t(d). Factor a(c).
3*(c + 148)**2
Let j(o) = -1000*o - 15998. Let m be j(-16). Determine t, given that 2/7*t**3 + 0*t + 0*t**m - 2/7*t**4 + 0 = 0.
0, 1
Let i(w) be the third derivative of 25/3*w**3 + 9/4*w**5 - 145/24*w**4 - 7/24*w**6 + 0*w - 1/42*w**7 - 69*w**2 + 0. Suppose i(q) = 0. Calculate q.
-10, 1
Let w(q) be the first derivative of -2*q**5/25 - 27*q**4/10 - 118*q**3/5 - 277*q**2/5 - 252*q/5 - 2586. What is j in w(j) = 0?
-18, -7, -1
Let y(o) be the third derivative of 1/15*o**6 - 25/9*o**4 + 125/3*o**3 - 75*o**2 - 1/315*o**7 + 1 + 0*o - 1/3*o**5. Factor y(g).
-2*(g - 5)**3*(g + 3)/3
Let f = 141 + -103. Let q be f/44 + -1 + (-34)/(-68). Factor 0*y**2 - 4/11*y**3 + q*y - 2/11 + 2/11*y**4.
2*(y - 1)**3*(y + 1)/11
Let c(h) be the first derivative of -2*h**3/21 + 1424*h**2/7 - 1013888*h/7 + 1380. Factor c(u).
-2*(u - 712)**2/7
Let a(z) = -z**2 - 5*z - 1. Let t(v) = -2*v**2 + 661*v + 114241. Let r(h) = -6*a(h) + 2*t(h). Factor r(i).
2*(i + 338)**2
Let 450/7 + 8/7*m**4 - 1860/7*m - 248/7*m**3 + 2042/7*m**2 = 0. Calculate m.
1/2, 15
Let x(j) be the first derivative of -j**7/315 + j**6/180 + j**5/45 - j**2 + 22. Let f(s) be the second derivative of x(s). Solve f(a) = 0.
-1, 0, 2
Let m(b) be the second derivative of b**5/5 + 71*b**4/3 + 1120*b**3 + 26496*b**2 - 6*b + 206. Find o such that m(o) = 0.
-24, -23
Let y = -2354 - -2359. Let m(l) be the third derivative of -1/315*l**7 + 1/45*l**5 + 0*l + y*l**2 + 0*l**4 + 0*l**6 + 0 - 1/9*l**3. Factor m(d).
-2*(d - 1)**2*(d + 1)**2/3
Let z(v) be the second derivative of 5/6*v**4 + 146*v - 8*v**2 - 2/3*v**3 + 0 - 1/10*v**5. Let z(j) = 0. What is j?
-1, 2, 4
Let i be 5/(-1)*2/(-5). Let n be (-34)/170*5*-10. Factor -5*r**5 - 10*r**4 - i*r**3 - 13*r**3 + n*r**3.
-5*r**3*(r + 1)**2
Let b(y) be the third derivative of y**5/180 + 7*y**4/12 - 15*y**3/2 + 190*y**2. Determine o, given that b(o) = 0.
-45, 3
Let m(l) be the second derivative of -l**4/15 + 1108*l**3/15 - 153458*l**2/5 - 1188*l. Determine b, given that m(b) = 0.
277
Suppose -5*b - 1248 = -18*b. Let c be -8*8/b*(2 + -5). Factor 4/3*o**3 - 4/3*o**c + 4/3 - 4/3*o.
4*(o - 1)**2*(o + 1)/3
Let v(j) be the second derivative of j**6/6 + 19*j**5/10 + j**4/3 - 124*j**3/3 + 48*j**2 + 277*j + 2. Let v(t) = 0. Calculate t.
-6, -4, 2/5, 2
Let y(c) be the third derivative of c**7/105 - c**6/30 - 8*c**5/15 + c**4/6 + 5*c**3 - c**2 + 314. Find l such that y(l) = 0.
-3, -1, 1, 5
Factor -203*u + 4*u**2 - 245*u + 338*u + 447*u + 1347*u.
4*u*(u + 421)
Let r = -221 + 224. Let o = 4290 - 4288. Solve 0*a - 3/4*a**r - 3*a**o + 0 = 0 for a.
-4, 0
Let o(d) be the third derivative of d**7/315 - d**6/180 - d**5/30 + 5*d**4/36 - 2*d**3/9 + 1503*d**2. Find y such that o(y) = 0.
-2, 1
Let i be 3/7 + 9/(252/100). Let j(t) be the first derivative of -1/9*t**3 - 1/12*t**i - 11 + 0*t + 1/6*t**2 + 1/15*t**5. Factor j(x).
x*(x - 1)**2*(x + 1)/3
Let u be 8/(-10) - (-51 - 7008/(-140)). Solve 195/7*x - 27/7*x**2 - 169/7 + u*x**3 = 0.
1, 13
Let x(b) = -b**3 + 97*b**2 - 89*b - 670. Let s be x(96). Let 1/4*w**3 - 9/4*w + 2*w**s + 0 = 0. What is w?
-9, 0, 1
Let f(t) = 14*t**5 + 25*t**4 + 56*t**3 + 248*t**2 + 223*t + 95. Let n(k) = -k**5 - 2*k**4 + k**3 - k**2 + k - 1. Let g(d) = 2*f(d) + 30*n(d). Factor g(v).
-2*(v - 8)*(v + 1)**3*(v + 10)
Let s(r) = r**2 + 132*r + 452. Let c(j) = 66*j + 228. Let l(b) = -5*c(b) + 3*s(b). Solve l(a) = 0 for a.
-18, -4
Let p be 1*-5 + (-627)/(-133) - (-160)/70. Let b(w) be the first derivative of -18 - 8*w**2 - p*w**4 + 28/3*w**3 - 16*w. Factor b(u).
-4*(u - 2)**2*(2*u + 1)
Let o(y) = y**3 - 6*y**2 + 12*y - 12. Let w be o(4). Determine j, given that -8*j**4 - 12*j**w + 296*j**5 - 291*j**5 = 0.
0, 4
Solve 64/3*j + 16/3 - 48*j**2 - 11*j**5 - 44/3*j**3 + 115/3*j**4 = 0.
-1, -2/11, 2/3, 2
Let d(x) = 7*x - 27. Let w be d(6). Find j such that 26 - j + w - 24*j**2 - 17 + 4*j**3 - 3*j = 0.
-1, 1, 6
Factor 1 + 131*m**2 + 47/2*m + 217/2*m**3.
(m + 1)*(7*m + 1)*(31*m + 2)/2
Factor -112/3 - 334/9*b + 2/9*b**2.
2*(b - 168)*(b + 1)/9
Let s(b) = -b**3 - 90*b**2 + 603*b + 9467. Let c(m) = -8*m**3 - 810*m**2 + 5434*m + 85202. Let j(r) = 6*c(r) - 52*s(r). Let j(u) = 0. Calculate u.
-7, 26
Let g(u) be the third derivative of u**5/12 - 5*u**4/4 - 1300*u**3/3 - 212*u**2 - u. Factor g(b).
5*(b - 26)*(b + 20)
Let b(w) be the third derivative of w**5/12 + 125*w**4/4 - 755*w**3/6 - 10*w**2 - 41*w. Let b(m) = 0. Calculate m.
-151, 1
Let w(t) be the second derivative of t**6/14 - 491*t**5/140 + 115*t**4/28 + 227*t**3/42 - 48*t**2/7 + 9484*t. Suppose w(h) = 0. Calculate h.
-3/5, 1/3, 1, 32
Let c be 130/65 - (-4)/1. Let y be ((-6)/90)/((-1)/10*c). Factor y*w + 1/9*w**2 - 2/3.
(w - 2)*(w + 3)/9
Suppose -1220*q + 1231*q = 0. Let d(z) be the second derivative of 0*z**2 + 1/14*z**7 + q*z**4 - 27*z + 0 + 0*z**6 - 3/20*z**5 + 0*z**3. Factor d(c).
3*c**3*(c - 1)*(c + 1)
Suppose -5*a + 5*r = -95, -5*a - 9179*r = -9172*r + 73. Determine j, given that 24/7*j - 74/7*j**2 - 30/7*j**4 + 2/7*j**a + 78/7*j**3 + 0 = 0.
0, 1, 12
Let x(k) be the second derivative of 0 + 1/3*k**4 - 17*k - 1/10*k**5 + k**3 + 0*k**2. Factor x(r).
-2*r*(r - 3)*(r + 1)
Let m(x) be the second derivative of -1/9*x**4 - 1/45*x**6 + x**2 - 2/15*x**5 + 4/9*x**3 - x - 36. Let m(g) = 0. Calculate g.
-3, -1, 1
Let -78*p**2 - 2/5 - 59/5*p = 0. Calculate p.
-1/10, -2/39
Let q(i) be the third derivative of 49*i**6/30 - 13776*i**5/5 - 3938*i**4 - 6752*i**3/3 + 3382*i**2. Suppose q(f) = 0. What is f?
-2/7, 844
Let f(o) be the second derivative of -o**7/56 + 13*o**6/120 - 11*o**5/40 + 3*o**4/8 - 7*o**3/24 + o**2/8 - 53*o + 3. Let f(l) = 0. What is l?
1/3, 1
Let a = 2556107/1789270 - 1/255610. Determine n, given that -2/7*n**3 - 22/7*n + 2*n**2 + a = 0.
1, 5
Let o = -15128 + 15133. Let s(i) be the second derivative of 20/7*i**3 + 0 + 6/35*i**o + i + 1/105*i**6 + 23/21*i**4 + 25/7*i**2. Factor s(q).
2*(q + 1)**2*(q + 5)**2/7
Suppose 65 = 4*g - 5*a + 92, g + 5 = a. Let -2*b**g - 8 + 2/3*b**3 - 32/3*b = 0. Calculate b.
-2, -1, 6
Let d(f) be the third derivative of -f**5/90 + 25*f**4/72 - 13*f**3/3 + 2555*f**2. Factor d(s).
-(s - 6)*(2*s - 13)/3
Let m(w) be the first derivative of 74*w**3/3 - 22*w**2 + 2440. Find i such that m(i) = 0.
0, 22/37
Let k(l) = -1725*l - 1723. Let j be k(-1). Solve -7/4*x**j - 2*x + 0 = 0.
-8/7, 0
Let 249000/7*z - 125996/7*z**2 - 124002/7 - 2/7*z**4 + 1000/7*z**3 = 0. Calculate z.
1, 249
Let b(x) be the second derivative of -x**7/1260 - 13*x**6/2880 + x**5/80 + 15*x**4/4 - 113*x. Let h(u) be the third derivative of b(u). Factor h(g).
-(g + 2)*(8*g - 3)/4
Let g(i) be the second derivative of i**4/66 - 76*i**3/33 - 237*i**2/11 + 3*i + 6. Solve g(r) = 0 for r.
-3, 79
Let h(s) be the third derivative of -s**6/160 + s**5/30 + 5*s**4/32 + s**3/6 - 35*s**2 + 5. Find j, given that h(j) = 0.
-1, -1/3, 4
Suppose 572 - 2934 = -749*m - 432*m. Factor -12 + 5*j + 1/2*j**m.
(j - 2)*(j + 12)/2
Suppose 83*n + 121*n = 22*n + 6552. Let b(q) be the first derivative of 1/5*q**3 + n + 0*q + 3/20*q**4 + 0*q**2. Factor b(d).
3*d**2*(d + 1)/5
Factor -2*i**4 + 14*i**3 - 17*i**2 + 64*i**3 + 19*i**2 - 150*i**2.
-2*i**2*(i - 37)*(i - 2)
Suppose 0 = 49*w - 41*w - 16. Suppose 0*f = 4*f - 4*t - 8, f = w*t + 2. Factor -13/3*m**f - 1/3*m**4 - 4*m - 4/3 - 2*m**3.
-(m + 1)**2*(m + 2)**2/3
Let m = -26 - -20. Let j be (-4)/8 - 15/m. Factor -49 + 45 + 26*b**2 - 6*b**j + 12*b**3 + 4*b.
4*(b + 1)**2*(3*b - 1)
Determine p so that -36*p**2 - 260/7 + 4/7*p**3 - 516/7*p = 0.
-1, 65
Let j(u) be the third derivative of -u**6/24 - 5*u**5/2 - 60*u**4 - 720*u**3 - 6*u**2 + 113*u. Factor j(d).
-5*(d + 6)*(d + 12)**2
Let m(k) = -3009*k - 294879. Let y be m(-98). Factor 81/2 - 3/4*t**4 - 21/4*t**y - 27/4*t**2 + 81/4*t.
-3*(t - 2)*(t + 3)**3/4
Let x(r) = r**3 + 5*r**2 + 3*r + 4. Let g be x(-4). Let d = 12 - g. Factor -d*t**4 - t + 14*t**4 - 3*t - 10*t**2 - t + 5*t**5.
5*t*(t - 1)*(t + 1)**3
Suppose j + 5*d = -62, -2*j - j - 5*d = 136. Let c = -19 - j. Factor -18*a**3 + c*a + 82*a + 10*a**2 + 120 + 22*a**3 - 9*a**3.
-5*(a - 6)*(a + 2)**2
Let -1/3*q**3 + 5*q**2 - 23/3*q + 10/3 - 1/3*q**4 = 0. What is q?
-5, 1, 2
Let z be 55/180 - 38/171. Let i(r) be the first derivative of z*r**3 - 10 - 1/4*r + 0*r**2. Factor i(s).
(s - 1)*(s + 1)/4
Let s(a) be the second derivative of 4*a