) + 5). Factor 5*k**4 + 5*k - 10/3*k**u - 10/3*k**3 - 5/3*k**5 - 5/3.
-5*(k - 1)**4*(k + 1)/3
Suppose -79*w = -90*w + 22. Let m(x) be the second derivative of 1/70*x**5 + 0*x**4 + 11*x + 0 + 0*x**w - 1/21*x**3. Factor m(t).
2*t*(t - 1)*(t + 1)/7
Let p be ((-2)/(8/(-6)))/((-39)/(-260)). Let w(n) = n**2 - 10*n + 2. Let v be w(p). Solve 4/13*k - 2/13 - 2/13*k**v = 0.
1
Let g(p) = p**3 + 39*p**2 + 107*p - 145. Let j(o) = -o**3 - 78*o**2 - 215*o + 289. Let w(r) = -5*g(r) - 2*j(r). Factor w(h).
-3*(h - 1)*(h + 7)**2
Suppose -3/5*c**4 - 54/5*c**2 - 27/5*c**3 + 72/5 + 12/5*c = 0. Calculate c.
-6, -2, 1
Let o = -15727/7 - -2248. Factor o*p - 6/7 - 3/7*p**2.
-3*(p - 2)*(p - 1)/7
Let o(n) = n**3 + 17*n**2 + 43*n + 20. Let m be o(-12). Let q be ((-9)/8)/(7 + (-1592)/m). Let q*d + 45/2*d**2 + 3/2 + 27/2*d**3 = 0. What is d?
-1, -1/3
Let h(r) be the third derivative of r**6/24 + r**5/6 - 15*r**4/8 - 15*r**3 + 3*r**2 - 18. Let h(f) = 0. Calculate f.
-3, -2, 3
Let m(l) be the third derivative of 0*l**5 - 1/1080*l**6 - 1/1890*l**7 + 0*l**4 + 0*l**3 + 0 + 4*l**2 + 0*l. Determine k, given that m(k) = 0.
-1, 0
Let k = 100 - 39. Let v be 1 - 1*(-3 + 2). Factor m**2 - 61 + k + 0*m**v + m.
m*(m + 1)
Let a(m) be the third derivative of -m**7/525 + m**6/25 + 39*m**5/25 - 27*m**4 - 1215*m**3 + 577*m**2. Solve a(c) = 0.
-9, 15
Solve 3*m**3 - 811*m**2 + 2*m**3 + 393*m**2 + 363*m**2 = 0.
0, 11
Let k = 23 - 20. Factor 15*w**2 - 10*w**4 + 5*w**4 + 7*w**3 + k*w**3.
-5*w**2*(w - 3)*(w + 1)
Factor b**2 - 2*b**2 - 624*b + 6498 - 2*b**2 + 396*b + 5*b**2.
2*(b - 57)**2
Let r(n) be the first derivative of n**3/12 - 65. Factor r(g).
g**2/4
Let s = 3405 - 3393. Factor 3/2 - 3/4*u**5 - 27/4*u - 21/2*u**3 + 9/2*u**4 + s*u**2.
-3*(u - 2)*(u - 1)**4/4
Let d = -9 - -14. Suppose -5*i = -4*q + 25, 0*q - 10 = -q + d*i. Factor 24*x**3 - 9*x**2 + x - 39*x**3 + q*x.
-3*x*(x + 1)*(5*x - 2)
Determine m so that 26/3*m**2 + 0 - 44/3*m**3 + 16/3*m**4 - 4/3*m = 0.
0, 1/4, 1/2, 2
Let p be 11 + 1251/(-63) + 12. Suppose -p*m + 12/7*m**2 - 4/7 = 0. Calculate m.
-1/6, 2
Let k be (-2)/(-5) - -26*(-3)/(-30). Suppose 0 = -o - 2*i + 10, 4 - 2 = k*o - i. Let 2/3*z**o + 4/3*z + 2/3 = 0. Calculate z.
-1
Let y(q) = 75*q**4 - 240*q**3 + 65*q**2 + 199*q + 55. Let m(o) = -25*o**4 + 80*o**3 - 22*o**2 - 66*o - 18. Let s(v) = 7*m(v) + 2*y(v). Let s(z) = 0. What is z?
-2/5, 2
Suppose 0 = o - 6 + 4. Solve 6*s**3 - 3*s + 2 - 16*s**o - 6 + 17*s = 0.
2/3, 1
Let c(x) be the third derivative of 3*x**3 + 2/15*x**6 + 0*x + 11/15*x**5 + 10*x**2 + 2*x**4 - 2 + 1/105*x**7. Factor c(y).
2*(y + 1)**2*(y + 3)**2
Factor 1/2*p**3 - 25*p - 5/2*p**2 + 0.
p*(p - 10)*(p + 5)/2
Let f be (-22)/(-30) - (-8)/(-31 - -7). Let t(q) be the second derivative of -1/3*q**4 - 3*q + 0*q**3 + 0 + f*q**5 + 0*q**2 - 2/15*q**6. Factor t(o).
-4*o**2*(o - 1)**2
Let l(z) be the first derivative of -3*z**4/28 - 9*z**3/7 - 9*z**2/7 + 48*z/7 - 151. Determine w, given that l(w) = 0.
-8, -2, 1
Let k(b) be the second derivative of -b**6/90 + b**5/8 - 11*b**4/24 + 29*b**3/36 - 3*b**2/4 + 54*b - 1. Factor k(f).
-(f - 1)**3*(2*f - 9)/6
Let j(r) be the first derivative of 2*r**3/45 - 34*r**2/5 - 206*r/15 + 588. Solve j(z) = 0 for z.
-1, 103
Let k(d) = d**2 - 12*d + 29. Let a be k(13). Let u be (a/245)/((6/5)/6). Find z, given that -9/7*z + 9/7*z**3 - 3/7*z**4 + u - 3/7*z**2 = 0.
-1, 1, 2
Let q be 15/2 + 3/2. Suppose -q - 43 = -2*d. Factor -o**5 + 3*o**4 + d - 27 - 2*o**3 + 3*o + o - 2*o**2 - o.
-(o - 1)**4*(o + 1)
Factor -j**5 + 0*j**5 + 2*j**5 + 2*j**4 - 3*j**2 + j**4 - 7*j**3 + 6*j**3.
j**2*(j - 1)*(j + 1)*(j + 3)
Let x(d) = -3*d**2 - 28*d + 23. Let h be x(-10). Let j(g) be the first derivative of 4/3*g**h - 1 + 0*g**2 + 0*g. Let j(y) = 0. What is y?
0
What is g in -14/11*g - 2/11*g**2 + 0 = 0?
-7, 0
Factor 21/2*y**2 + 65/6 - 1/6*y**3 + 43/2*y.
-(y - 65)*(y + 1)**2/6
Let v be 15/(-6)*((-130)/(-70) - 3). Factor -v*d**2 - 20/7*d**3 - 2/7*d**5 - 10/7*d - 10/7*d**4 - 2/7.
-2*(d + 1)**5/7
Suppose 0 = 5*p - 15 - 20. Let h(u) = p*u**2 - 11*u - 8*u - 7*u + 13*u**2 + 24. Let k(f) = f**2 - f + 1. Let b(s) = 2*h(s) - 36*k(s). Factor b(c).
4*(c - 3)*(c - 1)
Solve 0*h**3 + 0*h + 0 + 0*h**2 + 1/10*h**5 - 1/10*h**4 = 0 for h.
0, 1
Suppose -114*k = -106*k. Factor k*g**4 - 1/9*g**5 + 2/9*g**3 - 1/9*g + 0 + 0*g**2.
-g*(g - 1)**2*(g + 1)**2/9
Let b(u) be the third derivative of -u**8/5040 - u**7/630 + u**6/60 - u**5/18 + u**4/2 + 14*u**2. Let p(q) be the second derivative of b(q). Factor p(d).
-4*(d - 1)**2*(d + 5)/3
Let l(o) be the first derivative of 1/16*o**4 + 0*o**2 + 1/240*o**6 - 2 + 0*o + 1/40*o**5 - 11/3*o**3. Let s(m) be the third derivative of l(m). Factor s(r).
3*(r + 1)**2/2
Let y(h) be the third derivative of -h**8/756 - 2*h**7/189 + h**6/270 + h**5/27 - 2*h**2 - 20*h. Find i, given that y(i) = 0.
-5, -1, 0, 1
Let g be ((-7596)/465 - -17) + (-58)/(-62) + -1. Factor 33/5*x - g*x**2 + 0.
-3*x*(x - 11)/5
Let p be 8/6*(1640/(-100) + 17). Let q(u) be the first derivative of 20/3*u**3 + p*u**5 - 3 - 4*u**2 - 4*u**4 + 0*u. Factor q(a).
4*a*(a - 2)*(a - 1)**2
Let m(j) = j**2 - 15*j + 1. Let u be m(15). Let x be u - -1 - 175/100. Suppose 1/8*z + 1/8*z**5 + 1/4*z**2 - 1/8*z**4 - x*z**3 - 1/8 = 0. Calculate z.
-1, 1
Let a(p) be the first derivative of -1/4*p**3 + 3/16*p**4 - 3/4*p**2 - 22 + 0*p. Factor a(d).
3*d*(d - 2)*(d + 1)/4
Let v(j) be the first derivative of 3 + 0*j**5 + 8*j + 0*j**3 + 1/48*j**4 + 0*j**2 - 1/120*j**6. Let y(f) be the first derivative of v(f). Factor y(s).
-s**2*(s - 1)*(s + 1)/4
Let v(b) be the second derivative of b**4/18 + b**3/9 - 4*b**2 + 13*b + 2. Let v(s) = 0. Calculate s.
-4, 3
Let s be (39/52)/(6/4)*-150. Let a = 79 + s. Factor 0*o**3 - o**2 + 1/2 + 1/2*o**a + 0*o.
(o - 1)**2*(o + 1)**2/2
Let d(m) be the second derivative of m**4/60 - 17*m**3/30 + 8*m**2/5 + 2*m + 17. Determine h, given that d(h) = 0.
1, 16
Let c(k) = -k**3 - 4*k**2 + 6*k + 7. Let y be c(-5). Factor -23*u**2 + 10*u**2 + 15*u**y - 10*u + 5 + 7.
2*(u - 3)*(u - 2)
Let z(n) be the third derivative of n**6/600 + n**5/6 + 49*n**4/120 - 36*n**2. Find a such that z(a) = 0.
-49, -1, 0
Let u be 4 - 7 - 1*(-3 - -2). Let q be ((-3)/21*u)/((-20)/(-35)). Factor -1/4*s**4 - 1/2*s**3 + 1/4*s**2 + q*s + 0.
-s*(s - 1)*(s + 1)*(s + 2)/4
Let w = -1247 + 1252. Let t(c) be the third derivative of 1/135*c**w - 5/216*c**4 - 1/1080*c**6 - 10*c**2 + 1/27*c**3 + 0 + 0*c. Suppose t(j) = 0. Calculate j.
1, 2
What is j in 32*j - 58/9 - 8/9*j**3 - 74/3*j**2 = 0?
-29, 1/4, 1
Suppose r + 7 - 18 = -5*s, 0 = 5*r - 5. Let t(v) be the first derivative of 3/8*v**2 - 1/12*v**3 - s + 0*v. Factor t(w).
-w*(w - 3)/4
Let -132*f + 92*f + 4*f**2 - 116*f - 160 = 0. What is f?
-1, 40
Let w(d) be the second derivative of -d**6/90 + 2*d**5/15 - d**4/2 - 5*d**3/2 - 6*d. Let h(p) be the second derivative of w(p). Factor h(z).
-4*(z - 3)*(z - 1)
Let p(n) be the first derivative of -n**7/210 + n**6/240 + n**5/60 - n**4/48 - 3*n**2/2 - 9. Let i(f) be the second derivative of p(f). Factor i(l).
-l*(l - 1)*(l + 1)*(2*l - 1)/2
Find h, given that -136 + 379*h + 2*h**2 - 239*h + 2*h**2 - 147 - 13 = 0.
-37, 2
Let a(b) be the second derivative of -b**4/54 - 116*b**3/27 + 13*b**2 - 63*b - 3. Factor a(p).
-2*(p - 1)*(p + 117)/9
Let p(j) be the second derivative of -j**7/63 - 11*j**6/45 - 31*j**5/30 - 17*j**4/18 + 32*j**3/9 + 28*j**2/3 - 232*j. Determine v, given that p(v) = 0.
-7, -2, -1, 1
Let v(n) be the second derivative of 2*n**7/9 + 4*n**6/45 - 91*n**5/15 + 58*n**4/9 + 16*n**3/3 - 643*n. Let v(o) = 0. Calculate o.
-4, -2/7, 0, 1, 3
Let j(q) be the first derivative of -q**5/5 + 5*q**4/4 + 8*q**3/3 - 6*q**2 - 30. Factor j(t).
-t*(t - 6)*(t - 1)*(t + 2)
Let o(y) be the second derivative of -y**6/30 + 3*y**5/20 + y**4/12 - y**3/2 - y - 3. Find d such that o(d) = 0.
-1, 0, 1, 3
Let p(x) be the first derivative of -2*x**3/39 - 4*x**2/13 + 121. Factor p(y).
-2*y*(y + 4)/13
Let k(d) be the first derivative of -d**6/216 + 17*d**5/360 - d**4/12 + 26*d**3/3 + 25. Let g(w) be the third derivative of k(w). Factor g(n).
-(n - 3)*(5*n - 2)/3
Solve 54/5*g + 4/5*g**3 - 4 - 6*g**2 = 0 for g.
1/2, 2, 5
Factor 52 + 27*s + 29*s - 8*s + 8980*s**2 - 8984*s**2.
-4*(s - 13)*(s + 1)
Suppose -8*s - 8 = -12*s. Find l, given that 2 + 36*l + 0 + 81*l**s + 2 = 0.
-2/