 first derivative of 4 + 0*z + 2*z**2 - 8/3*z**3 + z**w. Factor h(m).
4*m*(m - 1)**2
Let b(r) be the second derivative of -r**6/5 - 83*r**5/10 - 93*r**4 + 84*r**3 + 392*r**2 + 14*r + 2. Determine d, given that b(d) = 0.
-14, -2/3, 1
Suppose -5*d + 2*d = -15. Suppose -d*h + 10 = i, i = -i. What is y in -4*y**h - 12*y - 13 + y**2 + y**2 - 5 = 0?
-3
Let s be -3 - (198/(-100) + (-27)/18). Let a(y) be the second derivative of 0 + 8/15*y**3 + 1/5*y**2 + 11/15*y**4 + s*y**5 + 3/25*y**6 - 4*y. Factor a(t).
2*(t + 1)**2*(3*t + 1)**2/5
Factor 28/3 - 2/3*c**3 + 18*c + 8*c**2.
-2*(c - 14)*(c + 1)**2/3
Let p be (48/(-20))/(-4)*5. Suppose -m + 5 = 2*k + 1, 0 = p*m + 12. Factor -k*b**3 - 2 + b**3 + 2*b**3 + 3*b.
-(b - 1)**2*(b + 2)
Let u(c) be the third derivative of c**7/630 + c**6/360 - c**5/90 - 61*c**2. Factor u(r).
r**2*(r - 1)*(r + 2)/3
Let d = -45479/60 + 758. Let a(l) be the third derivative of 1/10*l**3 - 6*l**2 - 1/300*l**5 + 0*l + d*l**4 + 0. Factor a(h).
-(h - 3)*(h + 1)/5
Let d(b) be the second derivative of b**7/126 - b**6/90 - b**5/12 + 5*b**4/36 + 2*b**3/9 - 2*b**2/3 + 266*b + 2. Solve d(t) = 0 for t.
-2, -1, 1, 2
Let s(t) be the third derivative of -t**6/300 + 13*t**4/60 + 4*t**3/5 - 176*t**2 - 2. What is f in s(f) = 0?
-3, -1, 4
Let n(d) be the second derivative of -d**8/36960 - d**7/13860 + d**4 + 4*d. Let y(g) be the third derivative of n(g). Factor y(s).
-2*s**2*(s + 1)/11
Suppose -3*a = 2*a - 225. Find z such that 2*z**4 + 8 + 8*z + 2*z**2 + 23*z**3 + 18*z**3 - a*z**3 - 8*z**2 = 0.
-1, 2
Let x = -4356013/65 - -67151. Let t = x - 674/5. Find o such that 8/13 + t*o + 2/13*o**2 = 0.
-2
Factor -125*y**4 - 3*y**3 - 6*y**3 + 6*y + 3*y**3 - 7 + 128*y**4 + 4.
3*(y - 1)**3*(y + 1)
Let c = -32 + 37. Determine d, given that 19*d**5 - 2*d**4 - 7*d**c + 7*d**4 - 7*d**5 = 0.
-1, 0
Let o(s) be the first derivative of -s**6/16 - 21*s**5/40 - 21*s**4/32 + 15*s**3/8 + 148. Determine k, given that o(k) = 0.
-5, -3, 0, 1
Let w be 8 - (-8 - (-1 - 5)). Let c(y) be the first derivative of 1/8*y**4 - y + 1/3*y**3 - w - 1/4*y**2. Solve c(u) = 0.
-2, -1, 1
Let i(m) be the third derivative of m**6/840 + m**5/42 - 13*m**4/42 + 4*m**3/3 - 14*m**2 - 2. Factor i(z).
(z - 2)**2*(z + 14)/7
Let d(i) be the first derivative of i**3/12 + 3*i**2/2 + 11*i/4 - 450. Factor d(y).
(y + 1)*(y + 11)/4
Let r = 7/1115 - -8871/7805. Determine h, given that -4/7*h**2 - r*h + 0 + 4/7*h**3 = 0.
-1, 0, 2
Let f(i) = -2*i + 20. Let z be f(11). Let m be -1 - (3/z)/((-24)/(-28)). Let m*u**2 + 9/2*u + 27/4 = 0. Calculate u.
-3
Let k(c) be the third derivative of c**5/300 + 119*c**4/60 + 14161*c**3/30 - c**2 + 135. Solve k(a) = 0.
-119
Let w = 1809 - 5411/3. Factor w*h - 4/3*h**2 - 16/3.
-4*(h - 2)**2/3
Factor 5/2*w**4 + 15*w**2 - 10*w + 5/2 - 10*w**3.
5*(w - 1)**4/2
Let t be 6/10 - (-1)/15. Factor 4/3*s**3 + t*s**4 - 4/3*s - 2/3 + 0*s**2.
2*(s - 1)*(s + 1)**3/3
Suppose 10*x**4 + 2*x**2 - 3*x**2 + 5*x**3 + x**2 - 5*x**4 = 0. Calculate x.
-1, 0
Let c be 3/(10/4 + -1). Factor 10 + 0*x**2 - 2*x**2 - 5*x - 3*x**c.
-5*(x - 1)*(x + 2)
Let l(n) be the first derivative of n**6/360 - n**5/180 - n**4/18 + 2*n**3/9 - 27*n**2/2 + 15. Let z(b) be the second derivative of l(b). Factor z(p).
(p - 2)*(p - 1)*(p + 2)/3
Let p(y) be the second derivative of y**4/12 + 4*y**3/3 - 5*y**2/2 + 4*y. Let r be p(-9). Factor -3*j**3 - 2*j**r - 1 + 4*j - 2*j**3 + 3 + j**3.
-2*(j - 1)*(j + 1)**3
Let v(n) be the first derivative of 3/2*n**3 - 7/2*n**2 - 7/8*n**4 + 1/4*n**5 + 1 - 1/40*n**6 + 0*n. Let c(j) be the second derivative of v(j). Factor c(u).
-3*(u - 3)*(u - 1)**2
Suppose 2*y + 4*i + 20 = 0, y - i + 93 = 98. Factor -1/2*x**4 + y*x - 1/2*x**3 + x**2 + 0.
-x**2*(x - 1)*(x + 2)/2
Let c(k) be the second derivative of k**8/2100 + 2*k**7/525 + k**6/90 + k**5/75 + 2*k**3/3 + 4*k. Let q(v) be the second derivative of c(v). Factor q(n).
4*n*(n + 1)**2*(n + 2)/5
Let h be -6 + 30/(-2 + 7). Let c(p) be the third derivative of 0*p + 1/96*p**4 + 0*p**5 - 1/480*p**6 + 0*p**3 + h + 5*p**2. Factor c(u).
-u*(u - 1)*(u + 1)/4
Factor -2/9*s**3 + 16/9*s + 8/3 - 10/9*s**2.
-2*(s - 2)*(s + 1)*(s + 6)/9
Factor 2/7*d + 3*d**3 - 17/7*d**4 + 5/7*d**5 + 0 - 11/7*d**2.
d*(d - 1)**3*(5*d - 2)/7
Let v(d) = -d**2 + 6*d - 8. Let c(a) = -a**2 + 6*a - 7. Let y(k) = -3*c(k) + 2*v(k). What is u in y(u) = 0?
1, 5
Let k = 9 - 6. Let s = 1 + k. Factor -10*d**2 + 5*d**4 + 0 + 2 + 6*d - 2*d**5 + s*d - 5.
-(d - 1)**4*(2*d + 3)
Let p(i) be the first derivative of -1/6*i**4 + 0*i**3 - 1/30*i**6 + 0*i + 2/15*i**5 - 4 + 7/2*i**2. Let h(d) be the second derivative of p(d). Factor h(n).
-4*n*(n - 1)**2
Let z = -12 - -18. Let i be (4/z)/((-8)/(-24)). Let 3*c - 6 + c**2 - 2*c**2 + 7*c**i - 3*c**3 = 0. What is c?
-1, 1, 2
Let h(j) be the second derivative of j**5/20 - 3*j**4 + 54*j**3 + 12*j - 9. Factor h(t).
t*(t - 18)**2
Let z(u) = -2*u**4 + 2*u**3 + 2*u**2 - 2*u + 8. Let m(k) = -2*k**4 + k**3 + 2*k**2 - k + 10. Let n(y) = -4*m(y) + 5*z(y). Factor n(j).
-2*j*(j - 3)*(j - 1)*(j + 1)
Factor 11/2 + 17*l + 3/2*l**2.
(l + 11)*(3*l + 1)/2
Let s = -523765/7 - -74962. Let f = -138 + s. Solve -6/7 - 3/7*m + f*m**2 = 0.
-1, 2
Let j be -6*3/(-6) - 3. Let k(f) be the first derivative of 6*f**3 + j*f**3 - f**2 + 9*f + 7*f**2 - 5 - 5*f**3. Factor k(u).
3*(u + 1)*(u + 3)
Let y(a) be the first derivative of -2/11*a + 2/11*a**2 - 2/33*a**3 - 19. Find f such that y(f) = 0.
1
Let t(c) be the second derivative of c**4/42 - 10*c**3/21 + 17*c. Suppose t(f) = 0. What is f?
0, 10
Let l(k) be the second derivative of 7*k**5/5 + 23*k**4/3 - 44*k**3/3 - 16*k**2 - 55*k. Factor l(n).
4*(n - 1)*(n + 4)*(7*n + 2)
Suppose 13*w + 0*w + 5563*w**2 + 15 - 5565*w**2 = 0. What is w?
-1, 15/2
Let l = 2495 - 2492. Find h, given that 16/5*h**2 + 4/5*h**l + 8/5 + 4*h = 0.
-2, -1
Factor 240*h**3 - h**4 + 12160*h - 2028*h**2 - 80*h**3 - 1476*h**2 - h**4 - 11552.
-2*(h - 38)**2*(h - 2)**2
Let s(f) be the third derivative of -f**6/90 - f**5/30 + f**4/3 - 37*f**3/6 - 24*f**2. Let m(g) be the first derivative of s(g). Factor m(i).
-4*(i - 1)*(i + 2)
Let l be 48/56 + 176/(-238). Factor 2/17*c**4 - 2/17*c**2 - l*c + 2/17*c**3 + 0.
2*c*(c - 1)*(c + 1)**2/17
Suppose 2*g + 0*g + 170 = 4*d, 3*g - 3*d + 249 = 0. Let x = 84 + g. Factor -6*i - 5/2*i**x - 9*i**2 + 4.
-(i + 2)**2*(5*i - 2)/2
Let h(d) be the first derivative of d**3/12 - 33*d**2/8 - 27*d + 701. Factor h(w).
(w - 36)*(w + 3)/4
Suppose 2*m - 2 = -2*j, -6*j + 16 = -10*j. Factor -45*n + 34*n**2 + 20 + 4*n**2 - m*n**3 - 8*n**2.
-5*(n - 4)*(n - 1)**2
What is y in 2/7*y**3 + 14*y + 0 - 4*y**2 = 0?
0, 7
Suppose 11 = 4*i - 9. Suppose -2*j + 8 = -i*c + 58, 0 = 5*j - 25. Factor -c*r**4 - 3 + 4*r**5 - 12*r + 8*r**3 + 7 + 12*r**2 + 0 - 4*r**2.
4*(r - 1)**4*(r + 1)
Let h(n) be the first derivative of -2*n**3/3 + 18*n**2 - 64*n - 178. Find d, given that h(d) = 0.
2, 16
Let w(j) be the third derivative of 1/42*j**7 + 0*j**4 - 1/12*j**5 + 0*j**3 + 0*j + 0 - 5/168*j**8 + 1/12*j**6 + 29*j**2. Let w(l) = 0. What is l?
-1, 0, 1/2, 1
Suppose 32 + 32 = 16*d. Suppose -12*m**3 - 14*m**4 + 2*m**d + 9*m**2 - 4*m**5 - 13*m**2 = 0. Calculate m.
-1, 0
Let m = 39 + 36. Factor -m + 23*o + 8*o - 3*o**2 - o.
-3*(o - 5)**2
Let g(d) = d**2 + 6*d - 1. Let h be g(-8). Suppose -2*f - f + h = 0. Solve 0*q**f + 5*q**5 - 6*q**5 = 0 for q.
0
Let b be 314/240 - ((-30)/(-9) - 2). Let k = 21/40 + b. Factor 3/2*w + 3/2*w**2 + k + 1/2*w**3.
(w + 1)**3/2
Let d = 155 + -151. Let b be (22/d + -7)/(9/(-4)). Factor -2*w - 8/3 + b*w**2.
2*(w - 4)*(w + 1)/3
Let v(a) be the second derivative of a**4/6 + 17*a**3 + 50*a**2 + a + 108. Factor v(r).
2*(r + 1)*(r + 50)
Determine j so that 28*j**3 - 131*j**4 - j**3 - 60*j**2 + 36*j + 128*j**4 = 0.
0, 1, 2, 6
Let x be (-154623)/(-18865) + (-10 - -3). Let n = 2/539 + x. What is i in -12/5*i**2 - n*i**3 - 8/5*i - 1/5*i**4 + 0 = 0?
-2, 0
Let x(j) = -j**2 + j - 1. Let w be ((-18)/(-36))/((-2)/(-4)). Let p(r) = -r**4 + 3*r**3 + 11*r**2 - 9*r + 2. Let f(i) = w*p(i) + 6*x(i). Factor f(a).
-(a - 4)*(a - 1)*(a + 1)**2
Factor -50/3*u**2 - 80/3*u + 5/3*u**4 + 0 + 35/3*u**3.
5*u*(u - 2)*(u + 1)*(u + 8)/3
Let u(w) be the third derivative of -w**6/120 - w**5/30 + w**4/6 - 7*w**3/6 + 4*w**2. Let a be u(-4). What is s in 0*s**2 + s - 8 - a*s - 2*s**2 = 0?
-2
Let l(c) be the third