- 2*p. Let n(h) = -6*l(h) + q(h). Let k(v) = 11*v**2 - 41*v + 38. Let b(o) = 18*k(o) - 5*n(o). Factor b(j).
3*(j - 4)*(j - 2)
Let s(j) be the third derivative of 0*j - 91*j**2 + 0 + 3/40*j**5 - 1/120*j**6 + 1/2*j**3 - 13/48*j**4. Factor s(m).
-(m - 2)*(m - 1)*(2*m - 3)/2
Let q = 108 + -104. Suppose -54 - y**3 - 364*y**4 - 135*y - 48*y**2 + 744*y**4 + 16*y**3 - 374*y**q = 0. Calculate y.
-3, -2, -1/2, 3
Let q(c) be the second derivative of -33/4*c**2 - 53 + 2*c - 8/3*c**3 + 1/24*c**4. Solve q(s) = 0.
-1, 33
Let j(o) be the second derivative of o**6/10 + 3696*o**5/25 + 1213273*o**4/20 - 243049*o**3/5 + 1934*o. Suppose j(a) = 0. Calculate a.
-493, 0, 2/5
Suppose 0 = -33*j + 38 + 94. Factor j*y**2 - 4*y**3 - 4 + 37*y + 25*y - 58*y.
-4*(y - 1)**2*(y + 1)
Let h be ((15/105*0)/(-1))/(0 + -1). Find z such that 42/5*z**2 - 12/5*z + 24/5*z**3 + h = 0.
-2, 0, 1/4
Let r(t) be the second derivative of -21*t + 50*t**2 - 40/3*t**3 - 2 + 4/3*t**4. Suppose r(v) = 0. Calculate v.
5/2
Let j(g) = 14*g - 740. Let a be j(53). Suppose 1/2*k**a + 0 - 31/2*k = 0. What is k?
0, 31
Factor -4992 - 14585*a**4 + 864*a + 68*a**3 + 642*a**2 - 14593*a**4 + 29181*a**4 + 13*a**3.
3*(a - 2)*(a + 8)**2*(a + 13)
Suppose 9*x - 82 = 413. Let w be (-44)/55*x/(-2). Factor -m**3 - 16*m**2 - 8 - 3*m + w*m + 5*m**3 + m.
4*(m - 2)*(m - 1)**2
Factor 40*b - 238/3 - 1/6*b**2.
-(b - 238)*(b - 2)/6
Let f = 186146 + -186143. Suppose 2/3*g**f + 4/3 + 34/9*g + 28/9*g**2 = 0. Calculate g.
-3, -1, -2/3
Let x(r) be the first derivative of -20*r**5/7 - 340*r**4/7 - 1328*r**3/7 - 1984*r**2/7 - 1280*r/7 + 2426. Suppose x(w) = 0. Calculate w.
-10, -2, -4/5
Let k = -1121 - -1126. Let u(n) be the second derivative of 1/35*n**k - 1/49*n**7 + 0*n**4 + 0*n**3 + 1/105*n**6 + 0 + 0*n**2 - 17*n. Factor u(j).
-2*j**3*(j - 1)*(3*j + 2)/7
Suppose 0 = -3*k - 9*k - 264. Let y be 684/336 + 2 + k/8. Factor -3/7*x**2 + y*x + 12/7.
-3*(x - 4)*(x + 1)/7
Let d be ((-156)/5)/(-3) - 10008/1251. Factor d*n**2 + 92/5*n - 32/5.
4*(n + 8)*(3*n - 1)/5
Factor 64/9*o + 2/9*o**3 + 64/9 + 20/9*o**2.
2*(o + 2)*(o + 4)**2/9
Let a(t) be the second derivative of -1/2*t**2 - 7 - 2*t - 1/48*t**4 - 5/24*t**3. Factor a(g).
-(g + 1)*(g + 4)/4
Let d be (4/(-1) - -1) + 13. Suppose 2*f - 7*f = -d. Factor 4*n**f + 8*n**2 + 52*n - 12*n - 32.
4*(n + 4)*(3*n - 2)
Let z(w) be the first derivative of -w**6/12 - 3*w**5/10 - w**4/4 + w**3/3 + 3*w**2/4 + w/2 + 2973. Factor z(v).
-(v - 1)*(v + 1)**4/2
Let z = -1221 + 1273. Let t be (10/6)/((-3)/(-9)). Determine c so that z*c**5 + 58*c**t - 109*c**5 - c**3 = 0.
-1, 0, 1
Let v(l) = -l**3 + 6*l**2 - 3*l. Let m(q) be the first derivative of -q**4/4 + 2*q**3 - q**2 + 53. Let h(t) = -4*m(t) + 6*v(t). Factor h(w).
-2*w*(w - 5)*(w - 1)
Let n(r) be the third derivative of 7/60*r**5 + 0*r - 2/15*r**3 - 230*r**2 + 1/30*r**4 + 0. Let n(b) = 0. What is b?
-2/5, 2/7
Let r(f) be the first derivative of -7*f**3/3 - 9*f**2/2 - 2*f - 47. Let g(u) = 3*u**2 + 4*u + 1. Let k(b) = 5*g(b) + 2*r(b). Solve k(h) = 0 for h.
-1
Suppose 2*c - 8 = 4*y - 8*y, 3*y = c - 4. Suppose 0 = -5*h - 4*u + 21, y = -2*u + u + 4. Factor 14 - h + 15*a**2 - 40*a + 0 + 12.
5*(a - 1)*(3*a - 5)
Let n(h) be the second derivative of -1/78*h**4 + 0 + 2*h - 1/39*h**3 + 12/13*h**2. Determine f, given that n(f) = 0.
-4, 3
Let x be 2 - 0 - (-4)/((-20)/(-385)). Let k = x + -61. Factor 14 + 3400*o + k - 3416*o - 2*o**3 - 14*o**2.
-2*(o - 1)*(o + 4)**2
Let h = -54/1889 + 7718/5667. Factor -h + 1/6*i**3 - 7/6*i**2 + 7/3*i.
(i - 4)*(i - 2)*(i - 1)/6
Let c(l) be the second derivative of 2*l + 23/5*l**5 - 4*l**2 + 26/3*l**4 + 14/3*l**3 + 16 + 4/5*l**6. Determine r, given that c(r) = 0.
-2, -1, 1/6
Suppose -4*z + 4 = 4*j, 4*z = -2 + 6. Let i(q) be the second derivative of -15/2*q**3 - 5*q**2 + j - 35/12*q**4 - 12*q. Factor i(r).
-5*(r + 1)*(7*r + 2)
Suppose -77*z + 22 = -66*z. Suppose -332*t**z - 1313*t - 4217*t + 7046 - 4*t**3 + 10 - 1190*t = 0. What is t?
-42, 1
Let q(x) = 1287*x - 77220. Let y be q(60). What is f in 0 - 1/8*f**3 - 1/8*f**4 + y*f + 3/4*f**2 = 0?
-3, 0, 2
Let i = -34/3197 + 3265/6394. Factor 5/4*f**3 + 0*f**2 - i*f**4 - 3/4*f**5 + 0 + 0*f.
-f**3*(f - 1)*(3*f + 5)/4
Factor 0 + 12/7*k + 39/7*k**3 + 3/7*k**5 + 18/7*k**4 + 36/7*k**2.
3*k*(k + 1)**2*(k + 2)**2/7
Let s be 7212/9616*(4/6)/1. Factor 1/6*n**3 - 3/2*n + s*n**2 + 5/6.
(n - 1)**2*(n + 5)/6
Let x = -8789/8 + 8795/8. Factor -x*u**4 + 5/4*u - 21/4*u**2 + 19/4*u**3 + 0.
-u*(u - 5)*(u - 1)*(3*u - 1)/4
Let w(k) be the second derivative of 3/80*k**5 - 95*k - 12*k**2 + 0 - 7/2*k**3 - 1/4*k**4. What is h in w(h) = 0?
-2, 8
Suppose 2*g - 26 = s - 0*s - 8, 0 = g - 10. Suppose 40*d**s - 176/5*d - 32/5 - 52/5*d**3 = 0. Calculate d.
-2/13, 2
Let q(f) be the first derivative of f**4/2 + 622*f**3/3 - 625*f**2 + 626*f - 1327. What is h in q(h) = 0?
-313, 1
Let c(n) = -3224 - 2*n**2 + 4*n**2 + 117*n - 237 + 291*n. Let q(h) = -2*h**2 - 272*h + 2307. Let g(d) = -5*c(d) - 7*q(d). What is x in g(x) = 0?
17
Let n(d) be the first derivative of 5*d**3/2 + 23915*d**2/4 + 3985*d + 1106. Factor n(b).
5*(b + 1594)*(3*b + 1)/2
Let u(p) be the first derivative of -5*p**4/24 - 25*p**3/18 + 35*p**2/6 - 2944. Suppose u(f) = 0. Calculate f.
-7, 0, 2
Suppose 39*x - 108 = 12*x. Factor 8 - 3 + 30*n**2 - 31*n**2 + x*n + 0.
-(n - 5)*(n + 1)
Let u(j) be the first derivative of 3*j**6 - 11 + 72/5*j**2 + 9/5*j**4 - 296/5*j**3 + 192/5*j + 426/25*j**5. Find c, given that u(c) = 0.
-4, -2, -2/5, 2/3, 1
Let g(m) be the third derivative of m**6/1080 + m**5/9 - 61*m**4/216 + 5*m**2 + 7*m - 51. What is s in g(s) = 0?
-61, 0, 1
Let l(w) be the third derivative of -w**6/40 - 13*w**5/20 - 15*w**4/4 - 698*w**2. Suppose l(k) = 0. Calculate k.
-10, -3, 0
Let n(f) be the third derivative of -f**7/210 - 4*f**6/15 - 197*f**5/60 + 247*f**4/12 - 44*f**3 - 8736*f**2. Factor n(t).
-(t - 1)**2*(t + 12)*(t + 22)
Factor -9*m**3 + 191*m**4 - 1500*m + 2625 + 328*m**2 - 194*m**4 - 123*m**3 - 1318*m**2.
-3*(m - 1)*(m + 5)**2*(m + 35)
Let f(p) = -p + 23. Let a(o) = -o**2 - 1076*o - 291692. Let m(t) = -2*a(t) - 8*f(t). Find r, given that m(r) = 0.
-540
Factor -1612*z**2 + 16*z + 4*z + 69*z + 19*z + 1616*z**2 - 792.
4*(z - 6)*(z + 33)
Let d(t) be the third derivative of 13*t**6/120 + 41*t**5/60 - 9*t**4/4 + 5*t**2 - t - 508. Solve d(k) = 0 for k.
-54/13, 0, 1
Suppose 36 = -7*y + 16*y. Suppose y*f - 1 = 15. Factor -f*n**4 + 26*n**3 - 2*n**3 - 32*n**2 + 0*n**2.
-4*n**2*(n - 4)*(n - 2)
Suppose 0 = 4*y - 29 + 1. Let n be 2/y - 264/(-56). Factor 45*u**3 - 4*u**2 - 5*u**3 + 24*u**5 + 52*u**n - 117*u**4 + 5*u**5.
u**2*(u - 1)*(9*u - 2)**2
Find v, given that 3/5*v + 66/5 - 3/5*v**3 - 66/5*v**2 = 0.
-22, -1, 1
Let l(d) = -5158*d + 128960. Let a be l(25). Factor -128/3 - 32*o - 2/3*o**3 + a*o**2.
-2*(o - 8)**2*(o + 1)/3
Let t(l) be the third derivative of l**6/1080 - 13*l**5/180 + 49*l**4/108 + 20*l**3/3 - l**2 + 64*l - 8. What is x in t(x) = 0?
-2, 5, 36
Suppose 93*a - 613*a = 165*a - 2055. Factor -1/3*m**a - 841*m + 24389/3 + 29*m**2.
-(m - 29)**3/3
Factor 72/11*t + 2/11*t**2 - 2/11*t**3 - 72/11.
-2*(t - 6)*(t - 1)*(t + 6)/11
Suppose 1360 = -6*m + 10*m + 2*o, -3*m + 4*o + 998 = 0. Let h = m + -1013/3. Suppose -4/3*p**2 - 2/9*p**3 + 1/9*p**5 - 8/9*p + 0 + h*p**4 = 0. What is p?
-2, -1, 0, 2
Factor 16*z - 464 - 770 + 612*z - 38 + 4*z**2.
4*(z - 2)*(z + 159)
Let k = 2/334997 - 638839297/3014973. Let g = 213 + k. Find d such that 14/9*d**2 + 2/9 + 2/3*d**3 + g*d = 0.
-1, -1/3
Let h be ((-10)/(-3))/((-25)/(-630)). Solve 153*n**2 - 140*n**4 - 67*n**4 - 10*n**3 + 202*n**3 - 26*n - h*n**5 - 28*n = 0 for n.
-3, -3/4, 0, 2/7, 1
Suppose -117*b + 56*b = 51*b - 224. Let i(p) be the first derivative of -1/8*p**3 - 13 + 15/8*p + 3/4*p**b. Factor i(m).
-3*(m - 5)*(m + 1)/8
Let o(a) be the third derivative of a**6/80 + 83*a**5/20 + 41*a**4/2 - 2359*a**2 + 2. Factor o(d).
3*d*(d + 2)*(d + 164)/2
Let h = -5949386/5 - -1189879. Let 0 - 2/5*y**4 + 2/5*y**2 + 1/5*y**5 + 8/5*y - h*y**3 = 0. Calculate y.
-2, -1, 0, 1, 4
Let v = -111/5 + 23. Let j = -8/35 + v. Solve -j*p**2 + 0*p**4 + 8/7*p**3 - 6/7*p - 2/7*p**5 + 4/7 = 0.
-2, -1, 1
Let j(r) be the first derivative of -3/4*r**3 + 0*r**2 - 14 + 1/20*r**6 - 1/8*r**4 + 9/40*r**5 + 16*r. Let n(w) be the first derivative of j(w). Factor n(g).
3*g*