46*o - 1956 - 1485*o**2 + 507/2*o**3.
-3*(o - 163)*(o - 2)**3/2
Let s be (16/(-12))/(4/(-6)). Let g(v) = -1291*v - 73583. Let q be g(-57). Let 8/7*n + 10/7*n**3 - 16/7*n**s + 0 - 2/7*n**q = 0. What is n?
0, 1, 2
Suppose -9*r + 212 = -508. Let o = -77 + r. Factor 5 - 3 + o*m + m**2 + 0.
(m + 1)*(m + 2)
Let p(h) be the third derivative of -h**6/420 - 37*h**5/420 - 17*h**4/168 + 3*h**3/7 - 2178*h**2. Solve p(s) = 0.
-18, -1, 1/2
Determine r, given that -8748/7*r**3 + 324/7*r**4 + 0*r**2 + 0 - 3/7*r**5 + 0*r = 0.
0, 54
Let h = 195 + -209. Let m(n) = -2*n**5 - 38*n**4 + 26*n**3 + 14*n - 14. Let v(b) = b**5 + 13*b**4 - 9*b**3 - 5*b + 5. Let l(r) = h*v(r) - 5*m(r). Factor l(c).
-4*c**3*(c - 1)**2
Let o(n) = n**2 + 7*n - 136. Let k be o(-15). Let r(f) = -3*f**3 - 46*f**2 + 32*f. Let w be r(k). Find q such that 2/5*q**3 - 6/5*q**2 + 4/5*q + w = 0.
0, 1, 2
Let w(s) be the second derivative of -s**5/170 + 11*s**4/102 - 23*s**3/51 - 35*s**2/17 - s + 560. Factor w(r).
-2*(r - 7)*(r - 5)*(r + 1)/17
Let -q**2 - 4*q**2 - 18986*q**4 - 47*q**3 + 18981*q**4 + 99*q - 54 + 12*q = 0. Calculate q.
-9, -2, 3/5, 1
Let w(q) = -155*q**2 - 131*q + 42. Let p(f) = -308*f**2 - 263*f + 90. Let v(o) = -2*p(o) + 5*w(o). Factor v(l).
-3*(l + 1)*(53*l - 10)
Suppose -4692554*f**3 + 4692418*f**3 - 2*f**5 + 1087*f**2 - 41*f**4 + 1962*f - 111*f**4 - 11*f**2 + 900 = 0. Calculate f.
-75, -2, -1, 3
Suppose 17822 = -10*n + 12*n. Suppose 3570 = 2*d + 3*t, 5*d = 3*t - 7*t + n. Determine w, given that -781 - d + 791*w + 169*w + 5*w**3 - 120*w**2 = 0.
8
Let f(u) = -18*u**3 + 32049*u**2 + 5354640*u + 5322573. Let i(v) = -v**3 + 2003*v**2 + 334665*v + 332661. Let s(a) = -2*f(a) + 33*i(a). Factor s(z).
3*(z + 1)*(z + 333)**2
Suppose 195 = -4*c + 203. Suppose -d = c, -2*d - 24 = -5*a - 10. Factor 0 - 1/6*i**4 + 1/6*i**3 + 1/6*i**a - 1/6*i.
-i*(i - 1)**2*(i + 1)/6
Factor -2/3*i**3 - 770/3*i - 600 - 92/3*i**2.
-2*(i + 5)**2*(i + 36)/3
Let u(i) be the second derivative of 9/2*i**2 - 7/36*i**4 + 7/6*i**3 + 2*i - 1/60*i**5 + 80. Let u(r) = 0. What is r?
-9, -1, 3
Let w(d) = d**3 + 25*d**2 + 915*d + 16309. Let k be w(-20). Suppose -81/2*j**2 - k*j - 1/2 = 0. What is j?
-1/9
Let c be (-3920)/(-3600)*-15 + 34/2. Find z such that 0*z + c*z**2 - 6 = 0.
-3, 3
Factor -118/7*s**2 + 1/7*s**3 + 34 - 121/7*s.
(s - 119)*(s - 1)*(s + 2)/7
Let l(g) be the first derivative of -g**3/18 - g**2/2 - 5*g/6 + 1730. Factor l(a).
-(a + 1)*(a + 5)/6
Solve 141/2*x**4 + 11/2*x**5 - 464*x**3 + 852*x**2 - 536*x + 72 = 0 for x.
-18, 2/11, 1, 2
Let v(c) = c**2 + 33*c - 378. Let p be v(9). Let u(o) be the second derivative of 2/39*o**4 + 1/10*o**5 + 0*o**2 + 0*o**3 + p + 6*o + 1/65*o**6. Factor u(t).
2*t**2*(t + 4)*(3*t + 1)/13
Let v(h) = -h**5 + 111*h**4 + 219*h**3 + 113*h**2 - 3. Let c(m) = -m**5 - m**4 - m**3 + m**2 - 1. Let k(l) = -3*c(l) + v(l). Factor k(i).
2*i**2*(i + 1)**2*(i + 55)
Let s be 1 + 2 + 52/39*3 - 7. Let -3/5*i**2 + 12/5*i + s = 0. What is i?
0, 4
Let p = 4563 - 4558. Let b(q) be the third derivative of -1/15*q**p - 98/3*q**3 + 7/3*q**4 + 0*q + 0 + 20*q**2. Factor b(w).
-4*(w - 7)**2
Let i(q) be the first derivative of -22*q**5/25 + 7*q**4/2 - 4*q**3/5 - 1065. Determine f, given that i(f) = 0.
0, 2/11, 3
Let j(g) = -14*g + 128. Let k be j(9). Factor 3*r**3 + 18*r - 14*r**2 - 10*r**2 + 45*r + 0*r**k - 54.
3*(r - 3)**2*(r - 2)
Let a = -3/3955 - -284793/43505. Let c(x) be the first derivative of -1/22*x**4 - a*x + 40 + 2/3*x**3 - 24/11*x**2. Factor c(l).
-2*(l - 6)**2*(l + 1)/11
Let w = 28 - 26. Let k be (-1)/w*6 - -7. Determine x, given that 8 - 4 - k + 4*x**2 - 4*x**4 + 4*x**3 - 4*x = 0.
-1, 0, 1
Let n(j) be the first derivative of 21*j**5/10 - 45*j**4/4 + j**3/2 + 45*j**2/2 - 12*j + 2825. Suppose n(m) = 0. What is m?
-1, 2/7, 1, 4
Suppose -108*m + 607 + 2413 = 647*m. Determine d, given that 28*d**2 - 22/3*d**3 - 128/3*d + 64/3 + 2/3*d**m = 0.
1, 2, 4
Let f(a) be the first derivative of 5/48*a**4 + 5/8*a**2 + 5/12*a**3 - 1 + 6*a. Let v(z) be the first derivative of f(z). Factor v(s).
5*(s + 1)**2/4
Let q(x) = -3*x**3 - 12*x**2 + 510*x - 519. Let v(k) = 6*k**3 + 25*k**2 - 1021*k + 1046. Let m(l) = 7*q(l) + 3*v(l). Factor m(f).
-3*(f - 11)*(f - 1)*(f + 15)
Let j(y) be the third derivative of -y**7/70 + 8*y**6/5 - 741*y**5/10 + 1805*y**4 - 48013*y**3/2 - 1047*y**2. Suppose j(r) = 0. Calculate r.
7, 19
Let m(k) be the third derivative of k**7/105 - 8*k**6/15 + 113*k**5/30 - 11*k**4/6 - 56*k**3 + 2*k**2 - 2*k + 1. Determine g so that m(g) = 0.
-1, 2, 3, 28
Let b(t) be the second derivative of 15*t + 0*t**6 - 1/15*t**5 + 1/6*t**3 + 1/18*t**4 + 1 + 1/126*t**7 - 1/3*t**2. Find o such that b(o) = 0.
-2, -1, 1
Let h(p) be the third derivative of p**5/330 - 31*p**4/12 - 3496*p**2. Factor h(g).
2*g*(g - 341)/11
Let k(p) be the first derivative of p**3 + 465*p**2/2 + 462*p - 1381. Solve k(r) = 0 for r.
-154, -1
Let o be (-372)/(-279)*9/4. Let d(t) be the second derivative of 0 - 1/40*t**5 + 1/60*t**6 + 23*t + 1/12*t**o + 0*t**2 - 1/24*t**4. Factor d(w).
w*(w - 1)**2*(w + 1)/2
Let r(v) = -77*v. Let j be r(0). Let n(a) be the second derivative of 35/12*a**4 + 1/4*a**5 - 15*a + 5*a**3 + 0*a**2 + j. Factor n(h).
5*h*(h + 1)*(h + 6)
Let d(r) be the third derivative of r**3 - 47/96*r**4 + 11/120*r**5 - 72*r**2 + 1/480*r**6 + 0*r - 2. Let d(v) = 0. What is v?
-24, 1
Let c(p) be the second derivative of -p**8/1344 - p**7/126 - p**6/36 - 101*p**4/6 - 11*p - 4. Let j(i) be the third derivative of c(i). Factor j(g).
-5*g*(g + 2)**2
Factor 1/2*a**3 + 16810 + 2952*a - 159/2*a**2.
(a - 82)**2*(a + 5)/2
Let l(n) be the second derivative of -n**6/240 - 9*n**5/160 + 47*n**4/96 - 21*n**3/16 + 13*n**2/8 + 672*n. Solve l(u) = 0.
-13, 1, 2
Let c = 27 + -23. Let y(h) be the first derivative of 15 - 4*h**4 + 6*h**2 + 2*h**2 - 3*h**c + 6*h**4. Suppose y(p) = 0. What is p?
-2, 0, 2
Factor -512*a**2 + 1354*a**2 - 166*a - a**3 - 153*a + 159 - 681*a**2.
-(a - 159)*(a - 1)**2
Let w(o) = -15*o**2 - 112*o. Let j(i) = 16*i**2 + 114*i - 4. Let r(g) = 10*j(g) + 12*w(g). Let r(q) = 0. Calculate q.
-10, -1/5
Let i(j) be the third derivative of 2*j**7/21 + 199*j**6/24 - 233*j**5/6 + 65*j**4/3 - 4*j**2 - 11*j - 31. Solve i(d) = 0.
-52, 0, 1/4, 2
Let g(p) be the second derivative of -p**6/75 - 1653*p**5/25 - 607202*p**4/5 - 1338273208*p**3/15 - 6*p + 3. Let g(b) = 0. What is b?
-1102, 0
Let v(y) = -4*y - 1. Let w(s) = 9*s + 1. Let z(p) = -7*v(p) - 3*w(p). Let l be z(-2). Factor 6 + 15*m + 6*m**l - 358*m**3 + 361*m**3 + 6*m**2.
3*(m + 1)**2*(m + 2)
Factor 27075/8 - 187/8*f**2 + 8455/8*f + 1/8*f**3.
(f - 95)**2*(f + 3)/8
Let l(a) = -a**2 - 12*a + 5. Let i be l(-3). Let h = 80 - 78. Factor 33 + 198*t + 15*t**h + i*t + 13 + 29.
5*(t + 15)*(3*t + 1)
Let s = 79866 + -79864. Factor -2/9*w**3 - 10/9*w**s - 2/3 - 14/9*w.
-2*(w + 1)**2*(w + 3)/9
Let w(z) be the third derivative of -32*z**5/15 + 11*z**4/6 + 14*z**3 + 7*z**2 + 42*z + 3. Factor w(o).
-4*(o - 1)*(32*o + 21)
Let -3/2*j**2 + 3/2*j**4 - 7/4*j + 2*j**3 - 1/4*j**5 + 0 = 0. What is j?
-1, 0, 1, 7
Let m be (-996)/(-204) + 0 + (-4)/(-34). Let 12*o + 16288 - 16273 - 5*o**3 + 13*o + m*o**2 = 0. What is o?
-1, 3
Let u = -2021038 + 22251286/11. Let k = u + -1806. Let -6/11*w + k*w**2 + 2/11 - 4/11*w**4 + 6/11*w**3 = 0. Calculate w.
-1, 1/2, 1
Let r(v) = 4*v**2 + 322*v + 4503. Let c be r(-18). Find o, given that 1/3*o**2 + 2*o - 3/2 - 1/6*o**4 - 2/3*o**c = 0.
-3, 1
Let g = 829 + -831. Let a be ((-10)/g)/(15/2 - 5). Suppose 0*j - 8/9 + 2/9*j**a = 0. What is j?
-2, 2
Let s(x) be the first derivative of -1018*x**3/9 + 505*x**2/3 + 8*x/3 - 5630. Factor s(k).
-2*(k - 1)*(509*k + 4)/3
Let d(n) = -10*n**2 + 292*n + 16. Let p(i) = 12*i**2 - 291*i - 20. Let t(q) = 5*d(q) + 4*p(q). Suppose t(b) = 0. What is b?
0, 148
Suppose 3*y = 3*u + 15, -y + 0*y - 4*u = 0. Let c(a) = 3*a**2 - 38*a + 12. Let h be c(18). Factor -3*w**2 - 30*w - 38*w + 4*w - h + y*w.
-3*(w + 10)**2
Let b(o) be the third derivative of -o**8/336 + o**7/105 + 7*o**6/120 + o**5/15 + 705*o**2. Factor b(t).
-t**2*(t - 4)*(t + 1)**2
Suppose 673*s - 2157 = -46*s. Let -8*g**5 - 3/4*g**2 - 13*g**4 + 0 + 0*g - 23/4*g**s = 0. Calculate g.
-1, -3/8, -1/4, 0
Let f be ((-6)/10)/(-7 + 34/5). What is x in -7*x - 12*x**2 - 10*x + f*x**4 + x - 2*x**4 = 0?
-2, 0, 4
Let d(k) be th