for d.
-3, -1
Let h(t) be the second derivative of -5*t**4/24 - 15*t**3 - 175*t**2/4 - 1159*t. Solve h(y) = 0 for y.
-35, -1
Let i(f) = -101*f + 7. Let b be i(-1). Suppose -62 = -5*w + b. What is y in -203 - 16*y + 2*y**4 + 203 + w*y**2 - 20*y**3 = 0?
0, 1, 8
Let m(x) be the second derivative of 845*x**5 - 1495*x**4 + 176*x**3 - 8*x**2 - x + 2561. Find j, given that m(j) = 0.
2/65, 1
Let z(x) be the second derivative of -x**7/2520 - 7*x**6/240 + 11*x**5/60 + 133*x**4/12 + 2*x - 45. Let k(g) be the third derivative of z(g). Factor k(b).
-(b - 1)*(b + 22)
Determine q so that 90*q**2 + 2*q**4 - 281*q**2 - 44*q**3 - 145*q**2 = 0.
-6, 0, 28
Let h be 21 + -27 - (-1566)/72. Find z, given that h*z + 3/8*z**2 + 1323/8 = 0.
-21
Let c(r) be the first derivative of r**4/16 - 13*r**3/12 - 43*r**2/4 - 18*r + 2999. Factor c(i).
(i - 18)*(i + 1)*(i + 4)/4
Let k be (-16804)/(-2400) + 175/(-25). Let i(v) be the third derivative of 0*v**3 + 17*v**2 + 0 + 0*v - k*v**6 - 1/75*v**5 - 1/30*v**4. Solve i(s) = 0 for s.
-2, 0
Let o(m) = -2289*m + 25183. Let l be o(11). Factor -2/9*k**l + 0 + 4/9*k + 2/9*k**2 - 4/9*k**3.
-2*k*(k - 1)*(k + 1)*(k + 2)/9
Factor 446 - 10*l**2 - 2596*l + 493 + 101.
-2*(l + 260)*(5*l - 2)
Let i(l) = -l**3 - 3*l**2 + 41*l + 10. Let s be i(-8). Factor -130*a**2 - 56*a + 126*a**3 + 3*a**5 - 98*a**s + 164*a + 33*a**3 - 42*a**4.
3*a*(a - 9)*(a - 2)**2*(a - 1)
Suppose 12*l = 8*n - 11*n + 48, 2*l = -3*n + 8. Let i(d) be the third derivative of 0 - 34*d**2 + 11/36*d**l + 0*d - 7/45*d**5 - 2/9*d**3. Solve i(h) = 0 for h.
2/7, 1/2
Let z(i) be the third derivative of -i**5/360 + 139*i**4/144 - 137*i**3/18 - 5*i**2 - 83*i. Solve z(q) = 0.
2, 137
Let z(a) be the third derivative of 2/3*a**3 + 1/60*a**6 - 1/20*a**5 + 2 + 0*a - 1/6*a**4 + 1/210*a**7 - 6*a**2. Find f such that z(f) = 0.
-2, 1
Factor -1/5*g**2 - 7/5*g - 6/5.
-(g + 1)*(g + 6)/5
Suppose -5067 = -1222*t - 924 + 745. Factor 4 - 5/4*o**t + 8*o - o**3 - 1/4*o**5 + 4*o**2.
-(o - 2)*(o + 1)*(o + 2)**3/4
Let h(y) = -8*y + 2346. Let v be h(0). Let -v + 7*k**3 - 2166*k + 16064 - 9*k**3 + 114*k**2 = 0. What is k?
19
Find z such that -1/2*z**3 + 9/2*z**2 - 60 + 23*z = 0.
-5, 2, 12
Let f(v) = -4*v**3 - 14*v**2 - 24*v - 12. Let c(b) = 5*b**3 + 14*b**2 - 339 - 3*b + 28*b + 352. Let w(s) = -2*c(s) - 3*f(s). Solve w(a) = 0.
-5, -1
Suppose -27*w = -28*w + 3. Let h(l) be the second derivative of 1/120*l**5 - 1/12*l**2 + 11*l + 0 - 1/24*l**4 + 1/12*l**w. Factor h(c).
(c - 1)**3/6
Let b(j) be the first derivative of 3*j**7/1120 - 5*j**6/96 + j**5/20 + 8*j**3 + 191. Let n(d) be the third derivative of b(d). Factor n(i).
3*i*(i - 8)*(3*i - 1)/4
Let a(r) = -8*r + 94. Let u be a(11). Let j be (-1)/u*-4*(-3)/(-6). Factor j*i**2 + 7/3*i + 2.
(i + 1)*(i + 6)/3
Let c(i) = i**2 - 9*i - 8. Let m be c(-1). Solve -2103*w**m - 3*w + 3*w - 3*w**3 + 2133*w**2 = 0.
0, 10
Let i(q) be the second derivative of 28/27*q**3 - 1/54*q**4 + 9 - 196/9*q**2 + 2*q. Factor i(n).
-2*(n - 14)**2/9
Let v(r) be the first derivative of -9/2*r - 2*r**3 - 1/30*r**5 + 9/2*r**2 + 36 + 5/12*r**4. Factor v(z).
-(z - 3)**3*(z - 1)/6
Let y(g) be the third derivative of -11*g**7/945 + 28*g**6/135 - 59*g**5/54 + 25*g**4/54 + 8*g**2 + 45*g. What is j in y(j) = 0?
0, 2/11, 5
Let w(y) = -15*y**3 + 1035*y**2 + 125*y - 1035. Let p(m) = -m**3 + 74*m**2 + 9*m - 74. Let v(s) = 55*p(s) - 4*w(s). Find a, given that v(a) = 0.
-1, 1, 14
Suppose -9 = 22*v - 25*v. Suppose 3*c - 3 = 3*d, c - v = 2. Factor 4*p**2 - d*p + p**2 + 3 - 4*p**2.
(p - 3)*(p - 1)
Let f be ((-3)/15)/(6/(-19) - 43734/74860). Factor -f*c**2 + 0 + 1/3*c**3 - 1/9*c**4 + 0*c.
-c**2*(c - 2)*(c - 1)/9
Let y(b) be the third derivative of 16/33*b**4 + 1/33*b**5 + 1/1320*b**6 + 128/33*b**3 + 0 + b + 9*b**2. Find c, given that y(c) = 0.
-8, -4
Let q(t) be the third derivative of -t**6/120 - t**5/20 - 5*t**4/8 - 37*t**3/3 + t**2 + 397*t. Let a be q(-4). Factor 2 - 4/3*r - 2/3*r**a.
-2*(r - 1)*(r + 3)/3
Let k(v) be the first derivative of v**3/9 - 5*v**2/6 + 2*v + 905. Factor k(d).
(d - 3)*(d - 2)/3
Let k(q) be the second derivative of q**4/6 + 488*q**3/3 - 489*q**2 - 33*q + 22. Factor k(o).
2*(o - 1)*(o + 489)
Let d(s) be the third derivative of 0*s**3 + 0 + 0*s**4 + 217*s**2 + 0*s**5 - 1/105*s**7 - 1/120*s**8 + 0*s + 1/150*s**6. Factor d(r).
-2*r**3*(r + 1)*(7*r - 2)/5
Let l(i) be the second derivative of -1296/5*i**3 - 1/25*i**6 - 21/10*i**5 - 2 + 5184/5*i**2 - 2*i - 198/5*i**4. Factor l(j).
-6*(j - 1)*(j + 12)**3/5
Let d = 1049/182 - 31/26. Let j be (1/3)/(-7 + (-182)/(-24)). Suppose -d*f + 24/7*f**2 + 12/7 - j*f**4 + 0*f**3 = 0. What is f?
-3, 1
Let z(p) be the third derivative of p**5/30 - 307*p**4/2 + 282747*p**3 - 7955*p**2. Find n such that z(n) = 0.
921
Let q(s) be the third derivative of s**7/735 + 467*s**6/420 + 2*s**2 - 307*s. Factor q(k).
2*k**3*(k + 467)/7
Suppose 23*q = 30*q + 42. Let m(i) = 19*i + 116. Let z be m(q). Suppose 8/7 - 26/7*c**3 + 40/7*c - z*c**5 + 38/7*c**2 - 46/7*c**4 = 0. Calculate c.
-2, -1, -2/7, 1
Let p(n) = -n**3 - 6*n**2 - 2*n + 21. Suppose -o + 2*x = -13 + 14, 0 = -3*o - 5*x - 14. Let h be p(o). Determine t so that 0 + 2/3*t**2 + h*t + 2/3*t**3 = 0.
-1, 0
Let i(n) be the second derivative of -1/135*n**6 + n**2 - 4/27*n**4 - 17 - 2/9*n**3 - 3*n + 1/15*n**5. Let i(u) = 0. What is u?
-1, 1, 3
Let c(l) = -27*l**2 + 728*l + 184. Suppose 3*u - 5*y = -5 - 4, -9 = 3*u + 5*y. Let k(n) = -13*n**2 + 364*n + 92. Let r(m) = u*c(m) + 5*k(m). Factor r(w).
4*(w - 23)*(4*w + 1)
Let n be ((-18)/(-10) + -1)/(-30*(-168)/600). Factor n*q**2 + 0*q - 2/21.
2*(q - 1)*(q + 1)/21
Let n be (-1 + (-58)/2)*(-195 + (-580922)/(-2982)). Factor -8/7*b**2 - 50/7 - n*b.
-2*(2*b + 5)**2/7
Let m be (12/28)/((-18)/(-28) + (-63)/126). Factor -2/5*o**m + 14/5*o**2 + 18/5 - 6*o.
-2*(o - 3)**2*(o - 1)/5
Let w(d) be the second derivative of d**4/24 - 133*d**3 - 1597*d**2/4 - 4424*d. What is n in w(n) = 0?
-1, 1597
Let t(v) = -7*v**3 - 91*v**2 - 24*v - 310. Let i be t(-13). Let d = 1/32 - -7/32. Let -16 - d*k**i + 4*k = 0. Calculate k.
8
Let u(a) be the third derivative of a**6/300 - 68*a**5/75 - 137*a**4/60 - 306*a**2. Find j, given that u(j) = 0.
-1, 0, 137
Let s(v) be the first derivative of -v**6/165 + v**5/22 - 2*v**4/33 + 192*v - 227. Let q(g) be the first derivative of s(g). Let q(k) = 0. Calculate k.
0, 1, 4
Let z(r) be the third derivative of r**5/120 + 187*r**4/4 - 2245*r**3/12 - 88*r**2 - 5*r - 2. Factor z(k).
(k - 1)*(k + 2245)/2
Suppose 0 = 141*f - 27*f + 96*f - 9030. Let l(x) be the second derivative of 3/10*x**6 - 5/4*x**5 + x**4 - f*x + 0 + 2/3*x**3 + 0*x**2. Factor l(b).
b*(b - 2)*(b - 1)*(9*b + 2)
Let g(o) be the first derivative of -2*o**6/9 - 11*o**5/15 + 19*o**4/6 + 9*o**3 + 6*o**2 - 3435. Let g(r) = 0. What is r?
-4, -1, -3/4, 0, 3
Suppose 3 = -3*m + 2*v - 5, -5*v + 20 = 0. Let q be 16 + -12 + -1 + m. Factor i**4 + 2*i**4 + 2*i**5 - 5*i**4 - q*i**5 - i**3.
-i**3*(i + 1)**2
Let t(l) be the third derivative of 0 - 2/3*l**5 - 8000*l**3 - 3*l + 1/540*l**6 + 100*l**4 + 6*l**2. Let t(z) = 0. What is z?
60
Let f(l) be the third derivative of -l**5/135 - 4*l**4/3 + 3*l**2 - 149. Determine q so that f(q) = 0.
-72, 0
Let x(y) be the third derivative of y**5/180 + 59*y**4/72 + 29*y**3/9 + 7421*y**2. Determine s, given that x(s) = 0.
-58, -1
Solve 4/3*b**4 + 0 - 4/3*b**2 - 6*b**5 + 0*b + 6*b**3 = 0 for b.
-1, 0, 2/9, 1
Let t be (-2)/(-6)*(-126)/(-441). Let s(o) be the second derivative of 0*o**2 - t*o**3 + 0*o**4 + 0 + 1/140*o**5 + 16*o. Determine l so that s(l) = 0.
-2, 0, 2
Let i(l) be the second derivative of -l**7/189 - 4*l**6/135 + 13*l**5/45 + 10*l**4/9 - 25*l**3/3 - 2*l + 71. Let i(w) = 0. Calculate w.
-5, 0, 3
Let 0 + 24/11*q - 2*q**2 + 2/11*q**4 - 4/11*q**3 = 0. Calculate q.
-3, 0, 1, 4
Let l(k) be the first derivative of -2*k**3/27 - 82*k**2/9 - 158*k/3 + 3624. Factor l(i).
-2*(i + 3)*(i + 79)/9
Let g(z) = -20*z + 42. Let h be g(2). Factor 235*s**3 + 19*s**5 + 40*s + 182*s**h + 821*s**4 + 5 - 646*s**4 - 1 - 37*s**2 + 30*s**5.
(s + 1)**3*(7*s + 2)**2
Determine p so that -435/2*p**2 + 0 - 219*p + 3/2*p**3 = 0.
-1, 0, 146
Let t(j) = j**2 - 6*j + 2. Let m be t(8). Suppose -24 = -2*b - m. Factor a**5 + 11*a - 12*a - b*a**2 - 2*a**4 + 5*a**2.
a*(a - 1)**3*(a + 1)
Suppose 186 + 1884*a**3 - 1881*a**3