hird derivative of i(m). Factor d(s).
-5*s*(s - 1)**2
Factor -6/5*t + 0 + 3/5*t**2 + 3/5*t**3.
3*t*(t - 1)*(t + 2)/5
Let g(y) be the second derivative of -y**4/15 + 124*y**3/15 + 256*y**2/5 - 46*y - 7. Suppose g(x) = 0. Calculate x.
-2, 64
Let b be 123/(-12) + 4 - -7. Let h(s) be the first derivative of -3/5*s**5 + 0*s - b*s**4 + 0*s**2 - 1 + 2*s**3. Factor h(y).
-3*y**2*(y - 1)*(y + 2)
Suppose -237*s - 10 = -238*s. Let z(v) be the first derivative of 15/2*v**2 - 1 - 5/3*v**3 - s*v. Factor z(x).
-5*(x - 2)*(x - 1)
Suppose -302 = -5*p - 32. What is c in -21*c**2 - 20 + 83*c**3 - 48*c**3 + 65*c - p*c**2 - 5*c**4 = 0?
1, 4
Let k be 772/(-386) + 1 + 4. Factor 75/8*f**2 + 3/2 - 57/8*f**k - 3/8*f**5 + 21/8*f**4 - 6*f.
-3*(f - 2)**2*(f - 1)**3/8
Suppose -1695 = 82*b - 647*b. Find y, given that 0*y**2 + y**b - 1/2*y**5 + 0 - 1/2*y + 0*y**4 = 0.
-1, 0, 1
Suppose -205 + 25 = -12*x. Let d be 44/x - (-42)/105. Factor -4/3*k + d*k**3 + 2*k**2 + 0.
2*k*(k + 1)*(5*k - 2)/3
Let j(q) be the third derivative of 5*q**8/112 - 31*q**7/42 + 23*q**6/6 - 20*q**5/3 - 20*q**4/3 + 40*q**3 + 2*q**2 - 149. Let j(h) = 0. What is h?
-2/3, 1, 2, 6
Suppose -b - 35 + 6 = 0. Let a = 31 + b. What is d in -2/5*d**a + 1/5*d**5 + 0 - 1/5*d + 0*d**3 + 2/5*d**4 = 0?
-1, 0, 1
Determine k, given that 64*k**3 + 2*k**4 - 68*k**3 + k - k = 0.
0, 2
Let i(w) be the first derivative of -18 - 2/13*w + 2/39*w**3 - 1/13*w**2 + 1/26*w**4. Find l, given that i(l) = 0.
-1, 1
Let s = -2943 + 5703/2. Let o = 93 + s. What is u in 0 - 1/2*u**5 - 1/2*u**3 + 3/2*u**2 + u - o*u**4 = 0?
-2, -1, 0, 1
Factor 1/4*u**3 - 33/4*u - 15/4*u**2 - 17/4.
(u - 17)*(u + 1)**2/4
Let l = -13309 - -53243/4. Factor 1/4*b**2 + 0 - l*b.
b*(b - 7)/4
Let h(y) be the first derivative of 20*y**2 + 0*y - 100/3*y**3 + 125*y**5 - 125/2*y**4 + 13. Solve h(o) = 0 for o.
-2/5, 0, 2/5
Suppose -3*y = -10*r + 8*r - 17, -4*y = 4*r + 4. Factor -20*u**2 + 9*u - 11*u**3 + 6*u**y + 11*u + 5*u**4.
5*u*(u - 2)*(u - 1)*(u + 2)
Let o(b) be the second derivative of 5*b**9/3024 - b**8/336 - 13*b**3/6 - 12*b. Let p(y) be the second derivative of o(y). Factor p(v).
5*v**4*(v - 1)
Suppose -12 = 3*y + 30. Let z(t) = t**3 + 14*t**2 + t + 17. Let o be z(y). Factor 0*b**o + 2/3*b**2 + 0 - 1/3*b + 1/3*b**5 - 2/3*b**4.
b*(b - 1)**3*(b + 1)/3
Let a be (3/(-2))/((-39)/104). Suppose 3*g - 22 = -2*s, -g - a*s + 5 = 1. Find b such that -14*b**4 - 6*b**4 - 3*b + g*b**2 + 7*b**2 - 2*b = 0.
-1, 0, 1/2
Let m(v) = 17*v**3 - 546*v**2 + 541*v - 6. Let b(d) = -185*d**3 + 6005*d**2 - 5950*d + 65. Let s(r) = -6*b(r) - 65*m(r). Factor s(u).
5*u*(u - 107)*(u - 1)
Let k(p) be the third derivative of 0 - 6*p**2 - 1/75*p**5 + 1/840*p**8 + 0*p**3 + 0*p + 0*p**6 - 1/60*p**4 + 2/525*p**7. Factor k(c).
2*c*(c - 1)*(c + 1)**3/5
Let h(f) be the second derivative of 16*f - 1/18*f**4 - 3*f**2 - 2/3*f**3 + 0. Let h(m) = 0. What is m?
-3
Let s(m) be the third derivative of 35/6*m**5 - 49/60*m**6 + 0 - 22/3*m**4 + 4*m**3 + 0*m + 30*m**2. What is x in s(x) = 0?
2/7, 3
Suppose -5*u = 2*u. Let k(h) be the second derivative of 1/2*h**3 - 2*h + u*h**2 + 0 + 1/4*h**4. Factor k(y).
3*y*(y + 1)
Let g(o) be the second derivative of -o**5/25 - 2*o**4/5 - 8*o**3/5 - 16*o**2/5 - 78*o. Find u such that g(u) = 0.
-2
Let m(i) be the second derivative of -i**5/20 - 23*i**4/12 - 43*i**3/6 - 21*i**2/2 - 24*i. Factor m(j).
-(j + 1)**2*(j + 21)
Let k be 5/1 + (6 + -6 - 1). Solve 85*y**2 - 4*y**4 + 7*y**k + 9*y**4 - 89*y**2 + 16*y**3 - 8*y = 0 for y.
-1, 0, 2/3
Let a(m) be the third derivative of 4/3*m**4 - 37*m**2 + 0*m + 1/5*m**5 + 0 + 8/3*m**3. Suppose a(r) = 0. Calculate r.
-2, -2/3
Let d(m) be the third derivative of 0*m + 1/90*m**5 + 0 + 0*m**3 + 1/18*m**4 + m**2. Suppose d(a) = 0. What is a?
-2, 0
Factor 0*s + 2/7*s**4 - 40/7*s**2 + 0 + 38/7*s**3.
2*s**2*(s - 1)*(s + 20)/7
Let n = 786 - 783. Let l(k) be the second derivative of k**4 + 0 + 0*k**2 - 1/2*k**n + 2*k. Suppose l(s) = 0. What is s?
0, 1/4
Let j(t) = -t**3 + 3*t**2 + t + 1. Let z be j(3). Let 68*d**2 + z + 12 - 72*d**2 + 12*d = 0. What is d?
-1, 4
Let d(b) be the third derivative of b**9/30240 + b**8/13440 - b**7/5040 - b**6/1440 - b**4/3 + 7*b**2. Let n(x) be the second derivative of d(x). Factor n(h).
h*(h - 1)*(h + 1)**2/2
Let o(f) be the first derivative of f**7/189 - f**6/45 - 2*f**5/45 + 10*f + 1. Let t(n) be the first derivative of o(n). Factor t(r).
2*r**3*(r - 4)*(r + 1)/9
Let v(y) = 17*y**5 - 158*y**4 + 80*y**3 + 210*y**2 - 93*y - 48. Let c(o) = o**5 + o**4 + o + 1. Let m(d) = -2*c(d) + v(d). Find a, given that m(a) = 0.
-1, -1/3, 1, 10
Let h(s) be the third derivative of s**5/150 - s**3/15 - 72*s**2. What is a in h(a) = 0?
-1, 1
Let l(x) = -20*x - 2. Let z be l(1). Let y = -19 - z. What is u in 1/7*u**4 + 4/7 - 2/7*u**y - 3/7*u**2 + 4/7*u = 0?
-1, 2
Let a = 184 + -184. Let r(f) be the third derivative of 1/150*f**5 + 1/300*f**6 + 0*f**4 + a*f**3 + 0*f + 3*f**2 + 0. Factor r(p).
2*p**2*(p + 1)/5
Let m(r) be the third derivative of r**5/330 + r**4/6 - 23*r**3/33 - 15*r**2 + 5*r. Solve m(y) = 0 for y.
-23, 1
Suppose 2*c + 80 = -480. Let k be 96/c*(-21)/6. Solve 8/5 - 2/5*a**4 + 8/5*a - k*a**2 - 8/5*a**3 = 0 for a.
-2, -1, 1
Let h(n) = 5*n**5 - 28*n**4 + 17*n**3 - 6*n**2 - 3*n - 3. Let d(g) = g**4 + g**3 + 2*g**2 + g + 1. Let o(t) = -3*d(t) - h(t). Find m such that o(m) = 0.
0, 1, 4
Let o(g) = -6*g**3 - 69*g**2 - 342*g + 27. Let j(k) = k**3 + 10*k**2 + 49*k - 4. Let r(z) = 27*j(z) + 4*o(z). Find u, given that r(u) = 0.
-3, 0, 5
Determine l so that 43*l**2 + 28*l**2 - 9 + 64*l**2 + 37*l - 41*l**2 + 13*l**3 + 35*l**3 = 0.
-9/8, -1, 1/6
Let c(m) = -m**2 + m. Let l(q) = -9*q**3 + 88*q**2 - 241*q + 50. Let y(i) = 4*c(i) - l(i). Determine n so that y(n) = 0.
2/9, 5
Let l(i) be the third derivative of i**8/1176 - i**7/49 + 43*i**6/210 - 39*i**5/35 + 99*i**4/28 - 45*i**3/7 - 2*i**2 + 9*i. Find o, given that l(o) = 0.
1, 3, 5
Let j(r) = 20 - 33 - 8*r + 7*r. Let q be j(-15). Factor -4/7*g**q - 2/7*g**3 + 0 - 2/7*g.
-2*g*(g + 1)**2/7
Let r = -1201/220 + 314/55. Solve r*s**2 - 3/2 - 1/4*s = 0.
-2, 3
Let x(c) = 4*c**4 - 26*c**3 - 36*c**2 - 34*c. Let v(m) = 3*m**4 - 17*m**3 - 23*m**2 - 23*m. Let a(k) = -7*v(k) + 5*x(k). Find i, given that a(i) = 0.
-9, -1, 0
Let x(h) be the second derivative of 9/2*h**2 - 5/2*h**3 + 2*h - 1/2*h**4 + 0. Factor x(l).
-3*(l + 3)*(2*l - 1)
Let h = -149317/4 + 37330. Factor 0 + 27/4*u - 9/2*u**2 + h*u**3.
3*u*(u - 3)**2/4
Let -2/7 - 2/7*t**4 - 1/7*t + 2/7*t**3 + 4/7*t**2 - 1/7*t**5 = 0. Calculate t.
-2, -1, 1
Let c be 0*((-16)/56 + (-12)/56). Let t(z) be the third derivative of -9*z**2 - 1/66*z**4 + 0 + c*z**3 + 0*z - 1/330*z**5. Suppose t(n) = 0. Calculate n.
-2, 0
Factor -8/17*o**3 + 2/17*o**4 + 0 - 10/17*o**2 + 0*o.
2*o**2*(o - 5)*(o + 1)/17
Let c = 56 + -52. Let 79 + 9*x - 16*x**2 + c*x**3 + 3*x - 79 = 0. Calculate x.
0, 1, 3
Let b be 114/(-171)*3*2/(-14). Factor -12/7*m + b*m**2 + 18/7.
2*(m - 3)**2/7
Let q be 7 + (-8 - 1) + 6 + -1. Let m(s) be the first derivative of -s**2 + 1/3*s**q - 3*s + 8. Let m(t) = 0. What is t?
-1, 3
Let a(x) be the third derivative of -35/24*x**4 - 1/24*x**6 + 5/12*x**5 + 0*x - 11*x**2 + 0 + 5/2*x**3. Factor a(j).
-5*(j - 3)*(j - 1)**2
Let t = -1994 + 1997. Factor 6*x**2 + 0 + 0*x**t + 0*x - 9/2*x**4 + 3/2*x**5.
3*x**2*(x - 2)**2*(x + 1)/2
Suppose -309 - 255 = -4*m. Let i = m + -1831/13. Solve i*f**2 + 2/13 + 4/13*f = 0.
-1
Let s(c) be the third derivative of c**6/5 + 37*c**5/30 - 15*c**4/4 - 4*c**3/3 - 31*c**2 + 7. Solve s(i) = 0 for i.
-4, -1/12, 1
Let g(f) = -f**5 + f**4 + 41*f**3 + 59*f**2 + 20*f. Let k(x) = 3*x**5 - 3*x**4 - 83*x**3 - 117*x**2 - 40*x. Let y(d) = 7*g(d) + 4*k(d). Factor y(u).
5*u*(u - 4)*(u + 1)**3
Let w(v) = 8*v**2 + 24*v + 2. Let k(m) = 3*m**2 - m + 1. Let a(p) = 4*k(p) - 2*w(p). Solve a(b) = 0 for b.
-13, 0
Let l(h) be the second derivative of -5*h**7/42 - 10*h**6/3 - 19*h**5/4 - 2*h - 11. Factor l(o).
-5*o**3*(o + 1)*(o + 19)
Let z(m) be the third derivative of -5/3*m**3 + 0*m - 1/12*m**5 + 0 - 5/8*m**4 - 25*m**2. Factor z(x).
-5*(x + 1)*(x + 2)
Let d(w) be the second derivative of 0*w**2 + 0 - 1/5*w**5 - 4/3*w**4 + 0*w**3 + 5*w. Suppose d(g) = 0. Calculate g.
-4, 0
Let m(q) = 6*q**3 + 4*q**2 - 2*q + 16. Let x(i) = -2*i**3 - i**2 + i - 6. Let t(f) = 3*m(f) + 