 10/7*z**2 + 2/7*z**4 + 0.
-2*z*(z - 1)**3*(z + 2)/7
Let d(x) be the third derivative of -1/3*x**4 - 61*x**2 + 0*x - 8*x**3 + 0 - 1/180*x**5. Let d(n) = 0. Calculate n.
-12
Suppose 43*z - 12 = 39*z. Let c(r) = 2*r - 3. Let u be c(3). Solve -2*j**u + z - 2*j**3 + 1 + 4*j + 3*j**3 - j**2 = 0.
-2, -1, 2
Factor -741*u - 1071648 - 82*u - 2105*u - 2*u**2.
-2*(u + 732)**2
Let n(l) be the first derivative of -30 + l**5 + 10*l**2 - 15*l - 5*l**4 + 10/3*l**3. Factor n(q).
5*(q - 3)*(q - 1)**2*(q + 1)
Let p(w) be the third derivative of -w**6/1020 - w**5/15 - 61*w**4/204 + 32*w**3/17 + 2*w**2 - 474*w. Determine u, given that p(u) = 0.
-32, -3, 1
Let w(t) be the first derivative of -2*t**3/51 + 43*t**2/17 - 744*t/17 - 1034. Determine c so that w(c) = 0.
12, 31
Factor 9714/5*g - 7863483/5 - 3/5*g**2.
-3*(g - 1619)**2/5
Let o(c) be the second derivative of c**5/120 - 4*c**3/3 - 131*c**2/2 + 91*c. Let z(g) be the first derivative of o(g). What is i in z(i) = 0?
-4, 4
Let t be (-165)/(-55) - (-1 - 0/1). Let o(n) be the first derivative of 5/9*n**3 + 1/6*n**5 + 24 + 1/36*n**6 + 5/12*n**t + 1/6*n + 5/12*n**2. Factor o(p).
(p + 1)**5/6
What is m in -671187/5*m**2 - 12/5 - 5676/5*m = 0?
-2/473
Let f(t) be the first derivative of -5*t**4/4 + 230*t**3/3 + 235*t**2/2 + 1112. Determine z, given that f(z) = 0.
-1, 0, 47
Let z(i) be the first derivative of -3*i**5/80 - 3*i**4/8 - 11*i**3/8 - 9*i**2/4 + 65*i - 77. Let b(d) be the first derivative of z(d). Factor b(l).
-3*(l + 1)*(l + 2)*(l + 3)/4
Let b be ((-7)/(-49)*-2*-1)/((-23)/(-161)). Factor 39/4*h + 0 + 3/8*h**b.
3*h*(h + 26)/8
Let g(f) = 5*f**2 - 420*f - 320. Suppose 14*o - 245 = 7*o. Let j(r) = r**2 - 70*r - 53. Let l(z) = o*j(z) - 6*g(z). Find b such that l(b) = 0.
-13, -1
Let i(y) = -7*y**3 + 13*y**2 + 9. Let d(w) = 4 - 3*w**3 + 6*w**2 - 290*w + 290*w. Let x(u) = -9*d(u) + 4*i(u). Solve x(b) = 0 for b.
-2, 0
Solve -3388*f + 13464*f**2 + 0 + 16/7*f**4 + 2460/7*f**3 = 0.
-77, 0, 1/4
Let a(l) = -41*l + 61. Let v be a(1). Let y be (v/36)/(-1 - 17/(-12)). Factor y*k - 2*k**2 + 0 + 2/3*k**3.
2*k*(k - 2)*(k - 1)/3
Let i(j) = 33*j. Let m(h) = -43*h + 1. Let y(c) = 3*i(c) + 2*m(c). Let b be y(0). Solve 1/5 + 1/5*g**4 + 6/5*g**b + 4/5*g**3 + 4/5*g = 0.
-1
Let h = -5 + 25. Let s(v) = v**2 + v + 1. Let j(p) = 45*p**3 + 9*p**2 - 43*p**3 - p**2 + 4*p + 12 + 4*p. Let r(x) = h*s(x) - 2*j(x). Let r(d) = 0. What is d?
-1, 1
Let d be (-2)/(-4)*(-14)/7 - -4. Find r, given that 0 - 1/2*r**3 - 9/2*r - d*r**2 = 0.
-3, 0
Solve 1/5*s**2 + 26 - 31/5*s = 0.
5, 26
Let s be 484/88 + (-168)/(-224)*26/(-6). Factor -3/2 - 9/4*b**3 + 3/4*b**4 + s*b + 3/4*b**2.
3*(b - 2)*(b - 1)**2*(b + 1)/4
Suppose -3*b - 304 = -41*b. Let u(z) be the first derivative of -5 + b*z**4 + 16/3*z**3 + 0*z + 0*z**2 + 2/3*z**6 + 4*z**5. Suppose u(t) = 0. What is t?
-2, -1, 0
Suppose -3*u - 61 = 2*d - 74, u - 4*d - 9 = 0. Let k(v) be the third derivative of 0*v**4 + 1/30*v**u - 17*v**2 + 0 + 0*v**3 + 0*v. Factor k(q).
2*q**2
Let m(f) = -25*f**5 - 80*f**4 - 455*f**3 - 980*f**2 - 90*f + 1620. Let h(v) = -2*v**5 - v + 2. Let d(a) = 10*h(a) - m(a). Factor d(r).
5*(r - 1)*(r + 4)**3*(r + 5)
Suppose 0 = -8*g + 5*g - 144. Let u = -46 - g. Factor -6 + n**2 + 231*n - u*n**3 + 6*n**2 - n**2 - 229*n.
-2*(n - 3)*(n - 1)*(n + 1)
Let d(r) be the second derivative of -r**5/4 + 130*r**4/3 - 1025*r**3/6 + 255*r**2 + 3276*r. Factor d(p).
-5*(p - 102)*(p - 1)**2
Suppose z + 70 = -b - 274, 4*b + 1031 = -3*z. Let v be z/(-276)*8/30*6. Factor 0 + 2/9*q**3 + 0*q - 2/9*q**v.
2*q**2*(q - 1)/9
Let r(c) be the first derivative of 25*c**6 - 38*c**5 - 1093*c**4/3 - 2408*c**3/9 + 440*c**2/3 - 64*c/3 - 1269. Find f such that r(f) = 0.
-2, -1, 2/15, 4
Let q = -18384 + 18394. What is v in -12*v**2 - 2/3*v**3 - 4/3 + 4*v**4 + q*v = 0?
-2, 1/6, 1
Let c(x) = -72*x**2 + 20*x + 26. Let v(b) be the first derivative of -145*b**3/3 + 20*b**2 + 50*b + 23. Let h(i) = -5*c(i) + 3*v(i). Let h(z) = 0. What is z?
-2/5, 2/3
Find f, given that 85*f - 1210 + 205*f**2 + f**4 + 58*f + 4122*f**3 - 4097*f**3 - 28*f**2 = 0.
-11, -5, 2
Let u(k) be the second derivative of -61*k**6/60 - 49*k**5/16 - k**4/24 + 4346*k. Determine i so that u(i) = 0.
-2, -1/122, 0
Let w(p) be the third derivative of -14*p**2 + 1/1260*p**6 + 3/7*p**4 + 0 + 0*p - 7/6*p**3 + 1/35*p**5. Let a(n) be the first derivative of w(n). Factor a(k).
2*(k + 6)**2/7
Let g(n) be the second derivative of -n**4/60 + 13*n**3/60 + 3*n**2/4 - 709*n. Factor g(z).
-(z + 1)*(2*z - 15)/10
Let i(f) = 50*f**2 + 75*f - 9 - 5 - 6. Let u(h) = -2*h**2. Let c(d) = -i(d) - 15*u(d). Suppose c(o) = 0. What is o?
-4, 1/4
Let m(l) be the third derivative of -l**8/144 - l**7/315 + 7*l**6/30 - 22*l**5/45 - 4*l**4/9 - l**2 + 243. Suppose m(o) = 0. What is o?
-4, -2/7, 0, 2
Let n(z) be the second derivative of 5*z**7/21 + z**6/6 - 3*z**5 + 25*z**4/6 + 5*z**3/3 - 15*z**2/2 - 661*z + 2. Factor n(m).
5*(m - 1)**3*(m + 3)*(2*m + 1)
Let o(j) be the first derivative of -5*j**3/3 - 4705*j**2/2 + 9430*j - 4707. Factor o(f).
-5*(f - 2)*(f + 943)
Let m be (-32)/(-18) + 50/225. Suppose -b + 5*f - f + 18 = 0, -m = -5*b - 2*f. Find j such that 0*j - j**3 + 3/2*j**4 + 0*j**b - 1/2*j**5 + 0 = 0.
0, 1, 2
Let t(w) be the second derivative of w**6/20 + 2139*w**5/40 + 63009*w**4/4 - 95765*w**3 + 192246*w**2 - 1012*w. Suppose t(g) = 0. What is g?
-358, 1, 2
Let r be -2 - (5 - (38 + -4)). Factor -10*h**2 - 18*h**2 - 36 - r*h**3 + 14*h**3 - 68*h + 17*h**3.
4*(h - 9)*(h + 1)**2
Let f be ((-96)/6272)/((-9)/447). Let d = -1/98 + f. Factor 0 - 3*u**2 - 9/4*u - d*u**3.
-3*u*(u + 1)*(u + 3)/4
Suppose -72 + 27*o - 3*o + 3*o**2 - 39*o = 0. What is o?
-3, 8
Let w(g) be the first derivative of 1/4*g**4 + 9*g - 17/2*g**2 - 1 + 7/3*g**3. Determine v, given that w(v) = 0.
-9, 1
Let l(i) be the third derivative of 1/45*i**5 + 26/945*i**7 - 7/108*i**4 + 0*i**3 + 0 + 1/504*i**8 + 1/15*i**6 + 2*i + 42*i**2. Suppose l(q) = 0. Calculate q.
-7, -1, 0, 1/3
Let m(p) be the first derivative of 4*p**5/5 - 9*p**4 + 32*p**3 - 40*p**2 - 4207. Factor m(k).
4*k*(k - 5)*(k - 2)**2
Let r(z) be the third derivative of z**8/4200 + z**7/875 - 3*z**6/500 + z**5/150 + 189*z**2. Factor r(q).
2*q**2*(q - 1)**2*(q + 5)/25
Let q(v) = -66*v**2 - 1716*v + 104. Let t(n) = 132*n**2 + 3433*n - 208. Let b(g) = -9*q(g) - 4*t(g). Factor b(c).
2*(c + 26)*(33*c - 2)
Suppose -85*v - 3 = -87*v - 3*r, -17*v + 3*r + 54 = 0. Solve 2/9*s**v - 8/3 + 32/9*s - 14/9*s**2 = 0 for s.
2, 3
Find s, given that 1263/4*s - 3/4*s**2 - 315 = 0.
1, 420
Factor -112*f - 16*f**2 + f**4 + 62*f + 50*f + 15*f**3.
f**2*(f - 1)*(f + 16)
Factor -1/6*z**3 + 1/3*z**2 + 32 + 52/3*z.
-(z - 12)*(z + 2)*(z + 8)/6
Let x be 8 + (-3)/2*1356. Let z = x + 2028. Factor -16/5 - 8/5*m - 1/5*m**z.
-(m + 4)**2/5
Suppose -30 = 9*h + 132. Let c(i) = -32*i - 574. Let k be c(h). Factor 0*x + 3/2*x**k + 0 + 3*x**4 + 9/2*x**3.
3*x**2*(x + 1)*(2*x + 1)/2
Factor -118883*h**2 - 505217*h**2 - 1 + 87*h + 939*h + 554*h.
-(790*h - 1)**2
Factor -131*v - 196/3 - 2/3*v**2.
-(v + 196)*(2*v + 1)/3
Let h be 12/(-9)*10/(-520). Let v = 5/26 - h. Determine w, given that 1/2 - 2/3*w + v*w**2 = 0.
1, 3
Let y(q) be the first derivative of -5/4*q**4 + 0*q**3 + 30*q - 41 + 35/2*q**2. Factor y(k).
-5*(k - 3)*(k + 1)*(k + 2)
Let -11/6*x**2 - 5*x + 0 + 19/6*x**3 - 1/6*x**5 - 1/6*x**4 = 0. Calculate x.
-5, -1, 0, 2, 3
Let s = -8720 + 8723. Let u(v) be the second derivative of 0 - 6*v**2 - 25*v - s*v**3 - 3/4*v**4 - 3/40*v**5. Factor u(x).
-3*(x + 2)**3/2
Let n be (2 + -4)*2/(-4). Suppose g - n = v, -4*v + 24 = -24*g + 27*g. What is a in 3/5*a**v + 0*a + 0 - 2/5*a**4 + 2/5*a**2 = 0?
-1/2, 0, 2
Let l(w) be the second derivative of 0 - 1/4*w**4 + 3/2*w**2 + 97*w - 1/8*w**3 + 3/80*w**5. Factor l(o).
3*(o - 4)*(o - 1)*(o + 1)/4
Let s(j) = -22*j**3 - 186*j**2 + 298*j - 160. Let p(h) = -8*h**3 - 62*h**2 + 98*h - 53. Let q(y) = 14*p(y) - 5*s(y). Factor q(a).
-2*(a - 29)*(a - 1)**2
Let b be (52/(-234))/((-12)/(-162)) - (-3*1 - 0). Suppose b + 2/21*f**2 - 58/21*f = 0. What is f?
0, 29
Suppose 0 = 5*s - 0 + 5. Let v(j) = -39*j**2 - 81*j - 6. Let x(w) = w**2 + 2*w. Let b(f) = s*v(f) + 3*x(f). Factor b(u).
3*(u + 2)*(14*u + 1)
Let y = 2586/655 - 360/131. Suppose 0*q**2 + 9/5*q**4 - 3/5*q**5 + 0 - y*q**3 + 0*q = 0. Calculate q.
0, 1, 2
So