- 5)*(r - 2)/8
Let c(o) = o**2 - 17*o - 200. Let q be c(25). Let w(b) be the first derivative of -6*b**4 - 4*b**3 + 0*b**2 + 16 - 3*b**5 + q*b - 1/2*b**6. Factor w(x).
-3*x**2*(x + 1)*(x + 2)**2
Factor -32368 - 18/7*g**3 - 145384*g + 8564/7*g**2.
-2*(g - 238)**2*(9*g + 2)/7
Let w be (0*35/1435)/(-6). Suppose -3/4*u**4 + 0 - 1/4*u**5 + w*u**2 - 1/2*u**3 + 0*u = 0. Calculate u.
-2, -1, 0
Suppose 4*j = 2*j + 4, 0 = -2*g + 3*j - 460. Let t = -44 - g. Factor 368*o**2 + 20*o - 20 - t*o**2 - 190*o**2.
-5*(o - 2)**2
Suppose 246 = 13*c + 181. Let b(v) be the second derivative of 1/42*v**7 + 0 - 1/10*v**6 + 3/20*v**5 + 0*v**3 + 0*v**2 - c*v - 1/12*v**4. Factor b(o).
o**2*(o - 1)**3
Let t be ((3/(-4) - 0) + -1)*(-43846)/460383. Suppose t*j**2 - 11/6*j + 5/3 = 0. Calculate j.
1, 10
Factor -7*u**2 - 37*u**2 - 331 + 295 + 86*u - 6*u**3.
-2*(u - 1)*(u + 9)*(3*u - 2)
Suppose -3*b + 26 = -2*s, 2*b + 249*s - 14 = 250*s. Determine x so that 9/10 - 1/10*x**3 - 3/10*x - 1/2*x**b = 0.
-3, 1
Let t = 143/210 - 3/14. Let r(d) be the second derivative of 0 - 10/3*d**4 + 7*d + 0*d**2 - 1/21*d**7 - 9/5*d**5 - t*d**6 - 8/3*d**3. Factor r(z).
-2*z*(z + 1)*(z + 2)**3
Let y(f) = -5*f**2 + 460*f - 4845. Let p(u) = 3*u**2 - 228*u + 2422. Let g = -13 - -11. Let j(v) = g*y(v) - 5*p(v). Factor j(x).
-5*(x - 22)**2
Let 412*c**2 - 4*c**3 - 18486 + 2008 + 96002 - 12220*c = 0. What is c?
9, 47
Let p be 1/(195/(-100) - -2). Let d = p - 18. Factor 3*q + 10*q**d + 7*q**2 - 13*q**2 + q.
4*q*(q + 1)
Let r(t) be the second derivative of -t**4/3 - 164*t**3/3 - 770*t**2 - 5*t + 498. Factor r(h).
-4*(h + 5)*(h + 77)
Let c(i) = -i**2 + 10*i - 3. Let v be c(9). Determine x, given that 5*x**4 + 0*x**2 + 5 - v*x**2 - 4*x**2 + 0*x**4 = 0.
-1, 1
Solve -87/4*r**2 + 22 - 1/4*r**4 - 89/4*r + 89/4*r**3 = 0.
-1, 1, 88
Suppose -574*k = -5*c - 568*k + 106, 5*c + 2*k = -22. Factor 64/11*w**c - 10/11*w**5 + 4/11 - 76/11*w**3 + 4*w**4 - 26/11*w.
-2*(w - 1)**4*(5*w - 2)/11
Determine a, given that 476/3*a**2 + 0 + 320/3*a - 1/6*a**5 + 37/3*a**4 + 78*a**3 = 0.
-2, 0, 80
Let y(f) be the first derivative of -128*f + 28*f**2 + 128 + 4/3*f**3. Solve y(m) = 0.
-16, 2
Let u(q) be the third derivative of q**5/540 - 29*q**4/54 + 38*q**3/9 - 6*q**2 - 135*q. Factor u(a).
(a - 114)*(a - 2)/9
Let k(z) be the first derivative of 0*z**2 + 0*z**4 - 240 - 3/35*z**5 + 0*z - 1/42*z**6 + 0*z**3. Determine r so that k(r) = 0.
-3, 0
Let k(a) be the first derivative of 3/2*a**2 - 2 - 6*a + a**3. Suppose k(c) = 0. Calculate c.
-2, 1
Let n = 10342 - 62047/6. Suppose 0 + 0*w + 55/6*w**2 + 25/3*w**3 - n*w**4 = 0. What is w?
-1, 0, 11
Let r(v) = v**3 - 8*v**2 + 5*v + 16. Let f be r(7). Let i be (f/2)/((-5)/(-22 - -7)). Factor -2*a**2 - 2*a**4 + 0*a**2 + a**3 - 5*a**i + 0*a**2.
-2*a**2*(a + 1)**2
Let w be (-51 - 39999/(-536))/(10/4*(-1)/(-10)). Determine l, given that w*l**2 + 12 - 75*l = 0.
2/9, 4/7
Let x(c) be the second derivative of c**5/70 + 139*c**4/21 + 1100*c**3/21 + 1096*c**2/7 + 7*c - 209. Factor x(k).
2*(k + 2)**2*(k + 274)/7
Factor -27/4*i**3 - 1/4*i**4 + 99*i - 5/2*i**2 - 130.
-(i - 2)**2*(i + 5)*(i + 26)/4
Let y be ((22/(26 - 24))/(1/2))/(11 + -4). Factor -6/7*n**2 - y*n - 12/7.
-2*(n + 3)*(3*n + 2)/7
Let m(a) be the first derivative of a**7/4200 - 7*a**6/1800 + 223*a**3/3 - 110. Let o(g) be the third derivative of m(g). Let o(j) = 0. What is j?
0, 7
Let g = 95 - 68. Let t = g + -20. Solve 82*u**2 - 2*u**2 + t*u + 6*u**5 + 32 - 22*u**4 - 103*u = 0 for u.
-2, 2/3, 1, 2
Let h(f) = -46*f**3 + 30*f**2 + 58*f + 24. Let o(q) = -9*q**3 - 2*q**2 + 2. Let k(j) = -h(j) + 6*o(j). Solve k(w) = 0.
-3, -2, -1/4
Let z = -80706 + 80708. Find p such that 0 + 2/7*p**z + 0*p = 0.
0
Suppose -u**3 - 224 - 26*u + 512 + 28*u**2 - 238 + 0*u**3 - 51*u = 0. What is u?
1, 2, 25
Let -15*z**2 - 21*z**2 + 74*z**2 + 10752*z + 14450688 - 23*z**2 - 13*z**2 = 0. Calculate z.
-2688
Let b be (9 - (-473)/(-22) - -6)*(-18)/39. What is f in 12/7*f**4 + 3/7*f**5 - 9/7*f + 6/7*f**b - 12/7*f**2 + 0 = 0?
-3, -1, 0, 1
Let l = 30751/30 + -1025. Let u(n) be the first derivative of 1/9*n**3 + 14 + 0*n**2 - l*n**5 + 0*n**4 - 1/6*n. Factor u(h).
-(h - 1)**2*(h + 1)**2/6
Suppose -3*z - 32 = 7*z + 6*z. Let w(m) = 7*m**2 - 2*m**2 + 20 - 23*m + 0*m**2. Let i(u) = -5*u**2 + 22*u - 20. Let l(s) = z*i(s) - 3*w(s). Factor l(c).
-5*(c - 4)*(c - 1)
Let s(c) = c**2. Let k(n) = n**4 - 5*n**3 + 6*n**2 - 4*n. Let j be (2/(-10)*-6)/(255/850). Let w(i) = j*s(i) + 2*k(i). Find p such that w(p) = 0.
0, 1, 2
Let z(j) be the third derivative of -j**6/600 - 931*j**5/300 - 7767*j**2. Let z(w) = 0. Calculate w.
-931, 0
Let l(j) be the first derivative of -18/13*j - 1/26*j**4 + 1/13*j**2 + 193 + 6/13*j**3. Factor l(m).
-2*(m - 9)*(m - 1)*(m + 1)/13
Let g = -11/7408 + 164368781/51856. Factor g + 3/7*b**2 + 516/7*b.
3*(b + 86)**2/7
Let j(u) be the third derivative of -41*u**2 + 1/42*u**7 - u - 5/6*u**3 + 5/12*u**4 + 0*u**5 - 1/12*u**6 + 0. Let j(r) = 0. What is r?
-1, 1
Suppose 88*b = 71 + 369. Let y(c) be the third derivative of 5*c**2 - 2/255*c**b + 5/51*c**4 - 25/51*c**3 + 0*c + 0. Determine l, given that y(l) = 0.
5/2
Let -3198330*d**2 + 768*d**4 + 42*d**4 + 3216*d**3 + 3201538*d**2 + 2*d**5 = 0. Calculate d.
-401, -2, 0
Suppose k + 4*k - 35 = r, 143*r - 141*r = -10. Let -9 + k*n + 23/4*n**2 - 1/4*n**5 + 9/4*n**4 - 27/4*n**3 = 0. What is n?
-1, 2, 3
Let u(c) be the third derivative of c**6/60 + 11*c**5/30 - 31*c**4/4 + 51*c**3 + 22*c**2 + 24*c. Factor u(w).
2*(w - 3)**2*(w + 17)
Let p = 128440 - 128437. Factor -7/6*t**2 - 2/3*t**p - 1/2 + 7/3*t.
-(t - 1)*(t + 3)*(4*t - 1)/6
What is v in 0 + 3/7*v - 50/7*v**2 = 0?
0, 3/50
Solve 137/3*l + 140/3*l**2 + 34/3 + 4/3*l**3 = 0 for l.
-34, -1/2
Suppose 0 = 5080*k - 5052*k. Factor 0*m**2 + k - 3/8*m**3 + 27/8*m.
-3*m*(m - 3)*(m + 3)/8
Let i(v) be the second derivative of -v**4/24 + 19*v**3/12 + 5*v**2 + 1156*v. Factor i(m).
-(m - 20)*(m + 1)/2
Let j = 155648/5 + -1101466/35. Let y = 341 + j. Find k such that -1/7*k - y*k**2 + 1/7 + 1/7*k**3 = 0.
-1, 1
Suppose 8442/5*t**2 + 7918596/5*t + 2475881016/5 + 3/5*t**3 = 0. What is t?
-938
Let s(x) be the second derivative of -1/14*x**7 - 1/2*x**3 + 3*x + 2/5*x**6 + 0*x**2 - 9/10*x**5 - 1 + x**4. What is l in s(l) = 0?
0, 1
Let x(u) be the second derivative of u**4/15 + 2788*u**3/15 + 971618*u**2/5 - 78*u. Factor x(l).
4*(l + 697)**2/5
Let v = 382378 - 764755/2. Determine n, given that v*n**4 - 2*n**2 + 0*n + 0*n**3 + 0 = 0.
-2, 0, 2
Let i(y) = -y**3 + 21*y**2 - 19*y + 25. Let o be i(20). Factor -o*c - 3*c**2 + 32*c + 37*c - 21.
-3*(c - 7)*(c - 1)
Let c(l) be the second derivative of 11/12*l**3 + 33 - 5/2*l**2 - 1/24*l**4 + l. Factor c(v).
-(v - 10)*(v - 1)/2
Let -9 - 2*v**5 - 2*v**5 - 760*v**3 - 33*v + 383*v**3 + 7*v**5 + 359*v**3 + 3*v**4 - 42*v**2 = 0. Calculate v.
-1, 3
Factor -105*j**2 - 102*j**3 + 37899 + 3*j**4 - 37899.
3*j**2*(j - 35)*(j + 1)
Suppose -o - 16 = 2*r - 26, 8 = 2*o. Let t(z) be the third derivative of -1/240*z**6 + 0 - 1/40*z**5 - 1/16*z**4 - 1/12*z**r - z**2 + 0*z. Factor t(f).
-(f + 1)**3/2
Let z(c) = -c**3 - 5*c**2 + 4*c - 9. Let o be z(-6). Let a be (o - 39/15)/(3/15). Find s, given that 3*s**2 - a - 1 + 3 = 0.
0
Let k(v) be the first derivative of -v**6/90 + 13*v**5/45 + v**4/18 - 26*v**3/9 + 17*v**2/2 + 100. Let m(p) be the second derivative of k(p). Factor m(i).
-4*(i - 13)*(i - 1)*(i + 1)/3
Suppose 1640481*z = 1640474*z + 14. Suppose -12/7 - 10/7*u + 2/7*u**z = 0. What is u?
-1, 6
Let k(d) = d**4 + d**3 + 2*d**2 + 3*d. Let q(l) = 28*l**4 - 77*l**3 - 194*l**2 + 24*l. Let y(z) = -8*k(z) + q(z). Factor y(f).
5*f**2*(f - 6)*(4*f + 7)
Suppose 0 - 13/2*y**4 - 243/2*y**2 - 1/4*y**5 - 49*y**3 - 315/4*y = 0. Calculate y.
-15, -7, -3, -1, 0
Suppose -3*t + 20 = -2*r + 3*r, -8*r - t = -22. Suppose 1/2*j**r - 5*j + 6 + 1/4*j**3 = 0. Calculate j.
-6, 2
Suppose -3 = 3*c - 15. Let l be 24/(-28)*(-2)/(-2)*-7. Find t such that -c + l*t**2 + 4 - 11*t**2 = 0.
0
Factor 276/5*c - 168/5*c**2 + 6/5*c**4 + 12/5*c**3 - 126/5.
6*(c - 3)*(c - 1)**2*(c + 7)/5
Factor 1/7*n**3 + 0 + 25/7*n**2 + 24/7*n.
n*(n + 1)*(n + 24)/7
Let g = -983 - -1033. Suppose -5*c + g = 35. Find a, given that 1/4*a**c + 0 - 1/4*a + 0*a**2 = 0.
-1, 0, 1
Let t be (-18)/360*-5 - (-7)/4. Let p(d) be the first derivative of 4/3*d**3 + 2*d