o**2 + 2*o. Solve a(p) = 0.
11/5, 9
Factor s**3 - 1961 + 3759 + 7*s**2 + 26*s**2 - 73*s - 1903.
(s - 3)*(s + 1)*(s + 35)
Let u(r) be the third derivative of -19*r**7/350 - 23*r**6/200 + 11*r**5/100 + 3*r**4/8 + 2312*r**2 - 1. Find t such that u(t) = 0.
-1, 0, 15/19
Let q = 2074 - 2068. Let t(b) be the second derivative of 0*b**2 + 1/3*b**3 - 15*b + 0 + 9/10*b**5 + b**4 + 4/15*b**q. Factor t(z).
2*z*(z + 1)**2*(4*z + 1)
Let p(c) = 10*c + 28. Let y(l) = 9*l + 28. Let v(f) = -3*p(f) + 4*y(f). Let w be v(-4). Factor -2 - 85*r**3 - 8*r**2 + 89*r**3 + 10 - w*r.
4*(r - 2)*(r - 1)*(r + 1)
Let x = 397 + -394. Suppose 10*r - 5*r - p - 11 = 0, 3*p = 3*r + x. Let 12/5*h**4 + 0 - 9/5*h**5 + 0*h - 6/5*h**2 + r*h**3 = 0. Calculate h.
-1, 0, 1/3, 2
Let b(q) be the second derivative of q**5/210 + 20*q**4/63 - 172*q**3/63 + 176*q**2/21 + 14527*q. Factor b(z).
2*(z - 2)**2*(z + 44)/21
Let c be 4 - (1260/48)/7. Let j(y) be the second derivative of 5/2*y**3 + 5/2*y**2 + 0 + c*y**5 + 5/4*y**4 + 14*y. What is v in j(v) = 0?
-1
Let i = 255 + -246. Let w(p) = -2*p + 21. Let v be w(i). Let -32/5 - 16/5*b**2 - 8*b - 2/5*b**v = 0. What is b?
-4, -2
Let a(l) be the second derivative of -16/13*l**2 - 1/78*l**4 - 8/39*l**3 + 0 + 138*l. Determine m so that a(m) = 0.
-4
Let z = -78 - -80. Suppose -436 - 15*j**3 - 3*j**z - 19*j + 472 + 3*j**4 + 70*j = 0. Calculate j.
-1, 3, 4
Let j(r) = 4*r**3 - 536*r**2 - 29268*r - 28794. Let u(h) = -19*h**3 + 2671*h**2 + 146342*h + 143971. Let q(m) = 29*j(m) + 6*u(m). Determine s so that q(s) = 0.
-120, -1
Let x(t) be the first derivative of -t**4/16 - 185*t**3/6 - 367*t**2/2 - 366*t + 4665. Factor x(n).
-(n + 2)**2*(n + 366)/4
Let q = 802832 - 802828. Let 40/7 - 4/7*k**3 + 2/7*k**q - 8/7*k - 30/7*k**2 = 0. What is k?
-2, 1, 5
Let n(b) be the third derivative of -243*b**2 + 0 + 0*b**3 + 7/120*b**6 + 0*b + 1/35*b**7 + 1/24*b**4 - 1/10*b**5 - 1/42*b**8. Find c, given that n(c) = 0.
-1, 0, 1/4, 1/2, 1
Suppose 335*u = -712*u + 293*u. Suppose -2/9*x**3 + 2/3*x**2 + u*x - 8/9 = 0. Calculate x.
-1, 2
Let h(l) be the second derivative of 121/4*l**3 + 1 + 1/40*l**5 - 1331/4*l**2 - 11/8*l**4 + 35*l. Factor h(q).
(q - 11)**3/2
Suppose k - l = -5, -16*k + 188 = -2*l + 128. Factor 2/5 + k*w - 93/5*w**2.
-(3*w - 1)*(31*w + 2)/5
Let s(m) = -m**3 - 1499*m**2 - 2959*m - 1521. Let h(c) = 30*c**3 + 43470*c**2 + 85800*c + 44110. Let j(k) = -6*h(k) - 175*s(k). Factor j(r).
-5*(r - 303)*(r + 1)**2
Let r = 29 - 26. Let v be (0 - r)*(-8)/3. Factor 4*n**2 - 5 - 6 - v*n**2 - 4*n**3 + 4*n + 15.
-4*(n - 1)*(n + 1)**2
Let f(d) be the first derivative of -4*d**3/3 + 5548*d**2 - 7695076*d + 3148. Suppose f(v) = 0. Calculate v.
1387
Suppose -34*l = -10*l - 1 + 1. Let u(s) be the third derivative of 0*s + l + 9*s**2 - 3/8*s**4 + 0*s**3 - 1/5*s**5 - 1/40*s**6. Factor u(i).
-3*i*(i + 1)*(i + 3)
Find m, given that 201/8*m**2 - 83/8*m**3 + 1/8*m**5 - 63/4*m + 7/8*m**4 + 0 = 0.
-14, 0, 1, 3
Factor 24 + 2/3*h**2 + 40/3*h.
2*(h + 2)*(h + 18)/3
Let k = -2915 + 14576/5. Let d(p) be the third derivative of 17*p**2 + 0 + 0*p + 9/40*p**6 - 1/56*p**8 - k*p**5 - 1/2*p**4 + 1/70*p**7 + 0*p**3. Solve d(t) = 0.
-2, -1/2, 0, 1, 2
Let p(i) be the third derivative of 2*i**7/105 - 13*i**6/30 + 14*i**5/15 + 44*i**4/3 - 1896*i**2. Factor p(d).
4*d*(d - 11)*(d - 4)*(d + 2)
Let r(g) be the second derivative of 3*g**5/20 + 27*g**4/2 + 102*g**3 + 300*g**2 - 7181*g. Factor r(p).
3*(p + 2)**2*(p + 50)
Let d(a) be the first derivative of -21/2*a**2 + 1/6*a**6 + 63 + 5*a**4 + 10*a - 12/5*a**5 + 2/3*a**3. Factor d(j).
(j - 10)*(j - 1)**3*(j + 1)
Let w = -421172 + 1263518/3. Let l be (-2)/6*2/(-2). Solve 0 + l*g**3 + w*g**2 + 1/3*g = 0 for g.
-1, 0
Let u = -47290 + 47292. Let j = -1 - -5. Suppose 8/13 - 2/13*i**j + 8/13*i - 8/13*i**3 - 6/13*i**u = 0. Calculate i.
-2, -1, 1
Let v = 1528549 - 16801157/11. Let b = 1172 - v. Find g such that -4/11*g + 6/11*g**5 - 2/11*g**3 - b*g**4 + 10/11*g**2 + 0 = 0.
-1, 0, 2/3, 1
Suppose 15 = -3*q, o + q = 5*o - 29. Suppose 27*z = 68 - 14. Let -o - t**z - 1875*t - t**2 + 1867*t = 0. Calculate t.
-3, -1
Let m(t) be the first derivative of -292008*t - 138*t**3 - 3/4*t**4 - 101 - 9522*t**2. Find h such that m(h) = 0.
-46
Let q be -582 + -6*3/6. Let l be (13/(q/27))/(0 - 1). Factor l*c**3 - 108/5 + 72/5*c + 33/5*c**2.
3*(c - 1)*(c + 6)**2/5
Let g(y) = y**2 - 27*y + 94. Let k be g(4). Let a be ((-46)/(-161))/((1 + 0)*k). Factor 0 - a*c**4 + 0*c - 1/7*c**2 - 2/7*c**3.
-c**2*(c + 1)**2/7
Factor 16/9 + 3568/9*c + 198916/9*c**2.
4*(223*c + 2)**2/9
Factor 470 - f**3 + 475*f + 464*f + 289*f**2 + 179*f**2.
-(f - 470)*(f + 1)**2
Let l = 24 - 24. Let w = 32918 - 32918. Find q such that 8/7*q**2 + w - 4/7*q**3 + l*q = 0.
0, 2
Let b(r) be the third derivative of r**5/12 + 595*r**4/12 + 395*r**3/2 + 12*r**2 - 18*r + 6. Factor b(l).
5*(l + 1)*(l + 237)
Suppose -3*x = -5*a - 27 - 3, 4*a + 22 = 2*x. Suppose 12 = -38*i + 42*i, 0 = x*z + 5*i - 55. What is d in 10*d**3 + z*d + 128/3*d**2 - 32/3 = 0?
-4, -2/3, 2/5
Let a be (8/6)/(-4) - (-112)/12. Suppose 0 = 3*q - 9 - a. Factor -t**5 + 7*t**4 - 3*t**3 + 2*t**4 - 2*t**2 + 3*t**2 - q*t**4.
-t**2*(t - 1)**3
Let y(w) be the second derivative of 1/9*w**3 - 1/36*w**4 + 1/90*w**6 - 1/30*w**5 + 2*w + 0*w**2 - 7. Factor y(i).
i*(i - 2)*(i - 1)*(i + 1)/3
Let l = 940 + -937. Suppose -33*h = -127 - 5. Factor 1/5*d**2 - 1/5*d - 1/5*d**h + 0 + 1/5*d**l.
-d*(d - 1)**2*(d + 1)/5
Let c be -29 - 1098*(-14)/504. Let -1/2*v**3 - 2 + 0*v + c*v**2 = 0. Calculate v.
-1, 2
Let m(v) be the third derivative of -v**7/1050 + 13*v**6/600 - 19*v**5/100 + 19*v**4/24 - 5*v**3/3 + 1962*v**2. Find t such that m(t) = 0.
1, 2, 5
Let s(k) = -6*k**2 + 6*k - 34*k**3 + 0*k - 1 - 1 + 32*k**3 + 2*k**4. Let v(t) = -4*t**4 + 5*t**3 + 12*t**2 - 13*t + 5. Let b(f) = 5*s(f) + 2*v(f). Factor b(h).
2*h*(h - 1)**2*(h + 2)
Let q be 25/2625*14*180. Let v(i) be the second derivative of 1/4*i**4 + 0*i**2 + 0 - q*i - 1/70*i**6 - 3/70*i**5 - 2/7*i**3. Factor v(m).
-3*m*(m - 1)**2*(m + 4)/7
Let k(q) be the first derivative of 48*q**3/17 - 1015*q**2/17 + 444*q/17 - 1379. What is j in k(j) = 0?
2/9, 111/8
Let g(d) = 5*d**3 + 2810*d**2 + 5657*d + 2816. Let f(l) = -7*l**3 - 2809*l**2 - 5662*l - 2815. Let w(y) = -4*f(y) - 5*g(y). Determine t so that w(t) = 0.
-1, 940
Let n(f) = 54*f**2 - 105*f + 924. Let o(i) = 13*i**2 - 26*i + 229. Let v(c) = -8*n(c) + 33*o(c). Factor v(x).
-3*(x - 5)*(x + 11)
Let g(h) be the first derivative of -9 + 0*h - 13/2*h**2 + 1/24*h**4 - 1/60*h**5 + h**3. Let c(u) be the second derivative of g(u). Factor c(s).
-(s - 3)*(s + 2)
Suppose -7*y - 29970 = 47*y. Let m = y + 3331/6. Factor -m*w**2 + 5/6 + 2/3*w.
-(w - 5)*(w + 1)/6
Let s(k) = -2*k**3 + 3*k**2 + 2*k + 3. Let y be s(2). Solve 1122*l**3 - 247*l**3 - 1295*l**4 - 150*l**y - 100*l + 710*l**2 + 980*l**3 - 40 - 980*l**5 = 0.
-2, -2/7, 1/4, 1
Let r(c) be the third derivative of 8*c**7/21 - 299*c**6/30 - 112*c**5/5 - c**4/6 + 32*c**3/3 + 4784*c**2. Suppose r(f) = 0. Calculate f.
-1, -1/4, 1/5, 16
Let f(i) be the first derivative of 156 + 3*i - i**2 - 1/3*i**3. Factor f(m).
-(m - 1)*(m + 3)
Let u(a) be the third derivative of a**7/105 + 13*a**6/60 + 3*a**5/2 + 11*a**4/12 - 70*a**3/3 - a**2 - 2*a - 1064. Let u(w) = 0. What is w?
-7, -5, -2, 1
Suppose 5*j - 21 = 9. Let m(i) = -i + 16. Let s be m(j). Solve 4*a**4 - 4*a**4 + 13*a - s*a**3 + 5*a**2 - 3*a - 5*a**4 = 0.
-2, -1, 0, 1
Factor 1/6*j**3 + 73/3*j**2 - 5476/3 + 2590/3*j.
(j - 2)*(j + 74)**2/6
Factor -278*y**2 + 96*y**2 - 1930*y + 99*y**2 - 3880 + 88*y**2.
5*(y - 388)*(y + 2)
Let y(o) = -3 - 12 + 2*o - 3. Let q be y(11). Factor -18*f**3 - 6*f**5 - q*f**2 - 6*f**2 + 33*f**3 + f**5.
-5*f**2*(f - 1)**2*(f + 2)
Let j(r) be the second derivative of r**5/180 - r**4/6 + 5*r**3/18 + 17*r**2/9 - 123*r - 2. Suppose j(d) = 0. What is d?
-1, 2, 17
Let g(l) be the third derivative of l**6/240 - 7*l**4/12 + 4*l**3 + 34*l**2 + 2*l - 1. Determine a so that g(a) = 0.
-6, 2, 4
Let x(j) be the first derivative of j**7/315 - j**6/45 - j**5/90 + j**4/9 - j**2/2 + 8*j + 101. Let r(m) be the second derivative of x(m). Factor r(v).
2*v*(v - 4)*(v - 1)*(v + 1)/3
Determine n, given that 56/11*n**4 + 2/11 - 49/11*n**3 - 16/11*n**5 - 4/11*n**2 + n = 0.
-1/4, 1, 2
Let n be (-1348)/644 - (29 - 31). Let v =