
-3, 6
Let u(j) be the third derivative of -9*j**2 + 0*j**3 + 1/945*j**7 + 0*j**4 + 1/90*j**5 - 1/135*j**6 + 0*j + 2. Find m such that u(m) = 0.
0, 1, 3
Factor -2/3*f**3 - 5376 + 800*f - 64/3*f**2.
-2*(f - 12)**2*(f + 56)/3
Suppose -47*y + 51*y + 232 = 60*v, -y - 14 = -4*v. Factor 8/7*j**3 + 32/7*j**y - 8/7*j**4 + 8/7 + 4*j - 4/7*j**5.
-4*(j - 2)*(j + 1)**4/7
Solve 26*t**2 - 30*t**3 - 300*t**2 - 32 - 212*t - 92*t + 28*t = 0.
-8, -1, -2/15
Let s(j) be the first derivative of -4/5*j**3 + 12/5*j**2 - 3 + 1/10*j**4 - 16/5*j. Suppose s(o) = 0. Calculate o.
2
Let g = -10051 - -160885/16. Let t(m) be the first derivative of 3/4*m**2 + 3/4*m**3 + 0*m - 9/5*m**5 - g*m**4 + 18. Find r such that t(r) = 0.
-2, -1/4, 0, 1/3
Find d such that -2/5*d**2 - 1524258/5 + 3492/5*d = 0.
873
Factor 15/2 - 2*d**3 - 1/2*d**4 + 14*d + 5*d**2.
-(d - 3)*(d + 1)**2*(d + 5)/2
Let l = -51 + 52. Let o = 1 + l. What is q in o*q**2 + 12*q**4 + 9*q**4 + 9*q**5 - 4 + 5 + 10*q**3 - 3*q - 8*q**2 = 0?
-1, 1/3
Let m(z) = z**2 - 10*z + 6. Let a be m(0). Solve 6*d + 4*d**3 - a*d**3 + 45 - 41 = 0.
-1, 2
Let n be (-2190)/(-511) - 6/21. Let u(a) be the second derivative of 0 - 5*a - 1/3*a**4 + 2/3*a**3 + n*a**2. Suppose u(v) = 0. Calculate v.
-1, 2
Let u(z) be the first derivative of z**4/12 + 2*z**3/9 + z**2/6 - 1394. Factor u(m).
m*(m + 1)**2/3
Let w(t) = 6*t - 13. Let g be w(5). Suppose -2*j + 3*j = 8. Suppose -33*l**2 - g*l**4 - 52*l - j + 90*l**4 - 59*l**2 - 12*l**3 - 37*l**4 = 0. What is l?
-1, -1/3, 2
Let w(g) be the first derivative of g**4/2 + 32*g**3/11 + 37*g**2/11 - 3008. Let w(k) = 0. What is k?
-37/11, -1, 0
Factor 2/3*d**2 + 3223734 - 2932*d.
2*(d - 2199)**2/3
Let x = 148247/15 + -49344/5. Solve 7*b + 8*b**3 + 2/3 + x*b**2 = 0.
-1, -2/3, -1/8
Factor 1/5*t**2 - 156/5 + 76/5*t.
(t - 2)*(t + 78)/5
Suppose -5*q = 4*s - 73, -51*s + 53*s = 3*q - 35. Factor -63/2 - 15*i - 3/2*i**s.
-3*(i + 3)*(i + 7)/2
Let j = -22481 + 22483. Factor -1/2*b**j + 3/2*b - 1.
-(b - 2)*(b - 1)/2
Let j(x) be the third derivative of 1 - 1/110*x**5 + 5/44*x**4 - 4/11*x**3 - 19*x**2 + 0*x. Factor j(i).
-6*(i - 4)*(i - 1)/11
Factor -394/5*t**2 + 388/5*t + 2/5*t**3 + 784/5.
2*(t - 196)*(t - 2)*(t + 1)/5
Let b(p) be the third derivative of -p**6/540 - p**5/15 + 43*p**4/108 + 20*p**3/9 + p**2 + 666. Let b(z) = 0. Calculate z.
-20, -1, 3
Suppose 2*w + 0*w + i = 5, 0 = -2*w - 5*i - 7. Let s(a) be the first derivative of 0*a**2 + 3*a**3 + 0*a - 3/4*a**4 - w. Factor s(j).
-3*j**2*(j - 3)
Let y = -309256 - -309258. Suppose -1/3*o + 8/3 - 7/3*o**y = 0. What is o?
-8/7, 1
Let a be 16/80 + 96/20. Suppose a*l**2 - 24*l + 34*l + 130*l + 7*l**2 + 88 = 0. What is l?
-11, -2/3
Let f = 41 - -223. Let y be (-1)/(-4) + (8 - f/32). Factor y + 2/9*g + 2/3*g**2 + 2/9*g**4 + 2/3*g**3.
2*g*(g + 1)**3/9
Suppose 4/7*g**2 - 1520/7*g + 144400/7 = 0. Calculate g.
190
Suppose -4*x + 40500 = 11*x. Factor -458*b - 2422*b - 543*b**2 - 3*b**3 + 360*b**2 - x.
-3*(b + 1)*(b + 30)**2
Suppose -5*i - 2*q + 458 = 0, 39*q - 376 = -4*i + 35*q. Solve 24*z + i*z**4 + 78*z**4 + 166*z**2 - 72 - 266*z**4 - 28*z**3 = 0 for z.
-1, 6/7
Let z(p) be the third derivative of -13*p**2 + 1/30*p**6 + 7/2*p**4 + 0 + 0*p + 20/3*p**3 + 4/5*p**5. Suppose z(r) = 0. What is r?
-10, -1
Let i(y) be the third derivative of -y**6/80 + 49*y**5/120 - 61*y**4/24 - 26*y**3/3 - 15*y**2 - 47. Solve i(n) = 0 for n.
-2/3, 4, 13
Let a = -79 + 82. Suppose -22 + 15*i - 5*i**2 + 7 + 10*i - 5*i**a = 0. What is i?
-3, 1
Let r = 37160 + -37157. Let w = -5 - -7. Solve -1/4*s**r - 1/4 + 1/4*s**w + 1/4*s = 0.
-1, 1
Find b such that 0 + 11/2*b**2 + 3/4*b**4 + 35/4*b**3 + 0*b = 0.
-11, -2/3, 0
Factor 60/7*l - 88 + 4/7*l**2.
4*(l - 7)*(l + 22)/7
Let h(u) = -u**3 + u**2 + 95*u - 39. Let c be h(10). Let d be (60/(-48)*-3)/(c/8). Determine s so that -2*s**3 - 18/11*s - 6/11*s**4 - d*s**2 - 4/11 = 0.
-1, -2/3
Let b(q) = 85*q**3 - 657*q**2 - 5892*q - 9918. Let i(z) = 12*z**3 - 94*z**2 - 842*z - 1416. Let d(t) = 4*b(t) - 30*i(t). Determine p, given that d(p) = 0.
-3, 78/5
Let q be 8/5 - 28/(-70). Let j be ((-70)/126)/((-159)/72 + q). Factor -2*o + 4/9*o**3 + 8/9*o**4 - 2/9*o**5 + 0 - j*o**2.
-2*o*(o - 3)**2*(o + 1)**2/9
Let w = 67 + -51. Let o be w*-1*(-10)/8. Factor -8*d**2 - 3 - 9*d + 6 - 6*d + o*d**2.
3*(d - 1)*(4*d - 1)
Factor t**2 - 2*t**2 + 2*t**2 - 380880 - 2760*t - 8*t**2 + 2*t**2.
-5*(t + 276)**2
Let t(d) = 4*d**2 + 464*d - 4816. Let o(n) = -94*n - 26*n**2 + 1605 + 25*n**2 - 61*n. Let g(a) = -16*o(a) - 5*t(a). Find p such that g(p) = 0.
20
Let v(j) be the second derivative of -3*j**5/140 - 2283*j**4/28 - 1737363*j**3/14 - 1322133243*j**2/14 + 26*j + 34. Factor v(i).
-3*(i + 761)**3/7
Let d(y) be the third derivative of 35/6*y**4 - 104/15*y**5 + 30 - 1/84*y**8 + 0*y - 11/5*y**6 + 100*y**3 - 4/15*y**7 - 3*y**2. Suppose d(h) = 0. What is h?
-5, -3, -2, 1
Suppose -4*m + 7 = -z, 0*m + 5 = m. Suppose -2*a + 24 = -t, -5*a = t - 47 - z. Solve -5 + a*y + 12 + 5 - 21*y**2 + 6*y**3 = 0.
-1/2, 2
Let u(x) be the second derivative of -4*x**6/195 + 63*x**5/130 + 46*x**4/39 - 3*x**3 - 34*x**2/13 + 186*x + 1. Find j, given that u(j) = 0.
-2, -1/4, 1, 17
What is l in -8 - 4761*l**4 + 2539*l**2 - 2321*l**2 + 4393*l**2 + 116 + 1548*l - 7590*l**3 = 0?
-2, -3/23, 2/3
Let g(z) = 3*z**3 - z**2 + 4*z + 2. Let l be g(2). Suppose 27*k = 17*k + l. Find c such that -80/13*c + 154/13*c**2 + 8/13 + 242/13*c**k = 0.
-1, 2/11
Let y be 0 + 5 - (-2 + (-1 - -4)). Suppose j - 5*l = -15, -2*j = -4*l + y + 8. Find p such that 4/5*p**3 - 2/5*p**5 + j*p**4 + 0*p**2 - 2/5*p + 0 = 0.
-1, 0, 1
Let q be (456/42)/19*182/4. Suppose -3*x - j = -12, -4*x - 10 = -3*j - q. Factor -3/4*f**x - 2*f**3 + 3/2*f + 0 + 5/4*f**2.
-f*(f - 1)*(f + 3)*(3*f + 2)/4
Let j(s) be the third derivative of -133*s**6/32 + 8651*s**5/240 - 1343*s**4/48 + s**3/3 + 434*s**2 - 2*s - 2. Suppose j(x) = 0. What is x?
2/665, 1/3, 4
Suppose -13*n + 353 = 93. Factor 48*a**2 - 177*a**2 + 4*a**3 + 97*a**2 + n*a + 200.
4*(a - 5)**2*(a + 2)
Let d(r) be the third derivative of -r**8/56 + 31*r**7/105 - 37*r**6/60 + 3*r**5/10 + 21*r**2 + 5*r. Let d(f) = 0. What is f?
0, 1/3, 1, 9
Let v(b) = -b**2 + 9*b - 8. Let y be v(7). Determine w so that 3*w**3 + 99*w**4 - 3*w**5 - y*w**2 + 98*w**4 - 191*w**4 = 0.
-1, 0, 1, 2
Let z be (-682)/((-5)/(-18) - 76/(-342)). Let v = 1364 + z. Factor 0*t + 0 - 28/13*t**5 + v*t**2 + 6/13*t**4 + 4/13*t**3.
-2*t**3*(2*t - 1)*(7*t + 2)/13
Suppose -10*w**3 - 590*w**2 + 38 + 8656*w - 8236*w + 156*w**2 - 14*w**3 = 0. Calculate w.
-19, -1/12, 1
Suppose -p = -m + p - 4, -4*p + 36 = 5*m. Let n be ((-72)/(-30))/(27/240*1). Factor 16*r**2 + 32/3 - n*r - 16/3*r**3 + 2/3*r**m.
2*(r - 2)**4/3
Factor 1688/11 + 430/11*z**2 + 1696/11*z + 2/11*z**3.
2*(z + 2)**2*(z + 211)/11
Suppose 19 = 2*u - u - 2*b, 11 = u - 4*b. Let q be 116/36 + (-6)/u. Factor 3*w**5 + w - 16 - w**3 + 14 + 0*w**3 - 4*w**4 - 3*w**q + 6*w**2.
(w - 1)**3*(w + 1)*(3*w + 2)
Let i be 48/(-3 - 5) + 1. Let l(z) = -z**3 - 13*z**2 - 40*z + 3. Let o be l(i). Factor -10/7*j**2 - 2/7*j**o - 8/7 - 16/7*j.
-2*(j + 1)*(j + 2)**2/7
Let m be (-384)/336*14/36*(42 + -45). Determine f, given that m - 2/3*f**2 - 2/3*f = 0.
-2, 1
Let k be (-8)/(-18) - 388/(-18). Let y be (-4)/k - (-805)/2310. Determine g, given that -y*g + 0 - 1/6*g**2 = 0.
-1, 0
Let d(i) be the third derivative of i**5/480 + 17*i**4/2 + 13872*i**3 - 962*i**2. Suppose d(g) = 0. What is g?
-816
Let l = -24 - -928. Let p = l + -6320/7. Factor -4/7 + 2/7*z**3 - p*z**2 + 10/7*z.
2*(z - 2)*(z - 1)**2/7
Suppose -3*o + 4*o - 38 = -u, o + 94 = 3*u. Let q be (-3)/u + ((-39186)/297)/(-14). Determine f so that 4/3*f**2 - 32/3*f + q = 0.
1, 7
Let c(p) be the third derivative of -13 + 0*p + p**2 - 1/100*p**5 + 1/5*p**4 + 0*p**3. Factor c(v).
-3*v*(v - 8)/5
Let z(p) be the first derivative of 3*p**3 - 38 + 3/4*p**4 - 15/2*p**2 - 3/5*p**5 + 6*p. Find u such that z(u) = 0.
-2, 1
Let j = -135 - -130. Let m be (3/(-2))/(90/(-300)) + j. What is s in 0 + 2/7*s**3 + m*s + 2/7*s**2 = 0?
-1, 0
Factor 1/4*a**3 + 27/2 + 25/4*a - 7*a**2.
(a - 27)*(a - 2)*(a + 1)/4
Let t be (45/(-12))/(-5)*((-330)/99 + 4). Suppose 3*b - 3*i - 19 = -2*b, -5*b = -4*i - 22. Factor 5/2*u**3 + 1 + t*u - 4*u**b.
(u - 1)**2*(5*u + 2)/2
Let j(c) be the first derivative of -c**4/4 - 38*c**3/3 - 23*