774*l**2 - 2385*l + 1613. Let c(h) = -11*a(h) + 4*i(h). Let c(d) = 0. Calculate d.
-89, 1, 2
Let u be -6 + 2 - -1 - (-39 - -66). Let a be ((-44)/165)/(4/u). What is l in -4/13*l + 0 - 10/13*l**a = 0?
-2/5, 0
Let v(h) be the third derivative of 0*h**3 + 1/180*h**5 - 3*h**2 - 1/630*h**7 + 3 + 0*h - 1/72*h**4 + 1/360*h**6. Determine t so that v(t) = 0.
-1, 0, 1
Let q = -770 + 1208. Let j = q - 875/2. Factor -j*g**3 - 1/2*g**4 + 0 + 0*g + 0*g**2.
-g**3*(g + 1)/2
Let z = 1371115/4 + -342777. Factor z - 15/4*h - 1/4*h**3 + 9/4*h**2.
-(h - 7)*(h - 1)**2/4
Let q(f) be the second derivative of -6*f**7/7 + 86*f**6/5 - 104*f**5 + 400*f**4/3 - 254*f - 4. Factor q(d).
-4*d**2*(d - 1)*(3*d - 20)**2
Let k(i) = 2*i**4 + 27*i**3 - 47*i**2 - 18*i + 6. Let v = 34 - 40. Let d(f) = 3*f**4 + 27*f**3 - 48*f**2 - 19*f + 7. Let s(y) = v*d(y) + 7*k(y). Factor s(x).
-x*(x - 4)*(x - 3)*(4*x + 1)
Let c(n) be the first derivative of -n**8/448 - n**7/28 - 5*n**6/32 - 121*n**2/2 + 171. Let d(v) be the second derivative of c(v). Factor d(u).
-3*u**3*(u + 5)**2/4
Let r = -810 + 845. Factor -r*m**3 + 32*m**3 - 6*m**2 - 9*m**2 + 3*m - 6*m**2 + 0 + 21.
-3*(m - 1)*(m + 1)*(m + 7)
Let l(c) = c**3 - c**2 - 14*c - 5. Let z be l(-3). Factor -z + 6 - 23869*p**2 - p**3 + 23864*p**2 + p.
-(p - 1)*(p + 1)*(p + 5)
Let x = -42728/9 - -26064647/5490. Let m = -1/305 + x. What is r in -1/10*r**4 + m*r + 1/10*r**2 - 1/10*r**3 + 0 = 0?
-1, 0, 1
Determine v so that -120*v**4 + 1083*v - 3 + 752*v**3 - 2280*v**2 + 3*v**5 - 123*v**3 + 3 + 685*v**3 = 0.
0, 1, 19
Find c such that -672/13 + 218/13*c + 2/13*c**2 = 0.
-112, 3
Suppose 106*d = 9*d - 2716. Let h be (-10)/(-7) - 16/d. What is b in 0*b + 0*b**h - b**3 + 0 - 1/5*b**4 = 0?
-5, 0
Let t be (8/(-52) + (-60)/(-52))*-10. Let n be 2/t*((-20)/(-8))/(-5). Solve 0 - 1/2*d + 2/5*d**2 + n*d**3 = 0.
-5, 0, 1
Let p(b) be the first derivative of 2*b**5/5 + 13*b**4/2 + 94*b**3/3 + 59*b**2 + 48*b - 514. Determine r, given that p(r) = 0.
-8, -3, -1
Let w = 21 + -28. Let y(f) = -2*f - 12. Let r be y(w). What is l in -31*l - 5*l - 22*l**r + 12*l - 8 - 6*l**3 = 0?
-2, -1, -2/3
Let -38*n**4 + 736925*n**3 - 5*n**5 - 736941*n**3 + 12*n**2 + 5*n**4 = 0. What is n?
-6, -1, 0, 2/5
Find q such that -698 + 49*q + 3*q**2 - 407*q + 223*q + 2048 = 0.
15, 30
Determine m so that -5745920 - 4/5*m**2 - 4288*m = 0.
-2680
Let t(r) be the third derivative of r**7/140 + 7*r**6/40 + 9*r**5/10 + 17*r**4/8 + 11*r**3/4 - 178*r**2. Let t(v) = 0. Calculate v.
-11, -1
Let i(z) = 31*z**3 + 64*z**2 + 24*z - 23. Let t(d) = -2*d**2 - 25*d + 11 - 30*d**2 - 10*d**3 - 5*d**3 + 13*d. Let w(a) = 3*i(a) + 7*t(a). Factor w(v).
-4*(v + 1)*(v + 2)*(3*v - 1)
Let l(u) be the first derivative of -5*u**4/12 - 25*u**3/9 + 5*u**2/3 + 40*u - 397. Find g, given that l(g) = 0.
-4, -3, 2
Let v(k) be the first derivative of -7/5*k**2 - 1/15*k**3 + 18 + 0*k. Factor v(n).
-n*(n + 14)/5
Let q(n) = -159*n + 9. Let k be q(-2). Let y = k - 325. Solve -5/4*g**3 - 3/4*g**4 + 5/4*g + 5/4*g**y - 1/2 = 0.
-2, -1, 1/3, 1
Let j(t) be the first derivative of t**4/30 + 26*t**3/45 - t**2/15 - 26*t/15 - 5490. Suppose j(h) = 0. Calculate h.
-13, -1, 1
Let b = 204 + -199. Let a be ((-56)/(-14))/(-4) + (-34)/(-30). Solve 0 + 4/15*g**2 - 2/5*g**3 + 0*g + 0*g**4 + a*g**b = 0.
-2, 0, 1
Let o(t) be the third derivative of 0*t + 0 + 10*t**2 + 3/80*t**5 - 1/4*t**4 - 3/8*t**3. What is q in o(q) = 0?
-1/3, 3
Factor 32*z**3 + 305*z**2 - 215*z + 1607 - 17*z**3 - 1712.
5*(z - 1)*(z + 21)*(3*z + 1)
Let g(b) be the third derivative of 95*b**2 + 1/6*b**4 - b**3 + 0*b + 0 + 1/30*b**5. Solve g(t) = 0.
-3, 1
Let j(n) be the third derivative of n**7/840 - 59*n**6/480 + 257*n**5/80 - 1369*n**4/96 + 82*n**3/3 + 1565*n**2. Solve j(p) = 0 for p.
1, 16, 41
What is p in 0 - 100/7*p + 2*p**4 + 20*p**2 - 1/7*p**5 - 69/7*p**3 = 0?
0, 2, 5
Let y = 24586873/499395 + 1/66586. Let k = y + -293/6. Factor 6/5*x**3 - k*x**4 + 0 + 2/5*x**2 - 6/5*x.
-2*x*(x - 3)*(x - 1)*(x + 1)/5
Let a(i) be the first derivative of -3*i**4/14 - 6*i**3 - 117*i**2/7 - 114*i/7 - 440. Factor a(c).
-6*(c + 1)**2*(c + 19)/7
Let s(c) = 19*c**3 + 189*c**2 + 1479*c + 3978. Let p(l) = 5*l**3 + 47*l**2 + 367*l + 994. Let u(a) = 22*p(a) - 6*s(a). Factor u(m).
-4*(m + 5)*(m + 10)**2
Suppose 165 - 245 = -8*a. Let h(u) be the third derivative of 1/180*u**6 + 0 + 1/90*u**5 - 4/9*u**3 - 1/9*u**4 - a*u**2 + 0*u. Solve h(o) = 0.
-2, -1, 2
Let o(f) be the first derivative of 5/48*f**4 - 1/120*f**6 + 1/8*f**3 + 0*f**2 - 17 + 1/80*f**5 - 31*f. Let b(s) be the first derivative of o(s). Factor b(g).
-g*(g - 3)*(g + 1)**2/4
Let u(j) be the first derivative of -4*j**5/5 - 78*j**4 - 304*j**3 - 452*j**2 - 300*j + 2818. Find m such that u(m) = 0.
-75, -1
Let l be 209/80 - (-1320)/7040. Factor 2/15*m**3 + 24/5 + 112/15*m + l*m**2.
2*(m + 1)*(m + 2)*(m + 18)/15
Let s(n) be the second derivative of n**6/30 + 34*n**5/15 - 71*n**4/6 + 24*n**3 + 37*n**2/2 + 88*n. Let k(m) be the first derivative of s(m). Factor k(c).
4*(c - 1)**2*(c + 36)
Suppose 0 = 4*k - y - 100, -k - 4*k - 3*y = -108. Solve -14*s**3 - 100*s**2 + 21*s + 7*s - 4*s**5 + 4*s**4 + k*s + 66*s**3 - 4*s = 0.
-4, 0, 1, 3
Let q = -179600 - -718409/4. Find t, given that 3/2*t + 3/4*t**2 - q = 0.
-3, 1
Let w(a) = a + 10. Let q be w(-8). Suppose 4*x = 7*x - 30. Factor 7*b**2 - 16*b**q - 3*b**2 + 7*b**2 + x*b.
-5*b*(b - 2)
Suppose -2796 - 3732 = -16*y. Let i = y + -405. Factor -1/5*g**i + 0 + 6/5*g**4 + 0*g**2 + 0*g - g**5.
-g**3*(g - 1)*(5*g - 1)/5
Let s be -42*(-195)/(-1404) + 6. Factor 2/3*k**2 + s*k**3 + 0 + 1/2*k.
k*(k + 1)*(k + 3)/6
Let s = -1457/16 - -1497/16. Let v(d) be the first derivative of 5*d**3 + s*d**2 + 30 - 5/4*d**4 - d**5 - 10*d. Find m, given that v(m) = 0.
-2, -1, 1
Let x(i) be the first derivative of -i**4/40 + i**3/2 - 37*i**2/10 + 12*i + 3033. Factor x(k).
-(k - 6)*(k - 5)*(k - 4)/10
Let l = 103/6 - 49/3. Suppose -3*v - 5*h = -15, -4*v + 1 = -4*h + 13. Factor 1/6*a**2 - l*a + v.
a*(a - 5)/6
Let f(w) be the third derivative of -w**5/30 + 65*w**4/12 + 350*w**3/3 - 4179*w**2. Let f(y) = 0. What is y?
-5, 70
Let x(p) be the first derivative of 4/5*p**5 - 69 + 6*p**4 - 4/3*p**3 + 0*p - 12*p**2. Determine b so that x(b) = 0.
-6, -1, 0, 1
Factor -157*b**3 + 5*b**5 + 50*b + 18*b**4 + 67*b**4 + 582*b**3 + 615*b**2 + 220*b.
5*b*(b + 1)**2*(b + 6)*(b + 9)
Let n(m) be the first derivative of 3*m**5/35 + 27*m**4/28 - 25*m**3/7 - 99*m**2/14 - 2786. Factor n(s).
3*s*(s - 3)*(s + 1)*(s + 11)/7
Let m(l) = 230*l**2 + 8630*l + 3300. Let d(x) = 21*x**2 + 784*x + 300. Let p(h) = -45*d(h) + 4*m(h). Factor p(r).
-5*(r + 30)*(5*r + 2)
Let v = -5 - -10. Let x = v - 2. Factor -77*o**3 + 73*o**x - 16 + 14*o**2 - 2*o**2.
-4*(o - 2)**2*(o + 1)
Let o(t) be the second derivative of -t**4/24 - 79*t**3/6 + 159*t**2/4 - 527*t - 2. Factor o(p).
-(p - 1)*(p + 159)/2
Let p(s) be the third derivative of -13*s**2 + 0*s + 1/9*s**3 + 23/180*s**5 - 5 + 25/72*s**4. Find u such that p(u) = 0.
-1, -2/23
Let i(r) be the first derivative of r**4/6 - 23*r**3/3 - 24*r**2 + 122*r + 235. Let l(t) be the first derivative of i(t). Suppose l(j) = 0. What is j?
-1, 24
Let r(a) be the first derivative of 11/4*a**4 - 4 - 7/5*a**5 + 2*a**3 + 0*a + 0*a**2. Suppose r(u) = 0. Calculate u.
-3/7, 0, 2
Factor 1044/7*x + 3/7*x**2 + 1041/7.
3*(x + 1)*(x + 347)/7
Let t be (-6)/(-42) + (-30)/126*-12. Let c(h) be the second derivative of -1/2*h**t + 0 + h - 3/4*h**2 - 1/8*h**4. Factor c(n).
-3*(n + 1)**2/2
Let d(n) be the third derivative of -n**8/1848 - 2*n**7/385 + 64*n**6/165 - 928*n**5/165 + 448*n**4/11 - 512*n**3/3 - 1169*n**2. Determine j so that d(j) = 0.
-22, 4
Let n(x) be the third derivative of -x**9/302400 - x**5/30 + 29*x**3/6 - 2*x**2 + 22*x. Let j(t) be the third derivative of n(t). Factor j(y).
-y**3/5
Let y(x) be the third derivative of -2/33*x**4 - 1/660*x**6 - 2*x**2 + 1/30*x**5 - 20/33*x**3 + 16 + 0*x. Factor y(r).
-2*(r - 10)*(r - 2)*(r + 1)/11
Let c = -144 - -146. Solve 29 - 96*z + 24*z**4 + 30*z**3 - 89 - 21*z**4 - 9*z**c = 0.
-10, -1, 2
Let i(m) = m**2 + 1078*m - 6502. Let z be i(6). Factor -44/5*j**z + 2/5*j**3 + 42/5*j + 0.
2*j*(j - 21)*(j - 1)/5
Let j = 1027499 + -4109891/4. Suppose 969/4*r + 3/4*r**3 - j*r**2 - 867/4 = 0. Calculate r.
1, 17
Let z be (-100)/36 + -5 + (21 - 13)