at 0*w**3 + m*w**4 + 0 - 2/3*w**2 + 0*w = 0.
-1, 0, 1
Let b(g) be the second derivative of 36*g + 0 - 3/28*g**5 - 3/14*g**3 - 1/4*g**4 - 1/70*g**6 + 0*g**2. Solve b(i) = 0.
-3, -1, 0
Let i(k) be the third derivative of -k**5/100 + 111*k**4/20 - 12321*k**3/10 + 113*k**2. Solve i(y) = 0 for y.
111
Let m(v) be the second derivative of -v**6/60 + v**5/15 - 7*v**3/2 - 8*v. Let z(n) be the second derivative of m(n). Factor z(h).
-2*h*(3*h - 4)
Let b(g) = 15*g**3 - 260*g**2 + 475*g - 210. Let x(a) = -2*a**3 + 37*a**2 - 68*a + 30. Let v(i) = -3*b(i) - 20*x(i). Solve v(u) = 0 for u.
1, 6
Let n(u) be the third derivative of u**5/20 + u**4/2 - 45*u**3/2 - 44*u**2 + 2*u. Determine k so that n(k) = 0.
-9, 5
Let a(s) be the third derivative of s**7/140 + 9*s**6/160 - 3*s**5/40 - 5*s**4/32 - 194*s**2. Suppose a(o) = 0. Calculate o.
-5, -1/2, 0, 1
Let r be ((-629)/(-51))/37 + (10/6)/1. Factor -2/7*i**r + 0 - 2/7*i.
-2*i*(i + 1)/7
Let c(i) be the second derivative of i**6/24 + 59*i**5/40 + 67*i**4/48 - 23*i**3/12 + 4*i - 13. Find z such that c(z) = 0.
-23, -1, 0, 2/5
Suppose -r = 2*g - 362, -g - 2*r = -2*g + 191. Find p, given that 36*p**2 + 154 - g*p**3 + 38 + 186*p**3 + 146*p - 2*p = 0.
-4
Factor -2/5*s**3 + 18/5*s**2 - 52/5*s + 48/5.
-2*(s - 4)*(s - 3)*(s - 2)/5
Suppose -30 = -8*i + 13*i. Let z(k) = 3*k**3 - 3*k**2 - 6*k + 6. Let y(p) = -4 - p + 3*p + 3*p**2 + 4*p - 1 - 3*p**3. Let f(t) = i*y(t) - 5*z(t). Factor f(q).
3*q*(q - 2)*(q + 1)
Let m(w) be the second derivative of -2*w**6/15 - w**5/5 + 8*w**4/3 + 8*w**3 - 3*w - 4. Factor m(u).
-4*u*(u - 3)*(u + 2)**2
Let d(k) be the first derivative of -8 + 1/4*k**4 + k - 1/2*k**2 - 1/3*k**3. Solve d(u) = 0 for u.
-1, 1
Suppose 28*k - 32*k = -24. Let l(j) be the second derivative of 0*j**2 + 0 + 0*j**3 - 8/15*j**5 - 1/7*j**7 - 4*j + 2/9*j**4 + 7/15*j**k. Solve l(s) = 0.
0, 2/3, 1
Let i(n) be the first derivative of -4*n**3/3 + 4*n**2 + 32*n + 194. Factor i(z).
-4*(z - 4)*(z + 2)
Let q = -91 - -91. Let r(x) be the first derivative of q*x**3 - 7 + 4/5*x**5 + 2*x**4 - 4*x**2 - 4*x. Solve r(u) = 0 for u.
-1, 1
Factor -56*y**2 + 70 + 15914*y**3 - 15918*y**3 - 14 + 4*y.
-4*(y - 1)*(y + 1)*(y + 14)
Solve -a**3 + 21*a - 6*a**3 + 2*a**3 + 35*a**2 + 149*a + 10*a**2 + 120 = 0.
-2, -1, 12
Solve 4/3*f**3 - 1/3 + 1/3*f**2 - 4/3*f = 0 for f.
-1, -1/4, 1
Let v(w) = w**3 - 2*w**2. Let p(j) = -j**4 - 24*j**3 - 31*j**2 + 27*j + 26. Let x(m) = -p(m) + 3*v(m). Factor x(y).
(y - 1)*(y + 1)**2*(y + 26)
Let s(g) be the third derivative of 1/40*g**6 + 0 + 0*g + 25*g**2 - 1/4*g**4 + 1/20*g**5 + 0*g**3. Factor s(a).
3*a*(a - 1)*(a + 2)
Let w(a) be the first derivative of -2*a**3/15 + 6*a**2/5 - 16*a/5 - 271. What is q in w(q) = 0?
2, 4
Let a = 2 - 250. Let z = 248 + a. Solve z*x - 3/5*x**2 + 0 = 0.
0
Let l = -345 + 347. Let s(f) be the first derivative of 4*f**4 - 4 + 0*f - 4/5*f**5 + 4*f**l - 20/3*f**3. Factor s(a).
-4*a*(a - 2)*(a - 1)**2
Factor -5*l**2 - 24*l**2 - 2*l**3 + l**2 + 54*l - 22 - 6 + 4*l**2.
-2*(l - 1)**2*(l + 14)
Let k be 18*1*(-2)/(-6). Let l be 114/27 - k/27. Factor h - 7*h + 2*h + 0*h + l*h**2.
4*h*(h - 1)
Let n(t) be the first derivative of 25/2*t**2 - 5 + 5/3*t**3 + 15*t - 5/4*t**4. Suppose n(b) = 0. Calculate b.
-1, 3
Let i(p) be the first derivative of 0*p**3 - 1/18*p**4 + 4/9*p**2 + 0*p + 14. Factor i(z).
-2*z*(z - 2)*(z + 2)/9
Let j be (-242)/22 - 1884/(-132). Solve j*v + 16/11*v**3 - 42/11*v**2 + 0 - 2/11*v**4 = 0.
0, 2, 3
Factor 21/5*m + 1/5*m**4 - 9/5*m**3 + 11/5*m**2 + 0.
m*(m - 7)*(m - 3)*(m + 1)/5
Let j(z) be the second derivative of 0*z**2 - 1/90*z**5 + 0 - 14*z - 4/27*z**3 - 2/27*z**4. Determine t so that j(t) = 0.
-2, 0
Let p(t) be the second derivative of 0 - 2/25*t**5 + 0*t**2 - 8/15*t**3 + 3/5*t**4 + 11*t. Factor p(u).
-4*u*(u - 4)*(2*u - 1)/5
Let t be ((-11)/4 + 1)*(-100)/7000. Let r(n) be the third derivative of -t*n**5 - n**3 + 0 + 3*n**2 - 5/16*n**4 + 0*n. Factor r(w).
-3*(w + 1)*(w + 4)/2
Factor -12/5*c**3 + 0 - 93/5*c + 75*c**2.
-3*c*(c - 31)*(4*c - 1)/5
Let o = -376/203 + 91/29. Factor 3/7*t**4 + 0 + o*t**2 + 2/7*t + 10/7*t**3.
t*(t + 1)*(t + 2)*(3*t + 1)/7
Let f(z) = 2*z**3 - 4*z**2 + 5*z - 12. Let u be f(3). Let j = 23 - u. Suppose 12/5*r**j - 8/5 + 4/5*r = 0. What is r?
-1, 2/3
Let r = -933 + 937. Let k(w) be the second derivative of -8*w + 0 - 2/21*w**3 + 1/14*w**r - 1/105*w**6 + 0*w**5 + 0*w**2. Factor k(g).
-2*g*(g - 1)**2*(g + 2)/7
Suppose 4*j = 3*j + g + 9, -4*g = -2*j + 28. Determine h so that -10*h**2 - 23*h**j + 3*h**4 + 3*h**5 - 8*h**5 - 25*h**3 = 0.
-2, -1, 0
Let s(d) = d**3 - 9*d**2 - 12*d + 24. Let n be s(10). Solve -30*y**2 + 5*y + 21*y**n + 10*y**3 + 5 + 4*y**5 + 4*y**4 - 19*y**5 = 0 for y.
-1, -1/3, 1
Let y(t) = t**4 - 11*t**3 - 26*t**2 + 44*t + 12. Let v(z) = 2*z**4 - 12*z**3 - 27*z**2 + 43*z + 9. Let c(o) = -4*v(o) + 3*y(o). Solve c(m) = 0.
-2, 0, 1, 4
Let a(s) = -s**3 + 7*s**2 - 2*s - 18. Let g be a(6). Factor 79 - g*y + 171 - 144*y + 30*y**2 - 2*y**3.
-2*(y - 5)**3
Let r(z) be the third derivative of -z**5/60 + 5*z**4/24 - 2*z**3/3 - 29*z**2. Factor r(g).
-(g - 4)*(g - 1)
Let l(g) = -2*g - 42. Let p be l(-22). Let u be p + (-30)/18 - -1. Factor 2/3*f**2 + 0 - u*f.
2*f*(f - 2)/3
Let x(n) = 103*n + 42*n + 115*n - 36*n**2 - 69. Let l(h) = -9*h**2 + 65*h - 17. Let a(r) = -26*l(r) + 6*x(r). Determine y so that a(y) = 0.
2/9, 7
Let q(w) be the first derivative of 4*w**3/3 - 4*w**2 - 37. Factor q(a).
4*a*(a - 2)
Suppose -2*p + 8 = 3*o, 5*p - 11*o = -13*o + 20. Let -4/7*g - 4/7*g**3 + 1/7*g**p + 6/7*g**2 + 1/7 = 0. What is g?
1
Let a be 2*2/(-14) + 5*(-70)/(-196). Factor a*l**3 + 3/2*l**2 - l**4 - l + 0.
-l*(l - 2)*(l + 1)*(2*l - 1)/2
Suppose -129*u + 6 = -134*u + 3*a, 2*u = 4*a - 8. Let -1/4*j**5 + u*j**2 + 0*j + 0 - 9/4*j**3 - 3/2*j**4 = 0. What is j?
-3, 0
Let c(h) be the third derivative of 0 + 1/120*h**5 + 0*h - 1/6*h**4 + 7/12*h**3 + 4*h**2. Solve c(z) = 0 for z.
1, 7
Let u(v) = 5*v**3 + 41*v**2 - 516*v - 576. Let i(t) = -t**3 + t**2 - 2*t. Let m(j) = 6*i(j) + u(j). Find c such that m(c) = 0.
-1, 24
Let i(b) be the second derivative of -b**6/45 + b**4/3 - 8*b**3/9 + b**2 + 602*b - 2. Factor i(c).
-2*(c - 1)**3*(c + 3)/3
Let c = 53/12 - 155/84. Factor c*v**4 - 22/7*v**3 + 0*v + 4/7*v**2 + 0.
2*v**2*(v - 1)*(9*v - 2)/7
Let o be (35/(-6))/(-35) + (-2)/(-6). What is w in -1/4*w**3 - 1/4*w + o*w**2 + 0 = 0?
0, 1
Let z(y) = y**2 + 4*y - 8. Let h = -25 + 19. Let w be z(h). Let 2*p**3 - 4*p**w + 4*p**2 - 2*p**5 + 21*p - 21*p = 0. What is p?
-2, -1, 0, 1
Factor 5*i**3 + 45*i - 20*i - 30*i.
5*i*(i - 1)*(i + 1)
Suppose -2*y + 0*y + 24 = 0. Let u be -8*((-3)/y + 0). Let 2*l - 2*l**u - 1 - 4*l**2 + 5*l**2 = 0. Calculate l.
1
Factor 3/4*t**2 + 183/2 - 189/4*t.
3*(t - 61)*(t - 2)/4
Factor 3/4*w**2 + 0 + 459/4*w.
3*w*(w + 153)/4
Let p(w) be the first derivative of 10*w**4 + 110*w**3/3 - 35*w**2/2 - 15*w + 6. Factor p(t).
5*(t + 3)*(2*t - 1)*(4*t + 1)
Let t(u) be the second derivative of 5/42*u**7 + 0*u**6 - 8*u + 0*u**3 + 0*u**2 - 1/4*u**5 + 0*u**4 + 0. Let t(o) = 0. What is o?
-1, 0, 1
Let n(p) = p**2 + 7*p - 2. Let k be n(-7). Let l be k*((-6)/(-16))/(12/(-8)). Let 1/2*i**4 + 1/2*i**3 + 0 - 1/2*i**2 - l*i = 0. What is i?
-1, 0, 1
Let s = -490/3 - -164. Factor -4/3 + s*f**2 + 2/3*f.
2*(f - 1)*(f + 2)/3
Factor 0*y + 1/3*y**3 - 17/3*y**2 + 0.
y**2*(y - 17)/3
Let p(q) be the third derivative of -q**6/90 - 13*q**5/45 - 2*q**4/3 - q**2 - 73. Determine y, given that p(y) = 0.
-12, -1, 0
Suppose 0 = 5*z - 4*v - 122, -3*v + 35 = 2*z - 0*v. Suppose z = f + 19. What is q in -9*q**3 + 9*q + f*q**4 + 6*q - 3*q = 0?
-1, 0, 2
Let b be (58 + 5)/(-7) + 2192/240. Factor b*i**2 + 0 - 2/15*i**3 + 4/5*i.
-2*i*(i - 3)*(i + 2)/15
Determine a, given that -6 + 25 - 12*a + 13 + 3*a**2 + 6*a**2 - 11*a**2 = 0.
-8, 2
Factor 9 + 135*j**2 + 16*j**3 - 4*j**3 - 42*j - 114*j**2.
3*(j - 1)*(j + 3)*(4*j - 1)
Let v be (9/(-15))/((-18)/10). Let o(q) be the first derivative of -1/4*q**4 + 0*q + 5 - v*q**3 + 0*q**2. Factor o(a).
-a**2*(a + 1)
Let r(o) be the third derivative of o**6/720 + o**5/360 - o**4/18 - o**3/3 + 68*o**2. Factor r(j).
(j - 3)*(j + 2)**2/6
Let -20/3*w - 2*w**5 - 50*w**3 + 34*w**2 + 74/3*w**4 + 0 = 0. Calculate w.
0, 1/3, 1, 10
Let f(u) be the second derivative of u**6/90 + 7*u**5/30 + 159*u. Determine y s