 26)/15
Let d be ((-312)/(-5))/(116/3770). Solve 0*h**3 + 8788 + d*h + 156*h**2 + 500*h - 500*h + 4*h**3 = 0 for h.
-13
Let r be 1 + 1 - 43751/(-201). Let k = r - 1279/6. Factor -k*v**2 + v**3 - 9/2 + 12*v.
(v - 3)**2*(2*v - 1)/2
Let w = 1777 + -1777. Let q(s) be the first derivative of -2/3*s + 1 - 1/12*s**4 + w*s**3 + 1/2*s**2. Find h such that q(h) = 0.
-2, 1
Let u(a) = 23*a + 188. Let z = -279 + 271. Let g be u(z). Determine t so that 8/3*t**3 - 4*t**4 - g*t + 4/3*t**5 + 4/3 + 8/3*t**2 = 0.
-1, 1
Let p be (63*(-26)/(-43680))/(4/5). Let k(t) be the third derivative of 0 + 1/8*t**3 + 0*t + 1/160*t**5 + 28*t**2 - p*t**4. Factor k(q).
3*(q - 2)*(q - 1)/8
Let n = -2743 - -2746. Let b(o) be the second derivative of -o**2 + 0 - 1/6*o**n + o + 1/12*o**4. Solve b(v) = 0.
-1, 2
Let x(h) be the first derivative of 0*h**2 - 3*h**5 - 35/4*h**4 + 135 + 10*h**3 + 0*h. Suppose x(r) = 0. Calculate r.
-3, 0, 2/3
Let i(z) be the third derivative of z**5/45 + 49*z**4/18 + 32*z**3/3 + 1962*z**2. Factor i(s).
4*(s + 1)*(s + 48)/3
Factor -36 - 130/7*d - 2/7*d**2.
-2*(d + 2)*(d + 63)/7
Let b be ((-60)/(-42))/(1683/2233) + (-14)/119. Find q such that 2/9*q**3 + 4/9*q**2 - b*q + 0 = 0.
-4, 0, 2
Suppose -3*b + 3*v - 147 = -4*b, -306 = -2*b - 2*v. Factor 4*i**2 - 3042 + 4*i**2 - b*i - 20*i**2 + 5*i**2 + 5*i**2.
-2*(i + 39)**2
Let i(q) be the second derivative of -q**5/40 + 1139*q**4/8 - 1297321*q**3/4 + 1477648619*q**2/4 + 1582*q. Suppose i(z) = 0. What is z?
1139
Suppose -1348*h + 1345*h = -3*j + 24, -h = j - 12. Factor -1/3*b**5 - 54 + 45*b + 10/3*b**4 + 0*b**h - 10*b**3.
-(b - 3)**4*(b + 2)/3
Suppose -839*z - 262 = -2779. Determine b, given that -94/11*b**2 - 92/11*b - 18/11*b**z - 16/11 = 0.
-4, -1, -2/9
Let o(h) = -32*h**4 - 26*h**3 + 133*h**2 - 129*h - 711. Let n(f) = 3*f**4 + 4*f**3 - 2*f**2 + f - 1. Let l(j) = 9*n(j) + o(j). Factor l(x).
-5*(x - 4)**2*(x + 3)**2
Suppose 2*o - 3 + 1 = 0. Suppose -2*r + 3*p = -7, -4*r + 2*p + 9 = -o. Factor -504*q**2 - 3*q**4 - 2*q**4 + 509*q**r.
-5*q**2*(q - 1)*(q + 1)
Let n be 3/99*48/(-10) - 2016/(-3696). Factor -8/5 + 11/5*v**3 - 12/5*v + 6/5*v**4 + n*v**2 + 1/5*v**5.
(v - 1)*(v + 1)*(v + 2)**3/5
Let p(m) be the third derivative of 2*m**2 + 10*m + 5/672*m**8 + 1/24*m**4 + 0 - 1/16*m**6 - 1/420*m**7 + 0*m**3 - 7/120*m**5. Find x, given that p(x) = 0.
-1, 0, 1/5, 2
Factor 34/13*n + 76/13 - 2/13*n**2.
-2*(n - 19)*(n + 2)/13
Let c(d) be the third derivative of d**6/540 - 97*d**5/135 - 995*d**4/108 - 189*d**2 + d - 3. Find f, given that c(f) = 0.
-5, 0, 199
Let x(k) be the first derivative of 4*k**3 + 4330*k**2 - 2888*k - 1268. Determine n so that x(n) = 0.
-722, 1/3
Let h(t) = -21*t**3 + 159*t**2 + 501*t + 357. Let l(s) = -2*s**3 + 2*s**2 - 1. Let r(f) = h(f) - 12*l(f). Solve r(n) = 0 for n.
-41, -3, -1
Suppose -3*s + 0 = 2*u - 1, -4*s - 8 = -2*u. Factor -u*q**4 + 2*q**4 - 1118*q + 1224*q**2 - 178*q + 71*q**3 + q**4.
q*(q - 1)*(q + 36)**2
Let j(h) be the second derivative of -h**6/150 + h**5/5 + 47*h**4/60 - 11*h**3/5 + 10312*h. Find w such that j(w) = 0.
-3, 0, 1, 22
Let i(g) be the third derivative of g**8/2184 - 2*g**7/455 - 189*g**6/260 + 50*g**2 - 15*g - 3. Solve i(f) = 0 for f.
-21, 0, 27
Let g(v) = v**3 + 5*v**2 - 7*v - 4. Let k be g(-6). Suppose -2*m + 4*q = -m - 44, 4*q = k*m - 76. Factor 68*t**2 - 48*t**2 + 4*t**3 - 4 - m*t**2 + 12*t.
4*(t - 1)**3
Suppose 6 = 2*o, -3*y + 2*o - 125 + 128 = o. Factor -81/2 + 1/2*u**3 + 63/2*u + 17/2*u**y.
(u - 1)*(u + 9)**2/2
Let h(d) = 3*d**2 + 12*d + 13. Let i be h(-1). Let t + 12*t**3 - 13*t**4 + 12*t**2 - 15*t**4 + 0*t**2 + 3*t + 32*t**i = 0. What is t?
-1, 0
Let t(x) be the second derivative of -5*x**7/42 + 14*x**6 + 25*x**5 - 3245*x**4/6 + 3275*x**3/2 - 2125*x**2 + 9608*x. Let t(a) = 0. What is a?
-5, 1, 2, 85
Let p = -1 - -1. Suppose 39*c - 36*c - 55 = 2*g, -2*c - 122 = -41*g. Suppose 4/5*i**2 + 2/5*i**5 + p + 0*i**3 - 4/5*i**g - 2/5*i = 0. Calculate i.
-1, 0, 1
Determine y so that 15730*y - 45*y**2 - 8*y**3 - 31302*y + 3*y**3 + 15682*y = 0.
-11, 0, 2
Factor -609*n + 60 + 1812*n - 1262 + 273*n**2 - 274*n**2.
-(n - 1202)*(n - 1)
Let s(c) be the first derivative of -2*c**5/5 - 61*c**4/2 - 798*c**3 - 6615*c**2 + 37044*c + 2072. Factor s(t).
-2*(t - 2)*(t + 21)**3
Let m(v) be the first derivative of -2*v**3/9 + v**2 + 1196*v/3 + 5332. Factor m(p).
-2*(p - 26)*(p + 23)/3
Let y(c) = -3*c**4 - 318*c**3 + 21*c**2 + 318*c. Let q(k) = -7*k**4 - 636*k**3 + 46*k**2 + 636*k. Let i(x) = 6*q(x) - 13*y(x). Solve i(j) = 0 for j.
-1, 0, 1, 106
Let q(n) = n - 8. Let v be q(10). Factor -6*r + 33*r + 12*r**2 + r**v - 27*r**3 + 3*r**4 - 16*r**2.
3*r*(r - 9)*(r - 1)*(r + 1)
Let h(c) be the second derivative of c**7/294 + c**6/105 - 41*c**5/140 + 31*c**4/42 + 20*c**3/21 - 32*c**2/7 - 5*c + 253. Solve h(l) = 0 for l.
-8, -1, 1, 2, 4
Let n = -142 - -145. Factor -16*p**3 - 6*p + 9*p**3 + 20 - 12*p**2 + 2*p**3 + 3*p**n.
-2*(p - 1)*(p + 2)*(p + 5)
Find c such that 2*c**4 - 9*c**4 + 3328 - 783*c + 212*c - 236*c**3 - 1488*c**2 - 1029*c + 3*c**4 = 0.
-52, -4, 1
Factor 22*f**4 - 15485*f**3 + 15457*f**3 - 2*f**4 - 24*f**2.
4*f**2*(f - 2)*(5*f + 3)
Let l(u) be the first derivative of -u**6/63 + 6*u**5/5 - 297*u**4/14 - 726*u**3/7 + 923. Suppose l(i) = 0. Calculate i.
-3, 0, 33
Let l(m) be the third derivative of -m**8/168 - 4*m**7/35 + m**6/12 + 2*m**5 - m**4/3 - 16*m**3 - 223*m**2. What is j in l(j) = 0?
-12, -2, -1, 1, 2
Let m(y) be the third derivative of 9*y**8/11200 - 2*y**7/525 - y**6/300 + 2*y**4/3 - y**3/6 - 197*y**2. Let l(c) be the second derivative of m(c). Factor l(v).
3*v*(v - 2)*(9*v + 2)/5
Let g = 2/13391 + 13361/200865. Let b(r) be the third derivative of -24*r**2 + 0 + 1/6*r**4 + g*r**5 - 4/3*r**3 + 0*r. Factor b(w).
4*(w - 1)*(w + 2)
Suppose 4*u = a + 13, u = 3*a - 8 + 3. Suppose 44*l - 10*l = -36*l + 210. Factor -4*x**2 + a*x**3 + 20*x - 5*x**3 + 3*x**l + 16 + 12*x**2.
(x + 2)**2*(x + 4)
Suppose -6*d + 4*d = -38. Factor d*m - 36 + 18*m - 9*m + 6*m + 2*m**2.
2*(m - 1)*(m + 18)
Suppose -152*d**4 - 962/3*d**3 - 676/3*d**2 - 24*d**5 + 0*d + 0 = 0. Calculate d.
-13/6, -2, 0
Suppose 195 = 12*v - 117. Suppose 4*a + v*a = 0. Factor -6/5*b**4 - 8/5*b**5 + 0*b + 2/5*b**3 + 0*b**2 + a.
-2*b**3*(b + 1)*(4*b - 1)/5
Let v(d) be the third derivative of -2 + 0*d + 1/80*d**5 + 0*d**3 + 118*d**2 + 3/16*d**4. Let v(t) = 0. Calculate t.
-6, 0
Factor -45*v**3 - 391 + 33*v**3 + 86*v**2 + 23*v**3 + 377 + 61*v.
(v + 1)*(v + 7)*(11*v - 2)
Find q, given that -2*q**4 + 18*q**3 - 16*q**2 + 126*q - 675 + 110*q**2 + 727 = 0.
-2, -1, 13
Let g be ((-7 - -10) + -4)*168/1. Let s be -5*(g/385 + 0). Factor -8/11*r - 26/11*r**2 + s - 8/11*r**3.
-2*(r + 2)**2*(4*r - 3)/11
Let g(i) be the second derivative of -i**4/72 - 839*i**3/9 - 703921*i**2/3 - i - 3900. Factor g(b).
-(b + 1678)**2/6
Let q(a) be the third derivative of -a**5/120 - 241*a**4/24 - 58081*a**3/12 + 1680*a**2. Factor q(s).
-(s + 241)**2/2
Let q = 7082 + -7082. Let b(p) be the third derivative of 0*p + 1/450*p**5 + q + 1/90*p**4 - 1/15*p**3 - 4*p**2. Suppose b(t) = 0. What is t?
-3, 1
Let v be 9 - (-200)/(-2 + -8) - -16. Let x(u) be the third derivative of 3/2*u**3 + 31*u**2 + 0*u - 1/2*u**4 + 0 - 7/20*u**v. Factor x(l).
-3*(l + 1)*(7*l - 3)
What is p in -233*p + 54289/2 + 1/2*p**2 = 0?
233
Let -20 + 9*c + 21/2*c**2 + 1/2*c**3 = 0. Calculate c.
-20, -2, 1
Let x = 770532 - 770530. Determine m so that 16/3 + 2/9*m**x - 22/9*m = 0.
3, 8
Solve -145*d - 3*d**4 + 456*d + 36*d**2 + 391*d - 66*d - 912 - 57*d**3 = 0 for d.
-19, -4, 2
Factor 197/5*w**2 - 397/5*w + 1/5*w**3 + 199/5.
(w - 1)**2*(w + 199)/5
Let w(j) be the third derivative of j**5/5 - 11*j**4/8 - 10*j**3 + 1363*j**2. Determine v so that w(v) = 0.
-5/4, 4
Solve 29*j**2 - 23*j**2 - 28*j**3 + 481090*j**4 + 42*j**2 - 481086*j**4 = 0 for j.
0, 3, 4
Let d(p) = -2*p**3 - 175*p**2 - 340*p + 521. Let w(s) = -8*s**3 - 525*s**2 - 1020*s + 1564. Let g(f) = 11*d(f) - 4*w(f). Find r, given that g(r) = 0.
-15, -7/2, 1
Let j = 1007 + -417. Suppose -8*y - 4*c = -3*y - 589, -j = -5*y - 5*c. Find g, given that -216/5*g**3 + 0 + y*g**2 + 21/5*g**4 - 30*g = 0.
0, 2/7, 5
Let j(d) = -13*d**2 + 1422*d - 1391. Let s(p) = -3*p**2 + 355*p - 348. Let b(t) = -2*j(t) + 9*s(t). Suppose b(k) = 0. What is k?
1, 350
Let w(k) = -3*k. Let q be w(