*6/15 + 77*j**5/50 - 61*j**4/30 - 152*j**3/3 + 220*j**2 + 4442*j. Suppose d(g) = 0. What is g?
-5, 2, 11
Let u(x) be the second derivative of -4/25*x**5 - 55 - 1/15*x**6 + 0*x**3 - 2/15*x**4 + 0*x**2 - 1/105*x**7 - x. Factor u(j).
-2*j**2*(j + 1)*(j + 2)**2/5
Suppose 2*i - 98 = -3*g - 2*g, 27 = i - 3*g. What is m in -48*m**2 - 40 - 82*m + 16*m - i*m - 4*m**3 + 21*m = 0?
-10, -1
Suppose 5*v - 141 = -126. Suppose -v*c**4 + 3*c**3 - 13*c + 2*c**2 - 6 - 14*c + 24*c + 7*c**2 = 0. Calculate c.
-1, 1, 2
Suppose 4588*i - 4592*i + 42 = 5*n, 2*n - 24 = -4*i. Suppose 2/9*p**i + 8/3 + 32/9*p + 14/9*p**2 = 0. Calculate p.
-3, -2
Let j be 7 + (3 - (531/54 - 0)). Determine k so that 4/3*k - j*k**2 + 0 = 0.
0, 8
Let y(k) be the third derivative of k**8/1008 - k**7/210 - k**6/60 + 7*k**5/45 - k**4/3 + 1806*k**2. Suppose y(i) = 0. Calculate i.
-3, 0, 2
Let a(z) be the third derivative of 235*z**2 - 1/24*z**4 + 1/240*z**6 - 1/120*z**5 + 0*z + 0 + 0*z**3. Factor a(h).
h*(h - 2)*(h + 1)/2
Let 5177*v - 5*v**2 - 3232080 + 1587*v + 1358*v - 82*v = 0. Calculate v.
804
Let l(a) = -178*a + 702. Let k(i) = 55*i - 234. Let x(m) = -7*k(m) - 2*l(m). Let c be x(8). Determine n so that 2 - 2*n**c + 2/3*n - 2/3*n**3 = 0.
-3, -1, 1
Factor -992/7*n - 144*n**2 - 264/7*n**3 + 0 - 4/7*n**4.
-4*n*(n + 2)**2*(n + 62)/7
Let a = 2/31175 - -62332/280575. Let p(q) be the first derivative of 1/15*q**5 + 5/6*q**2 + a*q**3 - 1/2*q**4 - q + 1/18*q**6 - 19. Factor p(f).
(f - 1)**3*(f + 1)*(f + 3)/3
Let y = -3944 - -15777/4. Let w(i) be the second derivative of -3/2*i**3 + 0 + y*i**4 + 3*i**2 + 21*i. Factor w(r).
3*(r - 2)*(r - 1)
Let m(o) be the third derivative of o**5/60 - 5*o**4/12 - 208*o**3/3 + 9*o**2 + 12*o - 4. Suppose m(t) = 0. Calculate t.
-16, 26
Let d(w) be the second derivative of w**6/160 - 3*w**5/16 - 54*w**2 - 36*w. Let s(u) be the first derivative of d(u). Determine v, given that s(v) = 0.
0, 15
Solve 3038/13*j - 2520/13*j**2 - 128/13*j**4 - 1372/13 + 928/13*j**3 = 0 for j.
7/4, 2
Suppose l - 60 = 4*y, 136*l - 139*l + 11 = y. Factor -22/5*r**2 + l*r - 24/5 + 4/5*r**3.
2*(r - 2)**2*(2*r - 3)/5
Let v = -132579 - -132583. Factor -2/13*i**v - 4/13 - 18/13*i**2 + 10/13*i**3 + 14/13*i.
-2*(i - 2)*(i - 1)**3/13
Let t(h) be the first derivative of -h**7/105 - h**6/40 + h**4/24 + 21*h**2 + 84. Let c(j) be the second derivative of t(j). Factor c(b).
-b*(b + 1)**2*(2*b - 1)
Let r(z) = -2*z**4 + z**3 - z**2 + 4*z + 1. Let u(j) = 12*j**4 - 5*j**3 + 37*j**2 + 18*j + 13. Let f(p) = -14*r(p) - 2*u(p). Factor f(h).
4*(h - 5)*(h + 1)**2*(h + 2)
Let t(w) be the third derivative of -1/180*w**6 - 1/840*w**7 + 1/36*w**4 + 1/120*w**5 - 2*w - 1/24*w**3 + 36*w**2 + 0. Let t(x) = 0. Calculate x.
-3, -1, 1/3, 1
Let o be 6/(4/2 + 0). Let a be (-18)/(-12)*112/42. Suppose 127*l**o - l**a + 4*l**2 - 2*l**4 - 129*l**3 + 2*l**5 - 1 = 0. Calculate l.
-1, -1/2, 1
Determine d so that -4*d**2 + 1658*d + 213 + 339 - 2206*d = 0.
-138, 1
Let i be (-31)/3*(-6)/4 + -25320 + 25309. What is w in -i*w**3 - 12 - 22*w - 1/2*w**4 - 15*w**2 = 0?
-3, -2
Let u(h) be the first derivative of -1/12*h**6 - 3/16*h**4 + 0*h**2 + 0*h + 265 - 9/40*h**5 - 1/24*h**3. Factor u(y).
-y**2*(y + 1)**2*(4*y + 1)/8
What is y in 181*y**2 + 158*y**2 + 176*y**2 - 480*y**2 + 22200 - 77710*y = 0?
2/7, 2220
Let u(s) be the third derivative of 0*s**3 + 2*s**2 + 85 - 31/36*s**4 + 1/90*s**5 + 0*s. Determine t so that u(t) = 0.
0, 31
Let n be (15*1/(-3) - -5) + 3. Let v(a) be the third derivative of 0*a - a**2 - 1/270*a**5 + 0 + 0*a**n - 1/54*a**4. Determine c, given that v(c) = 0.
-2, 0
Suppose 274*f - 43 = -5*a + 277*f, -2*f = -4*a + 30. Factor 0 - 1/4*t**a + 3/2*t.
-t*(t - 6)/4
Let o(x) be the third derivative of x**8/1008 - x**7/105 - x**6/5 - 3*x**5/10 + 63*x**4/8 + 54*x**3 + 2313*x**2. Determine g, given that o(g) = 0.
-3, 3, 12
Let p = 2452/19 + -12032/95. Let v(q) be the first derivative of 4*q**2 + 6/5*q**4 + 16/5*q**3 + 4/25*q**5 - 34 + p*q. Let v(f) = 0. What is f?
-3, -1
Let i = -2816 + 2821. Let v(m) be the third derivative of -1/21*m**7 - 3/20*m**6 - 1/168*m**8 + 23*m**2 + 0*m + 0*m**3 - 7/30*m**i - 1/6*m**4 + 0. Factor v(z).
-2*z*(z + 1)**3*(z + 2)
Let v(k) be the first derivative of k**7/21 - 7*k**6/15 + 8*k**5/5 - 2*k**4 - 73*k - 34. Let m(l) be the first derivative of v(l). Find q, given that m(q) = 0.
0, 2, 3
Let i be 172/1634 - (-8280)/38. Solve -223*h**4 + 100*h + 5*h**5 + 5*h**2 + i*h**4 - 18 - 45*h**3 + 78 = 0.
-2, -1, 2, 3
Let g be (-234)/168*(18096/(-522))/((-1)/(-2)). Factor -g - 4/7*q**2 + 104/7*q.
-4*(q - 13)**2/7
Let q(r) be the second derivative of -r**7/840 + r**6/80 - r**4/6 + 2*r**3 - 69*r. Let f(x) be the third derivative of q(x). Factor f(o).
-3*o*(o - 3)
Let u = 69 + -94. Let w = u - -28. Factor 7*q**5 + q**2 - 6*q**5 + 4*q**4 - q**w - 5*q**4.
q**2*(q - 1)**2*(q + 1)
Let a be -2*(-4 - -2) - 1. Suppose -2*b + 11 = 3*y, -4*y + 9 = -3. Let h(u) = u. Let o(w) = w**2 - 7*w + 4. Let v(x) = a*h(x) + b*o(x). Factor v(p).
(p - 2)**2
Let z be 1/((-3)/(-17)) + 1/3. Let a(k) = k**3 - 7*k**2 + 7*k - 4. Let d be a(z). Solve 167 - 2*r**4 + 6*r**d - 167 - 4*r = 0.
-2, 0, 1
Let r(y) be the third derivative of -y**6/252 + 2*y**5/105 + y**4/21 - 29*y**3/6 - 45*y**2. Let d(c) be the first derivative of r(c). Factor d(o).
-2*(o - 2)*(5*o + 2)/7
Let p(f) be the first derivative of f**5/15 - 20*f**4 + 14158*f**3/9 + 4840*f**2 + 14641*f/3 - 724. Solve p(a) = 0 for a.
-1, 121
Let a = 774871/1678859 + -1/129143. Factor a*f**2 + 0 + 20/13*f - 2/13*f**3.
-2*f*(f - 5)*(f + 2)/13
Let u(z) be the first derivative of 208*z + 4/3*z**3 - 41 - 56*z**2. Suppose u(t) = 0. What is t?
2, 26
Suppose -121*r + 126 + 375 = 46*r. Factor -2/9*m**r + 12 - 10*m + 8/3*m**2.
-2*(m - 6)*(m - 3)**2/9
Let l = 20736 - 20736. Let r(v) be the first derivative of -3*v + 7/4*v**2 + 46 + 3/4*v**6 + 9*v**3 + l*v**5 - 8*v**4. Let r(t) = 0. What is t?
-3, -1/3, 1/3, 1, 2
Let o = 6649 + -6645. Let x(g) be the third derivative of 0 + 1/14*g**3 + 0*g - 1/140*g**5 - 1/168*g**o + 25*g**2 + 1/840*g**6. Suppose x(s) = 0. Calculate s.
-1, 1, 3
Let z(k) be the first derivative of -k**6/24 - k**5/2 + 4*k**4 + 173*k**3/6 + 273*k**2/8 + 7336. Determine g so that z(g) = 0.
-13, -3, -1, 0, 7
Let u be 5/(-2)*11/44*8. Let w be 264/(-42) - u - (-3 + 0). Let 9/7*g + w - 3/7*g**2 = 0. Calculate g.
-1, 4
Let f = -1826 - -109561/60. Let v(k) be the third derivative of -1/600*k**6 + 0*k - 1/15*k**4 - 2/15*k**3 - 18*k**2 - f*k**5 + 0. Suppose v(j) = 0. Calculate j.
-2, -1
Let k(y) = -45*y - 447. Let b be k(-10). Suppose -b*m + 8 = x, 9*m - 11*m - x = -4. Solve 0 - 1/2*i**m - 1/4*i + 1/2*i**2 + 1/4*i**5 + 0*i**3 = 0 for i.
-1, 0, 1
Factor -78 - 25*j + 14 - 108*j**2 - 77*j - 70*j.
-4*(j + 1)*(27*j + 16)
Let r(f) be the first derivative of f**5/4 - 5*f**4/12 + 157*f - 34. Let t(w) be the first derivative of r(w). Suppose t(g) = 0. Calculate g.
0, 1
Let f be ((-209)/(-21) + 70*(-19)/(-1862))*2. Factor -16/3*m**3 - 2/3*m**4 - f*m + 20*m**2 + 22/3.
-2*(m - 1)**3*(m + 11)/3
Let g(w) be the first derivative of 5832*w + 2/3*w**3 + 104 + 108*w**2. Factor g(d).
2*(d + 54)**2
Factor 1/3*h**2 - 17*h - 406/3.
(h - 58)*(h + 7)/3
Let d(p) = -21*p - 123. Let n be d(-6). Let z(v) = -3*v**2 - 240*v - 2882. Let g(f) = 2*f**2 + 240*f + 2883. Let r(i) = n*z(i) + 2*g(i). Factor r(m).
-5*(m + 24)**2
Let l(i) be the third derivative of 21*i**2 - 1/270*i**5 + 0*i + 17/108*i**4 + 0 + 2/3*i**3. Factor l(d).
-2*(d - 18)*(d + 1)/9
Let l(q) be the third derivative of -1/180*q**6 + 0 - 2/315*q**7 + 0*q**4 + 0*q**3 + 1/45*q**5 + 33*q**2 + 0*q + 1/504*q**8. Suppose l(c) = 0. Calculate c.
-1, 0, 1, 2
Let c be -3 - (-4 + 2) - -5. Let m(r) = 2*r**3 - 5*r**2 + r + 6. Let d be m(c). Factor 1 + 15*z - 11 - d*z**2 + 68*z**2.
5*(z + 2)*(2*z - 1)
Suppose -4*g + 3*g = 2, -t + g + 16 = 0. Let m be (t + -8)*5 - 6. Factor 36/5 + 27/5*k**3 + m*k + 117/5*k**2.
3*(k + 3)*(3*k + 2)**2/5
Factor 23*p**2 - p**4 - 262*p**3 + 27*p - 34 - 86*p**2 + 142 + 279*p**3.
-(p - 12)*(p - 3)**2*(p + 1)
Let o(b) be the third derivative of -1/672*b**8 - 23/40*b**6 + 0*b**3 - 7/2*b**4 + 13/6*b**5 + 7*b**2 + 9/140*b**7 + 0*b - 5. Determine a so that o(a) = 0.
0, 2, 21
Let d = -248 + 254. Let r(f) = 14*f**3 + 286*f**2 - 36*f - 330. Let c(q) = 2*q**3 + 41*q**2 - 5*q 