*z**5 + 21*z**4 - 8*z**3 - 14*z - 7. Let o(f) = 7*f**5 + 7*f**4 - 2*f**3 - 4*f - 2. Let j(b) = 7*o(b) - 2*s(b). Determine y, given that j(y) = 0.
-1, -2/5, 0
Let g(d) be the first derivative of 12/5*d - 53/5*d**3 - 27/4*d**4 - 6/5*d**2 + 105. Let g(z) = 0. Calculate z.
-1, -2/5, 2/9
Let 208/7*s**4 - 4/7*s**5 - 2592/7*s**3 - 18752/7*s + 11520/7 + 10880/7*s**2 = 0. What is s?
2, 10, 36
Factor 95/4*k**4 - 27*k + 189/4*k**2 + 261/4*k**3 + 0 + 11/4*k**5.
k*(k + 3)**3*(11*k - 4)/4
Let j(z) be the third derivative of -z**6/160 + 69*z**5/80 - 33*z**4/4 + 65*z**3/2 - 824*z**2. Find y, given that j(y) = 0.
2, 65
Let p(z) be the second derivative of -37/20*z**5 - 1/42*z**7 + 0 + 0*z**2 - 5*z**4 - 31*z - 6*z**3 - 1/3*z**6. Solve p(d) = 0 for d.
-3, -2, 0
Let z(n) be the first derivative of 1/25*n**5 - 32/5*n - 7/20*n**4 + 16/5*n**2 + 2/5*n**3 - 40. Factor z(w).
(w - 4)**2*(w - 1)*(w + 2)/5
Suppose 517 = 21*f + 370. Let m(n) = n**2 + 70*n - 534. Let k be m(f). Find a, given that 0*a**4 + 0*a**2 - 1/7*a**3 + 0 + 0*a + 1/7*a**k = 0.
-1, 0, 1
Find y, given that -8837*y - 2385 - 4254 - 2304 - 213 + 4*y**2 - 315*y = 0.
-1, 2289
Let k(b) = -5*b**4 + 408*b**3 + 880*b**2 - 1692*b - 3434. Let v(n) = 2*n**3 + 2*n - 1. Let f(p) = k(p) + 6*v(p). Factor f(h).
-5*(h - 86)*(h - 2)*(h + 2)**2
Let g(r) be the third derivative of r**10/264600 - r**9/5292 + 5*r**8/1764 - 67*r**5/60 - 44*r**2 + r. Let j(h) be the third derivative of g(h). Factor j(y).
4*y**2*(y - 10)**2/7
Let d(o) be the third derivative of 27/40*o**6 - 9/112*o**8 - 1/2*o**4 + 130*o**2 + 0 - 1/35*o**7 + 0*o**3 - 3/5*o**5 + 0*o. Determine g so that d(g) = 0.
-2, -2/9, 0, 1
Suppose -6*a + 3*n + 15 = -3*a, 2*n = 5*a - 19. Let w = 4 - a. Factor -33*t**2 - 3*t**2 + 1 + 33*t**3 - w + 12*t - 9*t**4.
-3*t*(t - 2)*(t - 1)*(3*t - 2)
Factor -8/9 + 2/3*l**2 + 4/9*l**3 - 8/9*l - 2/9*l**4.
-2*(l - 2)**2*(l + 1)**2/9
Let s(t) be the third derivative of 0 - 201*t**2 + 0*t - 20/3*t**4 + 1/15*t**5 - 82/3*t**3. Determine c so that s(c) = 0.
-1, 41
Let c(h) be the first derivative of -h**3/7 + 681*h**2/7 + 2736*h/7 + 8661. Factor c(p).
-3*(p - 456)*(p + 2)/7
Let m(f) = -f**2 - 93*f - 676. Let j be m(-8). Determine x so that -2/9*x**j - 2/3*x**3 + 2/3*x + 2/9*x**2 + 0 = 0.
-3, -1, 0, 1
Let c(y) be the third derivative of -y**8/2856 + 22*y**7/1785 - 193*y**6/1020 + 422*y**5/255 - 460*y**4/51 + 1600*y**3/51 + 32*y**2 + 5*y. Factor c(k).
-2*(k - 5)**2*(k - 4)**3/17
Let n(a) be the first derivative of 142 + 5/6*a**6 + 10*a**2 + 65/4*a**4 + 0*a + 6*a**5 + 20*a**3. Determine w so that n(w) = 0.
-2, -1, 0
Solve -43*w - 40*w**4 + 7 - 15*w**5 + 40*w**3 + 18*w - 37 + 70*w**2 = 0 for w.
-3, -1, -2/3, 1
Let b(f) = -f**3 + 4*f**2 + 12*f + 9. Let d be b(6). Factor -d*v - 13*v + 22*v**2 - 20*v**2.
2*v*(v - 11)
Let t = 170 - 168. Factor 3*u**3 - 67 - u**3 + 3 + 10*u**2 + t*u**2.
2*(u - 2)*(u + 4)**2
Let a(o) be the second derivative of o**5/50 - o**4/20 - 69*o**2/2 - 88*o. Let x(c) be the first derivative of a(c). Let x(q) = 0. What is q?
0, 1
Suppose 4*k + 3*q + 483 = 0, 2*k - 5*q - 141 + 376 = 0. Let i be (-111)/k + 16/(-128). Suppose -i*d + 8/5*d**2 - 6/5 - 2/5*d**4 + 4/5*d**3 = 0. What is d?
-1, 1, 3
Factor -158/9*g**2 + 2/9*g**4 + 16/3*g**3 + 12*g + 0.
2*g*(g - 2)*(g - 1)*(g + 27)/9
Let i(j) be the first derivative of -j**4/38 + 6*j**3/19 + 10*j**2/19 + 222. Factor i(p).
-2*p*(p - 10)*(p + 1)/19
Let z(m) = -19*m**2 - 185*m - 196. Let l(h) = 2*h**2 - h + 2. Let j(k) = 6*l(k) + z(k). Factor j(g).
-(g + 1)*(7*g + 184)
Let t(u) = -u**3 - u**2. Let m be 3/(-9)*2*(7 + -4). Let v(k) = 3*k**3 + 16*k**2 + 44*k + 40. Let a(p) = m*t(p) - v(p). What is j in a(j) = 0?
-10, -2
Suppose -7 + 9 = m. Factor m*g**3 + 2*g**3 + 2*g**3 - 800 + 3*g**3 - 7*g**3 + 720*g + 78*g**2.
2*(g - 1)*(g + 20)**2
Let z be ((-21546)/5985)/(7/(-10)). Factor -z - 3/7*u**2 - 24/7*u.
-3*(u + 2)*(u + 6)/7
Let o(w) be the second derivative of -w**6/45 - 211*w**5/15 - 663*w + 1. Factor o(l).
-2*l**3*(l + 422)/3
Let a = -163 - -175. Find q such that -9*q + q**2 - a*q + 12*q = 0.
0, 9
Suppose 366 = -7*f + 527. Suppose -5*w + f = 4*q, -18*q + 7 = w - 16*q. Factor -3/5*s**w - 6/5*s**2 + 0 + 9/5*s.
-3*s*(s - 1)*(s + 3)/5
Find v, given that 2*v**4 + 16*v + 0*v**2 - 6*v + 4*v**2 - 34*v + 14*v**3 - 56*v = 0.
-5, -4, 0, 2
Let z(b) be the third derivative of 4*b**7/105 + 73*b**6/30 -