 Solve d(v) = 0.
-1, 0, 4
Let j(w) be the second derivative of w**4/102 + 128*w**3/51 - 64*w**2 - 95*w + 27. Factor j(q).
2*(q - 8)*(q + 136)/17
Let g(b) = -b**4 - 3*b**3 + 43*b**2 - 9*b. Let l(t) = t**4 + 2*t**3 - 36*t**2 + 8*t. Let u(f) = -5*g(f) - 6*l(f). Factor u(w).
-w*(w - 3)*(w - 1)*(w + 1)
Let w(s) be the second derivative of 8*s**6/5 + 59*s**5/5 + 31*s**4/3 - 74*s**3 + 18*s**2 - 673*s. Find t, given that w(t) = 0.
-3, 1/12, 1
Let x(h) = -5*h + 19. Let u be x(-4). Let z be (-2)/4 - u/(-52). Factor 1/2 + 3/4*j + z*j**2.
(j + 1)*(j + 2)/4
Suppose -5*q - 11*x + 16 = -13*x, 2*x + 4 = -q. Let m be 395/315 - q/14 - -6. Factor -64/9 - 14/9*s**3 + 2/9*s**4 + m*s + 4/3*s**2.
2*(s - 4)**2*(s - 1)*(s + 2)/9
Let x be 0 + 2/8 - 28971/(-148). Let b = -116 + x. Factor -35 - b*y - 48 - 5*y**2 - 17 + 5*y**3.
5*(y - 5)*(y + 2)**2
Let o(k) = -110*k + 239*k - 12 + 14*k**2 - 112*k. Let j(m) = -6*m**2 - 9*m + 6. Let p(c) = 5*j(c) + 2*o(c). What is t in p(t) = 0?
-6, 1/2
Suppose -2*u - 493 = -5*s, -49*u - 2*s = -53*u - 962. Let v be (-6)/15*(u/3 - 2). Factor -2/3*n**4 - 70/3*n**2 + v*n + 0 - 26/3*n**3.
-2*n*(n - 1)*(n + 7)**2/3
Let z be (-39 - -30)*(-1 - 0) + (-410)/(-246). Let s be (-2)/(-3)*(0 - -1). Solve z + s*f**2 - 16/3*f = 0.
4
Let l = 71/21 + -19/7. Let k(u) be the first derivative of 2/15*u**5 + 1/3*u**4 - 1/9*u**6 - 11 - 4/9*u**3 + l*u - 1/3*u**2. Solve k(n) = 0.
-1, 1
Suppose 3*m - 14*m = -44. Let i be (-1)/(8/(-50)) + -33 + (17 - -11). Determine c so that i + 3/2*c**3 - 1/4*c**m - c**2 - 3/2*c = 0.
-1, 1, 5
Let t(g) be the first derivative of -50*g**2 + 40/3*g**3 - 12 + 5/4*g**4 + 0*g. Factor t(o).
5*o*(o - 2)*(o + 10)
Let h(f) be the third derivative of -1/4*f**4 + 0*f - 1/480*f**6 + 0 - 5/6*f**3 - 3/80*f**5 - 56*f**2. Determine t so that h(t) = 0.
-5, -2
Let k = 983 - 981. Let t(x) be the second derivative of 3/40*x**4 + 21/100*x**5 + 1/105*x**7 + 1/12*x**6 + 0*x**3 + 0 + 0*x**k + 5*x. Factor t(w).
w**2*(w + 3)**2*(4*w + 1)/10
Suppose 8 = 4*c - 0*c. Determine b so that -25*b**2 - 7*b + c*b - 12*b**3 - 8*b**3 = 0.
-1, -1/4, 0
Let d(c) = -45*c**3 - 1200*c**2 - 8040*c + 2080. Let t(w) = -22*w**3 - 595*w**2 - 4019*w + 1040. Let j(i) = 2*d(i) - 5*t(i). What is n in j(n) = 0?
-16, -13, 1/4
Let r(w) be the first derivative of -w**4/40 + 7*w**3/10 - 73*w**2/10 + 168*w/5 + 3255. Suppose r(d) = 0. What is d?
6, 7, 8
Solve 2*z**2 + 70375 + 1172*z + 53118 + 48205 = 0.
-293
Let q(b) = 7*b**2 + 1447*b + 1438. Let g(j) = -13*j**2 - 1453*j - 1437. Let n(z) = -2*g(z) - 3*q(z). Factor n(p).
5*(p - 288)*(p + 1)
Let u = 363691 + -727381/2. Factor -1/2*o - 2*o**4 - u*o**5 + 0 - 2*o**2 - 3*o**3.
-o*(o + 1)**4/2
Let v(n) be the first derivative of -2*n**5/65 - 123*n**4/26 - 162*n**3/13 - 121*n**2/13 - 5655. Factor v(s).
-2*s*(s + 1)**2*(s + 121)/13
Let s be (-27)/(7344/80)*-17. Let w(f) be the second derivative of 2/15*f**6 - 1/3*f**3 + 0 - 1/3*f**4 + 1/21*f**7 + 0*f**2 - 25*f + 0*f**s. Factor w(l).
2*l*(l - 1)*(l + 1)**3
Let o(l) be the second derivative of -l**4/4 + 205*l**3/3 - 14283*l**2/2 + 133*l. Let i(q) = q. Let r(d) = -4*i(d) - o(d). Factor r(a).
3*(a - 69)**2
Let i(p) = -2*p**2 - 12*p - 22. Let v be i(-6). Let k(c) = 4*c**2 + 28*c. Let h(g) = 21*g**2 + 141*g. Let a(w) = v*k(w) + 4*h(w). Factor a(u).
-4*u*(u + 13)
Let d(s) be the third derivative of -s**5/140 - 13*s**4/7 - 1352*s**3/7 - 265*s**2. Determine q so that d(q) = 0.
-52
Let s be 550/(-33)*510/(-2125). Factor 28/3*y**2 + 16/3*y + 14/3*y**3 + 2/3*y**s + 0.
2*y*(y + 1)*(y + 2)*(y + 4)/3
Let i(t) be the first derivative of -t**4 - 325 + 2*t**2 + 148/3*t**3 - 148*t. What is r in i(r) = 0?
-1, 1, 37
Suppose 0 = -33*l + 25*l + 2288. Factor -203 - 96*c**3 + 432*c**2 + 140*c**2 + 4*c**4 - 87 + 96*c - l.
4*(c - 12)**2*(c - 1)*(c + 1)
Let q(h) be the third derivative of 7/40*h**6 + 23/2*h**4 + 16*h**3 + 0 + 0*h + 15*h**2 - 17/5*h**5. Suppose q(d) = 0. Calculate d.
-2/7, 2, 8
Let v(l) = -5*l**2 - 612*l + 607. Let c(s) = 10*s**2 + 1225*s - 1210. Let b(o) = -2*c(o) - 5*v(o). Factor b(q).
5*(q - 1)*(q + 123)
Let s(f) = -f**3 + 8*f**2 - 60*f - 6. Let d(n) = -10*n**2 + 60*n + 5. Let x(p) = -p**2 - 4*p + 6. Let m be x(2). Let g(q) = m*d(q) - 5*s(q). Factor g(h).
5*h*(h - 2)*(h + 6)
Factor -2487*n**2 - 15*n - 2371*n**2 - 2452*n**2 + 7470*n**2.
5*n*(32*n - 3)
Let m be (22 - 8) + -13 - -4. Let v(p) be the first derivative of 1/3*p**4 - 2/3*p**2 - 2/3*p + 8/9*p**3 - 16 - 2/5*p**m. Suppose v(g) = 0. Calculate g.
-1, -1/3, 1
Let k be (1 - 0 - -261)/((-40)/(-14)). Let p = k - 183/2. Determine n so that 4/5*n**3 + 2/5*n - n**2 + 0 - p*n**4 = 0.
0, 1, 2
Let h(g) be the second derivative of -5*g**4/21 - 142*g**3/3 - 396*g**2/7 - 3*g - 236. Factor h(d).
-4*(d + 99)*(5*d + 2)/7
Suppose -p + 147 = m - 42, 0 = p + 2*m - 187. Let n = p - 189. Find w such that 3/4*w**4 + 0*w**3 - 3/2*w - 9/4*w**n + 0 = 0.
-1, 0, 2
Solve 1/6*t**2 - 64/3 + 4/3*t = 0 for t.
-16, 8
Suppose 0 = 4*s - 4*x - 0*x - 32, -5*s = -2*x - 25. Let q(l) be the first derivative of 1 + 0*l + 1/3*l**s + l**2. Factor q(m).
m*(m + 2)
Suppose 22/13*p**3 + 2/13*p**5 + 0*p + 12/13*p**2 + 12/13*p**4 + 0 = 0. Calculate p.
-3, -2, -1, 0
Let h(q) be the second derivative of q**6/2160 - q**5/180 + q**4/36 + 43*q**3/6 + q. Let d(t) be the second derivative of h(t). Suppose d(b) = 0. What is b?
2
Let v be 192/(-8)*((-10180)/440 + 23). Find m such that -194/11*m - 2*m**2 + v = 0.
-9, 2/11
Let g(i) = -2*i**2 + i - 1. Let z(h) = 15*h**2 - 63*h - 242. Let a(w) = -24*g(w) - 3*z(w). Let a(k) = 0. What is k?
-50, -5
Let i(a) be the second derivative of a - 1/6*a**4 - 10 - 1225*a**2 - 70/3*a**3. Suppose i(g) = 0. What is g?
-35
Suppose y + 6 + 32 = u, 5*y = -4*u + 197. Let a(l) be the third derivative of -1/360*l**5 - u*l**2 - 16/9*l**3 + 1/9*l**4 + 0 + 0*l. Factor a(q).
-(q - 8)**2/6
Let h(r) be the second derivative of r - 3*r**3 - 8 - 1/6*r**4 - 8*r**2. Factor h(i).
-2*(i + 1)*(i + 8)
Let r(j) be the first derivative of -9*j**6/14 - 858*j**5/35 + 3999*j**4/28 - 1254*j**3/7 + 324*j**2/7 + 6647. What is h in r(h) = 0?
-36, 0, 2/9, 1, 3
Find i such that 2/11*i**4 + 60/11*i**3 + 362/11*i**2 - 200 + 120/11*i = 0.
-22, -5, 2
Let u(d) = -d**3 + d**2 - d - 1. Let l be -2 - (12/(-3) + -4 - -5). Let c(i) = 3*i**3 - 33*i**2 + 53*i - 27. Let b(j) = l*c(j) - 2*u(j). Factor b(h).
5*(h - 5)*(h - 1)**2
Let d(j) be the first derivative of 0*j + 5*j**2 - 2/9*j**3 - 43. Factor d(h).
-2*h*(h - 15)/3
Let m(n) be the first derivative of -n**3/2 + 33*n**2/2 - 108*n + 2. Factor m(k).
-3*(k - 18)*(k - 4)/2
Let d(i) = 1 - 1 + i**2 - i - 1. Let b(x) = 16*x - 354. Let c be b(22). Let u(t) = 11*t**2 - 9*t + 3. Let h(a) = c*u(a) - 6*d(a). Factor h(p).
-4*p*(7*p - 6)
Let j(p) be the third derivative of 0 + 1/6*p**3 + 0*p - 7/48*p**4 + 1/420*p**7 - 1/48*p**6 - 47*p**2 + 3/40*p**5. Factor j(s).
(s - 2)*(s - 1)**3/2
Let g(l) be the third derivative of 2*l**7/21 - 229*l**6/15 + 10396*l**5/15 + 2116*l**4/3 - 4*l**2 - 23. Factor g(x).
4*x*(x - 46)**2*(5*x + 2)
Let w = 724975/192576 - -1/11328. What is d in -w - 2/17*d**3 - 8/17*d**2 + 56/17*d = 0?
-8, 2
Suppose -4*y = 5*d - 12, y = 4*d - 11 - 7. Let h(a) = a**3 + 4*a**2 + a - 4. Let x be h(y). Find k such that -5*k**2 + 25 + k**2 + 4*k + 5*k**x + 6*k = 0.
-5
Let x(d) = -55*d**2 - 9515*d - 19755. Let g(l) = 3*l**2 + 560*l + 1162. Let v(s) = 35*g(s) + 2*x(s). Factor v(c).
-5*(c - 116)*(c + 2)
Let w(c) = -c**2 - c. Let g(f) = -3*f**2 + f + 4. Let r(y) = 41*y - 3. Let j be r(1). Suppose 0 = -5*s - 32 - j. Let x(d) = s*w(d) - 2*g(d). Factor x(o).
4*(o + 1)*(5*o - 2)
Let a = 11420 - 11416. Let q(n) be the first derivative of 12 + 6*n + 2/3*n**3 + a*n**2. Find w such that q(w) = 0.
-3, -1
Let l = 92 + -90. Suppose -5 = l*o - 13. Factor -o*q + 3*q**4 - 2*q - 118*q**3 + 124*q**3 - 3*q**2.
3*q*(q - 1)*(q + 1)*(q + 2)
Let z(s) = -82*s**2 - 132*s. Suppose l = -2*k + 8, -53*l + 20 = -58*l. Let i(x) = -29*x**2 - 44*x. Let y(j) = k*z(j) - 17*i(j). Factor y(m).
m*(m - 44)
Let c(d) be the first derivative of -9*d**8/560 + d**7/14 - 13*d**6/120 + d**5/20 - 30*d**3 + 110. Let l(k) be the third derivative of c(k). Factor l(u).
-3*u*(u - 1)**2*(9*u - 2)
Let z(j) = -16*j**3 + 60*j**2 - 86*j - 5. Let t(k) = 13*k**3 - 57*k**2 + 86*k + 4. Let p(g) = 5*t(g) + 4*z(g). Solve p(y) = 0.
0, 2, 4