 = 0. What is g?
-3, 2
Let c = 134 - 100. Factor -10 - 106*j + 7*j**3 - c + 3*j**2 - j**3 - 59*j**2.
2*(j - 11)*(j + 1)*(3*j + 2)
Let x(f) be the second derivative of -f**4/66 + 8*f**3/33 + 180*f**2/11 - 1143*f. Factor x(y).
-2*(y - 18)*(y + 10)/11
Suppose -1728234*s**2 + 3394*s**3 - 2050999*s + 1163*s**3 + 0*s**4 + 309079*s + 3465600 - 3*s**4 = 0. Calculate s.
-2, 1, 760
Let c(w) = -4*w**3 - 17*w**2 + 76*w + 7. Let s be c(-15). Let k = -128074/15 + s. Find r such that 2744/15*r**3 + 2/15 + k*r + 196/5*r**2 + 4802/15*r**4 = 0.
-1/7
Factor 76*a + 5054 + 2/7*a**2.
2*(a + 133)**2/7
Let r(l) = 6*l - 8. Let v(m) = m**2 + 5. Let n(w) = 6*r(w) + 2*v(w). Determine u so that n(u) = 0.
-19, 1
Let x(i) = -i**4 + 1568*i**3 - 123249*i**2 + 2. Let u(a) = 3*a**4 - 7839*a**3 + 616247*a**2 - 11. Let t(d) = -2*u(d) - 11*x(d). Factor t(l).
5*l**2*(l - 157)**2
Let f be ((-25)/10)/((11 - 9)/(-2)). Let b(o) be the second derivative of 5/4*o**4 + 9*o - f*o**2 + 0 + 1/3*o**6 - 5/6*o**3 + 5/4*o**5. Solve b(p) = 0 for p.
-1, 1/2
Let g(j) be the second derivative of -j**5/390 + j**4/39 - 4*j**3/39 + 18*j**2 - 7*j - 3. Let h(q) be the first derivative of g(q). Factor h(m).
-2*(m - 2)**2/13
Let o(h) be the second derivative of -h**4/54 + 868*h**3/27 - 188356*h**2/9 + 124*h. Factor o(t).
-2*(t - 434)**2/9
Let p = 493 + -343. Factor -r**2 - p*r + r**2 - 5*r**2 + 0*r**2.
-5*r*(r + 30)
Let o(u) = u**5 + 7*u**4 - 6*u**3 + 2*u**2 + 2*u. Let t(w) = -w**5 - 4*w**4 + 4*w**3 - 2*w**2 - w. Let l(k) = -2*o(k) - 3*t(k). Factor l(m).
m*(m - 1)**3*(m + 1)
Let z be -4 - -9*(-4)/(-6). Factor -2*t**z + 6143*t - 6143*t.
-2*t**2
Let g(o) be the first derivative of 3*o**5/35 - 6*o**4/7 + 20*o**3/7 - 24*o**2/7 - 285. Solve g(z) = 0 for z.
0, 2, 4
Let x(h) be the first derivative of -5*h**6/2 + 27*h**5/4 - 6*h**4 + 2*h**3 + 62*h + 270. Let t(a) be the first derivative of x(a). Factor t(o).
-3*o*(o - 1)*(5*o - 2)**2
Let d(q) = -q**3 - q. Let b(v) = 9*v**3 - 46*v**2 + 53*v - 20. Let w(m) = b(m) - 6*d(m). Let s(n) = n**2 + n. Let p(r) = -4*s(r) + w(r). Factor p(o).
5*(o - 1)**2*(3*o - 4)
Let i(z) be the third derivative of z**7/1260 - 33*z**6/40 + 79*z**5/24 - 37*z**4/9 + 1968*z**2. Factor i(a).
a*(a - 592)*(a - 1)**2/6
Let d = -357344 + 2501416/7. Determine t so that 4/7*t + 0 - 18/7*t**2 + d*t**3 = 0.
0, 1/4, 2
Let b(a) be the first derivative of a**4/8 - 2*a**3/3 - 51*a**2/4 + 27*a + 3300. Suppose b(y) = 0. Calculate y.
-6, 1, 9
Let o be (-1)/(9/(-180)) - -1. Solve 8*g**2 - o*g + 21*g + 11*g**5 + 15*g**3 + 6*g**4 - 12*g**5 = 0.
-1, 0, 8
Factor 981*q**4 - 803*q**4 - 1380*q**2 - 543*q**4 + 1400*q**3 + 5*q**5.
5*q**2*(q - 69)*(q - 2)**2
Let g(h) be the third derivative of -h**6/720 - 19*h**5/360 + 11*h**4/72 + 10*h**3/9 - 2*h**2 - 70. Factor g(c).
-(c - 2)*(c + 1)*(c + 20)/6
Find j, given that -64777108/5*j + 2/5*j**5 + 0 + 1514/5*j**4 + 31620446/5*j**2 + 381018/5*j**3 = 0.
-253, 0, 2
Suppose -2*f = -4*t - 2 - 14, -t = -3*f - 1. Let p be 20/(8 - 3) + f. Let 25*u**p - 16 - 11*u**2 - 18*u**2 - 16*u = 0. Calculate u.
-2
Let k(y) = 4*y**2 - 2121*y + 9392. Let q(r) = r**2 - 537*r + 2348. Let c(s) = 4*k(s) - 18*q(s). Factor c(u).
-2*(u - 587)*(u - 4)
Let g be 1340/16 - (-2)/8. Let o = 87 - g. Suppose -117*b - b**2 + 120*b + o*b**3 + 0*b**3 + 7*b**2 = 0. Calculate b.
-1, 0
Let f(h) be the second derivative of 3*h**5 + 298*h**4/3 + 490*h**3/3 - 76*h**2 + 2*h + 324. Solve f(a) = 0.
-19, -1, 2/15
Let l(o) = -22*o**4 - 2*o**3 - o**2 + o - 1. Let b(x) = 153*x**4 - 364*x**3 - 35713*x**2 + 371*x + 35728. Let w(u) = -5*b(u) - 35*l(u). Factor w(i).
5*(i - 1)*(i + 1)*(i + 189)**2
Let f(j) be the second derivative of 83*j**4/9 - 221*j**3/12 - j**2/12 + 807*j + 5. What is s in f(s) = 0?
-1/664, 1
Let c(v) be the third derivative of v**8/1008 - v**7/210 - 5*v**6/72 + 79*v**5/180 - 50*v**3/9 - 55*v**2 - v. Determine m, given that c(m) = 0.
-5, -1, 2, 5
Let i = 187 - 467. Let c be ((-486)/35)/(60/i). What is s in -c*s - 4/5*s**4 - 36*s**2 - 216/5 - 44/5*s**3 = 0?
-3, -2
Let o(t) be the third derivative of t**8/30240 - 17*t**7/3780 + 11*t**6/360 - 13*t**5/15 - 41*t**2 - 3. Let i(p) be the third derivative of o(p). Factor i(a).
2*(a - 33)*(a - 1)/3
Let m(u) = u**2 - 25*u - 80. Let g be m(28). Factor -6*j**3 - 2*j + 121 + 3*j**3 - 123 - 3*j**3 + 6*j**2 + g*j**2.
-2*(j - 1)**2*(3*j + 1)
Let k(t) be the first derivative of 2*t**7/7 - t**6/2 - 21*t**5/20 + t**4/2 + 53*t + 14. Let m(z) be the first derivative of k(z). Let m(u) = 0. What is u?
-1, 0, 1/4, 2
Suppose 4140 - 1380 = 690*k. Solve 2/5*v**3 - 4/5 - 22/5*v**k + 8/5*v**5 - 2*v + 26/5*v**2 = 0.
-1, -1/4, 1, 2
Let c(d) be the first derivative of d**4/14 - 8*d**3/7 + 27*d**2/7 + 80*d/7 - 377. Factor c(p).
2*(p - 8)*(p - 5)*(p + 1)/7
Suppose -12*j = -4*f - 11*j + 12, -15 = -5*f - 4*j. Let n(s) be the third derivative of 32/3*s**f + 0*s + 12*s**2 + 1/15*s**5 + 0 - 4/3*s**4. Factor n(k).
4*(k - 4)**2
Let w(v) be the second derivative of 0 - 2/5*v**6 + 2/21*v**7 - 13/5*v**5 + 40*v**2 + 24*v**3 - 234*v + 7/3*v**4. What is f in w(f) = 0?
-2, -1, 2, 5
Let k(a) be the second derivative of a**7/84 + a**6/10 - 7*a**5/40 + 8912*a. Find x, given that k(x) = 0.
-7, 0, 1
What is q in 2*q**3 - 63*q**3 + 32*q**3 + 230*q + 24*q**3 - 105*q**2 = 0?
-23, 0, 2
Factor -418/3 + 2/3*i**2 + 16/3*i.
2*(i - 11)*(i + 19)/3
Let i(u) be the second derivative of u**7/1155 - u**6/1980 - u**5/165 + u**4/132 + 12*u**3 - 113*u. Let o(f) be the second derivative of i(f). Factor o(n).
2*(n - 1)*(n + 1)*(4*n - 1)/11
Let q = -185785 - -371591/2. Factor 3/4*g**3 + 0 + 39/4*g - q*g**2.
3*g*(g - 13)*(g - 1)/4
Let w(i) = -i**3 - 2*i**2 - 2*i - 7. Let z be w(-3). Suppose z*y - 3 - 5 = 0. Factor 0*x - y - 5 - 3*x**2 - 2*x - 7*x.
-3*(x + 1)*(x + 2)
Let k(n) be the first derivative of 5*n**4/4 - 320*n**3/3 + 625*n**2/2 - 310*n + 2022. Determine w, given that k(w) = 0.
1, 62
Let q(g) = g**2 - 10*g + 24. Let n be q(7). Factor -5*d**3 - 3*d**3 + 29*d**2 + 6*d**n - 25*d**2.
-2*d**2*(d - 2)
Suppose 93352*y**2 + 6994*y**4 + 17936*y + 2560 + 136*y**5 - 46496*y**3 + 14192*y - 474*y**5 = 0. What is y?
-2/13, 5, 8
Factor -7/3*p**3 - 2*p + 1/3*p**5 + 0 - 1/3*p**4 + 13/3*p**2.
p*(p - 2)*(p - 1)**2*(p + 3)/3
Let i = 3080 + -3065. Let o(g) be the second derivative of 0 + 1/18*g**4 + 0*g**2 + 1/30*g**5 - 2/9*g**3 - i*g. Factor o(l).
2*l*(l - 1)*(l + 2)/3
Let r(x) be the second derivative of -x**4/4 - 3475*x**3 - 36226875*x**2/2 + 11688*x. Factor r(t).
-3*(t + 3475)**2
Let l be (-220)/(-300) + (-4)/60. Let z(s) be the second derivative of 22*s + 0*s**2 - l*s**3 - 1/3*s**4 + 0. Determine o, given that z(o) = 0.
-1, 0
Suppose 0 = 4*y + 61 + 71. Let x = 36 + y. Factor -3*a**5 - 2*a**4 + 2*a**4 - 4*a - a**5 + 8*a**x.
-4*a*(a - 1)**2*(a + 1)**2
Let y(x) be the second derivative of -2*x**6/45 + x**5/15 + 2*x**4/3 - 1760*x. Factor y(l).
-4*l**2*(l - 3)*(l + 2)/3
Let c(q) be the second derivative of 11/18*q**4 + 0*q**2 - 26*q + 0 - 1/9*q**3. Factor c(p).
2*p*(11*p - 1)/3
Let i(z) = -z**3 - 210*z**2 - 856*z - 848. Let q(t) = 6*t**3 + 1257*t**2 + 5138*t + 5088. Let b(p) = 13*i(p) + 2*q(p). Find s, given that b(s) = 0.
-212, -2
Let n be (-24)/(-50)*60/96. Let s = n + 1/2. Suppose -6/5*l + 6/5*l**3 + 2/5*l**4 - s + 2/5*l**2 = 0. What is l?
-2, -1, 1
Let c(d) be the third derivative of 1/2016*d**8 + 67*d**2 + 0*d + 0 + 0*d**3 - 1/720*d**6 - 1/420*d**7 + 1/120*d**5 + 0*d**4. Determine t, given that c(t) = 0.
-1, 0, 1, 3
Let a(w) be the second derivative of w**4/18 + 143*w**3/3 - 430*w**2/3 + 11*w - 24. Factor a(j).
2*(j - 1)*(j + 430)/3
Suppose -10*r = -21*r - 66. Let m be 6/6 + r + 5. Suppose 0 + 0*f**2 + m*f - 2/7*f**3 - 2/7*f**4 = 0. Calculate f.
-1, 0
Let m be (2 + (-9)/3)/((-8)/32). Factor -15*k**4 + k + 33*k**3 - 12*k**2 - 4*k + 10*k**4 - 13*k**m.
-3*k*(k - 1)**2*(6*k + 1)
Solve 605284/7 + 1560/7*f**2 - 2/7*f**3 - 305754/7*f = 0.
2, 389
Let z(f) be the second derivative of -f**6/15 + 61*f**5/10 - 232*f**4 + 14080*f**3/3 - 53248*f**2 + 323*f. Factor z(x).
-2*(x - 16)**3*(x - 13)
Let j(a) be the third derivative of 1/360*a**6 + 1/72*a**4 - a + 0*a**3 - 1/90*a**5 - 26*a**2 + 0. Factor j(z).
z*(z - 1)**2/3
Let b(k) be the first derivative of k**3/12 - 49*k**2/8 - 25*k/2 + 653. Factor b(s).
(s - 50)*(s + 1)/4
Let g(m) be the second derivativ