 - 25*k**2 - n + 3*k**3 = 0.
-12, -1
Suppose 8 = 2*j + 2*y - 6*y, 0 = -4*y - 16. Let o be (20/8 + j)*-2. Factor -4*s**4 - 5/4*s + 9/4*s**5 - s**o + 9/2*s**2 - 1/2.
(s - 1)**3*(s + 1)*(9*s + 2)/4
Let h(l) = l**3 + 6*l**2 + 7*l + 15. Let z be h(-5). Factor 40*y + 2 + 2*y**2 - 10*y + 22 + z - 1.
2*(y + 1)*(y + 14)
Let j = 116301/50 + -2326. Let z(t) be the third derivative of 1/150*t**6 - 1/525*t**7 + 0*t + 14*t**2 + 0*t**4 + 0 + j*t**5 + 0*t**3. Factor z(l).
-2*l**2*(l - 3)*(l + 1)/5
Suppose 34*g - 30*g - 12 = 0. Find v, given that 62*v**2 + 2*v**g - 13 + 130 + 224*v + 99 = 0.
-27, -2
Suppose -12*t - 2*t = -98. Let q be (t - -3 - 12)*-4. Factor q - 2/3*o**2 + 8/3*o.
-2*(o - 6)*(o + 2)/3
Let o(m) = -5*m**2 - 51*m - 73. Let p(t) = -t**2 + t - 3. Let f(x) = o(x) + p(x). Let f(z) = 0. What is z?
-19/3, -2
Let b(p) = 10434*p - 20865. Let y be b(2). Find q such that 1/3*q**y + 5/3*q**2 + 0 + 2*q = 0.
-3, -2, 0
What is u in -4/9*u**2 - 68/3*u - 2576/9 = 0?
-28, -23
Let z(t) be the first derivative of t**5/20 - 5*t**4/12 + t**3/3 + 4*t**2 + 13*t + 122. Let o(g) be the first derivative of z(g). Factor o(r).
(r - 4)*(r - 2)*(r + 1)
Let c(b) = b**3 + 2*b**2 - b - 1. Let h = -154 + 153. Let p(s) = 1081*s**3 - 1315*s**2 + 242*s - 10. Let w(v) = h*p(v) - 2*c(v). Factor w(d).
-3*(d - 1)*(19*d - 2)**2
Let l = 231058/7 + -33008. Factor -l*w**3 - 10*w - 50/7 - 22/7*w**2.
-2*(w + 1)*(w + 5)**2/7
Let f(s) be the second derivative of -1 - 19*s + 25/102*s**4 - 169/17*s**2 + 1/170*s**5 + 143/51*s**3. Determine h so that f(h) = 0.
-13, 1
Let w be (-594)/99 + (1/(-92))/(15/(-8300)). Let q(t) be the second derivative of 0 + 0*t**2 + 1/230*t**5 + 15*t - w*t**4 + 0*t**3. Factor q(j).
2*j**2*(j - 2)/23
Factor 1/2*y**4 - 5/2*y**3 - 23/2*y - 4 - 21/2*y**2.
(y - 8)*(y + 1)**3/2
Let q(r) = r**3 + 7*r**2 + 5*r + 50. Let j be q(-7). Let h(l) = l + 4. Let p(z) = -3*z**2 - 369*z - 10503. Let u(a) = j*h(a) + p(a). Factor u(c).
-3*(c + 59)**2
Let p(v) be the third derivative of 2/3*v**4 - 66*v**2 - 3/5*v**5 + 0*v**3 + 1/5*v**6 + 0*v + 0 - 2/105*v**7. Factor p(o).
-4*o*(o - 4)*(o - 1)**2
Suppose 3*z + 4 = 4*p, -z - 2*z - 5*p + 32 = 0. Suppose -h = -2*h - 4*s + 4, -h = -s - z. Find f, given that 2 - 7*f + h*f**2 + 2 - 2*f + f = 0.
1
Let d(r) be the first derivative of 51 + 20/3*r**3 + 0*r**2 + 15/4*r**4 + 0*r - r**5. Factor d(c).
-5*c**2*(c - 4)*(c + 1)
Let z(k) be the first derivative of 5*k**7/84 - 5*k**6/12 + k**5 - 5*k**4/6 - 59*k - 34. Let y(s) be the first derivative of z(s). Let y(w) = 0. What is w?
0, 1, 2
Let r = 1278 + -1276. Solve 2/7*j**r + 242/7 + 44/7*j = 0 for j.
-11
Let x(c) be the second derivative of 5*c**4/12 - 25*c**3/2 + 90*c**2 - 4877*c. Find o, given that x(o) = 0.
3, 12
Suppose 0 = -98*s + 69*s + 145. Let d(b) be the third derivative of -5/12*b**s + 4*b**2 + 1/42*b**7 + 0*b + 1/6*b**6 + 0*b**3 + 0 + 0*b**4. Factor d(z).
5*z**2*(z - 1)*(z + 5)
Let j(g) be the third derivative of g**8/5040 - 2*g**7/315 - 11*g**5/30 + 20*g**2 - 1. Let s(h) be the third derivative of j(h). Factor s(d).
4*d*(d - 8)
Let o = 2/138537 - -415607/277074. What is w in -w**2 - 11/4*w - o + 1/4*w**3 = 0?
-1, 6
Factor -20*a**5 + 6*a**3 + 83*a**5 + a**3 - 65*a**5 - 2*a**4 - 3*a**3.
-2*a**3*(a - 1)*(a + 2)
Let l = 82727 - 413601/5. Factor -l*b - 2/5*b**2 + 36/5.
-2*(b - 1)*(b + 18)/5
Suppose -10 = 2*u - 4*u. Solve 70*y**3 + 600*y**3 - 150*y**2 + 7*y - 288*y**u + 8 - 39*y - 208*y**4 = 0.
-2, -2/9, 1/4, 1
Let p(a) be the first derivative of 70 + 2/21*a**3 - 10/7*a + 4/7*a**2. Factor p(n).
2*(n - 1)*(n + 5)/7
Let -5*q**4 - 13*q**3 - 4*q - 1/3*q**5 + 0 - 37/3*q**2 = 0. Calculate q.
-12, -1, 0
Suppose 94*b - 95*b + 3*h = -8, -2*h = 4. Let o(p) = p**3 + 4*p**2 - 6*p - 3. Let u be o(-5). Suppose 9*l**u + 2*l**b + 15*l - 6*l**2 + 0*l = 0. Calculate l.
-3, 0
Factor -1/5*h**2 + 0 - 118*h.
-h*(h + 590)/5
Let l(r) be the third derivative of r**4/24 + r**3/6 - 11*r**2 - r. Let u = 1 - 4. Let p(d) = 4*d**3 - 24*d**2 - 3*d - 3. Let j(k) = u*l(k) - p(k). Factor j(h).
-4*h**2*(h - 6)
Let k(h) = -h**3 + 9*h**2 + 5. Let o be k(9). What is c in 5*c**2 + 25*c - 40*c**2 - 25 + o*c**3 + 0*c**3 + 30*c = 0?
1, 5
Suppose -50 = -3*o + 4*t, -2*t - 50 = -11*o + 7*o. Let a be 1 + (o/8 - 29/116). Factor 20/7*m + 8/7 + 12/7*m**a.
4*(m + 1)*(3*m + 2)/7
Let j(k) = -4*k**2 + 1. Let q(u) = -228*u**2 - 184*u - 904. Let w(f) = 56*j(f) - q(f). Factor w(m).
4*(m + 6)*(m + 40)
Let n(u) = 5*u**3 + 125*u**2 - 269*u - 389. Let c(f) = 2*f**3 + 41*f**2 - 90*f - 129. Let h(x) = 8*c(x) - 3*n(x). What is q in h(q) = 0?
-1, 3, 45
Let g be (68/30)/((-100113)/(-206115)). Factor -1/3*k**3 - g*k + 32/3 - 17/3*k**2.
-(k - 1)*(k + 2)*(k + 16)/3
Let x(n) be the first derivative of -n**6/21 + 202*n**5/35 - 495*n**4/2 + 28314*n**3/7 - 71874*n**2/7 - 4591. Factor x(p).
-2*p*(p - 33)**3*(p - 2)/7
Let l be ((-5556)/48615)/((-2)/35). Solve 9/2 - 15/4*p - 3/4*p**l = 0.
-6, 1
Solve 5175/7*o + 14283/7 + 141/7*o**2 + 1/7*o**3 = 0.
-69, -3
Let r = -106 - -103. Let v be (-1 - (r + 0)) + -2 + 2. Let -5 - 2*t**v - 10*t**2 - 9 + 28*t + 6 = 0. Calculate t.
1/3, 2
Let l be ((-3)/4)/((-27)/1206) - (-40)/16. Let t(f) be the first derivative of 6*f**2 - l*f - 1/3*f**3 - 3. Find j, given that t(j) = 0.
6
Let u = -1392 + 1416. Let f be (-5 + (0 - -3))*(-6)/u. Factor -1/6*l**2 - f + 2/3*l.
-(l - 3)*(l - 1)/6
Let c(i) be the first derivative of i**5 + 0*i - 320/3*i**3 + 170*i**2 + 65/4*i**4 + 281. Factor c(j).
5*j*(j - 2)**2*(j + 17)
Factor 177 - 66 - 85 + 18*m + 2*m**2 - 98.
2*(m - 3)*(m + 12)
Determine l so that 10/9*l + 26/9*l**2 - 4/9 - 28/9*l**5 - 22/9*l**3 - 62/9*l**4 = 0.
-1, 2/7, 1/2
Let g(v) be the third derivative of -2/45*v**5 - 1/36*v**4 - 1/504*v**8 + 16*v + 0 + 2/9*v**3 - 4*v**2 + 1/90*v**6 + 2/315*v**7. Solve g(h) = 0.
-1, 1, 2
Let h(o) = -20*o + 900. Let j be h(45). Let t(v) be the third derivative of 0*v + 0*v**3 + 16*v**2 - 1/200*v**6 + 0*v**4 + 3/100*v**5 + j. Factor t(n).
-3*n**2*(n - 3)/5
Let 54 - 1/2*n**3 - 54*n**2 + 1/2*n = 0. Calculate n.
-108, -1, 1
Determine h, given that 26136*h - 924*h**2 + 49/6*h**3 + 0 = 0.
0, 396/7
Let g = -5/153613 + 1228959/1689743. Find k, given that 17/11*k**4 - 4/11*k**5 + 1/11 - 28/11*k**3 + 2*k**2 - g*k = 0.
1/4, 1
Let f(a) be the first derivative of 42/5*a**5 - 2*a**3 - 2*a**2 + 0*a - 4 + 10/3*a**6 + 5*a**4. Determine n, given that f(n) = 0.
-1, -1/2, 0, 2/5
Factor 14 + 9*j**5 - 15*j**2 + 12*j**4 - 10*j**5 - 44*j**3 + 114*j**2 - 18*j**2 - 51*j - 11*j**2.
-(j - 7)*(j - 2)*(j - 1)**3
Factor 3598 + 5*m**2 - 1515 - 3*m**2 - m**2 + 782*m - 1302.
(m + 1)*(m + 781)
Let g(q) be the second derivative of q**7/14 - 2*q**6/5 - 3*q**5/5 + 4*q**4 + 2794*q. Factor g(s).
3*s**2*(s - 4)*(s - 2)*(s + 2)
Let o(w) be the third derivative of 3/92*w**4 + 1/690*w**5 + 0 - 51*w**2 + 0*w - 10/69*w**3. Determine p so that o(p) = 0.
-10, 1
Let y(l) = -26*l**2 - 3944*l - 1973. Let p(v) = 12*v**2 + 1972*v + 986. Let d(s) = 5*p(s) + 2*y(s). Factor d(b).
4*(b + 246)*(2*b + 1)
Let v(z) be the first derivative of z**4/28 - 139*z**3/21 + 272*z**2/7 - 540*z/7 - 1000. Let v(m) = 0. Calculate m.
2, 135
Find j such that -j**5 - 56 + 2662*j + 31*j**3 + 2491*j + 83*j**2 - 27*j**4 - 5183*j = 0.
-28, -1, 1, 2
Let h(x) = 13*x**2 - 127*x - 92. Let z(s) = 62*s**2 - 634*s - 472. Let b(r) = -14*h(r) + 3*z(r). Factor b(u).
4*(u - 32)*(u + 1)
Let q(a) = 3*a**2 + 38*a - 7. Let h(x) be the second derivative of x**4/12 + 13*x**3/6 - x**2 - x - 4. Let f(g) = 21*h(g) - 6*q(g). Factor f(k).
3*k*(k + 15)
Find q, given that -1773*q + 957*q**3 + 127989 - 2*q**2 + q**5 - 128875 + 815*q**3 + 0*q**2 + 888*q**4 = 0.
-886, -1, 1
Suppose 4*r - 9*r + 3*u + 20 = 0, -u - 20 = -5*r. Suppose -d**2 + d**3 + r*d**3 + 116*d - 116*d = 0. Calculate d.
0, 1/5
Let q(l) be the third derivative of -l**6/24 + 199*l**5/60 + 407*l**4/40 + 123*l**3/10 - 1417*l**2 + 2. Factor q(p).
-(p - 41)*(5*p + 3)**2/5
Factor 0 + 51*a**2 - 3/2*a**3 - 96*a.
-3*a*(a - 32)*(a - 2)/2
Suppose 135*n**2 - 818*n - 849*n + 10*n**3 + 52*n - 526 - 314 = 0. What is n?
-21, -1/2, 8
Factor -26/3*m**4 - 726*m - 2750/3*m**2 + 554/3*m**3 + 0.
-2*m*(m - 11)**2*(13*m + 9)/3
Let k = -260 + 261. Find j, given that -447*j + 445*j + 1 - k + j**2 - 3 = 0.
-1, 3
Factor 1755675/4 + 3/4*k**2 - 2295/2*k.
3*(k - 765)**2/4
Suppose 175 = 