ve of 1/30*c**5 + 0 + 19/96*c**4 + 0*c + 1/4*c**3 - 1/96*c**6 - 7*c**2. Find h, given that a(h) = 0.
-1, -2/5, 3
Let g = 133 - 128. Let w(h) be the third derivative of 0*h**7 + 3/200*h**6 - 1/560*h**8 + 0*h**4 + 6*h**2 + 0*h**3 + 0 + 0*h - 1/50*h**g. Solve w(c) = 0.
-2, 0, 1
Suppose -6 = 2*b, h + 4*h + 3*b = -189. Let m = h + 36. Factor m*g**3 + 10*g**3 + 55*g**2 + 15*g**4 + 5*g**5 - 55*g**2.
5*g**3*(g + 1)*(g + 2)
Let l(h) be the second derivative of -h**5/100 + 17*h**4/60 - 8*h**3/15 + 26*h + 1. Determine n so that l(n) = 0.
0, 1, 16
Let d(w) be the first derivative of 4*w**3/3 - 52*w**2 + 192*w + 95. Suppose d(b) = 0. What is b?
2, 24
Suppose -7*s + 45 = 2*s. Let f(w) = w**3 + 1. Let u(n) = 2*n**4 - n**3 - 6*n**2 - 16*n - 13. Let h(r) = s*f(r) + u(r). Factor h(k).
2*(k - 2)*(k + 1)**2*(k + 2)
Let j(m) = 1. Let p(u) = -3*u**2 + 24*u - 16. Let y(d) = -5*j(d) + p(d). Factor y(s).
-3*(s - 7)*(s - 1)
Let a(r) be the third derivative of -r**5/150 + 7*r**4/60 - 2*r**3/3 + 2*r**2 + r. What is x in a(x) = 0?
2, 5
Let q(j) = -3*j**2 + 381*j + 408. Let n(l) = -3*l**2 + 385*l + 408. Let w(m) = 6*n(m) - 5*q(m). Factor w(r).
-3*(r - 136)*(r + 1)
Let p(m) be the third derivative of -13*m**6/60 - m**5/2 - m**4/6 - 32*m**2. Factor p(u).
-2*u*(u + 1)*(13*u + 2)
Suppose -3*n - 9*n = -96. Let c be (-54)/72*n/(-15). Let 2/5*r - 4/5*r**2 + 0 + c*r**3 = 0. What is r?
0, 1
Let h(t) be the third derivative of -5*t**8/3192 + 8*t**7/1995 + 3*t**6/380 - 4*t**5/285 - t**4/57 + 81*t**2. Find l such that h(l) = 0.
-1, -2/5, 0, 1, 2
Let i(p) be the first derivative of -p**4/46 - 4*p**3/23 + 45. Factor i(f).
-2*f**2*(f + 6)/23
Let k(w) be the second derivative of -w**4/16 - 5*w**3/8 - 3*w**2/2 + 93*w. Factor k(t).
-3*(t + 1)*(t + 4)/4
Let f(y) be the second derivative of -y**7/2520 - y**4/4 - 28*y. Let w(k) be the third derivative of f(k). Factor w(o).
-o**2
Factor -56/3 + 2/3*x**2 - 18*x.
2*(x - 28)*(x + 1)/3
Suppose 339*q - 336*q - 5*a = -40, 5*q + 5*a - 40 = 0. Factor 3/4*v**3 + q*v - 1/4*v**4 - 1/2*v**2 + 0.
-v**2*(v - 2)*(v - 1)/4
Let z(w) be the first derivative of w**4/10 + 4*w**3/15 - 21*w**2/5 + 36*w/5 - 579. Factor z(x).
2*(x - 3)*(x - 1)*(x + 6)/5
Let q(p) be the second derivative of p**6/120 - p**5/80 - p**4/3 + 2*p**3/3 - 65*p. Factor q(s).
s*(s - 4)*(s - 1)*(s + 4)/4
Let m = -12 + -3. Let x be (-2)/m + 172/60. Factor x*u - 4*u**3 + 2*u**2 - 5*u**4 + 3*u**4 + u.
-2*u*(u - 1)*(u + 1)*(u + 2)
Let q(t) be the second derivative of -t**6/3 + 13*t**5/8 + 5*t**4/24 - 65*t**3/12 + 15*t**2/4 + 17*t. What is i in q(i) = 0?
-1, 1/4, 1, 3
Let o be (-2)/6*((-270)/(-81) - (0 + 14)). Find b, given that -o + 8/9*b + 4/9*b**2 = 0.
-4, 2
Solve 36 - 3/2*d**4 - 3*d**2 - 30*d + 15/2*d**3 = 0 for d.
-2, 2, 3
Suppose -38*p**3 + 92*p**4 - 9*p**3 - 12*p**5 - 35*p**3 - 78*p**3 - 64*p**2 = 0. What is p?
-1/3, 0, 4
Let t(h) be the first derivative of 1/270*h**5 + 0*h**4 - 1 + 7/2*h**2 - 1/27*h**3 + 0*h. Let y(d) be the second derivative of t(d). Let y(r) = 0. Calculate r.
-1, 1
Let d = 222/29 - 1023/145. Find m such that -48/5 - d*m**2 + 24/5*m = 0.
4
Let b(q) be the second derivative of -q**6/6 - 2*q**5 - 25*q**4/4 + 10*q**3/3 + 50*q**2 + 86*q + 5. Factor b(a).
-5*(a - 1)*(a + 2)**2*(a + 5)
Let z(a) be the third derivative of a**2 + 1/150*a**5 - 1/12*a**4 - 21 + 2/5*a**3 + 0*a. Determine i so that z(i) = 0.
2, 3
Find s, given that 31*s**2 + 99*s**3 - 57*s**2 + 24*s**2 + 12*s**4 + 26*s**2 = 0.
-8, -1/4, 0
Solve 15*a + 3/7*a**2 + 0 = 0.
-35, 0
Let u(o) be the second derivative of 21*o**5/40 + 85*o**4/8 + 66*o**3 + 27*o**2 - 205*o. Solve u(v) = 0.
-6, -1/7
Suppose -24 = -3*z - 4*x, 2*z - 4*x - 6 = 10. Let n(w) = -w**2 + 8*w + 2. Let t be n(z). Factor 18*q - 2*q**2 - q**t - 28 + 1.
-3*(q - 3)**2
Let v(t) be the first derivative of -t**6/60 + 3*t**2 - 3. Let i(d) be the second derivative of v(d). Factor i(s).
-2*s**3
Suppose -3*u + 12 = -3*a, 4*u = -4*a + 1612 - 1628. Factor -8/23*g**2 - 24/23*g**3 - 18/23*g**4 + u*g + 0.
-2*g**2*(3*g + 2)**2/23
Let k = 19 + -2. Let 17*d**2 - k*d**3 + d**3 - 8*d + 19*d**2 = 0. Calculate d.
0, 1/4, 2
Let r(m) be the second derivative of 7*m**7/3 - 56*m**6/15 - 62*m**5/5 + 19*m**4/3 + 25*m**3 + 18*m**2 - m - 1. Solve r(a) = 0 for a.
-1, -3/7, 1, 2
Let b(y) be the third derivative of 0*y**4 + 0 + 3/70*y**7 - 1/20*y**6 - 2*y**2 + 0*y**3 - 1/112*y**8 + 0*y**5 + 0*y. Find q such that b(q) = 0.
0, 1, 2
Let z(s) be the first derivative of 10 + 0*s - 3/4*s**4 - 1/10*s**5 - 3/2*s**3 + 0*s**2. Find u, given that z(u) = 0.
-3, 0
Let y = 35 + -32. Factor 6*z + 4 - 3 + 5 - 2*z**y - 10.
-2*(z - 1)**2*(z + 2)
Suppose 0 = -3*a + 2*a + 4*z - 4, -z + 35 = 4*a. Factor 4*v - a*v**3 - 85 + 81 - 2*v**4 + 4*v**5 + 8*v**2 - 2*v**4.
4*(v - 1)**3*(v + 1)**2
Let q(f) be the first derivative of -242*f**6/45 - 22*f**5/15 - f**4/6 - 5*f**3/3 + f - 33. Let l(x) be the third derivative of q(x). Factor l(k).
-4*(22*k + 1)**2
Let j = 1945/54 - 36. Let t(o) be the second derivative of 0*o**2 + 0*o**3 + 1/45*o**5 + 0 + 4*o - j*o**4 - 1/135*o**6. Determine i, given that t(i) = 0.
0, 1
Let c(o) be the third derivative of -o**7/840 - o**4/3 + 15*o**2. Let d(v) be the second derivative of c(v). Determine y, given that d(y) = 0.
0
Let q(d) be the third derivative of d**7/70 - d**6/90 - d**5/10 + d**4/6 + 19*d**3/6 - 18*d**2. Let v(y) be the first derivative of q(y). Factor v(r).
4*(r - 1)*(r + 1)*(3*r - 1)
Factor 2*w**4 - 5*w**3 - 7*w**4 - 2*w**3 + 2*w**4 + 4*w**3.
-3*w**3*(w + 1)
Suppose 20*f - 107 + 47 = 0. Let j(r) be the third derivative of 1/3*r**f + 0*r - 6*r**2 - 1/6*r**4 + 1/30*r**5 + 0. Suppose j(k) = 0. What is k?
1
Let i = -264 - -109. Let z be (1*(-8)/(-70))/((-31)/i). Factor 2/7*m**3 + 0 + z*m**2 + 0*m.
2*m**2*(m + 2)/7
Factor 0 - 2/3*s - 1/3*s**2.
-s*(s + 2)/3
Let n(f) be the second derivative of f**7/2100 + f**6/900 - f**5/50 - 25*f**3/6 + 29*f. Let v(s) be the second derivative of n(s). Solve v(u) = 0.
-3, 0, 2
Let b(f) = -5*f**3 - 18*f**2 + 39*f - 20. Let m(u) = -2*u**2 + u. Let p(t) = -b(t) + 4*m(t). Factor p(g).
5*(g - 1)**2*(g + 4)
Factor 3/5*c**2 + 81/5 - 84/5*c.
3*(c - 27)*(c - 1)/5
Let o(t) = -5*t**3 - 2*t**2 - 4*t - 3. Let r be o(-1). Let y(n) be the second derivative of 6*n + 2/21*n**3 + 3/14*n**2 + 1/84*n**r + 0. What is u in y(u) = 0?
-3, -1
Let 17*b**3 - 79*b**2 - 5*b**5 - 37*b + 99*b**2 + 13*b**3 - 3*b - 5*b**4 = 0. Calculate b.
-2, 0, 1, 2
Let b(q) be the third derivative of -q**7/42 + 13*q**6/24 - q**5 + 12*q**2 + 15. Factor b(u).
-5*u**2*(u - 12)*(u - 1)
Let r(x) be the first derivative of x**5/100 + x**4/60 - x**3/30 - x**2/10 + 10*x - 23. Let l(c) be the first derivative of r(c). Find n, given that l(n) = 0.
-1, 1
Let l = -8 - -18. Suppose -2*k = -4*k + l. Determine m so that 10*m**2 - 2*m**3 - m**4 - 9*m**2 + 0*m**k - m**5 + 5*m**3 - 2*m = 0.
-2, -1, 0, 1
Let d(s) be the second derivative of 27*s + 0 - 2/5*s**2 + 9/100*s**5 - 4/15*s**3 + 1/20*s**4. Factor d(h).
(h - 1)*(3*h + 2)**2/5
Let o(r) be the second derivative of 0 + 8*r - 4/5*r**2 - 1/50*r**5 + 1/10*r**4 + 0*r**3. Find l, given that o(l) = 0.
-1, 2
Suppose 0*g = -2*g + 40. Suppose 0 = v - 1 - g. Let o(t) = 6*t**4 + 2*t**2 - 7*t + 6. Let j(b) = b**4 - b + 1. Let h(i) = v*j(i) - 3*o(i). Factor h(c).
3*(c - 1)**2*(c + 1)**2
Let w(l) be the third derivative of 1/120*l**5 - 1/720*l**6 + 0 - 1/72*l**4 + 0*l + 0*l**3 + 10*l**2. Factor w(c).
-c*(c - 2)*(c - 1)/6
Let g be 4/(-6)*(3 + -9). Let h be (-61)/(-8) - (-30)/80. Factor -2*q**5 - 12*q**3 - 6*q + 4*q - h*q**g - 14 + 14 - 8*q**2.
-2*q*(q + 1)**4
Let k be (-9*(-4)/96)/(2340/832). Let k*r**3 + 2/15*r - 4/15*r**2 + 0 = 0. Calculate r.
0, 1
Let t be 602/56 + -9 - 10/(-8). Factor -1/3 + 1/6*q**t - 1/6*q + 1/3*q**2.
(q - 1)*(q + 1)*(q + 2)/6
Let x(i) = 9*i**2 + 5*i + 1. Let h(z) be the first derivative of 8*z**3/3 + 2*z**2 + 34. Let b(l) = -5*h(l) + 4*x(l). Find f such that b(f) = 0.
-1, 1
Let m(h) be the second derivative of -1/147*h**7 + 1/70*h**5 + 0*h**3 + 0*h**4 + 0 + 0*h**2 + 5*h + 0*h**6. Find f, given that m(f) = 0.
-1, 0, 1
Let l(t) = 2*t**2 + 21*t - 33. Let h(y) = 3*y**2 + 32*y - 51. Let v(p) = -5*h(p) + 8*l(p). What is q in v(q) = 0?
-9, 1
Factor 0 - 36/7*z**2 - 2/7*z**3 - 162/7*z.
-2*z*(z + 9)**2/7
Determine j so that 10*j**4 - 20*j**3 - 22*j**5 - 14