lve p(r) = 0.
1, 3
Let h be 16/(-392) + (-7200)/(-32340). Factor 0*d + 0 + h*d**3 + 0*d**2.
2*d**3/11
Let w(n) be the third derivative of -n**7/1890 - n**6/90 + n**5/20 + 9*n**4/4 - 163*n**2. Factor w(g).
-g*(g - 6)*(g + 9)**2/9
Let t(l) be the third derivative of -l**5/35 + l**4/4 + 4*l**3/7 + 571*l**2. Suppose t(f) = 0. What is f?
-1/2, 4
Let g(y) be the first derivative of -22*y - 5/2*y**3 + 12*y**2 + 61 + 1/8*y**4. Factor g(b).
(b - 11)*(b - 2)**2/2
Let j(i) = -7*i**2 - 182*i - 718. Let v(h) = 3*h**2 - h - 1. Let b(y) = j(y) + 2*v(y). Determine d so that b(d) = 0.
-180, -4
Let m be 898/(-22) - (1 + (-4 - -2)). Let w = -2157/55 - m. Factor -18/5 + w*z + 3/5*z**2.
3*(z - 2)*(z + 3)/5
Let m(o) = -o - 3. Let h be m(-5). Let f = 296997/593990 - 1/296995. Factor f - 3/8*p - 1/8*p**h.
-(p - 1)*(p + 4)/8
Let d(f) be the second derivative of -f**7/294 - f**6/70 + 17*f**5/70 + 5*f**4/6 - 75*f**3/14 + 125*f**2/14 - 239*f + 2. Determine w, given that d(w) = 0.
-5, 1, 5
Factor -1/6*r**3 + 149/6*r - 71/6*r**2 + 73/2.
-(r - 3)*(r + 1)*(r + 73)/6
Factor -2241*l**2 + 13*l**4 - 34*l - 30*l**4 + 4*l**5 - 5*l**5 + 3*l**3 + 2290*l**2.
-l*(l - 1)**2*(l + 2)*(l + 17)
Suppose 3*f + 4*p + 8 = -p, 0 = -3*f + 2*p + 20. Let n = 1 - -7. Factor f*b**3 + 4*b - 5 - 32*b - 9 + 30 + n*b**2.
4*(b - 1)**2*(b + 4)
Suppose 12*u - 48 = 10*u. Find n such that -28*n**2 + 61*n**2 - 31*n**2 + u*n = 0.
-12, 0
Let d be 2/10*0/(24/(-4)). Let t be 11*(-10)/(-440)*d. Factor 0*k - 1/3*k**3 - k**2 + t.
-k**2*(k + 3)/3
Let v be (2/(-18)*39/26)/(-8). Let p(j) be the second derivative of v*j**4 + 0 + 1/12*j**3 - j**2 + 23*j. Let p(a) = 0. What is a?
-4, 2
Let o = 1/287 + -63429/574. Let b = o + 111. Factor -1/2 - 1/2*q**3 + 1/2*q + b*q**2.
-(q - 1)**2*(q + 1)/2
Let a = 31 - 1. Suppose -55 = -3*n + 4*i + a, 5*n + 5*i = 130. Factor -3*g**2 - 27*g - 3*g**3 + n*g.
-3*g**2*(g + 1)
Suppose 123*p - 33 = 213. Let q(k) be the third derivative of 0 + 15*k**p + 1/75*k**5 - 1/40*k**4 - 1/30*k**3 + 0*k. Suppose q(j) = 0. Calculate j.
-1/4, 1
Let j(n) = -9*n**3 + n**2 + n + 1. Let o(q) = -49*q**3 + 5*q**2 + 5*q + 6. Let c = -193 + 226. Let g(r) = c*j(r) - 6*o(r). Factor g(p).
-3*(p - 1)**2*(p + 1)
Suppose 3*v = -3*v + 606. Suppose -97*w = -v*w + 12. Suppose -2*f**5 - 5 + 20*f - 57*f**w - 2*f**2 - 5*f**4 + 12*f**2 + 17*f**3 + 22*f**5 = 0. Calculate f.
-1, 1/4, 1
Suppose 0 = -5*t + 5*l, -2*l = -5*l + 9. Let i be ((-63)/(-4))/7 + (1 - t). Determine f, given that 0*f**2 + 0 - 1/2*f**4 - 1/4*f**5 - i*f**3 + 0*f = 0.
-1, 0
Let t(r) = 810*r - 7288. Let v be t(9). Factor 0 - 16/11*h - 2/11*h**3 + 12/11*h**v.
-2*h*(h - 4)*(h - 2)/11
Let o = 45493/2 - 22745. Solve 21*a - 147/2 - o*a**2 = 0 for a.
7
Let o(k) be the second derivative of 0 - 17/30*k**5 + 111*k + 10/9*k**4 + 0*k**2 - 4/9*k**3 + 4/45*k**6. What is x in o(x) = 0?
0, 1/4, 2
Let o(r) be the first derivative of -8/15*r**3 + 2/5*r**2 - 3/25*r**5 - 14 - 11/20*r**4 + 0*r. Factor o(i).
-i*(i + 2)**2*(3*i - 1)/5
Determine n, given that -1916019/2*n - 382347 - 770052*n**2 - 3/2*n**5 - 195465*n**3 - 1077*n**4 = 0.
-357, -2, -1
Suppose -m**5 + 26777*m - 26888*m + 108*m**2 - 2*m**5 + 114*m**3 - 108*m**4 = 0. What is m?
-37, -1, 0, 1
Suppose -a + 738 = 749. Let p be a/88 - (-68)/32. Let 4/5*r**3 + 4/5*r**p - 4/5*r - 4/5 = 0. Calculate r.
-1, 1
Let i(u) = 13*u**2 + 663*u - 613. Let v(q) = 6*q**2 + 327*q - 306. Let t(g) = 3*i(g) - 7*v(g). Factor t(b).
-3*(b - 1)*(b + 101)
Let q(u) be the first derivative of -u**6/3 + 92*u**5/5 - 264*u**4 - 92*u**3/3 + 529*u**2 - 188. Solve q(b) = 0 for b.
-1, 0, 1, 23
Let u(f) be the third derivative of 1/4*f**3 + 7/120*f**6 + 0*f - 18 - 1/84*f**7 + 1/60*f**5 - 11/48*f**4 - 1/224*f**8 + 3*f**2. Find c, given that u(c) = 0.
-3, -1, 1/3, 1
Let f(s) = -s**3 - 11*s**2 + 29*s + 49. Let p be f(-13). Let z be (15/(-40))/(p/(-80)). Factor 3*q**2 + 0*q - 12/5*q**4 + 0 + 57/5*q**z.
-3*q**2*(q - 5)*(4*q + 1)/5
Let q be 3*(2389 + -6) + 7. Factor -3*a**3 + 6*a + 15*a + q - 7138.
-3*(a - 3)*(a + 1)*(a + 2)
Suppose 4*s = -3*q - 32, -4*q + 2*s + 387 = 371. Let l(k) be the first derivative of 0*k**2 - 5/6*k**6 + k**5 + q*k - 26 + 5/4*k**4 - 5/3*k**3. Factor l(x).
-5*x**2*(x - 1)**2*(x + 1)
Let z(l) be the second derivative of 12*l**5/25 - 2*l**4 + 17*l**3/10 - 3*l**2/5 - 2*l - 755. Suppose z(w) = 0. Calculate w.
1/4, 2
Let j(b) be the first derivative of -3*b + 0*b**2 + 0*b**3 + 26 + 1/72*b**4 + 1/120*b**5. Let i(d) be the first derivative of j(d). Find u such that i(u) = 0.
-1, 0
Suppose 8*n - 3*n + 35 = -5*m, 0 = -4*m + 3*n - 49. Let r be 138/759 - (-1)/(176/m). Factor 1/8*q - 1/8*q**3 + 1/8*q**2 - r.
-(q - 1)**2*(q + 1)/8
Let p(i) = -245*i**3 - 2158*i**2 - 1719*i - 354. Let b(z) = -490*z**3 - 4314*z**2 - 3437*z - 707. Let k(f) = 6*b(f) - 13*p(f). Factor k(w).
5*(w + 8)*(7*w + 3)**2
Let w(x) = -6*x**2 + 203*x - 202. Let k(h) = -h**2. Let i(m) = -5*k(m) + w(m). Factor i(n).
-(n - 202)*(n - 1)
Factor 6/7*p**2 - 3/7*p**3 + 8/7*p - 1/7*p**4 + 0.
-p*(p - 2)*(p + 1)*(p + 4)/7
Let r(f) be the third derivative of -3*f**8/560 + 17*f**7/350 - 31*f**6/200 + 23*f**5/100 - 3*f**4/20 + 88*f**2. Solve r(h) = 0 for h.
0, 2/3, 1, 3
Factor 2375*v - 4*v**2 - 1297*v - 1210*v - 128.
-4*(v + 1)*(v + 32)
Let s(f) be the second derivative of -f**5/30 - 56*f**4/9 + 113*f**3/9 + 2589*f + 1. Suppose s(k) = 0. What is k?
-113, 0, 1
Let k(i) be the first derivative of -5*i**4/4 - 70*i**3/3 - 245*i**2/2 + 1685. Let k(v) = 0. What is v?
-7, 0
Let k(z) be the third derivative of z**5/210 + 85*z**4/42 - 57*z**3/7 + 163*z**2. Find d such that k(d) = 0.
-171, 1
Let y(q) be the first derivative of 7*q**5/4 - 85*q**4/4 + 245*q**3/3 - 60*q**2 + 20*q - 4. Let x(d) be the first derivative of y(d). Factor x(v).
5*(v - 4)*(v - 3)*(7*v - 2)
Suppose 10*m - 45 = -2*h + 5*m, -36 = -2*h - 2*m. Factor -h*g**4 + 34*g**3 - 39*g**3 - 27*g**2 + 6*g + 41*g**3.
-3*g*(g - 1)**2*(5*g - 2)
Let c(d) be the second derivative of d**7/42 + d**6/72 - d**5/6 - 5*d**4/24 + 28*d**3/3 + 38*d + 1. Let x(h) be the second derivative of c(h). Factor x(l).
5*(l - 1)*(l + 1)*(4*l + 1)
Find i such that 0 - 21*i**2 - 9/8*i**4 - 129/4*i**3 + 0*i = 0.
-28, -2/3, 0
Let m(r) be the second derivative of r**5/5 + 3*r**4/2 - 17*r**3/3 + 6*r**2 + 2110*r. Determine b, given that m(b) = 0.
-6, 1/2, 1
Suppose 5*b = 30 + 70. Suppose -4*l = s, 4*s - 5*l = -l + b. Factor -89*g**3 - 89*g**3 + 175*g**3 - 3*g**s.
-3*g**3*(g + 1)
Let w(n) be the first derivative of 36/5*n - 2*n**2 + 1/15*n**3 + 195. Let w(g) = 0. What is g?
2, 18
Suppose 1 = 2*o - 9. Suppose 3*c - 2*u - 54 = 0, -74 = -o*c - u - u. Solve 24*q**3 - c*q**4 + 36*q**3 + 91*q**2 - 75*q**2 = 0 for q.
-1/4, 0, 4
Let b be (2/((-16)/(-6)))/((-6)/(-40)). Factor -15*r**4 - 4*r**5 + 9*r**b + 24*r - 24*r + 10*r**3.
5*r**3*(r - 2)*(r - 1)
Let f(k) = 18*k**3 - 1282*k**2 + 6*k + 1282. Let n(b) = 7*b**3 - 427*b**2 + 2*b + 427. Let y(u) = -3*f(u) + 8*n(u). Factor y(p).
2*(p - 1)*(p + 1)*(p + 215)
Let z(d) be the third derivative of -9*d**6/280 + 379*d**5/210 - 191*d**4/6 + 28*d**3/3 + 4529*d**2 + 2*d. Factor z(q).
-(q - 14)**2*(27*q - 2)/7
Solve 36963/2 + 111*r + 1/6*r**2 = 0.
-333
Factor -6 + 17/2*i - 11/4*i**2 + 1/4*i**3.
(i - 6)*(i - 4)*(i - 1)/4
Let -256 - 14/5*u**2 - 4484/5*u = 0. What is u?
-320, -2/7
Let o(k) be the second derivative of k**6/6 - 257*k**5/20 + 1159*k**4/4 - 4475*k**3/6 + 625*k**2 - 2671*k. Factor o(z).
(z - 25)**2*(z - 1)*(5*z - 2)
Let o(s) = -2*s**2 - 24*s - 60. Let q be o(-7). Factor 2 + 16*y**2 + 883*y + 6*y**2 - q - 823*y + 10*y**2.
4*(y + 2)*(8*y - 1)
Let c(d) be the first derivative of 3*d**4/16 + 437*d**3/2 + 578115*d**2/8 + 567675*d - 6069. Let c(q) = 0. Calculate q.
-435, -4
Let b(x) be the third derivative of -x**5/30 + 1517*x**4/6 - 2301289*x**3/3 + 318*x**2. Factor b(g).
-2*(g - 1517)**2
Let j(s) be the third derivative of 169*s**6/60 + 793*s**5/6 + 601*s**4/4 + 69*s**3 + 128*s**2 - 2*s. Factor j(p).
2*(p + 23)*(13*p + 3)**2
Find k such that 55*k**3 + 10*k**2 + 81*k**2 - 63*k**3 - 726 + 33*k**2 - 836*k + 46*k**2 = 0.
-3/4, 11
Let f = -38 + 37. Let b(t) = -2*t + 1. Let y be b(f). Factor -3*c**3 - 3*c**4 + 273*c**2 - c**5 + 0*c**y - 274*c**2.
-c**2*(c + 1)**3
Let h(g) be the third derivative of g**6/24 - 257*g**5/12 + 27305*g**4/8 + 27735*g**3/2 + 1728*g*