 derivative of -q**8/2016 + q**7/180 - 11*q**6/720 + q**5/72 + 264*q**2. Factor o(u).
-u**2*(u - 5)*(u - 1)**2/6
Let m(i) be the third derivative of -i**7/420 - 73*i**6/240 + i**5/120 + 73*i**4/48 - 1109*i**2 - 2. Factor m(h).
-h*(h - 1)*(h + 1)*(h + 73)/2
Let g be -3 - (-7 - -7) - -6. Let r(k) be the first derivative of -8/7*k**2 - 20/7*k - 17 + 4/21*k**g. Factor r(x).
4*(x - 5)*(x + 1)/7
Let t(j) = -15*j**3 + 60*j**2 - 35*j - 330. Let y(w) = -13*w**3 + 58*w**2 - 36*w - 328. Let i(k) = 4*t(k) - 5*y(k). Factor i(g).
5*(g - 8)*(g - 4)*(g + 2)
Let w be (-80)/1080 + -6 + 38570/189. Determine y so that -w*y**5 + 2*y - 14*y**2 - 37/2*y**3 + 0 + 457/2*y**4 = 0.
-1/4, 0, 2/11, 2/9, 1
Factor 357/8*z + 3/8*z**2 + 0.
3*z*(z + 119)/8
Suppose -79 + f**2 + 2261*f + 215 - 2191*f = 0. Calculate f.
-68, -2
Let z = 296138 - 296135. Factor 9/5*i**z - 3/5*i**4 - 36/5*i + 0 + 12/5*i**2.
-3*i*(i - 3)*(i - 2)*(i + 2)/5
Let n be 52 - 55 - -37*3. Let v be (4/(-28))/(n/(-126)). Factor -v*x + 1/6*x**3 + 1/3 - 1/3*x**2.
(x - 2)*(x - 1)*(x + 1)/6
Let i(x) = -95 - 30*x**2 + 75*x + 60*x**2 - 20*x**2. Let f(w) = w**2 - 2*w - 1. Let b(l) = 5*f(l) - i(l). Solve b(t) = 0 for t.
-18, 1
Let x(a) = -62*a**5 + 38*a**4 - 64*a**3 + 10*a**2 - 12*a - 18. Let l(g) = -3*g**5 - g**3 - g - 1. Let h(k) = -18*l(k) + x(k). Determine p so that h(p) = 0.
-1/4, 0, 1, 3
Let b = 3808/2847 + -4/949. Let a(z) be the second derivative of -1/6*z**4 - 9*z - 1/30*z**5 + b*z**2 + 0 + 0*z**3. Factor a(y).
-2*(y - 1)*(y + 2)**2/3
Let b be 11 - (8 + 36/(-6)). Determine m so that -120*m - b*m**4 + 26*m**3 + 112*m - 8*m**2 - m**4 = 0.
-2/5, 0, 1, 2
Suppose 0 + 2/3*y**4 + 4*y**3 + 6*y**2 + 0*y = 0. What is y?
-3, 0
Let j(p) be the third derivative of 86*p**2 + 0*p + 0*p**3 + 1/3*p**6 + 0*p**4 + 1/42*p**7 + 0 - 3/4*p**5. Suppose j(w) = 0. Calculate w.
-9, 0, 1
Let j = 4859/7293 - -1/2431. Let m(b) be the third derivative of -2/15*b**5 - j*b**3 - 5/12*b**4 + 0 + 0*b - 1/60*b**6 - 15*b**2. Factor m(p).
-2*(p + 1)**2*(p + 2)
Let g(u) = u**2 + 18 + 5 - 57*u - 23. Let v(i) = 28*i. Let n(s) = -4*g(s) - 9*v(s). Factor n(o).
-4*o*(o + 6)
Suppose 5*r - 3*b = -67, -3*r - 15*b - 47 = -10*b. Let u be 2/14 - (-44)/r - -7. Find o, given that -1/3*o**3 + 0 + 0*o - 2*o**2 + 1/3*o**u = 0.
-2, 0, 3
Let m(f) = 307*f**2 + 21*f + 1. Let y be m(-2). Suppose y = -2*o + 1187. Suppose -2*b**3 + 6/5*b**4 + 4/5*b**2 + o*b + 0 = 0. What is b?
0, 2/3, 1
Let z(h) = -2*h**3 - 47*h**2 - 238*h - 385. Let b(u) = -6*u**3 - 140*u**2 - 714*u - 1156. Let j(t) = 5*b(t) - 14*z(t). Factor j(m).
-2*(m + 3)*(m + 5)*(m + 13)
Let d(i) = 5*i**3 + 166*i**2 - 541*i + 366. Let j(c) = c**2 - c + 1. Let p(h) = -d(h) - 4*j(h). Factor p(l).
-5*(l - 2)*(l - 1)*(l + 37)
Let f(q) be the second derivative of -4/15*q**5 + 0*q**4 + 0*q**2 + 0 - 23*q + 16/9*q**3 + 1/63*q**7 + 0*q**6. Factor f(j).
2*j*(j - 2)**2*(j + 2)**2/3
Suppose -33/4*w**2 + 1/4*w**3 - 35/2*w + 0 = 0. What is w?
-2, 0, 35
Let r(l) be the first derivative of -27 + 33/35*l**5 + 0*l + 27/28*l**4 + 2/7*l**6 + 1/7*l**3 - 3/14*l**2. Factor r(v).
3*v*(v + 1)**3*(4*v - 1)/7
Let d(a) be the second derivative of -a**5/80 - 395*a**4/48 + a**3/24 + 395*a**2/8 + 8092*a. Suppose d(m) = 0. Calculate m.
-395, -1, 1
Let j = 285 - -35. Let w = j - 317. Factor 0*c**2 - 1/3*c**4 + 1/3*c**w + 0*c + 0.
-c**3*(c - 1)/3
Let i(c) be the first derivative of 0*c**3 + 0*c - 11*c**2 + 7 + 1/96*c**4 + 1/240*c**5. Let m(r) be the second derivative of i(r). Factor m(x).
x*(x + 1)/4
Let k = -117 + 123. Let c(n) = 5*n**2 + 13*n + 22. Let h(v) = -5*v**2 - 14*v - 21. Let i(m) = k*c(m) + 7*h(m). Let i(b) = 0. Calculate b.
-3, -1
Let q = -3314 - -3319. Let g(b) be the third derivative of 2*b - b**2 + 1/120*b**q - 5/12*b**4 + 25/3*b**3 + 0. Factor g(z).
(z - 10)**2/2
Let d(k) = 142*k**2 - 138*k - 1. Let t be d(1). Suppose 10/11*u**t - 8/11 + 14/11*u**2 - 16/11*u = 0. Calculate u.
-2, -2/5, 1
Factor 3*a**4 + 228225*a**2 + 9*a**3 - 228329*a**2 - 109*a**3 + a**4.
4*a**2*(a - 26)*(a + 1)
Let w(v) = 3*v + 285. Let r be w(-95). Solve 0*h + 0*h**2 + r + 2/3*h**3 - 2/3*h**4 = 0 for h.
0, 1
Let l(c) be the third derivative of -112*c**2 + 1/330*c**5 + 0 - 1/132*c**4 + 1/660*c**6 + 0*c - 1/33*c**3. Let l(r) = 0. What is r?
-1, 1
Let a = 39 - 16. Suppose a*b - 726 + 53*b - 2*b**2 + 4 = 0. What is b?
19
Factor -8944/5*d - 5408/5 - 578/5*d**3 - 4114/5*d**2.
-2*(d + 1)*(17*d + 52)**2/5
Let j(l) be the first derivative of 49/2*l**2 + 8*l + 131 + 2*l**3. Factor j(d).
(d + 8)*(6*d + 1)
Let l(w) = 40*w**2 + 418*w + 185. Let z be l(-10). Let c(g) be the first derivative of 0*g + 31 - 1/20*g**z + 0*g**2 + 1/16*g**4 + 0*g**3. Factor c(h).
-h**3*(h - 1)/4
Suppose 3*i**3 + 2352 + 125*i**2 - 6*i**3 + 9*i**3 - 2*i**3 - i**2 + 1120*i = 0. Calculate i.
-14, -3
Let h(t) be the second derivative of t**7/42 + t**6/15 - 11*t**5/20 - 2*t**4/3 + 10*t**3/3 + 8*t**2 + 1134*t. What is j in h(j) = 0?
-4, -1, 2
Suppose -10 = 32*t - 34*t. Suppose -2*q + 89 = -0*q - 5*n, -5*q - t*n = -310. Solve -50*u - q*u + 131*u + 3*u**2 + 36 = 0.
-6, -2
Let m(y) be the third derivative of -y**6/30 + 19*y**5/5 - 178*y**4/3 + 200*y**3 + 4220*y**2. Suppose m(k) = 0. Calculate k.
1, 6, 50
Let v(b) = -b**3 - 209*b**2 - 155*b + 11026. Let y be v(-208). Find k such that -2/5*k - 2/15*k**y - 4/15 = 0.
-2, -1
Let w be 66*(6/108*6)/1. Let q(a) = -2*a**2 + 1. Let y(k) = -23*k**2 + 17*k - 5. Let m(i) = w*q(i) - 2*y(i). Determine n, given that m(n) = 0.
1, 16
Let k(t) be the third derivative of -t**8/1176 + 127*t**7/105 - 19891*t**6/42 + 295703*t**5/105 - 589633*t**4/84 + 196249*t**3/21 - 367*t**2. Factor k(i).
-2*(i - 443)**2*(i - 1)**3/7
Let l be 0/((1/3*(-7 + 5))/((-858)/(-2574))). Let a = -7 + 10. Find b such that -a*b + 3/7*b**2 + l = 0.
0, 7
Let v(u) be the third derivative of 20*u**2 - 1/420*u**6 - 1/70*u**5 + 1/21*u**4 + 0*u**3 + 0 - 3*u. Factor v(t).
-2*t*(t - 1)*(t + 4)/7
Let m be (-4323)/1440 + 275/110. Let y = -1/480 - m. Factor 5/2*q**4 + 2*q**2 + 0 - y*q**5 - 4*q**3 + 0*q.
-q**2*(q - 2)**2*(q - 1)/2
Let b(s) = -s**2 + 3*s + 1483. Let y be b(-37). Let m(l) be the second derivative of 0 + 5*l - 1/6*l**4 - 2*l**y - 5*l**2. Let m(n) = 0. What is n?
-5, -1
Let g(p) be the second derivative of 1/80*p**6 + 0*p**2 + 0*p**4 + 87*p + 0*p**3 + 3/80*p**5 + 0. What is v in g(v) = 0?
-2, 0
Let m be (-912785)/(-4109) - (1 + -36). Determine y, given that 2/7*y**2 + m - 120/7*y = 0.
30
Let s(z) be the first derivative of z**3/12 - 3*z**2/2 + 27*z/4 + 459. Factor s(n).
(n - 9)*(n - 3)/4
Let n(f) be the first derivative of 3*f**5/25 + 27*f**4/20 - 52*f**3/5 + 864. Factor n(q).
3*q**2*(q - 4)*(q + 13)/5
Let b = -101 - -96. Let k be (b/15)/(6/(324/(-33))). Suppose -k*p**4 + 4/11*p**3 + 6/11*p**2 + 0 - 4/11*p = 0. Calculate p.
-1, 0, 2/3, 1
Let k be (6 - (624/15)/4) + 5. Let z be (-1)/1*5*(-6)/50. Let k*c**4 - 3/5*c**5 + 0 + z*c**3 - 3/5*c**2 + 0*c = 0. Calculate c.
-1, 0, 1
Let x = -12748 + 76489/6. Let s(j) be the first derivative of 3/2*j**2 - 1/2*j**4 - 6 - 2/3*j**3 - j + 3/5*j**5 - x*j**6. Factor s(d).
-(d - 1)**4*(d + 1)
Let q = 9406 + -9397. Let f(m) be the first derivative of 0*m - 33/4*m**4 - q*m**5 + 8*m**3 + 6*m**2 - 26. Determine x, given that f(x) = 0.
-1, -2/5, 0, 2/3
Let c(u) = -22*u + 2. Let w be c(-3). Let o = -33 + w. Factor -1 - 3 - o*s + 4 - 5*s**2.
-5*s*(s + 7)
Let g(d) = -d**3 + 60*d**2 - 887*d - 103. Let o be g(27). Determine f, given that -388/9*f - 938/9*f**2 - 280/9*f**4 - 56/9 + 25/9*f**o - 911/9*f**3 = 0.
-1, -2/5, 14
Factor -21*k**3 - 605/6*k**2 + 0*k + 0 - 1/6*k**4.
-k**2*(k + 5)*(k + 121)/6
Let r be 18/(-144) - 25/(-8). Let p be (-8)/20 - 12/(-5). Factor -2*i**p - 3*i**r + 12*i + 5*i**2 - 4131 + 4119.
-3*(i - 2)*(i - 1)*(i + 2)
Let b(m) = 4*m**3 + m**2 + m + 1. Let j(u) = -14*u**5 + 472*u**4 + 1678*u**3 + 497*u**2 - 2059*u - 595. Let x(z) = 6*b(z) + 2*j(z). Solve x(i) = 0 for i.
-2, -2/7, 1, 37
Suppose 7521 = 5*j - a + 7530, -2*j - 2*a + 18 = 0. Let x(m) be the second derivative of 1/6*m**4 + 4/3*m**3 - 46*m + 0*m**2 + j. Factor x(r).
2*r*(r + 4)
Let j = -200 - -208. What is b in -7*b**2 + 18*b**3 + j - 41*b**3 + 6*b - b**4 + 17*b**3 = 0?
-4, -2, -1, 1
Let x(h) = -10*h + 13. Let y be x(1). Factor -2*j**y + 17 - 5 - 20 + 2*j**2 + 8*j.
-2*(j - 2)*(j - 1)*(j + 2)
Let u(x) be the