rivative of 23/2*r**2 + 27/11*r**3 - 36 - 3/22*r**4 + 0*r + 1/330*r**5. Let u(p) be the second derivative of b(p). Factor u(v).
2*(v - 9)**2/11
Let n(g) be the first derivative of -g**4 + 92*g**3 + 1107. Factor n(y).
-4*y**2*(y - 69)
Let t = 59 + -54. Let y be ((-3)/t)/((-4)/20). Solve 20*o - 20*o**3 + 19*o**5 - 14*o**5 - 5*o**y = 0.
-2, -1, 0, 1, 2
Solve -1/3*w**2 + 1123/3 - 374*w = 0 for w.
-1123, 1
Let t(r) be the second derivative of -20*r**7/147 + 61*r**6/35 - 65*r**5/14 - 473*r**4/42 + 5*r**3 + 50*r**2/7 + r + 124. Determine s, given that t(s) = 0.
-1, -1/4, 2/5, 5
Let q(h) = -h**2 + h + 8. Let b = 1687 + -1690. Let o(d) = d**2 - 9. Let t be (-9)/6*2 + -1. Let m(i) = b*o(i) + t*q(i). Factor m(s).
(s - 5)*(s + 1)
Let o = 98 + -80. Suppose 5*b = i - o, 5*i = 5*b + 39 + 11. Suppose -n**2 - 6*n + n**4 + i*n + 4*n**3 + 6*n**2 = 0. Calculate n.
-2, -1, 0
Let l = 1388 + -6938/5. Factor l*k**4 + 4/5*k**3 - 4/5*k + 0*k**2 - 2/5.
2*(k - 1)*(k + 1)**3/5
Let l = -182 - -186. Let a(o) = 57*o - 226. Let h be a(l). Factor -1/4*n**3 + 0 - n - n**h.
-n*(n + 2)**2/4
Let z(q) be the third derivative of 0*q**3 + 5/672*q**8 + 7*q**2 + 0 - 1/60*q**6 + 1/70*q**7 + 9*q - 1/20*q**5 - 1/48*q**4. Solve z(m) = 0.
-1, -1/5, 0, 1
Suppose -194*r = -475*r + 222 + 340. Let 31/4 + 30*l**r + l**3 - 123/4*l = 0. What is l?
-31, 1/2
Let m = 703628 - 2814377/4. Find d such that -m + 3*d**2 - 171/4*d = 0.
-3/4, 15
Suppose 2*p + 3*g - 15 = 0, -4*p - 4*g + 19 = -5. Factor -143 + 138 + 16*l**3 + 20*l - 5*l**4 + 4*l**p - 30*l**2.
-5*(l - 1)**4
Suppose -588*r + 116 = -559*r. Let x(o) be the first derivative of -2/3*o**r - 10 + 4/9*o**3 + 0*o + 0*o**2 - 4/5*o**5. Determine s, given that x(s) = 0.
-1, 0, 1/3
Suppose 97737 = -58*c + 97853. Determine l so that -5/2*l + 25/4 + 1/4*l**c = 0.
5
Let j(m) be the first derivative of m**6/240 - m**5/60 + m**2/2 + 12*m - 60. Let y(d) be the second derivative of j(d). Factor y(h).
h**2*(h - 2)/2
Let x(q) be the second derivative of q**6/1260 - 2*q**5/15 - 22*q**3/3 + 5*q + 3. Let s(l) be the second derivative of x(l). Let s(k) = 0. Calculate k.
0, 56
Suppose 8 = 10*q - 12. Factor -16*k**q - 15*k - 4*k**3 - k + 4*k.
-4*k*(k + 1)*(k + 3)
Suppose 0 = 3*n - 23 + 11. Suppose -n*l = -x + 4, l + 8 = 2*x - 0*l. Find c, given that -21*c**5 + 39*c**4 + 120*c**3 + 16*c**2 + 213*c**x + 119*c**5 = 0.
-2, -2/7, 0
Let d(c) be the first derivative of 11*c**4/2 - 2906*c**3/3 + 48048*c**2 - 8712*c + 7885. Suppose d(k) = 0. What is k?
1/11, 66
Let f(x) be the third derivative of 1/120*x**5 + 1/420*x**7 + 1/80*x**6 + 168*x**2 - 1/6*x**3 + 0 - 1/16*x**4 + 0*x. Factor f(p).
(p - 1)*(p + 1)**2*(p + 2)/2
Suppose -3*v + 0*g - 5*g = 30, 0 = v + 4*g + 10. Let l be v/(-4) - 39/(-26). Factor -10*d**3 + d**3 - 6*d**l + 4*d**2 - 7*d**2.
-3*d**2*(d + 1)*(2*d + 1)
Factor 178711 + a**2 - 179007 + 297*a - 2*a**2.
-(a - 296)*(a - 1)
Let f(j) be the first derivative of 2/3*j**3 - 7/6*j**2 - 50 - 1/30*j**5 - 1/12*j**4 + 5/6*j. Factor f(q).
-(q - 1)**3*(q + 5)/6
Factor 23/2*q - 95/4*q**2 + 1/2*q**3 + 47/4.
(q - 47)*(q - 1)*(2*q + 1)/4
Suppose 152100/7 + 4/7*w**2 - 1560/7*w = 0. Calculate w.
195
Let u(f) be the second derivative of -f**6/480 + 11*f**5/160 + 2*f**3 - 5*f + 6. Let t(s) be the second derivative of u(s). Let t(p) = 0. What is p?
0, 11
Factor 131*t**2 + 629 - 629 + 69*t**2 + 67*t - 3*t**3.
-t*(t - 67)*(3*t + 1)
Let n(z) = -z**3 + z**2 + 10*z - 7. Let m be n(2). Factor -2*o**2 + 3277*o + 1 + m - 3285*o.
-2*(o - 1)*(o + 5)
Let c be -3*(-4)/(-3) - -11. Suppose 2*b + i = -3*i, i = 3*b - c. Suppose -2*m**3 + 19*m**4 + 14*m**4 - 29*m**4 - b*m**5 = 0. What is m?
0, 1
Solve -215469/4*q - 3/4*q**3 + 217083/4 - 1611/4*q**2 = 0 for q.
-269, 1
Let 4/3*j**4 - 700/3 - 38/3*j**3 - 488*j**2 - 2122/3*j = 0. Calculate j.
-14, -1, -1/2, 25
Let a(f) be the second derivative of 45*f + 9*f**3 + 3/2*f**4 + 24*f**2 + 3/40*f**5 + 0. Factor a(y).
3*(y + 2)**2*(y + 8)/2
Let j be ((-84)/10)/(-3 - 98/(-35)). Suppose -j*u + 44*u = 248. What is l in 3*l**2 + 54*l + 61*l - u*l - 12 = 0?
-1, 4
Let 7*t**3 + 624*t**2 - 883*t**4 - 892*t**4 + 165*t**3 + 1779*t**4 = 0. Calculate t.
-39, -4, 0
Determine g so that 15/2*g**5 + 3843*g**2 + 343 + 6125/2*g + 166*g**4 + 1282*g**3 = 0.
-7, -1, -2/15
Let j(h) be the third derivative of -2/3*h**4 + 0*h - h**2 - 1 - 1/5*h**6 - 71/120*h**5 - 3/280*h**7 - 3/8*h**3. Find c, given that j(c) = 0.
-9, -1, -1/3
Let j(p) = 31*p**2 + 5*p - 7. Let d be j(9). Let -4*w + w**3 + d*w**2 - 2551*w**2 + w**3 = 0. What is w?
-1, 0, 2
Let d(h) = 150*h**2 + 570*h - 720. Let u(p) = p**3 - 151*p**2 - 570*p + 720. Let f(l) = -6*d(l) - 5*u(l). Let f(a) = 0. What is a?
-24, -6, 1
Find o, given that 3136/5 + 3361/5*o**2 + 1/5*o**4 + 114/5*o**3 + 6384/5*o = 0.
-56, -1
Suppose 3*p + 12 = -5*q, -28*p - 20 = 5*q - 23*p. Find i, given that q - 3/4*i**2 - 3*i = 0.
-4, 0
Determine o, given that 26*o - 15*o**2 - 32*o**3 + 33*o**2 - 14*o + 2*o**2 = 0.
-3/8, 0, 1
Let q(h) = -12*h**2 - 12846*h - 20659607. Let a(u) = 38*u**2 + 38536*u + 61978824. Let m(t) = -5*a(t) - 16*q(t). Let m(z) = 0. Calculate z.
-3214
Let q(b) be the first derivative of 13*b**3/3 + 159*b**2/2 - 16*b - 158. Let y(x) = 24*x**2 + 317*x - 28. Let v(c) = 7*q(c) - 4*y(c). Solve v(g) = 0 for g.
-31, 0
Let s(r) be the second derivative of -r**4/12 - 475*r**3/6 - 237*r**2 - 782*r + 1. Factor s(p).
-(p + 1)*(p + 474)
Let r(t) be the third derivative of 0*t - 62*t**2 + 0*t**3 - 7/270*t**5 - 1/60*t**6 + 0 + 1/54*t**4. Factor r(k).
-2*k*(k + 1)*(9*k - 2)/9
Let b(u) be the second derivative of u**4/36 + 17*u**3/18 - 10*u**2 + 1317*u + 2. Find x such that b(x) = 0.
-20, 3
Let h be 38/(-1311) + -10 + 5731/138. Solve -1323/4*c**2 + 0 - 3/4*c**4 + h*c**3 + 0*c = 0 for c.
0, 21
Let l(m) = 6*m**2 - 670*m - 4. Let a(d) = 4*d**2 - 668*d - 3. Let b(j) = -4*a(j) + 3*l(j). Suppose b(x) = 0. Calculate x.
-331, 0
Let i be (-4)/16 + 125/20 + -4. Factor 11*o + 88*o**2 + 60*o**2 - 192*o**i - 3*o.
-4*o*(11*o - 2)
Let o(p) = 152*p + 11856. Let k be o(-78). Let b(f) be the second derivative of 4*f - 2/15*f**4 + 1/5*f**2 - 1/30*f**3 - 1/20*f**5 + k. Factor b(h).
-(h + 1)**2*(5*h - 2)/5
Suppose 0*n = j + 5*n - 120, 0 = 3*j - 3*n - 288. Suppose 73*w + j = 93*w. Factor -2/7*m**w + 0*m**4 + 12/7*m**3 - 16/7*m**2 + 0 + 6/7*m.
-2*m*(m - 1)**3*(m + 3)/7
Let n(b) be the second derivative of -b + 0*b**3 + 11 + 1/32*b**4 - 3*b**2. Factor n(t).
3*(t - 4)*(t + 4)/8
Let h be 5/(-2)*(-10)/25. Let w be ((-44)/(-24) - (-5)/30)/h. Determine b so that -3/2 + 21/8*b**3 + 27/8*b**w - 9/2*b = 0.
-2, -2/7, 1
Let p(b) be the third derivative of -2*b**5/15 + 25*b**4/12 - 13*b**3 + 28*b**2 + 7*b. Suppose p(f) = 0. Calculate f.
3, 13/4
Let t(l) = 3*l**5 + 3*l**4 - 49*l**3 - 91*l**2 - 30*l + 5. Let z(f) = f**5 + f**4 - 23*f**3 - 45*f**2 - 18*f + 3. Let a(b) = -3*t(b) + 5*z(b). Factor a(j).
-4*j**2*(j - 3)*(j + 2)**2
Suppose -4*i + g = -4*g - 20, 3*g = 2*i - 10. Suppose -i*z - n = -0*n - 95, 56 = 2*z + 4*n. What is f in -21 + 18*f**2 - 33*f**2 + z*f + 18*f**2 = 0?
-7, 1
Let t(o) = -29*o**2 + 31*o + 46. Let w(x) = -2*x**2 - 14*x**2 - 21*x + 35*x**2 - 30. Let z(p) = -5*t(p) - 7*w(p). Suppose z(u) = 0. What is u?
-1, 5/3
Let s(t) be the second derivative of -t**7/84 + 5*t**6/3 - 2389*t**5/40 - 1003*t**4/4 + 1734*t**3 + t - 695. Let s(g) = 0. Calculate g.
-4, 0, 2, 51
Let c(k) be the second derivative of 53/3*k**3 - 17/6*k**4 - 1 - 6*k**2 + 33*k. Suppose c(f) = 0. What is f?
2/17, 3
Let j(a) = a**3 - 32*a**2 - 108*a + 109. Let t be j(35). Let h = -79/6 + 29/2. Factor 0*u + h*u**2 + 0 - 4/3*u**t + 0*u**3.
-4*u**2*(u - 1)*(u + 1)/3
Suppose 14*i + 96 + 674 = 0. Let z = -53 - i. Factor -2/23 - 4/23*g**z + 6/23*g.
-2*(g - 1)*(2*g - 1)/23
Let 21/5 - 38/5*c + c**2 = 0. What is c?
3/5, 7
Factor 48/7 - 78/7*g**2 + 20/7*g.
-2*(3*g + 2)*(13*g - 12)/7
Suppose 46*z - 51*z + 10 = 0. Factor 28197 + t**2 - 28173 - 2*t**z + 10*t.
-(t - 12)*(t + 2)
Let p(r) be the first derivative of -r**3/3 - 10*r**2 + 419. Factor p(k).
-k*(k + 20)
Let v = -21 - -33. Suppose 4*m = -4*i - m - 3, v = -4*m. Factor i - 10*c - 7*c**2 + 2 + 6*c**2 + 6*c**2.
5*(c - 1)**2
Let r = 184 - 122. Factor -5*f + r*f**2 - 36*f**2 - 24*f**2 - 3.
(f - 3)*(2*f + 1)
Let i(n) = -3*n**2 - 15*n + 2. Let d(j) = -3*j**2 - 14*j + 1. Suppose -17*a = 15 