/3*w**2 = 0. Calculate w.
-2, 1/3
Let c be (2/5)/(-1) + 198/45. Suppose 3*p - 7 = 5, 0 = 4*a - p - 8. Solve -4*w**c - a*w**3 - 17*w**3 - 4 - 24*w**2 - 16*w + 4*w**3 = 0.
-1
Let j be (5 + -1)*(-3)/3. Let t be (j/(-18) + 56/(-63))/(-1). Solve -t - 1/3*r**2 - r = 0.
-2, -1
Suppose -54 - 31*i + 6*i**2 - 3*i**2 + 10*i + 72*i = 0. What is i?
-18, 1
Factor -2/7 + 4/7*m - 2/7*m**2.
-2*(m - 1)**2/7
Let l(a) be the third derivative of a**5/60 - 5*a**4/8 - 8*a**3/3 + a**2 + 147. Determine s, given that l(s) = 0.
-1, 16
Let i(d) be the first derivative of -d**6/72 + d**5/24 + 23*d**3/3 + 1. Let v(f) be the third derivative of i(f). Find w such that v(w) = 0.
0, 1
Let h(i) = i**2 - 10*i - 22. Let z be h(12). Suppose -2*q**2 + q**2 + 6*q + 3*q - 2*q**z - 2 - 4*q**3 = 0. Calculate q.
-2, 1/4, 1
Let o be (-45)/(-10) + 2/(-4). Let i(a) be the second derivative of 3/2*a**2 - 2*a + 1/4*a**o + 0 - a**3. Factor i(l).
3*(l - 1)**2
Let v(t) = -t**2 - 481*t. Let b be v(0). Find c, given that -3/4*c**2 + 3/2*c + b = 0.
0, 2
Let c(w) be the first derivative of w**4/7 + 2*w**3/21 - 2*w**2/7 - 2*w/7 - 171. Factor c(m).
2*(m - 1)*(m + 1)*(2*m + 1)/7
Let h(j) = 1. Let o(q) = -3*q - 5 + q + 11*q**2 - 11*q - q. Let d(y) = -6*h(y) + o(y). Let m(c) = c**2 - c - 1. Let v(l) = d(l) - 5*m(l). Factor v(x).
3*(x - 2)*(2*x + 1)
Let t = 14 - 4. Suppose -u + t = -2*h, -u + 2*h = 4*u - 10. Suppose u + 2/3*o - 2/3*o**2 = 0. What is o?
0, 1
Let b(g) be the first derivative of -g**5/15 - 5*g**4/6 - 4*g**3 - 9*g**2 - 9*g - 146. Factor b(f).
-(f + 1)*(f + 3)**3/3
Let v = -161/3 + 323/6. Let t(g) be the first derivative of 0*g - v*g**3 - 8 + 1/2*g**2. Find b, given that t(b) = 0.
0, 2
Factor -3/2*a**2 + 0*a + 1/4*a**4 + 5/4*a**3 + 0.
a**2*(a - 1)*(a + 6)/4
Suppose -f - 3*v = 7, 2*v - 6 = -4*f + 6. Let a = -16 - -20. Find p, given that f*p + 2*p**a - 2 + 38*p**3 + 0*p**4 - 2*p**2 + 2*p**4 - p**5 - 42*p**3 = 0.
-1, 1, 2
Let t(w) = w**3 + 7*w**2 - 29*w + 12. Let y be t(-10). Let n(k) be the second derivative of 5*k + 1/2*k**3 - 1/12*k**4 - k**y + 0. Factor n(j).
-(j - 2)*(j - 1)
Let s(f) = 102*f + 4998. Let b be s(-49). Let 0 + b*c + 3/10*c**2 + 1/10*c**3 = 0. What is c?
-3, 0
Let i(m) = -20*m - 13. Let h be i(-2). Factor -4*k + 3*k - h*k**2 + 28*k**2.
k*(k - 1)
Factor 36*u**3 - 816*u**2 - 56 - 32 - 14 + 3 + 532*u + 11.
4*(u - 22)*(3*u - 1)**2
Let i = 22 - 5. Let x = -15 + i. What is j in 2*j - 3*j**4 - 1 + 4*j**4 + 0*j**4 - x*j**3 = 0?
-1, 1
Let t(a) be the third derivative of -a**10/756000 + a**9/50400 - a**8/11200 + a**5/12 + 16*a**2. Let k(q) be the third derivative of t(q). Solve k(b) = 0 for b.
0, 3
Let x be ((-15)/35 - 220/(-350))/(9/15). Let 5/3*a - x*a**2 - 1/3*a**3 - 1 = 0. What is a?
-3, 1
Let d(n) = n**2 + 4*n + 5. Let h be d(-4). Let s(q) = q - 22. Let f be s(26). Factor -3*z**2 + 3*z**h - 5*z**f + z**3 - 4*z**3 + 6*z**2 + 2*z**4.
3*z**2*(z - 1)**2*(z + 1)
Find v, given that 8*v**2 + 2/3*v**5 - 22/3*v**3 - 4/3*v**4 + 24*v + 0 = 0.
-2, 0, 3
Find d such that 1 + 1/3*d**2 + 4/3*d = 0.
-3, -1
Let a(h) = 4*h**4 - 5*h**4 - 5*h**2 + 3*h**2 + 3*h**2. Let d(t) = -t**4 - 9*t**3 + 26*t**2 - 16*t. Let i(s) = -6*a(s) + 3*d(s). Let i(l) = 0. Calculate l.
0, 1, 4
Let q(m) be the third derivative of 17/60*m**5 - 1/8*m**4 + 1/24*m**8 + 0 - 1/3*m**3 + 3/14*m**7 + 49/120*m**6 + 0*m + 28*m**2. Solve q(z) = 0.
-1, -1/2, 2/7
Determine a, given that -6/11*a**3 - 36/11 + 14/11*a**2 + 30/11*a - 2/11*a**4 = 0.
-3, 1, 2
Let b = -8 - -5. Let d = 7 + b. Factor 8*z**2 - 5*z**5 + 2*z**2 - 25*z**3 + 406*z**d - 386*z**4.
-5*z**2*(z - 2)*(z - 1)**2
Let g(q) be the first derivative of 7*q**5/390 + q**4/78 - 7*q**2/2 - 22. Let m(s) be the second derivative of g(s). Factor m(k).
2*k*(7*k + 2)/13
Let n(k) be the second derivative of 3*k + 1/3*k**4 + 0 + 0*k**2 - 2/21*k**7 + 3/5*k**5 - 2/15*k**6 - 4/3*k**3. Suppose n(i) = 0. Calculate i.
-2, -1, 0, 1
Let u(b) be the third derivative of -b**2 + 2/1155*b**7 + 0*b**3 + 1/1848*b**8 - 7/660*b**6 + 2/165*b**5 + 0*b + 0 + 0*b**4. Suppose u(w) = 0. What is w?
-4, 0, 1
Let v = 250585/11 - 22779. Let 72/11*b + 60/11*b**2 + 14/11*b**3 + v = 0. Calculate b.
-2, -2/7
Let i(q) be the third derivative of -q**9/120960 - q**8/20160 + q**7/3360 - 3*q**5/5 + 14*q**2. Let y(b) be the third derivative of i(b). What is f in y(f) = 0?
-3, 0, 1
Let c(s) be the second derivative of -1/8*s**6 + 0*s**2 - 5/168*s**7 + 0*s**3 + 8*s + 0*s**4 + 0 + 1/4*s**5. Factor c(u).
-5*u**3*(u - 1)*(u + 4)/4
Let p = 324 + -1943/6. Let l(v) be the third derivative of 0 + 6*v**2 + 0*v + 1/12*v**4 - p*v**3 - 1/60*v**5. Suppose l(z) = 0. Calculate z.
1
Let k be -5 + 132/28 + (-466)/(-14). Find s such that 16*s**3 - 16*s**4 + 4*s**5 + 33*s - k*s = 0.
0, 2
Suppose -22 = -6*w + 8. Let y(r) be the third derivative of 0*r - 1/6*r**4 + 1/90*r**w + 0 + r**3 + 2*r**2. Let y(g) = 0. Calculate g.
3
Let k = 28 - 96. Let f = -66 - k. Determine x, given that -9*x - 1 - 81/4*x**f = 0.
-2/9
Let n(u) be the second derivative of -u**5/10 - 8*u**4/3 - 64*u**3/3 - 3*u - 2. Find i, given that n(i) = 0.
-8, 0
Let l = 2032 + -2032. Suppose -14 = 5*o - 34. Suppose l*i + 2*i**2 + 2*i**3 + 0 + 1/2*i**o = 0. Calculate i.
-2, 0
Let v be (-68)/10 - ((-119)/34 + (-27)/6). Solve -3/5*g**3 - v + 3/5*g**2 + 7/5*g - 1/5*g**4 = 0.
-3, -2, 1
What is c in -2*c + 7/2*c**3 + 0 - 6*c**2 = 0?
-2/7, 0, 2
Let h(c) be the second derivative of 3*c**5/70 + 6*c**4/7 + 41*c**3/7 + 90*c**2/7 + 5*c. Solve h(n) = 0.
-6, -5, -1
Suppose -2*l - 4*p + 106 = -94, -5*p = -l + 72. Find f such that -4*f**3 - f**3 + 62*f - l*f + 25*f**2 = 0.
0, 2, 3
Suppose -27 = -5*q + 3*g, 0 = 2*g + g + 12. Solve 8/9*x**4 + 2/9*x**q + 0*x + 0 + 0*x**2 = 0.
-1/4, 0
Let q(k) be the first derivative of k**7/1680 + k**6/180 + k**5/48 + k**4/24 - 4*k**3 - 12. Let d(g) be the third derivative of q(g). Factor d(l).
(l + 1)**2*(l + 2)/2
Let d(g) = -66*g**2 + 75*g - 183. Let o(y) = -5*y**2 + 6*y - 14. Let s(b) = -2*d(b) + 27*o(b). What is c in s(c) = 0?
2
Suppose -3*k - 21 = -144. Let b be (1 - (3 - k)) + 2. What is n in 3*n**2 - n**3 + 19 + 22 - 2*n - b = 0?
0, 1, 2
Let h(r) be the third derivative of r**7/210 - r**6/120 - 23*r**5/60 - 13*r**4/8 - 3*r**3 - 108*r**2 - 2. Factor h(b).
(b - 6)*(b + 1)**2*(b + 3)
Let c = -51/133 - -298/133. Let -c*l + 4/7*l**2 + 3/7 = 0. Calculate l.
1/4, 3
Let n(d) = -d**3 + 3*d**2 + 9*d + 1. Let g be n(4). Factor g*j + 3*j**2 - 18*j**3 - 3*j**5 - 9*j**2 - 9 + 21*j**4 - 6*j**4.
-3*(j - 3)*(j - 1)**3*(j + 1)
Let q(a) be the first derivative of a**8/560 + a**7/280 - a**6/120 - a**5/40 - 3*a**3 - 8. Let p(f) be the third derivative of q(f). Factor p(m).
3*m*(m - 1)*(m + 1)**2
Suppose 2*y + 12 = 5*c, -5*c - 2*y = y - 32. Let q(h) = -8*h**2 - 16*h - 20. Let a(j) = j**2 - j + 1. Let v(l) = c*a(l) + q(l). Factor v(z).
-4*(z + 1)*(z + 4)
Let l be 0 + (-23)/(-5) + (-132 - -128). What is o in 8/5*o + 4/5 + l*o**2 = 0?
-2, -2/3
Let d(j) = -1795*j**3 - 1680*j**2 + 133*j - 2. Let f(y) = 5384*y**3 + 5040*y**2 - 402*y + 6. Let v(g) = 16*d(g) + 5*f(g). Factor v(w).
-2*(w + 1)*(30*w - 1)**2
Let n(a) be the second derivative of -a**5/5 + 13*a**4 - 220*a**3/3 + 144*a**2 - 97*a - 3. Factor n(f).
-4*(f - 36)*(f - 2)*(f - 1)
Factor -35*d**3 + 16*d - 4*d**4 + 23*d**3 + 8*d**4.
4*d*(d - 2)**2*(d + 1)
Find l such that 2/3*l**3 + 4/3 + 10/3*l + 8/3*l**2 = 0.
-2, -1
Let x(n) be the third derivative of -1/672*n**8 + 0*n**3 - 1/420*n**7 + 0*n**5 + 5*n**2 + 0*n**6 + 0*n + 0*n**4 + 0. Determine y so that x(y) = 0.
-1, 0
Let a(o) be the second derivative of o**7/140 + o**6/60 + o**5/120 + 3*o**2 + 9*o. Let s(t) be the first derivative of a(t). Determine m so that s(m) = 0.
-1, -1/3, 0
Factor 4*t - 13*t**2 + 11*t + 9*t - 29*t + 3*t**2.
-5*t*(2*t + 1)
Suppose 5*u = 3*m + 9, 3*u - 5*u = -5*m - 15. Suppose u = 6*h - 6*h - 4*h. Find q, given that 6/7*q**2 + 2/7*q**3 - 8/7 + h*q = 0.
-2, 1
Find y, given that -3/4*y**3 + 1728 - 69/4*y**2 + 24*y = 0.
-16, 9
Let t(x) be the first derivative of -3*x**4/28 + 40*x**3/21 + 73*x**2/14 + 30*x/7 + 122. Factor t(r).
-(r - 15)*(r + 1)*(3*r + 2)/7
Let n(p) be the second derivative of 0*p**4 + 0 - 1/5*p**6 - 11*p - 3/40*p**5 + 0*p**2 + 0*p**3. Find u such that n(u) = 0.
-1/4, 0
Let x(t) be the third derivative of 0*t + 4*t**2 + 1/735*t**7 - 2/21*t**3 - 1/28*t**4