 of -v**6/280 - v**5/140 + 17*v**2/2 - 69*v. Let i(z) be the first derivative of p(z). Let i(d) = 0. What is d?
-1, 0
Let g(y) = -y**3 + 13*y**2 + 51*y - 36. Let u be g(16). Suppose w + 2*n = -0*n + 4, 4*n = -u. Factor -2/5*t**2 - w + 4*t.
-2*(t - 5)**2/5
Suppose -84*g + 27*g + 627 = 0. Let u(v) be the third derivative of -1/420*v**5 + g*v**2 + 0 - 2/21*v**3 + 0*v - 1/42*v**4. Factor u(c).
-(c + 2)**2/7
Suppose -5*r - 369 = 66. Let l = -83 - r. Solve -15*w**2 + 25*w**3 - 30*w - 15*w + 60*w**l - 65*w**4 = 0 for w.
-1, 0, 3
Let t(s) = 5*s**2 - 12*s - 7. Suppose 31*q = -7 + 100. Let d be t(q). Determine h so that 1/2*h**d + 0 + 1/2*h**3 + 0*h = 0.
-1, 0
Let g(a) be the third derivative of -5/36*a**4 + 0*a**3 - 1/720*a**6 + 0 - 1/30*a**5 + 16*a**2 + 0*a. Factor g(p).
-p*(p + 2)*(p + 10)/6
Let a(z) = z**2 + 8766*z + 26291. Let x be a(-3). Factor 841/6 + 29/3*q + 1/6*q**x.
(q + 29)**2/6
Let p(q) be the first derivative of 4*q**5/25 - 69*q**4/5 + 436*q**3/5 - 902*q**2/5 + 768*q/5 + 10869. Find m, given that p(m) = 0.
1, 3, 64
Let t(z) be the first derivative of 11*z**3/3 + 10*z**2/3 - 13*z/3 + 4575. What is n in t(n) = 0?
-1, 13/33
Let k = 367505 + -1837509/5. Determine g so that 48/5 + k*g**2 + 52/5*g + 1/5*g**3 = 0.
-12, -2
Let d(j) be the first derivative of -j**5/240 - j**4/96 - 32*j**2 + 51. Let s(b) be the second derivative of d(b). Let s(l) = 0. What is l?
-1, 0
Suppose 0 = 1150*w - 3397 - 1203. What is h in -2/9*h**w + 0*h + 0 + 6*h**3 - 52/9*h**2 = 0?
0, 1, 26
Let u be (-9612)/(-272) + (-14 - -12). Let o = u - 131/4. Suppose -o*d**4 + 6/17*d**5 + 0 + 8/17*d**2 - 8/17*d**3 + 0*d = 0. Calculate d.
-1, 0, 2/3, 2
Suppose 334246*n = 334285*n - 78. Determine h, given that 14/11 + 16/11*h + 2/11*h**n = 0.
-7, -1
Let m = -3/2 - -3. Let i be 2950/531 + 4/9. Find w such that m*w**2 + i - 6*w = 0.
2
Let n(h) be the first derivative of -5*h**8/336 + h**7/42 + h**6/3 - h**5 + 25*h**2 - 83. Let r(l) be the second derivative of n(l). Factor r(x).
-5*x**2*(x - 2)**2*(x + 3)
Let s(j) be the first derivative of -137*j**6/24 - 69*j**5/5 - 141*j**4/16 - j**3/6 - 1348. Factor s(g).
-g**2*(g + 1)**2*(137*g + 2)/4
Let i = 2624 + -13118/5. Let u = 967/5 - 191. Let -u*y**2 + 2/5*y**3 - 8/5*y + 16/5 + i*y**4 = 0. What is y?
-2, 1, 2
Factor 4444*f - 2031*f + 232 - 2*f**2 - 2183*f.
-2*(f - 116)*(f + 1)
Let y(a) be the first derivative of -a**8/2856 - 2*a**7/1785 - a**6/1020 - 11*a**2/2 + a + 127. Let g(i) be the second derivative of y(i). Factor g(d).
-2*d**3*(d + 1)**2/17
Let r(f) be the second derivative of -2*f**7/21 - 62*f**6/15 + 2*f**5/5 + 62*f**4/3 - 2*f**3/3 - 62*f**2 - 2792*f. Let r(l) = 0. Calculate l.
-31, -1, 1
Let h = -8331 - -8336. Let d(b) be the first derivative of -b**4 + 11 + 4/5*b**h - 8/3*b**3 + 0*b + 0*b**2. Solve d(t) = 0.
-1, 0, 2
Let v(g) be the second derivative of g**3/6 + 1000*g**2 + 3*g + 2. Let u be v(0). Let -26*d**2 - u - 600*d + 115*d**3 - 117*d**3 - 34*d**2 = 0. What is d?
-10
Let b(m) = m**2 + 11*m + 28. Let p be b(-12). Let v = p + -35. Find l such that v*l - 3*l**2 + 2*l**2 + 2*l + 3*l**2 - 4 = 0.
-4, 1/2
Let c(n) = 2*n**5 + n**3 - n**2 + n - 1. Let l(m) = 14*m**5 + 195*m**4 + 1417*m**3 + 4658*m**2 + 6482*m + 2238. Let p(r) = -2*c(r) + l(r). Factor p(i).
5*(i + 4)**3*(i + 7)*(2*i + 1)
Let d(x) be the first derivative of -7*x**4/20 + 4*x**3 - 29*x**2/10 - 24*x/5 - 114. Let d(s) = 0. What is s?
-3/7, 1, 8
Let j be (-292)/657*(-270)/12. Let z(g) be the second derivative of 1/6*g**4 + 42*g + j*g**2 + 0 - 7/3*g**3. Find d, given that z(d) = 0.
2, 5
Let h(f) be the first derivative of f**6/18 + 23*f**5/15 + 91*f**4/6 + 544*f**3/9 + 64*f**2 - 4742. Factor h(n).
n*(n + 1)*(n + 6)*(n + 8)**2/3
Let z be (3 - 2)/(-2 - -3)*2. Suppose -p + 2 = 0, 2*p + z = 2*x - 26. Factor -9*d**2 - 96*d**2 + 16 - 35*d**2 - x*d.
-4*(5*d + 2)*(7*d - 2)
Let c(g) be the second derivative of -g**4/16 - 807*g**3/2 - 1953747*g**2/2 + 9182*g. Let c(y) = 0. Calculate y.
-1614
Let d(u) be the third derivative of 0*u**3 - 28*u**2 - 7/360*u**6 + 0*u + 4/45*u**5 - 1/18*u**4 + 0. Factor d(o).
-o*(o - 2)*(7*o - 2)/3
Let n(c) be the third derivative of c**7/1050 + c**6/120 - c**5/25 - 2*c**4/3 - 32*c**3/15 + 7*c**2 + 45*c. What is u in n(u) = 0?
-4, -1, 4
Factor -23 + 69*w**4 - 1 + 2 - 138*w**4 + 93*w**3 + 123*w - 187*w**2 + 62*w**4.
-(w - 11)*(w - 1)**2*(7*w - 2)
Let k = 404671/5 + -80934. Determine r, given that k*r**3 + 0*r + 0*r**2 + 0 = 0.
0
Determine r, given that 832/7 - 106/7*r**3 - 6/7*r**4 - 2880/7*r + 1188/7*r**2 = 0.
-26, 1/3, 4
Let v be (-114)/1520*(-4)/(72/(-15)). Let t = v + 53/80. Factor 0 + 0*m + 0*m**2 + t*m**5 - 9/5*m**4 + 6/5*m**3.
3*m**3*(m - 2)*(m - 1)/5
Suppose 5*k + 2*i = 67 - 22, 2*i + 36 = 4*k. Suppose 0 = 3*y - 3*d - k, 0 = -5*y + 4*d - 65 + 79. Find z, given that 256/3 - 64/3*z + 4/3*z**y = 0.
8
Let -132 - 370*y - 1540*y**2 - 557*y - 412*y + 69*y - 2274*y**2 - 3344*y**3 + 160*y**4 = 0. Calculate y.
-3/5, -1/4, 22
Let 110*p**2 + 65*p + 5*p**5 + 70*p**3 + 38*p**4 + 15 - 3*p**4 + 51*p**3 - 31*p**3 = 0. Calculate p.
-3, -1
Find z such that -2/7*z**5 + 30/7*z**2 - 30/7*z**4 + 0 + 22*z**3 - 152/7*z = 0.
-19, -1, 0, 1, 4
Let l(h) be the second derivative of -h**5/45 + 7*h**4/9 + 10*h**3/3 + 20*h**2 - 36*h. Let q(d) be the first derivative of l(d). Let q(t) = 0. Calculate t.
-1, 15
Factor 1/4*s**4 - 2025/2*s + 180*s**2 + 3375/4 - 23/2*s**3.
(s - 15)**3*(s - 1)/4
Let a(l) be the third derivative of -l**7/840 + 13*l**6/240 - 49*l**5/240 + l**4/4 - 2188*l**2. Suppose a(w) = 0. Calculate w.
0, 1, 24
Let w(l) = 88*l**2 - 19 - 44*l + 5*l**3 - l**3 - 99*l**2. Let n(r) = -r**2 - 1. Let o(b) = 5*n(b) + w(b). What is f in o(f) = 0?
-1, 6
Suppose -5*f + 2*k = -16, -1 = -7*f + 8*f + k. Let v(n) be the first derivative of -22 + 40*n + 35/4*n**4 - 70*n**f - 10/3*n**3. Find h such that v(h) = 0.
-2, 2/7, 2
What is h in -25/2*h**3 - 6 - 49/2*h - 31*h**2 = 0?
-1, -12/25
Let q(s) be the second derivative of s**4/18 - 10*s**3/3 - 2*s + 885. Factor q(r).
2*r*(r - 30)/3
Let h be 10/(-6)*(4 - (-2 - -3)). Let j(v) = -14*v - 68. Let q be j(h). Factor -1/4*z**4 + 0 + 1/4*z**3 + 1/2*z**q + 0*z.
-z**2*(z - 2)*(z + 1)/4
Suppose -3*u + 3*z + 9 = 0, -2899*z - 12 = -2*u - 2895*z. Let 3/7*t**5 + 0*t**2 + 0*t + 6/7*t**4 + u + 3/7*t**3 = 0. Calculate t.
-1, 0
Let m = 1043276 + -7302887/7. What is a in m*a**2 + 3/7 + 3*a + 39/7*a**3 + 12/7*a**4 = 0?
-1, -1/4
Let f be 4/((65/10)/13). Determine d, given that -3*d**2 - 4 - 12*d + f - 9*d + 20 = 0.
-8, 1
Suppose d = c - 5, -8*d = -4*c + 267 - 235. Suppose 2/3*u**c + 52/3*u - 18 = 0. Calculate u.
-27, 1
Let v(o) = 15*o**2 - 13050*o + 13030. Let q(z) = -8*z**2 + 6525*z - 6514. Let f(t) = 5*q(t) + 3*v(t). Determine x, given that f(x) = 0.
1, 1304
Find d such that 248/7*d - 2/7*d**2 + 250/7 = 0.
-1, 125
Factor 3*g**3 - 736*g - 108*g**2 + g**3 + 376*g.
4*g*(g - 30)*(g + 3)
Let a(d) be the third derivative of d**8/1848 - 18*d**7/77 + 67*d**6/55 - 401*d**5/165 + 89*d**4/44 + 118*d**2 - 2*d + 3. Factor a(k).
2*k*(k - 267)*(k - 1)**3/11
Let d be 1224/12870 - ((-2)/(-13))/2*1. Let u(v) be the first derivative of -d*v**5 + 3/11*v**3 - 12/11*v + 0*v**4 + 2/11*v**2 - 38. Factor u(s).
-(s - 3)*(s - 1)*(s + 2)**2/11
Let a(l) = -31*l**2 + 11*l - 80. Let d(k) = 23*k**2 - 13*k + 83. Let n(o) = -3*a(o) - 4*d(o). Suppose n(z) = 0. What is z?
-23, 4
Let m(l) be the first derivative of l**3/30 - 11*l**2/20 - 21*l/5 - 1917. Factor m(v).
(v - 14)*(v + 3)/10
Factor -358/9*l - 356/9 - 2/9*l**2.
-2*(l + 1)*(l + 178)/9
Factor -12*m**2 - 8*m + 14 + 37 + 29 - 9*m + 5*m - m**3.
-(m - 2)*(m + 4)*(m + 10)
Let p(g) = -g**2 - 11*g - 16. Suppose -2*n + 2 = 3*m, -n = 3*m + 3 - 1. Let k(y) = y**2 + 0 - y + 8 - 8. Let v(q) = m*p(q) - 6*k(q). Factor v(s).
-4*(s - 8)*(s + 1)
Determine u so that 0*u + 0*u**2 - 31*u**3 + 29/2*u**4 + 0 + 1/2*u**5 = 0.
-31, 0, 2
Find r, given that -88/7*r**2 - 624/7*r - 2/7*r**5 + 12*r**3 - 576/7 + 18/7*r**4 = 0.
-2, 3, 12
Let x(f) = 2*f**2 + 5*f - 36. Let c be x(-6). Solve 6*s + 35*s**3 - 38*s**3 - c*s = 0.
0
Let v(r) be the second derivative of 5408*r**3 - 52*r**4 - 281216*r**2 + 1/5*r**5 + 0 - 81*r. Let v(y) = 0. Calculate y.
52
Let m(t) be the third derivative of 0 + 1/30*t**5 - 1/60*t**6 + 1/6*t**4 + 0*t**3 + 108*t**2 + 0*t. Determine j so that m(