derivative of f(w). Factor s(o).
-4*o*(o - 1)*(4*o + 1)
Let j(g) be the second derivative of 30*g + 0*g**2 - 7/60*g**5 - 1/9*g**3 + 1/45*g**6 + 7/36*g**4 + 0. Find z, given that j(z) = 0.
0, 1/2, 1, 2
Let y(o) be the third derivative of o**5/15 + 2*o**4 + 40*o**3/3 + 271*o**2. Determine v so that y(v) = 0.
-10, -2
Let u(g) be the first derivative of 8*g**5/65 + 44*g**4/39 - 47*g**3/39 + 6*g**2/13 - 20*g + 17. Let y(o) be the first derivative of u(o). Solve y(z) = 0 for z.
-6, 1/4
Let t(u) = -u**5 - u**3 - u**2 + u + 1. Let g = -90 - -91. Let d(b) = 8*b**5 - 5*b**4 + 3*b**3 + 3*b**2 - 3*b - 3. Let z(k) = g*d(k) + 3*t(k). Solve z(a) = 0.
0, 1
Factor 5*d**2 + 6*d + 60 - 9*d - 32*d.
5*(d - 4)*(d - 3)
Let z be (-7)/(-1) + (14 - 17). Solve -7*b + 4*b**3 + 7*b - 4*b**z - 4*b + 3*b**2 + b**2 = 0.
-1, 0, 1
Factor -448 - 1/7*x**2 + 16*x.
-(x - 56)**2/7
Let a = -22 - -45/2. Let m be (-12)/(-3)*1 - (-77)/(-22). Determine c, given that -m - a*c**2 + c = 0.
1
Suppose 0*h - 80 = -5*h. Let p = -13 + h. Factor -u**2 + 2*u**p - 3*u**3 + u**4 + 0*u**3 + u + 0*u**3.
u*(u - 1)**2*(u + 1)
Let w(o) be the second derivative of 2*o**7/21 + 4*o**6/5 + 4*o**5/5 - 2*o**4 - 10*o**3/3 + 35*o. Find x, given that w(x) = 0.
-5, -1, 0, 1
Let -4/5*r**3 + 0 - 8/15*r**2 - 2/15*r**5 - 2/15*r - 8/15*r**4 = 0. What is r?
-1, 0
Let t be 1/(((-20)/(-4))/25). Let v(a) be the first derivative of 7*a**5 - 25*a**3 - 1 - 9*a**2 - t*a + 9*a**5 + 10*a**4 - 11*a**2. Find r, given that v(r) = 0.
-1, -1/4, 1
Let q(v) be the first derivative of v**3/3 + v**2 - 3*v - 76. Solve q(t) = 0.
-3, 1
Factor 10*k**3 + 160 + 113*k + 173*k + 6*k**3 + 54*k + 160*k**2 - k**3.
5*(k + 2)*(k + 8)*(3*k + 2)
Let w(q) be the second derivative of -27*q**6/10 + 18*q**5 - 118*q**4/3 + 80*q**3/3 - 8*q**2 + 32*q. Determine p so that w(p) = 0.
2/9, 2
Let o = -12 - -4. Let b = o + 13. Suppose -50*c**2 + 70*c**4 + 9*c**3 + 10*c**3 - 44*c - 8 + 25*c**b + 2*c**2 - 14*c**2 = 0. Calculate c.
-2, -1, -2/5, 1
Let u(b) be the third derivative of b**5/180 - 3*b**4/2 + 162*b**3 - b**2 + 6*b. Factor u(j).
(j - 54)**2/3
Suppose 5*j = 5*i - 180, -4*i + 2*j = -j - 148. Let p = i - 13. Find n such that -7*n**3 + 12*n**4 - p*n + 33*n**3 - 6 + n**3 - 6*n**2 = 0.
-2, -1, -1/4, 1
Let b(x) be the second derivative of 0 + 1/3*x**4 - 8/3*x**3 + 8*x**2 + 20*x. Factor b(k).
4*(k - 2)**2
Suppose 0 = -2*n + 2*f + 2, -7 = -5*n + 4*f + 2. Let -8*a + 5*a**2 + 3*a - 10*a**3 - n*a**4 + 15*a = 0. What is a?
-2, -1, 0, 1
Let j(x) = -x**2 - 6*x + 9. Let u be j(-7). Suppose 0 = -o + u - 0. Solve -14*l**3 - l**3 - 10*l**o + 4*l - 17*l**3 - 18*l**4 = 0 for l.
-1, 0, 2/9
Let z(l) be the first derivative of -5*l**4/4 + 560*l**3 - 94080*l**2 + 7024640*l + 319. Solve z(c) = 0.
112
Suppose -3*i = -4*w - 0*w + 22, -2*w + 5*i + 18 = 0. Let 0*d**3 - 2/3*d**w + 2 + 4*d**2 + 16/3*d = 0. What is d?
-1, 3
Let i(g) = -2*g + 76. Let u be i(36). Let t(p) be the second derivative of -7*p + u*p**2 + 2*p**3 + 1/3*p**4 + 0. Factor t(h).
4*(h + 1)*(h + 2)
Factor 6*c - 7 - 3/4*c**2 - 1/4*c**3.
-(c - 2)**2*(c + 7)/4
Let h = -20312 - -142194/7. Factor h*t - 6/7*t**3 + 12/7 - 16/7*t**2.
-2*(t - 1)*(t + 3)*(3*t + 2)/7
Let i(d) be the second derivative of d**5/20 - 11*d**4/12 + 31*d**3/6 - 21*d**2/2 - d - 10. Let i(h) = 0. Calculate h.
1, 3, 7
Factor -2*i**3 - 16213*i**2 + 16239*i**2 - 104*i - 2 + 122.
-2*(i - 6)*(i - 5)*(i - 2)
Let o(k) be the third derivative of 2*k**7/21 - k**6/2 - 47*k**5/12 + 35*k**4/2 + 490*k**3/3 + k**2 + 254. Suppose o(c) = 0. Calculate c.
-2, 7/2
Determine j so that -2/9*j**3 + 2/9*j**2 + 16/9 + 20/9*j = 0.
-2, -1, 4
Let s(l) = -l**3 - 19*l**2 - 22*l - 17. Let p be s(-19). Let b = p + -2801/7. Factor -2/7*r**2 - b*r + 0.
-2*r*(r + 3)/7
Let t(j) = -j**3 + j + 2. Let q(w) = -5*w**3 + 8*w**2 - 7*w + 10. Let n(m) = -2*q(m) + 6*t(m). Factor n(z).
4*(z - 2)*(z - 1)**2
Let w(y) be the second derivative of 3*y**5/40 - 15*y**4/4 + 297*y**3/4 - 726*y**2 - 27*y + 10. Let w(o) = 0. Calculate o.
8, 11
Factor n**3 + 3 - 5*n**2 + 3*n**2 - 3*n**2 - 3.
n**2*(n - 5)
Let c(g) be the third derivative of 0*g - 11/20*g**6 + 0 + 0*g**4 + 121/70*g**7 + 1/20*g**5 - 8*g**2 + 0*g**3. Factor c(l).
3*l**2*(11*l - 1)**2
Let h(y) = y**2 + y. Let b(p) = -1. Let i(a) = -5*a**2 - 92*a - 669. Let v(u) = -6*b(u) - i(u). Let x(m) = -2*h(m) + v(m). Factor x(z).
3*(z + 15)**2
Let o(a) be the second derivative of a**7/126 + 11*a**6/90 + 17*a**5/30 + 7*a**4/18 - 35*a**3/18 - 25*a**2/6 - 358*a. Find m, given that o(m) = 0.
-5, -1, 1
Let b(f) be the first derivative of -4/3*f**3 + 4*f**2 + 0*f - f**4 - 6. Determine h so that b(h) = 0.
-2, 0, 1
Factor -24/5 + 3/5*x**2 - 6/5*x.
3*(x - 4)*(x + 2)/5
Let b = -3680 + 3683. What is g in 1/7*g**4 + 0 + 0*g - 2/7*g**b + 1/7*g**2 = 0?
0, 1
Let j(d) be the second derivative of d**5/48 + 55*d**4/48 + 605*d**3/24 + 16*d**2 - 35*d. Let r(s) be the first derivative of j(s). Factor r(x).
5*(x + 11)**2/4
Let a(p) be the first derivative of p**6/3 - 3*p**4/2 - 4*p**3/3 + 5. Factor a(i).
2*i**2*(i - 2)*(i + 1)**2
Let p(j) be the third derivative of -j**5/150 - 2*j**4/3 - 140*j**2. Find w, given that p(w) = 0.
-40, 0
Let m(g) be the second derivative of g**7/98 - 11*g**6/70 - 6*g**5/35 + 7*g**4 + 32*g**3 + 384*g**2/7 + 121*g. Find r such that m(r) = 0.
-2, -1, 8
Suppose 0 = 9*n + 40 - 157. Suppose -26 - 96*l**2 - 18*l**3 + 16*l + n - 19 - 120*l = 0. Calculate l.
-4, -2/3
Let v(f) be the first derivative of 0*f**4 + 1/18*f**3 + 5*f**2 + 0*f - 1/180*f**5 + 11. Let n(a) be the second derivative of v(a). Factor n(c).
-(c - 1)*(c + 1)/3
Let t(f) = -f**3 + 7*f**2 - 2*f + 4. Let p be t(6). Let q = 32 - p. Factor 0 - 1/7*w**q + 0*w - 1/7*w**3 + 0*w**2.
-w**3*(w + 1)/7
Let n(x) be the first derivative of -4*x**3/9 + 2*x**2/3 - x/3 - 24. Suppose n(i) = 0. Calculate i.
1/2
Let z be 30/(-84)*-5 + (5 - 3)/(-4). Let 15/7*c**2 - z*c - 3/7*c**4 + 0 - 3/7*c**3 = 0. Calculate c.
-3, 0, 1
Suppose -16*x = -5*x + 11. Let h be 5 - 7 - 6/x. Let 5/2*q**3 + 0 + 1/2*q + q**h + 2*q**2 = 0. What is q?
-1, -1/2, 0
Let n(s) be the third derivative of -s**8/5040 + s**7/630 + 2*s**6/45 + s**5/4 + 22*s**2. Let k(l) be the third derivative of n(l). Factor k(w).
-4*(w - 4)*(w + 2)
Let g(j) be the second derivative of j**4/72 + 185*j**3/18 + 34225*j**2/12 + 152*j. Let g(n) = 0. What is n?
-185
Let a be 1 + 16*(-4)/(-8). Solve -a*l - 64*l**2 - 9 + 17*l - 3*l + 43*l = 0.
3/8
Suppose -v = 4*z + 16 + 66, -z = -3*v + 27. Let x be -1*(-7)/(z/(-9)). Determine k so that -1/5 + 1/5*k**x - 1/5*k + 1/5*k**2 = 0.
-1, 1
Let j(w) = -5 - 2*w - 5*w + 0*w + 12 + w**2. Let y be j(-5). Factor y + 0*m**2 - 72 + 5*m**2.
5*(m - 1)*(m + 1)
Factor -58*i + 6*i + 35*i**3 + 62*i - 100 + 410*i - 255*i**2.
5*(i - 5)*(i - 2)*(7*i - 2)
Suppose 6*d = -7*d + 39. Let c(h) be the first derivative of -2*h + 3/2*h**2 + 5/3*h**d - 5. Suppose c(m) = 0. Calculate m.
-1, 2/5
Let a = 10568/12313 + -2/1759. Factor 0*p + 2/7*p**4 - a*p**2 + 4/7*p**3 + 0.
2*p**2*(p - 1)*(p + 3)/7
Suppose 19*i = -0*i + 3*i. Let f(l) be the third derivative of i*l + 1/600*l**6 - 1/120*l**4 + 7*l**2 + 0 - 1/1050*l**7 + 0*l**3 + 1/300*l**5. Factor f(n).
-n*(n - 1)**2*(n + 1)/5
Let n(r) be the first derivative of 2*r**3/27 - 5*r**2/9 + 4*r/3 + 74. Factor n(d).
2*(d - 3)*(d - 2)/9
Let q(u) be the third derivative of u**7/105 - u**6/10 - u**5/10 + 4*u**4/3 + 4*u**3 + 5*u**2. Factor q(z).
2*(z - 6)*(z - 2)*(z + 1)**2
Let f(b) be the third derivative of -1/90*b**5 + 0*b**4 + 0*b + 0 + 0*b**3 + 1/360*b**6 - 4*b**2. Let f(l) = 0. Calculate l.
0, 2
Let c = 9341 + -8229423/881. Let z = 10582/4405 + c. Factor 2/5*v**2 + 18/5 - z*v.
2*(v - 3)**2/5
Let v(y) be the second derivative of -y**7/70 - y**6/40 - 11*y**2/2 + 15*y. Let b(i) be the first derivative of v(i). Suppose b(s) = 0. Calculate s.
-1, 0
Let x(k) be the first derivative of k**7/2100 - k**6/600 + k**5/600 - 3*k**2/2 + 3. Let n(f) be the second derivative of x(f). Determine l so that n(l) = 0.
0, 1
Let v(o) = 5*o + 17. Let a be v(-3). What is h in -7 - 5 + 10*h - 8*h**a + 6*h**2 = 0?
2, 3
Find m, given that 9/8*m**5 + 0 + 1/2*m**2 - 11/8*m**4 + 0*m - 2*m**3 = 0.
-1, 0, 2/9, 2
Let v(b) be the first derivative of b**6/1980 - b**5/165 + b**4/44 + 4*b**3/3 - 3. Let z(a) be the third derivative of v(a). Factor z(m).
2*(m