 - 1/75*w**6 + 1/15*w**4 + 2/15*w**3 + 22*w. Let z(f) = 0. What is f?
-1, 1/2, 1
Suppose z = 5, 4*j + 0*j - 121 = -z. Let m = 19 - -7. Factor -108*p**2 + m*p + 4 - j*p + 0 + 2.
-3*(4*p + 1)*(9*p - 2)
Let -128/21*w**2 - 46/21*w**3 - 152/21*w - 2/7*w**4 - 64/21 = 0. What is w?
-8/3, -2, -1
Let m be -1 + (-14)/(-10) - (-289)/(-85). Let f(l) = l**3 + l**2 - 6*l + 2. Let p be f(m). Let -2*t**2 + 0 - p*t - 1/2*t**3 = 0. What is t?
-2, 0
Let s(w) be the third derivative of -w**9/22680 + w**8/3360 + w**7/3780 - w**6/360 + w**4 - 13*w**2. Let j(i) be the second derivative of s(i). Factor j(m).
-2*m*(m - 3)*(m - 1)*(m + 1)/3
Let x(a) be the first derivative of a**3/5 - 87*a**2/5 + 2523*a/5 + 129. Suppose x(y) = 0. What is y?
29
Let p be 10/24*(-106)/(-795). Let o(q) be the third derivative of 1/180*q**5 + 1/36*q**4 + 5*q**2 + 0 + p*q**3 + 0*q. Find b such that o(b) = 0.
-1
Let u(j) be the third derivative of 1/300*j**6 - 4/15*j**3 + 0*j**4 - 4*j**2 + 1/50*j**5 + 0*j + 0. Factor u(g).
2*(g - 1)*(g + 2)**2/5
Let c(u) be the second derivative of u**4/12 + 17*u**3/3 + 289*u**2/2 + u + 32. Factor c(l).
(l + 17)**2
Let b be (-125)/6 + 4/8. Let y = 131/6 + b. Factor 2*u**4 - 5/2*u**2 - 3/2*u + 1/2 + y*u**3.
(u - 1)*(u + 1)**2*(4*u - 1)/2
Suppose y = 2*n + 12, n = -4*n + 10. Solve 32*s**5 - 16*s**4 - 18*s**4 - 8 + 42*s**2 + 28*s**5 - 76*s**3 + y*s = 0.
-1, -1/2, 2/5, 2/3, 1
Find f, given that -2/3*f**4 + 0 + 0*f**2 + 0*f - 52/3*f**3 = 0.
-26, 0
Let w(p) = -p**2 - p + 1. Let t(c) = 2*c**3 + 36*c**2 + 106*c - 8. Let s = 6 - -2. Let m(x) = s*w(x) + t(x). Find i such that m(i) = 0.
-7, 0
Let -29*w**2 - 204 - 100*w + 204 + 5*w**3 + 124*w**2 = 0. Calculate w.
-20, 0, 1
Let r = -292 - -298. Let a(v) be the first derivative of 0*v**2 - 2/45*v**5 + 1/27*v**r - 1/9*v**4 + 0*v + 0*v**3 - 2. Find w such that a(w) = 0.
-1, 0, 2
Let k(w) be the first derivative of -70*w**3/57 + 41*w**2/19 + 44*w/19 - 59. Solve k(h) = 0 for h.
-2/5, 11/7
Suppose 5*n = -5*m + 45, -2*n - 5*m + 12 = -15. Factor -5*a**2 + n + 13 + 1 - 15*a.
-5*(a - 1)*(a + 4)
Suppose 33*p - 128 - 47 = -2*p. Let -114/7*n - 284/7*n**2 - 30*n**4 - 18/7 - 50/7*n**p - 348/7*n**3 = 0. What is n?
-1, -3/5
Let b = -104 + 107. Let n(k) = -6*k**3 + 2*k**2 + 6*k - 1. Let h(s) = s**2 + s + 1. Let t(l) = b*h(l) - 3*n(l). Factor t(c).
3*(c + 1)*(2*c - 1)*(3*c - 2)
Let h be (-10 - -13)/(2/6). Let b be (6 - 5 - 1) + 1/h. Find m, given that -2/9*m**2 + 0 - b*m - 1/9*m**3 = 0.
-1, 0
Let b(d) be the first derivative of 3/14*d**2 + 2*d - 1/28*d**4 - 6 + 0*d**3. Let g(i) be the first derivative of b(i). Factor g(p).
-3*(p - 1)*(p + 1)/7
Suppose 0*j**4 + 4/5*j**2 - 6/5*j**3 + 2/5*j**5 + 0 + 0*j = 0. What is j?
-2, 0, 1
Suppose 0*r = r + 21. Let w = -45 - r. Let h(b) = 3*b**2 - 20*b + 17. Let m(x) = -15*x**2 + 99*x - 84. Let z(f) = w*h(f) - 5*m(f). Factor z(p).
3*(p - 4)*(p - 1)
Factor 14 - 200*k + 25*k**2 + 240*k + 1.
5*(k + 1)*(5*k + 3)
Let r = -2/3 - -8/9. Let d(j) be the third derivative of 4*j**2 - 1/180*j**5 + 0*j**4 + 0 + r*j**3 + 0*j. Factor d(l).
-(l - 2)*(l + 2)/3
Let l(h) = -5*h**5 - 24*h**4 + 11*h**3 - 14*h**2 + 11*h. Let w(u) = 2*u**5 + 11*u**4 - 6*u**3 + 7*u**2 - 5*u. Let b(c) = -3*l(c) - 7*w(c). Factor b(r).
r*(r - 2)*(r - 1)**3
Let f be 2/(-4)*(354 + (-28)/(-7)). Let r = f - -359/2. Factor 1/2*x**3 + r*x**2 - 1/2 - 1/2*x.
(x - 1)*(x + 1)**2/2
What is b in 64 - 24*b - 2*b**2 + 12*b**2 - 8*b**2 = 0?
4, 8
Let s = -204 + 200. Let c be (-20)/(-11) - (s + (-42)/(-11)). Suppose 0 - 2/3*m**3 + 8/9*m + 0*m**c + 2/9*m**4 = 0. What is m?
-1, 0, 2
Let -2/9*v**3 + 2/3*v**2 - 16/9 + 4/3*v = 0. What is v?
-2, 1, 4
Factor -100 - 455/2*y + 5/2*y**3 + y**4 - 54*y**2.
(y - 8)*(y + 5)**2*(2*y + 1)/2
Let f(w) = -w**4 + 8*w**3 + 14*w**2 - 13*w - 1. Let k(l) = -l**3 - l**2 + 1. Let z(y) = -2*f(y) - 14*k(y). Solve z(u) = 0 for u.
-3, 1, 2
Let h = 112194/140255 - -2/28051. Solve -6/5*c**4 + 0 + h*c**2 + 2/5*c**3 + 0*c = 0.
-2/3, 0, 1
Let k(w) = w**3 - 5*w**2 - w + 6. Let h be k(5). Solve 3*o + 4*o**3 - 6*o**2 - o**4 + 3*o - 2*o - h = 0 for o.
1
Let v be 56/(-54)*120/(-70). Suppose -10/9*q**4 + 2/9*q**5 + v*q**3 + 0 + 0*q - 8/9*q**2 = 0. What is q?
0, 1, 2
Let v(o) = -o**3 - 12*o**2 + 8*o + 15. Let p be v(-12). Let w = 83 + p. Factor -1/2*a**w - 1/4*a - 1/4*a**3 + 0.
-a*(a + 1)**2/4
Let v(n) be the third derivative of -n**5/30 - 7*n**4/6 - 13*n**3/3 - 96*n**2. Determine g, given that v(g) = 0.
-13, -1
Determine r, given that 4 + 2848*r**2 + 2*r**4 - 2856*r**2 + 6*r**4 - 4*r**4 = 0.
-1, 1
Let o be (8/(-100))/((-8)/40). Let c = 237/5 + -47. Factor o*g + 2/5*g**2 - 2/5*g**4 + 0 - c*g**3.
-2*g*(g - 1)*(g + 1)**2/5
Let z(m) be the second derivative of 3*m**5/100 - 61*m**4/20 + 88*m**3/5 - 174*m**2/5 + 67*m - 2. Factor z(o).
3*(o - 58)*(o - 2)*(o - 1)/5
Let r(m) be the first derivative of m**3/4 - 3*m**2/8 - 191. What is b in r(b) = 0?
0, 1
Let d be (63/42)/(2/20). Solve -x - x**2 - 3*x + 12 - d = 0 for x.
-3, -1
Let s be 4/6 - 14/(-6). Factor -5*n**4 + 6*n**3 - n + n - n**s.
-5*n**3*(n - 1)
Let l be 14/(-3) - (8 - (16 - 3)). Solve -l*c**3 - 5/3*c**2 - c + 3 = 0 for c.
-3, 1
Let i(l) be the second derivative of -l**7/336 - l**6/80 + 9*l**5/160 + 9*l**4/32 + 5*l - 3. Factor i(j).
-j**2*(j - 3)*(j + 3)**2/8
Let a(z) be the second derivative of 0*z**2 + 1/24*z**4 - 1/60*z**6 + 1/40*z**5 + 0 - 1/12*z**3 - 7*z. Factor a(l).
-l*(l - 1)**2*(l + 1)/2
Let y = 683 + -683. Let a(p) be the second derivative of 1/21*p**7 + 0 - 1/10*p**5 - 1/6*p**4 + 2*p + 1/15*p**6 + y*p**3 + 0*p**2. Let a(m) = 0. Calculate m.
-1, 0, 1
Let s(t) be the second derivative of -16*t**6/15 + 108*t**5/5 + 37*t**4/2 + 14*t**3/3 - 280*t. Factor s(z).
-2*z*(z - 14)*(4*z + 1)**2
Find u such that 111/7 + 48*u + 9/7*u**2 = 0.
-37, -1/3
Let f(h) be the first derivative of -h**3 - 9/4*h**4 + 0*h + 9/2*h**2 + 3/5*h**5 - 40. Factor f(l).
3*l*(l - 3)*(l - 1)*(l + 1)
Let b = 2056 - 2054. Factor -1/4*o + 0 + 1/8*o**b.
o*(o - 2)/8
Let r be (-24)/(-18)*(-3)/(-2). Suppose 3 - 10*j + 6 + 2*j**2 + r*j**3 - 3 = 0. What is j?
-3, 1
Let w be ((-2292)/(-10))/(2/30*-21). Let k = w - -164. Determine l, given that -k*l**3 - 2/7 + 2/7*l + 2/7*l**2 = 0.
-1, 1
Let j = 3346 + -10034/3. Factor 0 + j*t**2 - 2/3*t.
2*t*(2*t - 1)/3
Let n(q) = 10*q**2 + 32*q + 153. Let m(l) = 25*l**2 + 97*l + 458. Let o(t) = 3*m(t) - 8*n(t). Factor o(s).
-5*(s - 10)*(s + 3)
Suppose -33*s = -59 - 7. Let f(d) be the second derivative of 0*d**3 - 1/20*d**4 + 3/10*d**s + 0 + 5*d. Factor f(x).
-3*(x - 1)*(x + 1)/5
Let x(p) be the first derivative of -p**3/3 - 10*p**2 + 21*p - 20. Let x(m) = 0. Calculate m.
-21, 1
Let m(d) = -10*d**4 + 35*d**3 + 85*d**2 + 50*d - 5. Let c(n) = -5*n**4 + 17*n**3 + 43*n**2 + 25*n - 2. Let o(r) = 5*c(r) - 2*m(r). Factor o(w).
-5*w*(w - 5)*(w + 1)**2
Let q(z) be the third derivative of z**6/15 + z**5 + z**4 - 14*z**3/3 + 18*z**2 - 5. Find k such that q(k) = 0.
-7, -1, 1/2
Suppose -2 = -3*m - 8, 4*v - 68 = -2*m. Suppose 5*g - i + 3*i = v, 5*i - 10 = 5*g. Find w such that 2*w**g - w - 6*w - 14*w + 5*w + 32 = 0.
4
Find x such that -26*x**3 - 6*x + 62/3*x**2 - 8/3*x**5 + 14*x**4 + 0 = 0.
0, 1, 9/4
Let s(t) be the third derivative of 0*t**5 + 0*t**3 + 0 + 0*t**6 - 1/84*t**8 + 5*t**2 - 2/35*t**7 + 0*t + 0*t**4. Find c, given that s(c) = 0.
-3, 0
Suppose 0 = 9*t - 64 + 64. Let h(q) be the second derivative of 0*q**3 + 1/30*q**4 - 1/50*q**5 + 0*q**2 - 3*q + t. Solve h(r) = 0.
0, 1
Let r = 14 + -10. Suppose -r*n = 5*q - 6, n + 2 = -0*n - 3*q. What is b in -60*b**n - 56*b**5 + 20*b**3 - 2*b**2 + 44*b**4 + 22*b**3 - 4*b = 0?
-1, -2/7, 0, 1/2
Factor 4 + 0*h**3 + 11/2*h**2 + 9*h - 1/2*h**4.
-(h - 4)*(h + 1)**2*(h + 2)/2
Let s(p) be the first derivative of -p**5 - 35*p**4/4 + 85*p**3/3 - 45*p**2/2 - 55. Factor s(u).
-5*u*(u - 1)**2*(u + 9)
Let n be (26/(-20))/(1196/(-345)). Suppose -4*b + 4 = -0*m + 2*m, 4*m - 8 = b. Let 3*t + 6 + n*t**m = 0. What is t?
-4
Solve -216*y + 612*y**2 + 432/17 - 578*y**3 = 0.
6/17
Let f(i) = 12*i**3 - 27*i - 15. Let n(s) = -4*s - 29. Let v be n(-17). Let x = v + -24. Let o(q) = -3*q**3 + 7*q + 4. Let j(p) = x*o(p) + 4*f(p). Factor j(h).
3*h*(h - 1)*(h + 1)
Let d(t) = 56*t**4 + 184*t**3 - 187*t**2 - 75*t. Let u = -13 - -35. Let w(x) = 14*x**4 + 46*x**3 - 47*x**2 - 19*x. Let f(c) = u*w(c) - 6*d(c)