4597 + 473*j = 0.
-4, 311
Let i be (6/80)/(342/855). Let s(l) be the first derivative of -i*l**4 - 3/2*l - l**3 - 16 - 15/8*l**2. Factor s(c).
-3*(c + 1)**2*(c + 2)/4
Let z(t) be the second derivative of t**4/90 + 377*t**3/45 - 126*t**2/5 - 94*t + 4. Solve z(j) = 0 for j.
-378, 1
Let n(h) be the third derivative of -11/12*h**4 + 7*h**2 + 0*h + 0 + 1/3*h**5 + 1/60*h**6 + 0*h**3. Factor n(a).
2*a*(a - 1)*(a + 11)
Let w(t) = -4*t**3 - 88*t**2 - 140*t - 104. Let i(x) = 3*x**2 + x + 2. Let y(u) = 12*i(u) + w(u). Let y(h) = 0. What is h?
-10, -2, -1
Let r = 347/9 - 3467/90. Let d(w) be the second derivative of -r*w**6 + 1/20*w**5 + 1/12*w**4 - 1/6*w**3 + 0 + 0*w**2 + 14*w. Determine q so that d(q) = 0.
-1, 0, 1
Let w = -7409861/523 - -14168. Let k = w - -14629/2615. Find n such that -2/5*n**4 + 14/5*n**3 + 0 + 16/5*n - k*n**2 = 0.
0, 1, 2, 4
Let l be (-3)/2*(-8)/6. Suppose -2 = -62*v + 66*v - 5*c, 0 = 5*v + 4*c - 18. Determine i so that -17*i - 2 - 6 - 551*i**v - i**3 + 541*i**l = 0.
-8, -1
Suppose 2*m + 62 = 8. Let f(c) = -c**2 - 26*c + 30. Let j be f(m). Find w, given that -57*w - 27*w**j + 3*w**4 - 38*w + 81*w**2 + 12*w + 2*w = 0.
0, 3
Factor -25/3 + 5/6*k**3 + 85/6*k - 20/3*k**2.
5*(k - 5)*(k - 2)*(k - 1)/6
Let m(d) = d**3 - 10*d**2 + 2*d - 38. Let s be m(11). Let s*i**2 - 169*i**2 - 19*i**3 + 23*i**3 = 0. Calculate i.
0, 16
Let g = 339 + -337. Let n be (g - -2) + (-7)/((-49)/(-24)). Factor 4/7 - 2/7*f**3 + 2/7*f - n*f**2.
-2*(f - 1)*(f + 1)*(f + 2)/7
Let n = 286 - 282. Factor i - 2*i - 25*i**2 - 51*i**3 - 9*i + 31*i**3 - 5*i**n.
-5*i*(i + 1)**2*(i + 2)
Let u(n) be the first derivative of 2*n**5/25 + 16*n**4 + 12782*n**3/15 - 288*n**2 - 23040*n - 3130. Find b such that u(b) = 0.
-80, -3, 3
Factor 12/11*o + 2/11*o**4 - 8/11*o**3 + 0 + 2/11*o**2.
2*o*(o - 3)*(o - 2)*(o + 1)/11
Let y(t) be the second derivative of -t**5/60 - 41*t**4/12 - 427*t**3/2 - 3721*t**2/6 - 145*t + 3. What is g in y(g) = 0?
-61, -1
Let x(j) be the first derivative of 3*j**5/5 + 6*j**4 + 9*j**3 - 57*j**2 - 120*j - 800. Solve x(l) = 0 for l.
-5, -4, -1, 2
Let m(g) be the second derivative of -3*g**5/4 + 95*g**4/6 - 215*g**3/2 + 175*g**2 - 157*g + 3. What is i in m(i) = 0?
2/3, 5, 7
Determine m so that -491*m**3 + 13/2*m**4 + 9158*m**2 + 0 + 4332*m = 0.
-6/13, 0, 38
Determine v, given that 279/8*v**3 + 1365/8*v**2 - 69/8*v**4 + 3/8*v**5 + 507/4*v + 0 = 0.
-2, -1, 0, 13
Let d(p) be the second derivative of 38/5*p**3 + 1/30*p**4 + 0 - 169*p + 3249/5*p**2. Let d(q) = 0. Calculate q.
-57
Suppose 5*q = -3*l + 15, -21 = -412*q + 405*q - 5*l. Factor 3/2*g**2 - 7/8*g**q + 2 + 15/2*g.
-(g - 4)*(g + 2)*(7*g + 2)/8
Let s(c) be the second derivative of c**9/7056 - 3*c**8/1960 - c**7/280 - c**3/6 - 66*c**2 - 2*c - 43. Let r(j) be the second derivative of s(j). Factor r(n).
3*n**3*(n - 7)*(n + 1)/7
Let i = 248314/10251 + -4/3417. Let b = 1544/63 - i. Factor 0 - 2/7*j**4 + 0*j - b*j**5 + 2/7*j**3 + 2/7*j**2.
-2*j**2*(j - 1)*(j + 1)**2/7
Suppose -3*l + i + 3*i + 110 = 0, 2*l = -5*i + 81. Suppose 5*x**3 - 51*x**4 - 36*x + 29*x**3 + 13*x**4 - 15*x**5 + l*x**2 + 17*x**5 = 0. Calculate x.
-1, 0, 1, 18
Factor 97344/5 + 2/5*x**3 + 47424/5*x - 124*x**2.
2*(x - 156)**2*(x + 2)/5
Let c(b) = -b + 9. Let g be c(4). Let h = -225735 - -677215/3. Determine f, given that -h - g*f + 5*f**3 + 5/3*f**4 + 5/3*f**2 = 0.
-2, -1, 1
Factor 6*m**4 + 0*m**2 + 0 + 0*m + 15/2*m**3 - 3/2*m**5.
-3*m**3*(m - 5)*(m + 1)/2
Let i(t) be the third derivative of -1/3*t**3 + 11/24*t**5 + 0*t + 27*t**2 - 2 + 7/24*t**4 + 11/280*t**7 - 127/480*t**6. Determine o so that i(o) = 0.
-1/3, 2/11, 2
Let y(w) be the first derivative of -69/2*w**2 + 106 - 33*w - 3/4*w**4 - 13*w**3. Suppose y(c) = 0. What is c?
-11, -1
Suppose -68*r - 3*b = -69*r - 24, 3*r + 8 = b. What is j in 1/2*j**3 - 1/6*j**4 + 1/6*j + r - 1/2*j**2 = 0?
0, 1
Factor -678/5*h + 677/5*h**2 + 1/5*h**3 + 0.
h*(h - 1)*(h + 678)/5
Let i(s) be the third derivative of -s**6/40 - 31*s**5/10 - 59*s**4/2 - 116*s**3 + 2292*s**2. Solve i(o) = 0.
-58, -2
Suppose 3*n + 82 - 454 = 0. Let s(w) = w**2 + 56*w + 756. Let k be s(-18). Factor -75*c**5 + n*c**4 + 201*c**2 + 11*c**4 - k*c**3 - 189*c**2.
-3*c**2*(c - 1)*(5*c - 2)**2
Factor 34*i + 13*i**2 - 4*i**2 + 6*i**2 - 24*i**3 + 23*i + 18.
-3*(i - 2)*(i + 1)*(8*i + 3)
Let x(u) be the second derivative of u**6/60 - u**5/10 + u**4/4 - u**3/3 - 12*u**2 - 31*u. Let m(d) be the first derivative of x(d). Solve m(g) = 0 for g.
1
Let j be 8 + 129 - 44/4. Let l be (3/j)/((-39)/(-273)). Let l*q + 0 - 1/6*q**2 = 0. What is q?
0, 1
Factor -3/2*y**3 - 45/2*y - 567/2 + 39/2*y**2.
-3*(y - 9)*(y - 7)*(y + 3)/2
Let x(y) be the third derivative of -y**8/1512 - 4*y**7/945 + y**6/108 + 2*y**5/27 - y**4/27 - 16*y**3/27 + y**2 + 655*y. Let x(r) = 0. What is r?
-4, -2, -1, 1, 2
Let t(u) = 29*u**3 + 98*u**2 + 20*u - 111. Let i = 94 + -96. Let a(z) = 7*z**3 + 24*z**2 + 5*z - 28. Let s(n) = i*t(n) + 9*a(n). Determine m so that s(m) = 0.
-3, -2, 1
Suppose -k - 3*w = -21, 0 = 5*k - 3*w - 6 + 9. Let h(x) be the first derivative of -3/5*x**5 + 24*x + 15/4*x**4 + 5 - 6*x**2 - 6*x**k. Factor h(r).
-3*(r - 2)**3*(r + 1)
Let k be ((-20)/60)/((-3)/18). Let l(f) = -6*f**2 - 19*f + 18. Let z(b) = b**2 + 2*b - 2. Let a(p) = k*l(p) + 14*z(p). Solve a(v) = 0.
1, 4
Let w(y) be the second derivative of 30 + 2*y**3 + 2*y + 0*y**2 + 1/12*y**4. Factor w(o).
o*(o + 12)
Suppose 1399*u - 1048 = -623 + 974. Solve 1/2*w**3 + 5/2*w + 2*w**2 + u = 0.
-2, -1
Let u = -1441 + 1444. Suppose 0 = -3*p + 7 + 2. Factor 10*s**2 + 11*s**2 - p*s**2 + 24 + 37*s + 3*s**u - s.
3*(s + 2)**3
Let d(y) be the first derivative of -80/7*y**2 + 178 + 192/7*y - 1/7*y**4 + 44/21*y**3. Let d(t) = 0. Calculate t.
3, 4
Let o(m) = 59*m**2 + 10*m - 20. Let t be o(3). What is z in 157*z**2 + 92*z + 642*z - 1445 + t*z + 8*z**2 + 6*z**3 - z**3 = 0?
-17, 1
Let v(o) = 8*o**2 - 20*o - 4. Let b(q) = -3*q**2 + 77*q + 20. Let h be b(26). Let g(j) = j**2 - 2*j - 2. Let i(d) = h*g(d) + v(d). Suppose i(k) = 0. What is k?
2
Let z(r) = -4*r**3 + r**2 - r - 1. Let u(c) = 42*c**3 + 275*c**2 + 589*c + 301. Let x(a) = 2*u(a) + 22*z(a). Find d, given that x(d) = 0.
-1, 145
Let x(n) be the second derivative of n**6/6 - 12*n**5 - 615*n**4/4 - 2170*n**3/3 - 1650*n**2 - 5226*n. Let x(y) = 0. Calculate y.
-3, -2, 55
Let s be 40/(-160) + 10/8. Let x be (-6)/(-15)*(52/28 + s). Let -8/7*r - 2/7*r**2 - x = 0. What is r?
-2
Let 1544/7*f**3 + 236/7*f**4 + 152*f**2 - 4/7*f**5 - 220*f - 1300/7 = 0. What is f?
-5, -1, 1, 65
Let u(o) = -o + 7. Let d be u(5). Let m = 23 + -20. Let d*x + 6*x**m - 2*x**5 - 288 + 288 + x**4 - 7*x**2 = 0. What is x?
-2, 0, 1/2, 1
Let d(r) = 11573*r - 138874. Let w be d(12). Factor -52/19 - 22/19*x + 2/19*x**w.
2*(x - 13)*(x + 2)/19
Let k(o) be the second derivative of -o**7/35 - 4*o**6/75 + 67*o**5/50 - 16*o**4/5 + 12*o**3/5 - 531*o. Suppose k(p) = 0. What is p?
-6, 0, 2/3, 1, 3
Suppose -3 = -3*t + 9. Factor 5*a**2 + t*a**4 + 20*a**3 - 25*a**3 - 14*a**4.
-5*a**2*(a + 1)*(2*a - 1)
Let g be 28*(3/(-2) - -2). Suppose g = b + 12. Suppose -14*z**2 + 15*z**b - 5*z**2 = 0. Calculate z.
0
Let h(o) = -10*o**3 + 100*o**2 + 335*o + 210. Let u(g) = g**3 - g**2 - g + 2. Let y(f) = -h(f) - 15*u(f). Factor y(i).
-5*(i + 1)*(i + 4)*(i + 12)
Find j, given that 62/5*j**2 - 2*j**3 - 2/5*j**4 - 86/5*j + 36/5 = 0.
-9, 1, 2
Let o = -1943/82 + 311293/738. Let g = o - 398. Find f such that 5/9*f + 4/9*f**2 + g = 0.
-1, -1/4
Suppose -p = 6*p - 14. Factor 16*n**2 + 38*n - 6*n**3 - p*n**3 + 24 + 7*n**3 + 3*n**3.
2*(n + 1)*(n + 3)*(n + 4)
Let b = -12/98921 + 5836471/1088131. Suppose -1/11*x**2 + 60/11*x - b = 0. What is x?
1, 59
Let w = 259 - 257. Suppose -w*r**2 - 48*r - 722 - 15*r - 13*r = 0. What is r?
-19
Let c be 3/(3/(-146))*(-4)/8. Let k = -67 + c. Suppose -234 - h**2 - k*h + 234 + 4*h**2 = 0. Calculate h.
0, 2
Let d = -28 - -39. Suppose 5*p + d = -a, -2*p - 3 = -p. Determine o so that -2*o + 0*o**2 + 18*o**3 + 2*o**2 + 22*o**a + 3*o**2 + 8*o**5 - 3*o**2 = 0.
-1, 0, 1/4
Let a(o) = -4*o - 8. Let m be a(-2). Suppose t - 5*c - 21 = m, -3*t + 30 = -3*c - c. Factor 36*v**3 + 7*v**4 - 8*v**4 - 18*v**2 + t*v**2 - 14*v**4.
-3*v**2*(v - 2)*(5*v - 2)
Let g(r) be the third derivative of 5*r**8/336 - 2*r**7/3 + 55*r**6/8 - 199*r**5/6 + 535*r**4/6 - 140