 g(k) be the second derivative of s(k). Factor g(v).
4*v*(v - 1)**2/9
Let b(a) = a + 7 - 4*a + 5*a + 13*a**2. Let c(m) = -2*m**3 + 2*m - 1. Let u be c(-2). Let s(v) = 7*v**2 + v + 4. Let y(o) = u*s(o) - 6*b(o). Factor y(g).
-(g - 1)*(g + 2)
Let f be (-2)/(3*(-4)/12). Let -4*o**4 + f + 3*o**2 + 5*o**4 + 7*o + 0*o + 6*o**2 + 5*o**3 = 0. What is o?
-2, -1
Let x(t) be the third derivative of t**7/1575 - 7*t**6/900 + 6*t**2. Let x(h) = 0. What is h?
0, 7
Let d(g) = -g**2 + 60*g + 128. Let a be d(62). Let b(y) be the third derivative of 1/30*y**5 - 13*y**2 + y**3 + 0*y + 1/3*y**a + 0. Let b(f) = 0. Calculate f.
-3, -1
Let h = 168886/5 + -33641. Let t = 137 - h. Find z, given that -2/5*z + 0 - 7/5*z**2 + t*z**3 = 0.
-1/4, 0, 2
Let d(t) be the second derivative of 4*t + 4/15*t**3 - 2*t**2 - 49/300*t**6 + 7/50*t**5 + 2/5*t**4 + 0. Let i(f) be the first derivative of d(f). Factor i(w).
-2*(w - 1)*(7*w + 2)**2/5
Let u = -6 + 9. Suppose -r + u = -1. Determine p, given that -3*p**5 - 4 - 8*p + p**4 + 5*p**3 + 2*p**5 - 4*p**5 - p**2 + r*p**5 = 0.
-1, 2
Let a(t) be the second derivative of -t**7/210 + t**5/60 - 6*t**2 + 2*t. Let g(x) be the first derivative of a(x). Factor g(l).
-l**2*(l - 1)*(l + 1)
Let t(z) = -8*z**2 + 432*z + 3. Let g(l) = 9*l**2 - 431*l - 4. Let r(s) = -3*g(s) - 4*t(s). Factor r(a).
5*a*(a - 87)
Let 10*j**3 + 2*j**3 + 86*j + 79*j + 4*j**2 - 173*j = 0. What is j?
-1, 0, 2/3
Suppose v - 1039 = -0*v. Let 8 - 304*p + v*p**2 + 405*p**2 + 8 = 0. What is p?
2/19
Let q(r) be the second derivative of -r**6/10 + 9*r**5/4 - 27*r**4/4 + 13*r**3/2 - 229*r. Factor q(v).
-3*v*(v - 13)*(v - 1)**2
Let t be (10/25)/(2/10). Factor -2*n**2 + 32*n**5 - n**3 - 31*n**5 - t*n**4 + 4*n**2.
n**2*(n - 2)*(n - 1)*(n + 1)
Let k(c) be the first derivative of c**3/6 - 9*c**2/4 + 7*c - 63. Factor k(s).
(s - 7)*(s - 2)/2
Let b(g) be the third derivative of g**6/20 + g**5/15 - 37*g**4/12 + 4*g**3 + g**2 - 30*g. Factor b(c).
2*(c - 3)*(c + 4)*(3*c - 1)
Let n(h) be the third derivative of h**5/105 + 17*h**4/42 - 12*h**3/7 + 7*h**2 - 11. Factor n(c).
4*(c - 1)*(c + 18)/7
Suppose -7 = 23*l + 7*l - 7. Find a, given that -2/9*a**2 + 0*a + l = 0.
0
Let j(m) = -23*m**2 + 1150*m - 66113. Let h(t) = -135*t**2 + 6900*t - 396680. Let x(z) = -6*h(z) + 35*j(z). Factor x(p).
5*(p - 115)**2
Let s(p) be the second derivative of -p**5/20 + 5*p**4/12 - 3*p - 3. Let s(j) = 0. What is j?
0, 5
Let g(a) be the first derivative of -4*a**5/5 + a**4 + 8*a**3/3 - 106. Factor g(l).
-4*l**2*(l - 2)*(l + 1)
Let a(q) be the first derivative of 6*q + 16 - 3/2*q**3 + 6*q**2 + 3/4*q**6 - 3/10*q**5 - 33/8*q**4. What is b in a(b) = 0?
-1, -2/3, 1, 2
Let k(u) be the first derivative of -2/5*u - 5 + 0*u**2 + 2/15*u**3. Suppose k(c) = 0. Calculate c.
-1, 1
Let n be 1 + (-1 - 4/(-180)). Let w(a) be the second derivative of -1/6*a**4 + 4*a + 0 - 1/9*a**3 - 1/10*a**5 + 0*a**2 - n*a**6. Suppose w(m) = 0. Calculate m.
-1, 0
Let c(u) = 75*u - 819. Let b be c(11). Let -b*s - 15 - 3/5*s**2 = 0. Calculate s.
-5
Let f = -9 - -12. Let -15*x**2 + 0*x**2 + 24*x + x**3 + 2*x**f - 11 - 1 = 0. What is x?
1, 2
Find b such that -8*b**3 + 874*b + 42*b**2 - 28 - 405*b - 367*b = 0.
-2, 1/4, 7
Suppose 4*w + 84 = 3*k + k, 5*w = k - 33. Let t = k - 15. Determine g so that -2*g**4 - 5*g + 4*g**t - 2 + g + 4*g**4 = 0.
-1, 1
Let n(i) be the third derivative of 5*i**9/3024 - i**8/336 - i**7/84 + 4*i**3 + 15*i**2. Let a(z) be the first derivative of n(z). Factor a(q).
5*q**3*(q - 2)*(q + 1)
Let c be (85 - 87)*(8/(-13))/(4 + -2). Find d, given that c - 2/13*d**3 + 8/13*d - 2/13*d**2 = 0.
-2, -1, 2
Suppose -k + 161 = 131. Suppose s = 16*s - k. Solve -3/2*w + 2*w**s - 1/2 = 0 for w.
-1/4, 1
Suppose 21*g - 125 = -4*g. Let b(f) be the second derivative of -3*f - 2/3*f**3 - 1/20*f**g + 0*f**2 - 5/12*f**4 + 0. Factor b(t).
-t*(t + 1)*(t + 4)
Let h(y) be the second derivative of -y**4/84 + y**3/7 + 55*y**2/14 + 70*y. Factor h(a).
-(a - 11)*(a + 5)/7
Let k(o) be the third derivative of o**5/24 + 7*o**4/32 + o**3/12 + o**2 - 183*o. Solve k(d) = 0.
-2, -1/10
Let l(q) be the second derivative of 0 + 0*q**2 - 1/210*q**7 + 1/30*q**4 + 1/30*q**3 + 0*q**5 + 7*q - 1/75*q**6. Solve l(i) = 0.
-1, 0, 1
Let v(i) be the first derivative of -1/45*i**5 + 0*i - 1/180*i**6 - 1/36*i**4 + 0*i**3 - 3 + 3*i**2. Let x(w) be the second derivative of v(w). Factor x(c).
-2*c*(c + 1)**2/3
Let i be 5*(6/(-39) - (-2748)/(-390)). Let l be (-270)/i + (0 - 5/1). What is s in -1/2*s**4 - 3/2*s + l*s**2 - 1/2*s**3 + 0 = 0?
-3, 0, 1
Let o(n) be the second derivative of 0*n**2 + 0 - 1/30*n**5 - 7/54*n**4 + n - 2/27*n**3. Factor o(g).
-2*g*(g + 2)*(3*g + 1)/9
Let n(l) be the second derivative of -l**6/1080 + l**5/90 - 10*l**3/3 - 13*l. Let k(x) be the second derivative of n(x). Let k(t) = 0. What is t?
0, 4
Let l(b) be the third derivative of -1/80*b**5 + 5*b**2 - 1/32*b**4 + 0*b + 0 + 0*b**3. Factor l(d).
-3*d*(d + 1)/4
Let i(d) be the third derivative of -2/105*d**7 + 1/4*d**6 - 10*d**2 - 2/15*d**5 - 1/3*d**4 + 0 - 3*d - 5/168*d**8 + 0*d**3. What is u in i(u) = 0?
-2, -2/5, 0, 1
Let d(k) be the second derivative of 17*k + 0 + 1/4*k**2 + 3/8*k**3 + 1/4*k**4 + 1/16*k**5. Factor d(x).
(x + 1)**2*(5*x + 2)/4
Factor 1/4*r**5 - 3/4*r**3 + 0 + 0*r**4 + 0*r - 1/2*r**2.
r**2*(r - 2)*(r + 1)**2/4
Let i be 1517/41 + -44 - 70/(-9). Determine f, given that i*f**3 + 4/3*f + 1/9*f**4 + 16/9*f**2 + 0 = 0.
-3, -2, 0
Let y(g) = -6*g**2 - 18*g - 12. Let m(w) = -17*w**2 - 53*w - 36. Let z(n) = 4*m(n) - 11*y(n). Suppose z(x) = 0. Calculate x.
-6, -1
Let s(d) be the first derivative of d**7/420 + d**6/80 + d**5/120 - d**4/16 - d**3/6 - 5*d**2/2 - 19. Let h(r) be the second derivative of s(r). Factor h(w).
(w - 1)*(w + 1)**2*(w + 2)/2
Let j(k) be the first derivative of 2*k**7/105 - 2*k**6/15 + k**5/5 - 23*k**2/2 - 12. Let z(x) be the second derivative of j(x). Factor z(i).
4*i**2*(i - 3)*(i - 1)
Suppose 0 - 8/5*a**4 + 12/5*a**3 - 8/5*a**2 + 2/5*a**5 + 2/5*a = 0. What is a?
0, 1
Let a(z) be the first derivative of -2/7*z**3 + 2/7*z - 8 + 8/35*z**5 - 2/7*z**2 + 2/7*z**4. Factor a(o).
2*(o + 1)**2*(2*o - 1)**2/7
Let x(q) be the first derivative of q**5/110 - 5*q**4/66 - q**3/33 + 5*q**2/11 + 10*q - 11. Let n(m) be the first derivative of x(m). Factor n(p).
2*(p - 5)*(p - 1)*(p + 1)/11
Let s(w) be the second derivative of -w**5/60 - 5*w**4/36 - 245*w. Factor s(m).
-m**2*(m + 5)/3
Let s(y) be the third derivative of -3*y**2 + 1/360*y**5 - 1/36*y**4 - 5/36*y**3 + 0*y + 0. Solve s(w) = 0.
-1, 5
Let q = -793 + 795. Find u, given that -q - 5/2*u**2 - 6*u = 0.
-2, -2/5
Let m(c) be the first derivative of c**5/20 + 7*c**4/8 + 4*c**3 - 7*c**2/4 - 49*c/4 + 3. Factor m(b).
(b - 1)*(b + 1)*(b + 7)**2/4
Factor 2*i**2 + i**2 + 48 + 20*i + 2*i**2 - 7*i**2.
-2*(i - 12)*(i + 2)
Let -14007/2*v**2 + 41209/6*v**3 + 136*v - 2/3 = 0. Calculate v.
2/203, 1
Suppose -78*z + 229*z = 195 + 107. Suppose 8/9 - 8/3*q + 14/9*q**3 - z*q**2 = 0. Calculate q.
-1, 2/7, 2
Solve -1060/9*n - 5618/9 - 50/9*n**2 = 0 for n.
-53/5
Let x(u) be the third derivative of u**10/8400 - u**9/18900 + u**4/2 + 14*u**2. Let b(i) be the second derivative of x(i). Determine o so that b(o) = 0.
0, 2/9
Let x(a) = a**2 - 45*a - 1298. Let g be x(-20). Factor -3/2*w**3 - 6*w**g + 6 + 3/2*w.
-3*(w - 1)*(w + 1)*(w + 4)/2
Let q be (-5 - -7)/(3/3 + 0). Factor -5*s**2 - 4*s**q + 8 + 2*s**2 - 4*s + 4*s**3 - s**2.
4*(s - 2)*(s - 1)*(s + 1)
Let u(c) be the third derivative of c**7/42 + 61*c**6/24 + 80*c**5 + 375*c**4/2 - 19*c**2 + 18*c. Determine q so that u(q) = 0.
-30, -1, 0
Let f = -370 + 375. Let p(j) be the second derivative of -1/2*j**3 - 1/2*j**4 - 4*j - 3/20*j**f + 0 + 0*j**2. Factor p(y).
-3*y*(y + 1)**2
Let j be -5 + ((-18)/(-2) - 2). Let v(o) be the second derivative of 1/9*o**4 - 2/9*o**3 + 1/15*o**5 + 0 - 2*o - 2/3*o**j. Factor v(a).
4*(a - 1)*(a + 1)**2/3
What is u in 4/13*u**2 - 10/13*u**3 + 8/13*u**4 + 0 - 2/13*u**5 + 0*u = 0?
0, 1, 2
Suppose k - 2*k = -5*d + 13, 5*k - 10 = 0. Factor 67*t + 2*t**3 - 3*t**d + 4*t**2 - 64*t - 2*t**2.
-t*(t - 3)*(t + 1)
Let b(l) be the first derivative of 6 - 18*l**2 - 4/5*l**5 - 20*l**3 + 0*l - 7*l**4. Factor b(t).
-4*t*(t + 1)*(t + 3)**2
Let t(x) = -4*x + 1. Let g(v) = -v. Let k(w) = 4*g(w) + t(w). Let z be k(-5). Fin