c(j) = 0.
-1, 1
Suppose 94*j = 87*j + 14. Suppose -4*q = -t - 10, j*t + 3*q = 5*t + 3. Find s such that 4/9*s + 2/3*s**3 - 8/9*s**4 + 0 + 2*s**t = 0.
-1, -1/4, 0, 2
Suppose -13*w + q + 39 - 18 = 0, 4*w - 33 = -5*q. Determine z so that -8/3*z**4 - 128/3*z + 20*z**w + 4*z**3 + 16 = 0.
-3, 1/2, 2
Let k be -2 + ((-332)/(-72) - 10/(-180)). Factor k*z + 2/5*z**3 - 16/15 - 28/15*z**2.
2*(z - 2)**2*(3*z - 2)/15
Let c(s) be the first derivative of -2*s**3/3 + 55*s**2/2 + 670*s + 45. Let h(m) = -3*m**2 + 109*m + 1342. Let q(w) = 5*c(w) - 3*h(w). Factor q(a).
-(a + 26)**2
Let p(s) = -s**3 - 16*s**2 + 2*s + 32. Let a be 5/((-25)/(-24))*(-10)/3. Let r be p(a). Factor 4*l**2 + 9*l - 24 + r*l**2 - 13*l.
4*(l - 3)*(l + 2)
Let c(f) be the first derivative of -1/4*f**4 - 8/3*f**3 - 6*f - 1 - 13/2*f**2. Factor c(k).
-(k + 1)**2*(k + 6)
Factor 1/2*b**2 + 18481401/2 - 4299*b.
(b - 4299)**2/2
Suppose 3*a = 3*h + 210, 0 = 3*a - 2*h - 191 - 21. Let s be 674/a + -2 - 47/188. Find u such that -16/9*u**3 - 32/9 - 16/3*u**2 - 2/9*u**4 - s*u = 0.
-2
Let l(k) = 5*k**3 - 7*k**2 - 17*k + 13. Let z(w) = 6*w**3 - 10*w**2 - 16*w + 12. Let s(d) = -4*l(d) + 3*z(d). Solve s(x) = 0 for x.
-4, 1, 2
Let p be 6/(-24)*(29*-1 + 1). Suppose p*g + 52 = 9*g. Factor -g*c**2 - 24*c**2 + 51*c**2 + c.
c*(c + 1)
Let o be 91/130*(-10)/(-112). Let c(r) be the third derivative of 0 - 1/30*r**5 + 1/240*r**6 - 42*r**2 + o*r**4 + 0*r**3 + 0*r. Determine u so that c(u) = 0.
0, 1, 3
Let d(i) be the third derivative of -i**8/21 - 2*i**7/21 - i**6/30 - 1477*i**2. Factor d(r).
-4*r**3*(r + 1)*(4*r + 1)
Let z(j) = 4*j**3 - 7*j**2 + 5*j - 5. Let m = -434 - -429. Let w(x) = -5*x**3 + 8*x**2 - 6*x + 6. Let u(v) = m*w(v) - 6*z(v). Factor u(h).
h**2*(h + 2)
Let i be (-282)/24 - 1/4. Let q = -6 - i. Let 2*v**3 + 40 + q*v**3 - 40*v**3 + 350*v**2 - 220*v - 93*v**3 = 0. Calculate v.
2/5, 2
Let a(s) be the first derivative of 0*s - 18/35*s**5 + 83 - 176/21*s**3 - 4*s**2 - 75/14*s**4. Factor a(n).
-2*n*(n + 7)*(3*n + 2)**2/7
Let q be (-12)/(-270)*-18 - 208/(-60). Determine m, given that q*m - 4/3*m**5 + 6*m**4 - 22/3*m**3 + 0*m**2 + 0 = 0.
-1/2, 0, 1, 2
Let q(n) be the second derivative of -5*n**4/12 + 6990*n**3 - 43974090*n**2 + 1491*n. Let q(g) = 0. What is g?
4194
Let g(i) be the first derivative of i**7/42 + i**6/15 - i**4/6 - i**3/6 - 47*i + 22. Let o(x) be the first derivative of g(x). Factor o(s).
s*(s - 1)*(s + 1)**3
Suppose -242 = 16*t - 306. Let b(w) be the second derivative of 8/3*w**3 + 8*w**2 - 14*w + 0 + 1/3*w**t. Factor b(l).
4*(l + 2)**2
Suppose -3*c - 175 = -4*t - 197, -2*t - 4 = 2*c. Factor 8/5*p**c - 1/5*p**3 - 7/5*p + 0.
-p*(p - 7)*(p - 1)/5
Let v = -857 + 713. Let n be 8/144 - (-8)/v. Determine x, given that 6/5*x**4 + 0*x**2 + 3/5*x**3 + 0 - 9/5*x**5 + n*x = 0.
-1/3, 0, 1
Let r(y) be the third derivative of 92*y**2 + 4/5*y**3 + 0 + 0*y + 1/20*y**4 - 1/100*y**5. Factor r(f).
-3*(f - 4)*(f + 2)/5
Find x, given that 48*x**3 + 120*x - 683290*x**2 - 4*x**4 + 341770*x**2 + 341692*x**2 = 0.
-2, -1, 0, 15
Factor 19518*l**3 - 2*l**4 - 10855*l**3 - 10379*l**3.
-2*l**3*(l + 858)
Suppose 33 = -h - 10*h. Let c be 5 + -1 - (-15 + h). Let -20*u**3 + 0*u**4 + 18 + 39*u - 3*u**5 - 2*u**4 - 16*u**3 + 6*u**2 - c*u**4 = 0. What is u?
-6, -1, 1
Suppose -20 = 26*k - 27*k. Find s such that -20*s**2 - s**5 - 12*s**5 - 2*s**5 - k*s**4 - 16*s + s + 70*s**3 = 0.
-3, -1/3, 0, 1
Let c(k) be the third derivative of 15*k**2 + 1/450*k**5 + 0*k + 0 - 7/30*k**4 + 49/5*k**3. Factor c(t).
2*(t - 21)**2/15
Let d(n) be the third derivative of 0*n + 0 + 2/21*n**7 + 1/84*n**8 + 0*n**4 + 4/15*n**6 + 4/15*n**5 + 0*n**3 - 259*n**2. Suppose d(w) = 0. Calculate w.
-2, -1, 0
Let p(h) be the second derivative of -h**6/120 + h**5/5 - 7*h**4/8 - h**3/3 + 4*h**2 - 5*h - 4. Let n(q) be the second derivative of p(q). Solve n(l) = 0.
1, 7
Let i(g) = -3*g - 25. Let p be i(-9). Suppose 0 = 2*f - a - 5, -4 = -3*f + 2*f + p*a. Factor -3/2 + k - 1/6*k**f.
-(k - 3)**2/6
Let s(u) be the first derivative of u**3/3 - 27*u**2/2 + 50*u - 1603. Factor s(h).
(h - 25)*(h - 2)
Let u be ((-67)/201)/((-2)/(-396)*-329). Let m = 4/47 + u. Determine w, given that 0 + 4/7*w**3 + m*w**4 + 2/7*w**2 + 0*w = 0.
-1, 0
Let b(v) be the first derivative of v**4/4 + 26*v**3/3 + 25*v**2/2 + 4239. What is o in b(o) = 0?
-25, -1, 0
Suppose 30*y - 232 = d - 445, 5*d = -y + 8. Determine u, given that -69 + 69*u**2 - 3/2*u + 3/2*u**d = 0.
-46, -1, 1
Suppose 1/8*h**4 + 33/4 + 5/8*h**3 - 5/8*h - 67/8*h**2 = 0. Calculate h.
-11, -1, 1, 6
Let r be (-40)/(-4) - (-1 + -1). Let g be 3/r - 7772/(-16). Find y such that 4 - 490*y + g*y - y**2 - 4 = 0.
-4, 0
Let h(u) be the second derivative of -u**2/2 - 4*u - 49. Let s(d) = 5*d**4 - 20*d**3 + 25*d**2 - 10*d - 5. Let l(a) = -5*h(a) + s(a). Factor l(i).
5*i*(i - 2)*(i - 1)**2
Determine x, given that x**5 - 6*x**3 - 3*x**4 + 10*x**2 + 9 - 33511*x + 16767*x + 16765*x = 0.
-1, 3
Let q(b) = -3*b**3 - 6*b**2 - 9*b - 14. Let j be q(-2). Let u be (-2)/10 - 2451/(-855). Let -17/3*h**3 - 28/3*h - h**j - 34/3*h**2 - u = 0. What is h?
-2, -1, -2/3
Let y = 222 + -238. Let b be -1*((-40)/y + -4). Factor 27/2 + b*g**2 - 9*g.
3*(g - 3)**2/2
Let q be (612/120 + -5)*(-4 + 7 + -2). Factor -1/10*b**3 - q + 1/10*b**2 + 1/10*b.
-(b - 1)**2*(b + 1)/10
Let j = 47 + -47. Suppose -11 = -2*r + l, j = 9*r - 8*r + 3*l + 12. Factor 4*x**4 + 8/5*x + 0 - 32/5*x**r + 4/5*x**2.
4*x*(x - 1)**2*(5*x + 2)/5
Factor 7352694*q**3 + 0*q - 3321*q**4 + 1/2*q**5 - 5426288172*q**2 + 0.
q**2*(q - 2214)**3/2
Let x(s) be the second derivative of 16*s + 1/75*s**5 + 3/2*s**2 + 0*s**3 - 1/300*s**6 + 1/20*s**4 + 0. Let z(k) be the first derivative of x(k). Factor z(d).
-2*d*(d - 3)*(d + 1)/5
Let r(z) be the second derivative of -5/6*z**3 + 0*z**5 + 80*z - 1/3*z**6 + 0 + 5/42*z**7 + 0*z**2 + 5/6*z**4. Factor r(h).
5*h*(h - 1)**3*(h + 1)
Let q be (94/35)/(140/(-350) + (-2)/(-4)). Factor 4418/7 + 2/7*a**2 + q*a.
2*(a + 47)**2/7
Let n(a) be the third derivative of -2*a**7/105 - 7*a**6/15 + a**5/15 + 7*a**4/3 + 1268*a**2. Find m such that n(m) = 0.
-14, -1, 0, 1
Let u(w) = -2*w**2 + 22*w + 3. Let v(i) = 3*i**3 - 3*i**2 + 3*i - 7. Let g be v(2). Let c be u(g). Find m, given that 0 + 6*m + 1/6*m**c + 2*m**2 = 0.
-6, 0
Let d(c) be the second derivative of -3*c**5/140 - 485*c**4/14 - 118096*c**3/7 - 702768*c**2/7 - 4*c - 1136. Solve d(l) = 0 for l.
-484, -2
Let 4*k**4 + 7555704*k**2 + 11077388*k - 3531200*k - k**4 + 9519*k**3 = 0. Calculate k.
-1586, -1, 0
Let p(s) be the third derivative of -1/2*s**4 + 8*s**2 - 1/30*s**5 + 0*s**3 + 0*s - 8. Find j such that p(j) = 0.
-6, 0
Let s(j) be the third derivative of j**6/240 - 17*j**5/40 + 43*j**4/6 + 805*j**2 - 2*j. Factor s(v).
v*(v - 43)*(v - 8)/2
Suppose 59*o**2 + 590*o - 129*o**2 - 17405 + 65*o**2 = 0. What is o?
59
Let w(l) = 3*l**3 - 1205*l**2 + 106013*l + 328329. Let d(n) = 3*n**3 - 1188*n**2 + 106011*n + 328329. Let j(u) = 4*d(u) - 3*w(u). Find a such that j(a) = 0.
-3, 191
Let m(d) be the third derivative of -40/9*d**3 + 0*d + 0 - 1/18*d**6 + 22*d**2 + 5/126*d**7 - 5/1008*d**8 + 20/9*d**4 - 4/9*d**5. Solve m(s) = 0 for s.
-2, 1, 2
Suppose 2*w - 26 = -3*b, -8*w + 11*w - 12 = 0. Let n be ((-2)/(-54))/(1/b). Factor -2/3 + 2/9*o**3 - 10/9*o - n*o**2.
2*(o - 3)*(o + 1)**2/9
Let f(u) be the second derivative of -11*u**7/21 + 16*u**6/5 - 71*u**5/10 + 7*u**4 - 8*u**3/3 - 80*u - 19. Let f(s) = 0. Calculate s.
0, 4/11, 1, 2
Find m such that -466/17*m + 468/17 - 2/17*m**2 = 0.
-234, 1
Let h(w) be the third derivative of w**5/360 - 2177*w**4/72 + 4739329*w**3/36 - 2214*w**2 + w. Factor h(c).
(c - 2177)**2/6
Let g(q) = 11*q - 19 - 2 + 8*q - q. Let u(n) = -n**2 - n + 1. Suppose t = 3 - 2. Let x(a) = t*g(a) + 3*u(a). Factor x(z).
-3*(z - 3)*(z - 2)
Let i(v) be the first derivative of -v**6/39 + 2*v**5/5 - 24*v**4/13 + 136*v**3/39 - 32*v**2/13 - 687. Suppose i(b) = 0. What is b?
0, 1, 2, 8
Let u(a) be the first derivative of a**5/5 - 57*a**4/4 - a**3/3 + 57*a**2/2 - 777. Determine l so that u(l) = 0.
-1, 0, 1, 57
Let l(d) = 4*d**3 - 112*d**2 + 208*d + 344. Let k(c) = -12*c**3 + 334*c**2 - 623*c - 1034. Let r(p) = 4*k(p) + 13*l(p). Factor r(s).
4*(s - 28)*(s - 3)*(s + 1)
Let l(y) be the first derivative of -y**7/210 + 26*y**2 + 65. Let h(v) be the second derivat