t derivative of -4*u**5/5 + 2*u**4 + 236*u**3/3 + 384*u**2 + 720*u + 8215. Let j(v) = 0. Calculate v.
-3, -2, 10
Let q(d) = 3*d**3 - 25*d**2 - 14*d + 7. Let r(a) = -2*a**3 + 17*a**2 + 9*a - 5. Let f(j) = 5*q(j) + 7*r(j). Find w such that f(w) = 0.
-1, 0, 7
Suppose -37*q = -25*q - 396. Suppose 2*g - 14 = 2*z, 3*z = 4*g - q + 7. Determine r so that -3/5*r**g - 6/5*r**4 + 0 + 6/5*r**2 + 12/5*r**3 - 9/5*r = 0.
-3, -1, 0, 1
Let o(z) = -z - 1. Suppose -q = -6*q + 5. Let g(x) = x**2 - 8*x - 9. Let a(m) = q*g(m) - 2*o(m). Find b such that a(b) = 0.
-1, 7
Let h(s) = 21*s**2 - 147*s - 304. Let g(d) = -31*d**2 + 146*d + 305. Let z(m) = 2*g(m) + 3*h(m). Factor z(x).
(x - 151)*(x + 2)
Let l(r) be the second derivative of 0 - 4/3*r**3 + r + 1/120*r**6 + 11*r**2 + 1/30*r**5 - 1/6*r**4. Let q(t) be the first derivative of l(t). Factor q(a).
(a - 2)*(a + 2)**2
Factor 2/5*l**2 - 20*l - 102/5.
2*(l - 51)*(l + 1)/5
Let q(u) be the second derivative of 11/3*u**3 - 9*u - 3 - 6*u**2 - 2/3*u**4. Factor q(j).
-2*(j - 2)*(4*j - 3)
Let s(k) be the second derivative of -k**4/78 + 7*k**3/13 - 8*k**2 + 383*k. Determine m so that s(m) = 0.
8, 13
Let z(q) be the first derivative of 11*q**6/600 - 3*q**5/100 - 17*q**4/30 - 2*q**3/5 + 187*q**2/2 - 144. Let w(x) be the second derivative of z(x). Factor w(n).
(n - 3)*(n + 2)*(11*n + 2)/5
Factor 0*z**5 - 21*z**4 - 8*z**2 - 24*z**3 + 11*z**4 + 18*z**3 - 2*z**5 - 10*z**3.
-2*z**2*(z + 1)*(z + 2)**2
Let z(y) be the first derivative of 2/3*y**3 - 126 - 36*y**2 - 74*y. Factor z(q).
2*(q - 37)*(q + 1)
Suppose -370*l = 366*l - 739*l. Let i(k) be the third derivative of 1/240*k**6 - 1/60*k**5 + 1/48*k**4 + 0 - 18*k**2 + 0*k**3 + l*k. Factor i(t).
t*(t - 1)**2/2
Let i be (-2)/(6/(-5))*3 + -2. Let -6*z**5 + 2*z**5 + 9*z**5 - 13*z**2 + 16*z**4 + 56*z + 16 - i*z**5 + 50*z**3 + 89*z**2 = 0. What is z?
-2, -1
Let z(c) be the first derivative of -c**4/14 - 4*c**3/21 + 25*c**2/7 + 100*c/7 + 3425. Factor z(u).
-2*(u - 5)*(u + 2)*(u + 5)/7
Factor 10/3*m**3 - 4/9*m + 0 - 26/9*m**2.
2*m*(m - 1)*(15*m + 2)/9
Let w(v) = 3684*v**3 - 2*v - v**2 + 0 - 3685*v**3 + 2. Let m be w(0). Factor -2*x + 4*x**4 + 6*x**4 + 10*x**3 - 3*x**4 + 2*x**m - x**4.
2*x*(x + 1)**2*(3*x - 1)
Suppose -4*g - 2*t - 622 = 3264, t = 3. Let r = -3871/4 - g. Solve -r*k**3 + 9/4*k**2 + 21/4*k + 3/2 - 15/4*k**4 = 0.
-1, -2/5, 1
Let r(h) = -6*h - 11. Let o be r(6). Let s = o - -52. What is v in 3*v**3 - 9*v**2 - 66*v**s + 63*v**5 - v**4 + 10*v**4 = 0?
-1, 0, 1, 3
Let m(s) be the second derivative of 3*s - 1/50*s**5 + 1/15*s**3 + 0*s**4 + 0*s**2 - 16. Suppose m(x) = 0. Calculate x.
-1, 0, 1
Let i(v) = v**2 + 4*v + 4. Let f be i(17). Factor -2*p**2 + f + p**2 + p - 39*p + 2*p**2.
(p - 19)**2
What is t in 3*t**2 - 4*t**2 + 56*t + 0*t**2 - 240 + 0*t**2 + 2*t**2 = 0?
-60, 4
Let t(j) be the first derivative of 3*j**7/280 - 23*j**6/120 + 43*j**5/120 - 7*j**4/24 + 17*j**3 - 38. Let q(m) be the third derivative of t(m). Factor q(a).
(a - 7)*(3*a - 1)**2
Let z(f) be the first derivative of -f**3/3 - 1926*f**2 - 3709476*f + 1054. Find i such that z(i) = 0.
-1926
Let q be -1 + 1 + ((-49)/(-28) - 2/(-8)). Let k(z) be the second derivative of 0 - 17*z + 1/12*z**4 + q*z**2 + 5/6*z**3. Determine m, given that k(m) = 0.
-4, -1
Solve -153/4*y**2 + 3/8*y**4 + 0*y**3 - 75*y - 297/8 = 0 for y.
-9, -1, 11
Find f, given that 16/7 + 292/7*f + 912/7*f**2 = 0.
-1/4, -4/57
Factor 26368*d**2 + 50*d**4 - 36007*d**3 - 1637*d**3 - 5272*d + 4654*d**3.
2*d*(d - 659)*(5*d - 2)**2
Let n(k) be the second derivative of -k**6/105 - 4*k**5/35 - 11*k**4/42 + 8*k**3/21 + 12*k**2/7 + k - 328. Find o, given that n(o) = 0.
-6, -2, -1, 1
Suppose 44 = 27*k - 5*k. Let x(w) be the second derivative of 54/5*w**k + 6/5*w**3 + 0 + 1/20*w**4 - 22*w. Factor x(c).
3*(c + 6)**2/5
Suppose 15 = 3*g + 2*x, -7*x = -2*x. Factor 20*y**3 + 12*y**5 - g*y**3 + 17*y**2 - 14*y**2 + 24*y**4.
3*y**2*(y + 1)*(2*y + 1)**2
Find z, given that -4/7*z**3 + 68/7*z**2 + 396/7 - 300/7*z = 0.
3, 11
Solve 4/5*h + 9/5*h**2 - 1/5*h**3 - 36/5 = 0.
-2, 2, 9
Let l be -3 + (-90115)/(-24585) - 20/30. Let h = l + 1657/14751. Factor -h + 1/9*t**2 + 1/9*t - 1/9*t**3.
-(t - 1)**2*(t + 1)/9
Suppose 43*s - 166 = 49. Let g(q) be the second derivative of 0 + 3/2*q**4 - 3*q**3 - 3/10*q**s + 1/45*q**6 - 16*q + 0*q**2. What is x in g(x) = 0?
0, 3
Let m(o) = 6 - 3 - 5*o - 5*o**3 + 2*o**3 - 3*o**2. Let g(u) = u**3 + u**2 + u - 1. Let t = -7 + 3. Let h(y) = t*g(y) - m(y). Determine l, given that h(l) = 0.
-1, 1
Let o(a) be the second derivative of -a**5/270 - 2*a**4/27 - 4*a**3/9 - 51*a**2 + 99*a. Let j(c) be the first derivative of o(c). Solve j(n) = 0.
-6, -2
Let q(p) = -20*p**3 + 76*p**2 + 106*p + 14. Let r(f) = 21*f**3 - 80*f**2 - 106*f - 11. Let g(a) = 3*q(a) + 2*r(a). Let g(v) = 0. Calculate v.
-1, -2/9, 5
Suppose -12 = 16*v + 4. Let h(k) = -3*k**2 + 2*k + 13. Let s(y) = y - 1. Let u(o) = v*h(o) - 4*s(o). Find l such that u(l) = 0.
-1, 3
Find g such that 8/3*g**5 + 2/3*g**4 + 0 - 32*g**3 - 32/3*g - 152/3*g**2 = 0.
-2, -1/4, 0, 4
Let z(k) be the first derivative of 12 + 0*k + 1/18*k**3 - 1/12*k**2. Factor z(h).
h*(h - 1)/6
Let r be ((-20)/(-14))/((-150)/14 - -11). Let p(v) be the third derivative of 0*v + 14*v**2 + 0*v**r + 0*v**3 + 0*v**4 - 1/660*v**6 + 0. Factor p(l).
-2*l**3/11
Solve -67*a + a**2 - 13*a - a**4 - 6*a**2 + 3*a**3 + 29*a**2 = 0.
-5, 0, 4
Suppose 5*d = -3*u + 9*d + 5, 1 = d. Find s such that u + 1 + 4 + 65*s - 30*s**2 - 4 - 14 = 0.
1/6, 2
Let m be (-2*1483/8)/((-1)/(-4)). Let q = 1483 + m. Factor -3/7*w**4 + 0 + q*w + 0*w**3 + 4/7*w**2 + 1/7*w**5.
w**2*(w - 2)**2*(w + 1)/7
Factor 5*x**2 + x - 585 + 121 + 155*x - x**2 + 68*x.
4*(x - 2)*(x + 58)
Suppose -8*x + 74 = -1 + 27. Let v(q) be the third derivative of 0*q + 1/32*q**4 + 3/160*q**5 + 0*q**3 - 3*q**2 + 0 + 1/320*q**x. Factor v(c).
3*c*(c + 1)*(c + 2)/8
Let w = -92810 - -831044/9. Let z = w - -472. Suppose -4/9*i + z*i**2 + 0 = 0. What is i?
0, 2
Let s be -16 - (-16 - (-49)/(4459/(-26))). Suppose 16/7*n**3 + 0 - 18/7*n**2 + 0*n + s*n**4 = 0. Calculate n.
-9, 0, 1
Determine q so that -424320*q - 37896/5*q**3 - 2/5*q**5 + 511328/5*q**2 - 576/5*q**4 + 576000 = 0.
-150, 4
Find k such that -235 - 11*k**2 + 5*k**3 + 12*k**2 - 9*k**2 - 60*k**2 - 177*k**2 + 475*k = 0.
1, 47
Let h(g) be the third derivative of 0*g**3 + 0*g + 5*g**2 + 1/24*g**4 - 1/60*g**5 + 0. Determine m so that h(m) = 0.
0, 1
Let n be (1 + -7 - -4)*21/(-6). Solve -14*w**3 - n*w**3 + 9*w**3 + 4*w**4 = 0.
0, 3
Suppose 22*x + 868 = 36*x. Suppose 3 = 3*c + u, u + 13 = -c - 4*u. Find d, given that -16 + x*d**c - 66*d**2 - 24*d + 4*d = 0.
-4, -1
Let j(f) be the first derivative of f**6/2520 - f**5/140 - f**3/3 + 9*f + 112. Let z(x) be the third derivative of j(x). Find q such that z(q) = 0.
0, 6
Let o = 438041/1204643 + 1/109513. Determine h, given that 8/11*h**2 - 26/11*h**5 - 4/11*h**4 + 52/11*h**3 - 26/11*h - o = 0.
-1, -2/13, 1
Let z(i) = i. Let l be z(4). Suppose 66*n + 10179 - 5306 = 5071. Determine o, given that 0 + 1/6*o**5 - 1/3*o**2 + 5/6*o**n - 2/3*o**l + 0*o = 0.
0, 1, 2
Let d = -12 + 20. Suppose -d*r + 164 = -84. What is m in -135*m + 12*m**2 + 79 + 55*m - r = 0?
2/3, 6
Let z be (3 - 9)/(1 + -3). Let j = 9 - z. Determine f, given that -j*f**2 + 4*f**2 + 5*f**4 + 13*f**3 - 4*f + 6*f**2 = 0.
-2, -1, 0, 2/5
Let o(v) = 12*v**2 - 21*v - 13. Let i(x) = x**2 - 1. Let a(f) = 2*i(f) - o(f). Let c(m) = -m**2 + 2*m + 1. Let r(s) = -4*a(s) + 44*c(s). Factor r(k).
-4*k*(k - 1)
Let s = 15815 - 15815. Let y(p) be the third derivative of 1/3*p**4 - 12*p**2 + 0 + 0*p - 1/5*p**5 + 2/105*p**7 + s*p**6 + 0*p**3. Find k such that y(k) = 0.
-2, 0, 1
Let q(b) be the second derivative of -17/4*b**4 - 1 - 1/14*b**7 - 3/10*b**6 + 3*b**3 - 29*b + 9/4*b**5 + 0*b**2. Let q(t) = 0. Calculate t.
-6, 0, 1
Let q(o) be the first derivative of o**6/42 + 19*o**5/7 + 598*o**4/7 + 2116*o**3/7 + 3392. Suppose q(p) = 0. What is p?
-46, -3, 0
Let x(v) be the second derivative of -9*v**3 + 27/10*v**5 - 4 - 243/2*v**2 + 1/10*v**6 + 3*v + 20*v**4. Factor x(k).
3*(k - 1)*(k + 1)*(k + 9)**2
Let i(g) be the first derivative of g**6/39 + 2*g**5/13 + 163. Suppose i(c) = 0. Calculate c.
-5, 0
Suppose -9 + 63 = 27*r. Suppose 54112 - 54048 + 10*h - 4*h**r - h**3 + 6*h = 0. What is h?
-4, 4
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