= -j(x) + 4*t(x). Factor m(o).
-4*o**2*(o + 6)
Suppose 4*z - 3*t + 15 = 0, 9*t - 12*t + 15 = 0. Let a(s) be the second derivative of 34*s + z - 5/12*s**4 + 5/2*s**3 + 25*s**2. Determine g so that a(g) = 0.
-2, 5
Suppose -q - 20 = -11*q. Factor -48*s**3 - 4*s**2 + s**5 - s + q*s**2 + 2*s**4 + 48*s**3.
s*(s - 1)*(s + 1)**3
Let c(m) = 427*m + 4*m**3 + 44 + 5*m**2 - 3*m**3 + 429*m + 414*m - 1256*m. Let n be c(-4). Let 15*a - 3/2 + 60*a**3 - 24*a**n - 99/2*a**2 = 0. Calculate a.
1/4, 1
Factor -4/7*a**2 - 19184/7*a - 23001616/7.
-4*(a + 2398)**2/7
What is s in 3052*s**2 + 1017*s**2 - 1194*s**2 + 2140*s + 20*s**3 - 715 = 0?
-143, -1, 1/4
Let j(g) be the second derivative of -12/85*g**5 + 1/17*g**2 + 0 + 11/51*g**4 - 71*g + 3/85*g**6 - 8/51*g**3. Factor j(m).
2*(m - 1)**2*(3*m - 1)**2/17
Suppose 5*i - 31 = -l, 5*l - 13 = 4*l + 4*i. Factor -4*j**2 + 8*j**2 + 56*j**2 + l*j**4 + 96*j**3 + 23*j**4 + 8*j.
4*j*(j + 1)**2*(11*j + 2)
Let x(t) be the third derivative of t**8/336 + t**7/70 - t**6/20 - 7*t**5/15 - t**4 + 161*t**2 + 4*t. Factor x(q).
q*(q - 3)*(q + 2)**3
Let t(p) be the first derivative of 2*p**5/35 - 23*p**4/14 + 152*p**3/21 + 36*p**2 - 1290. Factor t(d).
2*d*(d - 18)*(d - 7)*(d + 2)/7
Let h = 2482189/377734 - -9/53962. Find y, given that 24/7 + 8*y + 2/7*y**4 + h*y**2 + 16/7*y**3 = 0.
-3, -2, -1
Let d(h) be the third derivative of -h**5/140 - 91*h**4/4 - 57967*h**3/2 + 24*h**2 - 7*h. Let d(o) = 0. Calculate o.
-637
Suppose -5*j + 61 - 11 = 0. Let m = j + 13. Find o such that -7*o**4 - m*o**4 + 0*o**5 + 15*o**3 + 15*o**5 - 20*o**4 = 0.
0, 1/3, 3
Let p(i) be the third derivative of -172*i**2 + 0 - 961/45*i**3 - 31/90*i**4 + 0*i - 1/450*i**5. Solve p(q) = 0 for q.
-31
Let k be (-2 - -2 - -1)/1. Let s be (-1)/(-12) - (-4 + (-25)/(-12)). Factor 8*o + 2*o - o**s + 1 - 9*o + k.
-(o - 2)*(o + 1)
Let a(k) be the first derivative of 0*k**3 + 0*k**2 + 0*k + 1/26*k**4 + 0*k**5 - 100 - 1/39*k**6. Factor a(t).
-2*t**3*(t - 1)*(t + 1)/13
Factor 13519976/5*a**2 + 31224/5*a**3 + 6027392/5 + 18/5*a**4 - 18068288/5*a.
2*(a + 868)**2*(3*a - 2)**2/5
Let w(k) be the third derivative of -1/140*k**7 + k**3 + 2 - 5/672*k**8 + 37/240*k**6 - 3/40*k**5 - 2/3*k**4 + 12*k**2 + 0*k. Determine h, given that w(h) = 0.
-3, -1, 2/5, 1, 2
Let v(w) be the second derivative of -25*w**4/12 + 515*w**3/6 - 150*w**2 + 3240*w. Factor v(i).
-5*(i - 20)*(5*i - 3)
Let s(j) be the third derivative of j**2 - 1/20*j**6 + 1/210*j**7 + 13/60*j**5 + 0*j + 2/3*j**3 + 0 - 1/2*j**4. Factor s(p).
(p - 2)**2*(p - 1)**2
Factor -2/3*k**3 + 74/3*k + 20/3*k**2 + 52/3.
-2*(k - 13)*(k + 1)*(k + 2)/3
Let y(v) be the third derivative of -v**6/90 - v**5/15 + 4*v**4/3 + 15*v**3 + 7*v**2. Let c(k) be the first derivative of y(k). Solve c(f) = 0 for f.
-4, 2
Suppose -20*a - 10*a = -23970. Factor 4*j**4 + 1162*j - 521*j + a*j + 328*j**2 - 1728 + 44*j**2 - 47*j**3 - 41*j**3.
4*(j - 12)**2*(j - 1)*(j + 3)
Factor -690*f + 1699*f**2 + 31 + 142 + 512 - 1694*f**2.
5*(f - 137)*(f - 1)
Let p(y) = 5*y**2 + 6*y - 3. Let f be p(10). Let r = f - 533. Factor 7/4*b**4 + 4 + 11*b**3 + 20*b + r*b**2.
(b + 2)**3*(7*b + 2)/4
Factor -2/9*f**4 + 0 - 14/9*f**3 + 14/9*f + 2/9*f**2.
-2*f*(f - 1)*(f + 1)*(f + 7)/9
Let i(x) be the third derivative of x**6/50 - 47*x**5/100 - 31*x**4/10 - 14*x**3/5 - 1241*x**2. Factor i(y).
3*(y - 14)*(y + 2)*(4*y + 1)/5
Find m such that 9/5*m**4 + 360 - 232/5*m**3 + 1662*m + 893/5*m**2 = 0.
-4, -2/9, 15
Let q(f) = 52*f**3 - 17380*f**2 + 34644*f - 17316. Let h(g) = -4*g**3 + 1337*g**2 - 2665*g + 1332. Let n(j) = 40*h(j) + 3*q(j). Factor n(v).
-4*(v - 333)*(v - 1)**2
Let b(t) be the second derivative of 3*t**5/20 + 21*t**4 + 1269*t**3/2 + 8019*t**2 - 5*t + 87. Let b(u) = 0. Calculate u.
-66, -9
Let -2/11*z**3 - 1058/11*z - 224/11*z**2 + 1284/11 = 0. What is z?
-107, -6, 1
Let d be ((-28)/(-7))/((-2)/(-8)). Determine o, given that -d*o + 9 - 4*o**2 - 9 + 4*o**3 + 8*o = 0.
-1, 0, 2
Suppose 0 = 4*n - l - 23, -3*l - 17 + 20 = 0. Let z(s) be the second derivative of -5/2*s**3 - 3*s + 0 - 1/4*s**4 - n*s**2. Factor z(u).
-3*(u + 1)*(u + 4)
Let z(o) be the first derivative of 2*o**3/39 - 32*o**2/13 + 1479. Factor z(c).
2*c*(c - 32)/13
Factor -1/8*f**5 - 19/2*f**3 + 23/8*f**4 - 2*f**2 + 40*f - 38.
-(f - 19)*(f - 2)**3*(f + 2)/8
Let s(g) = -11*g**2 - 96*g - 3896. Let q(h) = 7*h**2 + 69*h + 2597. Let u(d) = -8*q(d) - 5*s(d). Factor u(y).
-(y + 36)**2
Let b(z) = -z**2 - 342*z + 81650. Let r be b(-504). Factor 4/3*d**3 - 44/3*d**r + 80/3*d + 128/3.
4*(d - 8)*(d - 4)*(d + 1)/3
Let a(s) = -5*s**3 + 682*s**2 + 7479*s + 18992. Let r(t) = -10*t**3 + 1371*t**2 + 14957*t + 37986. Let k(o) = 7*a(o) - 4*r(o). Determine w so that k(w) = 0.
-5, 152
Let w(q) be the first derivative of -5*q**4 + 1835*q**3/3 - 680*q**2 - 455*q - 483. Factor w(o).
-5*(o - 91)*(o - 1)*(4*o + 1)
Let z be (121/66)/(-11)*91. Let v = z + 833/30. Factor -3*j - v*j**2 - 1/5 - 49/5*j**3.
-(j + 1)*(7*j + 1)**2/5
Factor 31/4*i**2 + 9/2 - 99/4*i.
(i - 3)*(31*i - 6)/4
Let l(k) = -k**3 - 4*k**2 - 15*k - 19. Let q be l(-2). Let w(n) be the first derivative of 16 - 1/8*n**q - 21/8*n - 3/2*n**2. Factor w(v).
-3*(v + 1)*(v + 7)/8
Let t(f) be the first derivative of 151959*f + 12321/2*f**2 + 3/4*f**4 + 111*f**3 + 260. Let t(g) = 0. Calculate g.
-37
Let o(q) be the second derivative of q**7/168 + q**6/40 + 3*q**5/80 + q**4/48 + 5*q + 79. Solve o(y) = 0 for y.
-1, 0
Let t(x) be the third derivative of x**7/420 + x**6/24 + 4*x**5/15 + 2*x**4/3 + 2*x**2 - 3*x + 1. Factor t(v).
v*(v + 2)*(v + 4)**2/2
Let s(k) be the first derivative of 77 - 7/2*k**3 + 1/10*k**5 - 1/2*k**4 + 0*k**2 + 0*k. Factor s(w).
w**2*(w - 7)*(w + 3)/2
Let v = 57 + -937. Let m be (-24)/(-372) + v/(-775). Find n, given that 2*n**4 + 22/5*n**3 - 4/5 - m*n**2 - 22/5*n = 0.
-2, -1, -1/5, 1
Let i be (-120)/(-39600)*99 + -14*3/(-20). Solve 24/5*n**2 + 3/5*n**4 + 3*n**3 + i*n + 0 = 0 for n.
-2, -1, 0
Let a(g) = -5*g**2 - 14*g + 19. Let r = -231 - -234. Let m(p) = -4*p**2 - 13*p + 17. Let o(w) = r*a(w) - 4*m(w). Suppose o(h) = 0. Calculate h.
-11, 1
Let n(s) be the second derivative of s**6/10 - 3*s**5/4 - 2*s**4 + 6*s**3 + 2811*s. Suppose n(y) = 0. Calculate y.
-2, 0, 1, 6
Let s(j) be the second derivative of -j**6/30 - 13*j**5/4 - 63*j**4/4 - 187*j**3/6 - 31*j**2 + 165*j. Find r such that s(r) = 0.
-62, -1
Suppose -2*o**4 + 18*o**3 + 0*o + 54*o - 15169632*o**2 + 15169578*o**2 = 0. What is o?
0, 3
Let l(v) be the first derivative of 0*v - 2*v**3 - 3/4*v**4 + 0*v**2 + 5. Determine d, given that l(d) = 0.
-2, 0
Let y(k) = -k**4 + k**3 - k**2 - k + 1. Let j(w) = -12*w**4 + 26*w**3 - 58*w**2 + 54*w - 22. Let q be 8*(0 + 5/20). Let r(b) = q*j(b) - 20*y(b). Factor r(l).
-4*(l - 2)**4
Let v(l) = -95*l - 1136. Let m be v(-12). Let o(i) be the second derivative of -1/20*i**m - 11*i + 4/5*i**3 - 24/5*i**2 + 0. What is b in o(b) = 0?
4
Suppose 28*f - 12 = 24*f. What is k in 0*k - 19*k + f*k - 16 + 12*k**2 + 4*k**4 + 16*k**3 = 0?
-2, -1, 1
Let x be (2/(-20))/((-5)/(-180))*67/(-201). Let -x*l**3 + 66/5*l + 0 + 12*l**2 = 0. Calculate l.
-1, 0, 11
Let j(q) be the first derivative of 0*q + 65 + 2/21*q**3 - 10/7*q**2. Factor j(z).
2*z*(z - 10)/7
Let -354*g**3 + 8*g + 81*g**4 + 30*g**2 - 210*g**2 - 13*g - 261*g**4 - 27*g**5 - 22*g = 0. Calculate g.
-3, -1/3, 0
Let x(r) = -7*r**5 - 38*r**4 - 189*r**3 + 222*r**2 - 12*r. Let y(b) = -b**5 + b**4 - 2*b**2 - 2*b. Let d(k) = x(k) - 6*y(k). Factor d(j).
-j**2*(j - 1)*(j + 6)*(j + 39)
Factor -76*b**2 - 1/4*b**4 + 204*b + 31/4*b**3 + 288.
-(b - 12)**2*(b - 8)*(b + 1)/4
Suppose 85*u**3 - 365*u**2 + 65*u**4 + 103*u**5 - 250*u - 28*u**5 + 120 - 35*u**5 - 55*u**5 = 0. What is u?
-2, -1, 1/3, 3, 4
Let o(s) be the first derivative of s**3/5 - 75*s**2/2 + 584. Determine t so that o(t) = 0.
0, 125
Let 0 + 5054/9*v - 418/3*v**2 - 2/9*v**4 + 10*v**3 = 0. What is v?
0, 7, 19
Let u(w) = 22*w**3 + 252*w**2 - 640*w + 135. Let o(x) = 64*x**3 + 756*x**2 - 1920*x + 408. Let z(s) = 3*o(s) - 8*u(s). Determine k so that z(k) = 0.
-18, 1/4, 2
Let g(k) = -k**3 + 5*k**2 - 5*k + 4. Let o be g(2). Solve -o*l**2 - 2*l**3 + 13*l - 25 + 35*l - 31 = 0.
-7, 2
Suppose 5*l = -8*l + 52. Factor -26*k**4 + 82*k**4 - 26*k**l - 26*k**4 - 8*k**2 + 14*k**3.
2*k**2*(k + 4)*(2*k - 1)
Factor 8*j**2 + 2/5*j**3 + 72 + 222/5*j