o + 41 - 47. Factor -771*w + 1515*w - o*w**2 - 780*w.
-3*w*(w + 12)
Let f = -93 + 111. Let x = f + -15. What is m in -m - 12 + m**2 - 17*m + m**x + 0*m + 10*m = 0?
-2, 3
Let s = 38229 - 38227. Determine l, given that 507/2 + 3/2*l**s - 39*l = 0.
13
Let w(z) = -20*z**2 - 4*z - 2 - 19*z**2 - 3*z**3 + 26*z**2 + 2*z**3. Let a be w(-13). Factor -2*r**4 - 4*r**3 - a*r**2 + 20*r**2 + 28*r**2.
-2*r**2*(r + 1)**2
Let r(u) = -3*u**4 - 21*u**3 + 136*u**2 - 122*u. Let p(s) = 2*s**4 - s**3 - s**2 + 5*s. Let w(n) = -4*p(n) - 2*r(n). Find t such that w(t) = 0.
0, 1, 8, 14
Factor -25*r**2 + 600 + 31*r**2 + 74*r**2 - 4*r**3 - 871*r + 1347*r.
-4*(r - 25)*(r + 2)*(r + 3)
Factor 180 - 180*f**2 - 3/2*f**3 + 3/2*f.
-3*(f - 1)*(f + 1)*(f + 120)/2
Let d(q) be the first derivative of 10*q**2 - 60*q + 5*q**3 - 111 - 5/4*q**4. Let d(t) = 0. What is t?
-2, 2, 3
Let y(r) = 7*r**3 - 339*r**2 + 761*r - 168. Let w(h) = -6*h**3 + 341*h**2 - 760*h + 168. Let n(i) = -3*w(i) - 2*y(i). Find c, given that n(c) = 0.
1/4, 2, 84
Let v(k) be the first derivative of -k**7/1260 + 7*k**6/240 - k**5/3 + 25*k**4/36 + 2*k**2 - 13*k - 128. Let b(r) be the second derivative of v(r). Factor b(w).
-w*(w - 10)**2*(w - 1)/6
Let m be (20/(-35))/((-4)/14). Suppose -5*b = -m*h - h + 10, 5*b + h - 10 = 0. Factor -b + 2*y**2 + 0 + 1.
2*y**2
Let k(g) = g**4 + g**3 + g. Let l = 142 + -147. Let a(x) = -11*x**4 - 13*x**3 - 2*x**2 - 4*x. Let d(q) = l*a(q) - 20*k(q). Factor d(u).
5*u**2*(u + 1)*(7*u + 2)
Let z be (8/(-5))/(((-15)/25)/3). Let b(s) be the second derivative of 2/17*s**2 - z*s - 1/51*s**4 + 1/170*s**5 - 1/51*s**3 + 0. Factor b(a).
2*(a - 2)*(a - 1)*(a + 1)/17
Let j = 312 - 307. Solve -5*p + 10*p - j*p - 30*p**2 - 4*p**3 + 3*p**4 - 5*p**3 = 0 for p.
-2, 0, 5
What is i in -3*i**3 + 3827396*i - 84*i**2 - 3827396*i = 0?
-28, 0
Suppose q = -3*u + 3, -3*u - u + 4*q + 20 = 0. Let r = -2 + u. Find l such that 4 - 2*l**2 - 2*l**3 + 4*l + r*l - 2 - 2*l = 0.
-1, 1
Let i(t) be the third derivative of 2/45*t**5 + 0*t**3 - 1/6*t**4 - 1/360*t**6 + 0*t - 142*t**2 + 0. Factor i(o).
-o*(o - 6)*(o - 2)/3
Let v(c) be the first derivative of -c**5/80 + 7*c**4/24 + c**3/24 - 7*c**2/4 - 202*c - 23. Let w(d) be the first derivative of v(d). Solve w(g) = 0.
-1, 1, 14
Let f(o) be the second derivative of -o**4/12 - 247*o**3/3 - 2*o - 5588. Suppose f(z) = 0. What is z?
-494, 0
Let u(v) be the second derivative of -12*v**2 + 15/2*v**4 + 0 + 3/4*v**5 + 12*v - 10*v**3 - 7/10*v**6. Find q, given that u(q) = 0.
-2, -2/7, 1, 2
Let m(a) = -16*a + 802. Let g be m(50). Find s such that 17/7*s**3 + 4/7*s**4 - 17/7*s + 0*s**g - 4/7 = 0.
-4, -1, -1/4, 1
Find q, given that 12/7*q**2 - 216/7 + 108/7*q**3 - 316/7*q - 4/7*q**4 = 0.
-1, 2, 27
Let p(a) be the third derivative of a**5/180 - 8*a**4/9 - 787*a**2. Factor p(z).
z*(z - 64)/3
Suppose -10 = -2*t - 2*j, 3*j = 3*t - 0*j - 3. Let b(c) be the first derivative of -1/7*c**t - 8 + 9/14*c**2 - 6/7*c. Factor b(v).
-3*(v - 2)*(v - 1)/7
Let g(x) = x**3 + 11*x**2 + 19*x + 11. Let c be g(-9). Let -c*u**2 + 5*u**2 - 3*u**4 - 312 + 312 = 0. What is u?
-1, 0, 1
Let a(d) be the first derivative of 2*d**3/57 + 5*d**2/19 - 300*d/19 - 2393. Factor a(o).
2*(o - 10)*(o + 15)/19
Let n(i) = 2*i**2 - 6*i - 7. Let d be n(6). Let c = 31 - d. Factor -5*a + a**2 - 3*a**c + 7*a**2 + 8*a**3 - 3*a**3 - 5.
5*(a - 1)*(a + 1)**2
Let x(f) be the second derivative of -9*f**5/16 - 41*f**4/24 + 52*f**3/3 + 12*f**2 + 5*f + 2. Let x(w) = 0. Calculate w.
-4, -2/9, 12/5
Suppose v = 15*v - 14. Let q(g) = g + 3*g**2 + 5 - 6 - 2*g**2. Let x(l) = -5*l**2 + 9. Let o(n) = v*x(n) + 4*q(n). What is i in o(i) = 0?
-1, 5
Let k(c) be the second derivative of -c**4/12 - 35*c**3/6 + 172*c**2 + 459*c. Suppose k(t) = 0. What is t?
-43, 8
Let l be (195/1700)/13*142/(-3). Let b = l - -21/34. Suppose -1/5*p**3 + b*p - 2/5 + 2/5*p**2 = 0. Calculate p.
-1, 1, 2
Let o(g) be the second derivative of -16*g + 3*g**3 + 0*g**2 + 0 + 1/360*g**6 - 1/20*g**5 + 3/8*g**4. Let l(x) be the second derivative of o(x). Factor l(n).
(n - 3)**2
Let k(a) = -15*a**2 - 25*a - 45. Let y(x) be the third derivative of -17*x**5/60 - x**4 - 23*x**3/3 - 4*x**2. Let d(b) = 6*k(b) - 5*y(b). Factor d(u).
-5*(u + 2)*(u + 4)
Let p(h) be the second derivative of 2*h**6/15 + 4*h**5/5 - 37*h**4/3 + 136*h**3/3 - 72*h**2 - 1785*h. Determine c, given that p(c) = 0.
-9, 1, 2
Let n(m) be the first derivative of -56 - 3/2*m**4 - 3*m**3 + 12*m - 1/5*m**5 + 2*m**2. Factor n(y).
-(y - 1)*(y + 2)**2*(y + 3)
Let k(r) be the third derivative of 0*r + 0*r**3 + 0 - 75*r**2 - 1/5*r**4 + 1/75*r**5. Solve k(s) = 0.
0, 6
Let s(m) be the first derivative of 4/9*m**3 + 2704/3*m - 104/3*m**2 - 18. Find c, given that s(c) = 0.
26
Let p be 130/(-1512) - (-4)/42. Let g(t) be the third derivative of 1/36*t**4 - 22*t**2 + 7/270*t**5 + 0*t**3 + p*t**6 + 0 + 0*t + 1/945*t**7. Factor g(h).
2*h*(h + 1)**2*(h + 3)/9
Find p, given that 400/7*p + 2/7*p**2 - 402/7 = 0.
-201, 1
Suppose 8131*z = 3985*z + 3902*z + 5856. Solve 8*r**2 - z*r - 2/3*r**3 + 0 = 0 for r.
0, 6
Let z(m) be the first derivative of 3*m**5/40 - 15*m**4/32 - 5*m**3/4 + 15*m**2 - 36*m + 4113. Find n, given that z(n) = 0.
-4, 2, 3, 4
Let m(j) = -23*j + 42. Let s be m(-8). Suppose 3*d = 14 + s. Factor 6 + 5*b**3 + d*b - 65*b - 2 + 15*b**2 + 1.
5*(b + 1)**3
Suppose -13*z = -8*z + 145. Let x = 29 + z. Factor -24*a + x + 3 - 15 - 20*a**2 - 4*a**3 - 4*a.
-4*(a + 1)**2*(a + 3)
Let z = -266531 + 266533. Solve 2/15*w**z - 12/5 + 2/15*w**4 + 14/5*w - 2/3*w**3 = 0 for w.
-2, 1, 3
Let x(n) be the third derivative of n**9/272160 + 13*n**8/45360 + 169*n**7/22680 + 73*n**5/20 + 25*n**2. Let p(f) be the third derivative of x(f). Factor p(v).
2*v*(v + 13)**2/9
Find h, given that 3*h**3 - 234*h**2 - 24*h + 8*h**3 + 226*h**2 - 5*h**3 + 4*h**3 = 0.
-6/5, 0, 2
Suppose 2*u - 30 = -5*z, z - u - 3 + 4 = 0. Let p be (6 - 7)/(2/(-4)) + z. Find n such that 0*n + 2*n**2 - 6*n**2 + p*n**3 - 4*n**3 + 2*n = 0.
0, 1
Let a(j) be the second derivative of -j**6/480 - j**5/60 - 5*j**4/96 - j**3/12 + 45*j**2/2 - j - 3. Let m(f) be the first derivative of a(f). Factor m(o).
-(o + 1)**2*(o + 2)/4
Factor -8 + 2/5*u**2 + 16/5*u.
2*(u - 2)*(u + 10)/5
Suppose -331*g = -1135 + 142. Suppose 6/7*o**2 + 0 - 15/7*o**4 + 0*o - 9/7*o**g = 0. What is o?
-1, 0, 2/5
Factor -1/4*t**3 - 45/2*t**2 - 2457/4*t - 4563.
-(t + 12)*(t + 39)**2/4
Let i(v) = v**2 - 4*v + 3. Let x(z) = -z + 1. Let y(p) = i(p) - 4*x(p). Let u(f) = 179*f**2 - 24*f - 5. Let a(n) = 2*u(n) + 6*y(n). Let a(k) = 0. Calculate k.
-2/13, 2/7
Suppose -5*w - 3*y = -14424, w - 19*y = -16*y + 2874. Let 5*s**2 - 126*s + w - 11*s**2 - 60*s + 9*s**2 = 0. Calculate s.
31
Let c be 55/(-33)*12/(-15). Let b(w) be the first derivative of c*w**5 + 7 - 10/3*w**2 + 4/3*w + 40/9*w**3 - 2/9*w**6 - 10/3*w**4. Factor b(h).
-4*(h - 1)**5/3
Let a(r) be the second derivative of -2 + 5/3*r**4 + 0*r**2 - 12*r - 5/2*r**3. What is w in a(w) = 0?
0, 3/4
Let c(h) be the first derivative of -6*h + 63/2*h**2 - 81/2*h**6 + 94 + 216/5*h**5 + 45*h**4 - 70*h**3. What is s in c(s) = 0?
-1, 2/9, 1/3, 1
Factor 30*h**3 + h**4 + 1 - 54*h**3 + h**5 - 10*h**2 + 4*h**4 + h + 4 + 22*h**3.
(h - 1)**2*(h + 1)**2*(h + 5)
Let z(w) be the third derivative of -w**5/60 + 335*w**4/24 - 21*w**2. Factor z(u).
-u*(u - 335)
Let m(x) be the third derivative of -x**6/240 - x**5/32 - 3*x**4/32 - 7*x**3/48 - 2*x**2 - 616*x. Factor m(z).
-(z + 1)**2*(4*z + 7)/8
Let y = 39 - 80. Let j = 41 + y. What is g in j*g**2 - 4*g**2 + 10*g + 9*g**2 = 0?
-2, 0
Let t(n) be the third derivative of -31*n**5/4 + 475*n**4/24 - 5*n**3/3 + 1561*n**2. Solve t(l) = 0.
2/93, 1
Let b(v) be the third derivative of v**6/360 - 40*v**5/9 + 53599*v**4/24 - 17689*v**3 + 56*v**2 - v - 17. Let b(j) = 0. What is j?
2, 399
Let o(i) = i**3 - 68*i**2 - 384*i + 960. Let v(t) = -t**3 - 2*t**2 - t. Let s(q) = -o(q) + 4*v(q). Suppose s(f) = 0. Calculate f.
-6, 2, 16
Let p(b) be the third derivative of 11*b**5/270 + 67*b**4/54 + 8*b**3/9 - 277*b**2 + 2*b. Find n, given that p(n) = 0.
-12, -2/11
Let r be ((-2)/20)/((-122)/12 - -10). Suppose 0 = 4*n + 2*n - 18. Let r*q**4 + 0 + 48*q**2 + 51/5*q**n + 192/5*q = 0. What is q?
-8, -1, 0
Let v(g) be the second derivative of 2*g + 7/48*g**3 - 7/160*g**5 - 1/60*g**6 + 3/16*g**2 + 1/96