 + 16/5*v**3 + 2/5*v**4 - 8/5*v**5 = 0.
-1, 1/4, 1
Let z(t) be the first derivative of -3/16*t**4 + 9/20*t**5 - 3/2*t + 27/8*t**2 - 9/4*t**3 - 42. Let z(d) = 0. Calculate d.
-2, 1/3, 1
Suppose -38 = -58*l + 39*l. Suppose y + 2 = -4*d, l*y + 0 + 1 = -5*d. Factor 1/5*x**y - 1/5*x - 2/5.
(x - 2)*(x + 1)/5
Suppose 7*s = 9*s + 72. Let l = 38 + s. Factor 18*b**4 - 12*b**l - 29*b**4 - 4*b**3 - 8 + 20*b + 15*b**4.
4*(b - 1)**3*(b + 2)
Let x = -495975 - -495978. Solve 8/13*z**5 - 46/13*z**x + 12/13 + 42/13*z**4 + 38/13*z - 54/13*z**2 = 0 for z.
-6, -1, -1/4, 1
Let l(o) = o**4 - 57*o**3 + 832*o**2 - 2130*o + 1344. Let s(m) = 3*m**4 - 172*m**3 + 2495*m**2 - 6389*m + 4028. Let n(v) = 21*l(v) - 6*s(v). Factor n(r).
3*(r - 26)**2*(r - 2)*(r - 1)
Let y(o) = o**3 - 50*o**2 + 582*o - 1214. Let g be y(37). Factor 2436*i - 345/4*i**2 + 3/4*i**3 + g.
3*(i - 58)**2*(i + 1)/4
Let y(a) = 3*a**2 - 55733*a + 77673508. Let h(z) = -2*z**2 + 27867*z - 38836767. Let w(s) = -7*h(s) - 3*y(s). Determine m, given that w(m) = 0.
2787
Let q(c) be the third derivative of c**10/181440 + c**9/3240 - 7*c**4/3 + 39*c**2. Let u(r) be the second derivative of q(r). Factor u(g).
g**4*(g + 28)/6
Let v = 962 + -962. Let r(p) be the first derivative of v*p**2 + 0*p - 1/14*p**4 + 0*p**3 - 2/35*p**5 - 25. Determine m so that r(m) = 0.
-1, 0
Let u(n) be the third derivative of n**6/180 - n**5 + 176*n**4/3 - 3872*n**3/9 + 9*n**2 - 5*n. Factor u(l).
2*(l - 44)**2*(l - 2)/3
Suppose 12*t = -135 + 171. Suppose 189*c**2 + 324*c**4 + 460*c**t + 874*c**3 + 3 - 1739*c**3 - 39*c = 0. Calculate c.
1/4, 1/3
Let l be 7 + (-14704)/1680 - 144/(-63). Factor -8/15*d - 2/15*d**5 + 4/15*d**4 + 0 - l*d**2 + 2/5*d**3.
-2*d*(d - 2)**2*(d + 1)**2/15
Let i = 3041869/13 - 233989. Factor -2/13*o**3 + i + 10/13*o - 4/13*o**2.
-2*(o - 2)*(o + 1)*(o + 3)/13
Let s(o) = -o + 6. Let k be s(-5). Suppose 402 = k*t + 94. Let -2*h**2 + 8 - 4*h - t*h - h**2 - 15*h**2 = 0. Calculate h.
-2, 2/9
Factor 46*v**2 + 32/3*v - 1/3*v**4 + 17/3*v**3 - 736/3.
-(v - 23)*(v - 2)*(v + 4)**2/3
Let n = -2228 + 2232. Let v(q) be the second derivative of -1/40*q**5 + 0 + 0*q**n + 1/4*q**3 + q + 1/2*q**2. Factor v(w).
-(w - 2)*(w + 1)**2/2
Let m(f) = f**4 + f**3 + f**2 + f - 4. Let a(g) = 4*g**4 - 19*g**3 - 168*g**2 - 269*g - 76. Let u(n) = -4*a(n) + 4*m(n). Solve u(k) = 0.
-3, -2, -1/3, 12
Let r(t) be the third derivative of 7*t**5/12 - 15*t**4/8 + 5*t**3/3 - 101*t**2 + 3. Let r(f) = 0. Calculate f.
2/7, 1
Suppose -3657*m**2 + 1830*m**2 - 207 - 204*m + 1830*m**2 = 0. Calculate m.
-1, 69
Let x(f) be the third derivative of -7/360*f**6 - 1/90*f**5 + 0*f - 1 + 0*f**4 + 0*f**3 - f**2. Factor x(s).
-s**2*(7*s + 2)/3
Suppose 4*y + 4*h = 12, 0 = -37*y + 31*y + 2*h + 18. Suppose t = -i - 2, 8 = -2*t - 2*i - 2*i. Suppose 0 - 3/2*v**y - 3*v**2 + t*v = 0. What is v?
-2, 0
Let g be (-8)/((-384)/(-60))*-4. Let r(a) be the second derivative of -g*a + 2/11*a**3 + 0 + 1/22*a**4 - 9/11*a**2. Factor r(q).
6*(q - 1)*(q + 3)/11
Let o(s) be the first derivative of 0*s**2 + 5 + 11*s + 1/8*s**4 + 0*s**3. Let d(g) be the first derivative of o(g). Solve d(f) = 0 for f.
0
Let d(s) be the second derivative of s**7/2520 - s**6/360 - s**5/90 - s**3/6 - 2*s**2 - 3*s + 12. Let m(o) be the second derivative of d(o). Factor m(v).
v*(v - 4)*(v + 1)/3
Let n be 2*5*(5 + -9 + -4). Let d be 1 - 4*52/n. Factor 54/5 + 54/5*w + 2/5*w**3 + d*w**2.
2*(w + 3)**3/5
Let g(u) = -6*u**5 - 44*u**4 + 88*u**3 - 132*u**2. Let t(k) = k**5 + 4*k**3 + 2*k**2. Let r(z) = g(z) + 10*t(z). Let r(f) = 0. What is f?
0, 2, 7
Suppose 0*z = -4*z + 16. Suppose 9 + 16 - z - j**2 - 6*j - 5 = 0. Calculate j.
-8, 2
Let m(d) be the third derivative of d**7/70 + 17*d**6/10 + 543*d**5/10 - 595*d**4/2 + 1225*d**3/2 - 1259*d**2. What is c in m(c) = 0?
-35, 1
Suppose 1/2*r**4 - 117810*r - 85*r**3 + 960498 + 9997/2*r**2 = 0. Calculate r.
22, 63
Let b(f) be the second derivative of f**6/60 - 57*f**5/40 + 41*f**4/6 - 9*f**3 - 507*f. Factor b(q).
q*(q - 54)*(q - 2)*(q - 1)/2
Let c(f) be the second derivative of 161/40*f**5 - 833/24*f**4 - 2401/8*f**2 + 155*f - 29/120*f**6 + 3773/24*f**3 + 1/168*f**7 + 0. Let c(v) = 0. Calculate v.
1, 7
Let f = 270316/3 + -89325. Let d = f - 780. Factor -4/3 + 1/3*b**3 + 4/3*b**2 - d*b.
(b - 1)*(b + 1)*(b + 4)/3
Factor -57/2*v - 33/2*v**2 - 15/2 + 9/2*v**3.
3*(v - 5)*(v + 1)*(3*v + 1)/2
What is y in 261*y - 4511036*y**2 + 4511039*y**2 + 431 + 799 = 0?
-82, -5
Let a(q) be the second derivative of q**5/70 + 100*q**4/21 - q**3/21 - 200*q**2/7 + 38*q - 100. What is r in a(r) = 0?
-200, -1, 1
Factor -778/13 + 2336/13*a - 6/13*a**2.
-2*(a - 389)*(3*a - 1)/13
Suppose 3*q + q = 4*r + 28, 4 = 2*r. Factor q*x + 6*x + 3*x**2 - 23*x + 2*x - 9.
3*(x - 3)*(x + 1)
Let f(s) = -s**3 + 4 + s + 2*s**3 - 5. Let l(t) = 10*t**3 - t**2 + 12*t - 10. Let r = 646 + -690. Let b(n) = r*f(n) + 4*l(n). Factor b(p).
-4*(p - 1)*(p + 1)**2
Let h be 3/2*(-6 - (-61)/10). Let t(w) be the first derivative of -24 + h*w**4 + 0*w + 0*w**3 - 1/25*w**5 + 0*w**2. Suppose t(z) = 0. Calculate z.
0, 3
Let i(c) be the first derivative of c**5/40 + 5*c**4/24 - c**3/12 - 5*c**2/4 - 15*c - 10. Let j(n) be the first derivative of i(n). Find o, given that j(o) = 0.
-5, -1, 1
Find y, given that 4*y + 32 - 10*y**2 - 4771*y**3 + 9535*y**3 - 4765*y**3 + 2*y**2 = 0.
-8, -2, 2
Let d(m) be the second derivative of 1/5*m**2 - m - 2/5*m**3 + 49 + 3/10*m**4. Solve d(p) = 0 for p.
1/3
Let u(g) = -510*g + 32. Let b be u(0). Let q(t) be the first derivative of 11 + b*t**2 + 1/3*t**4 + 256/3*t + 16/3*t**3. Determine c so that q(c) = 0.
-4
Let k(o) be the first derivative of o**5 - 55*o**4/4 - 85*o**3/3 + 315*o**2/2 - 180*o + 2244. Suppose k(t) = 0. What is t?
-3, 1, 12
Let h(j) be the third derivative of 7*j**6/30 - 41*j**5/30 + 10*j**4/3 - 13*j**3/3 + 1754*j**2 - 2*j + 2. Factor h(k).
2*(k - 1)**2*(14*k - 13)
Let v be 0 + 2 + -5 - -18415. Factor 4*a**2 - v - 8*a + 4*a**3 + 18412.
4*a*(a - 1)*(a + 2)
Let x(j) be the third derivative of -j**6/180 - 11*j**5/27 + 38*j**4/27 - 47*j**2 + 1. Factor x(g).
-2*g*(g + 38)*(3*g - 4)/9
Let h(m) = m**2 + 2*m - 2. Let j(p) = -p**2 - 19*p - 80. Let x be j(-4). Let y(g) = -6*g**2 - 17*g + 4. Let k(z) = x*h(z) - 4*y(z). Let k(b) = 0. What is b?
-6, -1
Let s(b) = -160*b - 1597. Let v be s(-10). Let u be ((-16)/4)/(-4) - -3. What is g in 3/2*g**u + 9/2 - 15*g + 18*g**2 - 9*g**v = 0?
1, 3
Let s be -50 - ((-7965)/472 + -37) - (1/(-8) + 0). What is w in -34*w**s + 212/5*w**3 - 116/5*w**2 - 2/5 + 10*w**5 + 26/5*w = 0?
1/5, 1
Let t(j) be the first derivative of -j**5/4 - 3*j**4/4 + 7*j**3 - 4*j**2 - 177*j + 112. Let s(a) be the first derivative of t(a). Suppose s(z) = 0. What is z?
-4, 1/5, 2
Let s(m) = 23*m**4 + 72*m**3 - 453*m**2 + 598*m - 251. Let b(h) = 8*h**4 + 24*h**3 - 152*h**2 + 200*h - 84. Let w(r) = -11*b(r) + 4*s(r). Factor w(z).
4*(z - 2)*(z - 1)**2*(z + 10)
Let c = 16210 + -16197. Let h(y) be the second derivative of 1/30*y**6 + y**2 + 0 - 1/4*y**4 + 1/6*y**3 - 1/20*y**5 + c*y. Factor h(m).
(m - 2)*(m - 1)*(m + 1)**2
Let c(y) be the first derivative of y**3/2 - 27*y**2 + 192*y - 2162. Let c(r) = 0. What is r?
4, 32
Let o(k) = 38*k**4 + 2528*k**3 + 3328*k**2 + 1104*k. Let q(c) = -c**4 + 2*c**3. Let p(g) = -o(g) - 2*q(g). Determine a so that p(a) = 0.
-69, -2/3, 0
Let x be (111/148)/(87/203). Let x*t**2 - 1/8*t**4 + 3/2*t**3 - 13/8 - 3/2*t = 0. What is t?
-1, 1, 13
Let d(c) be the second derivative of 10*c + 1/150*c**5 - 1/12*c**4 + 0 + 4/15*c**3 + 3*c**2. Let o(r) be the first derivative of d(r). Factor o(x).
2*(x - 4)*(x - 1)/5
Let d(k) = 2*k**4 - 4*k**3 - 6*k**2 + 4. Let j(u) = -6*u**4 + 4*u**4 + u + 8*u**2 + 143*u**3 - u**4 - 139*u**3 - 5. Let v(s) = 5*d(s) + 4*j(s). Factor v(n).
-2*n*(n - 1)*(n + 1)*(n + 2)
Let h(d) = 4*d**4 - d**3 + 3*d**2 + 4*d - 4. Let b(p) = 2*p**4 + p - 1. Suppose 0*i = -6*i - 18. Let w(m) = i*b(m) + h(m). Factor w(x).
-(x - 1)*(x + 1)**2*(2*x - 1)
Let i(s) be the third derivative of s**6/270 + 2*s**5/9 + 16*s**4/3 + 1792*s**3/27 + 330*s**2. What is n in i(n) = 0?
-14, -8
Suppose -3*y + 3*s = -12, -3*y + 4*y = 4*s + 4. Let -341*m**2 + 6*m**y + 75*m + 310*m**2 + 151*m**2 - 57*m**3 = 0. What is m?
-1/2, 0, 5
Let o(j) be the second derivative of j**5/110 + j**4/6 + 19*j**3/33 + 9*j**2/11 - 