33/2*w**2 + 72. Factor n(t).
-3*(t + 1)*(t + 10)
Let c(g) be the first derivative of -4/15*g**3 + 24/5*g**2 - 22 - 144/5*g. Factor c(q).
-4*(q - 6)**2/5
Let i(u) = -9*u**3 + 19*u**2 - 4*u - 16. Suppose 0 = 11*s + 53 + 24. Let m(d) = -17*d**3 + 37*d**2 - 7*d - 33. Let x(j) = s*i(j) + 4*m(j). Factor x(h).
-5*(h - 2)**2*(h + 1)
Suppose -3*y - 5*z = -75, -2*y - 1000*z - 14 = -1002*z. Factor -1/4*o**3 - 1/2*o**2 + y*o - 6.
-(o - 2)**2*(o + 6)/4
Let f(z) be the third derivative of -z**5/360 - 67*z**4/12 - 4489*z**3 + 3*z**2 - 19. What is a in f(a) = 0?
-402
Let s(c) be the third derivative of -1/420*c**6 - c**2 + 31/84*c**4 + 16/21*c**3 + 1/15*c**5 - 51*c + 0. Factor s(b).
-2*(b - 16)*(b + 1)**2/7
Let z(y) be the first derivative of -1/27*y**6 + 139 + 36*y + 4/5*y**5 - 13/3*y**4 - 104/27*y**3 + 23*y**2. What is w in z(w) = 0?
-1, 2, 9
Suppose 95*w - 110*w + 61 = 1. Determine m so that 1/4*m**w - 4 + 4*m - m**3 + 0*m**2 = 0.
-2, 2
Let m = 503 - 505. Let a(t) = -5*t**3 + 46*t**2 - 164*t + 160. Let u(g) = -2*g**2 - 2*g. Let f(y) = m*u(y) + a(y). Factor f(x).
-5*(x - 4)**2*(x - 2)
Let l be 5/((20034/(-72))/(-21) + -12). What is w in 0 + 0*w + 2*w**l - 3*w**3 - 1/3*w**5 + 4/3*w**2 = 0?
0, 1, 4
Let l(f) be the first derivative of f**4/12 - 736*f**3/9 + 44895*f**2/2 + 90774*f + 1159. Solve l(d) = 0.
-2, 369
Let q(u) be the third derivative of u**8/252 + u**7/315 - 3*u**6/10 - 14*u**5/45 + 25*u**4/9 + 25*u**3/3 - 1770*u**2. Let q(o) = 0. Calculate o.
-5, -1, 3/2, 5
Let q(s) = 99*s**4 + 118*s**3 - 50*s**2 - 45*s. Let u(l) = 3*l**5 + 2*l**3 - 2*l**2 + l. Let o(z) = -q(z) + 3*u(z). Determine y so that o(y) = 0.
-1, -2/3, 0, 2/3, 12
Let f(i) = -105*i**3 + 11162*i**2 - 1250*i - 1312. Let j(c) = 105*c**3 - 11160*c**2 + 1251*c + 1308. Let w(g) = 9*f(g) + 10*j(g). Solve w(x) = 0.
-2/7, 2/5, 106
Let k be (-3)/(48/8) + 14/(336/30). Factor 1/2*m**2 + 1/4*m**5 - 1/2*m**4 - m**3 + 0 + k*m.
m*(m - 3)*(m - 1)*(m + 1)**2/4
Let j(x) be the first derivative of 1/2*x**4 - 4/3*x**3 - 9*x**2 - 2 + 36*x. Factor j(m).
2*(m - 3)*(m - 2)*(m + 3)
Let o(c) = 4*c**2 - 17*c + 98. Let b(f) = -f**2 + 5*f - 34. Let p(r) = -7*b(r) - 2*o(r). Solve p(k) = 0.
-7, 6
Determine g, given that 3*g**4 + g + 0 - 5*g**5 + 43/4*g**3 + 6*g**2 = 0.
-1/2, -2/5, 0, 2
Let n(a) be the third derivative of a**8/3360 + a**7/1050 - a**6/1200 - a**5/300 - 5*a**2 - 26*a. Find t such that n(t) = 0.
-2, -1, 0, 1
Let m(z) be the third derivative of -1/210*z**8 - 1 + 7/75*z**7 + 61/75*z**5 - 4*z**2 - 3/5*z**6 + 0*z + 14/3*z**4 - 5*z**3. Let m(w) = 0. Calculate w.
-1, 1/4, 3, 5
Let r = -658 + 394. Let c = -262 - r. Factor -4/7*o**3 + 10/7*o + 8/7 - c*o**2.
-2*(o - 1)*(o + 4)*(2*o + 1)/7
Let y(r) be the third derivative of -2*r - r**2 - 5/8*r**4 + 0 - 1/20*r**5 + 0*r**3. Solve y(u) = 0 for u.
-5, 0
Let t(d) be the first derivative of d**3 + 6*d**2 - 231*d + 715. Factor t(w).
3*(w - 7)*(w + 11)
Let f(t) = -t - 1. Let c be f(-6). Suppose c*l - 49 = -4*z, 0*z - 3*z + 2*l + 8 = 0. Let -12 + 7*j - 3*j - 4*j**3 + z*j**2 + 6*j**2 = 0. What is j?
-1, 1, 3
Suppose 94*q - 21 = 219 + 42. Let g(n) be the first derivative of 9/4*n**4 + 5/6*n**6 + 0*n**2 + 12/5*n**5 + 2/3*n**q + 0*n + 25. Factor g(v).
v**2*(v + 1)**2*(5*v + 2)
Factor -19/6*w + 10/3 - 1/6*w**2.
-(w - 1)*(w + 20)/6
Let j(x) = -26*x + 56. Let c be j(2). Let p be (25/(-20))/(-1 + 3/c). Determine n, given that 0 - 2*n**p - 41/3*n**3 + 59/6*n**4 - n + 41/6*n**2 = 0.
0, 1/4, 2/3, 1, 3
Let l(m) be the second derivative of -m**7/5040 + 31*m**6/1440 + 45*m**4/4 - 150*m. Let j(w) be the third derivative of l(w). Suppose j(u) = 0. Calculate u.
0, 31
Find r such that -584/5 - 2/5*r**2 + 296/5*r = 0.
2, 146
Let u(n) be the second derivative of -n**5/12 - 35*n**4/6 + 43*n**2/2 - 3*n + 5. Let h(v) be the first derivative of u(v). Factor h(o).
-5*o*(o + 28)
Let j(m) be the second derivative of m**7/105 - 62*m**6/75 + 448*m**5/25 + 1024*m**4/15 + m + 620. Factor j(w).
2*w**2*(w - 32)**2*(w + 2)/5
Suppose 973*v - 312 = 895*v. Factor 2/3*r**3 + v + 2/3*r - 8/3*r**2.
2*(r - 3)*(r - 2)*(r + 1)/3
Let t = 305 - 249. Suppose 22*d**2 + t + 8*d**2 - 2*d**3 - 184 - 128*d + 32*d = 0. Calculate d.
-1, 8
Let p be (-12)/((-75)/(-72)*6 - 4) - -6. Suppose -2*f**3 - p - 10/3*f - 14/3*f**2 = 0. Calculate f.
-1, -1/3
Let u(y) be the first derivative of y**8/560 + y**7/175 - y**5/50 - y**4/40 - y**2/2 + 2*y - 90. Let i(j) be the second derivative of u(j). Factor i(c).
3*c*(c - 1)*(c + 1)**3/5
Let i = 36553/73130 - -6/36565. Let y = 18 + -16. Let -i*l**3 + 3*l**2 - 4 - 1/2*l**4 + y*l = 0. What is l?
-2, 1, 2
Let q(c) = c**3 + c**2 + 773. Let l be q(0). Let i = 778 - l. Factor 0*r**4 - 2/5*r**3 + 0*r**2 + 0 + 2/5*r**i + 0*r.
2*r**3*(r - 1)*(r + 1)/5
Let p(k) be the first derivative of -k**5/15 - 34*k**4/9 - 578*k**3/9 - 93*k + 91. Let f(w) be the first derivative of p(w). Solve f(c) = 0 for c.
-17, 0
Let d(h) be the second derivative of 0 + 1/3*h**3 - 1/10*h**5 + 1/10*h**6 - 8*h - 1/4*h**4 + 0*h**2. Factor d(z).
z*(z - 1)*(z + 1)*(3*z - 2)
Let k(g) = g**2 + 6*g - 19. Let z be k(-9). Let p be z/(-2 - -4) - -2. Suppose 5*v**3 + 3*v - 3*v**2 + 3*v**3 - p*v**3 - v**3 - 1 = 0. What is v?
1
Let f(k) be the second derivative of -k**6/6 + 75*k**5/4 + 95*k**4/3 + 5*k + 69. Determine b, given that f(b) = 0.
-1, 0, 76
Let b(d) be the second derivative of 14 - 7/3*d**2 - 6*d - 1/90*d**4 + 4/5*d**3. Solve b(o) = 0 for o.
1, 35
Let n(f) be the first derivative of f**5/30 - 5*f**4/6 + f**2/2 + 11*f + 42. Let w(v) be the second derivative of n(v). Factor w(z).
2*z*(z - 10)
Let w(s) be the first derivative of s**6/120 - s**5/6 - 23*s**4/24 - 2*s**3 - 33*s**2 - s - 93. Let c(r) be the second derivative of w(r). Factor c(m).
(m - 12)*(m + 1)**2
Let v = -670 - -467. Let l = v + 208. Let 10/3*i**2 - 2/3*i**4 - 2/3*i**l + 0 + 2*i**3 + 4/3*i = 0. Calculate i.
-1, 0, 2
Let y(t) be the first derivative of -1/63*t**6 + 2/105*t**5 - 118 + 0*t**2 + 0*t**4 + 0*t**3 + 0*t. Factor y(c).
-2*c**4*(c - 1)/21
Let b be ((-4)/8)/((-1)/6). Factor -26*j**2 - 63*j - 97*j - 42*j**2 + 1200 + 18*j**3 - 22*j**b.
-4*(j - 3)*(j + 10)**2
Let j(y) be the second derivative of -y**6/40 + 3*y**4/2 - 8*y**3 + 18*y**2 + 733*y. Factor j(t).
-3*(t - 2)**3*(t + 6)/4
Let p be (2/(-6) - (-880)/192) + (-12)/3. Suppose 250*c**5 - 15/2*c - 485/2*c**3 - 299/4*c**2 - p + 75*c**4 = 0. Calculate c.
-1, -1/10, 1
Let u be (-10)/(-3)*120/50. Suppose -4*s + 5*x = 17, 2*s + 4*x = -u + 32. Determine t, given that 741*t - 6*t**s + 3*t**4 - 3*t**2 - 735*t = 0.
-2, 0, 1
Factor 0 + 60*h - 57*h**2 + 33/2*h**3 - 3/2*h**4.
-3*h*(h - 5)*(h - 4)*(h - 2)/2
Let p(f) = -2*f**5 - 24*f**4 - 20*f**3 + 14*f**2 + 2*f. Let z(u) = -u**4 - u**3 - u. Let h(g) = 2*p(g) - 20*z(g). Let h(b) = 0. What is b?
-6, -1, 0, 1
Let b(z) be the first derivative of 1/3*z**3 - 1/16*z**4 + 0*z - 1/2*z**2 + 267. Suppose b(i) = 0. What is i?
0, 2
Let v be 30/(-171)*(-69)/(-460)*-4. Solve -v*j**2 - 84/19*j - 882/19 = 0 for j.
-21
Find s, given that -3*s**3 + 79*s**2 + 133*s**2 + 450 - 604*s - 179*s + 22*s**2 + 102*s = 0.
1, 2, 75
Let z(y) be the first derivative of 5/12*y**4 - 1/4*y**5 + 5 + 5/6*y**3 - 17/2*y**2 + 0*y. Let b(s) be the second derivative of z(s). Factor b(k).
-5*(k - 1)*(3*k + 1)
Let t(j) be the first derivative of -6*j - 10*j**3 - 7/4*j**4 - 29/2*j**2 + 7. Suppose t(q) = 0. Calculate q.
-3, -1, -2/7
Let w(p) be the first derivative of 3/8*p**2 + 0*p - 3/40*p**5 - 33 + 15/32*p**4 - 1/48*p**6 - 17/24*p**3. Suppose w(q) = 0. Calculate q.
-6, 0, 1
Let i(h) be the third derivative of h**8/1512 + h**7/135 - h**6/90 - 41*h**5/135 + 5*h**4/108 + 25*h**3/9 + 1224*h**2. Determine m, given that i(m) = 0.
-5, -1, 1, 3
Let c be -12*15/720*0/6. Factor 1/2*k**2 + c*k + 1/6*k**3 - 2/3.
(k - 1)*(k + 2)**2/6
Find t, given that -2/9*t**3 - 2*t**2 + 110/3 + 74/9*t = 0.
-11, -3, 5
Let l(p) = -3*p**2 + p. Let t(q) = 17*q**2 - 329*q + 13122. Suppose 5*u + 35 = 5*i, -5*u - 5*i - 8 = 7. Let n(y) = u*l(y) - t(y). Solve n(v) = 0.
81
Factor 0 + 44/5*x - 1/5*x**4 + 37/5*x**2 - 8/5*x**3.
-x*(x - 4)*(x + 1)*(x + 11)/5
Let s(w) = -w**4 - 8059*w**3 - 10813836*w**2 - 4833779317*w + 4844601220. Let u(t) = t**4 - 3*t**3 + 3*t + 6. Let z(d) = -s(d) + u(d). Factor z(r).
2*(r - 1)*(r + 1343)**3
Find r such that 492*r - 612 - 3*r**3