s x in -8/5*x**2 + 6/5*x + 0 + l*x**3 = 0?
0, 1, 3
Let g(n) be the first derivative of -n**4/72 + n**3/36 + 5*n**2/2 - 60*n - 43. Let r(d) be the first derivative of g(d). Let r(c) = 0. What is c?
-5, 6
Find d such that -34/13*d**4 - 2/13*d**5 - 32/13*d**2 + 192/13*d - 124/13*d**3 + 0 = 0.
-12, -4, -2, 0, 1
Let s(p) = 2*p**3 + p**2 - 4*p - 1. Let q(z) = -32*z**3 + 66*z**2 - 236*z - 922. Let i(x) = q(x) + 14*s(x). Factor i(r).
-4*(r - 13)*(r - 9)*(r + 2)
Let q = 111667/5 + -22333. Factor -h + q - 1/5*h**3 + 4/5*h**2.
-(h - 2)*(h - 1)**2/5
Let d(y) be the third derivative of 7/80*y**5 + 1/56*y**7 + 23*y**2 + 0 + 0*y + 49/48*y**4 - 61/480*y**6 + 0*y**3 - 1/1344*y**8. Determine r so that d(r) = 0.
-1, 0, 2, 7
Let q(p) be the first derivative of p**4/10 - 362*p**3/15 - p**2/5 + 362*p/5 + 4006. Factor q(j).
2*(j - 181)*(j - 1)*(j + 1)/5
Let t be (14/(-4))/(1*(-6)/12). Let s be (11 + -17)*t/(-14). Factor -2/7*o**2 + 2/7*o**4 - 4/7*o**s + 0 + 4/7*o.
2*o*(o - 2)*(o - 1)*(o + 1)/7
Let p = 5781 + -17311/3. Suppose -3*r = -10 + 1. Factor -p*k**r - 34/3*k + 4/3 + 80/3*k**2.
-2*(k - 2)*(4*k - 1)**2/3
Let v = -190432/15 + 12696. Suppose 4*i = -14*t + 9*t + 10, -i - 8 = -4*t. Factor v*z - 8/15*z**2 + 4/15*z**4 + i + 2/15*z**5 - 2/5*z**3.
2*z*(z - 1)**2*(z + 2)**2/15
Let b(q) be the second derivative of -43*q**3 + 33*q**2 + q + 37. Let i(g) = 2*g**2 + 514*g - 132. Let t(u) = -9*b(u) - 4*i(u). Factor t(s).
-2*(s - 33)*(4*s - 1)
Let x(m) = -m**2 - 76*m - 960. Let c be x(-60). Let a be 2/2 - (1 - 0). Factor c*b + 2 + 3*b + 0*b**3 + a*b - b**3.
-(b - 2)*(b + 1)**2
Let t = -11 + -4. Let k be ((-5)/t)/(1 - 10/12). Factor 3*f**k + f**2 + 105*f - 101*f.
4*f*(f + 1)
Let x be (-4)/(-15) - (96/192 + (-38)/60). Factor 16/5 - 18/5*y + x*y**2.
2*(y - 8)*(y - 1)/5
Let d(f) be the first derivative of -f**6/45 + 2*f**5/5 - 23*f**4/15 - 64*f**3/15 + 128*f**2/15 + 776. Suppose d(c) = 0. What is c?
-2, 0, 1, 8
Let r be (-7 - 1) + (-79)/(-7) + 98/(-343). Find f, given that 4/3*f**2 - 4/3*f**4 + 2/3*f + 0*f**r + 0 - 2/3*f**5 = 0.
-1, 0, 1
What is d in -63 + 16*d**3 + 6*d**2 + 2*d - 126*d + 101 - 150 - 2*d**4 = 0?
-2, -1, 4, 7
Let f(t) be the second derivative of t**7/7 + 81*t**6/10 + 213*t**5/40 - 709*t**4/16 + 219*t**3/4 - 30*t**2 - 4*t - 325. Find b such that f(b) = 0.
-40, -2, 1/2
Suppose -20*n - 10 = -25*n. Suppose -11 = -m + 2*l + 3*l, n*m + l - 11 = 0. Factor -4*h + 18 - m*h**2 + 4*h**2 - 20.
-2*(h + 1)**2
Factor 1/2*t**2 + 341*t - 683/2.
(t - 1)*(t + 683)/2
Let p be 3/5*5*7. Let 3*z**3 + 1 - 14 - 5 - 15*z + p*z - 18*z**2 + 27*z = 0. What is z?
1, 2, 3
Let y be (-52)/(-14)*1218/2262. Determine b, given that 86/3*b**4 + 284/3*b + 113*b**3 + 16 + 7/3*b**5 + 496/3*b**y = 0.
-6, -4, -1, -2/7
Let b be -1*8/20 - 4/(-10). Suppose 2*g - 3*t = 64, -3*g - 3*t + 66 + 15 = b. Factor -3*z**3 - 11*z**3 + g*z**3 + 15*z**2 + 10*z - 10*z**3.
5*z*(z + 1)*(z + 2)
Let m(r) be the third derivative of r**7/42 + 3791*r**6/24 + 299252*r**5 - 748920*r**4 + 52*r**2 + 3*r - 1. Let m(w) = 0. Calculate w.
-1896, 0, 1
Let a = -3081 + 3085. Let r(j) be the first derivative of 8/5*j + 1/10*j**a + 4/15*j**3 - 9 - 7/5*j**2. Factor r(d).
2*(d - 1)**2*(d + 4)/5
Suppose 2*i + 134 - 634 = -2*f, -f + 5*i = -238. Let j = -742/3 + f. Find s such that 0*s + j*s**2 + 0 = 0.
0
Let v(n) be the third derivative of -n**6/900 + 353*n**5/90 + 3533*n**4/180 + 589*n**3/15 - 13946*n**2. Factor v(h).
-2*(h - 1767)*(h + 1)**2/15
Let j(v) be the second derivative of v**6/60 - 13*v**5/40 + 3*v**4/4 + 40*v**3/3 + 32*v**2 + 3532*v. What is m in j(m) = 0?
-2, -1, 8
Suppose -16*c - 207*c + 30*c = -386. Factor 10/3*p**3 + 0 + 0*p + 2/3*p**c - 4*p**4.
-2*p**2*(p - 1)*(6*p + 1)/3
Let h be 10 + -6 - (3 - 9). Let i be (-11)/(-2) - (-3)/(-6). Find v, given that 2*v**5 + h*v**2 - 2*v**5 - 22 - 4*v - v**i + 14 + 5*v**3 - 2*v**4 = 0.
-2, -1, 1, 2
Let c = -684026/65 - -136826/13. Factor -6/5*w**2 + 0*w**3 + 1/5*w**4 - 3/5 + c*w.
(w - 1)**3*(w + 3)/5
Let t = -143 + 466. Determine d, given that -d**2 + d**5 - 3*d**4 + 3*d**3 + 323*d - t*d = 0.
0, 1
Let g(h) = -2*h**3 + 55*h**2 + 474*h - 60. Let q be g(-7). Factor -3/2 - 1/2*t**2 + 5/2*t - 1/2*t**q.
-(t - 1)**2*(t + 3)/2
Let h = 296429/3 - 98808. Factor 0 + h*t - 1/6*t**3 - 3/2*t**2.
-t*(t - 1)*(t + 10)/6
Let x(v) = 63*v - 378. Let k be x(6). Solve 0*r**2 + 0 + 0*r**3 + 1/4*r**4 + k*r - 1/4*r**5 = 0.
0, 1
Let j(w) be the second derivative of w**5/40 + 17*w**4/12 + 11*w**3/4 - 143*w. Suppose j(h) = 0. What is h?
-33, -1, 0
Find a, given that -338 + 5/4*a**3 + 819*a + 129/2*a**2 = 0.
-26, 2/5
Let y be ((-58)/(-1189))/(17 - (-1392)/(-82)). Let 28/3*w + 4/9*w**y + 80/9 = 0. What is w?
-20, -1
Factor 32/3*n**2 + 0 - 110/3*n - 2/3*n**3.
-2*n*(n - 11)*(n - 5)/3
Find b such that 6717*b**3 - 3*b + 6 - 12*b**2 - 8*b**2 + 14*b**2 - 6714*b**3 = 0.
-1, 1, 2
Let u(x) be the second derivative of -x**5/20 + 27*x**4/4 + 41*x**3/3 + 35*x + 10. Factor u(q).
-q*(q - 82)*(q + 1)
Let r(u) be the second derivative of -u**3/6 + 13*u**2/2 + 2*u. Let a be r(12). Solve -1393*p**3 + a + 11*p**2 - p**5 - 5*p + 5*p**4 - p**2 + 1383*p**3 = 0.
1
Suppose 84 = -0*f + 7*f. Suppose -f*y = -16*y + 24. Let 12*j**4 + 2*j**5 - y*j**5 + 2*j**5 - 26*j**3 + 24*j**2 - 8*j = 0. What is j?
0, 1, 2
Factor 7*k + 8/3*k**2 + 1/3*k**3 + 6.
(k + 2)*(k + 3)**2/3
Suppose -488*k = -103*k - 394 - 376. Let t(h) be the third derivative of 0*h - 1/40*h**5 + 0 - 1/2*h**4 - 7/4*h**3 - 23*h**k. Suppose t(r) = 0. Calculate r.
-7, -1
Let u(x) be the third derivative of x**9/11340 - x**8/1008 + x**7/315 + 47*x**4/24 + 74*x**2 - x. Let m(p) be the second derivative of u(p). Factor m(s).
4*s**2*(s - 3)*(s - 2)/3
Let d be 0 - (-73)/(-1533)*0. Determine u, given that 2/13*u**4 + d*u - 2/13*u**2 + 0 + 2/13*u**5 - 2/13*u**3 = 0.
-1, 0, 1
Let c(r) be the first derivative of 2*r**3/21 - 1172*r**2/7 - 2346*r/7 + 7421. Find d such that c(d) = 0.
-1, 1173
Factor 0 - 1/2*l + 95/4*l**2.
l*(95*l - 2)/4
Let x = 2766 + -2766. Let f be (-58)/22 + 0 + 3. Let f*g**2 - 8/11*g**4 + 14/11*g**3 + 0 + x*g = 0. Calculate g.
-1/4, 0, 2
Let o(t) = t**5 - 6*t**4 - 7*t**3 + t**2 + t - 5. Let h(i) = -1 - 81*i**4 - i - 77*i**4 + 157*i**4. Let z(n) = -5*h(n) + o(n). Let z(j) = 0. Calculate j.
-2, -1, 0, 1, 3
Let t(h) = -h**2 - 404*h - 1595. Let f be t(-4). Let g(s) be the third derivative of 0 - 34*s**2 + 1/108*s**4 + 2/9*s**3 + 0*s - 1/270*s**f. Factor g(m).
-2*(m - 3)*(m + 2)/9
Let g(w) be the first derivative of w**4/32 + 5*w**3/12 + 17*w**2/16 - 7*w/2 - 5. Factor g(r).
(r - 1)*(r + 4)*(r + 7)/8
Let n(o) = -382*o**2 - 7870*o + 7746048. Let q(t) = -2102*t**2 - 39349*t + 38730240. Let w(k) = -11*n(k) + 2*q(k). Determine s so that w(s) = 0.
1968
Let m(y) = y**3 + 14*y**2 - 8*y - 4. Let j be m(-18). Let d = j - -1159. Factor 2/3*f**2 - f + 7/3*f**d + 0 + 2/3*f**4.
f*(f + 1)*(f + 3)*(2*f - 1)/3
Suppose 2/3*m**2 + 3388*m + 4304454 = 0. Calculate m.
-2541
Let a(b) = 6*b**2 - 141*b + 125. Let v(d) = -d**2 + d + 2. Let r(y) = a(y) + 5*v(y). Suppose r(q) = 0. What is q?
1, 135
Factor -7/2 - 5/2*n**2 - 6*n.
-(n + 1)*(5*n + 7)/2
Let 2/13*p**2 - 98/13 + 0*p = 0. What is p?
-7, 7
Let w(b) be the third derivative of -b**5/240 + 43*b**4/32 + 576*b**2 - b - 1. Factor w(h).
-h*(h - 129)/4
Let k(q) be the second derivative of -1/3*q**4 - q**3 + 2/5*q**5 + 0*q**2 - 1/21*q**7 - 172 + 2/15*q**6 + q. Determine s, given that k(s) = 0.
-1, 0, 1, 3
Let o(a) = 14*a**4 + 70*a**3 + 43*a**2 - 22*a - 6. Let b(s) = 17*s**4 + 69*s**3 + 44*s**2 - 20*s - 8. Let n(j) = -3*b(j) + 4*o(j). Solve n(t) = 0 for t.
-14, -1, 0, 2/5
Let w(z) be the third derivative of -z**7/105 + z**6/15 + z**5/10 - 5*z**4/6 - 8*z**3/3 + 681*z**2. Find u, given that w(u) = 0.
-1, 2, 4
Let l(d) be the second derivative of d**3 + 0*d**2 - 1/20*d**5 + 1/12*d**4 - 2*d + 7. Factor l(t).
-t*(t - 3)*(t + 2)
Let c(r) = 6*r**2 + 33*r + 20. Let y(d) = -20*d**2 - 100*d - 64. Let m(g) = -16*c(g) - 5*y(g). Determine j, given that m(j) = 0.
0, 7
Let u be 8/(-10) + (-6622)/(-715) - 8. Let r = 34/143 - -582/143. Find p such that r*p + 16/13 + u*p**4 + 34/13*p**3 + 68/13*p**2 = 0.
-2, -1, -2/3
Let k be 11/((-385)/(-40))*(-2380)/(-51). Let u(a) be the first derivative of 0*a + 12*a**2 + k*a**3 - 98/5*a**5 - 8 + 119/2*a**4. Factor u(o).
-2*o*(o - 3)*(7*o + 2)**2
L