/5 - 457*x**4/3 + 304*x**3 - 288*x**2 + 181*x. Solve s(w) = 0.
3/4, 4
Let k(s) be the first derivative of 2*s**5/45 - 5*s**4/18 + 14*s**3/27 - s**2/3 - 31. Find m, given that k(m) = 0.
0, 1, 3
Let x(t) be the first derivative of 10/3*t**3 - 18*t - 34 + 12*t**2. Find w such that x(w) = 0.
-3, 3/5
Let g(k) be the first derivative of -3*k**5/5 + 33*k**3 + 42*k**2 - 180*k + 324. Let g(w) = 0. What is w?
-5, -2, 1, 6
Factor 24*b - 48 - 18*b**2 + 34*b**2 - 19*b**2.
-3*(b - 4)**2
Let w(o) be the second derivative of o**2 - 5/6*o**3 - 11*o - 1/20*o**5 + 1/3*o**4 + 0. Suppose w(u) = 0. Calculate u.
1, 2
Let d(j) = -2*j**3 + 2*j**2 + 6*j + 2. Let q(m) = m**2 - 1. Let w(i) = 3*d(i) - 6*q(i). Let o(x) = 9*x**3 - 27*x - 18. Let b(h) = -5*o(h) - 7*w(h). Factor b(u).
-3*(u - 2)*(u + 1)**2
Factor 192*h**3 + 197*h**3 - 4*h**4 - 535*h**3 - 48*h**2 + 170*h**3 + h**4.
-3*h**2*(h - 4)**2
Let a(m) be the second derivative of 19*m**3 + 37/4*m**4 + 0 + 12*m**2 + 31*m + 21/20*m**5. Find w, given that a(w) = 0.
-4, -1, -2/7
Let u(s) = -2*s**2 - 14*s - 1. Let a be u(-7). Let c be ((-52)/(-715) + 1 + a)*5. Solve 8/11*p**2 + 0 + 16/11*p - c*p**3 - 2/11*p**4 = 0 for p.
-2, 0, 2
Suppose h = 0, 4*l - 120 = -2*h + h. Let s be 40/42 - (l/9)/5. Find b such that -2/7*b**2 + 0*b + s = 0.
-1, 1
Suppose 5*r = 6*i - 2*i + 30, 24 = 4*r - 4*i. Factor -20*m - 26*m**4 - m**2 + r*m**2 + 21*m**4 + 20*m**3.
-5*m*(m - 4)*(m - 1)*(m + 1)
Let m(r) = -8*r**4 - 24*r**3 + 32*r + 6. Let d(z) = 9*z**4 + 25*z**3 - 2*z**2 - 32*z - 7. Let g(s) = 6*d(s) + 7*m(s). Factor g(h).
-2*h*(h - 1)*(h + 2)*(h + 8)
Let g(a) be the first derivative of -4 - 2/9*a**3 + 4*a**2 - 24*a. What is i in g(i) = 0?
6
Suppose 2*q - 4*i = 36, 30*q - 134 = -9*i + 11*i. Factor -18*h**3 + 4/3 - 18*h**q - 34/3*h + 30*h**2.
-2*(h + 2)*(3*h - 1)**3/3
Let s(m) be the first derivative of 1/9*m**2 + 1 + 0*m - 2/27*m**3. Factor s(j).
-2*j*(j - 1)/9
Solve 95*m**5 + 570*m - 28*m**5 + 343*m**2 - 35*m**3 - 95*m**4 + 292*m**2 - 62*m**5 = 0.
-2, -1, 0, 3, 19
Let d(s) = 3*s**3 + 12*s**2 + 6*s. Let w(q) = 2*q**3 + 12*q**2 + 5*q. Suppose 4*r - 12 = 6*r. Let n(v) = r*w(v) + 5*d(v). Factor n(t).
3*t**2*(t - 4)
Let -28/3*a**2 + 8/3*a**4 - 16/3 + 40/3*a - 2/3*a**5 - 2/3*a**3 = 0. What is a?
-2, 1, 2
Let s(y) be the first derivative of 18*y**3/5 + 9*y**2/2 + 6*y/5 + 209. Let s(u) = 0. Calculate u.
-2/3, -1/6
Let n(s) be the third derivative of -1/210*s**7 + 0*s**3 + 0 - 3/20*s**5 + 1/20*s**6 - 5*s**2 + 0*s**4 + 0*s. Solve n(o) = 0.
0, 3
Let z(s) be the first derivative of -3*s**4/4 + 4*s**3 + 15*s**2/2 + 1. Factor z(h).
-3*h*(h - 5)*(h + 1)
Let a(v) be the third derivative of -v**8/616 + 17*v**7/1155 + 13*v**6/220 - 169*v**5/330 - 30*v**4/11 - 100*v**3/33 - 17*v**2. Solve a(w) = 0.
-2, -1/3, 5
Let l(h) = -h**2 - 30*h - 53. Let n be l(-28). Let w(g) be the second derivative of 7/12*g**n + 5/24*g**4 + 3*g + 1/2*g**2 + 0. Suppose w(d) = 0. Calculate d.
-1, -2/5
What is d in -4*d**3 - 4 + 15*d**2 - 8*d**2 + 10*d**2 + 32 - 60*d + 19*d**2 = 0?
1, 7
Let u(n) = -14*n**4 - 135*n**3 - 1292*n**2 - 1161*n + 5. Let a(r) = 8*r**4 + 67*r**3 + 646*r**2 + 581*r - 3. Let v(i) = -5*a(i) - 3*u(i). Factor v(k).
2*k*(k + 1)*(k + 17)**2
Let a be 32/2 + ((-5)/(-5))/(-1). Factor 17*h - h**2 + h**2 - 2*h**3 + h**4 - 1 - a*h.
(h - 1)**3*(h + 1)
Let v(l) = -l**4 + 70*l**3 - 324*l**2 + 570*l - 315. Let x(o) = -70*o**3 + 325*o**2 - 570*o + 315. Let u(m) = 5*v(m) + 4*x(m). Determine c so that u(c) = 0.
1, 3, 7
Let t(l) be the second derivative of -l**4/32 + 3*l**3/4 + 39*l**2/16 - l + 53. Find z such that t(z) = 0.
-1, 13
Let b be (1/30)/((-74)/(-111)). Let f(d) be the third derivative of -8*d**3 + 0 - b*d**5 + d**4 + 0*d + 4*d**2. Factor f(k).
-3*(k - 4)**2
Suppose -37*t - 2*i = -39*t + 4, -5*t + 3*i = -16. Let n(u) be the first derivative of u**3 + t + 0*u + 3/2*u**2. Factor n(r).
3*r*(r + 1)
Find l such that -28*l**2 - 183*l + 8*l**4 + 0*l**4 - 2*l**5 - 12 + 217*l = 0.
-2, 1, 3
Let d(g) be the second derivative of g**6/270 + g**5/270 - g**4/54 - g**3/27 - 33*g**2/2 - 33*g. Let o(h) be the first derivative of d(h). Factor o(n).
2*(n - 1)*(n + 1)*(2*n + 1)/9
Let k(j) = j**2 - 17*j - 8. Let w be k(20). Let v = 52 - w. Factor 3/5 + v*g**3 + 3/5*g**4 + 0*g - 6/5*g**2.
3*(g - 1)**2*(g + 1)**2/5
Let i(m) be the second derivative of -m**8/5880 - m**7/1470 - m**6/1260 - 2*m**3/3 - 7*m. Let h(d) be the second derivative of i(d). Let h(s) = 0. What is s?
-1, 0
Let b = -9958 + 9960. Factor -3/5*w**4 + 0 - 1/5*w**b - 3/5*w**3 - 1/5*w**5 + 0*w.
-w**2*(w + 1)**3/5
Let i be 66/(-54)*51 - (-4)/(-6). Let o = 68 + i. Factor 0 - 18/7*s**4 - 12/7*s - 39/7*s**3 - 3/7*s**o - 36/7*s**2.
-3*s*(s + 1)**2*(s + 2)**2/7
Determine o, given that -o**2 + 9/8*o**3 + 0*o + 0 - 1/8*o**4 = 0.
0, 1, 8
Let a(r) be the second derivative of r**7/1470 - r**6/420 + r**5/420 + 2*r**2 + 5*r. Let u(s) be the first derivative of a(s). Solve u(h) = 0.
0, 1
Factor 1/2*r**2 + 31 - 63/2*r.
(r - 62)*(r - 1)/2
Let i(t) be the first derivative of t**6/24 + t**5/4 + t**4/8 - 7*t**3/6 - 3*t**2/8 + 9*t/4 + 116. Suppose i(z) = 0. What is z?
-3, -1, 1
Suppose 22 = 7*u + 1. Factor -10 + 106*z - 5*z**u + 10*z**2 - 207*z + 106*z.
-5*(z - 2)*(z - 1)*(z + 1)
Suppose -2*b + 21*b - 16 - 14*b**2 - 6*b**2 + 2*b**3 + 15*b = 0. What is b?
1, 8
Let n be (-8 - -3) + ((-30)/(-4) - 2). Find k, given that -n*k**2 - 25/2 + 5*k = 0.
5
Suppose -5*i = -3*s + 12 + 25, 15 = -3*i. Let l = s - -13. Factor 15 + 48*u**2 + 0*u**4 + l - 16*u**3 + 2*u**4 + 0*u**4 - 64*u.
2*(u - 2)**4
Let s(u) be the second derivative of 1/105*u**6 + 0 + 1/7*u**2 - 1/35*u**5 + 1/21*u**3 - 36*u + 1/147*u**7 - 1/21*u**4. Determine r, given that s(r) = 0.
-1, 1
Let z be 1/(-2) + 13 + (-13404)/1080. Let n(m) be the first derivative of -1/18*m**4 - 7 + 0*m + 1/54*m**6 + 1/2*m**2 - z*m**5 + 4/9*m**3. Factor n(y).
y*(y - 3)**2*(y + 1)**2/9
Let y be ((-2)/190*-5)/((-12)/(-120)). Solve 0 - y*w - 2/19*w**2 = 0.
-5, 0
Let k(c) = -c**4 - 9*c**3 - 4*c**2 - c. Let v(a) = -a**4 - 5*a**3 - 2*a**2 - a. Suppose 4*u - 6 = -18. Let p(s) = u*k(s) + 5*v(s). Suppose p(g) = 0. What is g?
-1, 0, 1
Let q be (-7)/196*14*(-4 - 0 - 0). Factor 0*v + 3/7*v**3 - 2/7*v**q + 0 - 1/7*v**4.
-v**2*(v - 2)*(v - 1)/7
Let o(d) = d**2 - 4*d - 2. Let w(k) be the first derivative of 2*k**3/3 - 2*k**2 - k + 11. Let u(i) = -3*o(i) + 2*w(i). Factor u(b).
(b + 2)**2
Determine h so that 0 + 1/4*h**2 - 3/4*h = 0.
0, 3
Factor 2/5*d - 2/5*d**4 - 6/5*d**2 + 0 + 6/5*d**3.
-2*d*(d - 1)**3/5
Let n = -1466 + 13202/9. Find r such that 2/9*r**2 + 0 - n*r = 0.
0, 4
Let g = 33564 + -233073/7. Suppose -10800/7*w**3 - 1488/7*w + 144/7 + 8625/7*w**4 - g*w**5 + 840*w**2 = 0. Calculate w.
2/5, 3
Let f(a) be the second derivative of -5*a**2 - 5/6*a**3 - 1/3*a**6 + 5/3*a**4 + 0 - 5/42*a**7 - a + 1/2*a**5. Find q such that f(q) = 0.
-2, -1, 1
Let t(f) = -2*f - 16. Suppose -4*y - 3*a = -3*y + 14, 5*a + 42 = -4*y. Let k be t(y). Factor 0 + 4/5*z**4 - 2/5*z + k*z**3 - 4/5*z**2 + 2/5*z**5.
2*z*(z - 1)*(z + 1)**3/5
Suppose b - a - 26 = -0*a, -40 = -2*b + 5*a. Determine y, given that -9*y + b*y**2 + 4 - 14*y**2 - 11*y = 0.
1/4, 1
Let b(d) be the second derivative of 0 + 3*d + 1/2*d**2 - 1/240*d**5 - 1/96*d**4 + 0*d**3. Let k(l) be the first derivative of b(l). Factor k(f).
-f*(f + 1)/4
Let x(t) = -5*t**3 - 9*t**2 - 4*t. Suppose -5*m = -3*m + 4. Let z(i) = -i**3 + i. Let u(y) = m*z(y) + x(y). Solve u(q) = 0 for q.
-2, -1, 0
Let w(a) be the second derivative of 1/55*a**5 - 1/22*a**3 - 8*a + 0*a**6 + 0 - 1/462*a**7 - 1/66*a**4 + 1/11*a**2. Find n such that w(n) = 0.
-2, -1, 1
Let f = -74 - -66. Let l = 28/3 + f. Solve -2/3*j - l*j**3 - 1/3*j**4 + 0 - 5/3*j**2 = 0 for j.
-2, -1, 0
Let u(t) = 5*t**4 - 3*t**3 + 4*t**2. Let p(m) = -m**4 - m**2 + m. Let q(i) = 12*p(i) + 3*u(i). Suppose q(d) = 0. Calculate d.
-1, 0, 2
Factor 2*m**2 + 0 + 4*m - 1/2*m**5 - 5/2*m**4 - 3*m**3.
-m*(m - 1)*(m + 2)**3/2
Let g(s) = -9*s - 153. Let k be g(-17). Suppose -a**3 - 1/2*a + k + 1/4*a**4 + 5/4*a**2 = 0. Calculate a.
0, 1, 2
Factor 9/4*o**2 + 27 - 27/2*o - 1/8*o**3.
-(o - 6)**3/8
Factor -11*m - 393 + 393 + 2*m**4 - 13*m - 26*m**2.
2*m*(m - 4)*(m + 1)*(m + 3)
Let a(c) = -1 + 21*c**2 - 2*c**3 + 24*c**2 - 13*c**3 - 17 - 12*c. Let v(b) = 30*b**3 - 89*b**2 + 24*b + 35. Let d(u)