*4 + 3/11*r**2 - 2/11*r. Solve d(j) = 0.
-1, 1
Let m(s) be the second derivative of -s**6/60 + s**5/5 + 11*s**4/24 - 3*s**3/2 - 1776*s. Factor m(a).
-a*(a - 9)*(a - 1)*(a + 2)/2
Let b be 7/((-140)/(-8)) - 865/(-25). Factor s**3 - s**2 + b - s + 23 - 57.
(s - 1)**2*(s + 1)
Let h = -14564/23 + 75028/115. Solve h*d**3 + 12*d**2 + 9/5*d + 0 = 0.
-3/8, -1/4, 0
Suppose -4*m - 87*x + 82*x = -3, -3*m + 15 = -9*x. Suppose -10/7*n**m + 10/7*n + 6/7*n**4 + 4/7 - 10/7*n**3 = 0. Calculate n.
-1, -1/3, 1, 2
Let p = 869 - 867. Let w(l) be the second derivative of p*l + 0 + 1/8*l**4 + 0*l**3 - 3/4*l**2. Factor w(i).
3*(i - 1)*(i + 1)/2
Factor -128 - 572/9*c + 2/9*c**2.
2*(c - 288)*(c + 2)/9
Suppose -109*f - 101 + 240 = -188. Let 8/7*m**2 - 20/7*m + 4/7*m**f - 24/7 = 0. What is m?
-3, -1, 2
Let p = 704 + -799. Let q be (2/16*-2)/(p/304). Factor 0 - q*y + 2/5*y**2 + 2/5*y**3.
2*y*(y - 1)*(y + 2)/5
Factor -168 - 8048/3*k**2 + 4030/3*k - 32/3*k**3.
-2*(k + 252)*(4*k - 1)**2/3
Let f(l) be the second derivative of -l**7/126 + 1441*l**6/90 - 518399*l**5/60 - 519841*l**4/36 + 9510*l. Factor f(r).
-r**2*(r - 721)**2*(r + 1)/3
Let u(p) be the first derivative of 10/9*p**3 + 2/45*p**5 + 13/9*p**2 + 302 + 8/9*p + 7/18*p**4. Factor u(y).
2*(y + 1)**3*(y + 4)/9
Let k(u) = -2*u**2 - 36*u + 264. Let p(t) = 4*t**2 + 74*t - 528. Let v(h) = 10*k(h) + 4*p(h). Solve v(r) = 0 for r.
-22, 6
Suppose 3*t + 2*c = -8, -5*t + c = -t + 29. Let m(q) = -q**3 - 6*q**2 + 3. Let j be m(t). Factor 6*r**5 + 17*r**j + 4*r**2 + 8*r**5 - 11*r**3 - 24*r**4.
2*r**2*(r - 1)**2*(7*r + 2)
Suppose -15*v - 268 - 92 = 0. Let q(s) = -38*s**2 - 60*s + 17. Let c(j) = -189*j**2 - 300*j + 84. Let y(d) = v*q(d) + 5*c(d). Let y(n) = 0. Calculate n.
-2, 2/11
Let s(f) be the second derivative of -f**5/20 + 709*f**4/12 + f**3/6 - 709*f**2/2 - 6360*f - 1. Factor s(h).
-(h - 709)*(h - 1)*(h + 1)
Let n = 22597 + -22597. Let p(l) be the third derivative of 1/840*l**7 + 0*l**6 + n*l + 0 + 0*l**4 + 1/24*l**3 + l**2 - 1/120*l**5. Suppose p(t) = 0. What is t?
-1, 1
Let c(t) be the third derivative of t**5/300 + 17*t**4/60 + 906*t**2. Factor c(l).
l*(l + 34)/5
Let j(x) be the third derivative of 1/210*x**5 - 1/3*x**3 - 1/14*x**4 + 0 + 21*x**2 + 0*x. Factor j(d).
2*(d - 7)*(d + 1)/7
Let z(q) be the first derivative of 7*q**6/4 - 297*q**5/5 + 1071*q**4/4 + 4904*q**3 + 46053*q**2/4 - 7803*q + 7230. What is d in z(d) = 0?
-3, 2/7, 17
Let p(t) = -4*t - 129. Let k be p(-33). Let 45393 - 204*b**2 + 15*b**4 + 54*b**k - 45393 + 72*b = 0. Calculate b.
-6, 0, 2/5, 2
Let o(w) be the second derivative of w**4/6 + 142*w**3/27 - 32*w**2/9 - 2177*w. Suppose o(v) = 0. What is v?
-16, 2/9
Let f(v) be the second derivative of v**7/21 + 8*v**6/45 + 2*v**5/15 - v**4/3 - 7*v**3/9 - 2*v**2/3 + 1250*v. Find h, given that f(h) = 0.
-1, -2/3, 1
Let v(p) = 36*p - 125. Let b be v(9). Suppose b*g = 201*g. Factor 0 - 3/2*z**4 - 9/2*z**2 + g*z - 6*z**3.
-3*z**2*(z + 1)*(z + 3)/2
Factor 0*y**2 + 25*y**2 + 8776 - 9916 - 2840*y.
5*(y - 114)*(5*y + 2)
Suppose -g - 34 + 37 = 0. Factor -3*s**5 - 24*s**3 + 13*s**4 + 20*s + 3*s**5 - s**5 + 5*s - 10*s**2 - g*s**4.
-s*(s - 5)**2*(s - 1)*(s + 1)
Let u(f) be the third derivative of 0 + 2/45*f**6 + 1/18*f**4 - 1/9*f**5 - 111*f**2 + 0*f + 0*f**3. Solve u(g) = 0.
0, 1/4, 1
Let p(a) be the first derivative of 2/3*a**2 - 6/5*a - 2/45*a**3 + 129. Solve p(d) = 0 for d.
1, 9
Let f = -1827 + 3453. Factor 0*r**2 - 1802*r + 2*r**2 - 1474 + f*r + 5346.
2*(r - 44)**2
Suppose -85452543*v**3 + 85452433*v**3 + 44*v**2 + 98*v + 320*v**2 + 8*v**4 = 0. What is v?
-1/4, 0, 7
Let v = -1481 - -10426/7. Let a = v + -274/35. Factor 0 - a*t**2 + 0*t - 7/5*t**4 + 2*t**3.
-t**2*(t - 1)*(7*t - 3)/5
Let q(b) be the first derivative of b**7/63 + b**6/45 + 23*b + 98. Let s(d) be the first derivative of q(d). Solve s(f) = 0 for f.
-1, 0
Let z(c) be the first derivative of 3*c**4/8 + 173*c**3/6 - 204*c**2 - 310*c - 7256. Find g such that z(g) = 0.
-62, -2/3, 5
Let m(z) be the first derivative of 2*z**6/105 - 8*z**4/21 + 32*z**2/7 - 19*z + 70. Let t(y) be the first derivative of m(y). Let t(c) = 0. What is c?
-2, 2
Let d(u) = -15*u**2 + 134825*u - 113569000. Let v(c) = -2*c**2 + 16853*c - 14196125. Let k(r) = 3*d(r) - 25*v(r). Solve k(t) = 0 for t.
1685
Let n(a) be the second derivative of -a**4/4 + 1807*a**3 - 9795747*a**2/2 - 6772*a. Suppose n(w) = 0. What is w?
1807
Let o be (-14)/63 - ((-35336)/(-18))/4. Let j = o + 491. Find v, given that 1/5*v + 3/5*v**3 + 1/5*v**4 + 3/5*v**2 + j = 0.
-1, 0
Let w = -806619 - -806622. Let -12/7*v**w + 9/7 + 48/7*v**2 - 39/7*v = 0. Calculate v.
1/2, 3
Let 0 + 4/7*x - 2/7*x**2 = 0. What is x?
0, 2
Let p(i) be the third derivative of -i**7/280 - 421*i**6/160 - 5459*i**5/10 + 8427*i**4/2 - 60*i**2 + 1. Determine k, given that p(k) = 0.
-212, 0, 3
Let i be 58/44 + (-8)/(-528) + (-1)/(-6). Let o(h) be the first derivative of -i*h**2 + 3/4*h**4 - h**3 + 1 + 0*h + 3/5*h**5. What is b in o(b) = 0?
-1, 0, 1
Factor -6441*b**2 + 8878*b**3 - 17760*b**3 + 3460428 + 8879*b**3 - 3529306*b + 75322*b.
-3*(b - 1)*(b + 1074)**2
Let x(q) be the second derivative of q**4/8 - 301*q**3 + 271803*q**2 + 982*q. Factor x(g).
3*(g - 602)**2/2
Suppose 427 = 18*a + 337. Let x(q) be the third derivative of 0*q + 5/156*q**4 - 1/780*q**6 + 0 + 2/13*q**3 - 1/195*q**a - 25*q**2. Factor x(s).
-2*(s - 2)*(s + 1)*(s + 3)/13
Let n(m) be the first derivative of -m**5/70 - m**4/42 + 77*m + 74. Let u(p) be the first derivative of n(p). Find x, given that u(x) = 0.
-1, 0
Let x be 9*3*(-745)/(-45). Let v = 447 - x. Solve 0 - 1/3*y**3 + v*y - 1/6*y**2 + 1/2*y**4 = 0 for y.
-1/3, 0, 1
Let w(x) be the third derivative of -x**6/20 - 131*x**5/20 - 264*x**4 + 1089*x**3/2 + 51*x**2. Factor w(d).
-3*(d + 33)**2*(2*d - 1)
Let r = -21939 + 21939. Let x(p) be the third derivative of 8*p + 0 + 1/100*p**5 + p**2 + r*p**3 + 1/120*p**4 + 1/1050*p**7 + 1/200*p**6. Factor x(a).
a*(a + 1)**3/5
Let c(x) be the second derivative of -x**5/80 + x**4/12 + x**3/24 - x**2/2 + 2*x - 137. Factor c(u).
-(u - 4)*(u - 1)*(u + 1)/4
Let n(d) be the first derivative of -d**4/18 - 38*d**3/27 - 35*d**2/9 - 34*d/9 - 1276. Factor n(f).
-2*(f + 1)**2*(f + 17)/9
Suppose 4*v + 5*n + 3 = 0, 4*v + 0*n = -n - 7. Let j be (v/(-11))/((250/(-160))/(-25)). Let -2/11*b**3 - 14/11*b**2 - 16/11*b + j = 0. What is b?
-4, 1
Let n be (-306)/459*((-2)/(-9) - 340/72). Let v = 176/3 + -58. Solve -s**n - 2/3*s**4 + v*s**2 + 0*s + 0 + s**5 = 0 for s.
-1, 0, 2/3, 1
Let k(q) be the first derivative of q**4/32 + 35*q**3/8 + 3243*q**2/16 + 24299*q/8 + 5106. Solve k(r) = 0 for r.
-47, -11
Let q(n) be the second derivative of n**7/21 + 319*n**6/10 + 5688*n**5 - 172799*n**4/12 + 80*n**3 + 28800*n**2 - 2824*n. Let q(t) = 0. What is t?
-240, -1/2, 1
Let c(w) = w**2 - 1470*w + 36008. Let v(k) = -980*k + 24005. Let q = 381 + -386. Let i(o) = q*c(o) + 7*v(o). Find j such that i(j) = 0.
49
Let t(y) be the third derivative of -y**5/15 + 277*y**4/3 + 2224*y**3/3 + y**2 + 8363*y. Factor t(o).
-4*(o - 556)*(o + 2)
Suppose 0*r + 4*r = r. Suppose 6*d**2 - 24 + 35*d + r*d**2 + 20*d**4 + 17*d - 52*d**3 - 2*d**2 = 0. What is d?
-1, 3/5, 1, 2
Let p(u) = 17*u**3 + 8*u**2 - 473*u + 726. Let r(j) = -j**4 - 9*j**2. Let k(l) = -p(l) + r(l). Factor k(v).
-(v - 3)*(v - 2)*(v + 11)**2
Let j = 13474 - 13463. Let t(y) be the first derivative of 27/4*y + 9/4*y**2 + 1/4*y**3 - j. What is o in t(o) = 0?
-3
Suppose 2*v - 23 = -1027*t + 1030*t, -5*v = -t - 77. Factor -6*p + 1/2*p**4 - 3*p**t + 13/2*p**2 + 2.
(p - 2)**2*(p - 1)**2/2
Factor -2*w + 143*w**2 + 73*w**2 - 44*w**2 - 20 + 20.
2*w*(86*w - 1)
Let j = 489 + -485. Let k be (-3)/(3 - j) - 0. Factor 0*o**2 + 2/17*o**k - 14/17*o + 12/17.
2*(o - 2)*(o - 1)*(o + 3)/17
Let v(k) be the third derivative of 0*k + 5 + 3/8*k**4 + 1/20*k**5 + 0*k**3 + 3*k**2. Factor v(n).
3*n*(n + 3)
Let t(o) be the first derivative of 0*o**3 + 0*o + 12 + 4/5*o**5 + 0*o**2 + 1/2*o**4 + 1/3*o**6. Suppose t(w) = 0. Calculate w.
-1, 0
Let v(w) be the third derivative of w**5/30 - 37*w**4/6 - 25*w**3 - 12*w**2 + 43. Let v(s) = 0. What is s?
-1, 75
Suppose 0 - 2*a**3 + 2/11*a**4 - 370/11*a**2 - 1050/11*a = 0. What is a?
-5, 0, 21
Let d(p) be the third derivative of -29 - 2/35*p**7 - 1/15*p**6 - 1/84*p**8 + 0*p + 2/15*p**5 