r c(p).
p**3*(p - 8)
Let m be 7238/220 + -33 + (-154)/(-40). Let n(q) be the first derivative of -10/3*q**3 + 0*q**5 + 5/6*q**6 + 0*q + 0*q**2 + 34 - m*q**4. Solve n(t) = 0.
-1, 0, 2
Factor 2/5*n**2 + 2 - 12/5*n.
2*(n - 5)*(n - 1)/5
Suppose -6 = -a - 7. Let b be -39*a/12 - (-1)/(-4). Suppose 8*s**b - 2*s**3 - 3*s**4 - s**3 + s**3 = 0. Calculate s.
0, 2
Let x be (3 - (-423052)/(-139620))/((-1)/(-5)). Let y = 2/537 - x. Factor 16/13 - 12/13*t + y*t**2.
2*(t - 4)*(t - 2)/13
Factor 3898/3*q**2 - 2/3*q**3 - 1901248/3*q + 1897352/3.
-2*(q - 974)**2*(q - 1)/3
Let d(a) = -a**3 + 5*a**2 + 7*a + 3. Let i be d(-1). Factor -9*m - i*m - 12 - 15*m + 13*m - m**2.
-(m + 1)*(m + 12)
Determine b, given that -964*b + 480 - 4*b**3 - 222*b**2 - 872*b**2 + 1582*b**2 = 0.
1, 120
Let t = 1316/591 - 246830/70329. Let n = 6/119 - t. Determine z so that 2*z - n - 2/3*z**2 = 0.
1, 2
Let m(a) be the first derivative of -16*a**6/3 - 152*a**5/5 - 51*a**4/2 - 49*a**3/6 - a**2 + 590. Factor m(v).
-v*(v + 4)*(4*v + 1)**3/2
Let u(t) be the third derivative of -t**7/4410 + t**6/126 - 3*t**5/70 + t**4/4 - 3*t**3/2 - 3*t**2 + 32. Let i(x) be the second derivative of u(x). Factor i(m).
-4*(m - 9)*(m - 1)/7
Let o(n) be the second derivative of n**4/12 - 7*n**3/6 - 8*n**2 - 17*n. Let c be o(9). Solve 3 + 4*b**4 - 16*b**c + 3 - 6 = 0.
-2, 0, 2
Let r = 317441/3 + -105813. Factor 0 + 2/3*d**2 + 0*d + r*d**4 - 4/3*d**3.
2*d**2*(d - 1)**2/3
Solve -955*x**2 - 14*x**2 - 66 + 549*x**3 + 27*x**4 + 778*x - 319*x = 0.
-22, 1/3, 1
Let d(a) be the first derivative of -a**4/18 - 356*a**3/9 - 59*a**2 + 2132*a/9 - 6149. Let d(u) = 0. Calculate u.
-533, -2, 1
Let d(f) be the third derivative of 1/56*f**8 + 4/105*f**7 - 1/60*f**6 + 0*f**3 + 0*f**4 - 1/15*f**5 + 0 + f**2 + 24*f. Factor d(z).
2*z**2*(z + 1)**2*(3*z - 2)
Suppose 3*j = 19*r - 20*r + 99, -4*r - 4*j = -380. Factor -35*y**2 + 298*y - 19 + r - 24*y**2 + 67*y**2.
2*(y + 37)*(4*y + 1)
Let k = 104003/623856 - 9/207952. Suppose -16/3 - k*z**2 + 11/2*z = 0. What is z?
1, 32
Let l(b) = b**4 - 57*b**2 - 216*b - 246. Let g(j) = -4*j + 22. Let x be g(6). Let r(w) = -w**2 - 1. Let m(i) = x*l(i) + 6*r(i). Find d such that m(d) = 0.
-3, 9
Let h(r) = -4*r**2 + 9536*r - 1132720. Let w(b) = b**2 - 1907*b + 226546. Let s(o) = -3*h(o) - 16*w(o). Solve s(n) = 0 for n.
238
Let d(l) be the second derivative of -l**5/4 - 665*l**4/12 + 5*l**3/6 + 665*l**2/2 - 783*l. Factor d(f).
-5*(f - 1)*(f + 1)*(f + 133)
Factor -1/5*m**3 + 0 - 1/5*m**4 + 1/5*m + 1/5*m**2.
-m*(m - 1)*(m + 1)**2/5
Let u = 292569/4 - 73140. Determine c so that 0 - 3/4*c**5 + 0*c + 9/4*c**4 + 3/4*c**3 - u*c**2 = 0.
-1, 0, 1, 3
Let s(x) = x**4 - 2*x**3 + x - 1. Let k be 3/(-1) + 8*14/56. Let p(n) = 6*n**4 - 23*n**2 + 17*n - 5. Let u(l) = k*p(l) + 5*s(l). Factor u(d).
-d*(d - 1)**2*(d + 12)
Suppose 151*s + 10 = 152*s, 2*k - 266 = -26*s. Suppose 32/9 - 32/9*d**2 - 4/9*d**k + 4/9*d = 0. Calculate d.
-8, -1, 1
Determine m, given that 948*m**3 - 1632*m + 927*m**4 + 2552*m**2 - 947*m**4 + 1152*m**2 = 0.
-4, 0, 2/5, 51
Suppose -17/5*n**4 + 52/5 + 11*n**3 - 7*n**2 + 1/5*n**5 - 56/5*n = 0. Calculate n.
-1, 1, 2, 13
Let w(m) be the first derivative of 0*m - 1/3*m**3 + 3/2*m**2 + 20. Let n(p) = 2*p**2 - 6*p. Let a(b) = -6*n(b) - 13*w(b). Factor a(c).
c*(c - 3)
Let s = 3854411/17 - 226813. Let f = 10367/51 + s. Solve -433/3*d**2 + 281/3*d**3 - f*d**5 + 80/3*d + 437/3*d**4 - 4/3 = 0.
-1, 2/19, 1
Let m be (27231/(-203))/(1/5). Let n = m - -675. Let -36/7 + 30/7*j**3 - n*j + 6/7*j**4 + 30/7*j**2 = 0. Calculate j.
-3, -2, -1, 1
Let m(c) be the second derivative of -c**6/150 + 4*c**5/25 + 2*c**4/3 - 32*c**3/15 - 72*c**2/5 + 13781*c. Factor m(b).
-(b - 18)*(b - 2)*(b + 2)**2/5
Let v = -89 - -120. Suppose -6*r - v = -7*r. Factor r + p**3 - 27 + p**3 + 2*p**2 - 6*p**2 - 2*p.
2*(p - 2)*(p - 1)*(p + 1)
Let r(c) be the first derivative of -c**6/180 - c**5/30 - c**4/18 + 2*c**2 - 11*c - 60. Let h(j) be the second derivative of r(j). What is u in h(u) = 0?
-2, -1, 0
Let i be (1*(-27)/12)/((-27)/59544). Factor 20*w**3 - 4 - 4926*w**2 + 4 - 8*w + i*w**2.
4*w*(w + 2)*(5*w - 1)
Let v be 3 + (-740)/260 - (-23)/104. Solve v*c**3 - 1/8 + 5/8*c**2 + 1/8*c = 0.
-1, 1/3
Let x(j) = 24*j - 102. Let y be x(5). Suppose -y*a - 5 + 5 = 0. Determine i so that 18/7*i**2 - 18/7*i**4 + 3/7*i - 3/7*i**3 + a = 0.
-1, -1/6, 0, 1
Let c be 4/6 + (-15)/(-5) + -3. Let -1/6*d**3 - 5/6*d - c*d**2 - 1/3 = 0. What is d?
-2, -1
Factor 2/5*y**5 - 62/5*y**2 + 0*y - 58/5*y**4 + 0 - 122/5*y**3.
2*y**2*(y - 31)*(y + 1)**2/5
Let r be ((-11)/(-22))/(4/(-144)). Let l(v) = v + 1. Let i(z) = 3*z**2 + 132*z + 18. Let q(w) = r*l(w) + i(w). Factor q(u).
3*u*(u + 38)
Let q = 109676 + -109673. Factor 0*t + 4/5*t**4 - 1/5*t**q + 0*t**2 + 0.
t**3*(4*t - 1)/5
Let v(c) = 5*c**3 - 195*c**2 + 1080*c - 895. Let d(n) = -3*n**3 + 98*n**2 - 541*n + 448. Let o(y) = 5*d(y) + 2*v(y). What is l in o(l) = 0?
1, 9, 10
Find l, given that -21812*l**3 - 11856*l + 3322*l**4 + 55714*l**3 + 4752 - 2947*l**4 + 40198*l**3 - 29760*l**2 = 0.
-198, -2/5, 2/5
Suppose -358 = -u - m - 368, 4*u = m + 25. Let 0 - 18/7*b + 12/7*b**2 - 2/7*b**u = 0. Calculate b.
0, 3
Let t(w) be the first derivative of -w**5/10 - 5*w**4/3 - 25*w**3/3 - 86*w - 57. Let l(d) be the first derivative of t(d). Let l(h) = 0. Calculate h.
-5, 0
Let t = -212 + 206. Let j be 9/7 + t - -5. Factor 0 + 10/7*p**2 + 4/7*p + 8/7*p**3 + j*p**4.
2*p*(p + 1)**2*(p + 2)/7
Let d be (220/33*((-4)/2)/16)/(4240/(-13568)). Factor 8/3 + 2/3*n - 2/3*n**3 - d*n**2.
-2*(n - 1)*(n + 1)*(n + 4)/3
Factor -8/3*b**2 + 6*b - 2/9*b**3 - 28/9.
-2*(b - 1)**2*(b + 14)/9
Determine g so that 234 + 6*g + 152*g - 370*g - 72*g**2 + 3*g**3 + 47*g = 0.
-3, 1, 26
Factor -152/7*z - 13/7*z**2 + 1/7*z**3 - 48.
(z - 21)*(z + 4)**2/7
Let p(w) = -3*w**4 - 3*w**3 + 11*w**2 + w - 10. Let x(n) = 3*n**3 - n**2 - 2*n + 2. Let h(g) = p(g) + 2*x(g). Factor h(b).
-3*(b - 2)*(b - 1)*(b + 1)**2
Suppose -5*k + 66 = k. Factor q**3 - 4*q**2 - 24 - k*q + 74 - 34 - 22.
(q - 6)*(q + 1)**2
Let k be (-2552)/(-58) - 2625/60. Find b such that -b - 8 - k*b**4 + 6*b**2 - 5/4*b**3 = 0.
-8, -1, 2
Suppose 0 = p + 15 - 6, 2*j + 65*p - 64*p = -5. Suppose 8/3*t**3 + 2/3*t**4 - 12*t + 0 - j*t**2 = 0. Calculate t.
-3, 0, 2
Factor -23/5*u + 47/5*u**2 - 5*u**3 + 0 + 1/5*u**4.
u*(u - 23)*(u - 1)**2/5
Let h(u) be the second derivative of 2*u**7/105 + 23*u**6/90 - u**5/5 + u**3/6 - 5*u**2 + 6*u - 2. Let v(r) be the second derivative of h(r). Factor v(b).
4*b*(b + 6)*(4*b - 1)
Find d, given that -2*d**3 + 2*d**2 - 54*d - 220 + 5*d**2 + 6*d**3 - d + 270 = 0.
-5, 5/4, 2
Let h be -5*(-16)/20 - (-7 + 3). Let d be -3 + h + (-221)/52. Suppose 0 + 0*q + 3*q**2 + d*q**4 + 3*q**3 = 0. What is q?
-2, 0
Let m(b) be the first derivative of -1/6*b**4 - 34/63*b**3 - 17/21*b**2 - 2/105*b**5 - 4/7*b - 26. What is z in m(z) = 0?
-3, -2, -1
Let y = -3303 + 29812/9. Let x = y - 64/9. Factor -x*q**2 + 2/3*q + 0.
-q*(7*q - 2)/3
Let k be (9 - 5)/8 - 1718/(-4). Factor o**3 + 222 + 5*o - k + 220 - 6*o**2.
(o - 4)*(o - 3)*(o + 1)
Let l(u) be the second derivative of -5*u**4/12 + u**3 + u**2 + 316*u. Let z be l(0). Factor 0*t**3 - 2/21*t**4 - 16/21*t + 4/7*t**z + 2/7.
-2*(t - 1)**3*(t + 3)/21
Suppose -97 = 18*n - 151. Find m, given that 6*m**3 - 154 + 74 - 3*m**2 + 80 - 6*m + n*m**4 + 0*m**3 = 0.
-2, -1, 0, 1
Let p be (-2 + 13 - -1)*(-5 + (2340/80 - 24)). Factor -3*i**p + 52/3*i**2 - 23*i - 6.
-(i - 3)**2*(9*i + 2)/3
Let k be (-5)/10*(2809/(-11) + 1). Let u = k - 127. Solve 6/11*g + 2/11*g**3 + 6/11*g**2 + u = 0.
-1
Let b(w) = w - 8. Let f be b(10). Let r be ((-8)/(-6))/((f - -17) + -17). Let -r*x**2 + 0*x + 2/3 = 0. What is x?
-1, 1
Let t(n) = n**3 + 34*n**2 - n - 100. Let v be t(-34). Let p be 2/(6 - -1 - v/(-88)). Suppose -2/25*o**2 + 2/25*o**3 + p - 8/25*o = 0. What is o?
-2, 1, 2
Let j = -635/221 - -5441/663. Factor 4*a + 0 - j*a**2 + 4/3*a**3.
4*a*(a - 3)*(a - 1)/3
Determine z, given that 178*z - z**2 + 45518 + 133*z - 45828 = 0.
1, 310
Let c be -1*((-1 + -3 + 4)/(-2))/(-2). Factor 6/11*f**2 - 2/11*f**4 + 36/11*f - 8/11*f**3 + c.
-2*f*(f - 2)*(f + 3)**2/11
Let t = 1297562/5 + -259512. Factor -2/5*w**4 + 2/5*w**5 - 4/5*w**3 + 2/5*w - t + 4/5*w**2.
2*(w - 1)**3*(w + 1)**2/5
Find s such that 31/6*s**2 + 1/6*s**3 + 28/3 + 43/