.
-30, -2/3, 0, 2/3, 1
Suppose 5*y - 4*c - 174 = 0, y + 132 = 5*y - 5*c. Let m be (-16)/72 + y/9. Solve -28*w**4 + 10*w**m - 23*w**3 - 19*w**3 + 2*w**3 - 4*w - 26*w**2 = 0.
-1, -2/9, 0
Let g(l) be the third derivative of 1/84*l**8 + 29/5*l**6 + 7*l**2 + 0 + 7*l + 475/2*l**4 - 142/3*l**5 - 750*l**3 - 2/5*l**7. What is p in g(p) = 0?
3, 5
Let 1/7*y**2 + 104/7 - 30/7*y = 0. What is y?
4, 26
Let c(w) = -2091*w - 12544. Let r be c(-6). Let f(u) be the first derivative of -1/4*u - 44 - 3/16*u**r - 1/24*u**3. Factor f(p).
-(p + 1)*(p + 2)/8
Let b(q) = q**3 - q**2. Suppose 5*d + 3 = 8. Suppose -22*i + 23*i = -d. Let s(f) = -f. Let x(m) = i*b(m) - 2*s(m). Solve x(a) = 0.
-1, 0, 2
Let i be 1/3 - 5/(-12). Suppose 2*l + 5*u = -51, -39*u - 52 = -4*l - 35*u. Determine s so that 0*s - 3/4*s**l - i*s**3 + 0 = 0.
-1, 0
Let 374/9*r**4 - 374/9*r**2 - 34/3*r**3 + 94/9*r + 8/9*r**5 + 0 = 0. Calculate r.
-47, -1, 0, 1/4, 1
Suppose o - 4*b = -11, -3*o + 5*b + 18 = 58. Let j be 8/9 - 1/(o/(-10)). Let -2/9*p**2 + j*p**3 + 8/9 - 8/9*p = 0. Calculate p.
-2, 1, 2
Suppose -b - 108 = 2*b. Let d be ((-3976)/b)/7 - 6/(-27). Solve -4*l**2 + 4*l - d*l + 16 + 0*l**2 = 0 for l.
-4, 1
Find s such that -315 + 305/2*s + 5/2*s**2 = 0.
-63, 2
Let q be 49/(-2520)*22/(-77). Let i(s) be the third derivative of 0*s + 0*s**3 - q*s**5 + 0 - 35*s**2 - 1/72*s**4. Solve i(d) = 0 for d.
-1, 0
Suppose -966*q + 28 = 5*k - 963*q, -5*k + 16 = q. Let 1/2*i**k + 15/2 - 4*i = 0. What is i?
3, 5
Let l(n) be the first derivative of -2*n**3/3 - 11*n**2/2 - 15*n + 295. Let g be l(-3). Factor 0 + 0*t + 15*t**3 + g*t**2 + 5/2*t**4 - 5/2*t**5.
-5*t**3*(t - 3)*(t + 2)/2
Suppose -14/19*r**2 + 2/19*r**3 - 96/19*r + 360/19 = 0. Calculate r.
-6, 3, 10
Factor 7436529/5 - 5454/5*k + 1/5*k**2.
(k - 2727)**2/5
Let h(x) be the third derivative of x**7/840 + x**6/160 - 5*x**5/48 - 13*x**4/32 + 15*x**3/2 + 3*x**2 + 23*x - 2. Suppose h(w) = 0. Calculate w.
-5, -4, 3
Let k be -8 + -31 + (-208 - -247). Factor 1/3*g**2 + k + 1/6*g**3 + 1/6*g.
g*(g + 1)**2/6
Let u = 205 + -67. Factor -u*q**3 - 51*q**3 + 3072*q - 11*q**4 + 8*q**4 - 2880*q**2.
-3*q*(q - 1)*(q + 32)**2
Let w be ((-4)/(-2))/((-8)/12). Let v be ((-174)/24 - -7) + w/(-4). Factor v*a**2 - 1/4*a**5 + 0*a - 5/4*a**3 + 0 + a**4.
-a**2*(a - 2)*(a - 1)**2/4
Determine l, given that 0 - 4/7*l**4 - 228/7*l**3 - 480*l**2 - 448*l = 0.
-28, -1, 0
Let k(q) be the first derivative of 2*q**3/3 + 98*q**2/5 + 146*q - 1978. Factor k(c).
2*(c + 5)*(5*c + 73)/5
Let t(m) be the first derivative of 491*m**3 - 18*m**2 - 490*m**3 + 233 - 15*m**2 - 69*m. Factor t(n).
3*(n - 23)*(n + 1)
Let w(z) be the first derivative of -z**4/32 - 5*z**3/4 - 27*z**2/4 - 13*z + 471. Factor w(c).
-(c + 2)**2*(c + 26)/8
Let s(i) = -3*i**3 - 824*i**2 - 7*i + 519. Let v(d) = -2*d**3 - 412*d**2 - 4*d + 229. Let q(j) = -3*s(j) + 5*v(j). Factor q(h).
-(h - 412)*(h - 1)*(h + 1)
Let q(j) be the third derivative of j**6/2340 + j**5/78 + 25*j**4/156 + 13*j**3/2 - 32*j**2. Let n(f) be the first derivative of q(f). Factor n(v).
2*(v + 5)**2/13
Let b = 1145/6 - 658381/3450. Let r = b + 578/1725. Let -1/3*a + a**2 + r*a**3 - 1/3*a**4 - 2/3 = 0. Calculate a.
-1, 1, 2
Let j(a) be the third derivative of a**7/105 + a**6/5 + 7*a**5/10 + 5*a**4/6 - 4*a**2 - 97*a. Factor j(d).
2*d*(d + 1)**2*(d + 10)
Let z(l) = l**2 + 7*l + 8. Let w(t) = 10*t**2 + 9575*t + 4550620. Let b(g) = w(g) - 5*z(g). Factor b(r).
5*(r + 954)**2
Let g be (-730)/(-12) + 3 - (-1)/6. Let j be (12/g*-2)/(6/(-4)). Determine z, given that j*z**4 + 0*z - z**3 + 0 + z**2 = 0.
0, 2
Let y(s) be the third derivative of -19/60*s**6 + 0*s**3 + 0 + 1/4*s**4 + 40*s**2 - 11/30*s**5 + 0*s - 1/21*s**7. Solve y(g) = 0 for g.
-3, -1, 0, 1/5
Suppose -10*g + 12*g - 2 = 0. Let f be (22/(-3) + 1)/(g/(-3)). Solve f*i**3 - 4*i**5 - 3 + 3 - 23*i**3 - 8*i**4 = 0.
-1, 0
Suppose -128*d - 4*s - 5 = -127*d, -10 = -2*d + 2*s. Let c(t) be the second derivative of 2/9*t**d + 0*t**2 - 1/18*t**4 + 21*t + 0. Factor c(k).
-2*k*(k - 2)/3
Solve 354 + 189*m**3 - 54*m**2 + 24*m**2 - 56*m**2 + 891*m + 3*m**4 + 809*m**2 = 0.
-59, -2, -1
Let g(s) be the first derivative of -s**4/2 + 18*s**3 + s**2 - 54*s + 1111. Factor g(u).
-2*(u - 27)*(u - 1)*(u + 1)
Determine m so that 387*m + 52*m**3 - 652*m**2 + 269*m - 56*m**3 = 0.
-164, 0, 1
Suppose 240*p = 230*p + 10460. Let g = p + -1046. Factor -8*d**2 + 3*d + 1/3*d**5 + 22/3*d**3 + g - 8/3*d**4.
d*(d - 3)**2*(d - 1)**2/3
Let p(t) = -58*t**3 + 10*t**2 + 174*t - 186. Let z(o) = -14*o**3 - o**2 + o - 1. Let j(f) = p(f) - 4*z(f). Factor j(i).
-2*(i - 13)*(i - 1)*(i + 7)
Let x(y) be the first derivative of 2*y**5/5 + 4*y**4 + 44*y**3/3 + 24*y**2 + 18*y + 1089. Solve x(z) = 0 for z.
-3, -1
Let x(j) be the first derivative of -16*j**3/21 + 27*j**2/7 - 38*j/7 - 4043. Factor x(u).
-2*(u - 1)*(8*u - 19)/7
Let c(t) = t**3 + 3*t**2 + t + 3. Let f be c(-2). Let a(s) = s + 10. Let b be a(-5). Factor -9 + 1 + f*m**2 + b*m - 2.
5*(m - 1)*(m + 2)
Let i be ((-256)/26688)/((-190)/(-31677)). Let p = 2/2641 - i. Factor 6/5 + 2/5*x**4 - p*x**2 + 4/5*x**3 - 4/5*x.
2*(x - 1)**2*(x + 1)*(x + 3)/5
Let m(w) be the first derivative of 65 + 0*w - 1/6*w**4 - 2/15*w**5 + 0*w**2 + 4/9*w**3. Factor m(x).
-2*x**2*(x - 1)*(x + 2)/3
Let i(u) be the third derivative of u**7/2100 - u**5/150 - 5*u**2 + 139*u. Solve i(h) = 0 for h.
-2, 0, 2
Suppose 275*i - 875 - 500 = 0. Let f(d) be the first derivative of 0*d**3 + 0*d - 24 + d**4 + 4/5*d**i + 0*d**2. Factor f(p).
4*p**3*(p + 1)
Let d(y) be the second derivative of -y**6/10 + 3*y**5/5 - 8*y**3 + 24*y**2 - 112*y. Determine h so that d(h) = 0.
-2, 2
Let t(q) be the second derivative of q**7/2940 - q**6/210 - q**5/28 - 11*q**4/4 - 65*q. Let l(c) be the third derivative of t(c). Suppose l(n) = 0. Calculate n.
-1, 5
Let r(v) be the first derivative of 4*v**3/3 - 6832*v**2 + 11669056*v + 3714. Factor r(l).
4*(l - 1708)**2
Let -2018/11*w**2 - 1640/11 - 10260/11*w**3 + 6552/11*w - 50/11*w**4 = 0. What is w?
-205, -1, 2/5
Let a(f) be the second derivative of 121*f**5/50 - 4697*f**4/30 - 857*f**3/15 - 39*f**2/5 - 25*f + 75. Suppose a(b) = 0. Calculate b.
-1/11, 39
Let w(p) = 23*p**3 - p**2 - 3*p - 10. Let c be w(-3). Let n = c - -633. Factor -21/8*h**n - 3/8*h**3 + 21/8 + 3/8*h.
-3*(h - 1)*(h + 1)*(h + 7)/8
Let d(t) be the second derivative of -1/10*t**5 + 7/3*t**4 - 23 + 3*t - 32/3*t**3 - 128*t**2. Solve d(s) = 0 for s.
-2, 8
Let w be 40/30 - ((-2512)/6 + -1). Factor 70*q + w*q**2 - 433*q**2 + 2*q - 54 - 8*q**3 + 2*q**4.
2*(q - 3)**2*(q - 1)*(q + 3)
Suppose 0 - 720/7*b**2 - 800/7*b - 2/7*b**4 + 78/7*b**3 = 0. Calculate b.
-1, 0, 20
Let p(j) be the second derivative of j**5/300 + j**4/20 + 3*j**3/10 - 25*j**2 - 19*j. Let c(i) be the first derivative of p(i). Suppose c(f) = 0. Calculate f.
-3
Suppose 0 = i + 1 - 3. Suppose -i*n + 36 = 4*n. Factor -6 - n + 4*r**2 + 4 + 4*r.
4*(r - 1)*(r + 2)
Suppose 7*f = -1283 + 758. Let h be 80/(-1000) - 231/f. Find q such that 2/5*q**2 - 2/5*q - 2/5 + 2/5*q**h = 0.
-1, 1
Solve -14*r + 69*r + 472*r + 282*r**2 + 12 + 91*r + 232*r = 0 for r.
-3, -2/141
Let v be 57/(-912)*8356/(-2081). Let n = v - 2/2081. Factor 7/2*y - n*y**2 - 49/4.
-(y - 7)**2/4
Let n be (27/(-6))/(105/(-28)). Let j = 29753 - 29751. Factor 6/5 + 3/5*t**3 - n*t**j - 3/5*t.
3*(t - 2)*(t - 1)*(t + 1)/5
Suppose 0 = -g + 45 - 19. Factor -3*a**2 + 8 + 19*a**2 + g*a - 8*a**3 - 42*a**2.
-2*(a - 1)*(a + 4)*(4*a + 1)
Factor 30650*p**2 - 5*p**5 - 17130*p**2 + 0*p**5 - 13000*p**3 - 515*p**4.
-5*p**2*(p - 1)*(p + 52)**2
Let r = -1734 - -7626/5. Let q = r + 209. Let -4/5 + 3/5*t**2 + 0*t - q*t**3 = 0. Calculate t.
-1, 2
Let u(q) be the third derivative of q**8/840 - q**7/60 - 68*q**3/3 + 49*q**2. Let h(p) be the first derivative of u(p). Suppose h(l) = 0. Calculate l.
0, 7
Find k such that 256/7*k + 0 - 12/7*k**3 + 1/7*k**4 + 0*k**2 = 0.
-4, 0, 8
Let g be (42/(-35))/(2/((-20)/(-3))). Let p(h) = -h + 35. Let a be p(g). Factor -16*j**2 - a*j + 13*j - 2*j**3 + 0*j**3 - 17 + 5.
-2*(j + 1)**2*(j + 6)
Determine n so that 0 + 1112/3*n + 1/3*n**2 = 0.
-1112, 0
Let a be 4*(-6)/12*-1. Find n such that 21*n**2 + 51*n**3 - 5*n**2 - 31*n**3 + 5*n**4 + 4*n**a = 0.
-2, 0
Let j(q) be the first derivative of 17 + 1/48*q**4 - 1/8*q**2 - 1/8*q**3 + 3/80*q**5 + 30*q. Let y(d) be t