 - 10*d + 44. Let s(l) = f*n(l) + 2*g(l). Suppose s(m) = 0. Calculate m.
-7, 3
Let q(a) be the first derivative of -4*a**5/5 - a**4 + 16*a**3/3 + 8*a**2 + 2077. Solve q(u) = 0.
-2, -1, 0, 2
Let q(r) be the first derivative of r**6/18 - 9*r**5/5 - 35*r**4/12 + 61*r**3/3 + 179*r**2/3 + 56*r - 8339. Solve q(i) = 0 for i.
-2, -1, 3, 28
Let q be (-3 + 11 - 8)/((-1034)/(-329) - (-16)/(-14)). Factor q - 70/3*u**4 + 98/15*u**5 - 8/5*u**2 + 0*u + 176/15*u**3.
2*u**2*(u - 3)*(7*u - 2)**2/15
Find v, given that 41561*v**3 - 28*v**2 - 23*v**2 + 12*v**2 + 6*v**4 - 3*v**2 - 41552*v**3 = 0.
-7/2, 0, 2
Let y(d) = -21*d**4 - 5082*d**3 - 95238*d**2 + 100521*d. Let g(w) = -w**4 - 231*w**3 - 4329*w**2 + 4569*w. Let l(o) = 45*g(o) - 2*y(o). Factor l(b).
-3*b*(b - 1)*(b + 39)**2
Let l(i) be the second derivative of i**5/140 - 13*i**4/84 - 29*i**3/42 - 15*i**2/14 - 3863*i. Factor l(p).
(p - 15)*(p + 1)**2/7
Let j(m) be the first derivative of -4/39*m**3 + 0*m + 0*m**2 + 56 + 1/26*m**4. Factor j(s).
2*s**2*(s - 2)/13
Suppose 5*d - 13 = o, 15 = -3*o - 2*o. Suppose -3*r = -d*r + 4*i - 34, -42 = -2*r + 5*i. Factor -4*p**3 + 2*p**4 - 24*p**5 + r*p**5 - 2*p**3 + 2*p**4.
2*p**3*(p - 1)*(p + 3)
Let n(k) be the first derivative of 5*k**3/3 + 1380*k**2 + 380880*k + 1320. Determine g, given that n(g) = 0.
-276
What is i in 10*i**3 + 32*i**3 - 49*i - 38*i**3 - 71*i + 4*i**2 = 0?
-6, 0, 5
Let g = 71130/7231 - -21/1033. Solve -g*a + 66/7 + 3/7*a**2 = 0.
1, 22
Let q be (-1001)/44 + 22 - (-86)/8. Let m(u) be the third derivative of 0 - q*u**2 + 0*u + 0*u**3 + 1/30*u**5 + 0*u**4. Determine b, given that m(b) = 0.
0
Let f(o) = o**3 - 3*o**2 + 3*o + 1. Let b be f(1). Factor -p**b + 0*p**2 - 4 - 4*p**2 + 4 + 55*p.
-5*p*(p - 11)
Let w(s) be the first derivative of -s**6/72 + s**5/8 - 5*s**4/12 - s**3/3 - 23*s**2 - 54. Let v(g) be the third derivative of w(g). What is m in v(m) = 0?
1, 2
Let s = 520 + -468. Determine j so that 3*j + s*j**2 + 12*j**4 + 16*j**2 - 3*j - 441*j**3 + 521*j**3 = 0.
-17/3, -1, 0
Let s = 411810 + -411807. Solve -155/2*g**s - 25/4*g**4 - 9 - 93*g - 1021/4*g**2 = 0.
-6, -1/5
Find i, given that -13448*i + 2657*i**2 + 2637*i**2 + 4*i**4 - 375*i**2 + 1149*i**2 + 320*i**3 = 0.
-41, 0, 2
Let x = -65535 - -393299/6. Determine h, given that -7/6*h**4 - x*h**2 - 32/3*h - 2 - 22/3*h**3 = 0.
-3, -2, -1, -2/7
Determine j, given that 276 + 2/5*j**2 - 122/5*j = 0.
15, 46
Suppose -221*n + 424 = -364 - 96. Let f(t) be the third derivative of 0*t**3 + 0 + 0*t + 1/168*t**n + 1/420*t**5 - 13*t**2. Factor f(p).
p*(p + 1)/7
Let v(n) be the first derivative of -n**4/6 + 28*n**3/9 + 24*n**2 + 1927. Factor v(i).
-2*i*(i - 18)*(i + 4)/3
Let b(k) = k**4 + 4*k**3 - 3*k**2 - 3. Let u(x) = 4*x**4 + 12*x**3 - 8*x**2 - 8. Let s be -8 - -5 - (0 - 0). Let v(d) = s*u(d) + 8*b(d). What is p in v(p) = 0?
-1, 0
Suppose -4799*x = -4762*x. Determine z so that 5/3*z**2 - 1/3*z**3 + x + 0*z = 0.
0, 5
Suppose -3*z + 47 = 5*i, 4*z = -4*i + 26 + 10. Solve 74*h**4 - 142*h**4 - 12*h**3 - i*h**2 + 66*h**4 = 0 for h.
-5, -1, 0
Let i be (((-8)/4840)/((-14)/77))/(6/10). Let c(o) be the third derivative of 47*o**2 - i*o**4 - 3/110*o**5 + 0*o + 0*o**3 + 0. Factor c(b).
-2*b*(9*b + 2)/11
Suppose 16 = 5*l - d, 3*l - 10 = -3*d - 4. Suppose -16*h + l*h = 0. Factor -12*x**2 + 29*x + 18*x**3 - 12*x**4 + h*x**5 - 26*x + 3*x**5.
3*x*(x - 1)**4
Let t(u) = -u**4 + 50*u**2 - 7*u**2 - 43*u**2. Let h(v) = -2*v**5 + 4*v**4 + v + 2*v**4 - v. Let c(n) = -h(n) - 2*t(n). Factor c(r).
2*r**4*(r - 2)
Suppose -10101*j = -9250*j. Let -17/5*q**4 + j*q - 33/5*q**3 - 23/5*q**2 + 4/5 - 3/5*q**5 = 0. Calculate q.
-2, -1, 1/3
Factor 8424/7*w - 45*w**2 - 8112/7 + 3/7*w**3.
3*(w - 52)**2*(w - 1)/7
Let o(j) be the second derivative of -j**6/90 - j**5/5 + 27*j**4/4 - 515*j**3/9 + 200*j**2 - 163*j + 10. Let o(v) = 0. What is v?
-24, 2, 5
Let d = 3478/2721 - -50/907. Let -2*o - d + 0*o**2 + 2/3*o**3 = 0. Calculate o.
-1, 2
Let s = -69966 - -69966. Solve 0*y**2 + 0*y - 5*y**4 + 0 + 5/3*y**5 + s*y**3 = 0.
0, 3
Let y(u) = -4*u**3 + 9*u**2 - 19 + 3*u**3 - 13*u + 21*u. Let b be y(6). Factor b*v + 28*v**2 + 4 + 18*v**3 + 4*v**4 - 119*v + 0.
2*(v + 1)**2*(v + 2)*(2*v + 1)
Let r(p) = -4*p**3 - 26*p**2 - 175*p - 976. Let k be r(-6). Factor -9/5*a**k + 3/5*a**4 + 0*a**3 + 0 + 6/5*a.
3*a*(a - 1)**2*(a + 2)/5
Let i(b) be the second derivative of b**6/20 + 79*b**5/40 - 185*b**4/12 - 101*b**3 - 90*b**2 - 4*b + 518. Determine x so that i(x) = 0.
-30, -2, -1/3, 6
Let n(c) be the first derivative of -17 - 1/13*c**2 + 18*c - 2/39*c**3 - 1/78*c**4. Let j(x) be the first derivative of n(x). Suppose j(u) = 0. What is u?
-1
Let h be (-37)/(-4) + 11/(-44). Factor -81 + 117 - 24*l + l**2 + h*l.
(l - 12)*(l - 3)
Let b(v) be the third derivative of v**6/280 + 3*v**5/140 - 3*v**4/28 - 4*v**3/7 - 5*v**2 - 7*v. Let b(p) = 0. Calculate p.
-4, -1, 2
Let x be (-6)/(-7) - 140/1470*-6075. Factor -35152/7*c + 4/7*c**4 + 114244/7 + x*c**2 - 208/7*c**3.
4*(c - 13)**4/7
Let v(f) be the third derivative of -f**5/30 - 927*f**4/2 - 2577987*f**3 - 3*f**2 + 32*f + 12. Determine n so that v(n) = 0.
-2781
Let v(z) be the first derivative of z**6/4 - 51*z**5/5 + 753*z**4/8 + 143*z**3 + 2844. Solve v(m) = 0.
-1, 0, 13, 22
Factor 1/2*o**2 + 16*o - 185/2.
(o - 5)*(o + 37)/2
Let u be (52/6 - 9)/((-1)/39). Let y(t) be the second derivative of -5/3*t**3 + 0 - 5/4*t**4 - 1/4*t**5 - u*t + 0*t**2. Let y(c) = 0. Calculate c.
-2, -1, 0
Let o(a) = -25*a + 3. Let h(f) be the third derivative of f**5/60 + f**4 - f**3/3 - 3*f**2. Let d(k) = 6*h(k) + 5*o(k). Factor d(v).
(v + 3)*(6*v + 1)
Let f(r) be the first derivative of 2*r**3/27 - 140*r**2/3 + 4784. Factor f(w).
2*w*(w - 420)/9
Let t(x) = -3*x**3 - 7*x**2 + x + 3. Let c(m) = -31 - 93*m + 91*m + 26 + 13*m**2 + 4*m**3. Let f(v) = -3*c(v) - 5*t(v). Suppose f(g) = 0. Calculate g.
0, 1/3, 1
Let s(g) be the third derivative of -g**7/6300 - g**6/1800 + g**5/50 - 143*g**4/24 + 47*g**2 + 3. Let b(q) be the second derivative of s(q). Factor b(c).
-2*(c - 2)*(c + 3)/5
Let g(h) be the third derivative of h**7/210 - 3*h**6/20 + 47*h**5/60 - 5*h**4/4 - 23*h**2 + 4*h. Find i, given that g(i) = 0.
0, 1, 2, 15
Let b(a) be the first derivative of -5*a**4/4 + 140*a**3/3 + 155*a**2/2 - 290*a + 2241. Find d such that b(d) = 0.
-2, 1, 29
Let d be 5/3*(4/3 + (-630)/(-378)). Let i(g) be the third derivative of 0 + 7/3*g**3 - 5*g**2 + 0*g - 1/6*g**4 + 1/210*g**d. Let i(m) = 0. Calculate m.
7
Let g(x) be the second derivative of -x**4/4 + 6*x**3 + 42*x**2 - 67*x. Solve g(q) = 0.
-2, 14
Let q(j) be the third derivative of -5*j**8/84 - 76*j**7/105 - 89*j**6/30 - 68*j**5/15 + 2*j**4/3 + 32*j**3/3 - 501*j**2. Solve q(l) = 0 for l.
-4, -2, -1, 2/5
Suppose p + 3 = 5. Let 8 + 4 + p*c**2 + 192*c - 179*c - c**2 = 0. Calculate c.
-12, -1
Let x(v) be the first derivative of v**4/2 - 4*v**3/3 - 31*v**2 - 56*v + 498. Suppose x(u) = 0. What is u?
-4, -1, 7
Let f = 54485/7 + -7783. Let p be (2/14)/(8 - 7). Factor f*z**3 - 6/7*z**2 - 1/7*z**4 - p + 4/7*z.
-(z - 1)**4/7
Let l(q) be the third derivative of q**5/15 + 23*q**4/6 + 10*q**2 - 225. Suppose l(b) = 0. What is b?
-23, 0
Let c(g) be the third derivative of 2*g**7/105 + g**6/3 - 11*g**5/15 + 4263*g**2. Factor c(v).
4*v**2*(v - 1)*(v + 11)
Factor 0 + 9/4*y**2 - 1/4*y**3 + 0*y.
-y**2*(y - 9)/4
Suppose -o - 5*k - 7 = 0, 5*o + 125*k = 127*k + 19. Factor 0 + 5/8*h**2 + 0*h + 1/8*h**o.
h**2*(h + 5)/8
Let t = -211 + 199. Let q be -4*2/t*3. Factor -1/5*d - 4/5*d**3 + q*d**2 + d**5 - 2/5 - 8/5*d**4.
(d - 1)**3*(d + 1)*(5*d + 2)/5
Let y(s) be the second derivative of -5*s**7/42 + s**6/3 + 9*s**5/4 - 55*s**4/6 - 10*s**3/3 + 60*s**2 + 14*s - 19. Let y(h) = 0. What is h?
-3, -1, 2
Let b(v) be the third derivative of 1/28*v**5 + 0*v**3 - 1/98*v**7 - 45*v**2 + 0*v - 1/784*v**8 + 3/28*v**4 + 0 - 1/56*v**6. Find d, given that b(d) = 0.
-3, -2, -1, 0, 1
Suppose -12*c = -7*c - 15. Determine z, given that 336*z**2 - c*z**4 - z**4 - 40*z**3 - z**4 - 291*z**2 = 0.
-9, 0, 1
Suppose -12*q - 20 = -16*q, 2*q = -2*v - 246. Let y be v/48 - (-3 - -8)/(-1). Let y + 8/3*x + 1/3*x**2 = 0. What is x?
-7, -1
Let t(s) = s**3 - 7*s**2 + 2*s**3 - 2*s**3 + 7 - s. Let a be t(7). Let a*i**2 - i - 3*i**2 - i + 5*i**2 = 0. What is i?
0, 1
Factor 57/4*l + 1/4*l**2 - 45.
(l - 3)*(