0*w.
w**2*(w - 1)*(5*w + 2)**2/7
Suppose 3*v + 23 = 4*v + 3*q, -3*v = -5*q - 13. Suppose p = 4*g - 5, 5*p - 2*g + 0*g = v. Factor -103*h**p - 5*h**4 + 0*h**4 + 103*h**3.
-5*h**4
Solve 910/3 - 2/3*q**2 - 172/3*q = 0 for q.
-91, 5
Let g(z) be the third derivative of -4*z + 5/4*z**4 - 5/14*z**7 + 0*z**3 + 5/84*z**8 + 0 + 25/12*z**5 - 4*z**2 + 0*z**6. Suppose g(k) = 0. Calculate k.
-1, -1/4, 0, 2, 3
Let i = 19691/2 - 9843. Let g(s) be the first derivative of -1/5*s**5 - 2/3*s**3 + 3/2*s**4 - 1/6*s**6 + 3*s - i*s**2 - 31. Factor g(w).
-(w - 1)**3*(w + 1)*(w + 3)
Let f be (-75)/6*(-216)/90. Solve -f - 57*v + 7*v**3 + 18*v**2 + 19*v**2 + 6*v + 29*v**2 + 8*v**3 = 0.
-5, -2/5, 1
Let b(o) be the first derivative of 2*o**3 - 1/8*o**2 - o + o**5 - 34 + 19/8*o**4 + 1/8*o**6. Factor b(c).
(c + 1)**3*(c + 4)*(3*c - 1)/4
Let z = -472 - -480. Let n be (48/(-30))/z + (-116)/(-80). Solve -3/4*m**4 - 1/2*m**2 + 0 - n*m**3 + 0*m = 0 for m.
-1, -2/3, 0
Let h(u) be the first derivative of 15/2*u**2 + 20*u + 85/4*u**4 - 35*u**3 - 3*u**5 - 14. Let h(i) = 0. Calculate i.
-1/3, 1, 4
Suppose 0 = 8*i + 13 - 37. Factor -100*q**4 - 15*q**4 - 81639*q**2 + 44988*q - 6348 - 32*q**4 + 6846*q**i.
-3*(q - 23)**2*(7*q - 2)**2
Suppose 2*b = 842 + 894. Let t = 4373/5 - b. Find r such that 0 - 48/5*r**4 + 21/5*r**5 + t*r**3 + 0*r - 6/5*r**2 = 0.
0, 2/7, 1
Suppose 753*d - 29*d = 0. What is z in d*z + 27/7*z**5 + 0*z**2 - 12/7*z**3 - 48/7*z**4 + 0 = 0?
-2/9, 0, 2
Let t(f) be the second derivative of -3*f**3 - 3/10*f**5 + 0 + 0*f**2 + 7/4*f**4 + 52*f. Suppose t(m) = 0. What is m?
0, 3/2, 2
Let j(h) be the third derivative of 0*h + 3/32*h**4 - 1/4*h**3 - 1/80*h**5 - 75*h**2 + 0. Factor j(b).
-3*(b - 2)*(b - 1)/4
Find h, given that 896/3 - 4/9*h**2 - 304/9*h = 0.
-84, 8
Suppose 0 = -2*n - 29 + 1. Let y be 4/n - (-284)/14. Solve 12*q - q**2 - y*q + 9*q = 0.
0, 1
Let m = 227787 + -683354/3. Factor -1/6*z**2 + m + 5/6*z.
-(z - 7)*(z + 2)/6
Let o(s) = 2*s**2 - 27*s + 79. Let q be o(4). Let i(j) be the first derivative of -6*j**3 - 2 - 6*j**2 - q*j**4 - 3*j - 3/5*j**5. Factor i(k).
-3*(k + 1)**4
Let l(o) = -o**3 - 31*o**2 - 61*o + 45. Let s be l(-29). Let b be 1*-1*(s - 132). Factor 0 - 6/5*f**4 - 6/5*f**3 - 2/5*f**2 - 2/5*f**5 + b*f.
-2*f**2*(f + 1)**3/5
Let b(u) be the second derivative of -u**4/12 + 895*u**3/3 - 801025*u**2/2 - 80*u - 7. Factor b(a).
-(a - 895)**2
Let c(d) be the second derivative of -d**5/80 - 7*d**4/12 + 91*d**3/24 - 31*d**2/4 - 5*d + 221. Let c(v) = 0. Calculate v.
-31, 1, 2
Let w(q) be the first derivative of 14 - 44/3*q**3 - 2188*q + 292*q**2. Let j(g) = -4*g**2 + 53*g - 199. Let i(l) = 32*j(l) - 3*w(l). Factor i(t).
4*(t - 7)**2
Let d(c) be the first derivative of 2/5*c**3 + 2/25*c**5 + 2*c**2 - 123 - 3/5*c**4 + 0*c. Suppose d(g) = 0. What is g?
-1, 0, 2, 5
Let z = 405/26 + -1189/78. Factor 0*v**4 + 0*v + 2*v**2 + z*v**5 + 0 - 7/3*v**3.
v**2*(v - 2)*(v - 1)*(v + 3)/3
Suppose -59*u + 54*u = -20. Let z(l) be the second derivative of 0*l**3 - 1/6*l**u + 13*l + 0 + l**2. Determine a so that z(a) = 0.
-1, 1
Let c = -1267/34 + 2585/68. Factor -9/2*z + 9/4*z**4 + c - 15/2*z**3 + 9*z**2.
3*(z - 1)**3*(3*z - 1)/4
Find h such that -219/2*h + 111 - 3/2*h**2 = 0.
-74, 1
Let h(p) be the third derivative of -p**6/60 + 9*p**5/10 - 35*p**4/3 + 137*p**2. Factor h(m).
-2*m*(m - 20)*(m - 7)
Let d = -307239/13 + 2151479/91. Factor 0 + 80*l**2 + 2/7*l**4 + d*l**3 + 168*l.
2*l*(l + 3)*(l + 14)**2/7
Let r(y) = 374*y + 30296. Let u be r(-81). Find q, given that -361/9 - 1/9*q**u - 38/9*q = 0.
-19
What is t in -4720*t + 55696 - 31*t**4 - 6585*t**2 - 36*t**4 + 11425*t**2 - 60436*t**2 + 4720*t**3 - 33*t**4 = 0?
-1, 1, 118/5
Suppose 117*a + 9396 = 108*a. Let f = -5212/5 - a. Suppose 0 + f*d + 1/5*d**2 = 0. What is d?
-8, 0
Let v(f) = -f + 34. Let z be v(13). Suppose 2*o - 9 = -y - 4, -3*o = -3*y - z. Let n**4 + 3*n**o + 17*n**3 - 25*n**3 = 0. Calculate n.
0, 2
Let a(o) be the third derivative of o**5/15 + 28*o**4/3 + 686*o**3/3 + 1167*o**2. Factor a(n).
4*(n + 7)*(n + 49)
Suppose -688 = -41*f + 25*f. Factor 29 - 5*s**4 + 30*s + 39 - f - 30*s**3 - 20*s**2.
-5*(s - 1)*(s + 1)**2*(s + 5)
Let w(h) be the second derivative of h**7/273 - 2*h**6/13 + 253*h**5/130 - 8*h**4/13 - 4268*h**3/39 - 5808*h**2/13 + 3570*h. Determine l so that w(l) = 0.
-2, 11, 12
Let o(q) = 2*q**2 - 51*q - 24. Let i be o(26). Factor -5*n**i + 12*n - 10*n**2 + 18*n**2.
3*n*(n + 4)
Let a = 236620/1064709 - 2/118301. Let t = 2 + 1. What is f in -a*f**t - 2/3*f**2 - 4/9*f + 0 = 0?
-2, -1, 0
Let g(b) be the second derivative of 0*b**3 + 1/90*b**6 + 2 + 29*b + 0*b**2 + 4/9*b**4 - 2/15*b**5. Factor g(k).
k**2*(k - 4)**2/3
Suppose -z - 4 = -2*z + 2*v, -5*z = -3*v - 6. Let x(j) be the second derivative of -1/60*j**5 + z*j**3 - 1/180*j**6 + 0 + 0*j**2 - 1/72*j**4 - 8*j. Factor x(b).
-b**2*(b + 1)**2/6
Let d(h) be the first derivative of h**4/8 - 229*h**3/3 - 1381*h**2/4 - 461*h - 925. Factor d(q).
(q - 461)*(q + 1)*(q + 2)/2
Let l(o) = -7*o**4 + 1918*o**3 - 226563*o**2 - 460794*o. Let r(n) = -34*n**4 + 9588*n**3 - 1132814*n**2 - 2303972*n. Let z(x) = 14*l(x) - 3*r(x). Factor z(c).
4*c*(c - 240)**2*(c + 2)
Suppose 5*b = 2*a - 14, -5*a - b = -4*a. Let d be a/(((-64)/4 - 0)*-1). Determine w so that d*w**2 + 1/2*w + 3/8 = 0.
-3, -1
Let c be (-450)/(-2) + (1 - -3). Let x = c + -175. Let 51*h**2 + 42*h**5 + 3 - 39/2*h**3 - x*h**4 - 45/2*h = 0. Calculate h.
-1, 2/7, 1/2, 1
Suppose i - s = 12, 3*s + 25 = -i + 5. Let r(u) be the second derivative of 0 - 16*u - 6*u**2 - i*u**3 - 3/20*u**5 - 5/4*u**4. Factor r(a).
-3*(a + 1)*(a + 2)**2
Let u(h) = 1397*h**3 + 6*h + 2*h - 1409*h**3 + 4. Let b(s) = -2*s**4 + s**3 + s. Let j(r) = 2*b(r) + u(r). Determine k, given that j(k) = 0.
-2, -1, -1/2, 1
Let k = 4529/3 + -18035/12. Let h(r) be the first derivative of 15/2*r**2 + 3*r + 3*r**3 + 33 - k*r**4. Let h(m) = 0. Calculate m.
-1/3, 1
Let b(u) be the second derivative of 0*u**2 - 1/60*u**6 + 19/24*u**4 - 1/10*u**5 - 7/6*u**3 + 13*u + 2. Solve b(m) = 0 for m.
-7, 0, 1, 2
Factor 6498 + 45600*o + 1597/2*o**2 + 7/2*o**3.
(o + 114)**2*(7*o + 1)/2
Let f = -6353/6 + 19079/18. Suppose 2/9*t**3 + f*t**2 + 0 + 0*t = 0. What is t?
-5, 0
Let -67712 - 2*m**2 + 277*m - 396*m - 617*m = 0. What is m?
-184
Let s(d) be the first derivative of d**6/21 - 4*d**5/7 + 13*d**4/14 + 136*d**3/21 - 68*d**2/7 - 32*d + 5254. Find n such that s(n) = 0.
-2, -1, 2, 4, 7
Let k(l) = 13*l**2 - l + 4. Let o(c) = 81*c**2 + 4590*c + 4617. Let w(i) = -6*k(i) + o(i). Let w(j) = 0. What is j?
-1531, -1
Let o(h) be the first derivative of h**6/24 - 3*h**5/4 - 5*h**4/24 + 15*h**3/2 + 16*h**2 + 46. Let q(g) be the second derivative of o(g). Solve q(p) = 0.
-1, 1, 9
Let a(c) be the second derivative of 1/45*c**6 - 1/30*c**5 + 52/9*c**3 + 156*c - c**4 + 0 - 40/3*c**2. Suppose a(l) = 0. What is l?
-5, 2
Let m(l) be the first derivative of 0*l**3 + 100 - 1/11*l**4 + 0*l - 1/33*l**6 + 0*l**2 + 6/55*l**5. Factor m(n).
-2*n**3*(n - 2)*(n - 1)/11
Let f be (4/6)/((-10)/(-60)). Suppose k - 34 = -4*b + 27, 4*b + 2*k = 62. Factor b - 3*z - 13*z - 27 - f*z**2.
-4*(z + 1)*(z + 3)
Let w be (-12)/(-48) - ((-14595)/20)/(-7). Let q be w/(-36) + 7 + 54/(-6). Factor q*p**2 + 2/9*p + 2/3*p**3 + 0.
2*p*(p + 1)*(3*p + 1)/9
Let f = 7/10 - 1/5. Let h be 12 + 13/((-325)/310) + 252/30 - 6. Factor -f*p**3 - 7/2*p + 0 - 4*p**h.
-p*(p + 1)*(p + 7)/2
Let -18*i + 29*i**2 + 5/3*i**3 + 0 = 0. What is i?
-18, 0, 3/5
Suppose -8*x + 9*x - 4*s - 18 = 0, -5*x - 6 = 4*s. Suppose q + 4*q - x*q = 0. Factor 2/5*i - i**2 + q - 7/5*i**3.
-i*(i + 1)*(7*i - 2)/5
Let j = 264021/2 - 132010. Factor -j*g - 3/4*g**2 - 1/4*g**3 + 0.
-g*(g + 1)*(g + 2)/4
Let s(u) be the second derivative of -u**7/21 - 13*u**6/5 + 133*u**5/10 + 93*u**4/2 - 216*u**3 - 756*u**2 + 1663*u. Solve s(h) = 0 for h.
-42, -2, -1, 3
Let v(u) be the second derivative of 13*u**5/4 + 281*u**4/6 - 205*u**3/6 + 9*u**2 - 33*u + 3. Solve v(m) = 0.
-9, 2/13, 1/5
Let r be 0 + 3 - (-40)/(-20). Let v be 4/(-3)*r/2*-6. Factor -12*p - v - 3*p**2 - 4*p**2 - p**2.
-4*(p + 1)*(2*p + 1)
Solve 209/2*d - 1/2*d**3 + 0 - 4*d**2 = 0 for d.
-19, 0, 11
Let y(b) be the first derivative of 86 - 80*b + 20*b**2 - 5/3*b**3. Factor y(h).
-5*(h - 4)**2
Let -20/13*i - 102/13*i**2 - 14/13*i**4 + 16/13 - 80/13