(z) = 0.
0, 2, 220
Suppose -2*w - 48 = -4*j, -19*w + 14*w - 40 = -2*j. Suppose -2*i - 3 - j*i - 29 - 8 - 2*i**2 - 6*i = 0. Calculate i.
-5, -4
Let y(j) be the second derivative of 3*j**5/100 - j**4/4 - 61*j**3/10 - 33*j**2/2 - 1174*j. Solve y(d) = 0 for d.
-5, -1, 11
Solve -75/2 - 1/4*w**2 + 77/4*w = 0.
2, 75
Let q(u) be the third derivative of -u**8/168 + u**7/21 + 23*u**6/20 + 23*u**5/30 - 142*u**4/3 - 176*u**3 - 758*u**2. What is h in q(h) = 0?
-4, -1, 3, 11
Let w(p) be the first derivative of 3*p**4/4 - 92*p**3 + 3654*p**2 - 42336*p - 243. Factor w(n).
3*(n - 42)**2*(n - 8)
Let u(m) = 9*m**3 + 35*m**2 - 1098*m - 1184. Let j(f) = -5*f**3 - 17*f**2 + 548*f + 596. Let b(s) = 5*j(s) + 3*u(s). Factor b(r).
2*(r - 13)*(r + 1)*(r + 22)
Let f(x) be the second derivative of x**6/600 + 29*x**5/200 - 73*x**3/6 + x**2/2 - 70*x. Let k(j) be the second derivative of f(j). Factor k(o).
3*o*(o + 29)/5
Let f = -183 - -183. Solve f - 3*w - 45*w**3 - 2*w**2 + 47*w**3 + w**5 - 1 + 3*w**4 = 0 for w.
-1, 1
Suppose -r = 2*r + 6*r. Suppose -3 + r = -3*h, -j + h = 7. Let s(c) = 8*c**2 - 8. Let l(w) = w**2 - w. Let u(k) = j*l(k) + s(k). Suppose u(n) = 0. What is n?
-4, 1
Let u(a) be the third derivative of a**7/11340 - a**6/540 + a**5/60 + a**4/24 + a**3/3 - 19*a**2 + 3. Let k(g) be the second derivative of u(g). Factor k(p).
2*(p - 3)**2/9
Let a = -377 + 388. Suppose -a*c + 14 = -4*c. Solve -6*q**c + 9/2 + 33/2*q = 0.
-1/4, 3
Suppose -728/9*s - 488/9 + 2/9*s**3 - 238/9*s**2 = 0. What is s?
-2, -1, 122
Let m(w) be the third derivative of 0*w - 18 + 0*w**4 + 3/140*w**7 + w**3 + 2*w**2 - 9/40*w**5 + 1/40*w**6. What is d in m(d) = 0?
-2, -2/3, 1
Let o = 257017 + -257017. Factor 2/9*n**2 + 2/9*n**3 + o*n - 2/9*n**5 - 2/9*n**4 + 0.
-2*n**2*(n - 1)*(n + 1)**2/9
Suppose 252*f - 587*f + 106 = -282*f. Factor -4/7*d + 0 + 4/7*d**f.
4*d*(d - 1)/7
Let f(r) = 3 + 4 + 7 - 6 + 14*r + 10*r**2. Let y = -13 - -8. Let i(x) = 11*x**2 + 15*x + 9. Let g(k) = y*f(k) + 4*i(k). Solve g(a) = 0.
-1, -2/3
Suppose 5*w - 8 = -5*x + 22, -2*w + 5*x - 16 = 0. Suppose 0*s = 3*s + 4*n - 21, -s - 3 = -w*n. Factor -1/6*l**s + 0*l**2 + 0 + 2/3*l.
-l*(l - 2)*(l + 2)/6
Let n be (-114)/14 - (-32)/224. Let x(m) = m**2 + 3*m - 40. Let j be x(n). Find b, given that -4/3*b**2 + 0*b**4 + j - 2/3*b**5 + 2*b**3 + 0*b = 0.
-2, 0, 1
Let z(t) be the second derivative of 3*t**5/80 - 25*t**4/8 + 47*t**3/8 + 147*t**2/4 - 1471*t. Factor z(c).
3*(c - 49)*(c - 2)*(c + 1)/4
Let f = -375 - -370. Let p be (-1 - f)*(-4 + 52/8). Solve -4 - 1/2*a**4 - p*a - 9*a**2 - 7/2*a**3 = 0 for a.
-2, -1
Let g(v) = v**3 + 20*v**2 - 1 + 9*v - 29*v**2 + 14 + 18*v**2. Let o be g(-8). Factor 45*i**2 - i**o - 4*i**5 - 5*i**4 - 40*i**2 + 5*i**3.
-5*i**2*(i - 1)*(i + 1)**2
Factor -8*y - 238 + 405*y + 33*y - 425*y**2 + 238 - 5*y**3.
-5*y*(y - 1)*(y + 86)
Let v(y) be the first derivative of -y**3/5 + 507*y**2/10 - 396*y - 997. Let v(l) = 0. What is l?
4, 165
Let c = 259 + -254. Find w, given that 210*w**3 - c*w**2 + 3*w**4 + 29*w - 34*w - 205*w**3 + 2 = 0.
-2, -1, 1/3, 1
Let v = -93/170 - -73/34. Let i = -70 - -73. Let v + 4/5*y + 4/5*y**5 + 8/5*y**4 - 8/5*y**i - 16/5*y**2 = 0. What is y?
-2, -1, 1
Let c be (3 + (-39)/15)/(23/115). Let 160*t - 5*t**4 + 100 - 20*t**2 - 42*t**2 - 50*t**3 + 77*t**c = 0. Calculate t.
-10, -1, 2
Let b(c) be the first derivative of -1/4*c**4 + 13 + 1/2*c**2 + 1/35*c**5 - 6/7*c + 5/21*c**3. Factor b(v).
(v - 6)*(v - 1)**2*(v + 1)/7
Find p, given that 0 - 3/7*p**4 + 6/7*p + 3/7*p**5 + 3/7*p**2 - 9/7*p**3 = 0.
-1, 0, 1, 2
Factor -3362/5 - 369*m + 81/5*m**3 + 1/5*m**4 + 1597/5*m**2.
(m - 2)*(m + 1)*(m + 41)**2/5
Let u = -7823 + 352037/45. Let y(g) be the second derivative of 11/45*g**3 - 1/150*g**5 + 0 + 2/5*g**2 + u*g**4 + 29*g. Factor y(r).
-2*(r - 6)*(r + 1)**2/15
Let w = 1453/2 + -39229/54. Let b(h) be the second derivative of w*h**4 - 1/9*h**3 - 1/45*h**6 + 1/45*h**5 + 1/189*h**7 + 0 + 1/9*h**2 + 18*h. Factor b(x).
2*(x - 1)**4*(x + 1)/9
Let o(f) be the third derivative of -f**5/100 + 7*f**4/40 + 2*f**2 - 611*f. Factor o(x).
-3*x*(x - 7)/5
Suppose 34*b - 654 = 617 - 1203. Find h such that -2/15*h**b - 44/15 - 26/15*h = 0.
-11, -2
Let s(m) be the third derivative of 1215*m**8/112 + 405*m**7/14 + 45*m**6/4 - 95*m**5/6 + 125*m**4/24 - 5*m**3/6 - 323*m**2. Factor s(f).
5*(f + 1)**2*(9*f - 1)**3
Suppose -5*o - 10 = -b + 4, -20 = -5*b. Let t be 3/(-1) + 1358 - o. Factor -2*q + 1369 + 4*q**2 - 14*q - t.
4*(q - 3)*(q - 1)
Let -94/9 - 98/9*n**2 - 190/9*n - 2/9*n**3 = 0. What is n?
-47, -1
Solve 0 + 1/2*g**3 + 115/2*g**2 + 0*g = 0.
-115, 0
Let l be 11458/170 - 9 - 38. Factor -27/5*k**3 + 0 + 24/5*k + l*k**2.
-3*k*(k - 4)*(9*k + 2)/5
Let d(c) = c**3 - 27*c**2 + 29*c - 75. Let t be d(26). Let b be 87/17 + t + (-21 - -13). Factor -2/17*a + b*a**2 - 4/17.
2*(a - 2)*(a + 1)/17
Let q(f) be the first derivative of f**6/3 - 18*f**5/5 - 6*f**4 + 40*f**3/3 + 1216. Find t such that q(t) = 0.
-2, 0, 1, 10
Let y(i) be the second derivative of -8*i**3 - 16*i**2 + 0 - 2*i**4 - 61*i - 1/5*i**5. Factor y(c).
-4*(c + 2)**3
Let f be (-4)/1*(-3)/54*27. Let n(u) be the third derivative of -f*u**2 + 0*u - 1/4*u**4 + 0 + 1/30*u**5 + 2/3*u**3. Factor n(y).
2*(y - 2)*(y - 1)
Let g(l) be the third derivative of l**7/630 - l**6/72 + l**5/30 + l**4/18 - 4*l**3/9 + 2*l**2 + 21. What is t in g(t) = 0?
-1, 2
Let k(b) be the third derivative of -b**7/630 + 3*b**6/4 - 405*b**5/4 + 34*b**2 + 45*b - 1. Solve k(q) = 0 for q.
0, 135
Let g(l) be the third derivative of -l**5/240 + 787*l**4/48 - 619369*l**3/24 + 5070*l**2. Factor g(c).
-(c - 787)**2/4
Suppose 0 = 1150*n - 1193*n + 172. Let p(k) be the first derivative of -1/20*k**n + 3/10*k**2 - 2/15*k**3 - 5 + 0*k. Let p(b) = 0. Calculate b.
-3, 0, 1
Let j = 177 - 112. Factor 41*l + 7*l**2 + j + 4*l - l**2 - l**2 + 25.
5*(l + 3)*(l + 6)
Let m(l) be the third derivative of l**6/60 - 1357*l**5/10 + 1841449*l**4/4 - 2498846293*l**3/3 - 101*l**2 + 2*l - 3. Solve m(s) = 0.
1357
Let d be (0 - -4)*2*-2. Let z = d - -48. Let -16*p + 0*p**3 - 22*p**3 - z*p**2 + 10*p**3 = 0. What is p?
-2, -2/3, 0
Suppose -240 = -40*g - 0*g. Let q be g/10*450/405. Suppose -q*d - 2/9*d**2 + 0 = 0. Calculate d.
-3, 0
Let s(t) = t**3 - 19*t**2 + 34*t + 2. Let x be s(17). Suppose 11*g**3 - 14*g**3 - g**4 - x*g**2 + 2*g**4 + 4*g**3 = 0. Calculate g.
-2, 0, 1
Let f(x) be the first derivative of -2*x**5/65 - 114*x**4/13 + 616*x**3/13 - 928*x**2/13 + 9275. Factor f(k).
-2*k*(k - 2)**2*(k + 232)/13
Let t(m) = 25*m + 776. Let q be t(-31). Let g be 7 + ((-7)/(98/86))/q. Factor 0 + 3/7*b**2 - g*b + 6/7*b**3 - 3/7*b**4.
-3*b*(b - 2)*(b - 1)*(b + 1)/7
Let j = 56 - 49. Factor 80*v + 1 - 86*v + v**2 + j.
(v - 4)*(v - 2)
Let a(i) = 3*i - 1. Let c be a(1). Suppose -2*j - 4 = -4*j. Suppose -9*v**2 + 5*v**j - 6*v + 6*v**c = 0. Calculate v.
0, 3
Let i = 77156 + -77154. Solve 1/2*l**i + 0 + 9/2*l = 0 for l.
-9, 0
Let h(j) be the first derivative of -159 - 2496/19*j**2 - 1/57*j**6 - 6*j**4 - 48/95*j**5 - 4608/19*j - 2144/57*j**3. Factor h(a).
-2*(a + 4)**3*(a + 6)**2/19
Let b(j) be the first derivative of -j**4/48 - j**3/4 - 5*j**2/8 - 28*j - 47. Let s(z) be the first derivative of b(z). Factor s(v).
-(v + 1)*(v + 5)/4
Let y(u) be the second derivative of 0*u**2 + 29*u - 4/3*u**3 + 5/2*u**5 + 0 + 1/3*u**4 - 5/6*u**6. Determine x so that y(x) = 0.
-2/5, 0, 2/5, 2
Let u(f) be the third derivative of 5 + 9/2*f**4 + 3/5*f**5 + 13*f**2 + 1/30*f**6 + 0*f + 18*f**3. Factor u(l).
4*(l + 3)**3
Suppose -5*l - 46 + 50 = -4*d, 0 = -3*l + 2*d + 4. Let j be (-119)/119*(-1)/l. Let 0*n - 3/4*n**2 + j*n**3 + 0 = 0. What is n?
0, 3
Let k be (-3 + 115/40)/(22/(-352)). Determine s, given that -14/11*s**4 + 6*s**3 + 0 + 20/11*s**k + 0*s = 0.
-2/7, 0, 5
Let y(o) be the first derivative of -32/3*o**3 + 10*o**2 - 3*o**4 + 36 + 24*o. Factor y(w).
-4*(w - 1)*(w + 3)*(3*w + 2)
Let h(u) be the second derivative of -u**7/112 - 37*u**6/20 - 327*u**5/40 - 71*u**4/16 + 437*u**3/16 + 435*u**2/8 + 34*u - 6. Determine r, given that h(r) = 0.
-145, -2, -1, 1
Let q(r) be the first derivative of 2*r**3/51 - 12*r**2/17 + 3588. Factor q(b).
2*b*(b - 12)/17
Let i(h) be the third derivative of 2*h**7/105 - h**6/15 - h**5 + 162*h**2 - 5. Factor i(m).
4*m**2*(m - 5)*(m + 3)
Let w(z) = z**2 - 2*z + 2. Le