 + 0*t + i*t**5 - 11 + 0*t**2. Let d(k) = 0. What is k?
-2, 0, 1
Let k(c) be the third derivative of 11/16*c**4 - 27 + 2*c**2 + 1/240*c**6 + 3/20*c**5 + 4/3*c**3 + 0*c. Determine a, given that k(a) = 0.
-16, -1
Let s(r) be the second derivative of r**4/54 - 11*r**3/9 - 658*r**2/9 + 44*r + 40. Factor s(a).
2*(a - 47)*(a + 14)/9
Let u(y) be the third derivative of 0*y - 1/240*y**6 - 88*y**2 - 1/6*y**4 - 3/40*y**5 + 0*y**3 + 0. Determine o so that u(o) = 0.
-8, -1, 0
Let d(x) = 3*x**2 + 35*x + 24. Let k be d(-14). Let s = k - 116. Factor s*m**3 + 7*m - 13*m - m**2 + m**4 + 0*m**4.
m*(m - 1)*(m + 1)*(m + 6)
Let t be 164/16 + (-1)/4. Let -22*x**3 + t*x**2 + 2*x**3 - 18 + 6*x + 22*x**3 = 0. Calculate x.
-3, 1
Let c be -3*(3 - 26/6). Suppose 0 = -c*q + 4, 5*q - 1 = 6*n - 4*n. Factor -3/4*j**3 + 0 + 3/4*j + 0*j**n.
-3*j*(j - 1)*(j + 1)/4
Let y(a) be the first derivative of -2*a**2 - 2/15*a**3 - 10*a + 61. Let y(w) = 0. Calculate w.
-5
Factor 0 + 2/5*i**2 - 962/5*i.
2*i*(i - 481)/5
Let k be 24354/24805 - (2 + 6/(-5)). Let j = 2631/11 + -239. Factor k*s**2 + 2/11*s**3 - 2/11*s - j.
2*(s - 1)*(s + 1)**2/11
Factor 130321/3 - 722/3*w + 1/3*w**2.
(w - 361)**2/3
Suppose -24217*q + 23840*q = 0. Let 3/5*x**2 + 39/5*x + q = 0. What is x?
-13, 0
Let t(a) = -7*a**3 - 42*a**2 - 113*a. Let i(w) = 37*w**3 + 207*w**2 + 563*w. Let g(o) = -2*i(o) - 11*t(o). Factor g(r).
3*r*(r + 3)*(r + 13)
Let s = -35807 - -250673/7. Solve 2/7 - s*o**4 + 5/7*o**5 + 40/7*o**3 + 3/7*o - 26/7*o**2 = 0 for o.
-1/5, 1, 2
Let c(p) = -p**3 - 36*p**2 - 278*p - 73. Let v be c(-25). Solve -6962/7 - 2/7*h**v - 236/7*h = 0 for h.
-59
Let m be (-9)/(-15) + ((-36)/(-15))/(-4). Factor -40*l**2 - 25*l**3 + m*l - 5*l**4 + 2 - 2 - 20*l.
-5*l*(l + 1)*(l + 2)**2
Let m be ((-75)/(-2) + -4)/(3/6). Suppose 0 = -l - 50 + m. Suppose 35 - l*g**2 - 47 - 3*g**3 - 27*g - g**2 = 0. Calculate g.
-4, -1
Determine g, given that 368*g**2 + 1472*g - 6952*g - 364*g**2 + 1876900 = 0.
685
Suppose -325*p - 21 = -324*p. Let v be 48/p*13/(-26). What is x in -v*x**2 + 12/7 + 46/7*x = 0?
-1/4, 6
Let j(m) = m**3 - 4*m**2 - 47*m + 108. Let u(s) = -3*s**2 - 48*s + 108. Let c(h) = 3*j(h) - 2*u(h). Factor c(a).
3*(a - 3)**2*(a + 4)
Let p(x) be the third derivative of 31*x**6/24 + 289*x**5/60 - 11*x**4/6 - 2*x**3/3 + 2*x**2 - 587. Determine y, given that p(y) = 0.
-2, -2/31, 1/5
Let x be 72/(-132) + (-567)/(-11). Suppose -x = 10*h - 101. What is y in -4*y**2 - 6/5 + 6/5*y**h - 26/5*y + 4*y**3 + 26/5*y**4 = 0?
-3, -1, -1/3, 1
Let o(k) be the first derivative of -k**5/10 + 43*k**4/2 - 57*k**3/2 - 6634. Find m, given that o(m) = 0.
0, 1, 171
Let w(p) = 13*p**3 + 107*p**2 - 201*p - 315. Let v(d) = 22*d**3 + 215*d**2 - 402*d - 630. Let m(z) = 4*v(z) - 7*w(z). Find x such that m(x) = 0.
-1, 3, 35
Let 32/5 + 166*s**2 + 98/5*s**5 + 506/5*s**4 + 962/5*s**3 + 308/5*s = 0. What is s?
-2, -1, -8/49
Let k = 8269 - 41344/5. Let g(h) be the second derivative of 1/30*h**4 + 0 + 0*h**2 + 16*h - k*h**3. Factor g(b).
2*b*(b - 3)/5
Let f(u) be the first derivative of 2*u**3/45 - 273*u**2/5 - 328*u/3 - 3129. Factor f(k).
2*(k - 820)*(k + 1)/15
Suppose 46*f - 72 - 29 = -9. Let u(o) be the second derivative of -f*o**3 - 29*o + 0 + 1/10*o**6 + 9/4*o**4 + 0*o**2 - 9/10*o**5. Find g such that u(g) = 0.
0, 1, 4
Let q(w) be the second derivative of -10 - 1/3*w**3 + 1/10*w**5 - 2*w + 0*w**4 - 1/2*w**2 + 1/30*w**6. Factor q(k).
(k - 1)*(k + 1)**3
Let p(j) be the third derivative of -70*j**2 + 11/192*j**4 + 0 + 1/480*j**5 + 0*j**3 + 0*j. Solve p(w) = 0.
-11, 0
Let f = 237 + -184. Let g be f + -51 - (56/(-9))/(-4). Factor g*n - 2/3 + 2/9*n**2.
2*(n - 1)*(n + 3)/9
Find u such that -44/3*u - 92/3 + 1/3*u**2 = 0.
-2, 46
Suppose -r + 5*n + 25 = 0, -3*r - 10 = 4*n - 2*n. Let g = 127/396 + -5/36. Let g - 2/11*l**2 + r*l = 0. Calculate l.
-1, 1
Let f(n) = n**2 - n + 3. Let h be f(0). Solve -9*r**2 + 5*r**3 - 5*r**3 - 64 + 61 + 9*r + 3*r**h = 0 for r.
1
Let i(q) be the first derivative of 16 + 0*q**2 - 1/252*q**4 + 8/3*q**3 + 1/3780*q**6 + 0*q**5 + 0*q. Let s(j) be the third derivative of i(j). Factor s(z).
2*(z - 1)*(z + 1)/21
Suppose 2*y - 109 = 163. Let t = -133 + y. Suppose 3*m**4 + 2 - 11*m**4 - 3*m**t + 4*m - m**3 + 6*m**4 = 0. Calculate m.
-1, 1
Let b(o) be the third derivative of o**5/20 - 13*o**4/2 - 240*o**3 + 5795*o**2. Factor b(q).
3*(q - 60)*(q + 8)
Suppose -2/11*r**2 + 58/11*r - 200/11 = 0. What is r?
4, 25
Let b(l) be the first derivative of l**6/540 - l**5/9 - 36*l**3 - l**2/2 + 98. Let i(g) be the third derivative of b(g). Factor i(z).
2*z*(z - 20)/3
Let j be -1 + 76 - (-3)/(-4)*-4. Let m = j - 66. Factor -m*c**3 + 0*c - 19*c**2 + 4*c**2 - 3*c.
-3*c*(c + 1)*(4*c + 1)
Let c(f) be the third derivative of f**8/112 + 81*f**7/35 + 7029*f**6/40 + 9477*f**5/5 + 13689*f**4/2 + 5*f**2 - 72. Find a, given that c(a) = 0.
-78, -3, 0
Let n(c) be the second derivative of -c**3/2 - 17*c**2/2 + 9*c. Let b be n(-8). Factor -8 + 7*d - 17*d + 6*d - 3*d**2 + b*d**2.
4*(d - 2)*(d + 1)
Let t be (-6)/4*24/(-18). Let m(c) = -c**2 - 26*c - 40. Let y(r) = -5*r**2 - 132*r - 200. Let q(l) = t*y(l) - 11*m(l). Find a such that q(a) = 0.
-20, -2
Let w(h) = -7*h**3 + 101*h**2 + 58*h. Let s(l) = 6*l**3 - 102*l**2 - 68*l. Let d(r) = -5*s(r) - 4*w(r). Factor d(a).
-2*a*(a - 54)*(a + 1)
Let s(n) = -1 + 16*n + 3*n + 40 - n**2 - 11*n. Let o be s(11). Suppose -20*j**4 + 35*j**3 + 2 + 18 + o*j**4 - 11*j**4 - 40*j + 5*j**5 + 5*j**2 = 0. Calculate j.
-1, 1, 2
Let y(g) be the first derivative of -2*g**3/45 + 319*g**2/15 - 212*g/5 + 502. Determine m, given that y(m) = 0.
1, 318
Let b(d) be the third derivative of -1/8*d**4 + 57*d**2 + 0 + 0*d - 17/36*d**3 - 1/360*d**5. Solve b(m) = 0.
-17, -1
Let d(i) be the third derivative of 1/30*i**5 - 5/6*i**4 - 75*i**2 + 0*i**3 + 0*i + 0. Factor d(x).
2*x*(x - 10)
Let o(n) be the first derivative of -n**4/6 + 44*n**3/9 - 35*n**2 + 96*n + 2875. Suppose o(d) = 0. Calculate d.
3, 16
Let j = 83 - 81. Factor -9*u**2 + 11*u**2 - u**3 - u**2 + j*u + 0*u.
-u*(u - 2)*(u + 1)
Let h(d) = -68*d + 60. Let n be h(4). Let g be (-8)/(-6) + n/477. Suppose -2/9*c**5 + 4/9*c**3 - 16/9*c**2 + 8/9 - 2/9*c + g*c**4 = 0. Calculate c.
-1, 1, 4
Factor 318*t - 33708 - 3/4*t**2.
-3*(t - 212)**2/4
Suppose 2*l = -3*o - 0*l - 4047, -6746 = 5*o + 3*l. Let u = o - -1351. Suppose 0 + 0*v**3 + 2/11*v**5 - 2/11*v**4 + u*v**2 + 0*v = 0. Calculate v.
0, 1
Let s(q) be the second derivative of 3*q**5/20 + 18*q**4 + 141*q**3/2 + 105*q**2 - 2*q - 66. Factor s(p).
3*(p + 1)**2*(p + 70)
Factor -1442453*p - 4599936 - 53064*p**2 + 502477*p - 398*p**3 - 1464536*p - p**4.
-(p + 2)*(p + 132)**3
Suppose -4*q + 69 = -d + 402, 2*d + q = 657. Let x = 1001/3 - d. Factor -22*g + x*g**2 - 20/3.
2*(g - 5)*(7*g + 2)/3
Let s be ((-240)/(-80))/((-2)/(-7)). Let v(z) be the first derivative of 3/4*z**4 + s*z**2 + 22 + 5*z**3 + 9*z. Find n, given that v(n) = 0.
-3, -1
Let v(x) = 9*x**3 - 60*x**2 - 4*x + 95. Let t(n) = 4*n**3 - 32*n**2 - 2*n + 46. Let c(j) = -5*t(j) + 2*v(j). Factor c(p).
-2*(p - 20)*(p - 1)*(p + 1)
Let i(k) be the first derivative of 3*k**5/35 - 96*k**4/7 + 3694*k**3/7 + 38592*k**2/7 + 121203*k/7 - 6231. Suppose i(m) = 0. What is m?
-3, 67
Suppose 188*z - 6 = 186*z. Suppose 2*m - 3*w = 21, -42 - z = -4*m + 3*w. Suppose 27 + 12*g - 4*g**2 - 27 - m*g**3 + 4*g**4 = 0. What is g?
-1, 0, 1, 3
Let p(f) be the third derivative of 23*f**6/210 - 88*f**5/105 - 8*f**4/21 + 3633*f**2. Factor p(u).
4*u*(u - 4)*(23*u + 4)/7
Suppose -5*r + 871 = -2*j - 747, 4*j = 3*r - 968. Suppose -r = -c - 3*c. Factor -2*s**3 + 4*s - 8*s**2 + 89 - c - 2*s**3.
-4*(s - 1)*(s + 1)*(s + 2)
Let h be -8 - ((-273)/(-4) - -5). Let r = h - -82. Factor 0*g**3 + 0*g + r*g**4 - 3/4*g**2 + 0.
3*g**2*(g - 1)*(g + 1)/4
Suppose 62*b**2 + 26*b**3 - 26*b - 17 - b**4 - 7*b**4 + 6*b**4 + 46 - 89 = 0. Calculate b.
-2, -1, 1, 15
Suppose 0 = -3*f - 5*p + 521, 3*f + 4*p - 176 = 2*f. Find o such that -768 - 4812*o**2 - 323*o**4 + 27*o**5 + 3264*o - f*o**4 + 683*o**3 + 2101*o**3 = 0.
2/3, 1, 8
Suppose 7*f - 22 = -1. Let p(l) be the third derivative of 12*l**2 + 1/20*l**5 + 0*l**f + 0 - 1/8*l**4 + 0*l. Factor p(a).
3*a*(a - 1)
Let x(m) be the first derivative of 2*m**3/3 + 439*m**2 - 880*m - 1147. Factor x(q).
2*(q - 1)*(q + 440)
Let g(p) be the second d