 first derivative of 16/21*z**f - 16/7*z - 6 + 18/7*z**2 - 9/7*z**4. Factor l(i).
-4*(i - 1)*(i + 1)*(9*i - 4)/7
Suppose -139 - 137 - 170 = -223*i. Solve 4/3*g + 0 + 4/9*g**4 - 4/9*g**i - 4/3*g**3 = 0 for g.
-1, 0, 1, 3
Determine c so that -1472/7 - 4/7*c**3 - 124/7*c**2 - 800/7*c = 0.
-23, -4
Let f(i) be the first derivative of i**6/18 - 4*i**5/15 - 13*i**4/6 - 44*i**3/9 - 31*i**2/6 - 8*i/3 + 131. Factor f(g).
(g - 8)*(g + 1)**4/3
Let m(i) be the second derivative of -i**5/4 - 5*i**4/3 + 40*i**3/3 + 160*i**2 - i - 119. Suppose m(r) = 0. Calculate r.
-4, 4
Suppose 42*m - 10 = 40*m, -5*z + 605 = -2*m. Suppose -6 = z*a - 125*a. What is n in 3*n**2 + 0*n + 3/2*n**4 - 9/2*n**a + 0 = 0?
0, 1, 2
Let b(a) be the second derivative of 8281*a**6/90 - 6916*a**5/5 + 104423*a**4/18 - 760*a**3/3 + 25*a**2/6 - a - 189. Factor b(o).
(o - 5)**2*(91*o - 1)**2/3
Let m(d) be the second derivative of -1/3*d**3 + 5/4*d**2 - 1/24*d**4 - d - 30. Factor m(k).
-(k - 1)*(k + 5)/2
Let r(t) be the third derivative of t**6/420 - t**5/30 + 5*t**4/28 - 3*t**3/7 - 4*t**2 - 22. Determine l, given that r(l) = 0.
1, 3
Let n = 21 - 7. Suppose z + 12 = -2*d + 13, -18 = -5*z + 3*d. Determine f so that -106*f + 4*f**5 + n*f**z - 6*f**4 + 6*f**2 + 104*f - 16*f**3 = 0.
-1, 0, 1/2, 1
Let j(o) = -15*o**2 + o - 2. Let v(h) = 29*h**2 + 246*h - 243. Let i(m) = -2*j(m) - v(m). Determine p so that i(p) = 0.
1, 247
Let y(q) = -16*q + 11. Let p be y(-29). Suppose p = 12*t - 53. Solve 19*d**3 + 40 - 8*d**4 - t + d**5 + 16*d + d**4 - 25*d**2 = 0.
1, 2
Let n be 15 - (39 + 3168/(-110)). Let -34/5*h - n + 2/5*h**2 + 2*h**3 - 2/5*h**4 = 0. What is h?
-1, 3, 4
Let h(t) be the first derivative of 162*t**5/5 - 909*t**4 + 1592*t**3/3 - 88*t**2 + 1019. Factor h(p).
2*p*(p - 22)*(9*p - 2)**2
Let r(f) be the first derivative of -f**8/840 + f**6/180 + 11*f**3/3 + f**2/2 + 5. Let x(g) be the third derivative of r(g). Factor x(k).
-2*k**2*(k - 1)*(k + 1)
Solve 2340*d**3 + 4*d**4 + 128*d - 24*d**2 - 128 - 2368*d**3 + 48*d**2 = 0.
-2, 1, 4
Let a(s) = -29*s**2 - 222*s + 456. Let r(l) = 70*l**2 + 445*l - 910. Let n(w) = 5*a(w) + 2*r(w). What is p in n(p) = 0?
-46, 2
Let g(s) = s**3 - 1. Let f(d) = 5*d**3 + 8*d**2 - 4. Let y = 208 - 204. Let z(i) = y*g(i) - f(i). Factor z(k).
-k**2*(k + 8)
Let -334/7*n**2 + 2/7*n**3 - 1016/7*n - 680/7 = 0. What is n?
-2, -1, 170
Factor -4/7*f**2 + 52/7*f + 1056/7.
-4*(f - 24)*(f + 11)/7
Let n(y) be the third derivative of -y**5/15 + 7*y**4/36 + 10*y**3/9 - 49*y**2 + 5. What is d in n(d) = 0?
-5/6, 2
Let p(c) be the third derivative of 0 + 1/2*c**3 + 7/180*c**5 + 1/360*c**6 - 48*c**2 + 0*c + 5/24*c**4. Factor p(o).
(o + 1)*(o + 3)**2/3
Let z(m) be the first derivative of -m**4/30 + 4*m**3/3 - 147*m - 61. Let k(r) be the first derivative of z(r). Factor k(p).
-2*p*(p - 20)/5
Suppose 687*v - 2620*v - 1642 + 3819 + 3622 = 0. Let 2*b**2 + 37/4*b**4 + 0*b + 0 + 7/4*b**5 + 19/2*b**v = 0. What is b?
-4, -1, -2/7, 0
Let m = -533126/7 + 76162. Factor 0*t + 0 - 2/7*t**3 - m*t**2.
-2*t**2*(t + 4)/7
Let g(z) = 10*z**3 - 247*z**2 - 254*z + 1479. Let o(j) = 9*j**3 - 247*j**2 - 254*j + 1480. Let x(l) = 16*g(l) - 18*o(l). Factor x(p).
-2*(p - 248)*(p - 2)*(p + 3)
Let l be ((-4)/(-18))/((-220)/(-396)). Let d(b) be the first derivative of -2*b - l*b**5 - 4*b**3 + 16 + 2*b**4 + 4*b**2. Determine p so that d(p) = 0.
1
Let s(q) = -5*q**3 - 5*q**2 + 22*q - 21. Let x be s(-12). Factor 6*i**2 - i**2 + x*i - 7615*i.
5*i*(i + 4)
Let z(r) = r**2 - 47*r + 172. Let b be z(43). Suppose b = 182*g - 185*g. Suppose g*q - q**2 + 1/2*q**4 + 1/2*q**3 + 0 = 0. Calculate q.
-2, 0, 1
Let m(t) be the second derivative of -3*t + 0*t**5 + 2 - 1/2*t**3 + 1/20*t**6 + 0*t**2 - 3/8*t**4. What is i in m(i) = 0?
-1, 0, 2
Let k(i) be the third derivative of 0*i - 5/6*i**4 + 1/24*i**6 + 0 + 284*i**2 + 0*i**3 + 0*i**5. Factor k(r).
5*r*(r - 2)*(r + 2)
Solve 1/12*k**3 + 29/12*k**2 + 60 + 22*k = 0.
-12, -5
Let q(f) be the third derivative of f**5/270 - 55*f**4/108 - 56*f**3/27 + 4*f**2 + 48*f. Factor q(d).
2*(d - 56)*(d + 1)/9
Let z(n) be the second derivative of n**6/75 - 16*n**5/25 - 7*n**4/2 - 4*n**3/15 + 28*n**2 - 2*n - 121. Find q, given that z(q) = 0.
-2, 1, 35
Let h(u) be the third derivative of u**7/294 + 8*u**6/105 + 121*u**5/210 + 11*u**4/7 - 3*u**3/2 - 2*u**2 - 806*u. Determine i, given that h(i) = 0.
-7, -3, 1/5
Factor -4/3*a**5 - 1280/3*a**2 - 92/3*a**4 + 2048/3*a - 224*a**3 + 0.
-4*a*(a - 1)*(a + 8)**3/3
Let t(a) = -2*a**2 + 18. Let s(y) = 9*y**2 + 8794*y + 19333537. Let l(r) = 4*s(r) + 16*t(r). Factor l(o).
4*(o + 4397)**2
Let r(j) = 18 + 91*j**2 - 2*j + j - 98*j**2. Let u(s) = 6*s**2 - 18. Let n be (12/(-10))/(54/135). Let i(x) = n*r(x) - 4*u(x). Factor i(g).
-3*(g - 3)*(g + 2)
Let r(s) be the first derivative of -s**4/4 + 9*s**3/2 - 14*s + 48. Let f(p) be the first derivative of r(p). Find l, given that f(l) = 0.
0, 9
Let a(u) = -2*u**3 - 84*u**2 - 406*u - 308. Let d(r) = r**3 + 28*r**2 + 135*r + 102. Let n(o) = -3*a(o) - 8*d(o). Suppose n(v) = 0. Calculate v.
-3, -1, 18
Suppose -45 = -5*h + 5*w, -2*h + h + 24 = -4*w. Suppose 0*m - 6 = 3*m + h*f, 4*m + 2*f = 2. Factor -3*n + 2*n**m - 3*n**2 + 2*n**2 + 2 + 0*n**2.
(n - 2)*(n - 1)
Let c(n) be the first derivative of 4*n**5/75 + n**4/2 + 16*n**3/15 - 16*n**2/15 + 46. Determine d so that c(d) = 0.
-4, 0, 1/2
Determine d, given that 50/13*d**3 - 2/13*d**5 - 12/13*d**4 + 0*d - 36/13*d**2 + 0 = 0.
-9, 0, 1, 2
Let j be 1/(-5) - ((-51)/85 - 8/20). Factor -2/15*v**2 - 2/3 - j*v.
-2*(v + 1)*(v + 5)/15
Let n(j) = -j**2 + j + 21. Let o(u) = 25*u**2 - 170*u + 705. Let i(d) = -20*n(d) - o(d). Factor i(r).
-5*(r - 15)**2
Let c(u) = -4*u + 3. Let q be c(0). Factor 10*p**2 - q*p**2 - 10*p**2 + 45*p.
-3*p*(p - 15)
Let i(s) be the second derivative of s**6/15 + 44*s**5 + 10*s + 159. Factor i(u).
2*u**3*(u + 440)
Let l(r) be the first derivative of r**6/660 - r**4/132 + 13*r**2 - 7. Let k(g) be the second derivative of l(g). Find o, given that k(o) = 0.
-1, 0, 1
Suppose -6*j + 7*j = -2870. Let x = -37292/13 - j. Factor x*m**2 - 14/13*m + 2/13*m**4 + 4/13 - 10/13*m**3.
2*(m - 2)*(m - 1)**3/13
Let 1/5*o**5 + 2401/5*o**2 + 2499/5*o**3 + 0*o + 0 + 99/5*o**4 = 0. Calculate o.
-49, -1, 0
Let t(m) be the second derivative of 1 + 19/8*m**3 + 9/4*m**2 - 7/16*m**4 - 23*m. Factor t(s).
-3*(s - 3)*(7*s + 2)/4
Let l be ((-18)/21 - (-71058)/(-840)) + -1. Let u = -345/4 - l. Factor -u - 2/5*h**4 - 9/5*h**2 + h + 7/5*h**3.
-(h - 1)**3*(2*h - 1)/5
Factor 5812*w**2 - 11610*w**2 + 5855*w**2 - w**3.
-w**2*(w - 57)
Let j(h) be the first derivative of -h**6/21 + 4*h**5/5 + 5*h**4/14 - 20*h**3/3 - 4*h**2/7 + 16*h + 1782. What is l in j(l) = 0?
-2, -1, 1, 2, 14
Let u(l) be the third derivative of -l**5/12 - 105*l**4/2 - 13230*l**3 - 67*l**2 + 11. Factor u(w).
-5*(w + 126)**2
Let x(h) = -5*h**4 - 50*h**3 - 122*h**2 + 3*h - 3. Let v(g) = -257 + 127 - 2*g - 2*g**2 + g + 131 + g**2. Let y(l) = -3*v(l) - x(l). What is o in y(o) = 0?
-5, 0
Let h = 21 + -19. Suppose 0 = -4*d + 6*s - 2*s + 240, -5*s + 60 = d. Find m such that -18 + 10*m**2 - 35*m**4 - 7*m**2 - d*m - h + 52*m**2 + 60*m**3 = 0.
-1, -2/7, 1, 2
Suppose -84*r - 5 = -85*r - 4*i, 5*i + 50 = 5*r. Suppose -5*h - 2*c = -30, -45 = -5*h - 14*c + r*c. Solve 0 - 4/7*m**h - 8/7*m**2 - 22/7*m**3 + 10/7*m = 0.
-5, -1, 0, 1/2
Let d(y) = -46*y**2 + y. Let c(k) = 177*k**2 + 1113*k + 130. Let s(h) = -c(h) - 2*d(h). Suppose s(a) = 0. What is a?
-13, -2/17
Let k(t) be the third derivative of 0*t + 0 - 25/36*t**3 - 108*t**2 - 1/360*t**5 + 13/72*t**4. Determine i, given that k(i) = 0.
1, 25
Let d(p) be the third derivative of p**5/20 + 911*p**4/8 + 455*p**3 - 22*p**2 + 7. Factor d(c).
3*(c + 1)*(c + 910)
Factor -2/5*u**3 - 444/5 - 58*u + 152/5*u**2.
-2*(u - 74)*(u - 3)*(u + 1)/5
Suppose -50 - 2*t**3 - t**4 - 2*t**3 + 190*t**2 - 150 + 70*t - 163*t**2 = 0. Calculate t.
-5, 2, 4
Let p(k) = k**3 - 19*k**2 - 13*k - 7. Let t be p(5). Let z = t + 2958/7. Factor 2/7*r**2 - 2/7*r - z.
2*(r - 2)*(r + 1)/7
Let c(f) = 5*f + 1. Let v be c(0). Let z be 231/84 - v/(-4). Factor 4*a**z + 5*a - 26*a**2 - 9*a**3 - 9*a**2 + 35*a**4.
5*a*(a - 1)*(a + 1)*(7*a - 1)
Factor 12947*w**2 + 1288*w**2 + 225*w**4 - 5*w**5 - 3750*w**3 + 9853*w**2 + 3412*w**2 - 75000*w.
-5*w*(w - 15)*(w - 10)**3
Let f be