5*g**2 - 49*g.
-g*(g + 245)/5
Let a = -50713 + 50713. Factor a + 1/6*x**3 - 1/6*x**2 + 0*x.
x**2*(x - 1)/6
Let r(w) be the first derivative of 4*w**5/5 + 175*w**4 + 232*w**3 + 941. Factor r(p).
4*p**2*(p + 1)*(p + 174)
Let c(h) be the second derivative of 3*h**3 + 4*h**2 - 3/10*h**5 - 8*h - 8 - 5/3*h**4. Factor c(r).
-2*(r - 1)*(r + 4)*(3*r + 1)
Let a(l) be the first derivative of 2*l**5/15 + 41*l**4/3 - 170*l**3/9 - 166*l**2/3 - 4864. Determine c, given that a(c) = 0.
-83, -1, 0, 2
Determine x, given that 15*x**3 - 36*x + 19*x**3 + 36*x**2 - 59*x**3 + 20*x**3 = 0.
0, 6/5, 6
Suppose 51/2*b + 1/4*b**2 - 52 = 0. Calculate b.
-104, 2
Let f(c) be the third derivative of -39*c**2 + 0 - 1/150*c**5 + 0*c**4 + 3/5*c**3 + 0*c. Factor f(i).
-2*(i - 3)*(i + 3)/5
Let j be ((-30)/20)/((-6)/8). Factor -958*v**2 + 8232 - 6468*v - 123*v**3 - 68*v**2 - 3*v**4 - 906*v**j + 294*v**2.
-3*(v - 1)*(v + 14)**3
Let c(x) be the second derivative of 2*x**7/147 - 464*x**6/5 + 1271592*x**5/5 - 344177568*x**4 + 209604138912*x**3 + 1420*x. Suppose c(m) = 0. What is m?
0, 1218
Let f = -89 + 103. Factor -5*t**2 + t**5 - 10*t**3 - 16*t + 7*t**3 + f*t + t**4.
t*(t - 2)*(t + 1)**3
Let r(h) be the second derivative of 12/5*h**2 + 0 - 91*h - 9/10*h**4 - 16/5*h**3. Factor r(z).
-6*(z + 2)*(9*z - 2)/5
Suppose 4*s = -3*x + 14, 4*x - 2 = 28*s - 30*s. Factor -20*m**2 + s - 2 + 27*m + 7*m**2 - 4*m**2 - 13*m**2.
-3*(m - 1)*(10*m + 1)
Let f(n) be the second derivative of -n**6/40 + 3*n**4/8 - n**3 - 32*n**2 + 44*n + 2. Let h(u) be the first derivative of f(u). Factor h(t).
-3*(t - 1)**2*(t + 2)
Let p(h) be the third derivative of h**7/70 - 3*h**6/20 - 18*h**5/5 + 132*h**2 - 1. Factor p(n).
3*n**2*(n - 12)*(n + 6)
Let f be (13 - (-1342)/(-99))/(40/(-540)). Find j such that -1/2*j**3 + f*j**2 + 17*j + 0 = 0.
-2, 0, 17
Let d = -12682/25 - -25389/50. Factor 5/2*c**3 + d*c**4 - 7*c**2 + 0*c + 0.
c**2*(c - 2)*(c + 7)/2
Let u(w) be the first derivative of 2*w**2 - 19 - 40/9*w + 4/27*w**3. Factor u(n).
4*(n - 1)*(n + 10)/9
Suppose 12*j = 272 - 224. Suppose 3*w - 188 = 4*i, 5*w - 89 = 5*i + 221. Factor 5*k**j + 23*k + 7*k**3 + 23*k**3 + 17*k + w*k**2.
5*k*(k + 2)**3
Let c(j) be the first derivative of j**5/5 - 2*j**4/3 - 2*j**3/3 + 4*j**2 + 9*j + 9. Let m(l) be the first derivative of c(l). Factor m(s).
4*(s - 2)*(s - 1)*(s + 1)
Determine t so that 2*t**2 - 1720*t - 18*t**2 + 28*t**2 - 10*t**2 = 0.
0, 860
Let i(c) be the second derivative of c**4/30 + 52*c**3/15 + 999*c. Factor i(g).
2*g*(g + 52)/5
Suppose p + 4*q - 75 = -5, -4*p = 4*q - 232. Suppose p*x = 47*x. Determine c so that -3/2*c**4 + x + 3/2*c**2 + 3/2*c**3 - 3/2*c = 0.
-1, 0, 1
Let c be 7 - (-11 + 0 + (-6348)/(-368)). Factor -1 - 1/4*a**3 + c*a**2 + 0*a.
-(a - 2)**2*(a + 1)/4
Let a(s) be the third derivative of s**8/4032 + s**7/144 + 7*s**5/4 - 103*s**2. Let b(n) be the third derivative of a(n). Find z, given that b(z) = 0.
-7, 0
Let y(a) be the first derivative of 2*a**3/45 + 26*a**2/3 + 512*a/15 - 19. Factor y(v).
2*(v + 2)*(v + 128)/15
Factor -5/6*l - 5/2*l**2 + 5/2 + 5/6*l**3.
5*(l - 3)*(l - 1)*(l + 1)/6
Let t be 12/(-16)*-2 + 22/(-4). Let y(l) = 7*l**2 - 10*l - 8. Let i be y(t). Let -76*w - 64*w**2 - 4*w**5 - 152*w**2 - i*w**3 - 40*w**4 - 32*w = 0. What is w?
-3, -1, 0
Let u(c) be the first derivative of 20*c**3/21 - 788*c**2/7 - 316*c/7 - 2196. Factor u(f).
4*(f - 79)*(5*f + 1)/7
Let b(s) be the first derivative of -2*s**3/3 + 39*s**2 - 448*s - 740. Determine c, given that b(c) = 0.
7, 32
Let h = -33 - -36. Let -140*z - 60*z**h + 88 - 178 + 150*z**2 + 135 + 5*z**4 = 0. What is z?
1, 9
Let g be -28 + (87400/133)/23. Let 0 - 2/7*z**3 - g*z**2 + 2/7*z**5 + 4/7*z**4 + 0*z = 0. What is z?
-2, -1, 0, 1
Let f(m) be the second derivative of -m**5/20 - 5*m**4/6 - 13*m**3/6 - 2*m**2 + 15*m - 3. Let h(p) = -p**3 + 2*p + 1. Let l(d) = f(d) + 4*h(d). Factor l(t).
-5*t*(t + 1)**2
Let y(a) be the third derivative of 47*a**5/60 + a**4/24 + a**3/3 + 13*a**2. Let r be y(-1). Factor -23 - r*p**2 - 128*p + 41*p**3 - 9 - 9*p**3 + 14*p**4.
2*(p - 2)*(p + 2)**2*(7*p + 2)
Let l(x) = x**3 + 11*x**2 + 6*x + 85. Let d be l(-11). Suppose -5*c + 4*i + 15 = -i, 5*c = i + d. Factor 72/11*q**2 + 2/11*q**c - 128/11 + 32/11*q + 2*q**3.
2*(q - 1)*(q + 4)**3/11
Let i(a) be the third derivative of a**6/360 - a**5/120 - a**4/12 - 95*a**3/6 - 32*a**2 - 3*a. Let d(p) be the first derivative of i(p). Factor d(q).
(q - 2)*(q + 1)
Let h(j) = -2*j**4 + 4*j**3 - 12*j**2 + 9*j - 36. Let z(y) = y**4 - y**3 + 6*y**2 - 4*y + 16. Let v(p) = -4*h(p) - 9*z(p). Factor v(b).
-b**2*(b + 1)*(b + 6)
Suppose 3*x - 195 = 8*x. Let h = x + 43. Factor 5*v**3 + 0*v**3 - 10*v**h + 6*v**5 - 3*v**5 + 2*v**5.
5*v**3*(v - 1)**2
Suppose -198*z + 522 = -24*z. Let q(r) be the first derivative of -1/24*r**6 + 21 + 1/2*r - 1/10*r**5 + 2/3*r**z + 7/8*r**2 + 1/8*r**4. Let q(l) = 0. What is l?
-1, 2
Let m(q) be the third derivative of q**8/30240 - q**7/5040 - q**6/1080 - q**5/60 - 49*q**3/6 + 60*q**2. Let f(y) be the third derivative of m(y). Factor f(j).
(j - 2)*(2*j + 1)/3
Let h(v) be the first derivative of v**6/3 - 268*v**5/55 - 142*v**4/11 + 112*v**3/33 + 3935. Suppose h(b) = 0. What is b?
-2, 0, 2/11, 14
Let y(x) be the first derivative of 5*x**4/4 + 65*x**3 - 5*x**2/2 - 195*x - 2274. Factor y(v).
5*(v - 1)*(v + 1)*(v + 39)
Let j(z) be the second derivative of 11*z + 4/27*z**6 - 31/27*z**4 - 4/189*z**7 + 7 - 4/3*z**2 - 53/27*z**3 + 1/30*z**5. Let j(f) = 0. What is f?
-1, -1/2, 3, 4
Suppose 7*k - 3*k + c - 7 = 0, -2*c + 9 = 3*k. Suppose 4*r + k = s + 11, 3*r + s - 4 = 0. Factor -1/3*i + 0 + 1/2*i**r + 5/6*i**3.
i*(i + 1)*(5*i - 2)/6
Let o(h) = -25*h**3 + 49*h**2 + 166*h - 202. Let u(x) = 104*x**3 - 196*x**2 - 665*x + 807. Let r(f) = 25*o(f) + 6*u(f). Factor r(t).
-(t - 52)*(t - 1)*(t + 4)
Let b(q) be the first derivative of 4*q**3/15 - 1938*q**2/5 + 3872*q/5 + 7662. Determine c so that b(c) = 0.
1, 968
Let y be 0*(8 - (-300)/(-36)). Let p(i) be the third derivative of -i**3 + 5/16*i**4 - 1/40*i**5 - 7*i**2 + y*i + 0. Find r, given that p(r) = 0.
1, 4
Let s(j) be the second derivative of -2*j**7/21 + 33*j**6/5 + 51*j**5/10 - 25*j**4/3 - 86*j + 3. Find t, given that s(t) = 0.
-1, 0, 1/2, 50
What is f in 20*f**2 + 24*f**2 - 91*f**2 + 285*f + 50*f**2 - 1188 = 0?
-99, 4
Let j be ((-78)/(-12) - 6)*-6. Let a be 42/56*(-4)/45*j. Solve -2/5*u**2 - a - 3/5*u = 0 for u.
-1, -1/2
Suppose -k + 13 = -2*w, 5*k = -31*w + 26*w - 10. Let f(x) be the first derivative of -1/6*x**4 - 27 + 10/9*x**k - x**2 - 6*x. Determine s so that f(s) = 0.
-1, 3
What is s in 2/3*s**2 - 76/3 - 74/3*s = 0?
-1, 38
Let x(m) = -7*m + 3. Let u(h) = -h**3 + 4*h**2 + 49*h - 21. Let z(f) = 3*u(f) + 21*x(f). Suppose z(k) = 0. What is k?
0, 4
Let x = 378 + -347. Suppose 0 = x*g - 34*g + 9. Suppose 2/7*s**5 + 2*s**4 + 10/7*s**2 + 22/7*s**g + 0 + 0*s = 0. What is s?
-5, -1, 0
Let w(d) be the first derivative of d**4/4 + d**2/2 - 2*d - 50. Let l(x) = 4*x**3 - x**2 + 2*x - 7. Let c(r) = 4*l(r) - 14*w(r). Suppose c(b) = 0. Calculate b.
-1, 0, 3
Suppose -4*y + 2*t + 28 = 4*t, 3*y - 16 = -4*t. Suppose -50*j = -54*j + y. Factor 5*r**2 - r**j - 9*r**2 + 5.
-5*(r - 1)*(r + 1)
Let g(t) be the first derivative of t**5 + 172*t**4/3 + 3026*t**3/3 + 1156*t**2 - 215*t + 148. Let n(z) be the first derivative of g(z). Solve n(o) = 0 for o.
-17, -2/5
Let 0 + 1/2*n**2 + 379/2*n = 0. Calculate n.
-379, 0
Suppose 10*q - 240 = -55*q - 55*q. Let a(i) be the first derivative of 2 + 0*i - 1/30*i**4 + 0*i**3 - 1/45*i**6 - 4/75*i**5 + 0*i**q. Factor a(y).
-2*y**3*(y + 1)**2/15
Factor -1160*m**3 + 3 + 1162*m**3 - 344*m**2 - 3.
2*m**2*(m - 172)
Factor 34/9*v**3 + 1/9*v**4 + 0 + 65/9*v**2 + 32/9*v.
v*(v + 1)**2*(v + 32)/9
Suppose 5*s + 3*o = 30, -5*s - o + 34 - 14 = 0. Solve -4*l**5 + 9*l**s + 17*l**2 + 99*l + l**5 + 110*l - 215*l - 17*l**4 = 0 for l.
-6, -1, 0, 1/3, 1
Let f(y) be the first derivative of -y**4 + 64*y**3/3 - 158*y**2 + 480*y + 4286. Factor f(i).
-4*(i - 8)*(i - 5)*(i - 3)
Let d be (2 + 2/(-4))/((-123)/(-246)). Suppose 0 = -b + 4*g + 22, 2*g = d*b + 7*g + 19. Factor 3/2*f + 0 + 3/4*f**3 + 9/4*f**b.
3*f*(f + 1)*(f + 2)/4
Let i = 589 + -587. Factor 0 - 3*v**2 - 3*v + 0*v**i + 1 - 1.
-3*v*(v + 1)
Suppose 23*a = 10982 - 1253. Let r = 428 - a. What is g in 3*g*