q) - 8*o(q). Solve k(r) = 0 for r.
-3, -1, 0, 1
Let y(z) be the second derivative of z**4/3 - 80*z**3/3 - 658*z**2 - 6416*z. Factor y(u).
4*(u - 47)*(u + 7)
Suppose 2*r - 3*m + 20 = m, 15 = -r + 3*m. Let i(k) = -k**2 - 2*k + 2. Let v be i(r). Let 134*b**2 + 3*b**4 - 2*b**4 - 135*b**v = 0. What is b?
-1, 0, 1
Let k(v) = -35*v**4 - 160*v**3 - 765*v**2 - 1040*v - 430. Let c(b) = -45*b**4 - 213*b**3 - 1020*b**2 - 1386*b - 573. Let h(p) = 10*c(p) - 13*k(p). Factor h(w).
5*(w - 14)*(w + 1)**2*(w + 2)
Let y = 26/9753 - -104006/9753. Factor 2/3*g**2 + y*g - 34/3.
2*(g - 1)*(g + 17)/3
Suppose 0 = -4*l + 2*k, l + k - 23 = -8. Factor l - 1/4*y**2 - 2*y.
-(y - 2)*(y + 10)/4
Let c(s) = s**2 + 13*s**2 + 11 - 3*s**2 - 23*s + 3*s**2. Let h be 4 + 6/(-3) - -2. Let w(d) = -5*d**2 + 8*d - 4. Let f(a) = h*c(a) + 11*w(a). Factor f(o).
o*(o - 4)
Factor -3218878*f**4 - 199*f**3 - 755*f**3 + 1917*f**2 + 3218875*f**4 - 960*f.
-3*f*(f - 1)**2*(f + 320)
Determine q, given that 0 - 6*q**5 - 270*q**2 + 15/2*q**3 + 135/2*q**4 + 66*q = 0.
-2, 0, 1/4, 2, 11
Let f = 172941/20 - 8647. Let x(b) be the second derivative of 1/8*b**2 - 23*b + f*b**5 + 0 + 3/16*b**4 + 1/4*b**3. Find i such that x(i) = 0.
-1, -1/4
Let g(h) be the first derivative of -h**4/6 + 68*h**3/9 + 281*h**2/3 + 164*h - 4613. Factor g(w).
-2*(w - 41)*(w + 1)*(w + 6)/3
Let z(b) be the first derivative of 2*b**6/15 - 3*b**5 + 61*b**4/3 - 14*b**3 - 196*b**2 + 142*b + 143. Let h(a) be the first derivative of z(a). Factor h(u).
4*(u - 7)**2*(u - 2)*(u + 1)
Suppose -41 + 139 = 7*b. Let o(x) = -74*x**2 + 54*x + 6. Suppose 0 = -4*i - 4 - 8. Let v(p) = -15*p**2 + 11*p + 1. Let t(s) = b*v(s) + i*o(s). Factor t(q).
4*(q - 1)*(3*q + 1)
Suppose -35*a + 24*a + 1199 = 0. Suppose 56*b**2 + 5*b**2 + 1152 - 66*b**2 + a*b**2 + 4*b**3 + 768*b = 0. What is b?
-12, -2
Let j be (0 + 1 - (-13)/(-15)) + 1448/70590. Let s(c) be the first derivative of -10/39*c**3 - j*c**2 + 3/26*c**4 + 0*c + 33. Factor s(v).
2*v*(v - 2)*(3*v + 1)/13
Let x = -43/45 + 851/90. Find y, given that 9 - 1/2*y**2 - x*y = 0.
-18, 1
Let o(x) be the third derivative of x**9/12096 - x**8/2016 + 3*x**5/20 + x**4/8 - 4*x**2 - 3*x. Let b(j) be the third derivative of o(j). Factor b(t).
5*t**2*(t - 2)
Let l(v) = -v**2 - 17*v + 1494. Let w be l(-32). Let o(k) be the first derivative of -9 + 702*k**2 + 216*k + w*k**3 + 2197/4*k**4. What is q in o(q) = 0?
-6/13
Let p = 437803 - 437801. What is b in -11/2*b - 9/2*b**p + 5 + 11/2*b**3 - 1/2*b**4 = 0?
-1, 1, 10
Suppose m - 5*m - 2 = 5*q, q - 3*m = 11. Let t be (4 - (-50)/(-12))*q*-66. Let t*u - 2*u - 3*u**2 - 17 + 2 - 2*u**2 = 0. Calculate u.
1, 3
Let a be (-189)/135 + (-435)/(-25). Factor 0 - 96*z + a*z**2 - 2/3*z**3.
-2*z*(z - 12)**2/3
Determine r, given that 0 - 180*r**2 + 530/3*r**3 + 5/3*r**5 - 535/3*r + 180*r**4 = 0.
-107, -1, 0, 1
Find f, given that 24*f**2 + 2430 - 513*f + 1/3*f**3 = 0.
-90, 9
Let l(m) be the third derivative of 0*m**3 + m**2 + 1/510*m**6 - 46*m - 5/102*m**4 - 19/510*m**5 + 0. Factor l(o).
2*o*(o - 10)*(2*o + 1)/17
Let p(i) = -2*i**2 - 17*i - 16. Let y be p(-7). Determine g so that 0*g**2 - 3*g**2 + 11*g - y*g + 0*g**2 = 0.
0, 2
Let s = 142472 + -142468. Factor 388/7*v**2 + 100/7*v**5 + 16/7 + 380/7*v**s + 128/7*v + 556/7*v**3.
4*(v + 1)**3*(5*v + 2)**2/7
Suppose 4*h = 4*p - 0*p - 868, 5*p = -3*h + 1061. Determine g, given that p*g + 2*g**2 + g**2 - 211*g = 0.
-1, 0
Let d(r) be the third derivative of -r**8/6720 - r**7/840 - r**6/240 + 16*r**5/15 - 2*r**2 - 23. Let g(p) be the third derivative of d(p). Factor g(w).
-3*(w + 1)**2
Let h(i) be the first derivative of 2*i**3/69 - 797*i**2/23 + 3180*i/23 - 3484. Determine r so that h(r) = 0.
2, 795
Let k = -203 + 210. Suppose i - 23 = -4*m, m - 5*m = -5*i - 5. Factor -3*v**i + 4*v**2 - 3 + 3 - k*v**2.
-3*v**2*(v + 1)
Determine g so that -156/5*g**2 - 4/5*g**3 - 6804/5 - 1836/5*g = 0.
-21, -9
Let v(s) = -s**4 - s + 1. Let u = 49 + -5. Let q(c) = 16*c**4 - 16*c**3 + 18*c**2 + 3*c - 10. Let j(p) = u*v(p) + 4*q(p). Factor j(d).
4*(d - 1)**3*(5*d - 1)
Let j be 5 + 1 + -1*3. Suppose -4*l - 5*d + 97 = 14, 0 = -3*l + 3*d + 96. Factor 34*f**3 - 3 - 31*f**j + 84 + 81*f + l*f**2.
3*(f + 3)**3
Let s(v) = 20*v**3 + 47*v**2 - 263*v + 7. Let z(q) = 32*q**3 + 71*q**2 - 395*q + 10. Let p(r) = 10*s(r) - 7*z(r). Suppose p(k) = 0. Calculate k.
-3, 0, 15/8
Let u(v) be the second derivative of 3/40*v**6 + 8/3*v**3 - 3/2*v**2 - 41/48*v**4 - 1/4*v**5 + 3*v - 1. Let u(k) = 0. Calculate k.
-2, 2/9, 1, 3
Suppose -4*i = 4, 34*w - 18 = 29*w + 3*i. Let m(j) be the first derivative of -27 + 1/4*j**2 - 1/30*j**w + 0*j. Factor m(k).
-k*(k - 5)/10
Suppose 11*f + 3*a = 27 + 25, -5*f - 2*a + 30 = 0. Solve 12/5 + 4/5*h**3 + 28/5*h + 4*h**f = 0.
-3, -1
Let f = 6859/651 + 455/93. What is c in -144/7*c + f*c**5 - 396/7*c**3 - 428/7*c**2 - 16/7 + 108/7*c**4 = 0?
-2, -1/3, 2
Suppose -16552*p + 2527605 + 34407*p - 24965*p - 2*p**2 + 7*p**2 = 0. Calculate p.
711
Suppose -20*u + 16 = 4*s - 18*u, -16*s - 5*u = -94. Determine p so that -39/2*p**2 + 18*p + s*p**3 - 6 - 3/2*p**4 = 0.
1, 2
Let l(w) = -3*w**3 + 2*w**2 + 5*w + 3. Let b be l(-1). Find t, given that -129*t**b + 124*t**3 + 4*t + t = 0.
-1, 0, 1
Let f be (-575)/(-1725) - (8/6 - 1). Factor 0 + n**4 + f*n + 1/2*n**5 + 0*n**2 - 3/2*n**3.
n**3*(n - 1)*(n + 3)/2
Let m(b) be the third derivative of b**6/60 - 4*b**5/3 + 413*b**4/12 - 1274*b**3/3 - 1898*b**2. Find u, given that m(u) = 0.
7, 26
Let k(i) be the third derivative of i**5/30 - 29*i**4/6 - 40*i**3 + 196*i**2. Factor k(b).
2*(b - 60)*(b + 2)
Suppose 3*v - 2*q = -18, -1026*v - 4*q = -1023*v - 72. Let -72/7*j + 4/7*j**5 - 228/7*j**2 + 226/7*j**3 - 55/7*j**v + 0 = 0. What is j?
-1/4, 0, 2, 6
Let y(b) = 4*b**3 + 34*b**2 - 202*b + 367. Let k(c) = c**3 + 12*c**2 - 69*c + 122. Let t(x) = -7*k(x) + 2*y(x). What is l in t(l) = 0?
3, 5, 8
Factor -72*b + 860*b**2 + 867*b**2 - 1729*b**2 - 136.
-2*(b + 2)*(b + 34)
Factor 47*o**2 + 5*o**2 - 10*o - 2*o**3 + 58*o**2 + 3096 - 241*o - 853*o.
-2*(o - 43)*(o - 6)**2
Let b(x) be the first derivative of 2*x**5/55 + 94*x**4/11 - 380*x**3/33 - 188*x**2/11 + 378*x/11 - 7115. Solve b(m) = 0 for m.
-189, -1, 1
Let v be 42/2205*-14*2/(-4). Find p, given that 14/5 - v*p**4 + 4/3*p - 8/3*p**2 - 4/3*p**3 = 0.
-7, -3, -1, 1
Let r(k) be the second derivative of 1/315*k**7 - 1/50*k**5 + 0*k**3 + 0*k**2 - 27*k - 1 - 4/225*k**6 + 1/5*k**4. Factor r(h).
2*h**2*(h - 3)**2*(h + 2)/15
Let c(u) be the third derivative of 19/12*u**4 + 0*u + 46/3*u**3 - 1/15*u**5 - u**2 - 5. Determine w, given that c(w) = 0.
-2, 23/2
Factor 124/3 + 1/3*c**4 - 125/3*c**2 - 41*c**3 + 41*c.
(c - 124)*(c - 1)*(c + 1)**2/3
Let i be ((-29 - -43) + -16)/(-1). Let 16/3 + 20*v - 8/3*v**4 + 4*v**3 + 64/3*v**i = 0. Calculate v.
-1, -1/2, 4
Let v(n) be the second derivative of -n**7/2520 + 11*n**6/180 - 121*n**5/30 - 79*n**4/12 - 28*n. Let z(b) be the third derivative of v(b). Factor z(h).
-(h - 22)**2
Suppose -5*l = 2*t - t - 50, 0 = 3*l + 2*t - 23. Let f = 16 - l. Find q, given that -13*q**3 - f*q**5 + 15*q**3 + 6*q**5 + 2*q**4 + q**4 = 0.
-2, -1, 0
Let v(k) be the first derivative of 3/8*k**2 - 1/16*k**4 + 0*k**3 - 66 + 1/2*k. Let v(i) = 0. What is i?
-1, 2
Suppose 144 = 57*r + 30. Let x(o) be the second derivative of 0*o**3 + 12*o + 1/20*o**5 + 0*o**4 + 1/90*o**6 + 0 + 0*o**r. Factor x(b).
b**3*(b + 3)/3
Factor 338/5*k + 2/5*k**2 - 68.
2*(k - 1)*(k + 170)/5
Let f(x) = 135*x + 1590. Let u(j) = j**2 + j - 1. Let y = -39 - -38. Let c(p) = y*f(p) - 3*u(p). Suppose c(z) = 0. Calculate z.
-23
Let r(i) = -i**2 + 8*i - 2. Let q be r(6). Let b(h) = 15 - 413*h + 407*h - 16 + 2*h**2. Let o(g) = 1. Let p(y) = q*o(y) + 2*b(y). Factor p(x).
4*(x - 2)*(x - 1)
Let p(a) be the first derivative of -4/3*a**3 + 0*a - 98 + 12*a**2. Factor p(m).
-4*m*(m - 6)
Let b(h) be the third derivative of -h**6/24 - 61*h**5/12 + 435*h**2. Solve b(s) = 0 for s.
-61, 0
Let x(z) = -10*z**3 + 236*z**2 - 960*z + 252. Let b(a) = 19*a**3 - 474*a**2 + 1920*a - 503. Let h(n) = 4*b(n) + 9*x(n). Solve h(m) = 0 for m.
2/7, 8
Let c be 4*(1/(-6))/(218/(-981)). Let w(q) be the third derivative of 0*q + 11*q**2 - 5/12*q**4 + 1/12*q**5 + 5/6*q**c + 0. What is h in w(h) = 0?
1
Let w = -261381349157/1160 + 225328766. Let c = w - -17/232. Factor -207/5*h**