g(p) = 0.
0, 4, 8
Let h(f) be the third derivative of 0*f - 8 + 7/132*f**4 - 3*f**2 + 1/330*f**5 + 4/11*f**3. Determine r so that h(r) = 0.
-4, -3
Let h(n) be the second derivative of -1/9*n**4 + 0*n**3 - 16*n + 1/15*n**5 + 2 + 0*n**2. Suppose h(u) = 0. Calculate u.
0, 1
Suppose -4*d - 28 = 4*i, -2*i + 3*d - 4*d = 9. Let t be (-2)/(-72)*(6 - i). Factor -2/9*w + 0*w**3 - 4/9*w**4 + 4/9*w**2 + t*w**5 + 0.
2*w*(w - 1)**3*(w + 1)/9
Let s be 6 - 779/140 - (0 - (-6)/21). Let d(z) be the second derivative of 1/42*z**7 - 2/3*z**3 + 0*z**2 + 2/3*z**4 - s*z**5 + z + 0 - 1/15*z**6. Factor d(c).
c*(c - 2)*(c - 1)**2*(c + 2)
Let s be (-6)/14 - 79/(12166/(-528)). Let v(c) be the first derivative of 1/18*c**4 + 0*c**2 + 2/27*c**3 + 0*c - s. What is b in v(b) = 0?
-1, 0
Let n = 33935 - 33919. Let k(j) be the second derivative of -1/78*j**4 - 49/13*j**2 + 0 - n*j + 14/39*j**3. Suppose k(f) = 0. What is f?
7
Suppose 5*y + i - 13 = 0, 3*y + 2*y - 19 = -3*i. Let j(c) be the third derivative of 15*c**3 - 5/4*c**4 + 1/24*c**5 + 0 + 0*c - c**y. Let j(x) = 0. What is x?
6
Let y(q) be the first derivative of -q**4/2 - 2*q**3/3 + 36*q**2 + 72*q - 1175. Suppose y(t) = 0. Calculate t.
-6, -1, 6
Let j be (4/280*432)/(6 + (-3 - 1)). Let c(r) be the first derivative of -8/21*r + 8/7*r**2 + 1 - 57/14*r**4 + 38/63*r**3 - j*r**5. What is f in c(f) = 0?
-1, -1/2, 2/9
Let v = 21514 + -64534/3. Let d(l) be the first derivative of 4/3*l**2 - v*l + 39 - 2/9*l**3. Factor d(g).
-2*(g - 2)**2/3
Let q(u) be the second derivative of 2*u**6/15 - 7*u**5/5 + 14*u**4/3 - 16*u**3/3 - 2*u - 75. Factor q(d).
4*d*(d - 4)*(d - 2)*(d - 1)
Let y be -40*(-17)/(15 + 121). Let n(o) be the second derivative of 15*o + 0 + 13/72*o**4 - 35/36*o**3 - 1/120*o**y - 49/12*o**2. Find g such that n(g) = 0.
-1, 7
Let x(k) be the first derivative of 0*k**2 + 1/360*k**6 + 0*k**4 + 1/20*k**5 - 13*k**3 + 0*k - 3. Let f(s) be the third derivative of x(s). Solve f(r) = 0.
-6, 0
Let j(u) be the first derivative of -256*u + 84*u**3 - 16*u**4 + 4/5*u**5 + 71 + 32*u**2. Determine g so that j(g) = 0.
-1, 1, 8
Let i be 6/27 - (-430632)/(-162). Let x = 29254/11 + i. What is y in -8/11*y + 0 + 2/11*y**5 + x*y**2 - 6/11*y**3 - 4/11*y**4 = 0?
-2, 0, 1, 2
Let q(u) be the third derivative of 0*u + 169/9*u**3 + 44*u**2 + 13/36*u**4 + 0 + 1/360*u**5. Solve q(v) = 0.
-26
Let c(u) = 2*u**2 - 2*u - 1. Let s(k) = 15*k**2 - 11*k - 2. Let j be -8 - 6/((-48)/40). Let a(y) = j*s(y) + 24*c(y). Determine h, given that a(h) = 0.
-1, 6
Suppose 346/13*t**3 + 14792/13*t + 15136/13*t**2 + 2/13*t**4 + 0 = 0. What is t?
-86, -1, 0
Let i(c) = c**3 - 4*c**2 - 4*c + 8. Let j be i(4). Let a be 28/j*6*6/(-21). Suppose 4 + 0*k**2 + 0*k**2 + 4*k + 3*k**2 - a*k**2 = 0. What is k?
-2/3, 2
Let k(t) be the first derivative of t**4/12 - 22*t**3/9 + 97*t**2/6 + 40*t + 2353. Find u, given that k(u) = 0.
-1, 8, 15
Let 127*c - 18*c**2 + 120*c - 75*c**3 + 282*c**2 + 89*c - 3*c**4 = 0. What is c?
-28, -1, 0, 4
Let c(l) be the third derivative of -2*l**5/5 + 107*l**4/12 + 3*l**3 - 30*l**2 + 11*l + 3. Factor c(k).
-2*(k - 9)*(12*k + 1)
Let j be 23 + -29 - (3580/(-180) - -3). Find d such that -28/3*d + 2 + j*d**2 = 0.
3/7
Let b = 198206 - 198204. Find c such that -3/8*c**b - 15/8*c + 9/4 = 0.
-6, 1
Suppose 0 = 26*q - 35*q - 2628. Let y = 2337/8 + q. Factor -3/8*a + y*a**2 - 1/2.
(a - 4)*(a + 1)/8
Let h(p) = -53*p**4 - 893*p**3 - 858*p**2 + 36*p - 36. Let f(y) = -15*y**4 - 255*y**3 - 245*y**2 + 10*y - 10. Let w(o) = 18*f(o) - 5*h(o). Factor w(n).
-5*n**2*(n + 1)*(n + 24)
Suppose -872/7*p - 124 - 4/7*p**2 = 0. Calculate p.
-217, -1
Let q(i) be the second derivative of -35/4*i**5 + 0*i**3 + 0*i**2 + 7 + 5/42*i**7 - 17/3*i**6 + 7*i + 0*i**4. Determine k, given that q(k) = 0.
-1, 0, 35
Factor 3028/5*a + 2/5*a**2 - 606.
2*(a - 1)*(a + 1515)/5
Let k(b) be the third derivative of b**8/30240 + b**7/7560 - b**6/540 - 59*b**5/60 + 20*b**2. Let t(m) be the third derivative of k(m). Factor t(d).
2*(d - 1)*(d + 2)/3
Let x(v) = -v**2 + 6*v + 1. Let u be x(5). Suppose -8 = -u*i + 52. What is n in -2*n**2 - 4*n**2 + 60 + n**2 - i*n**2 - 80*n = 0?
-6, 2/3
Let o = -255 + 300. Factor -40*s**3 - o*s**4 - 41*s**4 + 81*s**4 - 30*s - 65*s**2.
-5*s*(s + 1)**2*(s + 6)
Let f = -99 - -107. Suppose 8 = -4*l + f*l. Let 194*r**5 + 556*r**3 + 130*r**5 - 73*r**2 + 828*r**4 + 13*r**l + 16 - 96*r = 0. What is r?
-1, 2/9
Solve 7/4*j + 1/2 - 1/2*j**4 + 1/2*j**3 - 1/4*j**5 + 2*j**2 = 0.
-1, 2
Let r(f) = -16*f**3 + 24*f**2 - 26*f + 28. Let l(d) = d**3 - d**2 + d - 2. Let x(t) = 28*l(t) + 2*r(t). Factor x(j).
-4*j*(j - 3)*(j - 2)
Let q(p) be the first derivative of 0*p**4 + 6/5*p**2 + 7/15*p**3 - 5 - 17*p - 1/50*p**5. Let s(a) be the first derivative of q(a). Factor s(n).
-2*(n - 3)*(n + 1)*(n + 2)/5
Let p(g) be the third derivative of g**2 + 11/3*g**3 - 1/60*g**5 + 3/8*g**4 + 44*g + 0. What is a in p(a) = 0?
-2, 11
Let a(w) be the second derivative of -5/9*w**3 + 0 - 5/36*w**4 + 20/3*w**2 + 46*w. Solve a(d) = 0 for d.
-4, 2
Determine b, given that 471/2*b**2 + 3/2*b**4 + 71/2*b**3 + 561/2*b - 121 = 0.
-11, -2, 1/3
Let k(a) be the third derivative of 278*a**5/3 + 1855*a**4/8 + 5*a**3/6 + 4061*a**2. Factor k(s).
5*(s + 1)*(1112*s + 1)
Let l be ((-375)/6825*-52)/(-2 + 2 + (-6)/(-7)). Factor -l - 1/6*b**2 - 2*b.
-(b + 2)*(b + 10)/6
Determine u so that 448*u - 304 + 29/2*u**3 + 1/2*u**4 - 159*u**2 = 0.
-38, 1, 4
Factor 75/2 + 1/8*f**2 - 19*f.
(f - 150)*(f - 2)/8
Factor -10*z - 1/4*z**2 + 41/4.
-(z - 1)*(z + 41)/4
Factor -203*m**3 - 1155*m - 6705 + 202*m**3 - 69*m**2 + 1018.
-(m + 11)**2*(m + 47)
Suppose 0 = -17*r + 6*r - 110*r. Let m(z) be the third derivative of 0*z**5 + 0*z**3 + 34*z**2 + 1/280*z**6 + r*z + 0 + 0*z**4. Factor m(c).
3*c**3/7
Factor 16*t**4 - 204*t**3 - 72*t**4 + 52*t**4 - 1440 - 1175*t**2 - 2192*t + 47*t**2.
-4*(t + 2)**3*(t + 45)
Let r(a) be the third derivative of a**6/1020 - a**5/85 - 31*a**4/204 + 12*a**3/17 - 54*a**2 - 3*a. Factor r(u).
2*(u - 9)*(u - 1)*(u + 4)/17
Let j(k) be the third derivative of 11/90*k**5 + k**3 - 51*k**2 + 0 + 1/180*k**6 + 19/36*k**4 + 0*k. Solve j(w) = 0 for w.
-9, -1
Let u(j) be the second derivative of -49*j - 10/3*j**4 + 56/3*j**3 + 0*j**2 + 1/30*j**6 - 1/20*j**5 + 0. Factor u(b).
b*(b - 4)**2*(b + 7)
Let c be (2 + -2)/(2/(-1)). Let d(s) be the first derivative of 4/15*s**5 - 1/18*s**6 + c*s + 4/9*s**3 - 1/6*s**2 + 20 - 1/2*s**4. Factor d(b).
-b*(b - 1)**4/3
Let b be (2/(-28))/((-1665)/777). Let r(h) be the third derivative of b*h**5 + 0*h**3 + 0*h - 16*h**2 + 1/12*h**4 + 0. Suppose r(v) = 0. What is v?
-1, 0
Let q = 2/284313 + 1137238/1990191. Factor 0*z - q*z**2 + 4/7.
-4*(z - 1)*(z + 1)/7
Let 1854/5 + 224/5*d + 2/5*d**2 = 0. What is d?
-103, -9
Let c(x) be the first derivative of -5/8*x**2 + 5/16*x**4 + 5/6*x**3 - 5/2*x + 168. Factor c(n).
5*(n - 1)*(n + 1)*(n + 2)/4
Suppose 0 = -6*g - 0*g - 186. Let n = g - -33. Factor -20 - 165*q**n - 247*q - 440*q**2 + 27*q.
-5*(11*q + 2)**2
Let g(j) be the third derivative of j**6/480 + 5*j**5/48 + 47*j**4/96 + 23*j**3/24 + 27*j**2 - 14. Suppose g(s) = 0. Calculate s.
-23, -1
What is z in 16/3*z + 26/15*z**3 + 8/5 - 98/15*z**2 = 0?
-3/13, 2
Let x(g) be the second derivative of -331/18*g**3 + 7/36*g**4 + 47/3*g**2 + 0 - 38*g. Factor x(j).
(j - 47)*(7*j - 2)/3
Solve 3936/13*a + 64/13 + 64080/13*a**3 + 25568/13*a**2 + 29430/13*a**5 + 71172/13*a**4 = 0 for a.
-2/3, -2/5, -2/109
Let v = 224345/7 + -32049. Determine d so that 0*d + 0 - v*d**3 - 4/7*d**2 = 0.
-2, 0
Let s be (((-564)/(-117))/4)/(6921/3564). Let p = s - 4/769. Factor 6/13 - p*l + 2/13*l**2.
2*(l - 3)*(l - 1)/13
Let n(t) = -127*t + 640. Let r be n(5). Let g(p) be the second derivative of 0 + 5/12*p**4 - 25/6*p**3 + 15/2*p**2 + 1/4*p**r - p. What is j in g(j) = 0?
-3, 1
Let r(g) be the second derivative of 6/25*g**5 + 11/15*g**4 + 0*g**2 + 4/5*g**3 - 11 + 2/75*g**6 - 14*g. Factor r(c).
4*c*(c + 1)*(c + 2)*(c + 3)/5
Let s(z) be the third derivative of 0 - 28*z**2 - 1/44*z**4 - 1/330*z**5 + 0*z - 2/33*z**3. Factor s(b).
-2*(b + 1)*(b + 2)/11
Let r(j) = 33*j**3 - 1280*j**2 + 30800*j - 196000. Let p(a) = 4*a**3 - 160*a**2 + 3850*a - 24500. Let m(w) = -17*p(w) + 2*r(w). Find b, given that m(b) = 0.
10, 35
Let p(g) be the second derivative of -2*g**6/3 + 43*g**5/4 +