m - 2)*(m + 1)
Let v(k) be the first derivative of k**4/90 + k**3/45 - 2*k**2/5 + 15*k - 59. Let a(s) be the first derivative of v(s). Factor a(f).
2*(f - 2)*(f + 3)/15
Let q(h) be the second derivative of h**5/100 - 61*h**4/60 - 128*h**3/15 - 26*h**2 - 1268*h. Factor q(p).
(p - 65)*(p + 2)**2/5
Let g(s) = 17*s**2 - 80*s - 303. Let d(b) = 53*b**2 - 240*b - 912. Let a(r) = -6*d(r) + 19*g(r). Let a(t) = 0. Calculate t.
-3, 19
Let h be -9*1/(-12) + (-1194)/(-8). Let y = h - 3148/21. Find s such that -y*s - 2/21*s**2 + 0 = 0.
-1, 0
Factor 736*a**2 + 2*a**3 + 98 + 734*a + 41 - 139.
2*a*(a + 1)*(a + 367)
Let y(o) be the third derivative of o + 11*o**2 + 0*o**3 - 1/30*o**6 + 2/15*o**5 + 1/84*o**8 + 0 - 4/105*o**7 + 0*o**4. Factor y(x).
4*x**2*(x - 2)*(x - 1)*(x + 1)
Let j(b) = b**3 - b**2 - 2*b + 1. Let a(u) = -5*u**3 - 17*u**2 - 28*u + 32. Let s(d) = -a(d) - 4*j(d). Let r be s(-19). Factor -3/7*l**r - 6/7*l + 3/7*l**3 + 0.
3*l*(l - 2)*(l + 1)/7
Find k, given that -180/13*k**4 + 1408/13*k - 344/13*k**3 - 2/13*k**5 + 720/13*k**2 + 0 = 0.
-88, -2, 0, 2
Let x be 9309/45 + 12/90. Let s be 1*(x/(-45) - -5). Factor s*z**2 + 4/5 + 6/5*z.
2*(z + 1)*(z + 2)/5
Let x(r) be the second derivative of -r**7/189 + 16*r**6/135 - 17*r**5/30 + 2*r**4/3 - 1263*r. Let x(d) = 0. Calculate d.
0, 1, 3, 12
Suppose -5 - 15 = -2*w. Let u be 111/15 + 18/30. What is a in 4*a**4 + w*a**2 - 5*a**5 - 22*a**4 + u*a**4 + 5*a**3 = 0?
-2, -1, 0, 1
Let j be 4446282/255 + 6/10. Factor -17437*z + z**4 - 6*z**3 + j*z.
z**3*(z - 6)
Suppose 579*m + 3/8*m**2 + 0 = 0. Calculate m.
-1544, 0
Let z(b) = -11*b**2 - 125*b - 32. Let k be z(-11). Let q(c) be the first derivative of 13/24*c**3 + 3/4*c**2 + 1/2*c + 1/40*c**5 + k + 3/16*c**4. Factor q(x).
(x + 1)**2*(x + 2)**2/8
Let m = -128601/2 + 64301. Factor -1/4*f**2 - m*f + 1/4*f**3 + 0.
f*(f - 2)*(f + 1)/4
Let n = -184880 + 739565/4. Find z such that -n*z**2 - 3/4*z**3 + 54*z - 57 = 0.
-19, 2
Let f = 137 + -135. Factor 6*o**f + 4*o**2 - 560*o + 21093 - 1493 - 2*o**2 - 4*o**2.
4*(o - 70)**2
Let -11390*a - 81971 - 2*a**3 + 322*a**2 - 37915 - 10164 = 0. What is a?
-9, 85
Factor -4/5*f**2 - 336 - 356/5*f.
-4*(f + 5)*(f + 84)/5
Suppose 122 + 46 = -4*u. Let p be (-450)/u + (-8)/(-28). Factor -l**3 - p - 4 - 12*l**2 - 9*l**2 + 4*l**3 + 33*l.
3*(l - 5)*(l - 1)**2
Let u(l) be the second derivative of l**6/6 - 7*l**5/4 - 65*l**4/12 + 215*l**3/6 - 60*l**2 + 138*l. Find c such that u(c) = 0.
-3, 1, 8
Let d(m) be the third derivative of 108*m**7/175 + 7773*m**6/25 + 6708097*m**5/150 - 62184*m**4/5 + 6912*m**3/5 - 1427*m**2. Factor d(v).
2*(v + 144)**2*(18*v - 1)**2/5
Let c = 4699/7044 - 1/2348. Let s(z) be the second derivative of -2*z**2 - 2*z + 5/3*z**3 - c*z**4 + 1/10*z**5 + 0. Factor s(n).
2*(n - 2)*(n - 1)**2
Let n(s) be the first derivative of -s**6/450 - 3*s**5/50 - 7*s**4/15 + 17*s**3/3 + 281. Let x(o) be the third derivative of n(o). Determine l so that x(l) = 0.
-7, -2
Let q = -69 + 71. Let y be 15/(-6) + 3 + 9/q. Let o(i) = 4*i**2 + 16*i - 2. Let t(h) = 8*h**2 + 32*h - 5. Let n(d) = y*o(d) - 2*t(d). Factor n(w).
4*w*(w + 4)
Factor 12168 + 1770*r**2 - 34/3*r**3 - 69264*r.
-2*(r - 78)**2*(17*r - 3)/3
Let y = -15 + 28. Let z = 15 - y. Find j such that 9*j**z + 7*j**2 - 17*j**2 = 0.
0
Let c(h) be the second derivative of -4*h**6/25 + 47*h**5/50 - 7*h**4/6 + 2*h**3/5 - 167*h + 3. Let c(i) = 0. What is i?
0, 1/4, 2/3, 3
Let w(j) be the second derivative of 5 - 7/150*j**6 + 0*j**2 + 13/50*j**5 - 4/15*j**3 + 10*j - 1/3*j**4. Factor w(l).
-l*(l - 2)**2*(7*l + 2)/5
Let n(b) be the first derivative of 5*b**4/4 + 640*b**3/3 - 1295*b**2/2 + 650*b + 2427. Factor n(t).
5*(t - 1)**2*(t + 130)
Let v(w) = 5*w**3 - 454*w**2 + 851*w - 420. Let n(h) = 5*h**3 - 458*h**2 + 852*h - 420. Let t(r) = 6*n(r) - 7*v(r). Factor t(i).
-5*(i - 84)*(i - 1)**2
Let j(h) = 274*h**2 + 506*h - 64009. Let m(u) = -219*u**2 - 506*u + 64009. Let a(c) = -4*j(c) - 5*m(c). Let a(s) = 0. Calculate s.
253
Let y(u) be the second derivative of 3*u**5/140 - 9*u**4/4 + 105*u**3/2 + 3675*u**2/2 - 2*u - 142. Factor y(c).
3*(c - 35)**2*(c + 7)/7
Let m(r) be the first derivative of -4*r + 1/2*r**2 + 4/3*r**3 - 110 - 1/4*r**4. Factor m(x).
-(x - 4)*(x - 1)*(x + 1)
Determine k, given that 25 + 75/2*k - 1/2*k**4 + 23/2*k**2 - 3/2*k**3 = 0.
-5, -2, -1, 5
Suppose 59*n = -363*n. Let u(j) be the second derivative of 0*j**2 - 40*j + 1/6*j**4 + n - 2/3*j**3. Factor u(w).
2*w*(w - 2)
Suppose -4*f = 7 - 19. Let x = 3570 - 3566. Solve f*j**2 - j + 11*j**4 - 4*j**x - 2 - 5*j**4 - 3*j**4 + j**3 = 0 for j.
-1, 1, 2
Let u(c) be the third derivative of -c**8/2352 - c**7/210 - 2*c**6/105 - c**5/35 - 968*c**2. Determine k, given that u(k) = 0.
-3, -2, 0
Let p = 0 + 3. Let c(h) = -h**3 - 9*h**2 + 10*h + 54. Let k be c(-11). Factor -201*v**4 - 5*v + k*v**4 + p*v - 3*v + 5*v**3 + 15*v**2.
-5*v*(v - 1)*(v + 1)*(3*v - 1)
Let n(f) be the first derivative of f**3/8 + 48*f**2 - 4502. Factor n(d).
3*d*(d + 256)/8
Let b(m) be the first derivative of -40/13*m + 5/39*m**6 - 149 + 46/65*m**5 + 76/13*m**2 - 118/39*m**3 - 25/26*m**4. Find f, given that b(f) = 0.
-5, -2, 2/5, 1
Let c(a) = -16*a**2 - 16*a - 20. Suppose -18*r + 21 = -69. Let h(j) = -19*j**2 - 15*j - 20. Let t(i) = r*h(i) - 6*c(i). Determine y, given that t(y) = 0.
-20, -1
Suppose d - 2 = 2*v, 109*d = v + 111*d - 14. Factor 0 - 2/13*y**3 + 0*y - 10/13*y**v.
-2*y**2*(y + 5)/13
Suppose -3*m = 3*p - 30, -5*p + 2*m + 26 = m. Let p*h**3 - 17*h**2 - 44*h + 36*h + 0*h**2 + 4 + 11 = 0. Calculate h.
-1, 5/6, 3
Let h be 0/((8 - 4)/4). Suppose -5*x + 9 + 6 = h. Let 2*d**3 + 3*d**4 - 6*d**5 - x - 2*d**2 + 7*d**5 + 2 - 3*d + 0*d**4 = 0. Calculate d.
-1, 1
Let l(y) be the first derivative of -y**9/6048 - y**8/480 - 11*y**7/1680 - y**6/144 - 26*y**3 - 232. Let n(s) be the third derivative of l(s). Factor n(j).
-j**2*(j + 1)**2*(j + 5)/2
Let c(v) = 3*v**4 - 2*v**3 - 2. Let k(f) = f**5 - 18*f**4 + 211*f**3 - 543*f**2 + 450*f - 10. Let u(q) = 15*c(q) - 3*k(q). Find h, given that u(h) = 0.
0, 2, 3, 25
Let q(g) be the first derivative of -g**4 + 20*g**3/3 + 52*g**2 - 480*g - 4525. Determine c, given that q(c) = 0.
-5, 4, 6
Suppose 0 = -p + 5*q - 1, -12*p + 9*p - 2*q = 20. Let b be ((-10)/2)/(p - (-9 - -6)). Let -25/3*k**4 - 10/3*k - b*k**5 - 35/3*k**2 + 0 - 15*k**3 = 0. What is k?
-2, -1, 0
Let q be -178 + 156 + (-356)/(-8). What is i in -30*i**2 + q*i + 15*i**3 - 6 + 0*i**4 - 3/2*i**5 = 0?
-4, 1
Determine h, given that 0*h + 3/2*h**2 - 507/2 = 0.
-13, 13
Let r(a) be the third derivative of -a**6/160 - 27*a**5/80 - 45*a**4/8 - 81*a**3/2 + 13411*a**2. Factor r(x).
-3*(x + 3)*(x + 6)*(x + 18)/4
Let w(d) be the first derivative of -d**6/72 - 3*d**5/4 - 135*d**4/8 - 6*d**3 + 52. Let o(z) be the third derivative of w(z). Factor o(a).
-5*(a + 9)**2
Let v(x) = -x**4 + 2*x**3 - x - 1. Let f(w) = 5*w**4 - 55*w**3 + 91*w**2 + 49*w - 84. Let l(s) = -f(s) - 6*v(s). Let l(n) = 0. Calculate n.
-45, -1, 1, 2
Let g be (-31)/(124/84)*-1*12/196. Solve -g*t + 6/7 + 3/7*t**2 = 0.
1, 2
Let u(s) be the first derivative of 5*s**4/4 + 185*s**3/3 + 975*s**2/2 + 1395*s + 787. Factor u(o).
5*(o + 3)**2*(o + 31)
Let l(z) be the third derivative of -z**6/360 - z**5/30 + 2*z**4/9 - 216*z**2. Suppose l(c) = 0. What is c?
-8, 0, 2
Factor -4/3*v**2 - 136/3*v + 148.
-4*(v - 3)*(v + 37)/3
Let q(x) be the third derivative of 0*x**3 + 0*x + 11/60*x**6 + 7/3*x**4 + 2 - 124*x**2 - 16/15*x**5 - 1/105*x**7. Determine n so that q(n) = 0.
0, 2, 7
Let d be -3 - 8/(32/(-28)). Let -10*i + 13*i**d + 10*i**3 - 22*i**2 - 24*i**3 - 15*i**4 = 0. What is i?
-5, -1, 0
Determine a so that 8*a**5 + 827*a**3 - 3*a**5 + 29*a**2 - 256*a - 3*a**5 - 192 - 753*a**3 + 7*a**2 - 24*a**4 = 0.
-1, 4, 6
Let k(d) be the third derivative of d**8/5040 + d**7/1260 - d**6/15 + 11*d**5/12 - 10*d**2. Let n(z) be the third derivative of k(z). Find r such that n(r) = 0.
-4, 3
Let c = -83785 + 83788. Let -3*w**2 + 6/5 + 3/5*w - 3/5*w**c + 9/5*w**4 = 0. What is w?
-1, -2/3, 1
Let l(w) be the second derivative of 4913*w**6/150 - 37859*w**5/100 + 2091*w**4/5 - 2888*w**3/15 + 224*w**2/5 + 1436*w. Find i such that l(i) = 0.
4/17, 7
Let d(c) be the second derivative of c**4/4 + 205*c**3/2 - 309*c**2 + 1821*c. Factor d(m).
3*(m - 1)*(m + 206)
Solve -2/3*j**2 + 154/3*j + 