 third derivative of -7*h**2 + 0*h**4 + 2/735*h**7 + 1/210*h**6 + q + 0*h**3 + 0*h**5 + 0*h. Factor s(y).
4*y**3*(y + 1)/7
Let g(z) be the first derivative of -14/27*z**3 - 4/9*z - 7/9*z**2 - 1/9*z**4 - 10. Factor g(f).
-2*(f + 1)*(f + 2)*(2*f + 1)/9
Let a = 4/63 + 1/21. Let l(u) be the second derivative of 1/30*u**5 - u - 1/3*u**2 - a*u**3 + 0 + 1/18*u**4. Solve l(j) = 0 for j.
-1, 1
Find j such that j**2 + 3*j - 2*j + 12*j + 9*j = 0.
-22, 0
Let p(i) = 6*i**2 - 52*i - 146. Let f(o) = -o**2 + 2*o - 2. Let n(l) = -8*f(l) - p(l). Factor n(x).
2*(x + 9)**2
Let d(z) be the first derivative of 24 - 1/6*z**3 + 1/8*z**4 - 1/4*z**2 + 1/2*z. Factor d(g).
(g - 1)**2*(g + 1)/2
Suppose 226204 = -20*d - 19136. Let j be d/(-189) + (-3)/(-7). Factor -280/3*p**2 + 208/3*p - j*p**3 - 32/3.
-4*(p + 2)*(7*p - 2)**2/3
Let m(k) be the first derivative of -k**7/1260 - k**6/108 - 2*k**5/45 - k**4/9 - 25*k**3/3 + 26. Let y(v) be the third derivative of m(v). Factor y(q).
-2*(q + 1)*(q + 2)**2/3
Let n(c) be the second derivative of c**7/70 - 11*c**6/25 + 363*c**5/100 + 80*c. Let n(s) = 0. What is s?
0, 11
Let l = 55 + -34. Let k be 2*-1*l/(-21). Suppose -1/4*u**4 + 1/4*u**k - 1/4*u**3 + 0 + 1/4*u = 0. Calculate u.
-1, 0, 1
Let u(f) = 4*f**2 + 70*f - 36. Let o be u(-18). Find q, given that 4/3*q + o - 1/3*q**2 = 0.
0, 4
Find h, given that 1098*h**2 + 8640000 + 702*h**2 + 17158*h - 83787*h - 5*h**3 - 149371*h = 0.
120
Solve -206 + 5*d**4 - 10*d**3 + 5*d**3 + 25*d + 196 - 15*d**2 = 0.
-2, 1
Let g = 1793/3 - 597. Let u(t) be the first derivative of 2 - 2*t**4 - g*t**3 + 0*t**2 + 0*t. Suppose u(k) = 0. What is k?
-1/4, 0
Let v**4 + 5*v**3 - 3*v**4 - 42*v**2 - 17*v**3 + 111*v**2 - 55*v**2 = 0. What is v?
-7, 0, 1
Let l be -36*(-9)/540*12. Determine k, given that -2*k**2 - l*k + 16/5 = 0.
-4, 2/5
Let q be 6/(-10) - 12/(-18). Let p(x) be the third derivative of -3*x**2 + 1/150*x**5 + 0 + q*x**3 - 1/30*x**4 + 0*x. Factor p(d).
2*(d - 1)**2/5
Factor -25392*f - 389344 - 4*f**3 + 0*f**3 - 49069*f**2 + 48517*f**2.
-4*(f + 46)**3
Let b be (2 + 1)/6*2. Suppose -b = 2*l - 7. Determine h, given that 8*h**2 - l*h - h**3 - 11*h**2 + 4*h**3 + 3 = 0.
-1, 1
Let h(o) = o + 3. Let b be h(0). Let 23*k**b - 75*k**2 + 240*k + 25*k**3 + 4*k**4 + 100 + 259*k**2 = 0. What is k?
-5, -1
Let c(a) be the second derivative of a**6/200 - 7*a**5/100 + 3*a**4/8 - 9*a**3/10 + 11*a**2/2 - 4*a. Let y(p) be the first derivative of c(p). Factor y(b).
3*(b - 3)**2*(b - 1)/5
Suppose -2*a = -3*a + 12. Factor a*b + 20*b**3 - 12*b**3 + 14*b**2 - 6*b**3.
2*b*(b + 1)*(b + 6)
Let n = 13 - 2. Factor 13*h + h**3 - n*h + 6*h - 4 - 5*h**2.
(h - 2)**2*(h - 1)
Let m(w) be the first derivative of 8*w**5/5 - 3*w**4 + 2*w**2 + 159. Solve m(i) = 0.
-1/2, 0, 1
Suppose 2*j + 2*j - 8 = 0. Let v be (-36)/(-2) + 5250/(-350). Factor 0*n**j + 1/3*n**v - 1/3*n + 0.
n*(n - 1)*(n + 1)/3
Let b be 57/(-11) + 4/22. Let n = b - -5. Factor -14*q**3 - 16*q**4 - q**5 + n*q**2 - 6*q**5 - 4*q**2 + q**5.
-2*q**2*(q + 1)**2*(3*q + 2)
Suppose 0 = 3*m, -9 = -5*q + 5*m + 1. Suppose 2*g - 16 = -3*c, 5 - 15 = -q*g. Factor -1/4 + 1/2*p - 1/4*p**c.
-(p - 1)**2/4
Let o(t) be the second derivative of 20*t + 5/36*t**3 + 1/3*t**2 - 1/8*t**4 + 0. Let o(b) = 0. What is b?
-4/9, 1
Let d(z) be the first derivative of -9*z - 3/2*z**2 + 21 + 3/4*z**4 + 3*z**3. Factor d(l).
3*(l - 1)*(l + 1)*(l + 3)
Suppose v = -v + 2*l + 22, -2*v + 26 = -l. Suppose 5*d = 10*d - v. Solve 6*a**d - 2*a**2 - 3*a + 0*a**2 - 2*a**4 - 4*a**2 + 5*a = 0.
0, 1
Let h(x) be the third derivative of -5*x - 2/25*x**5 + 0 - 8*x**2 - 3/10*x**4 - 1/150*x**6 - 8/15*x**3. Factor h(s).
-4*(s + 1)**2*(s + 4)/5
Let n = 70/97 + 782/1067. Determine j so that 372/11*j**2 - 136/11*j + 98/11*j**4 - 350/11*j**3 + n = 0.
2/7, 1, 2
Let -1/3*n**4 + 1/2*n + 0 + 4/3*n**2 + 1/2*n**3 = 0. Calculate n.
-1, -1/2, 0, 3
Let h(m) be the first derivative of -m**5/25 - 3*m**4/20 + 3*m**3/5 - m**2/2 - 190. Find r, given that h(r) = 0.
-5, 0, 1
Let w(m) be the first derivative of 49*m**5/40 - 63*m**4/32 + 5*m**3/8 - m**2/16 + 154. Determine g, given that w(g) = 0.
0, 1/7, 1
Let y(z) = 2*z**2 + 13*z + 40. Let g be y(-7). What is j in -20*j**2 - 23*j**2 + g*j**2 + 4*j = 0?
-1, 0
Suppose -60*v = -53*v - 21. Let y(m) be the third derivative of 0 + 2/39*m**v + 1/52*m**4 - 9*m**2 + 1/390*m**5 + 0*m. Suppose y(o) = 0. What is o?
-2, -1
Let b(m) = 53*m**3 - 91*m**2 + 19*m + 19. Let n(d) = -26*d - 10*d + 46*d - 46*d**2 + 26*d**3 + 10. Let s(p) = 6*b(p) - 11*n(p). Determine t so that s(t) = 0.
-1/4, 1/2, 1
Suppose 16*m - 15 = 15*m + 2*a, 4*a + 33 = 3*m. Factor 0*h - 2/3*h**2 - 1/3*h**m + 0.
-h**2*(h + 2)/3
Let s(c) be the first derivative of 25*c**4/14 + 20*c**3/3 + 44*c**2/7 + 16*c/7 - 66. Solve s(f) = 0.
-2, -2/5
Let k be (6/4)/((-9)/(-12)). Solve z**3 - 6*z**2 + 3*z**2 + z**k = 0.
0, 2
Suppose 2*z + 88 = s, -3*s + s + 174 = -3*z. Let i = s + -82. Determine h so that 0*h - 2/5*h**i - 2/5*h**3 + 4/5*h**4 + 0 = 0.
-1/2, 0, 1
Let c(v) be the third derivative of -v**8/336 + v**7/42 - 3*v**6/40 + 7*v**5/60 - v**4/12 + 4*v**2 - 6. Factor c(u).
-u*(u - 2)*(u - 1)**3
Let a = -18127/5 + 3628. Suppose a*d - 6/5 + d**2 = 0. Calculate d.
-3, 2/5
Let f(b) be the third derivative of 4*b**2 + 1/105*b**7 + 0*b**4 + 0 - 3/140*b**6 + 0*b + 1/105*b**5 + 0*b**3. Factor f(h).
2*h**2*(h - 1)*(7*h - 2)/7
Let u(c) be the second derivative of -c**4/15 + 3*c**3/10 + 17*c**2/5 + 2*c - 48. Find o such that u(o) = 0.
-2, 17/4
Factor 0*i**2 + 0 + 1/2*i**3 + 1/2*i**5 + 0*i - i**4.
i**3*(i - 1)**2/2
Let c(h) be the second derivative of h**6/360 - h**5/30 + h**4/6 + h**3/6 - h. Let o(t) be the second derivative of c(t). Find j, given that o(j) = 0.
2
Let 0*s - 2/15*s**2 + 6/5*s**4 + 2/3*s**5 + 2/5*s**3 + 0 = 0. What is s?
-1, 0, 1/5
Factor -2/19*v**3 - 1800/19*v - 120/19*v**2 + 0.
-2*v*(v + 30)**2/19
Suppose 4*v - v = -c - 19, 0 = -4*v - 20. Let x be 22/2 - (-5 - c). Factor 7*t**3 - x*t + 22*t**3 - 8*t**3 + 24*t**2 - 15*t**4.
-3*t*(t - 2)*(t + 1)*(5*t - 2)
Let b be (13 + 3)/4 + 13. Solve 16 + 24*w**2 - 15*w - b*w - 8*w**3 - 84*w**4 + 85*w**4 = 0 for w.
2
Let m(o) be the first derivative of -o**3 - 5*o**2/2 + 4*o + 22. Let w(r) = 2*r**2 + 6*r - 6 - 1 + 2. Let f(g) = -3*m(g) - 2*w(g). Factor f(s).
(s + 1)*(5*s - 2)
Suppose 4*j - 30 = -2*j. Solve j*u**2 - 9*u - 7*u**2 - 2*u**3 + 8*u + u**3 = 0 for u.
-1, 0
Let m(s) be the first derivative of -2*s**3/27 - 4*s**2/9 + 111. Factor m(f).
-2*f*(f + 4)/9
Let y be (-2)/(-2) - (0/(-6) + -1). Factor 36*w**y + 366 + 4*w**2 - 5*w**3 - 336 - 65*w.
-5*(w - 6)*(w - 1)**2
Let z(v) be the third derivative of -v**8/1008 + v**7/630 + v**6/120 - v**5/36 + v**4/36 - 2*v**2 - 37*v. Determine n so that z(n) = 0.
-2, 0, 1
Determine y, given that -20*y + 9*y**2 + 156 - 16 + 5*y**3 - 44*y**2 = 0.
-2, 2, 7
Factor -2/9*c + 2/9*c**3 - 8/3*c**2 + 8/3.
2*(c - 12)*(c - 1)*(c + 1)/9
Factor -1176 + 308*o + 53/2*o**2 + 1/2*o**3.
(o - 3)*(o + 28)**2/2
Let f be (1/((-7)/49))/((-7)/2). Factor 8/3*d - 20/3*d**2 + 16/3 + f*d**3.
2*(d - 2)**2*(3*d + 2)/3
Factor 15*t**2 - 76 + 5*t**3 + 182 + 34 - 120*t.
5*(t - 2)**2*(t + 7)
Let q(i) be the first derivative of 24/7*i**2 + 9/7*i + 3/7*i**4 + 5 + 17/7*i**3. Factor q(j).
3*(j + 1)*(j + 3)*(4*j + 1)/7
Let k be ((-35)/3850)/(2/(-4)). Let p(t) be the second derivative of 3*t + 1/165*t**6 + 1/66*t**4 + 0 + 0*t**2 - k*t**5 + 0*t**3. Factor p(c).
2*c**2*(c - 1)**2/11
Let i(b) = -b**2 - 6*b + 2. Let l be i(-6). Factor -x**5 - 16*x**l - 28*x**3 + 5*x**4 - 16 + 24*x**3 + x + 31*x.
-(x - 2)**3*(x - 1)*(x + 2)
Let u be 461/((0 + -2)/(-4)). Let g = u + -234. Solve 1176*j**4 - 96*j**2 - 1029*j**5 + g*j**3 - 24 - 204*j - 306*j**2 - 205*j**3 = 0.
-2/7, 1
Let j be (-6)/78*104/(-4). Suppose -2/7*w + 0 + 0*w**j + 2/7*w**3 = 0. What is w?
-1, 0, 1
Let z(g) be the third derivative of -g**5/360 - 235*g**4/72 - 55225*g**3/36 - 2*g**2 - 554*g. Find m such that z(m) = 0.
-235
Let s = -85/6 - -461/30. Let m(i) = -i**3 - 3*i**2 - i. Let t be m(-3). Let 0*z + 0*z**2 - 3/5*z**t + s*z**4 + 0 - 3/5*z**5 = 0. What is z?
0, 1
Let z be 6/(-9)*1 + (-15)/(-1260)*119. Factor z*s**3 + 7/2*s**2 + 0 + 2*s.
s*(s + 4)*(3*s + 2)/4
Let y be (-28)/16 - -1 - (-1350)/(-8). Let j = -169 - y. Factor 0 + j*t**3 + 3/2*t - 2*t**2.
t*(t - 3)*(t - 1)/2
Let r be