*2 + 7737*u. Determine l so that d(l) = 0.
3/943
Let s(z) be the first derivative of 1/26*z**4 + 0*z**2 + 0*z - 10 + 4/39*z**3. Factor s(v).
2*v**2*(v + 2)/13
Let y = -8419 - -8421. Let p(n) be the second derivative of 0 + 1/8*n**5 + 0*n**y + 1/12*n**4 + 0*n**3 - 6*n. Find o such that p(o) = 0.
-2/5, 0
Let n(d) be the third derivative of 0 + 4/45*d**3 - 9*d - 3*d**2 - 7/450*d**5 - 1/15*d**4. Factor n(k).
-2*(k + 2)*(7*k - 2)/15
Let i(l) = -49*l + 4. Let n(s) = 50*s - 5. Let w(d) = -4*i(d) - 3*n(d). Let g be w(1). Factor 3*o**2 + 43*o**4 + o**2 - g*o**4 + 2*o**3.
-2*o**2*(o - 2)*(o + 1)
Suppose t = -2*d + 2, 3*t = 55*d - 50*d - 16. Let y(u) be the first derivative of 5/3*u**3 + 0*u - d + 7/4*u**4 - u**2. Factor y(i).
i*(i + 1)*(7*i - 2)
Suppose -7*w + 3585 = -4920. Determine v so that v**2 - 174 + 1044*v + 2*v**2 - w*v = 0.
-1, 58
Factor -60*t - 3527*t**2 + 3530*t**2 + 198*t + 135.
3*(t + 1)*(t + 45)
Let u(o) be the second derivative of 3 + 400/9*o**3 - 80*o - 64/3*o**2 - 625/18*o**4. Solve u(f) = 0 for f.
8/25
Let c(l) be the second derivative of -10/3*l**4 + 5/42*l**7 + 77*l + 0*l**2 + 3*l**5 - l**6 + 0*l**3 + 0. Factor c(x).
5*x**2*(x - 2)**3
Factor -2/9*c**2 + 8/3*c - 40/9.
-2*(c - 10)*(c - 2)/9
Let m(a) = 5*a**2 - 3*a + 2. Let r be m(2). Determine x, given that 4*x**5 - 4318*x**4 + 4*x - 112*x**2 + 19*x + 88*x**3 + 45*x + 4286*x**4 - r = 0.
1, 4
Let a be 137/(-12) + -23 + ((-47047)/44)/(-47) + 12. Let 4/3*v - 4/3*v**3 - a*v**4 + 1/3*v**2 + 0 = 0. Calculate v.
-4, -1, 0, 1
Determine q so that 120*q + 1/2*q**2 - 241/2 = 0.
-241, 1
Let m(j) be the first derivative of j**8/7560 - j**7/1890 + j**6/1620 + 4*j**3/3 - 28. Let x(u) be the third derivative of m(u). Factor x(w).
2*w**2*(w - 1)**2/9
Suppose -66*u + 55*u = 1738. Let f = u - -319/2. Factor -147/2 - f*s**2 + 21*s.
-3*(s - 7)**2/2
Factor 1704/5*n**2 + 3/5*n**3 - 1707/5*n + 0.
3*n*(n - 1)*(n + 569)/5
Factor 1/4*k**2 + 4489/4 + 67/2*k.
(k + 67)**2/4
Solve 4064252*r**2 - 4064256 - 12587*r**3 - 316*r**4 + 4523*r**3 + 320*r**4 + 8064*r = 0 for r.
-1, 1, 1008
Factor 7/4 + 1/4*n**2 + 2*n.
(n + 1)*(n + 7)/4
Let d be -10 - ((-23193)/2268 - 1/(-12)). Let a(f) be the first derivative of -22 + 1/7*f**2 - d*f - 1/21*f**3. Factor a(p).
-(p - 1)**2/7
Factor -1904/3*q + 2624/3 - 1/6*q**4 - 23/6*q**3 + 107*q**2.
-(q - 8)**2*(q - 2)*(q + 41)/6
Let 1965191*f - 918 + 9*f**2 - 1965188*f - 6*f**2 = 0. What is f?
-18, 17
Suppose 0 = 1861*d - 2014*d + 459. Find b, given that -1/7*b**4 + 9/7*b**2 + 12/7 - 23/7*b + 3/7*b**d = 0.
-3, 1, 4
Let v(t) be the third derivative of -t**8/1008 + t**6/360 - 2*t**2 + 4*t - 39. Factor v(n).
-n**3*(n - 1)*(n + 1)/3
Let h be ((-1)/((-2)/(-5)))/((-616)/48 - -12). Suppose 3*v = 4*v. Suppose 20/7*o**h + v + 2/7*o - 9/7*o**4 - 13/7*o**2 = 0. Calculate o.
0, 2/9, 1
Let y(j) be the first derivative of -30*j + 5/4*j**4 - 127 + 65/2*j**2 - 40/3*j**3. Solve y(l) = 0.
1, 6
Let h be 93/((-4)/((-200)/15)). Let p be (-16)/((-31)/(h/60)). Factor 2*t**2 + p*t**3 + 2/3*t**4 - 8/3*t - 8/3.
2*(t - 1)*(t + 1)*(t + 2)**2/3
Factor 44/3 + 28/3*v**2 - 70/3*v - 2/3*v**3.
-2*(v - 11)*(v - 2)*(v - 1)/3
Factor 25992050/19 - 14420/19*r + 2/19*r**2.
2*(r - 3605)**2/19
Let j(f) be the second derivative of -f**7/112 - 3*f**6/4 - 579*f**5/40 + 120*f**4 - 256*f**3 + 1631*f. Find u such that j(u) = 0.
-32, 0, 2
Let 69/7*f - 6/7 + 117/7*f**2 = 0. What is f?
-2/3, 1/13
Let p(i) = -5*i**2 + 28*i - 35. Let d(l) = -70*l**2 + 390*l - 490. Let c(s) = 6*d(s) - 85*p(s). Factor c(v).
5*(v - 7)*(v - 1)
Let d(l) be the second derivative of 1/36*l**4 + 7/60*l**5 - 1/126*l**7 - 1/90*l**6 + 0*l**2 - 1/3*l**3 + 48*l - 2. Find g, given that d(g) = 0.
-3, -1, 0, 1, 2
Let v = 4363/837 - 157/31. Let j(b) be the first derivative of -v*b**3 - 2/3*b**2 + 7 + 0*b. Let j(w) = 0. Calculate w.
-3, 0
Factor 4/17 - 72/17*r**2 - 42/17*r.
-2*(3*r + 2)*(12*r - 1)/17
Factor 59*s**3 + 161*s**4 + 31*s**2 + 93*s**2 - 163*s**4 - 301*s**3 + 120*s**2.
-2*s**2*(s - 1)*(s + 122)
Let m(t) = -5*t**3 + 151*t**2 - 2134*t + 6350. Let d(a) = -2*a**3 + a**2 + 5*a + 2. Let p(k) = d(k) - m(k). Determine v so that p(v) = 0.
4, 23
Let l(n) be the third derivative of -n**5/15 + 59*n**4/3 - 6962*n**3/3 - 135*n**2. Factor l(f).
-4*(f - 59)**2
Let b(r) be the second derivative of 7*r**4/8 + 5*r**3/2 - 1208*r. Determine j, given that b(j) = 0.
-10/7, 0
Let s(u) = 3*u**2 + 613*u - 404. Let x(n) = -2. Let h(a) = -5*s(a) - 15*x(a). Factor h(k).
-5*(k + 205)*(3*k - 2)
Let z(d) = 10*d**2 - 5*d + 19. Let m(r) = 2*r + 0 - 6 + 0*r - 3*r**2. Let l be -6*(-10)/(-75) - 60/50. Let x(y) = l*z(y) - 7*m(y). Let x(f) = 0. What is f?
2
Let z(w) be the second derivative of -4/35*w**5 + 23/42*w**3 - 3/14*w**2 - 103*w + 0 - 10/21*w**4. Let z(b) = 0. Calculate b.
-3, 1/4
Let g(s) = 3*s**2 + 25*s + 26. Let x be g(-1). Let -196*u**2 - 232*u**3 - 44*u**2 - 52*u**x - 3*u**5 + 5*u**5 = 0. What is u?
-2, 0, 30
What is s in 69*s**3 - 15*s**3 - 36*s**3 + 70*s**4 - 5*s**5 - 4*s**5 + s**5 = 0?
-1/4, 0, 9
Let u(s) be the first derivative of 0*s**4 - 4/5*s**5 + 0*s**2 - 4*s + 8/3*s**3 - 35. Factor u(d).
-4*(d - 1)**2*(d + 1)**2
Let u(j) = -68*j**4 - 1002*j**3 + 130*j**2 - 140*j + 10. Let w(n) = -n**3 - n**2 + 14*n - 1. Let r(d) = u(d) + 10*w(d). Factor r(b).
-4*b**2*(b + 15)*(17*b - 2)
Let y(z) = 6*z**2 - 1708*z. Let f(q) = -7*q**2 + 1760*q. Let n(o) = 2*f(o) + 3*y(o). Factor n(r).
4*r*(r - 401)
Suppose -11*g - 1207*z + 1209*z = -50, 5*z + 27 = 3*g. Find u, given that -1/5*u**5 + 2/5*u**g + u + 0 + 12/5*u**3 + 14/5*u**2 = 0.
-1, 0, 5
Let j be (-12)/(-30) - (1104/(-15))/1. Let k = 76 - j. Factor 73 + u**3 + u**5 - 4*u**4 - 4*u - 81 + 10*u**k + 0*u.
(u - 2)**3*(u + 1)**2
Suppose 25*z + 1148 - 1198 = 0. Let n = -86 - -86. Find g such that 1/2*g + n + 1/8*g**z = 0.
-4, 0
Suppose -2/3*g**4 + 0 - 700/3*g**2 + 0*g - 26*g**3 = 0. What is g?
-25, -14, 0
Let t = -427116 - -427118. Factor -32/9*s - 56/9 - 2/9*s**t.
-2*(s + 2)*(s + 14)/9
Let v(h) be the second derivative of h**5/70 + 6*h**4/7 + 143*h**3/7 + 242*h**2 - 2*h - 287. What is x in v(x) = 0?
-14, -11
Let o(j) be the second derivative of -25*j**7/126 - 29*j**6/18 - 17*j**5/5 - 25*j**4/9 - 8*j**3/9 + 7*j - 3. What is l in o(l) = 0?
-4, -1, -2/5, 0
Let c(q) = q**2 - 9*q + 8. Let y(g) = 6*g + 4*g + 4749 - 4758 - g**2. Let p(m) = 2*c(m) + 3*y(m). Suppose p(d) = 0. What is d?
1, 11
Let x(a) be the third derivative of -a**5/15 - 105*a**4/2 + 689*a**2. Factor x(u).
-4*u*(u + 315)
Let x = -38141 + 152565/4. Let -1/4*p**2 + 1/2*p - x = 0. What is p?
1
Let d be ((18/36)/(2/(-12)))/(-1). Suppose 0*v + 3*o = 3*v + d, -4 = 3*v - 4*o. Solve 1/5*p**3 + 0*p - 1/5*p**4 + v + 0*p**2 = 0.
0, 1
Factor -67*q - 269/4 + 1/4*q**2.
(q - 269)*(q + 1)/4
Suppose -75*r - 20*r**3 - 25*r**3 + r**3 - 2*r**4 + 65*r**2 - 3*r**4 + 59*r**3 = 0. What is r?
-3, 0, 1, 5
Let j = 1/46691 - -1260655/93382. Factor 21/4 - 15*h - 3*h**3 - 3/4*h**4 + j*h**2.
-3*(h - 1)**3*(h + 7)/4
Let d = 372846 - 2609882/7. Factor 44/7*z + 4/7*z**2 + d.
4*(z + 1)*(z + 10)/7
Let o(j) = -29*j**3 - 169*j**2 - 47*j. Suppose -6 = 12*w - 14*w. Let q(s) = 15*s**3 + 84*s**2 + 24*s. Let v(p) = w*o(p) + 5*q(p). Factor v(b).
-3*b*(b + 7)*(4*b + 1)
Let s be 1575/1350 + (-10)/12. Let d be (1/(-1) - -6) + -1. Suppose 2/3*p**3 + 0*p**2 + 0 - s*p**5 + 1/3*p**d + 0*p = 0. Calculate p.
-1, 0, 2
Let y(c) be the third derivative of 17/120*c**6 + 0*c**3 + 0*c + 1/8*c**4 + 14*c**2 - 4/15*c**5 - 2/105*c**7 - 7. Factor y(f).
-f*(f - 3)*(f - 1)*(4*f - 1)
Let m = 573 + -556. Let g(j) be the second derivative of 0 - m*j + 0*j**4 + 3/10*j**3 - 3/100*j**5 - 3/5*j**2. Find b, given that g(b) = 0.
-2, 1
Let b(h) = -3*h + 17. Let z be b(4). Suppose 1140*p**2 - z*p + 5 - 1 - 1158*p**2 - 9*p = 0. What is p?
-1, 2/9
Let j = 1742 - 392. Suppose -h - 13*h + j*h**2 - 1351*h**2 - 28 + 4 = 0. Calculate h.
-12, -2
Let b(a) = a**2 - 41. Let m(q) = -4*q**2 + q + 165. Let v(z) = -9*b(z) - 2*m(z). Let k be v(-7). Find y such that 3/4*y**3 + y**2 - 3/4*y - 1/2 - 1/2*y**k = 0.
-1, -1/2, 1, 2
Let k(u) = -6*u**2 + 1. Let t be k(3). Let n = -51 - t. Factor y**5 - 2 + 4*y + 14*y**3 - 16*y**2 - 7*y**4 + y**4 + 5*y + 0*y**n.
(y - 2)*(y - 1)**4
Let b(s) be the first derivative of 2*s**3/15 - 48*s**2/5 - 40*s - 4717. Let b(v) = 0. Calculate v.
-2, 50
Let o = -62