z - x*z**2 - 1/4*z**3.
-z**2*(z + 2)/4
Let a = 15365/61492 - -2/15373. Factor -a*i**3 + 0 - 1/4*i**2 + 1/2*i.
-i*(i - 1)*(i + 2)/4
Let s be (1/2)/(36/(-72)). Let n be (-1 - (-60)/44)*(2 + s). Suppose 0 + 2/11*l**4 - 4/11*l**3 + n*l - 2/11*l**2 = 0. What is l?
-1, 0, 1, 2
Let t(q) = 14*q**3 - 911*q**2 - 2903*q + 11. Let f(x) = -3*x**3 + 182*x**2 + 581*x - 2. Let c(z) = -11*f(z) - 2*t(z). Factor c(g).
5*g*(g - 39)*(g + 3)
Let v(x) be the third derivative of -x**7/420 + 11*x**6/120 + 2*x**5/5 + 10*x**2. Suppose v(s) = 0. What is s?
-2, 0, 24
Let g(t) be the first derivative of t**5/45 + 169*t**4/36 + 334*t**3/27 + 5263. Suppose g(d) = 0. Calculate d.
-167, -2, 0
Determine g, given that 5006/11*g + 2/11*g**3 + 1258/11*g**2 + 3750/11 = 0.
-625, -3, -1
Let h(f) be the second derivative of -f**5/130 + 23*f**4/78 - 146*f**3/39 + 280*f**2/13 - 2675*f. Factor h(z).
-2*(z - 14)*(z - 5)*(z - 4)/13
Let s be (-9 + 4664/(-33))*-3. Suppose s*m - 60 = 436*m. Factor -8/3*z - m*z**2 + 4/3*z**4 + 0 + 0*z**3.
4*z*(z - 2)*(z + 1)**2/3
Let o(p) be the first derivative of p**4/36 + 46*p**3/9 - 31*p**2/2 + 140*p/9 + 653. Solve o(f) = 0.
-140, 1
Suppose -18*l + 14*l = -5*x + 141, 2*l = -5*x + 147. Suppose 27*a = x*a - 4. Solve 0 + 2/5*k - 1/2*k**a + 1/10*k**3 = 0 for k.
0, 1, 4
Factor 70*z**2 + 0 - 34/7*z**3 - 2/7*z**4 - 1350/7*z.
-2*z*(z - 5)**2*(z + 27)/7
Let o be 18/816*(-1748)/(-150). Let u = -3/425 + o. Factor 0*r + u*r**4 - 2*r**3 + 0 + 7/4*r**2.
r**2*(r - 7)*(r - 1)/4
Let z(y) = -9*y**2 - 144*y + 177. Let m be ((-344)/(-20))/2 - (-15)/(-25). Let j(i) = 3*i**2 + 48*i - 60. Let r(k) = m*j(k) + 3*z(k). Factor r(c).
-3*(c - 1)*(c + 17)
Let c = 1477949 + -1477947. Factor -29/2*n**c - 55/6*n - 3/2 - 3/2*n**3.
-(n + 9)*(3*n + 1)**2/6
Let k be 20*22*(-15)/(-3300). Let q(r) be the first derivative of 12/11*r**3 - 35 + 0*r**k - 3/22*r**4 + 0*r. Factor q(i).
-6*i**2*(i - 6)/11
Let j be (-9)/(-4) - 2/8. Suppose -5*w = -5*s + 12 - 2, -s + 1 = -j*w. Determine v so that v**2 - 1 + 0 + v - 2*v + 18*v**3 - 17*v**s = 0.
-1, 1
Let h(v) = v**3 - 12*v**2 - 22*v - 15. Let t(x) = -8*x**3 + 134 + 48*x + 59*x + 108*x**2 + 91*x. Let i(k) = -52*h(k) - 6*t(k). Factor i(o).
-4*(o + 1)*(o + 2)*(o + 3)
Suppose -20 + 0 = 5*r, 50 = o + r. Factor -7*l**2 - 2*l**2 - o + 5*l**2 + 18 + 24*l.
-4*(l - 3)**2
Solve 0*f - 2*f**2 - 2/13*f**3 + 288/13 = 0 for f.
-12, -4, 3
Let i(o) = -2*o**3 - 6*o**2 + 20*o + 16. Let z be i(-5). Let t be (-12)/z*(-128)/2. Factor 436/3*b**2 + t*b + 196/3*b**4 + 16/3 + 168*b**3.
4*(b + 1)**2*(7*b + 2)**2/3
Let z(f) = -2*f**2 + 18094*f + 16344334. Let w(k) = -k**2 + 18092*k + 16344332. Let a(s) = 7*w(s) - 6*z(s). Determine u so that a(u) = 0.
-1808
Let f(n) be the first derivative of -7*n**6/48 - 1047*n**5/40 - 39961*n**4/32 - 20127*n**3/8 - 629*n**2/2 + 4107*n/2 - 5309. Suppose f(d) = 0. What is d?
-74, -1, 3/7
Let p(y) be the third derivative of -y**5/30 - 19*y**4/12 - 26*y**3 + 29*y**2 + 4*y. Determine l, given that p(l) = 0.
-13, -6
Let v(n) be the first derivative of -n**4/14 - 932*n**3/21 - 465*n**2/7 - 4631. Suppose v(i) = 0. What is i?
-465, -1, 0
Let z(j) be the third derivative of -j**6/24 + 335*j**5/2 - 561125*j**4/2 + 751907500*j**3/3 + 3076*j**2. Factor z(n).
-5*(n - 670)**3
Let u = -1083 - -921. Let v be (u/(-36))/(63/18). Factor v + 12/7*h + 3/7*h**2.
3*(h + 1)*(h + 3)/7
Let d be 7 - (-7)/((-4)/26 - 517/611). Factor -2/7*m + 2/7*m**3 + 2/7*m**4 - 2/7*m**2 + d.
2*m*(m - 1)*(m + 1)**2/7
Let t(a) = 6*a**3 - 422*a**2 + 9253*a - 69842. Let j(f) = -3*f**3 + 212*f**2 - 4627*f + 34922. Let n(u) = 7*j(u) + 4*t(u). Factor n(v).
3*(v - 23)**2*(v - 22)
Let r(c) = -12*c - 130. Let p be r(-11). Let z be ((-40)/12)/(4/(-6)). Factor -p*b**3 + 7*b - b + 3*b**5 + 1 - 2*b**z + b**4 - 2*b**2 - 5*b.
(b - 1)**2*(b + 1)**3
Let r(j) = -2*j**5 - 36*j**4 + 60*j**3 - 5*j + 5. Let m(q) = q**5 + 36*q**4 - 60*q**3 + 4*q - 4. Let n(h) = 5*m(h) + 4*r(h). Factor n(c).
-3*c**3*(c - 10)*(c - 2)
Let f = -7 - -9. Suppose -5*s**2 + 3*s**2 - 39*s + f*s**2 - 3*s**2 = 0. Calculate s.
-13, 0
Let k be (-120)/75*-5 - (12 + -4). Let p(i) be the first derivative of k*i + 17 - 9/2*i**2 + i**3. Factor p(f).
3*f*(f - 3)
Let t(h) be the third derivative of -h**8/5040 - h**7/105 + h**5/60 - h**4/24 + 96*h**2. Let q(r) be the third derivative of t(r). Factor q(n).
-4*n*(n + 12)
Let u = 36439 + -36437. Let h(c) be the second derivative of -1/48*c**4 - 1/8*c**3 + 0 + 1/8*c**u + 3/80*c**5 + 45*c. Suppose h(r) = 0. Calculate r.
-1, 1/3, 1
Let r(i) be the second derivative of -i**7/231 - i**6/55 + i**5/11 - i**4/33 - 3*i**3/11 + 5*i**2/11 + 416*i + 3. Determine b so that r(b) = 0.
-5, -1, 1
Determine p so that 14*p + 147 + 1/3*p**2 = 0.
-21
Let i = 7231 + -7228. Let t(p) be the first derivative of -16/3*p**3 + i*p**4 + 0*p + 5 - 8*p**2. Factor t(f).
4*f*(f - 2)*(3*f + 2)
Let w(a) be the first derivative of -6*a**6 + 424*a**5/5 - 219*a**4 - 72*a**3 - 1985. Solve w(f) = 0.
-2/9, 0, 3, 9
Let a be (-9 + 6 + 1 + 3)*3. Factor -9 + 0 + 11 - 4*z + 4*z**a - 4*z**2 + 2.
4*(z - 1)**2*(z + 1)
Let b(k) be the first derivative of -k**5/140 + 2*k**4/7 - 32*k**3/7 - k**2 + 11*k - 57. Let r(c) be the second derivative of b(c). Let r(q) = 0. What is q?
8
Let f(m) be the first derivative of -3/5*m**5 - 6*m - 9*m**3 + 15/4*m**4 + 19 + 21/2*m**2. Suppose f(g) = 0. What is g?
1, 2
Let l(w) be the first derivative of -5*w**3/3 + 1095*w**2 + 2195*w + 2479. Solve l(j) = 0 for j.
-1, 439
Let r(g) be the third derivative of 507/10*g**5 - 73 + 2*g**2 + 0*g + 2197/2*g**4 + 39/40*g**6 + 1/140*g**7 + 0*g**3. Factor r(m).
3*m*(m + 26)**3/2
Let j(y) be the third derivative of 1/40*y**5 - 5*y**2 - 2 - 4*y**3 + 15/16*y**4 + 0*y. Factor j(h).
3*(h - 1)*(h + 16)/2
Let o(x) be the first derivative of -x**5/15 - 5*x**4/4 - 23*x**3/9 + 105*x**2/2 + 108*x - 1227. Factor o(w).
-(w - 4)*(w + 1)*(w + 9)**2/3
Let k(s) be the second derivative of -s**4/6 - 156*s**3 - 54756*s**2 + 207*s + 2. Factor k(b).
-2*(b + 234)**2
Suppose -24*z + 30 = -26*z. Let v be 36/60 - 33/z. Factor v*q**2 + 18/5 - 6*q - 2/5*q**3.
-2*(q - 3)**2*(q - 1)/5
Let l = -624238 - -624242. Find i, given that -16/11*i**2 - 2/11*i**3 - l + 62/11*i = 0.
-11, 1, 2
Let y(r) be the third derivative of 8/3*r**3 + 0*r**5 + 1/72*r**6 + 0*r - 5/24*r**4 + 8*r**2 + 0. Let z(m) be the first derivative of y(m). Solve z(p) = 0.
-1, 1
Let d(p) = -162*p - 1458. Let j be d(-9). Determine m so that -3/5*m**3 + j - 3/5*m**4 + 3/5*m + 3/5*m**2 = 0.
-1, 0, 1
Let -3/4*n**4 + 5/2*n**3 - n + 1 - 7/4*n**2 = 0. What is n?
-2/3, 1, 2
Let d = -133 + 155. Factor 76 - 108 + 0*w**4 - 9*w**3 + d*w**2 + w**4.
(w - 4)**2*(w - 2)*(w + 1)
Let m(g) be the first derivative of -2*g**5/5 - 17*g**4/2 + 254*g**3/3 - 247*g**2 + 276*g - 3764. Determine p, given that m(p) = 0.
-23, 1, 2, 3
Factor 323/2*t + 5/4*t**3 - 1083/4*t**2 + 108.
(t - 216)*(t - 1)*(5*t + 2)/4
Let r be (-57)/9 + (3/9 - 0). Let v be 299/(-39) + 2/r. Let c(u) = 15*u**2 + 45*u + 30. Let o(f) = 5*f**2 + 15*f + 10. Let y(j) = v*o(j) + 3*c(j). Factor y(i).
5*(i + 1)*(i + 2)
Let r be ((-864)/(-630) - (-24)/(-42))*(-13 - -18). Find y, given that 3/7*y**5 - 108/7*y**2 + 12*y**3 - 27/7*y**r + 0 + 48/7*y = 0.
0, 1, 2, 4
Suppose 4*r - 1 - 7 = 0. Let k = -22207 + 44417/2. Determine i, given that 0*i + 0 - k*i**4 - 24*i**r + 12*i**3 = 0.
0, 4
Let z be 72/(-36) - (1 - 23/7). Let b be -1 + (-124)/(-70) + (-1748)/115 + 15. Let -b*a + z + 2/7*a**2 = 0. Calculate a.
1
Suppose 3*o - 12 = -f, -51*f = 5*o - 48*f - 16. Determine i so that -211 + o*i**2 - 79*i + 117 + 149 + 19*i = 0.
1, 11
Let f(m) be the second derivative of 3*m**5/20 - 93*m**4/2 + 4230*m**3 + 26508*m**2 - 2026*m. Factor f(v).
3*(v - 94)**2*(v + 2)
Let g(r) be the third derivative of r**7/1800 + r**6/200 + r**5/75 + 11*r**4/6 - 7*r**2. Let p(n) be the second derivative of g(n). Factor p(x).
(x + 2)*(7*x + 4)/5
Let n(h) be the second derivative of h**6/30 + h**5/2 - 11*h**4/12 + 110*h. Factor n(b).
b**2*(b - 1)*(b + 11)
What is f in -189*f**2 + 189 + 0*f**3 + 104*f - 195*f + 3*f**3 + 88*f = 0?
-1, 1, 63
Let l = -3/55120 + -104562631/165360. Let x = 633 + l. Factor 0 - 2/3*f**2 - 2/9*f**4 - x*f**3 - 2/9*f.
-2*f*(f + 1)**3/9
Let r = 146 + -141. Let j be (r/(-3) + 2)/((-4)/(-168)). Factor 5*i**4 - j*i - 11*i**3 - 4*i**2 -