-5*a + 4*a = -5*m + 6, -m + 2*a = 6. Factor 92*b - 392*b - 150*b**2 + 155*b**m + 4500.
5*(b - 30)**2
Let j(d) be the third derivative of 13*d**5/330 + d**4/33 - 3*d**3/11 - 12*d**2 - 32. Suppose j(b) = 0. Calculate b.
-1, 9/13
Suppose -4*n - 5*d = -50, -3*d - 14 = -3*n + 10. Suppose w + 1 = -n*s + 11*s, 4*w + 1 = s. Factor 196/5*j + w - 56/5*j**2 + 4/5*j**3.
4*j*(j - 7)**2/5
Let q(f) be the third derivative of f**6/200 - 1779*f**5/50 + 1054947*f**4/10 - 834111428*f**3/5 - f**2 - 2433. Determine l, given that q(l) = 0.
1186
Let x = 1839465623/845 + -2176883. Let z = -1/169 - x. Factor z*o**4 - 9/5*o**3 - 3/5*o + 0 + 9/5*o**2.
3*o*(o - 1)**3/5
Suppose 5839*m - 8455*m = 0. Factor m + 0*v - 56/9*v**3 + 98/3*v**4 - 8/9*v**2.
2*v**2*(7*v - 2)*(21*v + 2)/9
Let b(v) be the second derivative of -v**5/2 + 23*v**4/3 + 196*v**3/15 + 8*v**2 + 913*v. Let b(d) = 0. Calculate d.
-2/5, 10
Suppose 2*a + 11 = -2*m - 17, -3*m - 5*a = 52. Let w(z) = z**2 + 11*z + 20. Let q be w(m). Factor 3 + 12*h**3 + 48*h - 2 - 51*h**q - 10.
3*(h - 3)*(h - 1)*(4*h - 1)
Let q(h) = -13*h**2 + 226*h - 3893. Let m(o) = -2*o**2 + 2*o - 1. Let g = -472 + 477. Let p(b) = g*m(b) - q(b). Factor p(r).
3*(r - 36)**2
Let t(a) = 4333821*a**2 - 18620*a + 20. Let v(o) = -60673490*o**2 + 260680*o - 280. Let r(b) = 55*t(b) + 4*v(b). Suppose r(k) = 0. Calculate k.
2/931
Let b(t) be the second derivative of 27/2*t**2 + 9/2*t**3 - 67*t + 1/2*t**4 + 0. Factor b(p).
3*(p + 3)*(2*p + 3)
Suppose -4*n = 3*m - 35, 4*m + 2 - 17 = n. What is a in -27*a + 2*a**2 - 3 + 0 - 18 + 12 - n = 0?
-1/2, 14
Let h(a) be the third derivative of a**6/150 - 2*a**5/25 - 7*a**4/30 + 332*a**2. Factor h(l).
4*l*(l - 7)*(l + 1)/5
Suppose -2*l = -4*w + 3*w - 3, 2*w = -l + 14. Solve -w*k**2 - 18 - 29*k + 12*k + 5*k**2 + k**2 = 0 for k.
-1, 18
Let p = -43 - -17. Let w = -23 - p. Find s, given that -20*s**3 - 2*s**2 + 16*s**w + 10*s**2 = 0.
0, 2
Let f(x) be the second derivative of x**6/105 + x**5/14 + 2*x**4/21 + 57*x. Factor f(u).
2*u**2*(u + 1)*(u + 4)/7
Let -159/5*l**3 - 12/5 + 792/5*l**2 - 621/5*l = 0. Calculate l.
-1/53, 1, 4
Let h(c) = -17*c - 117. Let x be h(-7). Solve 41*l**x + 3*l**3 - 4*l**3 - 65*l**2 - 3*l**3 + 64*l = 0.
-8, 0, 2
Let z(d) = 28*d - 25. Let l(a) = -15*a + 14. Let x(f) = -7*l(f) - 4*z(f). Let y be x(0). What is k in 2/3 - 1/3*k**y - 1/3*k = 0?
-2, 1
Let k be (0/3)/(98/14 + -9). Let 1/2*m**2 + 0*m**3 + k*m + 0 - 1/2*m**4 = 0. What is m?
-1, 0, 1
Let r(y) be the second derivative of -4 + 45*y**2 - 325/6*y**3 + 35/12*y**4 - y. Find u such that r(u) = 0.
2/7, 9
Let m = -943 - -1095. Find k, given that -16 - 48*k**2 - 8*k + m*k - 212*k**2 = 0.
2/13, 2/5
Let v(j) be the second derivative of -j**5/160 - 5*j**4/64 - 3*j**3/8 + 75*j**2 - 6*j - 3. Let a(c) be the first derivative of v(c). Factor a(o).
-3*(o + 2)*(o + 3)/8
Let 8*t**4 + 68/3*t**3 - 784/3*t - 160 - 4/3*t**5 - 88*t**2 = 0. What is t?
-2, -1, 5, 6
Let q(k) be the third derivative of 88*k**2 + 1/30*k**6 + 0*k**5 + 0*k**3 + 0*k + 0*k**7 + 0*k**4 - 1/336*k**8 + 0. Determine u, given that q(u) = 0.
-2, 0, 2
Let r(y) be the first derivative of -2*y**3/9 - 145*y**2/3 + 196*y - 5864. Factor r(x).
-2*(x - 2)*(x + 147)/3
Let n(y) be the second derivative of -y**7/3780 + y**5/180 - y**4/54 - 7*y**3 - 20*y - 1. Let g(c) be the second derivative of n(c). Solve g(j) = 0.
-2, 1
Let t = -5646 - -5646. Let u(j) be the third derivative of 1/330*j**5 + 0*j**4 + t*j + 0*j**3 + 4/1155*j**7 + 0 + 1/132*j**6 - 18*j**2. Factor u(s).
2*s**2*(s + 1)*(4*s + 1)/11
Let u be (-102)/(-42) - (-9)/(-21). Let p(f) be the second derivative of 1/80*f**5 - 1/24*f**4 + 0 + 0*f**u + 1/24*f**3 - 11*f. Factor p(m).
m*(m - 1)**2/4
Suppose 2*i - 4*i = -272. Suppose 0 = -i*d + 137*d - 5. Solve -56/3*y**d + 0 + 8/3*y - 16/3*y**2 - 34*y**3 + 166/3*y**4 = 0 for y.
-2/7, 0, 1/4, 1, 2
Let k(d) be the first derivative of d**6/2 - 12*d**5/5 - 249*d**4 + 672*d**3 + 42336*d**2 + 859. Factor k(o).
3*o*(o - 14)**2*(o + 12)**2
Factor -868/5*h**2 - 9152*h + 29040 - 4/5*h**3.
-4*(h - 3)*(h + 110)**2/5
Suppose 31*d = 12*d - 1159. Let i be (-8)/(-96)*-6 - d/26. Suppose -22/13*s**3 - i*s**2 - 6/13*s**4 - 8/13*s + 0 = 0. Calculate s.
-2, -1, -2/3, 0
Let j(p) = -p**3 + 11*p**2 - 9*p - 34. Let n be j(8). Factor x**4 + x**3 - x**3 + 85*x**2 - n*x**2.
x**2*(x - 1)*(x + 1)
Factor -2*t**3 - 8 + 26/3*t**2 - 16/3*t.
-2*(t - 3)*(t - 2)*(3*t + 2)/3
Factor 2/11*t**3 - 378/11*t + 460/11 - 84/11*t**2.
2*(t - 46)*(t - 1)*(t + 5)/11
Let z(q) be the first derivative of 0*q + 6/13*q**2 - 130 + 2/39*q**3 - 1/26*q**4. Factor z(h).
-2*h*(h - 3)*(h + 2)/13
Let b(u) = -76*u + 9960. Let y be b(131). Let t(j) be the first derivative of 20/3*j**2 + 8/3*j + 22 + 11/3*j**y + 2/3*j**5 + 22/3*j**3. Solve t(s) = 0 for s.
-2, -1, -2/5
Let w(h) = 5*h**3 + h**2 - 7*h + 52. Let z(d) = -d**3 + d. Let m(c) = 2*w(c) + 6*z(c). Let g(q) be the first derivative of m(q). Factor g(x).
4*(x + 1)*(3*x - 2)
Let q(d) be the third derivative of d**5/12 - 1085*d**4/12 - 26*d**2 - 30*d + 1. Suppose q(a) = 0. Calculate a.
0, 434
Let o(r) be the second derivative of 3*r**5/20 + 5*r**4/2 - 26*r**3 + 84*r**2 - 99*r + 15. Let o(k) = 0. Calculate k.
-14, 2
Let a be 648/(-96)*1/(-6)*4. Solve -a*u - 33*u**2 + 0 - 78*u**3 - 63*u**4 - 27/2*u**5 = 0 for u.
-3, -1, -1/3, 0
Factor -2/3*d**3 + 284/3 - 190*d + 96*d**2.
-2*(d - 142)*(d - 1)**2/3
Let d = 195825 - 787131/4. Let g = 958 + d. Factor 1/2 + g*i**4 - 3/4*i**2 + 1/4*i - 1/4*i**3.
(i - 2)*(i - 1)*(i + 1)**2/4
Let b be ((-168)/(-840))/(2/140). Let i(v) be the second derivative of -2/3*v**2 + 1/12*v**4 - b*v + 0*v**3 + 1/60*v**5 + 0. Determine o, given that i(o) = 0.
-2, 1
Let w(s) be the first derivative of 2*s**6/9 - 2*s**5/9 - s**4/3 + 10*s**3/27 - 1068. Let w(o) = 0. What is o?
-1, 0, 5/6, 1
Let s be (-97)/(-10) + -10 - ((-1836)/120 + 13). Determine o so that -16/3*o + 0 + 4/3*o**s = 0.
0, 4
Let v(u) be the first derivative of -97 + 0*u**2 - 1/12*u**4 + 0*u + 2/9*u**3. What is j in v(j) = 0?
0, 2
Let m(u) be the third derivative of -36 + 7/8*u**4 + 1/20*u**5 + 0*u**3 - u**2 + 0*u. Factor m(h).
3*h*(h + 7)
Let m be 3 - ((-18)/99)/(1/(-11)). Let b be ((-2)/(-6) - m)/((-112)/96). Solve 6/7*i**2 - b*i + 0 = 0.
0, 2/3
Let p(x) be the third derivative of x**6/300 + 6*x**5/25 + 27*x**4/5 + 9*x**2 - 10. What is n in p(n) = 0?
-18, 0
Suppose 7 + 6 = c - y, -4*y = c + 7. Suppose -d = 4*g + 2*d - c, -3*g - 3*d + 6 = 0. Find l, given that 2*l + 0*l**2 + 14 - g*l**2 + l**2 + 10*l = 0.
-1, 7
Let d(m) = 2*m**3 - 170*m**2 + 2204*m - 7252. Let n(c) = -c**3 + c**2 - 16. Let s(g) = d(g) - 2*n(g). Factor s(b).
4*(b - 19)**2*(b - 5)
Let f(s) be the first derivative of -2*s**5/5 + 22*s**4 - 406*s**3/3 + 316*s**2 - 312*s - 4370. Factor f(j).
-2*(j - 39)*(j - 2)**2*(j - 1)
Let z be 4/6*(-21)/(-14). Let f(g) = -g**2 + 1. Let v(m) = 8*m + 14*m - 2*m**2 - 31*m + 7*m. Let l(x) = z*v(x) - 4*f(x). Factor l(h).
2*(h - 2)*(h + 1)
Let v(b) be the first derivative of -113 + 9/4*b**4 - 14/9*b**3 - 1/18*b**6 + 0*b - 4/5*b**5 + 0*b**2. Solve v(g) = 0.
-14, 0, 1
Let y(h) = h**2 + 118*h + 986. Let u be y(-9). Let c(z) be the first derivative of 6/5*z**u - 4*z**2 + 7/2*z**4 + 19 + 0*z**3 + 0*z. Factor c(p).
2*p*(p + 1)*(p + 2)*(3*p - 2)
Suppose 51 = 2*b - 5*b. Let z be (-7 + b)*((-22)/3 - 0). Factor -156*s**2 + 184*s - 20 + z*s + 16*s**3 + 81 + 39.
4*(s - 5)**2*(4*s + 1)
Suppose 16899*i + 3 + 2967*i**2 - 31576*i + 17647*i = 0. Calculate i.
-1, -1/989
Determine z, given that -8*z**3 + 136/9*z**2 + 14/9*z**5 - 46/9*z**4 - 32/9*z + 0 = 0.
-2, 0, 2/7, 1, 4
Let y = -320 + 451. Suppose -y*m**2 - 49*m**4 - 205*m**2 + 12*m**2 - 216*m**3 - 3*m**5 + 4*m**4 = 0. Calculate m.
-6, -3, 0
Let -319*r**2 + 94 - 720*r + 4*r**4 - 109*r**2 - 191 - 72*r**3 - 90 - 181 = 0. What is r?
-2, -1, 23
Let i(w) be the third derivative of 0 - 1/78*w**4 + 0*w + 22*w**2 - 1/390*w**5 - 1/39*w**3. Factor i(t).
-2*(t + 1)**2/13
Let k(n) be the third derivative of n**7/315 - 31*n**6/1080 + n**5/108 + 167*n**2 + 5. Factor k(p).
p**2*(p - 5)*(6*p - 1)/9
Suppose -35*y = -262 - 123. Suppose 0 = -d, -2*d - y = 3*k - 17. Factor 1/7*j**k + 4/7 - 5/7*j.
(j - 4)*(j - 1)/7
Let o be 8/10 - 1 - 44748/660. Let l be (-6)/(-5)*(-85)/o. Solve -1/2*r**2 - 1 - l*r = 0 for r.
-2, -1
Suppose -251 = -19*v -