 Factor m(r).
-3*(r - 1)*(r + 1)*(r + 12)/5
Let j(i) be the first derivative of 215 + 5/3*i**3 + 180*i**2 + 6480*i. What is o in j(o) = 0?
-36
Let s(f) be the third derivative of -2*f**7/21 - 9*f**6/8 + 79*f**5/12 - 15*f**4/4 + 1112*f**2 + 1. Factor s(q).
-5*q*(q - 2)*(q + 9)*(4*q - 1)
Let u(k) = -180*k - 61*k**3 + 18 + 41*k**3 - 85*k**3 - 305*k**2. Let p(c) = 525*c**3 + 1525*c**2 + 900*c - 89. Let x(r) = 2*p(r) + 11*u(r). Factor x(a).
-5*(a + 1)*(a + 2)*(21*a - 2)
Let w(h) be the second derivative of h**6/320 + 3*h**5/80 + 9*h**4/64 - 7*h**2/2 - 45*h. Let b(n) be the first derivative of w(n). Factor b(i).
3*i*(i + 3)**2/8
Let x(h) = -3*h**2 + 1298*h + 28. Let z(s) = 2*s**2 - 1297*s - 42. Let m(t) = 3*x(t) + 2*z(t). Solve m(n) = 0.
0, 260
Let c = -85 - -89. Let 82*w - 96*w + 2*w**2 + c - 4 = 0. Calculate w.
0, 7
Determine x, given that -5814*x**2 + 1798*x**2 - 320 + 1467*x + 789*x + 196*x**4 + 84*x**3 = 0.
-5, 2/7, 4
Factor 35*b**3 - 5*b**5 + 34*b**4 - 15*b**4 + 27*b**4 + 27*b**4 - 1025*b**2 + 750*b - 28*b**4 + 5000.
-5*(b - 5)**3*(b + 2)*(b + 4)
Let d be -3*(2 + (-16)/6). Suppose z = -2*r + 5, 0*r = d*z + 3*r - 10. Factor 8*w**3 - 8*w**2 - 4*w**z + 12*w**4 + 12*w + 4*w**2 - 4 - 4*w**2 - 16*w**3.
-4*(w - 1)**4*(w + 1)
Let a(z) be the second derivative of z**4/78 + 7*z**3/39 - 330*z**2/13 - 4136*z - 2. What is f in a(f) = 0?
-22, 15
Let l be 150 - (-3)/(27/(-63)). Let r = l - 140. Factor 1/4*t**r + 0 + 1/2*t - 3/4*t**2.
t*(t - 2)*(t - 1)/4
Let b(r) be the second derivative of r**5/15 - 17*r**4 - 206*r**3/3 - 310*r**2/3 + 222*r. Factor b(t).
4*(t - 155)*(t + 1)**2/3
Let n(w) be the third derivative of w**5/60 + w**4/12 - w**3/6 - w**2 - 11. Let v(b) = -b**2 - 12*b + 7. Let o(d) = -6*n(d) - 2*v(d). Factor o(k).
-4*(k - 2)*(k - 1)
Let s = -556890 - -556893. Factor 0 - 2/11*l**2 + 24/11*l - 2/11*l**s.
-2*l*(l - 3)*(l + 4)/11
Let n = 1180/93 - 1564/651. Factor -24/7*v + n + 2/7*v**2.
2*(v - 6)**2/7
Let v(l) be the second derivative of -3*l**3 + 1/360*l**6 - 1/96*l**4 + 0*l**2 - 9*l + 1/160*l**5 + 0. Let k(b) be the second derivative of v(b). Factor k(i).
(i + 1)*(4*i - 1)/4
Let i be 0/283*1/1. Find h, given that -24/5*h**2 - 26/5*h**3 + i - 8/5*h - 12/5*h**4 - 2/5*h**5 = 0.
-2, -1, 0
Suppose -u + 4*u = -66. Let j = -17 - u. Factor j*z**5 + 105*z - 14*z**3 - 45 - 16*z**3 - 15*z**2 + 15*z**4 - 35*z**2.
5*(z - 1)**3*(z + 3)**2
Let p be (-10)/(-9)*123/(-41)*259/(-35). Find h such that -25/6*h**5 - 10/3*h**4 + 57/2*h**3 + 4 + 145/3*h**2 + p*h = 0.
-2, -1, -2/5, 3
Suppose -760 - 68 = -36*j. Let n be (j/3 + -8)/(2/(-4)). Let n*m**2 + 392/3 + 56/3*m = 0. Calculate m.
-14
Suppose -3*t - 1728 = -21*t. What is f in -36*f**2 - 4*f - 30 + t*f**2 - 28*f**2 - 2*f**4 + 4*f**3 = 0?
-3, -1, 1, 5
Let j(u) = -u**3 - 143*u**2 - 1694*u - 446. Let b be j(-130). Solve 434/5*p**4 - 394/5*p**2 - b*p**3 + 272/5*p + 98/5*p**5 - 8 = 0.
-5, -1, 2/7, 1
What is z in -5800/3*z + 2/3*z**2 + 4205000/3 = 0?
1450
Let b(z) be the first derivative of 2*z**5/45 - 5*z**4/2 + 18*z**3 - 39*z**2 + 1345. Factor b(h).
2*h*(h - 39)*(h - 3)**2/9
Let r(z) = -2*z**3 - z**2 - z + 2. Let o(k) = -39*k**3 - 6*k**2 - 27*k + 36. Let n be 2 + 1 + -6 - 15. Let f(d) = n*r(d) + o(d). Factor f(x).
-3*x*(x - 3)*(x - 1)
Let s(o) be the first derivative of 8/5*o**5 + 89 + 136*o**2 + 10/3*o**6 + 8/3*o**3 - 45*o**4 + 96*o. What is p in s(p) = 0?
-3, -1, -2/5, 2
Let r(z) be the first derivative of -207 + 0*z + 3/7*z**3 + 3/7*z**2. Factor r(a).
3*a*(3*a + 2)/7
Let b = 97010 - 873088/9. Let 4/3*g**4 + 26/9*g**3 + 8/9*g + 8/3*g**2 + b*g**5 + 0 = 0. What is g?
-2, -1, 0
Let c be 2/((-4)/5)*55/(7150/(-507)) - 9. Factor 1/4*w**5 + w**4 - w + c*w**3 - w**2 + 0.
w*(w - 1)*(w + 1)*(w + 2)**2/4
Suppose x = -2*u - 1750, 9*x - 4*x + 5*u + 8745 = 0. Let n = x - -1750. Determine z so that -2/5*z**n + 16/5 + 4/5*z = 0.
-2, 4
Let q(d) be the first derivative of -165/8*d**2 + 87 - 27/16*d**4 + 87/4*d**3 + 27/4*d. Factor q(j).
-3*(j - 9)*(3*j - 1)**2/4
Let q(h) = 3*h**2 - 90*h - 291. Let i(r) = -r**2 + 45*r + 146. Let t(z) = -9*i(z) - 4*q(z). Let t(g) = 0. Calculate g.
-10, -5
Let w = 147605 + -147603. Determine l, given that 0 + 294/5*l**w + 42/5*l**3 + 686/5*l + 2/5*l**4 = 0.
-7, 0
Suppose -15*z + 10*z = -25. Suppose 30 - 4 = 3*i - 4*p, -z*i - p + 5 = 0. Let 2*c**4 - c**3 + c + 3*c**4 + c**4 - 5*c**4 - c**i = 0. Calculate c.
-1, 0, 1
Let x(a) be the first derivative of 0*a**2 + 3/4*a**4 - 11/12*a**3 - 1/20*a**5 + 0*a + 59. Let x(v) = 0. What is v?
0, 1, 11
Suppose 4*d + 2*r = 70, -462 + 412 = -2*d + 4*r. Let b(u) be the first derivative of -16/3*u**3 - 2/3*u**6 - 4*u**5 - 8*u**4 + 0*u + 0*u**2 - d. Factor b(o).
-4*o**2*(o + 1)*(o + 2)**2
Let b(g) = g + 72. Let x be b(-48). Let f(r) = -11*r + 264. Let p be f(x). What is h in 2/3*h - 2*h**4 - 10/3*h**2 + p + 14/3*h**3 = 0?
0, 1/3, 1
Let x(s) be the first derivative of -3*s**5 + 89 - 20*s**2 - 110/3*s**3 - 85/4*s**4 + 0*s. What is w in x(w) = 0?
-4, -1, -2/3, 0
Let n(l) = -l**3 - 11*l**2 + 10*l - 12. Let r be n(-12). Solve 8*u + 6*u**4 + 6*u**4 - r*u**3 + 16*u**5 + 20*u**4 - 2929*u**2 + 2909*u**2 = 0 for u.
-2, -1, 0, 1/2
Let x(g) be the second derivative of 5*g**4/12 + 8005*g**3/3 + 12816005*g**2/2 - 4726*g. Suppose x(q) = 0. What is q?
-1601
Let f(g) be the second derivative of g**7/84 - 5*g**6/3 - 78*g**5/5 - 158*g**4/3 - 212*g**3/3 + g + 6719. Suppose f(q) = 0. Calculate q.
-2, 0, 106
Let o be (-34)/2 - 3420/(-171). Let f(s) be the first derivative of 1/4*s**4 - 8/9*s**o + 2/3*s**2 + 0*s + 5. Solve f(l) = 0.
0, 2/3, 2
Let c(y) be the third derivative of 1/3*y**4 + 0 + 1/75*y**6 + 72*y - 7/15*y**3 - 3/25*y**5 + y**2 + 1/525*y**7. Factor c(x).
2*(x - 1)**3*(x + 7)/5
Suppose -555*h + 486*h = 0. Let q(o) be the first derivative of 22/5*o**5 + 5/3*o**6 + 0*o**2 - 44 + 2/3*o**3 + h*o + 7/2*o**4. Factor q(k).
2*k**2*(k + 1)**2*(5*k + 1)
Let t(z) be the second derivative of 0*z**4 + 0*z**3 + 1/20*z**6 + 0*z**2 + 16*z + 0 - 3/40*z**5. Find p such that t(p) = 0.
0, 1
Let k be -1*(-1 - (-14)/1). Let z(l) = l**2 + 11*l - 22. Let o be z(k). Find n, given that 2*n + 2*n**2 - o*n**3 + 6*n**3 + 3*n - 2 - 7*n = 0.
-1, 1
Let l(x) be the first derivative of 3*x**5/40 + 9*x**4 + 432*x**3 + 10368*x**2 - 62*x - 60. Let f(b) be the first derivative of l(b). What is d in f(d) = 0?
-24
Let v(y) be the second derivative of 0 - 33*y + 0*y**3 + 0*y**5 + 2/3*y**4 - 2*y**2 - 2/15*y**6. What is t in v(t) = 0?
-1, 1
Let r be 20/20 + (-4)/(12/(-957)). Factor -1176*v + 153*v - 177*v - r*v**2 - 1125.
-5*(8*v + 15)**2
Let o(a) be the second derivative of -a**4/12 - 113*a**3/6 + 57*a**2 + 2731*a. Factor o(r).
-(r - 1)*(r + 114)
Let h = 544172 + -1632514/3. Factor -h*v**2 + 0*v**3 + 0*v + 0 + 2/3*v**4.
2*v**2*(v - 1)*(v + 1)/3
Let n = -266 - -268. Let -12*y + 30*y**2 + 35*y**n - 67*y**2 = 0. What is y?
-6, 0
Solve 893/4*m**4 - 198915/4*m**3 - 199809/4*m**2 + 0*m + 0 - 1/4*m**5 = 0 for m.
-1, 0, 447
Factor -2*h - 10 + 348*h + 193*h - 92 + 57*h**2 + 424*h.
3*(h + 17)*(19*h - 2)
Let w be 48/54*(2 - (-1677)/(-834)). Let r = 4102/7089 - w. Solve -8/17*h**2 - 4/17 + 2/17*h**3 + r*h = 0 for h.
1, 2
Let b(v) = 5*v**3 - 5*v**2 + 15*v + 86. Let t be b(-6). Let j = t - -1264. Factor 0*l + 2/5*l**3 + j - 2/5*l**2.
2*l**2*(l - 1)/5
Suppose -345*s**4 + 5*s**5 - 185*s**2 + 70*s + 668*s**4 + 165*s**3 - 378*s**4 = 0. What is s?
0, 1, 2, 7
Suppose 1171*s = -973*s + 106*s + 4076. Determine v so that 2/5*v - 6/5*v**s + 6/5*v**3 - 2/5*v**4 + 0 = 0.
0, 1
Let m = -13586 - -54349/4. Let q(u) be the first derivative of 1/6*u**3 + 25 + m*u**2 + 2*u. Factor q(x).
(x + 1)*(x + 4)/2
Suppose 14*y - 12*y = 0, y + 5 = g. Find s, given that s**5 - 104*s**4 - g*s**5 + 100*s**4 + 8*s**3 = 0.
-2, 0, 1
Let q(g) be the first derivative of -8/3*g**3 + 5 + 35/6*g**2 - 3*g**4 + 25/3*g. Factor q(j).
-(j - 1)*(6*j + 5)**2/3
Suppose -2*c + 4*c = 5*l + 29, 4*l - 100 = -4*c. Let z be ((-44)/(-110))/(c/10). Find q such that z*q**2 + 2/11 - 4/11*q = 0.
1
Factor 24/7*j + 2/7*j**2 + 72/7.
2*(j + 6)**2/7
Solve -1269/7*o**3 - 7367/7*o**2 - 5618/7*o + 0 - 25/7*o**5 + 65*o**4 = 0.
-2, -1, 0, 53/5
Let g = -105374 - -316126/3. Factor 34/3*r - 4 - g*r**3 - 6*r**2.
-2*(r - 1)*(r + 6)*(2*r - 1)/3
Let z = -15770 + 47350/3. Factor z - 15*m + 5/3*m**2.
5*(m - 8)*(m - 1)/3
