tive of -t**4/24 + t**3/4 - t**2/2 + 35*t + 62. Let c(b) be the first derivative of u(b). Factor c(l).
-(l - 2)*(l - 1)/2
Let c(v) be the third derivative of v**5/360 - v**4/36 - 221*v**3/36 + 300*v**2 + 1. Determine m, given that c(m) = 0.
-13, 17
Suppose -3*j - 24 = 4*n, 0*j = -2*j - 8. Let d be 396/252 - n/7. Determine q so that 0 - 3/4*q + 0*q**d + 3/4*q**3 = 0.
-1, 0, 1
Suppose 0*u + 4*u = -l + 54, -3*u + 3*l + 48 = 0. Let o be (-84)/u - 43/(-7). Factor 0*w + o*w**2 + 1/7*w**3 + 0.
w**2*(w + 1)/7
Factor -2/19*y**2 - 80/19 + 26/19*y.
-2*(y - 8)*(y - 5)/19
Suppose -13 = 32*h - 13. Let c(n) be the third derivative of h + 1/210*n**6 + 1/35*n**5 + 0*n + 1/21*n**4 + 12*n**2 + 0*n**3. Find b, given that c(b) = 0.
-2, -1, 0
Let l(a) = -3*a**3 + a**2 + a + 1. Let s(p) = -5*p**5 + 260*p**3 - 210*p**2 - 1515*p + 2670. Let j(b) = 30*l(b) + s(b). What is r in j(r) = 0?
-5, -4, 3
Let l = -28 - -36. Suppose -n + l = 4. Factor -4*u**n + 835*u - 835*u + 4*u**3.
-4*u**3*(u - 1)
Solve 12003*b - 15328*b - 27155*b + 15352338 + 25683958 + 5*b**2 + 5415224 = 0 for b.
3048
Let k be ((-4)/(-2))/(((-2)/(-4))/(161 + -160)). Factor -7/4*c**3 - 3/2*c**2 + 0 + 0*c - 1/4*c**k.
-c**2*(c + 1)*(c + 6)/4
Let j(t) be the first derivative of -t**6/6 - 36*t**5/5 + 63*t**4 - 1232. Factor j(m).
-m**3*(m - 6)*(m + 42)
Let t be 2/(-4)*(9 - 9). Suppose 5*q + x = q + 1679, t = q + 5*x - 434. Factor q*k**2 - 419*k**2 + 5*k**3.
5*k**3
Let y(w) = w**3 + 39*w**2 + 73*w - 35. Let s be y(-37). Solve h**2 - 45*h + 0*h**2 + h**s + 13*h - 26*h + 108 = 0 for h.
2, 27
Let t(a) = 22*a**2 + 2078*a - 2060. Let f(m) = -9*m**2 - 1038*m + 1031. Let z(g) = 15*f(g) + 6*t(g). Factor z(v).
-3*(v - 1)*(v + 1035)
Let x(t) be the third derivative of 13*t**2 - 55/24*t**4 + 10/3*t**3 - 1/24*t**6 + 0*t + 2 - 1/42*t**7 + 3/4*t**5. Suppose x(n) = 0. What is n?
-4, 1
Let y(d) be the second derivative of -60*d - 1/90*d**5 + 0 + 0*d**2 + 1/189*d**7 + 1/45*d**6 - 1/18*d**4 + 0*d**3. Let y(f) = 0. What is f?
-3, -1, 0, 1
Let j(c) = 12*c**2 - 3*c + 2. Let f be j(1). Factor -44*u**3 - 153*u - 216*u**4 - u**5 - 354*u**3 - 47*u**5 + f*u**3 - 27 - 345*u**2.
-3*(u + 1)**3*(4*u + 3)**2
Solve -56/15 - 2/15*p**3 + 32/15*p + 26/15*p**2 = 0.
-2, 1, 14
Let -60*n**3 - 70*n**3 + 2*n**5 + 1696*n - 1169 - 686*n**2 + 175 + 98 + 14*n**4 = 0. Calculate n.
-8, 1, 7
Suppose 0 = -4*i - 2*x + 6, 0 = -3*i + 7*x - 5*x + 22. Determine c, given that -21*c - 47*c**2 - 44*c + 3*c + 12*c**3 - 34*c + 3*c**i + 192 + 11*c**2 = 0.
-4, 2
Let m be 147/35*(2 - -3). Suppose m = 41*q + 21. Factor -3/2*h**2 + q*h + 0 + 3/2*h**3.
3*h**2*(h - 1)/2
Let j(x) = 56*x - 110. Let t be j(2). Let y(r) be the second derivative of 0*r**t + 0 - 2/5*r**3 - 7*r - 1/30*r**4. Solve y(o) = 0.
-6, 0
Suppose 4*g - 304/23 + 34/23*g**2 - 2/23*g**3 = 0. What is g?
-4, 2, 19
Factor 1352*u - 459*u**2 - 2*u**4 - 372*u**2 + 106*u**3 - 212*u**2 - 413*u**2.
-2*u*(u - 26)**2*(u - 1)
Let 0 - 100/13*p - 2/13*p**2 = 0. Calculate p.
-50, 0
Suppose -6*d + 215 + 43 = 0. Suppose 3 = 3*i - 0, 5*x - d = 2*i. Factor -2 - x*v - v**2 + 4 + 10*v.
-(v - 2)*(v + 1)
Let y(b) = -2*b**2 - 26*b + 4. Let c be y(-13). Let a(j) = 96*j**2 - 45*j - 12. Let n(s) = -95*s**2 + 44*s + 12. Let t(h) = c*a(h) + 3*n(h). Factor t(o).
3*(3*o - 2)*(11*o + 2)
Let r(z) be the third derivative of z**5/20 - 49*z**4/8 + 180*z**3 + 12*z**2 - 2*z + 4. Factor r(g).
3*(g - 40)*(g - 9)
Let s(f) be the first derivative of 2*f**6/3 - 316*f**5/5 + 1598*f**4 - 5768*f**3/3 - 3198*f**2 + 6084*f + 1089. Suppose s(w) = 0. What is w?
-1, 1, 39
Let l be ((-2205)/98)/(6/8). Let u be (-20)/l*(-3 + (-21)/(-6)). Factor 0 - u*a**3 + 1/3*a + 0*a**2.
-a*(a - 1)*(a + 1)/3
Let b(y) = -y**3 + y**2 + y. Suppose -4*q - 3*v - 4 = v, 0 = -4*v - 8. Let s(i) = 7*i**3 + 8*i**2 - 7*i - 12. Let u(p) = q*s(p) + 4*b(p). Factor u(x).
3*(x - 1)*(x + 1)*(x + 4)
Let g = 310 - 233. Suppose c**2 - 6 - g*c - 69*c + 147*c = 0. What is c?
-3, 2
Suppose -f + 4 + 11 = 0. Let 60 + 16*t**2 + 84 - f*t**2 - 24*t = 0. What is t?
12
Let h(w) be the second derivative of w**6/6 + 3*w**5/20 - 5*w**4/12 - w**3/2 - 2*w + 157. Suppose h(l) = 0. What is l?
-1, -3/5, 0, 1
Factor -141*w + 43 + 82*w + 20*w**2 - 173*w - 139.
4*(w - 12)*(5*w + 2)
Suppose 224 = 6*c - 142. Let b = c + -119/2. Let -b + 9/4*f - 3/4*f**2 = 0. Calculate f.
1, 2
Let i(j) = j**2 + j. Let b(x) = 7*x**2 - 3. Let m(r) = -b(r) + 6*i(r). Let c be m(6). Factor -33*l**3 - 33*l**c + 99*l**3 - 34*l**3 + 4*l**4.
l**3*(4*l - 1)
Let s(f) be the second derivative of -2*f**4/3 - 43*f**3/3 + 11*f**2 - 569*f. Factor s(m).
-2*(m + 11)*(4*m - 1)
Let h(u) be the third derivative of -u**5/60 + 71*u**4/24 - 76*u**2. Factor h(g).
-g*(g - 71)
Let j(g) be the third derivative of 1/960*g**6 + 0 + 0*g + 1/24*g**3 - 1/64*g**4 + 0*g**5 - 52*g**2. Suppose j(n) = 0. What is n?
-2, 1
Let g(t) be the first derivative of t**6/39 + 144*t**5/65 + 834*t**4/13 + 27488*t**3/39 + 47040*t**2/13 + 115200*t/13 - 469. Factor g(h).
2*(h + 4)**3*(h + 30)**2/13
Let v(u) = -u**2 - 12420*u + 12429. Let d(j) = -4140*j + 4143. Let h(l) = -8*d(l) + 3*v(l). Suppose h(r) = 0. What is r?
-1381, 1
Suppose -21*i = -27*i + 18. Suppose 34 = 4*v + 2. Determine t so that -t**2 - v*t + 2*t**i - 7*t**4 + 0*t**4 + 9*t**4 + 16 - 11*t**2 = 0.
-2, 1, 2
Suppose -5 = -4*x + 11. Suppose 0 = x*b - 61 - 7. Factor -b*j**5 + 2*j**3 - 8*j**3 - 2*j + 20*j**5 + 5*j.
3*j*(j - 1)**2*(j + 1)**2
Let v(h) = -h**2 + 109*h - 3070. Let r(i) = -4*i**2 + 435*i - 12258. Let s(l) = -6*r(l) + 26*v(l). What is g in s(g) = 0?
56
Factor -5*i**4 - 1199 + 2353*i + 207 - 1110*i**2 + 35 + 205*i**3 - 443 - 213*i.
-5*(i - 35)*(i - 2)**3
Let r = -90 + 94. Let g be ((-6)/r)/(-27*13/312). Solve -16/9*d**2 - 4/3*d**5 + 8/3*d**3 + 8/9*d**4 + 8/9 - g*d = 0 for d.
-1, 2/3, 1
Let t(a) be the second derivative of 0 + 1/6*a**6 + 5/6*a**3 - 5/12*a**4 - 35*a + 0*a**2 - 1/4*a**5. Factor t(d).
5*d*(d - 1)**2*(d + 1)
Let q(b) be the second derivative of 280/3*b**3 - 784*b**2 - 1 - 25/6*b**4 - 52*b. Let q(m) = 0. Calculate m.
28/5
Let x(t) be the first derivative of t**4/32 + 13*t**3/8 + 169*t**2/8 + 105*t + 4342. Factor x(l).
(l + 5)*(l + 6)*(l + 28)/8
Let f = 1/1247 + -1652/505035. Let g = f + 91/405. Factor -2/3*m**2 - 2/3*m - g*m**3 - 2/9.
-2*(m + 1)**3/9
Let m(a) be the first derivative of 2/15*a**5 - 58/3*a**3 + 9/2*a**4 - 20*a + 89/3*a**2 - 25. Factor m(n).
2*(n - 1)**3*(n + 30)/3
Let z = 57 + -27. Let a = z + -27. Factor 2*r**3 - 4*r**a + 2*r**3 - r**3 - 3*r**2 + 2 + r + r**4.
(r - 2)*(r - 1)*(r + 1)**2
Let a(u) = -11*u**3 + 128*u**2 - 157*u - 1635. Let m(y) = 16*y**3 - 190*y**2 + 236*y + 2451. Let j(f) = 7*a(f) + 5*m(f). Solve j(w) = 0.
-3, 6, 15
Solve -9 + 28*s**2 - 4*s - 2542*s**3 - 15 + 2546*s**3 + s**4 + s**4 - 6*s**4 = 0 for s.
-2, -1, 1, 3
Let a be -3 + (-2935)/975 + 4 + 2. Let b = a - -1574/1365. Factor 10/7 - b*s - 2/7*s**2.
-2*(s - 1)*(s + 5)/7
Suppose 20 = -w - 5*i, 30 = 4*w - 48*i + 46*i. Let r(o) be the second derivative of 0 - 1/36*o**4 + 14*o + 5/18*o**3 - 1/60*o**w - 1/2*o**2. Factor r(g).
-(g - 1)**2*(g + 3)/3
Let y = 2/2659113 + 39886681/18613791. Solve -12/7 + 3/7*p**3 + 24/7*p - y*p**2 = 0 for p.
1, 2
Let k(y) be the second derivative of -y**4/4 + 19*y**3/2 + 273*y**2 + 143*y - 1. Factor k(u).
-3*(u - 26)*(u + 7)
Let m(z) be the third derivative of -z**6/120 - 3*z**5/20 + 41*z**4/24 + 211*z**3/6 + 23*z**2 - 2*z. Let y be m(-11). Factor 0 - y*u - 1/5*u**2.
-u*(u + 10)/5
Let u(a) be the second derivative of -a**5/10 + 76*a**4/33 - 511*a**3/33 - 98*a**2/11 - 44*a. Factor u(s).
-2*(s - 7)**2*(11*s + 2)/11
Find d, given that 1/5*d**2 + 44/5*d + 43/5 = 0.
-43, -1
Suppose -2*y - 3 = -y, 2*y + 256 = 5*f. What is h in 108*h**2 - 96*h**3 + 99*h**2 + 12*h**4 - 35*h - f*h - 50*h = 0?
0, 3/2, 5
Let a be (-1 + 12/20)*-5. Suppose 982 = 1346*x - 1710. Factor 0 - 2*p**x + a*p**4 - 1/2*p**3 + 1/2*p.
p*(p - 1)*(p + 1)*(4*p - 1)/2
Determine c, given that -8/5*c**3 - 36 - 5*c**2 + 164/5*c + 1/5*c**4 = 0.
-5, 2, 9
Let o(l) be the first derivative of 2*l**5/5 - l**4/2 - 52*l**3 + 180*l**2 + 1296*l + 1698. Suppose o(n) = 0. Calculate n.
-9, -2, 6
Let 2982*x**2 + 24178*x**4 + 998*x**3 - 24176*x**4 + 992 + 2423*x + 555*x = 0. What is x?
-496, -1
Find a, given that -1/3*a**3 - 53/3*a - 40/3 - 14/3*a**2 = 0.
-8, -5, -