t is s?
-2, -1/2, 0, 1, 3
Let w(r) be the third derivative of 0*r + 8/15*r**3 + 0 - 1/10*r**4 - 39*r**2 + 1/150*r**5. Factor w(p).
2*(p - 4)*(p - 2)/5
Find m, given that -2/11*m**4 + 2*m**2 - 18/11*m**3 - 20/11 + 18/11*m = 0.
-10, -1, 1
Suppose 2*r + 13*p = 12*p - 2, 18 = -4*r + 5*p. Let q(v) = v**3 + 3*v**2 + v - 2. Let m be q(r). Factor 0*s + m + 1/3*s**2.
s**2/3
Let u(m) be the first derivative of -m**6/9 + 18*m**5/5 - 17*m**4 - 2176*m**3/9 - 512*m**2 - 4038. Find g such that u(g) = 0.
-3, -2, 0, 16
Let u(y) be the second derivative of 13/8*y**5 - 35/3*y**3 + 54*y - 35/6*y**4 + 5/6*y**6 + 5/84*y**7 + 40*y**2 + 0. Suppose u(d) = 0. Calculate d.
-8, -2, 1
Let s be ((-45)/(-27) - 0) + 2/6. Let g(w) be the first derivative of 1/8*w**4 + w - 1/4*w**s + 22 - 1/3*w**3. Factor g(u).
(u - 2)*(u - 1)*(u + 1)/2
Let r(g) = -g**3 - 10*g**2 - 3*g - 23. Let u be r(-10). Determine i, given that i**2 + 8*i**3 - 3*i**2 - 3*i**3 - 30*i + u*i**2 = 0.
-3, 0, 2
Let t(g) = -70*g - 836. Let z be t(-12). Let o(s) be the third derivative of 22*s**2 + 5/6*s**3 + 0*s - 1/12*s**5 + 5/12*s**z + 0 - 1/12*s**6. Factor o(v).
-5*(v - 1)*(v + 1)*(2*v + 1)
Let o(k) = 3*k**2 + 385*k + 7592. Let f be o(-104). Let 2*h**2 - 3/4*h**3 - 7/4*h**4 + h - 1/2*h**5 + f = 0. What is h?
-2, -1/2, 0, 1
Let i be ((-15)/45)/(1/(-12)). Suppose 4*h - 40 = -y, -i*y - 13 = -h - 3. Suppose -5*r**5 + 15*r**4 - 15*r**2 - 5*r**3 + h*r - 464 + 464 = 0. What is r?
-1, 0, 1, 2
Let y = -518416 + 2592084/5. Find b such that -2/5 - 2/5*b**2 + y*b = 0.
1
Let h = -21830 + 21830. Factor -2/5*g + h - 4/5*g**2 - 2/5*g**3.
-2*g*(g + 1)**2/5
Let h(m) be the second derivative of -m**5/90 + 5*m**4/9 + 11*m**3 + 266*m**2/9 + 306*m + 3. Solve h(a) = 0.
-7, -1, 38
Let d(z) be the first derivative of -z**4/36 - z**3/9 + 2*z**2/9 - 322. Factor d(r).
-r*(r - 1)*(r + 4)/9
Let w(x) be the second derivative of 0*x**2 - 1/10*x**5 - 1/189*x**7 + 1/27*x**6 + 7/54*x**4 - 2 - 43*x - 2/27*x**3. Factor w(z).
-2*z*(z - 2)*(z - 1)**3/9
Let x = 79752/199405 + 2/39881. Let x*s**3 + 2/5*s**2 - 12/5*s + 0 = 0. What is s?
-3, 0, 2
Let p = 300198 + -174321. Suppose 6*a**5 - 125877 + 12*a + p + 48*a**2 + 33*a**4 + 63*a**3 = 0. Calculate a.
-2, -1, -1/2, 0
Solve -2/3*o + 1/3*o**2 - 8 = 0.
-4, 6
Suppose -2*i - 5*t + 6 = 0, -2*t - t + 12 = 4*i. Let o = 91708 - 91706. Factor -16/9*j**o + 0 + 4/9*j + 4/3*j**i.
4*j*(j - 1)*(3*j - 1)/9
Let m = 213107 + -1065487/5. Solve -m*v**2 - 84/5*v - 8 - 4/5*v**3 = 0.
-10, -1
Let n(l) = 5*l**2 + 22 + 80*l + 4*l**2 - 76*l + 5*l**2. Let x(w) = 4*w**2 + w + 7. Let m(u) = 6*n(u) - 20*x(u). Factor m(h).
4*(h - 1)*(h + 2)
Let x = 2299 + -2295. Let d(i) be the second derivative of -26/3*i**3 + 0 + 6*i**2 + i + 4/3*i**x. Factor d(t).
4*(t - 3)*(4*t - 1)
Let n(r) be the third derivative of -1/60*r**5 - 7/3*r**3 - 115*r**2 - 5/8*r**4 + 0*r + 0. Factor n(b).
-(b + 1)*(b + 14)
Let m(v) = -23*v**2 + 906*v - 911. Let l(d) = 13*d**2 - 452*d + 455. Let t(n) = 7*l(n) + 4*m(n). Determine y so that t(y) = 0.
1, 459
Solve -486/11 - 156/11*m + 2/11*m**2 = 0.
-3, 81
Determine m so that 9*m + 51/5*m**3 + 0 - 93/5*m**2 - 3/5*m**4 = 0.
0, 1, 15
Let h(g) be the third derivative of g**6/180 - g**5/15 + 9*g**3 + 7*g**2. Let w(u) be the first derivative of h(u). Suppose w(m) = 0. What is m?
0, 4
Let r be (-970596)/36765*220/(-21). Factor 1/7*h**2 + 88/7*h + r.
(h + 44)**2/7
Let c be (15/(-20) + 1)/((-790)/80 - -10). Let u(t) be the third derivative of c*t**2 + 0 + 3/4*t**3 + 0*t + 5/32*t**4 + 1/80*t**5. Factor u(g).
3*(g + 2)*(g + 3)/4
Factor -19/10*i**4 + 53/5*i**3 - 27/10*i - 99/5*i**2 + 297/10 + 1/10*i**5.
(i - 11)*(i - 3)**3*(i + 1)/10
Let y be (-18 - -8)*18/(-36). Let b(s) be the third derivative of -1/36*s**4 + 14*s**2 + 0*s - 2/9*s**3 + 0 + 1/90*s**y. Let b(o) = 0. What is o?
-1, 2
Solve -40*w**2 - 325*w - 16100 - 500*w + 39*w**2 - 181036 - 63*w = 0 for w.
-444
Let h(b) = 700*b + 3503. Let l be h(-5). Find p such that 2*p**4 + l*p + 16/3*p**2 + 2/3 + 1/3*p**5 + 14/3*p**3 = 0.
-2, -1
Let f(x) = 2*x**2 + 106*x - 54. Let j(y) = -4*y**2 - 131*y + 54. Let t(z) = -6*f(z) - 4*j(z). Factor t(v).
4*(v - 27)*(v - 1)
Let b(z) be the first derivative of 2*z**6/75 - 3*z**5/25 + z**4/5 - 2*z**3/15 + 57*z - 22. Let c(o) be the first derivative of b(o). Factor c(s).
4*s*(s - 1)**3/5
Let r(h) = 46*h - 5. Let f be r(5). Let c be ((-54)/24 - -2) + f/4. Factor 25*v**4 + 38*v**2 + 61 - c + 5*v**5 + 25*v + 50*v**3 + 12*v**2.
5*(v + 1)**5
Let m(y) = -y**3 - y**2 + 3*y. Let n(j) = -3*j**3 + 43*j**2 - 87*j + 52. Let c(g) = -6*g**2 + 51*g - 29. Let o be c(8). Let a(x) = o*m(x) + n(x). Factor a(u).
2*(u - 1)**2*(u + 26)
Let a(o) be the third derivative of -169*o**7/1785 - 39*o**6/340 + 8*o**5/85 - o**4/51 - 1007*o**2. Solve a(y) = 0.
-1, 0, 2/13
Let r(o) = -15*o**4 + 1199*o**3 - 7650*o**2 + 6480*o - 28. Let d(i) = 10*i**4 - 800*i**3 + 5100*i**2 - 4320*i + 20. Let z(s) = -7*d(s) - 5*r(s). Factor z(v).
5*v*(v - 72)*(v - 6)*(v - 1)
Factor -38*u + 1/3*u**2 - 595/3.
(u - 119)*(u + 5)/3
Suppose 533*p**2 + 164*p**2 + 292*p**3 - 113*p + 55*p**3 - p**4 + 462*p = 0. Calculate p.
-1, 0, 349
Factor -100 + 1/3*s**2 - 71/3*s.
(s - 75)*(s + 4)/3
Let v = 292 - 277. Let d be (5/(-15))/((-10)/v). Let 5/6*g**4 + 1/3*g**5 - 5/6*g**3 + 0 - 5/6*g**2 + d*g = 0. Calculate g.
-3, -1, 0, 1/2, 1
Let d(q) = 10*q**2 - 163*q - 426. Let h(u) = 86*u**2 - 1462*u - 3834. Let n(k) = -52*d(k) + 6*h(k). Factor n(g).
-4*(g + 3)*(g + 71)
Let s = 35387/210 - 337/2. Let p(c) be the second derivative of -2/15*c**4 + 0*c**3 + 0 + 0*c**2 + 0*c**5 - 4*c - s*c**7 + 1/25*c**6. Factor p(w).
-2*w**2*(w - 2)**2*(w + 1)/5
Let s be (2175/60)/29*(-8)/(-5). Let c = -862 - -2614/3. Solve c*z + 20/3*z**s + 4/3*z**3 + 4 = 0.
-3, -1
Let l(s) be the second derivative of 3/70*s**5 - 1/21*s**4 - 1/210*s**6 + 5/14*s**2 - 23*s - 1/7*s**3 + 0. Factor l(y).
-(y - 5)*(y - 1)**2*(y + 1)/7
Let c(l) be the first derivative of 1/4*l**2 + 3*l - 12 + 1/72*l**4 - 1/9*l**3. Let i(q) be the first derivative of c(q). Factor i(y).
(y - 3)*(y - 1)/6
Let t(f) be the first derivative of 5*f**3/18 - 55*f**2/2 + 4465*f/6 - 12827. Factor t(v).
5*(v - 47)*(v - 19)/6
Let g(h) be the first derivative of -h**5/30 - 5*h**4/18 + h**3/9 + 5*h**2/3 + 34*h + 33. Let b(u) be the first derivative of g(u). Factor b(z).
-2*(z - 1)*(z + 1)*(z + 5)/3
Let z be (4/5)/(46/115). Let y(m) = 53*m**3 + 2*m**2 - 2*m + 3. Let v be y(z). Find f, given that -2 + 2*f**2 - 431*f + v*f = 0.
-1, 1
Let h(l) be the second derivative of -5*l**6/468 + l**5/39 - l**4/39 + l**3/3 + 27*l**2 + 60*l. Let g(m) be the second derivative of h(m). Factor g(j).
-2*(5*j - 2)**2/13
Let p = 15857 + -15853. Let y(d) be the first derivative of p*d**5 + 0*d - 16*d**2 + 6*d**4 + 2/3*d**6 - 16/3*d**3 + 29. Factor y(o).
4*o*(o - 1)*(o + 2)**3
Let s(m) = m**3 - 6*m**2 + 5*m + 8. Let y be s(5). Let x be 18/4 + y + (-10)/2. Factor 111/8*r**3 - x*r**2 + 0 - 45/4*r**4 + 27/8*r**5 + 3/2*r.
3*r*(r - 1)**2*(3*r - 2)**2/8
Let a(v) = -2*v**4 - 4*v**3 - 1. Let r(b) = 6*b**4 - 1198*b**3 + 181200*b**2 + 182408*b + 2. Let y(g) = 2*a(g) + r(g). Factor y(f).
2*f*(f - 302)**2*(f + 1)
Let w(h) be the first derivative of -147 + 0*h + 0*h**2 + 0*h**3 + 0*h**4 + 1/60*h**6 - 2/25*h**5. Factor w(r).
r**4*(r - 4)/10
Solve -9*v - 3/2*v**2 + 81/2 = 0 for v.
-9, 3
Let x(j) = 0*j - 2*j - 3 + 2 + 5. Let m be x(0). Factor -16*s**3 + m*s**2 - 3*s + 22*s**3 - 3*s**5 - 4*s**2.
-3*s*(s - 1)**2*(s + 1)**2
Let m = -4272 - -4275. Let r(q) be the first derivative of 75/28*q**4 - 13 - 15/7*q**m - 9/14*q**6 + 33/35*q**5 + 12/7*q - 24/7*q**2. Find u such that r(u) = 0.
-1, 2/9, 1, 2
Let k(z) = -29*z**3 + 250*z**2 - 4000*z + 20000. Let m(f) = -4*f**3. Let y(n) = -k(n) + 6*m(n). Factor y(w).
5*(w - 20)**2*(w - 10)
Let c(b) be the first derivative of -b**6/3 - 8*b**5/5 - 2*b**4 - 1137. Factor c(o).
-2*o**3*(o + 2)**2
Let k be (-1 + 1)*3/(-6). Let s = -127418 + 127418. Determine l so that 0 + k*l**3 - 10/7*l**4 + 0*l**2 + 2/7*l**5 + s*l = 0.
0, 5
Let x(u) be the first derivative of -25*u**6/24 + 1453*u**5/2 + 40811*u**4/16 + 10067*u**3/3 + 4087*u**2/2 + 584*u + 6289. Find s such that x(s) = 0.
-1, -2/5, 584
Let z(i) be the third derivative of -4*i + 0 + 1/24*i**5 - 4*i**2 + 0*i**4 - 15/4*i**3. Find r such that z(r) = 0.
-3, 3
Le