 + 2 + 371*v + a*v - 752*v.
-4*(v + 1)**2
Let d(h) = -3*h**2 - 49*h - 12. Let g be d(-16). Factor -6*u**3 - g*u**4 + 16*u**2 + 94*u + 3*u**5 - u**5 - 52*u - 50*u.
2*u*(u - 2)*(u - 1)**2*(u + 2)
Let c(p) be the first derivative of -4*p**4 - 1072*p**3/3 - 2530*p**2 - 6200*p + 6555. Factor c(g).
-4*(g + 62)*(2*g + 5)**2
Suppose q = -o + 498, 132 = -3*o - q + 1618. Let y = o - 4442/9. Factor -y*t + 4/9*t**2 - 8/9.
4*(t - 2)*(t + 1)/9
Let p(a) be the third derivative of -a**6/780 - 2*a**5/195 + 33*a**4/13 - 466*a**2 - 5. Solve p(h) = 0 for h.
-22, 0, 18
Let w(h) be the second derivative of h**5/10 + 511*h**4/3 - 2047*h**3/3 + 1024*h**2 - 4211*h. Solve w(s) = 0 for s.
-1024, 1
Let a(r) be the second derivative of r**6/135 + 7*r**5/6 - 107*r**4/18 + 323*r**3/27 - 12*r**2 + 144*r - 1. Suppose a(b) = 0. What is b?
-108, 1
Let n = 1298 + -1285. Let u(b) be the first derivative of -n - 8/3*b**2 - 32/3*b - 2/9*b**3. Determine d so that u(d) = 0.
-4
Let m(x) be the first derivative of -6*x + 1/10*x**5 + 0*x**2 - 5/6*x**4 + 0*x**3 - 24. Let b(l) be the first derivative of m(l). Factor b(o).
2*o**2*(o - 5)
Suppose 8*u + 5 = 21. Suppose 4*l = -2*x + u, 4*x + 15 = l + 1. Factor 1/5*i**l - 4/5*i + 0.
i*(i - 4)/5
Suppose -49*l - 35*l + 21*l = 0. Factor l + 10/17*u - 2/17*u**2.
-2*u*(u - 5)/17
Let u(i) = -i + 2. Let g be u(11). Let p be 12/g*(-6)/(-4) - -6. Factor -13 + 2*r**2 - r**p + 4 + 8.
-(r - 1)**2*(r + 1)**2
Suppose -12 = -3*q + 8*q - 11*q. Let d(y) be the first derivative of 9/4*y**4 + q - 18*y**2 + 24*y - 3/5*y**5 + 2*y**3. Find b, given that d(b) = 0.
-2, 1, 2
Suppose f + 0 - 4 = 0. Let c be ((9 - 1)/f)/((-3)/(-6)). Let 16*o**c - 4*o - 12*o + 52*o**3 - 44*o**2 - 8*o**2 = 0. Calculate o.
-4, -1/4, 0, 1
Let y be 3/(-15)*(27 + -27). Let l(v) be the second derivative of 0*v**2 + 1/21*v**4 - 2/105*v**6 + y + 15*v - 1/35*v**5 + 2/21*v**3. Solve l(g) = 0 for g.
-1, 0, 1
Let p(c) be the third derivative of -25*c**8/672 - 13*c**7/28 + 51*c**6/40 + 83*c**5/30 + 3*c**4/2 + 146*c**2 - 13*c. Solve p(k) = 0 for k.
-9, -2/5, 0, 2
Let k = 162 - 160. Let 8*c**4 - 44*c**2 - 45*c**3 + 7 + 6*c + k*c**5 + 29 + 37*c**3 = 0. Calculate c.
-3, -1, 1, 2
Let d(w) = -259*w + 1556. Let t be d(6). Factor 5/3*q**4 - 5/3*q**t + 0 - 5/3*q**3 + 5/3*q.
5*q*(q - 1)**2*(q + 1)/3
Let g = -30 - 9. Let y = g - -42. Factor 10*b**2 + 303*b**4 - 298*b**4 - 18*b**3 - 2*b**y - 15 + 20*b.
5*(b - 3)*(b - 1)**2*(b + 1)
Let s(f) be the first derivative of 0*f + 0*f**2 - 2/9*f**4 - 2/45*f**5 - 2/9*f**3 + 78. Factor s(b).
-2*b**2*(b + 1)*(b + 3)/9
Let d(p) be the first derivative of p**6/2 + 3*p**5 + 27*p**4/4 + 7*p**3 + 3*p**2 - 709. Factor d(f).
3*f*(f + 1)**3*(f + 2)
Suppose -2200*g + 1200 + 3200 = 0. Find t such that -3267/7 - 198/7*t - 3/7*t**g = 0.
-33
Let s(d) be the second derivative of 5*d**4/48 - 5*d**3/8 - 135*d**2/4 - 1307*d. What is l in s(l) = 0?
-6, 9
Factor -5704 + 1098*a**3 + 48*a**2 + 1754*a**3 - 8564*a + 4*a**4 + 54*a**2 + 45*a**2 - 159*a**2.
4*(a - 2)*(a + 1)**2*(a + 713)
Let n(u) be the second derivative of -u**4/18 - 12*u**3 + 109*u**2/3 + 3*u + 119. Factor n(t).
-2*(t - 1)*(t + 109)/3
Suppose -2*p = -23988*h + 23985*h - 52, 0 = -3*p - h + 1. Find j such that -2/5*j**3 + 38/5*j**4 + 8/5 - 46/5*j**2 - 14/5*j**p + 16/5*j = 0.
-1, -2/7, 1, 2
Let c(u) = -76*u + 1599. Let b be c(21). Factor 2*d**2 + 1/3*d**b + 3*d + 4/3.
(d + 1)**2*(d + 4)/3
Let j(x) be the second derivative of -x**6/360 + 47*x**5/120 + 136*x**3/3 - 13*x + 2. Let m(k) be the second derivative of j(k). Factor m(b).
-b*(b - 47)
Let c(z) be the third derivative of -z**7/210 - z**6/120 + z**5/60 + z**4/24 + 413*z**2. Determine b so that c(b) = 0.
-1, 0, 1
Let r(j) be the third derivative of j**5/120 + 79*j**4/3 + 99856*j**3/3 - 1815*j**2. Find g, given that r(g) = 0.
-632
Let a(m) be the second derivative of 17/4*m**3 + 3/2*m**2 - 48*m + 7/2*m**4 + 0 + 39/40*m**5. Determine j so that a(j) = 0.
-1, -2/13
Let p(l) be the third derivative of -l**5/60 - l**4/2 - 9*l**3/2 - 119*l**2 - 27*l. Factor p(n).
-(n + 3)*(n + 9)
Let b(z) be the first derivative of -3*z**5/5 - 975*z**4/2 - 1186. Factor b(u).
-3*u**3*(u + 650)
Suppose -1710*t**3 - 11*t**4 - 880*t - 4460*t**2 + 326*t - 514*t**3 + 15*t**4 - 1678*t = 0. Calculate t.
-1, 0, 558
Let h = 36 - 25. Let v = -21 - -23. Suppose -3*c**3 - 19 - 9*c**2 - h*c - 13*c + 3 + v*c**3 = 0. Calculate c.
-4, -1
Let d be (7248/3640 + -2)/(4/(-90)). Let l = d + 1002/455. Factor -2/5*v**3 - 12/5 - l*v**2 - 22/5*v.
-2*(v + 1)*(v + 2)*(v + 3)/5
Let l be (-2 - (-21)/(-3))*5. Let z = l - -69. Factor -z*n**2 + 2*n - 5*n + 10*n**3 - 12*n**5 - 58*n**3 - n - 40*n**4.
-4*n*(n + 1)**3*(3*n + 1)
Let i(k) be the second derivative of 2*k**6/285 - 31*k**5/38 + 2*k**4 + k**3/57 - 4*k**2 + 2441*k. Solve i(c) = 0.
-1/2, 1, 76
Factor -444*z - 4/7*z**2 + 0.
-4*z*(z + 777)/7
Factor -161/3*y**2 + 0 + 0*y + 1/6*y**3.
y**2*(y - 322)/6
Let w(b) = -16*b**4 - 120*b**3 + 1682*b**2 + 1800*b. Let l(n) = -25*n**4 - 121*n**3 + 1683*n**2 + 1800*n. Let j(m) = -2*l(m) + 3*w(m). Factor j(p).
2*p*(p - 30)**2*(p + 1)
Suppose 3*n + 3*d + 101 = 116, 2*n - d = 7. Let j(v) be the first derivative of -16/3*v - 39 - n*v**2 - 1/12*v**4 - v**3. Suppose j(y) = 0. What is y?
-4, -1
Let z(s) = -14*s**2 - 95*s - 1628. Let v(l) = 76*l**2 + 472*l + 8140. Let x(q) = 3*v(q) + 16*z(q). Factor x(t).
4*(t - 37)*(t + 11)
Suppose -2*x = -4*z - z + 161337, -5*x + 32289 = z. Let d be z/92 - (-3)/(-4). Factor -4*u**2 + 0*u - d + 4*u + 354 - 4*u**3.
-4*(u - 1)*(u + 1)**2
Let g be (-5 + 846/170)*(8 + (-78)/6). Factor 0*d + 6/17*d**2 - 8/17 - g*d**3.
-2*(d - 2)**2*(d + 1)/17
Let w(m) be the third derivative of 3*m**6/55 + 217*m**5/330 + 49*m**4/22 + 8*m**3/33 + 309*m**2. Let w(s) = 0. Calculate s.
-4, -2, -1/36
Let w(u) be the third derivative of -u**6/90 + u**5/30 + u**4/3 - 101*u**3/6 + 58*u**2. Let g(v) be the first derivative of w(v). Factor g(q).
-4*(q - 2)*(q + 1)
Determine i, given that 622/5*i**2 + 6/5*i + 0 = 0.
-3/311, 0
Let n(j) = -3*j**3 - 4*j**2 - 10*j - 19. Let u be n(-3). Let d be ((u/(-49))/(-4))/2. Factor -1/7*z**4 + 4/7*z**3 - 6/7*z**2 + 4/7*z - d.
-(z - 1)**4/7
Let g(r) be the first derivative of -87/10*r**2 + 1/20*r**4 - 44/5*r - 14/5*r**3 + 144. Factor g(q).
(q - 44)*(q + 1)**2/5
Find t such that 52582*t - 856*t**2 + 7/2*t**3 - 29768 = 0.
4/7, 122
Let y be ((-15)/(-75))/(2/10). Let s be y + -4 - -3 - -4. Factor -s*b**2 - 608 + 27*b + 53*b + 208.
-4*(b - 10)**2
Let d = -2325 - -2328. Let m(a) be the second derivative of 3*a**3 - d*a + 0 - 2*a**2 - 2*a**4 + 1/2*a**5. Find r, given that m(r) = 0.
2/5, 1
Let p be 328/41 - (-108)/(-14). Let q = -43/13 - -535/91. Factor -12/7*c - p - q*c**2.
-2*(3*c + 1)**2/7
Suppose -475*o - 640 = -1066 - 999. What is g in 3/8*g**4 + 3/2*g**o + 9/8*g**2 + 0 + 0*g = 0?
-3, -1, 0
Let g = 3655 + -54823/15. Let m(w) be the first derivative of 7/30*w**4 + 0*w + 9 + 1/45*w**6 + 0*w**2 - g*w**5 - 2/15*w**3. Factor m(a).
2*a**2*(a - 3)*(a - 1)**2/15
Let d(m) be the second derivative of -m**4/48 + 2459*m**3/24 + 9478*m. Factor d(b).
-b*(b - 2459)/4
Suppose -1004*q + 57*q = -81*q. What is z in q*z - z**3 + 1/4*z**4 + 3/4*z**2 + 0 = 0?
0, 1, 3
Let s(d) be the third derivative of -d**8/33600 - 13*d**7/12600 + 131*d**4/24 + 139*d**2. Let x(b) be the second derivative of s(b). Solve x(h) = 0 for h.
-13, 0
Let w = -5618 + 28497/5. Let q = w - 7723/95. Factor -q*z**2 + 2/19*z + 0.
-2*z*(z - 1)/19
Let h(k) = k**3 + 9*k**2 + 5*k - 22. Let f = 13 - 21. Let v be h(f). Factor 184*c**4 - 240*c**3 - 259*c**4 - 207*c**v - 42*c - 12*c.
-3*c*(c + 2)*(5*c + 3)**2
Let m(j) be the first derivative of j**8/336 + 11*j**7/210 + j**6/5 - 3*j**5/5 + 5*j**2/2 + 2*j + 218. Let z(k) be the second derivative of m(k). Factor z(c).
c**2*(c - 1)*(c + 6)**2
Let n be -1 + 3 - (39 + -43). Let u be (-2)/n - ((-25)/(-6) + -6). Find x such that 3*x + 1/4*x**3 - 2 - u*x**2 = 0.
2
Let m(b) be the first derivative of -b**5/110 + b**4/33 + b**3/33 - 2*b**2/11 - 241*b + 48. Let s(a) be the first derivative of m(a). Let s(w) = 0. Calculate w.
-1, 1, 2
Let p(z) be the second derivative of z**5/80 - z**4/4 + 29*z**3/24 + 21*z**2/4 + 2852*z. What is y in p(y) = 0?
-1, 6, 7
Suppose 0 = -21*s + 6*s + 28*s. Let w(d) be the third derivative of -1/36*d**4 + 0*d + 1/1