3*w**4 + 0*w. Factor k(n).
-(n - 1)**2*(n + 2)*(n + 8)**2
Let d be (-8)/(-6)*2/12. Let q = 54085 - 54082. Solve 4/9 + 2/9*r**4 - 2/9*r - 2/3*r**2 + d*r**q = 0.
-2, -1, 1
Let y be 8/36 - 144/(-81). Factor 2*o**4 + 31*o**y - 61*o**2 + 8*o**3 + 30*o**2.
2*o**3*(o + 4)
Suppose -15*v + 24080 = -43*v. Let z = -857 - v. Suppose -3/2*l**4 + 3/2*l**2 + 3*l + 0 - z*l**3 = 0. Calculate l.
-2, -1, 0, 1
Let l(k) = 3*k**4 - 48*k**3 - 17*k**2 + 134*k + 100. Let q(h) = 11*h**4 - 191*h**3 - 69*h**2 + 533*h + 400. Let i(v) = -9*l(v) + 2*q(v). Factor i(u).
-5*(u - 10)*(u - 2)*(u + 1)**2
What is u in 56*u**2 + 340*u**4 + 278*u**3 + 0 + 0*u - 25/2*u**5 = 0?
-2/5, 0, 28
Let g be -25*(-1 + 19/114 + 2/6). Let r(w) be the first derivative of 35 + 0*w - 20/3*w**3 + 5/4*w**4 - g*w**2. Solve r(n) = 0.
-1, 0, 5
Let k(r) be the second derivative of 0 - 1/30*r**5 + 32*r + 0*r**3 - 1/36*r**4 - 1/90*r**6 + 0*r**2. Factor k(u).
-u**2*(u + 1)**2/3
Factor -192 - 13*v + 220*v**2 + 89*v - 224*v**2.
-4*(v - 16)*(v - 3)
Let j be ((-1)/(-6))/(25/15). Let g(l) be the second derivative of -1/10*l**2 - 2/15*l**3 - 1/25*l**5 + 6*l - j*l**4 - 1/150*l**6 + 0. Factor g(p).
-(p + 1)**4/5
Suppose -5*d - 5*q + 400 = 0, -5*q = -4*d - 7*q + 312. Let r be (-34)/(-42) + d/(-6) + 12. What is u in 0*u + r*u**4 + 0 + 0*u**2 + 0*u**3 = 0?
0
Factor -1/3*h**3 - 3 + 5/3*h**2 - h.
-(h - 3)**2*(h + 1)/3
Let g(x) be the third derivative of 0*x**3 + 0*x**5 + 0*x + 88*x**2 + 0 + 1/30*x**6 - 2/105*x**7 + 0*x**4. Factor g(h).
-4*h**3*(h - 1)
Let i(r) be the first derivative of 53/12*r**3 + 3*r**2 + 6/5*r**5 + 53/16*r**4 + r - 31 + 1/6*r**6. Let i(y) = 0. What is y?
-2, -1, -1/2
Suppose -199*p - 83*p = -11*p - 542. Let c = 2/201 + 1403/402. Solve 3*q + c - 1/2*q**p = 0 for q.
-1, 7
Factor -1764*x + 42*x**2 + 0 + 3/2*x**4 + 33*x**3.
3*x*(x - 6)*(x + 14)**2/2
Let t(b) be the second derivative of b**4/3 + 1498*b**3 - 4496*b**2 + 12900*b. Factor t(o).
4*(o - 1)*(o + 2248)
Let c(a) be the second derivative of 2*a**6/105 - a**5/5 + 8*a**4/21 + 32*a**3/21 + 176*a. Let c(o) = 0. Calculate o.
-1, 0, 4
Let y(c) = -7*c**3 - 160*c**2 + 329*c - 174. Let w(x) = -55*x**3 - 1279*x**2 + 2630*x - 1389. Let h(q) = -4*w(q) + 31*y(q). Solve h(k) = 0.
-54, 1
Solve -928*f**3 + 44*f**4 + 1016*f**3 + 6*f**5 - 64*f + 22*f**2 - 6*f**2 = 0.
-4, -2, 0, 2/3
Let w = 354 + -345. Suppose -8*y - w*y = -34. Factor 0 + 0*k + 1/4*k**y.
k**2/4
Let 9/2 + 1/4*o**2 - 11/4*o = 0. What is o?
2, 9
Let t(a) = 4*a + 89. Let v be t(-21). Let k(h) be the first derivative of -1/15*h**6 + 2/3*h**3 - 2/25*h**v + 13 + 2/5*h**2 + 3/10*h**4 + 0*h. Factor k(w).
-2*w*(w - 2)*(w + 1)**3/5
Let b(z) be the third derivative of -13/8*z**4 - 89*z**2 + 3*z**3 + 0*z - 2/5*z**5 + 0. Suppose b(f) = 0. What is f?
-2, 3/8
Let k = 99414 - 99414. Determine c so that -3/8*c**4 + k - 9/4*c - 39/8*c**2 - 3*c**3 = 0.
-6, -1, 0
Let v be (-580)/(-174) - 20/(-12)*(-3)/15. Let o(x) be the first derivative of -2/33*x**3 - 10/11*x - 6/11*x**2 - v. Solve o(g) = 0.
-5, -1
Let x(w) be the first derivative of -7*w**3 + 6*w**2 - 3*w + 122. Let d(r) = 25*r**2 - 13*r + 2. Let n(y) = 6*d(y) + 7*x(y). Solve n(m) = 0 for m.
-3, 1
Let t(n) = 8*n + 3*n**4 - 12*n**3 + 2*n**4 - 19*n**3 + 0*n + 8*n**2. Let f(m) = -3*m**4 + 15*m**3 - 4*m**2 - 4*m. Let r(a) = 5*f(a) + 2*t(a). Factor r(z).
-z*(z - 2)*(z - 1)*(5*z + 2)
Let r(a) = -640*a**3 - 835*a**2 + 2935*a. Let c(m) = -59*m**3 - 76*m**2 + 267*m. Let f(g) = 65*c(g) - 6*r(g). Solve f(s) = 0 for s.
-17, 0, 3
Find m, given that -28/15*m + 2/15*m**3 + 16/5 - 2/15*m**2 = 0.
-4, 2, 3
Let t(x) be the second derivative of 3*x**5/140 + 2*x**4/7 + 5*x**3/14 - 75*x**2/7 - 642*x. Factor t(y).
3*(y - 2)*(y + 5)**2/7
Suppose -30*h = -26*h - 34776. Suppose -7*d - h + 2*d**2 + d + 8698 = 0. What is d?
1, 2
Let l(p) = -43*p - 127. Let u be l(-3). Let k(j) be the second derivative of -7/2*j**3 - j + 0 - 3*j**u - 3/4*j**5 - 1/10*j**6 - 9/4*j**4. Factor k(b).
-3*(b + 1)**3*(b + 2)
Let n(x) be the second derivative of -7*x**3 - 24/5*x**2 + 9/20*x**4 + 5*x + 6. What is s in n(s) = 0?
-2/9, 8
Let k(q) be the first derivative of -56*q**5/75 + 11*q**4/6 + 10*q**3/9 - 8*q**2/3 - 8*q/5 - 689. Solve k(p) = 0.
-3/4, -2/7, 1, 2
Solve -5/3*u - 2 + 8/3*u**2 - 2/3*u**4 - 1/3*u**5 + 2*u**3 = 0.
-3, -1, 1, 2
Find a such that 893993 - 7655*a + 279617 + 607*a + 2*a**2 + 5035678 = 0.
1762
Factor 33*o - 64 - 1/2*o**2.
-(o - 64)*(o - 2)/2
Let o(a) be the third derivative of -34/225*a**5 + 0 + 0*a + 0*a**3 + 1/7*a**7 + 1/30*a**6 + 2/45*a**4 - 148*a**2. Suppose o(l) = 0. What is l?
-2/3, 0, 2/15, 2/5
Find p, given that 4466217*p**4 + 7*p - 7*p + 120*p**2 - 27*p**3 + 3*p**5 - 144 - 4466229*p**4 - 12*p = 0.
-3, -1, 2, 4
Let c(k) be the third derivative of -3/80*k**5 + 0*k**3 + 1/160*k**6 + 0*k - 1/448*k**8 - 5 + 3/280*k**7 + 0*k**4 - 25*k**2. What is z in c(z) = 0?
-1, 0, 1, 3
Let n be (-11137)/(-111) + (-2)/6. Suppose -80 + n*b - 40*b**2 + 0*b**3 - b**3 + 2*b**3 + b**3 + 3*b**3 = 0. What is b?
2, 4
Let l(v) = -2*v**5 - 48*v**4 - 84*v**3 - 42*v**2 + 18*v - 4. Let w(a) = -3*a**5 + a**4 + a**2 - a + 2. Let u(t) = -l(t) - 2*w(t). Factor u(c).
2*c*(c + 2)**3*(4*c - 1)
Suppose 0 = -17*o + 80 - 12. Let z be o/2*154/110. Let 22/5*i**4 + z*i**2 + 8*i**3 + 0 - 4/5*i = 0. Calculate i.
-1, 0, 2/11
Let j(k) be the second derivative of k**8/1344 - k**7/630 + 43*k**4/12 - 5*k + 3. Let w(n) be the third derivative of j(n). Factor w(z).
z**2*(5*z - 4)
Suppose 0 = -4*t - 10 + 26. Suppose 14 = 4*h - 2*r, 0 = t*h + 3*r + r + 4. Factor 97 - 97 - 3*l**3 - 7*l**h - 2*l.
-l*(l + 2)*(3*l + 1)
Let t(c) be the second derivative of -c**5/30 - 25*c**4/18 + 6*c**3 - 8*c + 42. Factor t(z).
-2*z*(z - 2)*(z + 27)/3
Let v be (-5 + 8 + 27/(-12))*-4*-1. Let o(h) be the first derivative of 17 + 0*h - 2/3*h**v + 1/2*h**2 + 1/4*h**4. Factor o(x).
x*(x - 1)**2
Let r(y) be the second derivative of -y**3 + 1/18*y**4 + 14/3*y**2 - y + 16. Factor r(m).
2*(m - 7)*(m - 2)/3
Let o(w) be the first derivative of w**3 - 90*w**2 - 1407*w + 3902. Suppose o(t) = 0. What is t?
-7, 67
Let j(z) be the third derivative of z**7/90 + 17*z**6/72 + 119*z**5/60 + 67*z**4/8 + 18*z**3 + 5*z**2 + 56. Solve j(i) = 0.
-36/7, -3, -1
Factor -83*r**4 + 95*r**4 + 92*r**2 + 84*r**3 - 16*r**4 - 88 - 84*r.
-4*(r - 22)*(r - 1)*(r + 1)**2
Let q(n) = -n**2 - 504*n - 17274. Let d be q(-467). Factor 0 - d*t - 14/3*t**2 + 1/3*t**3.
t*(t - 15)*(t + 1)/3
Let h = 2/9077 + 217822/118001. Factor 0 + h*l - 2/13*l**2.
-2*l*(l - 12)/13
Let p(r) = -r**2 + 17*r + 12. Let b be p(18). Let o = -3 - b. Factor 2*q**5 - 3*q - 5*q**4 + 13*q - 15*q**o + 5*q**2 + 6*q**5 - 3*q**5.
5*q*(q - 2)*(q - 1)*(q + 1)**2
Let j = -14 + 8. Let u be (j/(-1))/(48/32). Determine m, given that -2*m**2 + m**3 + m**5 + 0*m**4 + u*m**3 - 4*m**4 = 0.
0, 1, 2
Suppose 2*k + 157 - 181 = 0. Suppose -5*v = k*v + 5*v. Suppose 6/13*d**4 + 2/13*d**3 + 0 + v*d + 0*d**2 + 4/13*d**5 = 0. Calculate d.
-1, -1/2, 0
Let o(u) be the second derivative of u**5/35 - 2*u**4/3 + 16*u**3/21 + 640*u**2/7 - 3*u + 192. Factor o(k).
4*(k - 10)*(k - 8)*(k + 4)/7
Factor 0 + 1/9*d**3 - 146/9*d - 145/9*d**2.
d*(d - 146)*(d + 1)/9
Let q(t) = 12*t**4 - 52*t**3 - 33*t**2 + 29*t + 22. Let d(c) = c**4 - 3*c**3 - c**2 - c + 2. Let i(w) = 22*d(w) - 2*q(w). Suppose i(j) = 0. Calculate j.
-2, 0, 1, 20
Let n be (-3 + -1 + 7)*-1. Let k(l) = -13*l - 15. Let i be k(n). Factor -27*s**3 - 84*s - 90*s**2 - i - 42*s**2 + 42*s**2.
-3*(s + 2)*(3*s + 2)**2
Let m(j) be the second derivative of 0*j**2 - 1/108*j**4 + 0 + 9*j - 1/540*j**5 + 7/3*j**3 + 1/810*j**6. Let q(u) be the second derivative of m(u). Factor q(z).
2*(z - 1)*(2*z + 1)/9
What is c in -56*c**2 - 32 - 200*c - 247*c**3 + 245*c**3 - 160 = 0?
-24, -2
Suppose 12*a + 20 = 16*a. Factor 15*v**3 - 15*v**2 + 41*v**2 - 5*v**4 - v**2 + 10*v - 5*v**a.
-5*v*(v - 2)*(v + 1)**3
Let h(g) be the third derivative of -g**6/120 + 46*g**5/15 + 185*g**4/24 - 917*g**2. Factor h(d).
-d*(d - 185)*(d + 1)
Factor -50784 + 184*c - 1/6*c**2.
-(c - 552)**2/6
Solve 0 - 47/2*d**2 - 86*d - 1/2*d**3 = 0 for d.
-43, -4, 0
Determine i, given that -3*i**2 + 103*i + 45*i + 118*i + 192 - 214*i - i**2 = 0.
-3, 16
Let s(i) be the first derivative of -i**3/6 + 14*i**2 - 615*i/2 + 6597. Factor s(z).
-(z - 41)*(z - 15)/2
Factor 0 - 2/9*y**2 