(k - 3)*(k - 1)*(k + 1)**2
Let j(f) = 12*f**3 + f**2 + f + 1. Let q(l) = -266*l**3 - 68*l**2 + 142*l + 186. Let h(g) = -44*j(g) - 2*q(g). Suppose h(b) = 0. Calculate b.
-26, -1, 4
Let l(w) be the second derivative of -3*w**5/4 - 8*w**4/3 - 19*w**3/6 - w**2 - 37*w + 18. Suppose l(b) = 0. Calculate b.
-1, -2/15
Let r be (-1235)/456*(-42)/(-70)*-1. Suppose -1/8*y**2 - 3/2 - r*y = 0. What is y?
-12, -1
Factor -s**5 + 83*s**4 + 44630 - 14850*s**2 - 1698*s**3 + 352842 + 141583 + 525987*s.
-(s - 33)**3*(s + 1)*(s + 15)
Let u(h) = -974*h**2 + 668*h - 8. Let z(t) = 2*t**2 + 2*t. Let b(n) = -u(n) + 2*z(n). What is w in b(w) = 0?
2/163, 2/3
Let w(t) = 7*t**4 - 33*t**3 + 3*t**2 + 61*t + 48. Let n(g) = 6*g**4 - 32*g**3 + 2*g**2 + 64*g + 49. Let v(o) = 6*n(o) - 5*w(o). Factor v(y).
(y - 27)*(y - 2)*(y + 1)**2
Let s be ((-1495)/(-65) - (-605)/(-25)) + (-1647)/(-60). Factor 1/4*k**3 + s*k**2 + 3675/4*k + 42875/4.
(k + 35)**3/4
Suppose -7 = 6*s - 13*s. Let w(a) = -s - 6*a - 2 - 6*a**2 + 8*a**2 + 2*a. Let q(t) = 3*t**2 - 5*t - 4. Let u(k) = -3*q(k) + 4*w(k). Solve u(m) = 0.
-1, 0
Factor 40/3 - 68/9*g + 4/9*g**2.
4*(g - 15)*(g - 2)/9
Let t(o) be the first derivative of -o**6/30 + 14*o**2 - 21. Let q(r) be the second derivative of t(r). Factor q(m).
-4*m**3
Let p(z) be the second derivative of 193*z**6/15 - 1349*z**5/10 + 2881*z**4/6 - 569*z**3 - 18*z**2 - 545*z + 7. Find v, given that p(v) = 0.
-2/193, 1, 3
Suppose c + 5 = -3*n, 6 = -c + n + 21. Let a be (-2)/(-3) + (-2)/(-15)*c. Let 2/13*f**5 + 4/13*f + 0 - 2/13*f**a - 6/13*f**3 + 2/13*f**4 = 0. Calculate f.
-2, -1, 0, 1
Let t(j) be the second derivative of -j**6/45 - 59*j**5/10 - 434*j**4/9 - 460*j**3/3 - 688*j**2/3 + 4*j - 186. Suppose t(z) = 0. Calculate z.
-172, -2, -1
Let a(c) be the first derivative of -12*c**5/7 - 62*c**4/7 + 688*c**3/21 + 48*c**2/7 + 1692. Determine z, given that a(z) = 0.
-6, -2/15, 0, 2
Let z(g) be the second derivative of 6/7*g**2 - 1 + 16*g + 5/21*g**3 - 1/42*g**4. Factor z(d).
-2*(d - 6)*(d + 1)/7
Let g(t) = -29*t**3 - 23*t**2 + 144*t + 16. Let z(l) = 86*l**3 + 70*l**2 - 433*l - 47. Let p(n) = 11*g(n) + 4*z(n). Factor p(j).
(j - 2)*(j + 3)*(25*j + 2)
Let k be 81/(-54)*((-38)/6 + (3 - -2)). Solve -11/2*g + 26/3*g**2 + 4/3 - 19/3*g**3 - 1/6*g**5 + k*g**4 = 0.
1, 8
Let y(z) = 2*z**2 - 551*z + 4541. Let b be y(267). Find i such that 0*i + 0 + 14/15*i**3 + 8/15*i**b = 0.
-4/7, 0
Let w(l) = -l**3 - 4*l**2 + 12*l + 2. Let r be w(-6). Suppose -6*j + j = 5*x + 10, -r*j - x = 0. Factor -d**3 - 4*d**3 - 2*d**2 + 7*d**2 - 2*d**j + 2*d.
-d*(d - 1)*(5*d + 2)
Suppose 106*l - 267 + 162 = 319. Factor -1/4*m**l - 15/4*m + 3/4*m**3 - 9/2 + 7/4*m**2.
-(m - 3)**2*(m + 1)*(m + 2)/4
Suppose 20 = 4*p, 4*l + 5*p + 3 = 44. Suppose -47*a + l*a + 86 = 0. Solve 2 - 1/2*g**3 + 3*g**a - 9/2*g = 0 for g.
1, 4
Let v = -1274 + 1277. Let s be v/(2/(12/150*5)). Suppose -s*u**4 + 0 - 2/5*u**3 + 2/5*u + 3/5*u**2 = 0. What is u?
-1, -2/3, 0, 1
Let l = 2108/9351 + -10/3117. Determine g so that 14/9*g - 8/3 - l*g**2 = 0.
3, 4
Let w be (-47603)/5523 - (-90)/10. Solve -2/21*h**4 - w - 8/7*h - 4/7*h**3 - 26/21*h**2 = 0.
-2, -1
What is k in 5406*k + k**2 - 2715*k - 2720*k = 0?
0, 29
Suppose 27*z + 3*z + 9*z - 78 = 0. Let g(s) be the third derivative of -128/3*s**3 + 8/3*s**4 - 4*s**z + 0 + 0*s - 1/15*s**5. Factor g(l).
-4*(l - 8)**2
Let -640/7 + 72/7*c**2 - 192/7*c + 4/7*c**3 = 0. What is c?
-20, -2, 4
Factor -21/4*i - 3/4 - 9/2*i**2.
-3*(i + 1)*(6*i + 1)/4
Let w = -354 - -354. Suppose w = -r - g - 2, 0 = 5*r - 5*g + 64 - 104. Factor -39/5*p - 3/5*p**r + 18/5 + 24/5*p**2.
-3*(p - 6)*(p - 1)**2/5
Factor 1040 + 71304705*z**3 - 71304640*z**3 + 5*z**4 - 60*z**2 - 747*z + 47*z.
5*(z - 2)**2*(z + 4)*(z + 13)
Suppose 292*m - 30 = -2*z + 295*m, z - 2*m - 19 = 0. Let k(u) be the second derivative of 5*u**z - 13*u + 0 + 5/12*u**4 + 25/2*u**2. Factor k(d).
5*(d + 1)*(d + 5)
Let i(u) = -18*u - 235. Let x be i(-17). Suppose -5*s**3 + 5*s + 15*s**2 + 55 + x - 141 = 0. What is s?
-1, 1, 3
Factor 0*i + 0 - 3/2*i**5 - 42*i**4 + 177/2*i**3 - 45*i**2.
-3*i**2*(i - 1)**2*(i + 30)/2
Let z(j) be the first derivative of j**4/12 + 134*j**3/9 + 2432*j**2/3 + 8192*j - 8121. Factor z(o).
(o + 6)*(o + 64)**2/3
Let p be (135/(-50) - -3)/(96/170). Let r = -157/416 + p. What is m in 2/13*m**4 - r*m**3 + 2/13*m + 0 - 2/13*m**2 = 0?
-1, 0, 1
Let x(g) be the first derivative of -g**4/20 - 2*g**3/3 + 16*g**2/5 + 96*g/5 - 14843. Factor x(y).
-(y - 4)*(y + 2)*(y + 12)/5
Let m(z) = -2*z**2 + 4*z + 3. Let n be m(0). Let c(b) be the first derivative of 25 + 0*b - 1/3*b**n - b**2 + 3/4*b**4. Factor c(i).
i*(i - 1)*(3*i + 2)
Find x, given that 5/3*x**2 + 196/3*x - 160/3 = 0.
-40, 4/5
Let v(w) be the second derivative of w**8/616 - 3*w**7/385 + w**6/110 - 91*w**2/2 - 172*w + 2. Let i(q) be the first derivative of v(q). Factor i(c).
6*c**3*(c - 2)*(c - 1)/11
Let p(h) be the second derivative of -1/3*h**4 + 0*h**3 + 7/30*h**5 + 0*h**2 + 54*h - 1/45*h**6 - 1. Factor p(t).
-2*t**2*(t - 6)*(t - 1)/3
Let r(m) = m**3 - m**2 - 2*m - 1. Let z(i) be the third derivative of i**6/30 - i**5/15 - 7*i**4/24 - i**3/3 + 5*i**2. Let s(a) = 3*r(a) - z(a). Factor s(w).
-(w - 1)**2*(w + 1)
Let k be 8/416*30/(-115). Let d = 1175/4186 - k. Determine b, given that 6/7*b**3 - d*b**2 + 0 + 2/7*b**4 - 2/7*b**5 - 4/7*b = 0.
-1, 0, 1, 2
Let i = 249033 + -747095/3. Factor 22/9*w + 2/9*w**3 - 4/3*w**2 - i.
2*(w - 3)*(w - 2)*(w - 1)/9
Let u(z) = -14*z**4 + 22*z**3 + 34*z**2 - 11*z. Let j(g) = -5*g**4 + 8*g**3 + 12*g**2 - 4*g. Let w(k) = -11*j(k) + 4*u(k). Factor w(d).
-d**2*(d - 2)*(d + 2)
Suppose 1 + 1 = 17*h + 2. Let v(b) be the third derivative of 1/330*b**5 + 14*b**2 + 0*b + 0*b**3 + 0 + h*b**4. Let v(p) = 0. What is p?
0
Let o(w) = w**4 - w**3 - 16*w + 82. Let g(h) = h**4 - 16*h + 83. Let d(q) = 5*g(q) - 4*o(q). Let u(l) be the first derivative of d(l). Factor u(b).
4*(b - 1)*(b + 2)**2
Let t(w) be the first derivative of -77*w**4/4 - 1026*w**3 - 15360*w**2 + 800*w + 2278. Factor t(o).
-(o + 20)**2*(77*o - 2)
Let y be (32 - 4)/(7 + -1)*3. Determine r, given that -209*r**2 - 50*r**3 - 10*r**3 - r**5 + 137*r**2 - y*r**4 = 0.
-6, -2, 0
Let a be -86*(-5 + 1) + -2. Find w, given that a - 198 - 6*w**3 + 84*w**2 - 2*w**4 - 42*w - 158*w = 0.
-9, 2
Let z(n) = 11*n + 3. Let x be z(0). Find v such that x + 5*v - 4*v - v**2 - v + 2*v = 0.
-1, 3
Let j be -11 + 68/6 - (4/(-6) - 2). Determine c so that -24/7*c + 15/7*c**j + 0 - 54/7*c**2 = 0.
-2/5, 0, 4
Let m(c) be the third derivative of c**8/756 - 212*c**7/945 + 1067*c**6/90 - 20776*c**5/135 + 19208*c**4/27 + 2*c**2 + 1329*c. Determine q so that m(q) = 0.
0, 4, 49
Let q(p) = 5*p**3 - 5*p**2. Let d be 4/10 - 27/5. Let k(s) = -961*s**2 + 1920*s**2 - 5*s**3 - 953*s**2. Let v(a) = d*k(a) - 4*q(a). Solve v(j) = 0 for j.
0, 2
Let l(j) be the third derivative of -j**5/20 + 35*j**4/4 - 132*j**3 - 3*j**2 + 6. Factor l(k).
-3*(k - 66)*(k - 4)
Let c(v) = -29*v**3 + 184*v**2 + 1099*v - 39. Let q(l) = -9*l**3 + 62*l**2 + 367*l - 12. Let r(b) = -12*c(b) + 39*q(b). Determine t, given that r(t) = 0.
-5, 0, 75
Let l(s) = -5 - 7*s + 4*s + s**3 + 6*s - 25*s**2 + 11*s**4 + 10*s. Let k(c) = 6*c**4 - 12*c**2 + 6*c - 3. Let z(m) = 5*k(m) - 3*l(m). Factor z(o).
-3*o*(o - 1)**2*(o + 3)
Let c be (16675/60)/29 - 5. Let g(o) be the second derivative of 5/2*o**3 + 5/6*o**6 + 13/4*o**5 + 0 + 0*o**2 + c*o**4 + o. Determine w, given that g(w) = 0.
-1, -3/5, 0
Factor -2/11*i**3 + 0 + 20/11*i - 6/11*i**2.
-2*i*(i - 2)*(i + 5)/11
Let n(w) be the first derivative of -w**4 - 88*w**3 + 1674*w**2 - 3080*w - 1959. Suppose n(l) = 0. Calculate l.
-77, 1, 10
Suppose -4*h - 33 = -15*g + 10*g, -5 = g + 5*h. Suppose g*s + 48 - 17 = 2*v, -s = 5. Factor -27/4 - 9/4*j**2 + 27/4*j + 1/4*j**v.
(j - 3)**3/4
Let q(f) be the third derivative of -f**5/30 - 268*f**4 - 861888*f**3 + 127*f**2. Factor q(k).
-2*(k + 1608)**2
Let r(j) = -7*j**2 - j + 4. Let n(c) = -22*c**2 + 246*c + 514. Let m(g) = n(g) - 3*r(g). Factor m(h).
-(h - 251)*(h + 2)
Let n(z) = 7*z**4 - z**3 - 2*z**2 + z - 20. Let l(p) = p**4 + p**3 - p - 4. Let s(w) = -5*l(w) + n(w). What is y in s(y) = 0?
-1, 0, 1, 3
Let 21 - 4*t**2 - 17 + 32 = 0. What is t?
-3, 3
Let w be 293/8 - (-66)/176. Suppose 0 = 65*c - 93 - w. Solve -4/11*k**c + 0*k + 0 + 2/