 - 4)*(d + 2)
Let j(k) be the third derivative of -k**5/15 + 25*k**4/3 + 34*k**3 - 308*k**2. Factor j(p).
-4*(p - 51)*(p + 1)
Find s, given that 320 - 512*s - 15756/5*s**2 - 8*s**4 + 1594/5*s**3 = 0.
-2/5, 1/4, 20
Let z(g) = g**5 - g**4 - g**3 - g**2 + 1. Let o(m) = 10*m**5 - 25*m**4 + 10*m**3 - 5*m**2 + 5. Let h(r) = o(r) - 5*z(r). Factor h(a).
5*a**3*(a - 3)*(a - 1)
Let l(w) = 2*w**5 + 4*w**4 - 8*w**3 - 4*w**2 + 10*w - 4. Let k(b) = 2*b**5 + 4*b**4 - 9*b**3 - 2*b**2 + 11*b - 6. Let j(h) = -2*k(h) + 3*l(h). Factor j(u).
2*u*(u - 1)**2*(u + 2)**2
Let c(z) be the third derivative of 1/120*z**5 + 1/3*z**3 - 27*z**2 + 5/48*z**4 + 0 + 0*z. Factor c(a).
(a + 1)*(a + 4)/2
Let c(z) be the second derivative of -2*z**7/63 + z**6/9 - 2*z**5/15 + z**4/18 - 72*z + 1. Factor c(o).
-2*o**2*(o - 1)**2*(2*o - 1)/3
Let x be 1 - ((-338)/(-39) - 8). Let 1/3*q**5 - 1/3*q**4 + 0*q + 0 + x*q**2 - 1/3*q**3 = 0. What is q?
-1, 0, 1
Suppose 7 = -q - 26. Let z be 8/((12/q)/(-4)). Suppose z*u - 4*u**2 - 88*u = 0. Calculate u.
0
Let l(s) be the second derivative of s**7/210 + 7*s**6/75 + 69*s**5/100 + 7*s**4/3 + 10*s**3/3 + 44*s. Determine n, given that l(n) = 0.
-5, -2, 0
Let h = -671 + 675. Let k(n) be the second derivative of 3/20*n**5 + 0*n**2 + n + 0 + 0*n**3 + 1/2*n**h. Let k(c) = 0. What is c?
-2, 0
Suppose -3*h - 8 + 20 = 0. What is c in -c**4 - 10*c**4 + 5*c**5 + 6*c**h = 0?
0, 1
Let u(n) be the second derivative of n**7/420 - n**6/180 - n**5/60 + n**4/12 + n**3 - 9*n. Let y(v) be the second derivative of u(v). Factor y(s).
2*(s - 1)**2*(s + 1)
Let b(m) be the first derivative of 1/6*m**4 + 0*m - 2*m**3 + 2 - 1/90*m**6 + 0*m**5 + 0*m**2. Let z(k) be the third derivative of b(k). Factor z(c).
-4*(c - 1)*(c + 1)
Let c(y) = 2*y**5 + 20*y**4 + 30*y**3 + 50*y**2 + 20*y. Let j(k) = -k**4 + k**3 - k**2 + k + 1. Let u(n) = 2*c(n) + 12*j(n). Suppose u(a) = 0. Calculate a.
-3, -1
Let g(z) = 10*z**2 + 10*z + 10. Let u(s) = 5*s**2 + 6*s + 4. Let i(w) = -2*g(w) + 5*u(w). Factor i(x).
5*x*(x + 2)
Let a(v) be the second derivative of v**6/1260 - v**4/21 + 16*v**3/3 + 5*v. Let m(h) be the second derivative of a(h). Factor m(q).
2*(q - 2)*(q + 2)/7
Suppose 0 = 40*a + 5*a. Suppose -1/3*o**2 + 1/3 + a*o = 0. What is o?
-1, 1
Let o = 123 - 123. What is d in 67*d**4 - 61*d**4 + 3*d**5 + o*d**5 = 0?
-2, 0
Factor y**4 - 18*y**3 - 9*y**2 + 60*y - 36 + 2*y**4 + 30 - 30.
3*(y - 6)*(y - 1)**2*(y + 2)
Suppose 30/13*r**4 - 64/13*r**2 - 2*r**3 - 8/13*r + 0 = 0. Calculate r.
-1, -2/15, 0, 2
Let r = 354 - -183. Let v = 1101/2 - r. Find c such that 3/2*c**2 + v - 9*c = 0.
3
Find c, given that 3*c**3 + 5*c**2 - 8*c**2 + 0*c**2 = 0.
0, 1
Let w(b) = -2*b**2 + 13*b + 8. Let s be w(7). Suppose s + 14 = 5*x. Factor 5/8*p + 1/4 - 1/8*p**x + 3/8*p**2 - 1/8*p**4.
-(p - 2)*(p + 1)**3/8
Find p such that -116/5*p - 1/5*p**2 - 3364/5 = 0.
-58
Let 1176*u**2 + 3764768 + 3886*u - 4*u**3 - 91038*u - 46089*u + 17993*u = 0. What is u?
98
Let h = 59 + -36. Let c = h - 21. Factor -10*m**2 + 3*m + c*m**2 + 0*m - m.
-2*m*(4*m - 1)
Let j(w) = -5*w**3 + 9*w**2 - 28*w + 20. Let i(g) = -161 + 202 - 4*g**3 - 57*g + 18*g**2 - 7*g**3. Let m(y) = -4*i(y) + 9*j(y). Determine r so that m(r) = 0.
1, 4
Factor 2*n**2 + 2*n**2 - 3 + 726*n + 19 - 710*n.
4*(n + 2)**2
Let l = 27 - 22. Factor -3*z**2 + 5*z**2 + 1203*z - 2*z**3 - z**4 - 1202*z - 1 + z**l.
(z - 1)**3*(z + 1)**2
Let d(a) be the first derivative of 3*a**5/5 + 15*a**4/2 + 29*a**3 + 48*a**2 + 36*a - 601. Factor d(i).
3*(i + 1)**2*(i + 2)*(i + 6)
Let k(t) be the first derivative of -5*t**4/4 - 20*t**3/3 + 398. What is x in k(x) = 0?
-4, 0
Let f = 18 - 14. Let c = -5/2 + f. Let -c*s + 0*s**2 + 1 + 1/2*s**3 = 0. What is s?
-2, 1
Let s be 7/(147/276) - 472/413. What is g in -3/2*g**2 + s*g - 12*g**3 - 9/2*g**4 + 6 = 0?
-2, -1, -2/3, 1
Let t(r) be the third derivative of 9*r**2 - 5/48*r**8 - 53/24*r**6 + 31/12*r**5 + 0 + 0*r**4 + 0*r - 10/3*r**3 + 11/14*r**7. What is d in t(d) = 0?
-2/7, 1, 2
Let y(q) be the third derivative of q**5/15 + 5*q**4/3 + 50*q**3/3 - 328*q**2. Factor y(o).
4*(o + 5)**2
Let y(j) be the third derivative of j**6/160 + j**5/80 - 5*j**4/16 + j**3 + 153*j**2. Factor y(m).
3*(m - 2)*(m - 1)*(m + 4)/4
Let z(o) be the second derivative of o**6/80 + 27*o**5/160 + 23*o**4/32 + 3*o**3/16 - 27*o**2/4 - 5*o - 7. Find m, given that z(m) = 0.
-4, -3, 1
Solve -3 + u + 5*u**3 + 7*u**2 + 18*u**2 + 3 + 19*u = 0 for u.
-4, -1, 0
Let j(m) = -88*m**3 - 828*m**2 - 516*m - 104. Let y(i) = -30*i**3 - 276*i**2 - 172*i - 34. Let u(z) = 3*j(z) - 10*y(z). Solve u(s) = 0 for s.
-7, -1/3
Let b be ((-8)/12)/(4/18*-1). Determine k so that -4*k**b + 10*k - 5 - 6*k**3 + 15*k**2 - 15*k**2 + 5*k**4 = 0.
-1, 1
Let s(j) be the second derivative of 1/3*j**4 + 0 + 1/5*j**5 - 10*j - 10/3*j**3 + 6*j**2. Find n such that s(n) = 0.
-3, 1
Let y(p) be the first derivative of -5*p**6/6 - 3*p**5 - 5*p**4/2 + 10*p**3/3 + 15*p**2/2 + 5*p + 200. Determine g, given that y(g) = 0.
-1, 1
Let y(d) = d**5 - 2*d**4 + d**3 - 2*d**2 - 1. Let p(g) = -2*g**5 - 6*g**4 + 51*g**3 - 102*g**2 + 81*g + 3. Let u(m) = -2*p(m) - 6*y(m). Factor u(q).
-2*q*(q - 3)**4
Solve 0*n**2 + 0 + 28*n**4 - 29/2*n**5 + 0*n + 2*n**3 = 0.
-2/29, 0, 2
Let m = -1 - -4. Suppose h - 16 + 7 = -5*w, -3*h - m = 0. Determine j so that -9*j**5 + j**3 + 11*j**3 + 6*j**4 - 7*j**w - 3*j + j**2 = 0.
-1, -1/3, 0, 1
Factor 1/6*j**4 + 4/3*j**2 + 0 - 2/3*j - 5/6*j**3.
j*(j - 2)**2*(j - 1)/6
Let h(c) be the second derivative of -2/33*c**3 - 1/66*c**4 + 22*c - 1/11*c**2 + 0. Suppose h(x) = 0. What is x?
-1
Let g(t) be the third derivative of t**7/175 - 3*t**6/50 + 4*t**5/25 + 38*t**2. Factor g(x).
6*x**2*(x - 4)*(x - 2)/5
Let c = 39 - 25. Let q be 60/280*(c/12 - 0). Suppose -1/4*d - 1/2 + q*d**2 = 0. Calculate d.
-1, 2
Let n(b) be the third derivative of -2/15*b**6 - 9*b**2 + 3/5*b**5 + 5/3*b**3 - 4/3*b**4 + 0 + 0*b + 1/105*b**7. Determine m, given that n(m) = 0.
1, 5
Let v(n) be the second derivative of n**5/80 - 3*n**3/8 + 433*n. Factor v(i).
i*(i - 3)*(i + 3)/4
Let l be (14/(-21))/(24/(-9)). What is z in l*z**2 - 1/2 + 1/4*z = 0?
-2, 1
Let s(q) be the first derivative of -q**6/18 - 8*q**5/15 - 3*q**4/2 - 16*q**3/9 - 5*q**2/6 + 287. Suppose s(p) = 0. What is p?
-5, -1, 0
Let v(q) = -10*q**2 + 38*q. Let y(x) = 2*x**2 - 8*x. Let g(f) = -2*v(f) - 11*y(f). Factor g(j).
-2*j*(j - 6)
Let b be (-1)/(-3)*0/61. Factor -1/4*r**2 + b + 1/4*r.
-r*(r - 1)/4
Factor -27/4*h**2 + 9/4*h**3 - 1/4*h**4 + 27/4*h + 0.
-h*(h - 3)**3/4
Let d = -86 - -96. Let o be (8/d)/((-182)/(-105)). Factor 2/13*w**3 + 2/13 + o*w + 6/13*w**2.
2*(w + 1)**3/13
Let f(q) be the second derivative of 1/225*q**6 + 2/45*q**3 + 2/75*q**5 + 19*q + 1/18*q**4 + 0 + 0*q**2. Determine u, given that f(u) = 0.
-2, -1, 0
Let t be (-41)/(-82) - (-4)/(-10). Let i(j) be the third derivative of 1/5*j**6 - 1/8*j**4 + 0*j**3 + t*j**5 + 0 + 0*j - 3*j**2. Factor i(v).
3*v*(2*v + 1)*(4*v - 1)
Suppose -249 = -55*x - 84. What is s in 40/3*s**x - 100/9*s**4 + 32/9*s + 0 + 16*s**2 = 0?
-2/5, 0, 2
Let h(f) be the first derivative of 2/7*f - 15 + 0*f**2 - 2/21*f**3. Suppose h(v) = 0. Calculate v.
-1, 1
Let x = 19 + -14. Suppose -7*t**5 - 4*t**4 + 3*t**x + 5*t**2 - t**2 + 4*t**3 = 0. What is t?
-1, 0, 1
Let s = -37508 - -37510. Find f such that -1/4*f**3 + 0*f - 1/2*f**s + 0 = 0.
-2, 0
Let q = 191/4 + -953/20. Let h(i) be the third derivative of 0*i**3 - q*i**5 + 5*i**2 + 0 - 1/8*i**4 - 1/40*i**6 + 0*i. Factor h(y).
-3*y*(y + 1)**2
Suppose -25*m - 598 = -548, 2*t - m = 2. Find r, given that 338/7*r**2 + 2/7*r**4 + 52/7*r**3 + 0 + t*r = 0.
-13, 0
Let w = 91 - 85. Determine j so that -18*j**2 + 17*j**2 + w*j**2 - 15*j = 0.
0, 3
Let c(i) be the second derivative of 37*i - 3*i**4 + 2/5*i**6 - 3/10*i**5 + 1/14*i**7 + 0*i**2 + 0 + 9/2*i**3. Factor c(k).
3*k*(k - 1)**2*(k + 3)**2
Let d(g) be the third derivative of -g**7/42 + 5*g**6/24 - 2*g**5/3 + 5*g**4/6 + 349*g**2. Factor d(h).
-5*h*(h - 2)**2*(h - 1)
Solve 5*z**2 + 14 + 28 + 2*z**2 - 26 - 3*z**2 + 20*z = 0.
-4, -1
Solve 30*y**2 + 59/2*y + 1/2*y**3 + 0 = 0.
-59, -1, 0
Let u(i) be the third derivative of -i**5/60 + i**4/6 + 7*i**3/6 - 4*i**2. Let r be u(5). Factor -7*g**3 + 3*g**4 - 7*g**3 - 6*g + 15*g**r + 2*g**3.
3*g*(g - 2)*(g - 1)**2
Let a(q) be the second derivative of