2)*(2*t - 1)/5
Factor -43/4*i - 45/2 - 1/4*i**3 + 23/2*i**2.
-(i - 45)*(i - 2)*(i + 1)/4
Suppose 23*i + 174 = 220. Factor 2/9*q**i - 4/9*q + 2/9*q**3 + 0.
2*q*(q - 1)*(q + 2)/9
Suppose -6*x + 333 = 31*x. Let l be ((x/(-4))/3)/((-132)/528). Determine n, given that -3/4 + 3/4*n**2 + 3/4*n**l - 3/4*n = 0.
-1, 1
Let j(w) be the first derivative of -2*w**3/15 - 56*w**2/5 + 114*w/5 - 1299. Factor j(f).
-2*(f - 1)*(f + 57)/5
Let r(n) = -2*n**5 - 192*n**4 - 1540*n**3 - 6198*n**2 - 10956*n - 7236. Let b(c) = -6*c**4 + 4*c**3 - c**2 + c. Let o(j) = -6*b(j) + r(j). Factor o(s).
-2*(s + 2)*(s + 3)**3*(s + 67)
Factor 670*c**2 + 2/3*c**3 + 75190750/3 + 224450*c.
2*(c + 335)**3/3
Let g be 4/(-3) - 5963/(-4020). Let p(b) be the second derivative of -1/15*b**6 + 0 - 8*b + 1/2*b**2 + 1/12*b**4 + g*b**5 - 1/2*b**3. Factor p(q).
-(q - 1)**2*(q + 1)*(2*q - 1)
Let o(x) = x**2 + 7*x + 3. Let h be o(0). Factor -10*w**h + 17*w**4 - 9*w**3 + w**4 + 4*w**3 - 3*w**5.
-3*w**3*(w - 5)*(w - 1)
Let k = -28 + 32. Let x(t) = 4*t**2 - 83*t**3 + 2*t**5 + 16*t**4 + 6*t**5 - 4*t + 87*t**3. Let r(y) = y**4 + y**2 - y. Let j(b) = k*r(b) - x(b). Factor j(g).
-4*g**3*(g + 1)*(2*g + 1)
Let d = 961/12 + -929/12. Let v(k) be the first derivative of k**6 + 0*k**2 + 2/5*k**5 + 10 - 4*k**4 + 0*k + d*k**3. Find l such that v(l) = 0.
-2, 0, 2/3, 1
Suppose -18*y = -2*o - 17*y + 7, 4*o - 7 = -5*y. Factor 120*m - 318*m**3 + 35*m**4 - 326*m**3 + 340*m**2 + 374*m**o.
5*m*(m - 6)*(m - 2)*(7*m + 2)
Let y(q) = q**3 - 25*q**2 - 19*q - 179. Let u be y(26). Let s(j) be the first derivative of -20/3*j**u + 26 + 5/4*j**4 + 25/2*j**2 - 10*j. Factor s(f).
5*(f - 2)*(f - 1)**2
Let l = -29174 + 29176. Solve -20/3 - 2*n + 2/3*n**l = 0.
-2, 5
Find o, given that -1442/3*o**2 - 1204/3*o + 132*o**3 - 64 = 0.
-1/2, -2/9, 48/11
Let i(c) = c**4 - 22*c**3 - 320*c**2 - 1130*c - 1213. Let v(g) = -3*g**4 + 90*g**3 + 1278*g**2 + 4518*g + 4851. Let y(w) = 9*i(w) + 2*v(w). Factor y(q).
3*(q - 15)*(q + 3)**3
Let w(r) be the second derivative of 11*r**5/4 - 125*r**4/4 - 35*r**3/3 + 11*r + 52. Factor w(z).
5*z*(z - 7)*(11*z + 2)
Let f = 10407 + -52034/5. Suppose -f*q**3 + 0*q**2 - 2/5 + 3/5*q = 0. Calculate q.
-2, 1
Let g(r) = 0*r**3 - r**3 - 35 + 2*r**3 + 17*r**2 + 71 + 2*r. Let u be g(-17). Find a, given that 0 - 3/4*a**3 + 1/4*a**4 - 5/4*a**u - 1/2*a + 1/4*a**5 = 0.
-1, 0, 2
Let c(v) = -3*v**3 - 10*v**2 + 3*v - 14. Let x be c(-4). Let h(l) be the first derivative of -l**2 - x + 2/9*l**3 + 0*l. Factor h(b).
2*b*(b - 3)/3
Let u be 3/(-2)*((-119995)/10485 + (-2)/36). Solve -7/4 - 165/4*r**2 - u*r + 25/4*r**3 = 0.
-1/5, 7
Factor 27 + 102 + 9 - 138 - 100*x - 5*x**2.
-5*x*(x + 20)
Let w = -67/11 + 379/55. Let 1/5*o + 4/5 - 1/5*o**3 - w*o**2 = 0. Calculate o.
-4, -1, 1
Let p(j) = -j**2 + 17*j - 24. Let t be 0 + 3 + -1 + 11. Let o be p(t). Factor 180*a + o*a**2 - 75 - 126*a**2 - 40*a**2 - 3*a**4 + 36*a**3.
-3*(a - 5)**2*(a - 1)**2
Let d(y) be the second derivative of y**7/84 - y**6/20 - 7*y**5/5 - 11*y**4/2 - 20*y**3/3 + 139*y + 3. Let d(j) = 0. Calculate j.
-4, -2, -1, 0, 10
Factor 96*s**4 - 855*s**3 - 4*s**2 - 4*s**5 + 379*s**3 + 0*s**4 + 4*s**2.
-4*s**3*(s - 17)*(s - 7)
Suppose 4753*j - 4732*j = 0. Let -2/7*i**4 + 0*i + 8/7*i**3 + j - 6/7*i**2 = 0. Calculate i.
0, 1, 3
Suppose -21*o + 39 = -3. Find n such that 8 + 2*n + n**2 + 13*n + 4*n**o + 2 = 0.
-2, -1
Let b(h) be the third derivative of -h**8/84 + 8*h**7/105 + 91*h**6/30 + 22*h**5/3 - 100*h**4 + 3037*h**2. Find x such that b(x) = 0.
-5, 0, 2, 12
Let b(l) be the third derivative of 285*l**2 - 2*l**4 + 3/10*l**5 + 0 + 16/3*l**3 + 0*l. Let b(w) = 0. What is w?
4/3
Let h be (-10)/(-25) + 8/5. Let w(k) = k + 2*k - 5*k - 2*k - 4*k**h. Let b(g) = -20*g**2 - 20*g. Let q(j) = -3*b(j) + 16*w(j). Suppose q(f) = 0. What is f?
-1, 0
Let o(y) be the first derivative of -y**3/3 - 3*y**2 - 12. Let v be o(-6). Factor v*r + 0*r**4 + 0*r + r**2 - r**4 + r - r**3.
-r*(r - 1)*(r + 1)**2
Let y(b) be the second derivative of 171475*b**6/6 + 463885*b**5/12 + 42465*b**4/2 + 6102*b**3 + 972*b**2 - 5*b - 70. Let y(a) = 0. Calculate a.
-1/3, -18/95
Let v(i) = i**2 - 40*i + 2. Let k be v(40). Factor -218*h - 3*h**k + 38*h + 5*h**2 + 2*h**2.
4*h*(h - 45)
Let v be 4/(-20) + -4 + 204/48 + 184/160. Let -96/5 - v*m**4 - 32/5*m + 16/5*m**3 + 48/5*m**2 - 2/5*m**5 = 0. Calculate m.
-3, -2, 2
Let j = -126 - 34. Let p be (2/(-45)*-3)/((-96)/j). Solve -1/9*m**4 + 0 + 0*m - 1/9*m**2 + p*m**3 = 0.
0, 1
Let u(h) be the third derivative of h**6/180 + 2*h**5/9 - 23*h**4/12 + 875*h**2. Let u(n) = 0. What is n?
-23, 0, 3
Let x be ((-9)/21)/(19/(-133)). Factor -9*p**x + 1 + 76*p - 30*p**2 - 49 + 6*p**3 + 5*p**3.
2*(p - 12)*(p - 2)*(p - 1)
Let y = -2/185 - -929/370. Let c be (-12 - (-11 + (-8 + 8 - -5)))/(-2). Factor 0 - q - 7/2*q**2 - y*q**c.
-q*(q + 1)*(5*q + 2)/2
Let x = 15 - 11. Suppose -4*d - 4*s + 24 = 0, 15*d + 2*s = 14*d + 8. Let 1928*a - 1928*a + d*a**2 - 3*a**x - a**4 = 0. Calculate a.
-1, 0, 1
Factor 0 + 2/15*s**3 + 56/5*s + 10/3*s**2.
2*s*(s + 4)*(s + 21)/15
Let m(n) be the first derivative of 4/27*n**3 + 0*n + 0*n**2 + 141 - 1/18*n**4 + 1/27*n**6 - 4/45*n**5. Let m(j) = 0. What is j?
-1, 0, 1, 2
Let d(u) be the second derivative of -u**6/10 + 3*u**5/20 + 69*u**4/2 + 292*u**3 + 672*u**2 - 6262*u. Determine s so that d(s) = 0.
-8, -4, -1, 14
Let p be -12 - (-834 + 8) - -6. Suppose 816*q = p*q - 8. Factor -2/5*j**q - 338/5 + 52/5*j.
-2*(j - 13)**2/5
Let g(l) be the first derivative of -11/12*l**3 + 2 - 3/2*l**2 + 3*l - 1/8*l**4. Let t(b) be the first derivative of g(b). Solve t(j) = 0 for j.
-3, -2/3
Let p(q) be the third derivative of q**6/780 - 59*q**5/390 + 14*q**4/39 + 116*q**3/39 - 2782*q**2. Factor p(o).
2*(o - 58)*(o - 2)*(o + 1)/13
Let q(m) be the second derivative of m**6/225 - 14*m**5/75 - 8*m**4/15 + 704*m**3/9 + 2560*m**2/3 + 2786*m. What is n in q(n) = 0?
-8, -4, 20
Let x be 6/((-280)/28 + (-28)/(-3)) + 144/12. Let 0*l - 4/9*l**x + 0 - 4/9*l**2 = 0. What is l?
-1, 0
Let z(i) be the third derivative of -77*i**2 + 0*i - 1/735*i**7 + 1/70*i**5 - 1/210*i**6 + 0 + 2/21*i**4 + 4/21*i**3. Let z(p) = 0. What is p?
-2, -1, 2
Let n(p) be the first derivative of p**4/4 + 26*p**3 + 1881*p**2/2 + 13068*p + 1869. Factor n(f).
(f + 12)*(f + 33)**2
Suppose 876/7*p**2 + 312/7*p + 666/7*p**3 + 24/7*p**5 - 144/7 + 30*p**4 = 0. What is p?
-3, -2, 1/4
Let j = -447 + 453. Suppose -4*x = 5*q + j, 0 = 15*q - 13*q - 2*x - 12. Suppose 16/3*d**q + 0 + 4/3*d**3 + 4*d = 0. Calculate d.
-3, -1, 0
Let l(o) be the first derivative of o**4/2 + 26*o**3/3 - 16*o**2 - 416*o + 1371. Let l(b) = 0. Calculate b.
-13, -4, 4
Let x(z) = 4*z**4 + 55*z**3 - 120*z**2 - 40*z + 4. Let g(q) = 10*q**4 + 104*q**3 - 239*q**2 - 81*q + 9. Let v(u) = -4*g(u) + 9*x(u). Factor v(l).
-l*(l - 18)*(l - 2)*(4*l + 1)
Solve -1/4*c**3 + 15/4*c**2 + 27/2*c + 0 = 0 for c.
-3, 0, 18
Let z(j) = 8*j**3 - 8*j**2 - 7*j + 17. Let d(l) = -26 + 7*l**3 + 17 - 24 + 11*l - 22*l**3 + 15*l**2 + 4*l. Let h(f) = -5*d(f) - 9*z(f). Factor h(k).
3*(k - 2)*(k - 1)*(k + 2)
Let h(r) be the second derivative of -9*r**5/140 + 11*r**4/7 + 94*r**3/21 + 32*r**2/7 - 3254*r. Find t, given that h(t) = 0.
-2/3, 16
Let l(j) be the third derivative of 0 - 4/15*j**4 + 0*j - 1/900*j**6 - 14*j**2 - 2/75*j**5 + 7/2*j**3. Let t(k) be the first derivative of l(k). Factor t(g).
-2*(g + 4)**2/5
Suppose 0 = -275*v + 276*v - 317. Suppose -v*w = -313*w. Solve -10/9*m**3 - 8/9*m + w - 16/9*m**2 - 2/9*m**4 = 0 for m.
-2, -1, 0
Let q be 0 + -2 + 24 + -18. Suppose 167*j**3 - 600 + 16*j**4 + 1281*j**2 + 5*j**q - 455*j**3 - 203*j - 1507*j = 0. What is j?
-2/7, 4, 5
Let l(q) be the first derivative of -6/5*q**3 - 81 - 3/20*q**4 + 0*q - 27/10*q**2. Solve l(b) = 0.
-3, 0
Let z = -1988 - -1993. Let r be (-1503)/(-835) - (-11)/z. Find o such that -1/2*o**r + 1/2*o + 0 + 1/2*o**2 - 1/2*o**3 = 0.
-1, 0, 1
What is b in 0 + 0*b - 56/3*b**3 - 32/9*b**2 + 16/3*b**4 + 22/9*b**5 = 0?
-4, -2/11, 0, 2
Let f(v) = 12*v**3 + 74*v**2 + 125*v - 5. Let n(d) = -34*d**3 - 220*d**2 - 374*d + 14. Let z(u) = 14*f(u) + 5*n(u). Find x such that z(x) = 0.
-30, -2, 0
Determine g so that 7*g**3 + 149 + 247*g - 41*g**2 - 3*g**3 - 894*g - 143*g + 51 = 0.
-10, 1/4, 20
Let q(i) be the second derivative of -i**6/90 - i**5/4 + i**4/2 + 16*i**3