e the third derivative of a(z). Factor v(j).
-2*(j - 1)**2/15
Let b(o) be the third derivative of -o**8/336 + 3*o**7/175 - o**6/50 - 2*o**5/75 - 11*o**2 + 15. What is k in b(k) = 0?
-2/5, 0, 2
Let y(h) = h + 8. Let z be y(-6). Factor 38*l**2 - 68*l - 2 + 26 - 12*l**3 + 22*l**z - 4*l**4.
-4*(l - 1)**3*(l + 6)
Let n(t) be the first derivative of 1/4*t**4 + 1/3*t**3 - t - 1/2*t**2 + 3. Factor n(w).
(w - 1)*(w + 1)**2
Let a(z) = 2*z**2 - 14*z + 23. Let t be a(2). Let r(i) be the third derivative of 0*i - 1/24*i**4 + 0 + 0*i**3 + 1/15*i**5 - t*i**2. Let r(j) = 0. What is j?
0, 1/4
Let p be (893/(-5358))/(((-2)/24)/(1 - 0)). Let z be (-56)/(-90) - 2/9. Find q, given that 6/5*q**p + z - 6/5*q - 2/5*q**3 = 0.
1
Let u(t) be the second derivative of 1/6*t**3 - 1/60*t**5 + 1/9*t**4 + t - 3*t**2 + 0. Factor u(p).
-(p - 3)**2*(p + 2)/3
Determine w so that 192 + 4/3*w**2 + 32*w = 0.
-12
Factor 2*q + 8*q**3 - 2*q + 5*q - 16*q - 20*q**2 + 3*q + 20*q**4.
4*q*(q - 1)*(q + 1)*(5*q + 2)
Let r be 4 + (-147)/36 - -3*(-175)/(-252). Factor r + 8/3*n**3 - 10*n**2 + 16/3*n.
2*(n - 3)*(n - 1)*(4*n + 1)/3
Let z = -85 - -120. Let 6*u**2 + 3*u**2 + z*u - 15*u**3 - 1 + 11 + u**2 = 0. Calculate u.
-1, -1/3, 2
Let m be (-6 + (-180)/(-24))/((-12)/(-16)). Find h such that 2*h**4 - 2*h + 1/2*h**5 - m*h**2 + 0 + 3/2*h**3 = 0.
-2, -1, 0, 1
Suppose -5*r - 9 = -29. Factor 81*z + 8*z**2 - 16*z**4 + 8*z**2 + r*z**5 - 97*z + 12*z**3.
4*z*(z - 2)**2*(z - 1)*(z + 1)
Let j(n) be the third derivative of n**7/210 - n**6/24 + n**5/15 + 51*n**2. Factor j(t).
t**2*(t - 4)*(t - 1)
Let o(p) be the third derivative of -p**8/1344 + p**7/420 + p**6/160 + 85*p**2. Factor o(c).
-c**3*(c - 3)*(c + 1)/4
Factor -3/7*i**2 - 6/7*i - 3/7.
-3*(i + 1)**2/7
Let t(w) be the second derivative of 1/72*w**4 - 1/3*w**2 + 0*w**3 + 36*w + 0. Suppose t(f) = 0. Calculate f.
-2, 2
Let d(s) = 3*s**2 + 17*s - 3. Let g be d(-7). Factor g*b**3 + 84*b**2 - 2*b**4 - 64*b**2 + 7*b**4.
5*b**2*(b + 1)*(b + 4)
Let r(i) be the first derivative of i**4/78 + 8*i**3/39 - 9*i**2/13 + 9*i - 18. Let g(l) be the first derivative of r(l). Find h such that g(h) = 0.
-9, 1
Let r = 757 - 113549/150. Let f(p) be the second derivative of 1/210*p**7 - 1/50*p**5 + 0*p**3 + 0*p**4 + 0*p**2 + 0 - r*p**6 + p. Factor f(a).
a**3*(a - 2)*(a + 1)/5
Let b(n) be the first derivative of n**6/24 - 3*n**5/10 + 13*n**4/16 - n**3 + n**2/2 - 91. Find x such that b(x) = 0.
0, 1, 2
Let d be (-9 + (-147)/(-14))/(15/20). Suppose 1/4*s**3 + 0 + 0*s + 0*s**2 + 4*s**5 - d*s**4 = 0. What is s?
0, 1/4
Let i = 391 - 1151. Let u be 3 - 10/(i/(-132)). What is g in -96/19*g - u*g**2 - 128/19 - 2/19*g**3 = 0?
-4
Suppose 2*h + n - 41 + 10 = 0, -3*h + 42 = 3*n. Suppose -h - 1 = -6*a. Factor 3/4*s + 0*s**2 - 1/2 - 1/4*s**a.
-(s - 1)**2*(s + 2)/4
Let b(r) = 28*r**3 - 24*r**2 - 4*r + 10. Let k(q) = -q**2 + 5*q**3 + 7*q**3 + 0 + 1 - 11*q**3. Let x(h) = -b(h) + 10*k(h). Factor x(n).
-2*n*(n - 1)*(9*n + 2)
Let y(c) be the first derivative of -5*c**3/3 + 65*c**2 + 135*c - 119. Factor y(l).
-5*(l - 27)*(l + 1)
Let d(i) be the second derivative of i**4/12 + 25*i**3/6 + 23*i**2 - 188*i. Factor d(r).
(r + 2)*(r + 23)
Factor -1/3*m**2 + 1/6*m**3 - 7/6*m - 2/3.
(m - 4)*(m + 1)**2/6
Let u(i) be the first derivative of 7/15*i**2 - 40 - 4/3*i - 1/30*i**4 + 8/45*i**3. Factor u(o).
-2*(o - 5)*(o - 1)*(o + 2)/15
Let w = 5177/12 + -431. Let g(r) be the first derivative of w*r**3 + r**2 + 1/16*r**4 + r - 1. Find i, given that g(i) = 0.
-2, -1
Let l(k) be the third derivative of k**5/140 + k**4/7 + k**3/2 - 12*k**2 - 2*k. Factor l(b).
3*(b + 1)*(b + 7)/7
Let t be 200/1875*(-3)/(-4). Let w(r) be the third derivative of 2/15*r**4 + 0*r**3 + 1/525*r**7 + t*r**5 + 0*r + 1/50*r**6 + 0 - 12*r**2. Factor w(h).
2*h*(h + 2)**3/5
Let v = 14 + -10. Suppose 9*r = v*r + 10. Factor -z - z - z + z + 2*z**3 - r + 2*z**2.
2*(z - 1)*(z + 1)**2
Let n(x) = x**2 - 3. Let s(y) = -1. Let c(m) = -n(m) + 2*s(m). Let z(v) = 4*v**2 - 4. Let h(q) = 2*c(q) + z(q). Factor h(u).
2*(u - 1)*(u + 1)
Let v(b) = 4*b**3 + 10*b**2 - 26*b + 12. Suppose -4*i = -4*m - 4, -9 = i - 2*m + 6*m. Let g(p) = -p**3 + p**2. Let t(f) = i*v(f) - 6*g(f). Factor t(k).
2*(k - 6)*(k - 1)**2
Let r(n) be the second derivative of n**4/4 - 243*n**2/2 - n. Factor r(b).
3*(b - 9)*(b + 9)
Suppose 228*n = 227*n + 5. Let l(h) be the third derivative of 0*h**7 - 1/96*h**4 - 1/1344*h**8 + n*h**2 + 0*h**3 + 0*h**5 + 0 + 0*h + 1/240*h**6. Factor l(g).
-g*(g - 1)**2*(g + 1)**2/4
Let i(u) = -u**2 + u - 1. Let w = -58 + 68. Let r(x) = 15*x**2 - 25*x + 20. Let m = -2 - -3. Let l(s) = m*r(s) + w*i(s). Factor l(p).
5*(p - 2)*(p - 1)
Factor -132/7*f + 0 + 4/7*f**3 - 32/7*f**2.
4*f*(f - 11)*(f + 3)/7
Let c = 2254 + -2252. Solve -14/3*j**c + 0 - 4/3*j = 0 for j.
-2/7, 0
Let c be 1/3*-3*5/(-12). Let l(s) be the second derivative of -c*s**3 - s + 1/2*s**2 - 1/40*s**5 + 1/6*s**4 + 0. Let l(u) = 0. What is u?
1, 2
Let c(k) be the third derivative of 0*k - 1/15*k**5 + 2/105*k**7 + 0 + 4*k**2 + 0*k**6 + 0*k**3 + 0*k**4. Factor c(f).
4*f**2*(f - 1)*(f + 1)
Let b = -753 - -753. Let f(z) be the third derivative of 0*z**3 - 1/480*z**6 + 1/240*z**5 + 1/96*z**4 - 4*z**2 - 1/840*z**7 + 0*z + b. Factor f(v).
-v*(v - 1)*(v + 1)**2/4
Let g(s) be the second derivative of 1/3*s**4 + 0 + 16*s + 2/3*s**3 + 0*s**2 - 2/5*s**5. Factor g(x).
-4*x*(x - 1)*(2*x + 1)
Let o be 72 + -77 + (-17)/(-3). Find x such that 8/3*x - o*x**2 + 0 = 0.
0, 4
Let k = -278 - -283. Let f(n) be the second derivative of -6*n - 1/10*n**k + 0*n**4 - 2*n**2 + 0 + n**3. Let f(s) = 0. Calculate s.
-2, 1
Let i = -1 + 1. Let d = -123 - -126. Factor q**2 + i - d*q**2 + 0 - 6*q - 4.
-2*(q + 1)*(q + 2)
Let o(u) = -2*u - 8. Let z be o(-6). Let w be (-5)/(-2)*(94/20 - z). Let 1/4 + 15/4*d**2 + w*d + d**4 + 13/4*d**3 = 0. Calculate d.
-1, -1/4
Let n(h) be the first derivative of -2/3*h**3 - 11/20*h**4 + 19 + 11/10*h**2 - 2/5*h + 12/25*h**5. Determine j so that n(j) = 0.
-1, 1/4, 2/3, 1
Let p(v) be the second derivative of v**6/315 - v**5/70 - v**4/126 + v**3/21 + v + 40. Factor p(c).
2*c*(c - 3)*(c - 1)*(c + 1)/21
Let j(o) = o**2 + 2. Let f(n) = 63 + 3*n**2 - 57 + 2*n - 5*n**2 - n**2. Let a(s) = -f(s) + 3*j(s). Determine d so that a(d) = 0.
0, 1/3
Factor 12*f + 3/5*f**4 + 6*f**3 + 87/5*f**2 + 0.
3*f*(f + 1)*(f + 4)*(f + 5)/5
Let h(v) be the third derivative of 0 + 0*v**3 - 1/1080*v**6 + 0*v - 1/108*v**4 + 1/180*v**5 - 16*v**2. Suppose h(z) = 0. What is z?
0, 1, 2
Let l be ((-14400)/(-1344))/((-2)/(-14)*4). Factor -3/4*h**2 - l - 15/2*h.
-3*(h + 5)**2/4
Let i(t) be the first derivative of 2/15*t**3 - 11 + t**2 + 8/5*t. Let i(x) = 0. Calculate x.
-4, -1
Let g(w) = -3*w + 8. Let m be g(2). Let b(l) = -l**3 + l**2 + 6*l. Let j be b(3). Solve 0 + 2/9*k**m + j*k = 0 for k.
0
Let g(t) be the third derivative of -t**8/4032 - t**7/336 - t**6/72 + t**5/2 - 26*t**2. Let d(n) be the third derivative of g(n). Factor d(v).
-5*(v + 1)*(v + 2)
Factor -328/9*c + 26896/9 + 1/9*c**2.
(c - 164)**2/9
Let f be (90/(-8))/(-3)*260/26. Factor 3/2*t**2 - 15*t + f.
3*(t - 5)**2/2
Let t(i) be the second derivative of -i**5/140 + 5*i**4/84 + i**3/7 - 2*i - 42. Factor t(z).
-z*(z - 6)*(z + 1)/7
Suppose 5*q = -i + 24, -3 = -3*q + i + 5. Let f be (-15 + q/(-1))*-1. Factor 4*r - 5 + 5 - f*r**2 + 2*r**3 + 13*r**2.
2*r*(r - 2)*(r - 1)
Let j(t) be the second derivative of -t**8/2240 - t**7/70 - t**6/5 - 8*t**5/5 + 3*t**4/2 - 7*t. Let z(i) be the third derivative of j(i). Solve z(o) = 0.
-4
Let q = 116 + -114. Let h(p) be the first derivative of 3/4*p**4 + 6*p + 1 - q*p**3 - 3/2*p**2. Suppose h(d) = 0. Calculate d.
-1, 1, 2
Let l(j) be the second derivative of -j**7/504 + 5*j**6/144 - j**5/6 + j**4 + 11*j. Let c(q) be the third derivative of l(q). Factor c(i).
-5*(i - 4)*(i - 1)
Let l(i) be the first derivative of i**3/12 - 7*i**2/8 - 15*i - 173. Determine h so that l(h) = 0.
-5, 12
Let n(z) be the second derivative of 9/4*z**3 - 6*z**2 - 1/8*z**4 + 0 - 17*z. Let n(x) = 0. Calculate x.
1, 8
Let p(y) be the first derivative of y**5/25 + y**4/20 - y**3/15 - y**2/10 - 58. Find u, given that p(u) = 0.
-1, 0, 1
Let c(d) be the third derivative of 0*d**3 + 0*d**5 + 0*d**4 + 1/40*d**6 - 12*d**2 + 0 - 1/210*d**7 + 0*d. Determine x so that c(x) = 0.
0, 3
Let s(r) be the t