r 3*v**5 + 0*v - 2*v**2 + a*v**3 - 36*v + 18*v**4 - 10*v**3 + 8*v**2 - b.
3*(v - 1)*(v + 1)*(v + 2)**3
Suppose 53 = 5*i + c - 273, -5*i + 318 = 3*c. What is b in 8 - i*b**2 + 147*b**2 - 69*b**2 - 28*b = 0?
1/3, 2
Let c(o) be the second derivative of -o + 5/6*o**7 - 17/4*o**5 + 33 + 8/3*o**6 - 155/6*o**4 - 20*o**2 - 110/3*o**3. What is f in c(f) = 0?
-2, -1, -2/7, 2
Let x(n) be the first derivative of -2*n**5/15 + 241*n**4/15 + 174*n**3/5 + 20*n**2/3 - 392*n/15 + 1363. Determine z so that x(z) = 0.
-1, 2/5, 98
What is z in -2*z**3 - 169165*z + 942*z**2 + 1211*z**2 - 553237*z + 251*z**2 = 0?
0, 601
Let a(k) = k**3 + 18*k**2 - 144*k + 7. Let y be a(6). Factor -9*d**3 - 10 + 50 + y + 132*d**2 + 17 + 288*d + 25*d**3.
4*(d + 4)**2*(4*d + 1)
Let p(d) be the first derivative of d**4 + 15*d**3 + 42 - 48*d**3 + 17*d**3. Let p(g) = 0. Calculate g.
0, 12
Suppose 217*b - 203*b - 2506 = 0. Let k = -536/3 + b. Factor 3 - k*q**3 - 5*q + 7/3*q**2.
-(q - 3)**2*(q - 1)/3
Factor 2/13*f**2 + 170528/13 + 1168/13*f.
2*(f + 292)**2/13
Let o(b) be the second derivative of -170*b - 1/6*b**4 + 0 - 4*b**3 + 0*b**2. What is t in o(t) = 0?
-12, 0
Find j, given that -27075 + 1/4*j**3 + 377/4*j**2 + 8740*j = 0.
-190, 3
What is l in -15*l - 3/4*l**5 + 0 - 93/4*l**2 + 21/4*l**4 - 9/4*l**3 = 0?
-1, 0, 4, 5
Suppose -161*k + 105*k = 118*k - 522. Solve -5/2 + 60*u**5 - 225/4*u**k - 85*u**2 + 110*u**4 - 105/4*u = 0 for u.
-2, -1/3, -1/4, 1
Let s be 11 + 4 - (6424/(-140) - 32/(-112)). Factor s*w - 3*w**2 - 12.
-3*(w - 20)*(5*w - 1)/5
Let o(t) be the first derivative of -2*t**3/9 + 4292*t**2/3 - 9210632*t/3 - 389. Let o(d) = 0. What is d?
2146
Let q = -206 + 236. Factor q*k**4 - 11*k**4 + 52*k**3 - 11*k**4 + 9*k + 41*k - 145*k**2 - 13*k**4.
-k*(k - 5)**2*(5*k - 2)
Let -1/5*v**2 + 656/5*v + 0 = 0. What is v?
0, 656
Let x(q) be the first derivative of 0*q - 22 + 4/3*q**3 - 3*q**2 + 1/2*q**4. Factor x(r).
2*r*(r - 1)*(r + 3)
Factor 0*t + 213/2*t**4 + 0 + 438*t**2 + 435*t**3 - 3/4*t**5.
-3*t**2*(t - 146)*(t + 2)**2/4
Let o be (-48)/(-21) + (-230 + 232)*(-1)/7. Factor 8/3*a**3 + 2/15*a**4 + 0 + 24/5*a**o + 0*a.
2*a**2*(a + 2)*(a + 18)/15
Suppose -295*d - 26*d**3 + 313 - 93 - 119*d**2 - 133*d**2 + 332*d**2 + 21*d**3 = 0. Calculate d.
1, 4, 11
Determine y so that -14/5*y**3 + 0 + 2/15*y**4 - 6*y**2 - 46/15*y = 0.
-1, 0, 23
Let w(m) = -7*m**4 - 17*m**3 - 53*m**2 - 27*m - 12. Let g(u) = 13*u**4 + 35*u**3 + 104*u**2 + 54*u + 21. Let j(a) = 4*g(a) + 7*w(a). Solve j(k) = 0 for k.
-3, -1, 0
Factor 311*y**2 - 159*y**2 - 60*y + 16*y + 350*y - 154*y**2.
-2*y*(y - 153)
Suppose -144 = -h - 144. Suppose 0 = -h*q - 3*q + 39. Find y such that 32*y**2 - 33*y**2 - 24*y + q - 66 - 91 = 0.
-12
Suppose 3*n - 5*m = -19, 57 - 49 - 33 = -5*m. Factor 4/3*v + 7 - 1/3*v**n.
-(v - 7)*(v + 3)/3
Let z(j) be the second derivative of -3*j**5/20 + 67*j**4/4 - 32*j**3 - 198*j**2 + 1583*j. Let z(r) = 0. Calculate r.
-1, 2, 66
Let s = -193 - -227. Suppose 7*w - 24*w + s = 0. Factor 15/2 + 3/2*f**w - 9*f.
3*(f - 5)*(f - 1)/2
Let q(a) be the second derivative of -8*a - 1/7*a**7 - 7 + 100/3*a**3 - 26/15*a**6 + 0*a**2 - 31/10*a**5 + 70/3*a**4. Solve q(f) = 0 for f.
-5, -2/3, 0, 2
Let s(m) be the third derivative of m**7/945 + 23*m**6/540 - 4*m**5/45 - 1117*m**2. Find n, given that s(n) = 0.
-24, 0, 1
Solve -116*i**4 - 13276*i**2 + 80*i**4 + 1899*i - 1786*i**3 - 9511*i - 1200 + 538*i**3 - 2484*i**3 = 0.
-100, -3, -1/3
Let c(j) be the second derivative of -5*j**2 + 125/6*j**3 - 115/12*j**4 + 62*j + 0. Factor c(k).
-5*(k - 1)*(23*k - 2)
Let u(j) = 68*j**3 + 80*j**2 + 1236*j + 1152. Let f(w) = -2*w**3 - w**2 - w. Let g(n) = 36*f(n) + u(n). Factor g(y).
-4*(y - 24)*(y + 1)*(y + 12)
Factor -7*j + 53/2*j**2 + 0.
j*(53*j - 14)/2
Let b be ((-3)/(-2))/((-9)/(-18)). Suppose -b*k + 9 = -15. Factor 5*i**4 - 3*i**4 - k*i**2 - 8*i**3 + 4*i**2 - 6*i**4.
-4*i**2*(i + 1)**2
Let o = 108 - 113. Let y be -5*2*(-3)/((-5)/o). Determine l, given that 589*l**2 - 40*l - 70 - 593*l**2 - y = 0.
-5
Let g(o) be the first derivative of -2*o**3/3 + 231*o**2 - 460*o + 4111. Find w such that g(w) = 0.
1, 230
Let f(x) be the third derivative of x**6/30 + x**5/3 + x**4/3 - 16*x**3/3 + 1862*x**2. Factor f(j).
4*(j - 1)*(j + 2)*(j + 4)
Let l be ((-7)/((-252)/(-15)))/(1*(-8 - -3)). Let x(y) be the third derivative of -1/30*y**5 + 2*y**3 + 0*y + l*y**4 - 29*y**2 + 0. Let x(v) = 0. What is v?
-2, 3
Let d(s) be the first derivative of -2*s**3/21 - 127*s**2/7 + 228*s - 5298. Factor d(c).
-2*(c - 6)*(c + 133)/7
Solve 250*w**2 + 4*w**3 + 236*w**2 + 24*w**2 + 952 - 2224*w + 34*w**2 + 1288 = 0 for w.
-140, 2
Let o = -5 - -9. Let h be (-9)/18 + (-2 - 13/(-2)). Factor -1 + h + c**2 - o + 0.
(c - 1)*(c + 1)
Suppose -4*k + 32*w - 36*w + 2272 = 0, -k - 4*w + 571 = 0. Suppose 8 - 243*i**4 + k*i**3 + 450*i**2 + 316/3*i = 0. What is i?
-2/9, 3
Determine f so that 48/5*f**3 + 0*f + 216/5*f**2 + 3/5*f**4 - 1296/5 = 0.
-6, 2
Let w(u) = -5*u**4 + 67*u**3 + 152*u**2 - 130*u - 7. Let s(m) = 3*m**4 - 45*m**3 - 104*m**2 + 86*m + 5. Let o(j) = 7*s(j) + 5*w(j). Let o(t) = 0. What is t?
-2, 0, 1, 6
Let v(p) be the third derivative of 3 - 5/6*p**3 - 1/60*p**5 + 1/4*p**4 + 0*p - 7*p**2. Factor v(f).
-(f - 5)*(f - 1)
Factor 26*n - 2/11*n**2 - 284/11.
-2*(n - 142)*(n - 1)/11
Let t(s) be the third derivative of -s**7/630 + s**6/24 + 73*s**5/180 + 19*s**4/24 + 30*s**2 - s + 19. Solve t(m) = 0.
-3, -1, 0, 19
Let s(g) be the second derivative of -g**5/110 + 35*g**4/66 + 98*g**3/11 - 144*g. Solve s(b) = 0 for b.
-7, 0, 42
Let r(z) = -26*z**2 + 15*z**2 - 3*z + z + 34 - 4*z**2 + z**3. Let o be r(15). Factor -2*k**2 + 0*k**2 - 4*k + o*k**3 + 4 - 2*k**2.
4*(k - 1)**2*(k + 1)
Suppose -2*z + 2*g = -3*g - 2, 0 = -4*z + 2*g + 20. Suppose 5*o = -5*u + 30, u + 4*u - o = z. Factor -1 + 5 + 4*m - 4*m - 4*m**u.
-4*(m - 1)*(m + 1)
Let k(i) be the second derivative of -i**5/90 + 5*i**4/18 + 8*i**3/3 + 76*i**2/9 - 9*i + 22. Factor k(l).
-2*(l - 19)*(l + 2)**2/9
Suppose 0 = g + 8, -1867*g = -2*o - 1869*g - 12. Factor 217/6*a**3 - 4 + 94/3*a - 215/3*a**o + 49/6*a**4.
(a - 1)*(a + 6)*(7*a - 2)**2/6
Let r(z) = -6*z**2 - 6812*z - 5814054. Let d(n) = 11*n**2 + 13626*n + 11628107. Let v(c) = 4*d(c) + 7*r(c). Factor v(g).
2*(g + 1705)**2
Let d(x) = -8*x**3 + 3794*x**2 - 7619*x + 3822. Let i(w) = -12*w**3 + 5692*w**2 - 11428*w + 5732. Let n(p) = 16*d(p) - 11*i(p). Factor n(v).
4*(v - 475)*(v - 1)**2
Suppose -o + 4*o - 15 = 0. Solve 18 - 3*z**o - 24*z**2 + 18*z**3 - 15*z - 3*z**4 + 0*z**5 + 9*z**4 = 0 for z.
-2, -1, 1, 3
Let z(k) = -8*k**2 + 11502*k - 11438. Let m(u) = 10*u**2 - 11501*u + 11407. Let q(l) = 2*m(l) + 3*z(l). Factor q(f).
-4*(f - 2875)*(f - 1)
Let g(l) be the third derivative of -2*l**2 + 5/24*l**6 + 0*l - 5/3*l**4 + 5 + 1/12*l**5 - 1/42*l**7 + 10/3*l**3 - 5/336*l**8. Determine h so that g(h) = 0.
-2, 1
Let r(d) be the first derivative of 25*d**3 + 65*d + 5/4*d**4 + 135/2*d**2 - 53. Factor r(y).
5*(y + 1)**2*(y + 13)
Let r(h) be the second derivative of -h**4/6 - 760*h**3/3 - 144400*h**2 - 1337*h. What is g in r(g) = 0?
-380
Let o = -222/17941 + 288166/89705. Factor o*u**3 + 0*u + 2/5*u**4 + 24/5*u**2 + 0.
2*u**2*(u + 2)*(u + 6)/5
Suppose -3*i - 64 = 5*i. Let j(k) = k**2 + 5*k - 22. Let b be j(i). Let 4*a**2 + a**b - a + 13*a + 8*a + 15 = 0. What is a?
-3, -1
Let g(h) be the first derivative of -9 + 4/7*h - 4*h**2 + 80/7*h**3 - 100/7*h**5 - 50/7*h**4. Factor g(f).
-4*(f + 1)*(5*f - 1)**3/7
Find s, given that 128/7*s**2 + 290322/7 - 12192/7*s = 0.
381/8
Suppose 3586*l - 3591*l + 60 = -o, 13 = l. Suppose -425/4*v**2 - 1325/4*v**3 - 45 + 210*v + 170*v**4 + 140*v**o = 0. Calculate v.
-2, -1, 2/7, 3/4
Let x(d) be the second derivative of -d**5/150 + 19*d**4/30 + 13*d**3/5 + 135*d**2 + 50*d + 2. Let a(z) be the first derivative of x(z). Solve a(n) = 0 for n.
-1, 39
Let k be (2/20*-4)/(1/(-5)). Suppose k*d = 5*f - d - 6, -d - 12 = -5*f. Determine j, given that -j**3 - j**4 + j**f - 2*j**3 + 4*j**3 = 0.
0, 2
Suppose -302 = 226*g - 1113 - 319. Let i be ((-48)/(-15))/((-2)/(-10)). Factor 4*x**g + i*x**4 - 8*x**3 - 10*x**5 - 26*x + 26*x.
-2*x**3*(x - 2)*(3*x - 2)
Let p(f) be the second derivative of -f**7/21 + f**6/6 + 19*f**5/10 - 38*f**4/3 + 26*f**3 - 45*f**2/2 + 12*f - 189. Solve p(q) = 0 for q.
-5, 1/2, 1, 3
Let r 