rivative of -c**6/3 + c**4/2 + 68. What is w in i(w) = 0?
-1, 0, 1
Let g(q) = -102*q**2 - 126*q - 123. Let f(v) = -57*v**2 - 63*v - 61. Let z(w) = 9*f(w) - 5*g(w). Determine t, given that z(t) = 0.
-1, 22
Let u = 3 + 3. Suppose -u = -m - m. Factor 2*r**2 + 2*r + r + m*r + 2*r + 8.
2*(r + 2)**2
Let q(n) be the first derivative of n**4/2 + 8*n**3 - 13*n**2 - 856. Factor q(b).
2*b*(b - 1)*(b + 13)
Let h = -13 + 16. What is r in -36*r**2 + 16*r**2 + 4 + r**3 + 32*r - 20 + h*r**3 = 0?
1, 2
Let t = -19/744 + 14/93. Suppose 1/8*r**3 + 1/8*r**4 + 1/4 - t*r - 3/8*r**2 = 0. Calculate r.
-2, -1, 1
Let f(v) be the third derivative of -7*v**5/270 + 59*v**4/27 + 68*v**3/27 - 248*v**2. Solve f(y) = 0 for y.
-2/7, 34
Let z(q) be the third derivative of q**6/60 - 6*q**5/5 + 11*q**4 - 128*q**3/3 + 149*q**2. Factor z(p).
2*(p - 32)*(p - 2)**2
Let w be (94/48)/(49/(-14)). Let m = 3/28 - w. Let 7/3*y**4 + 4/3*y**5 - 7/3*y**2 + 0 - 2*y**3 + m*y = 0. What is y?
-2, -1, 0, 1/4, 1
Let h = -108/143 - -2402/1287. Determine g, given that 2/9*g**2 + h*g + 0 = 0.
-5, 0
Suppose -21*v + t = -23*v + 12, 5*t = 6*v + 28. Find g, given that -2/7*g**3 + 10/7*g - 4/7*g**v + 12/7 = 0.
-3, -1, 2
Let n be (-12 + 4)/2*-2. Factor n*s + 6 - 2*s**2 - 14 + 2.
-2*(s - 3)*(s - 1)
Suppose -7*y + 2*y = -45. Let l(q) be the third derivative of 0 + 0*q + 0*q**3 + y*q**2 + 1/4*q**5 - 1/8*q**4. Find g, given that l(g) = 0.
0, 1/5
Let g be ((-304)/(-24) - 3) + -7. Let -4/3*a**3 + 4/3*a**4 - g*a**2 + 2/3*a + 2/3*a**5 + 4/3 = 0. Calculate a.
-2, -1, 1
Let b(y) = -y - 4. Suppose -14 = -5*a - 49. Let j be b(a). Let 0*g**2 + 5*g + 2*g - g - j*g**2 = 0. Calculate g.
0, 2
Let q(l) be the second derivative of 0 + 2/21*l**3 + 0*l**2 - 5/42*l**4 + 23*l. Factor q(g).
-2*g*(5*g - 2)/7
Let l be 168 + (-7 - (-5 - 2)). Let g be ((-1648)/l - -10)*(-6)/(-4). What is r in 0*r + 0 + g*r**2 - 3/7*r**3 = 0?
0, 2/3
Factor -260*n + 0*n**3 + 12*n**3 + 280 + 50*n**2 - 7*n**3.
5*(n - 2)**2*(n + 14)
Let z = -26366 - -26368. Factor o + 1/4*o**z + 3/4.
(o + 1)*(o + 3)/4
Let w(c) = 4*c**2 - 4*c + 6. Let o(a) = 36*a + 2 + 23 + 17*a**2 + 0 - 51*a. Let f be 14 + -12 - (4 - 0 - 0). Let d(u) = f*o(u) + 9*w(u). Factor d(t).
2*(t - 2)*(t - 1)
Factor 47/3*n**2 - 2*n - 7/3*n**4 - 34/3*n**3 + 0.
-n*(n - 1)*(n + 6)*(7*n - 1)/3
Let g(x) be the third derivative of x**9/5040 - x**7/1400 + x**3/6 + 19*x**2. Let q(y) be the first derivative of g(y). Factor q(n).
3*n**3*(n - 1)*(n + 1)/5
Let b(q) be the first derivative of 2*q**5/35 + q**4 - 32*q**3/21 - 2*q**2 + 30*q/7 - 107. Solve b(c) = 0.
-15, -1, 1
Let u(d) be the first derivative of d**6/6 - 14*d**5/25 + d**4/10 + 16*d**3/15 - 7*d**2/10 - 2*d/5 + 225. Determine s, given that u(s) = 0.
-1, -1/5, 1, 2
Determine t so that -15/2*t**3 + t**4 + t**2 + 25 + 105/2*t = 0.
-2, -1/2, 5
Let u(t) = -t**3 + 9*t**2 - 15*t. Let r be u(6). Let j be (4/18)/(10/r). Factor 0 + 1/5*w**3 + j*w**2 + 0*w.
w**2*(w + 2)/5
Let q = -52 - -51. Let n(c) = -9*c**3 - 24*c**2 + 5*c + 16. Let t(i) = i**3 + i**2 + 1. Let x(b) = q*n(b) - 4*t(b). Factor x(h).
5*(h - 1)*(h + 1)*(h + 4)
Let k(h) be the second derivative of 0 + 29*h - 15/2*h**2 - 10/3*h**3 - 5/12*h**4. Find b, given that k(b) = 0.
-3, -1
Let b = -789 - -789. Let y(w) be the third derivative of b*w + 0*w**3 + w**2 + 0 - 1/20*w**5 - 1/8*w**4. Let y(g) = 0. What is g?
-1, 0
Let i(d) = -d**2 + 22*d + 78. Let s be i(25). Let z(r) be the second derivative of -r**s - 1/4*r**4 + 0 + 9/2*r**2 - 2*r. Factor z(w).
-3*(w - 1)*(w + 3)
Let p(n) be the first derivative of n**8/336 - n**7/56 + n**6/36 + 13*n**3/3 + 15. Let m(l) be the third derivative of p(l). Let m(r) = 0. Calculate r.
0, 1, 2
Find s such that 6/7*s**4 + 2/7*s**5 - 2*s**2 + 0 + 12/7*s - 6/7*s**3 = 0.
-3, -2, 0, 1
Let m be (711/24)/(5/20). Let z = -118 + m. Factor -1/2 + z*w**2 - 7/4*w + 7/4*w**3.
(w - 1)*(w + 1)*(7*w + 2)/4
Let z(k) = 10*k**2 + 380*k - 5. Let j(d) = -5*d**2 - 188*d + 2. Let r(c) = -5*j(c) - 2*z(c). Determine b, given that r(b) = 0.
-36, 0
Let j(h) be the third derivative of h**8/560 - h**7/140 - h**6/120 + h**5/20 + 13*h**3/6 - 7*h**2. Let n(c) be the first derivative of j(c). Factor n(z).
3*z*(z - 2)*(z - 1)*(z + 1)
Let r be (-4)/34 - (-8321)/1802. Let n(g) be the first derivative of -r*g**4 - 16*g - 5 - 4*g**3 + 20*g**2. Find v, given that n(v) = 0.
-2, 2/3
Suppose 169*w**2 - 87*w**2 - 410*w - 8405 - 87*w**2 = 0. What is w?
-41
Suppose -4*a + p + 10 = -2, 5*p = 0. Suppose -w = a*i - 4, 0*w + 3*w - 32 = -4*i. Factor w*m**3 + 8*m**2 - 2*m**2 - 19*m**3.
-3*m**2*(m - 2)
Let g(v) be the third derivative of -v**8/26880 - v**7/1680 - v**6/240 - v**5/60 - 11*v**4/24 + 6*v**2. Let c(l) be the second derivative of g(l). Factor c(i).
-(i + 2)**3/4
Let k(b) = 2*b**4 + 1. Let c(d) = -d**5 + 6*d**4 - 8*d**3 + 10*d**2 + 9*d + 8. Let r(w) = -c(w) + 8*k(w). Factor r(m).
m*(m - 1)*(m + 1)**2*(m + 9)
Suppose o = -p - 3, -2*p - 12 = 2*o - 3*o. Determine f, given that 0 + 8/3*f**o + 4/3*f**4 + 0*f + 2/3*f**5 - 14/3*f**3 = 0.
-4, 0, 1
Let q(x) = 32*x**2 - 1016*x + 13532. Let w(p) = 13*p**2 - 406*p + 5413. Let y(v) = -5*q(v) + 12*w(v). Factor y(m).
-4*(m - 26)**2
Factor -6/7*r**2 - 2/7*r**4 - 6/7*r**3 + 0 - 2/7*r.
-2*r*(r + 1)**3/7
Let -1/3*t**2 - 4*t + 0 = 0. What is t?
-12, 0
Suppose -55*t + 56*t - 8 = 0. Let -2 - 11*y**3 + 8*y**3 + 9*y + t = 0. Calculate y.
-1, 2
Let v(x) = -2*x**4 + 25*x**3 + 27*x**2 - 3*x + 3. Let w(s) = 10*s**4 - 126*s**3 - 136*s**2 + 14*s - 14. Let g(u) = 14*v(u) + 3*w(u). Factor g(n).
2*n**2*(n - 15)*(n + 1)
Solve -672*o + 75264 + 3/2*o**2 = 0.
224
Let l(u) be the first derivative of u**6/45 - 4*u**5/75 + u**4/30 - 234. Determine r, given that l(r) = 0.
0, 1
Let t = 1/205 - -611/820. Let p(b) be the first derivative of -2/5*b**5 + 0*b - 1/2*b**3 - 1/8*b**2 - t*b**4 - 1. Factor p(j).
-j*(2*j + 1)**3/4
Let d(k) be the third derivative of k**7/135 + 11*k**6/180 + 23*k**5/135 + k**4/9 - 8*k**3/27 - 39*k**2 + 2. Let d(q) = 0. Calculate q.
-2, -1, 2/7
Factor 5 + 21918*l**2 + l**4 + 4*l**4 - 21928*l**2.
5*(l - 1)**2*(l + 1)**2
Let o(b) be the first derivative of 6*b + 5/2*b**2 - 1/3*b**3 - 11. What is v in o(v) = 0?
-1, 6
Let p(j) = -j**2 - 2*j - 6. Let z = -5 + 0. Let y(r) = -14 + 24 - 6 - 3. Let s(c) = z*y(c) - p(c). Solve s(k) = 0.
-1
Let s(l) be the second derivative of 0*l**3 + 1/84*l**4 + 1/2*l**2 + 1/420*l**6 - 1/105*l**5 - 4*l + 0. Let z(p) be the first derivative of s(p). Factor z(q).
2*q*(q - 1)**2/7
Factor 2/5*l**2 - 2/5*l + 0 + 1/10*l**3 - 1/10*l**4.
-l*(l - 2)*(l - 1)*(l + 2)/10
Let m(t) = -7*t**2 + 149*t + 312. Let c(o) = o**2 - 2*o - 1. Let z(b) = 2*c(b) + m(b). Determine w so that z(w) = 0.
-2, 31
Let y(a) = 16*a**5 - 10*a**4 - 15*a**3 + 51*a**2 - 42*a + 11. Let n(t) = 3*t**5 - 2*t**4 - 3*t**3 + 10*t**2 - 8*t + 2. Let s(r) = 11*n(r) - 2*y(r). Factor s(d).
d*(d - 2)*(d - 1)**2*(d + 2)
Let p(b) = -23*b**4 - b**3 + 11*b**2 - 11. Let s(w) = -55*w**4 + 2*w**2 - 53*w**4 - 4 + 2*w**2 + 100*w**4. Let u(r) = -4*p(r) + 11*s(r). Factor u(v).
4*v**3*(v + 1)
Determine i, given that 44/5 - 23/5*i**2 + 4*i + 1/5*i**3 = 0.
-1, 2, 22
Let v(n) be the second derivative of n**5/60 + 2*n**4/9 + 5*n**3/6 - 36*n - 1. Determine x so that v(x) = 0.
-5, -3, 0
Suppose o + 2*o = 15. Suppose -44*l**3 - 2*l**5 + l**o - l**2 + 45*l**3 + l**4 = 0. What is l?
-1, 0, 1
Let q(s) = -s**2 - 5*s + 18. Let r be q(2). Factor 19*u**2 + u**3 - 6*u**3 - 14*u**2 + 5*u**r - 15*u**2.
5*u**2*(u - 2)*(u + 1)
Let l(p) = -3*p**3 - 193*p**2 - 2535*p - 10985. Let y(s) = -5*s**3 - 385*s**2 - 5070*s - 21970. Let u(n) = 5*l(n) - 2*y(n). Factor u(h).
-5*(h + 13)**3
Let u(m) be the third derivative of 0*m**6 + 0 + 0*m**5 + 0*m**3 - 2/105*m**7 + 8*m**2 + 0*m**4 + 0*m - 1/84*m**8. Let u(n) = 0. Calculate n.
-1, 0
Let j(y) be the third derivative of 2*y**6/15 - 7*y**5/5 + 5*y**4/6 - y**2 - 261*y. Factor j(i).
4*i*(i - 5)*(4*i - 1)
Let -2/3*k**3 - 124/15*k**2 + 52/15 + 82/15*k = 0. Calculate k.
-13, -2/5, 1
Let r be (10/55)/((-16)/(-22)). Factor -3/2*s**2 + 1/2 - r*s.
-(2*s - 1)*(3*s + 2)/4
Let k(o) = 5*o**5 + 12*o**3 + 10*o**3 - 15*o**4 + o**2 - 6*o**2. Let i(y) = 5*y**5 - 15*y**4 + 21*y**3 - 5*y**2. Let l(s) = 7*i(s) - 6*k(s). Solve l(z) = 0.
0, 1
What is z in 0 - 7/9*z**5 - 316*z**2 + 27*z**4 - 1946/9*z**3 - 72*z = 0?
-1, -2/7, 0,