ive of l(v). Factor h(x).
-x**4
Determine z, given that -324*z**2 + 600*z + 66*z**3 + 507*z**4 - 384 - 1002*z**4 + 492*z**4 = 0.
2, 16
Find b such that 9/4*b + 15/2 - 3/4*b**2 = 0.
-2, 5
Let h(p) be the second derivative of -p**5/20 + 79*p**4/4 + p**3/6 - 237*p**2/2 + 25*p - 23. Determine a so that h(a) = 0.
-1, 1, 237
Suppose 6*p = -0*p + 120. Suppose -2*j + p - 2 = 0. Factor j*y - 9*y**2 - 7 + 12*y**2 - 5.
3*(y - 1)*(y + 4)
Let d(o) be the first derivative of o**4/38 - 4*o**3/19 - 40*o**2/19 - 1769. Factor d(k).
2*k*(k - 10)*(k + 4)/19
Let c(q) be the second derivative of -q**5/30 - 35*q**4/132 - 8*q**3/11 + 25*q**2/2 + 141*q. Let a(k) be the first derivative of c(k). Factor a(y).
-2*(y + 1)*(11*y + 24)/11
Let u(j) be the first derivative of 5*j**3/9 + 260*j**2/3 + 340*j - 5141. Determine z, given that u(z) = 0.
-102, -2
Let b(j) be the third derivative of -j**5/120 + 3*j**4/16 - 7*j**3/6 + 1352*j**2. Let b(s) = 0. What is s?
2, 7
Let g(x) be the first derivative of 5*x**4/4 - 620*x**3/3 - 630*x**2 - 6265. Solve g(s) = 0 for s.
-2, 0, 126
Let d(k) = 108*k**2 + 2288*k. Let n(l) = -28*l**2 + l. Let s(r) = -d(r) - 4*n(r). Suppose s(q) = 0. What is q?
0, 573
Let t(r) = 20 + 6*r - 7 - 5*r - 15 - r**2. Let n(w) = -18*w**2 + 15*w - 18. Let k(c) = n(c) - 15*t(c). Factor k(s).
-3*(s - 2)*(s + 2)
Determine w so that 164/3*w + 8/3 + 29/2*w**3 - 431/6*w**2 = 0.
-4/87, 1, 4
Let h(v) be the first derivative of -44/19*v**2 - 16/57*v**3 + 1/38*v**4 - 73 - 96/19*v. Factor h(r).
2*(r - 12)*(r + 2)**2/19
Let t(i) be the second derivative of -5*i**4/42 - 43*i**3/7 - 520*i**2/7 - 5275*i. Factor t(r).
-2*(r + 5)*(5*r + 104)/7
Let v(u) be the third derivative of -u**6/80 + 41*u**5/40 - 23*u**4/2 + 36*u**3 + 22*u**2 + 18. Factor v(c).
-3*(c - 36)*(c - 4)*(c - 1)/2
Let w = 3/205294 + 2052901/2668822. Factor -2/13*m**3 + w*m**2 - 10/13 + 2/13*m.
-2*(m - 5)*(m - 1)*(m + 1)/13
Factor 9/8*n**2 - 1815/8*n - 303/4.
3*(n - 202)*(3*n + 1)/8
Let t be (-130)/(-14) + (56 + -36)*(-6)/15. Suppose 18/7 + 1/7*i**2 - t*i = 0. What is i?
3, 6
Let l(t) be the third derivative of t**5/90 - 35*t**4/6 - 211*t**3/9 + 1473*t**2 - 2. Factor l(i).
2*(i - 211)*(i + 1)/3
Let y(j) be the first derivative of 49*j**4/24 - 1169*j**3/3 - 2013*j**2/4 - 216*j - 7585. Factor y(g).
(g - 144)*(7*g + 3)**2/6
Let d = 194431 - 583291/3. Determine y, given that 0 + 0*y**3 - 2/3*y + d*y**5 - 4/3*y**4 + 4/3*y**2 = 0.
-1, 0, 1
Let g = -2851/1320 - -3297/440. Determine c so that -g - 108*c**2 + 48*c = 0.
2/9
Let m = 121096 - 121088. Factor -2*y**3 - m*y - 3/2 - 17/2*y**2.
-(y + 1)*(y + 3)*(4*y + 1)/2
Let k(p) be the third derivative of p**5/20 - 269*p**4/4 + 72361*p**3/2 - 746*p**2. Let k(q) = 0. Calculate q.
269
Factor -2/7*k**4 + 48114/7 + 1296/7*k**2 + 12/7*k**3 + 14580/7*k.
-2*(k - 33)*(k + 9)**3/7
Determine d, given that 936/5 - 1/5*d**4 + 708/5*d - 1/5*d**3 + 122/5*d**2 = 0.
-6, -2, 13
Suppose 5/3*u**3 - 350 + 20/3*u**2 - 235/3*u = 0. Calculate u.
-6, -5, 7
Let c = 133 - 129. Find a, given that 15*a**4 - 20*a**4 - 3*a**c - a**5 = 0.
-8, 0
Factor -20*m + 102/5 - 2/5*m**2.
-2*(m - 1)*(m + 51)/5
Suppose 5*j + 5*m = 55, 3*m - 47 = -4*j - 0*j. Suppose 52 = j*v + 10. Factor 0 - 9/2*c**2 + 3/4*c**v + 27/4*c.
3*c*(c - 3)**2/4
Let x(z) be the first derivative of -49*z**5/5 - 77*z**4/3 - 64*z**3/3 - 8*z**2 - 124*z + 94. Let i(k) be the first derivative of x(k). Factor i(j).
-4*(j + 1)*(7*j + 2)**2
Let x be 996401/(-274)*72/(-182). Let h = x + -1438. Let 0 - 6/13*l - 38/13*l**3 + h*l**4 + 8/13*l**5 + 28/13*l**2 = 0. What is l?
-3, 0, 1/2, 1
Let g(b) be the first derivative of -b**5/30 + 2*b**4/3 - 14*b**3/3 + 12*b**2 + 3302. Factor g(k).
-k*(k - 6)**2*(k - 4)/6
Let b(i) be the second derivative of 0*i**2 - 1/20*i**5 - 107*i + 1/4*i**4 + 0*i**3 + 0. Factor b(r).
-r**2*(r - 3)
Let g(c) = 144*c + 2313. Let r be g(-16). Suppose 1/3*q**3 + 9*q - r - 3*q**2 = 0. What is q?
3
Let g(o) be the first derivative of 35*o**3/3 + 310*o**2 - 180*o + 1612. Factor g(w).
5*(w + 18)*(7*w - 2)
Suppose 278*v - 738 = 32*v. Let m(h) be the first derivative of 4/5*h**5 - 4/3*h**3 + 3/2*h**4 - v*h**2 + 5 + 0*h. Factor m(q).
2*q*(q - 1)*(q + 1)*(2*q + 3)
Let w = -530 + 207. Let i = -323 - w. Find c such that -2*c**4 + 0 + i*c + 4/3*c**2 - 2/3*c**3 = 0.
-1, 0, 2/3
Let w(h) be the second derivative of 3*h**5/20 - 31*h**4/2 + 116*h**3 + 1373*h. Find r, given that w(r) = 0.
0, 4, 58
Let i = 2/8633 + 12578271/43165. Let v = i - 2889/10. Factor -845/2 - v*b**2 + 65*b.
-5*(b - 13)**2/2
Let q(h) be the second derivative of 18*h + 0*h**3 + 1/10*h**5 - 1/21*h**7 + 0*h**2 + 1/6*h**4 - 1/15*h**6 + 0. Factor q(o).
-2*o**2*(o - 1)*(o + 1)**2
Let y(s) be the second derivative of s**7/84 + s**6/20 - 17*s**5/40 - 29*s**4/8 - 32*s**3/3 - 15*s**2 + 4168*s. Suppose y(b) = 0. Calculate b.
-3, -2, -1, 5
Let j be (-55 + 56)*(-2 + 5). Let y(a) be the first derivative of 0*a + 0*a**j - 1/4*a**4 - 26 + 1/5*a**5 + 0*a**2. Factor y(h).
h**3*(h - 1)
Let g(k) be the third derivative of -3*k**2 + 25/14*k**4 - 250/21*k**3 - 1/7*k**5 + 1/210*k**6 + 0*k - 1. Factor g(p).
4*(p - 5)**3/7
Let f(z) be the first derivative of -z**5/5 - 45*z**4/2 - 2617*z**3/3 - 13320*z**2 - 87616*z + 1398. Factor f(d).
-(d + 8)**2*(d + 37)**2
Let f be -4 + 6*6/12*-1 - -10. Let n(z) be the third derivative of -29*z**2 + 0*z + 1/35*z**7 - 1/15*z**6 + 0 + 0*z**f + 0*z**4 + 1/30*z**5. Factor n(d).
2*d**2*(d - 1)*(3*d - 1)
Let l(z) = -3*z**2 - 258*z + 1082. Let b be l(-90). Let q = 2 - 2. Solve -2/3*o**3 + b*o + 4/3 + q*o**2 = 0 for o.
-1, 2
Let h be (-14875)/(-150) - (-2)/(-12). Let f = h + -99. Determine j so that -2/13*j**4 + 0 + 4/13*j**2 + f*j + 2/13*j**3 = 0.
-1, 0, 2
Let n = -60 - -75. Let z(c) = -17*c + 257. Let q be z(n). Determine k so that -78/5*k - 2*k**4 + 54/5*k**3 + 36/5 - 10*k**q = 0.
-1, 2/5, 3
Let i(o) = 39*o**2 + 56*o + 10. Let g(y) = -20*y - 39*y**2 - 14*y - 9 + 3*y - 23*y. Let b(r) = -7*g(r) - 6*i(r). Factor b(u).
3*(u + 1)*(13*u + 1)
Suppose -115 = 23*l - 207. Let p(k) be the first derivative of 4/13*k**2 - 3/26*k**l + 0*k**3 - 2/65*k**5 + 8 + 0*k. Find q, given that p(q) = 0.
-2, 0, 1
Let f = -390136 + 390138. Solve 28/5*m - 74/5*m**f - 6/5*m**4 + 0 + 52/5*m**3 = 0 for m.
0, 2/3, 1, 7
Factor 68*a**2 - 14867 - 19981 - 444*a**2 + 4*a**3 + 6820*a.
4*(a - 72)*(a - 11)**2
Suppose -17*i + 13*i + 4*q + 8 = 0, 6 = 3*q. Let 10/7 + 24/7*m**2 - 2/7*m**4 - 4/7*m**3 - i*m = 0. Calculate m.
-5, 1
Solve -508*d**3 - 522*d**3 - 306*d + 1028*d**3 + 108*d**2 = 0.
0, 3, 51
Let c(l) be the second derivative of l**4/60 + 71*l**3/30 + 7*l**2 + 4020*l. Factor c(x).
(x + 1)*(x + 70)/5
Solve -1/3*j**3 - 35/3 + 1/3*j + 35/3*j**2 = 0 for j.
-1, 1, 35
Let k(r) be the first derivative of -r**4/10 + 314*r**3/15 + 276. Factor k(d).
-2*d**2*(d - 157)/5
Suppose 4*y - 107 = -131. Let a be 7/14 + 3/y. Factor 6/7*j**3 - 12/7*j**2 + a + 0*j.
6*j**2*(j - 2)/7
Determine c, given that -1278*c**2 + 25821*c**3 + 104 - 25779*c**3 - 434 - 1642*c + 8*c**4 = 0.
-15, -1, -1/4, 11
Let f = -220329 + 220332. Find u such that f*u**2 - 117/4*u - 15/2 = 0.
-1/4, 10
Let k(z) = z**2 - 74*z + 249. Let q(l) = l - 18. Let r be q(7). Let c(v) = -213*v + 39*v - 47*v + 746 + 4*v**2. Let s(y) = r*k(y) + 4*c(y). Solve s(n) = 0.
7
Let k(b) be the first derivative of 177 - 8/21*b**3 - 1/21*b**6 + 0*b - 1/7*b**4 + 3/7*b**2 + 8/35*b**5. Solve k(s) = 0 for s.
-1, 0, 1, 3
Let b be (-5979)/(-4 + 1*(3 + 0)). Let -5983*m - 84*m**2 + b*m + 84 + 0*m**3 + 4*m**3 = 0. Calculate m.
-1, 1, 21
Factor 16*t**2 - 133/2*t - 1/2*t**3 - 1083.
-(t - 19)**2*(t + 6)/2
Let m(z) = -z**3 - z**2 - z. Let t(f) = -88*f**2 + 168*f - 89. Let o(u) = 2*m(u) + t(u). Let b(v) = v**3 + v + 1. Let n(j) = 5*b(j) + o(j). Factor n(h).
3*(h - 28)*(h - 1)**2
Determine x, given that 5 - 5 + 14920*x - 17716*x - 4*x**2 = 0.
-699, 0
Suppose 4*w + 3*q - 5 = 0, 3*w + 3*q + 0*q = 3. Let h = 3 + w. Find z such that -z**3 + 8 - h*z**2 + 2 - 6 + 2*z**2 = 0.
-2, 1
Let i(g) = -g**5 + g. Let r(a) = 5*a**5 - 5*a**4 - 23*a**3 + a**2 + 18*a + 4. Let h = 357 + -358. Let v(n) = h*r(n) + 2*i(n). Find m such that v(m) = 0.
-1, -2/7, 1, 2
Suppose 6*f + 5*c - 18 = 0, 52*f = 49*f - c + 9. Let 1/3*o**2 + 0*o - 1/3*o**f + 0 = 0. What is o?
0, 1
Suppose -15364*h = -15354*h - 20. Factor 15*m - 51/2*m**h +