+ 59*t**5/15 - 235*t**4/12 + 352*t**3/9 + 2260*t**2. What is m in n(m) = 0?
1, 352
Let l(k) = k**3 + 3*k**2 - 13*k + 4. Let r be l(-4). Suppose -61*x - r = -81*x. What is m in 0 - 2/5*m**x + 8/5*m = 0?
0, 4
Let a(g) be the first derivative of -5*g**4/4 + 5*g**3/3 + 60*g**2 + 180*g + 1344. Factor a(p).
-5*(p - 6)*(p + 2)*(p + 3)
Let y be 52/13 + 1078/(6/3). Solve -37*l - y + 3*l**2 + 543 - 4*l**2 = 0.
-37, 0
Let z(n) be the first derivative of 2*n**5/45 - 26*n**4/9 - 1316*n**3/27 - 2180*n**2/9 - 350*n + 4255. Determine s so that z(s) = 0.
-5, -1, 63
Let m(d) be the third derivative of 0*d - 1/108*d**6 - 1/30*d**5 + 0 - 7/108*d**4 - 1/945*d**7 - 60*d**2 - 2/27*d**3. Suppose m(s) = 0. Calculate s.
-2, -1
Suppose 2*g = -2*m + 26, 0*m + 3*m + 121*g - 1101 = 0. Let h be (-9)/(-4) - (-2 + 4). Let h*t**3 + 1/4*t**m - 3/2*t**2 + 2 - t = 0. What is t?
-2, 1, 2
Let d be (4/5)/((-1)/(-5)). Suppose 0 = -d*k - 0*k + 8. Factor -a**k + 1 - 89*a**3 + 0 + a + 88*a**3.
-(a - 1)*(a + 1)**2
Suppose 34*h - 320 = -61 + 353. Let j(u) be the first derivative of 4/3*u - 1/3*u**3 + h + 0*u**2 - 1/12*u**4. Let j(s) = 0. What is s?
-2, 1
Let p(k) = k + 1. Let y be p(1). Let t = -563671 + 563674. Solve 9/4*w**t - 87/4*w**y + 75/4 + 195/4*w = 0.
-1/3, 5
Let 11*m**3 - 28*m**2 - 54 - 47*m**2 - 6 - 154*m - 190*m = 0. Calculate m.
-3, -2/11, 10
Suppose 0 = -2*g - 2*g - 8, -5*m + 4*g + 1478 = 0. Solve 804*a**2 - 94*a**3 + 77*a**3 + 167*a**3 + 180*a**3 + 54*a**4 + 819*a + 3*a**5 + m = 0.
-7, -2, -1
Let b(l) be the third derivative of -l**8/1176 - l**7/147 + 47*l**6/420 + l**5/2 + 9*l**4/14 + 4402*l**2. Suppose b(h) = 0. What is h?
-9, -1, 0, 6
Let l(f) be the third derivative of 0*f + 0*f**4 + 0*f**3 - 19/840*f**7 + 1/60*f**5 + 0 + 1/60*f**6 - 43*f**2 + 1/192*f**8. Solve l(h) = 0 for h.
-2/7, 0, 1, 2
Let z(d) be the first derivative of 1/10*d**2 + 4/5*d - 1/30*d**3 + 3. Factor z(m).
-(m - 4)*(m + 2)/10
Let j(y) = -y + 1. Let i(g) = -g**3 - g**2 + 8*g - 6. Suppose -3*d - 39 = -4*d. Suppose 3 = 7*t - d. Let k(l) = t*j(l) + i(l). Solve k(v) = 0.
-2, 0, 1
Let h(n) be the second derivative of -n**6/3 - 89*n**5/10 - 79*n**4/6 + 89*n**3/3 + 84*n**2 + 130*n. Find s such that h(s) = 0.
-84/5, -1, 1
Suppose 5*u + 3*g = 17, -6*g - 3 = -u - 7*g. Suppose 38*o - 80 + u = 0. Let -2/3*h + 8/3*h**o + 2/3*h**3 - 8/3 = 0. Calculate h.
-4, -1, 1
Let b(i) = -i**3 + 4*i**2 - i + 4. Let u be b(4). Suppose u = 7*d - 96 + 19. Factor -3*o**3 - 38 - 21*o + 10 - 15*o**2 + 8 + d.
-3*(o + 1)**2*(o + 3)
Let n(o) be the second derivative of o**7/13860 + 3*o**6/220 + 243*o**5/220 - 17*o**4/4 - 111*o. Let k(m) be the third derivative of n(m). Factor k(p).
2*(p + 27)**2/11
Let z(p) be the first derivative of p**3 + 48 + 39/2*p**2 - 42*p. Suppose z(v) = 0. What is v?
-14, 1
Let v(l) be the second derivative of 2*l**3 + 7/2*l**2 + 1/40*l**6 - 11*l - 1/8*l**4 - 1/5*l**5 + 0. Let n(r) be the first derivative of v(r). Factor n(m).
3*(m - 4)*(m - 1)*(m + 1)
Let k be 1 - (2 - 1) - -4. Factor -154*y**2 - 8*y**3 - 12*y**3 + 45 + 297*y**2 + 60*y + 5*y**k - 153*y**2.
5*(y - 3)**2*(y + 1)**2
Let a = -4129/18 - -2069/9. Factor -1/2*m**3 + 2*m + a*m**4 - 2*m**2 + 0.
m*(m - 2)*(m - 1)*(m + 2)/2
Let p be ((-1)/26)/((-453)/3926). Let j(h) be the first derivative of -37 - 5/8*h**2 + 1/16*h**4 + p*h**3 + 0*h. Solve j(a) = 0.
-5, 0, 1
Let f(s) be the third derivative of s**6/780 + 7*s**5/195 + 61*s**4/156 + 28*s**3/13 + 7103*s**2. Factor f(u).
2*(u + 3)*(u + 4)*(u + 7)/13
Let z(r) be the first derivative of 5*r**4/4 - 190*r**3/3 - 825*r**2/2 - 630*r + 733. What is l in z(l) = 0?
-3, -1, 42
Let h(a) be the third derivative of 0*a + 0*a**4 + 1/315*a**7 + 0*a**5 + 2 - 1/360*a**6 - 1/1008*a**8 - 15*a**2 + 0*a**3. Factor h(t).
-t**3*(t - 1)**2/3
Let c be 6*(8/24)/(1/54). Suppose 1 - c*z**3 + 54*z**2 - 10*z**4 - 12*z + 0*z + 91*z**4 = 0. What is z?
1/3
Let a(i) be the second derivative of 0*i**2 + 1 + 7*i - 23/5*i**5 - 12/5*i**6 + 8*i**4 - 8/3*i**3. Solve a(m) = 0 for m.
-2, 0, 2/9, 1/2
Suppose 0 = 11*v - 2*v - 180. Let x(w) = -w**2 + w + 1. Let t(q) = -5*q**2 + 25. Let j(y) = v*x(y) - 5*t(y). Factor j(d).
5*(d - 3)*(d + 7)
Let u(b) = 38301*b - 2*b**2 - 38302*b - 2*b**2. Let i(t) = -188*t**2 + 170*t + 8. Let c(f) = -i(f) + 2*u(f). Factor c(d).
4*(d - 1)*(45*d + 2)
Let o(w) be the third derivative of -w**5/20 - 11*w**4 + 90*w**3 + 1035*w**2 - 2. Determine p, given that o(p) = 0.
-90, 2
Let z(a) be the third derivative of 3*a**8/56 + 11*a**7/15 + 406*a**6/135 + 26*a**5/15 - 40*a**4/9 + 64*a**3/27 - 54*a**2 + 7. Find k, given that z(k) = 0.
-4, -1, 2/9
Let t(w) be the first derivative of w**4/12 + 79*w**3/9 + 393*w**2/2 + 1647*w + 1319. Find b such that t(b) = 0.
-61, -9
Let t(m) = 6*m**3 - 26*m**2 - 70*m + 90. Let z = -111 + 101. Let c(h) = h**3 + h**2 - h - 1. Let o(b) = z*c(b) + t(b). Suppose o(v) = 0. Calculate v.
-5, 1
Let m be 2/(-3) + 40/6 + -2. Factor 13*v**4 + 8*v**3 - 12*v - 8*v**2 + 21*v**5 - 17*v**5 - v**m - 4.
4*(v - 1)*(v + 1)**4
Let m(v) = v**2 - 19*v + 64. Suppose -2*g = -g - 14. Let y(h) = -19 + 2*h**2 - 37*h + 99 + 34 + g. Let i(c) = -5*m(c) + 3*y(c). Factor i(l).
(l - 8)**2
Let h(q) = q**5 + 2*q**4 - 3*q**2 + 1. Let x(u) = 2*u**5 + 21*u**4 + 13*u**3 - 776*u**2 + 1440*u - 697. Let w(f) = 3*h(f) - x(f). Determine c so that w(c) = 0.
-7, 1, 10
Let v(x) be the first derivative of 4/5*x**2 - 54 + 0*x - 2/15*x**3. Suppose v(l) = 0. Calculate l.
0, 4
Factor -4812*z**2 - 4807*z**2 + 9615*z**2 - 20*z - 19 - 5.
-4*(z + 2)*(z + 3)
Let x(w) be the second derivative of -2*w**6/15 - 4*w**5/5 + 83*w**4/3 - 100*w**3 + 144*w**2 - 194*w - 10. What is t in x(t) = 0?
-12, 1, 6
Let d(z) = -3*z**3 + 3*z**2 - 15*z - 11. Suppose 4 = 4*v, -v = 5*m - 2*v - 9. Let w(k) = -k**3 + k**2 - 8*k - 6. Let a(g) = m*d(g) - 5*w(g). Factor a(p).
-(p - 4)*(p + 1)*(p + 2)
Let g(j) = j**3 + j**2 + j. Let o(x) = x**4 + x**3 - 10*x**2 - 36*x + 32. Let a be 6/(-8) + (-9)/36. Let c(z) = a*o(z) - 4*g(z). Find s, given that c(s) = 0.
-4, 1, 2
Let u be (-109)/(-203) - (-552)/16008. Suppose -4*f - 3*s + 10 = -0*s, 0 = 5*f - 3*s - 26. Factor 8/7*j**3 + 0 - 4/7*j**f - u*j**2 + 0*j.
-4*j**2*(j - 1)**2/7
Let h(x) be the first derivative of 13/7*x**3 + 9/7*x + 39/14*x**2 - 77 + 9/28*x**4. Factor h(a).
3*(a + 1)*(a + 3)*(3*a + 1)/7
Factor 2*j**3 + 571*j**2 + 926*j**2 + 436*j**2 + 513*j**2.
2*j**2*(j + 1223)
Suppose -1193*d - 2607 = -9765. Determine y so that 22/7*y**2 + d - 2/7*y**3 - 62/7*y = 0.
1, 3, 7
Find x such that -56/3*x**2 + 2/3*x**3 + 0*x + 0 = 0.
0, 28
Let p(f) be the first derivative of -3*f**4/20 - 27*f**3/5 + 567*f**2/10 + 3969*f + 2170. Factor p(u).
-3*(u - 15)*(u + 21)**2/5
Solve -320*d**2 + 0 + 296/3*d**3 - 40/3*d**4 + 384*d + 2/3*d**5 = 0.
0, 4, 6
Let p(t) = -11*t**2 + 436*t - 940. Let a(d) = 7*d**2 - 217*d + 470. Let s(u) = -7*a(u) - 4*p(u). Factor s(h).
-5*(h - 2)*(h + 47)
Suppose 3*h + 4*x - 50 = 0, -2*h - 7191 + 7250 = 5*x. Determine b, given that 0 + 0*b**h - 2*b**3 + 8/3*b + 2/3*b**4 = 0.
-1, 0, 2
Let k = -308 - -311. Determine g so that -5*g**4 - 25*g**3 + 20*g**3 - 35*g - 40*g**k - 75*g**2 = 0.
-7, -1, 0
Let c(u) = -766*u - 12254. Let k be c(-16). Suppose -12/5 + 2/5*s**k - 2*s = 0. Calculate s.
-1, 6
Suppose -128*g = 1293 - 1293. Let c(i) be the third derivative of g*i + 0*i**3 + 1/175*i**7 + 0*i**6 - 22*i**2 + 0 - 3/50*i**5 + 1/10*i**4. Factor c(n).
6*n*(n - 1)**2*(n + 2)/5
Let o(k) be the third derivative of 1/6*k**4 + 2 - 21*k**2 + 0*k + 1/60*k**6 - 8/15*k**3 + 23/150*k**5. Factor o(y).
2*(y + 1)*(y + 4)*(5*y - 2)/5
Let s = 2065 + -72281/35. Let p = s + 71/210. Let -5/6 - p*q**2 + q = 0. What is q?
1, 5
Let p(u) = u**2 - u. Let t(v) = 6*v**2 - 2*v. Suppose -7*r + r + 6 = 0. Let z be 2 + (r - 1) - 3. Let x(d) = z*t(d) + 2*p(d). Determine w so that x(w) = 0.
0
Let b be ((-1)/3)/((-3)/(-3 - -57)). Suppose -21 + 87 = b*k. Factor k*l**3 + 4 - 4*l**2 - 5*l**3 - 14*l**3 + 8*l.
-4*(l - 1)*(l + 1)*(2*l + 1)
Let q(m) = -m**2 + 12*m - 3. Let b(z) = 11*z + 3. Let p(d) = -8*d - 2. Let o(f) = 3*b(f) + 4*p(f). Let v(a) = 6*o(a) + 2*q(a). Factor v(t).
-2*t*(t - 15)
Let p = 83/26 - 3106/975. Let u = 337/75 + p. Factor -u*t**3 + 7/2*t**2 + 5/2*t**4 + 0 - t - 1/2*t**5.
-t*(t - 2)*(t - 1)**3/2
Let d(m) be the third derivative of m**5/390 - 17*m**4/52 + 50*m**3/39