(w + 3)/5
Suppose -6*b + b = -5*y + 5, 0 = -3*y - b + 7. Factor 4/5*x - 6/5 + 2/5*x**y.
2*(x - 1)*(x + 3)/5
Let v(r) be the second derivative of 0*r**3 + 10*r + 1/6*r**6 + 0 + 0*r**5 - 5/12*r**4 + 0*r**2. Factor v(o).
5*o**2*(o - 1)*(o + 1)
Let g be 2/8*(11 + 12/(-4)). Let h(a) = a**2 + 15*a + 14. Let o be h(-14). Factor o*f - 3/7*f**5 + 0*f**4 + 0*f**g + 0 + 0*f**3.
-3*f**5/7
Factor 0*x + 0*x**2 + 0 - 10/7*x**3 - 2/7*x**4.
-2*x**3*(x + 5)/7
Let w(x) be the third derivative of -13*x**2 + 0*x + 1/90*x**5 + 2/9*x**3 - 1/12*x**4 + 0. Factor w(o).
2*(o - 2)*(o - 1)/3
Let m(p) be the third derivative of -p**5/45 + 2*p**4 - 72*p**3 - 2*p**2 + 74*p. Solve m(z) = 0.
18
Let o(h) = 2*h + 15. Let a be o(-6). Factor 0*j**3 + 3*j**4 + 7*j**3 - 4*j - 18*j**a + 12*j**2.
j*(j - 2)*(j - 1)*(3*j - 2)
Let k(i) = 3*i**2 - 18*i + 18. Let m be k(1). Let y(f) be the first derivative of -6 - 4/3*f - 2*f**m + 7/3*f**2 + 5/6*f**4 - 2/15*f**5. Factor y(w).
-2*(w - 2)*(w - 1)**3/3
Let a(i) be the second derivative of -i**6/150 + 3*i**5/50 - 2*i**4/15 + 181*i - 2. Determine f so that a(f) = 0.
0, 2, 4
Let f = 1172/5 + -1166/5. Let a(r) be the first derivative of 4/3*r**3 - r**4 + 2*r + 8 + 3*r**2 - f*r**5 - 1/3*r**6. Factor a(v).
-2*(v - 1)*(v + 1)**4
Let b(n) be the first derivative of -n**5/5 - 3*n**4 - 14*n**3 - 10*n**2 + 75*n - 47. Determine r, given that b(r) = 0.
-5, -3, 1
Find c, given that 0 + 105/4*c**2 - 27/2*c - 3/4*c**4 - 12*c**3 = 0.
-18, 0, 1
Let i be 2/(-48)*(-40)/30. Let t(r) be the third derivative of -3*r**2 + 0 - 1/180*r**5 - 1/6*r**3 + i*r**4 + 0*r. Factor t(p).
-(p - 3)*(p - 1)/3
Factor -80*r - 130 + 145 - 123*r**2 + 148*r**2.
5*(r - 3)*(5*r - 1)
Find a such that 3*a**3 - 6*a + a**5 + 3*a**3 - 12*a**3 + 3*a + 8*a**2 = 0.
-3, 0, 1
Let h(d) be the second derivative of d**7/210 + 7*d**6/150 + d**5/25 - d**4/5 - 8*d + 7. Determine q so that h(q) = 0.
-6, -2, 0, 1
Factor 1083 + 51/2*b**3 + 3/4*b**4 - 969*b + 639/4*b**2.
3*(b - 2)**2*(b + 19)**2/4
Let q(p) be the first derivative of 10*p + 1/2*p**4 - 8 + 11*p**2 + 14/3*p**3. What is x in q(x) = 0?
-5, -1
Let c(m) be the second derivative of m**7/210 - m**6/150 - 9*m**5/100 - 11*m**4/60 - 2*m**3/15 + 381*m. Factor c(k).
k*(k - 4)*(k + 1)**3/5
Let b be (6/5)/(22/(-55)). Let f be (-16)/3 + 5 - 7/b. Find h such that -2/5*h - 2/5*h**f + 0 = 0.
-1, 0
Let i(f) = 6*f + 1. Let n be i(1). Let o(x) = 2*x**2 - 6. Let b be o(-2). What is u in -14*u**4 + u**b - 9*u**3 - n*u**4 + 6 + 18*u**4 - 4*u**2 + 9*u = 0?
-2, -1, 1
Let r(t) be the first derivative of 0*t**2 + 11 + 1/10*t**5 - 1/12*t**6 + 0*t + 5/8*t**4 + 1/2*t**3. Factor r(k).
-k**2*(k - 3)*(k + 1)**2/2
Let v be 24/(-112) + 7/14. Factor -8/7 - 4/7*m**2 + 2*m - v*m**3.
-2*(m - 1)**2*(m + 4)/7
Let h(l) be the first derivative of -l**4 + 172*l**3/21 - 138*l**2/7 + 36*l/7 - 377. Solve h(x) = 0.
1/7, 3
Suppose 0 = 2*y + 2, -4*y = -3*c + y + 11. Factor 5*v**2 + 3*v - 3*v**c + 1 - v**2 - v.
(v + 1)**2
Find y, given that -34/3*y - 4/3 - 32/3*y**3 - 80/3*y**2 = 0.
-2, -1/4
Determine y, given that -18/11*y**4 - 140/11*y + 50/11*y**2 - 32/11 + 140/11*y**3 = 0.
-1, -2/9, 1, 8
Let k(b) = -b**3 - 8*b**2 - 9*b + 5. Let y be k(-7). Factor -f + 40*f**2 + 2*f**4 - y*f + 3*f**4 - 25*f**3.
5*f*(f - 2)**2*(f - 1)
Let a(o) = o**3 - 2*o**2 + o + 2. Let s be (2 + 10/(-4))*-4. Let z be a(s). Factor -9*l + l + 20*l**2 - 4*l**3 - 4*l**4 - z*l.
-4*l*(l - 1)**2*(l + 3)
Let c = 16 - 10. Let g(r) = 6*r**2 + 8*r - 1. Let n(f) = 23*f**2 + 31*f - 5. Suppose 0*u - 15 = 3*u, 120 = -5*k + 2*u. Let z(w) = c*n(w) + k*g(w). Factor z(y).
-2*(y + 1)*(9*y + 2)
Let t(a) = -3*a**2 + a + 1. Let l(g) = g**4 + 17*g**3 + 111*g**2 + 203*g + 123. Let s(n) = -l(n) - 5*t(n). Factor s(p).
-(p + 1)*(p + 4)**2*(p + 8)
What is g in 0 + 14/9*g**4 + 88/9*g**3 + 94/9*g**2 + 20/9*g = 0?
-5, -1, -2/7, 0
Let u(y) be the second derivative of y**4/12 + 2*y**3/3 + 3*y**2/2 - 16*y. Let l be u(-3). Factor 1/3*b**2 + l + 0*b.
b**2/3
Let l = 74 - 74. Let v(m) be the third derivative of l*m**5 + 0 + 0*m**4 + 0*m**3 - 4*m**2 + 1/60*m**6 + 1/105*m**7 + 0*m. Factor v(b).
2*b**3*(b + 1)
Let n(d) be the second derivative of 25/2*d**3 - 5*d**2 + 29/4*d**5 - 55/4*d**4 + 0 + 10*d - 3/2*d**6. Factor n(p).
-5*(p - 1)**3*(9*p - 2)
Let h(n) be the first derivative of 4*n**5/5 - 67*n**4/3 - 772*n**3/9 - 346*n**2/3 - 200*n/3 - 186. Suppose h(k) = 0. What is k?
-1, -2/3, 25
Suppose -5*c - 12 = -10*c + 3*g, 4*c - 3*g - 9 = 0. Let a(v) = -v + 8. Let b be a(6). Find o, given that -1/3*o**c + 0 - 1/3*o**b + 2/3*o = 0.
-2, 0, 1
Suppose -d = 3*d. Suppose -4*n + 20 = 2*y, d = n + 2*n - 4*y - 26. Factor -85*u - 8*u**3 + 34*u**2 + n + 2 + 45*u.
-2*(u - 2)**2*(4*u - 1)
Let a(z) be the third derivative of 0 + 0*z + 1/15*z**5 - 1/5*z**6 + 0*z**3 + 0*z**4 - 21*z**2. Factor a(w).
-4*w**2*(6*w - 1)
Let z(q) = 14*q**3 + 9*q**2 - 2*q - 6. Let l(s) = 24*s**3 + 17*s**2 - 4*s - 12. Let h(m) = 6*l(m) - 10*z(m). Determine a so that h(a) = 0.
-3, -1, 1
Let m(n) be the second derivative of n**5/5 + 8*n**4/3 + 87*n. What is l in m(l) = 0?
-8, 0
Suppose 0 = 2*b + v - 5, -3 = b + 2*v - 7*v. Suppose -b*z = 4*z. Suppose 0*w**3 + z + 1/8*w**4 + 0*w - 1/8*w**2 = 0. What is w?
-1, 0, 1
Suppose 0 = -2*s - 3*s + o + 17, 3*s = 3*o + 15. Suppose -s*k - 6 = -12, j - 3*k + 3 = 0. Let 8/5 - 4*u + 16/5*u**2 - 4/5*u**j = 0. Calculate u.
1, 2
Suppose -2*m + 3*a = 3, -m + 15 = 67*a - 63*a. Factor -1/6*g + 0 + 0*g**4 + 0*g**2 + 1/3*g**m - 1/6*g**5.
-g*(g - 1)**2*(g + 1)**2/6
Let p(z) be the first derivative of 4*z**5 - 382*z**4 - 932*z**3/3 + 308*z**2 + 539. Factor p(a).
4*a*(a - 77)*(a + 1)*(5*a - 2)
Let u(c) be the second derivative of -c**7/15120 + c**6/2160 + 2*c**4/3 - 12*c. Let m(l) be the third derivative of u(l). Solve m(n) = 0 for n.
0, 2
Let f(m) be the first derivative of -13 + 1/7*m**5 + 13/28*m**4 - 1/14*m**2 + 3/7*m**3 - 2/7*m. Factor f(x).
(x + 1)**3*(5*x - 2)/7
Let p(t) = 9*t**2 + 16*t + 21. Suppose 2*x = 1 - 5. Let a = -1 - 4. Let h(q) = -4*q**2 - 8*q - 10. Let n(d) = a*h(d) + x*p(d). Factor n(f).
2*(f + 2)**2
Let s(d) = 2*d**3 - 2*d**2 + 1. Let j(l) = l**3 - 18*l**2 - 9*l + 1. Let w(v) = -j(v) + 3*s(v). Let w(x) = 0. What is x?
-1, -2/5
Let t be (-1)/(-7) - (2 - (-220)/(-28)). Let c(h) = -h**3 + 5*h**2 + 9*h - 18. Let s be c(t). What is j in -1/4*j + 1/4*j**3 + 0 + s*j**2 = 0?
-1, 0, 1
Let c = 174 + -169. Let t be (3/(-6))/((75/(-10))/c). Factor t*l**2 + 16/3 - 8/3*l.
(l - 4)**2/3
Let p = 870 + -4346/5. Let -2/5*w**2 - p*w**4 + 1/5*w**5 + w**3 + 0*w + 0 = 0. Calculate w.
0, 1, 2
What is t in -t**2 + 36*t - 81 + 0*t**2 + 4*t**2 - 4*t**2 - 2*t**2 = 0?
3, 9
Solve -2516*l**2 + 2560*l**2 - 43*l + 5*l**3 - 6*l**3 = 0.
0, 1, 43
Let v = -212862 + 1913870/9. Let k = v + 210. Determine j so that -2/9*j**2 + 4/9 + k*j = 0.
-1, 2
Let n = 20440/30669 + 2/10223. Suppose n*t**2 + 4*t + 6 = 0. Calculate t.
-3
Let d be (-8)/(-20)*10 + 396/(-108). Factor 4/3 + s - d*s**2.
-(s - 4)*(s + 1)/3
Let c(h) be the third derivative of -h**8/26880 + h**7/5040 - h**6/2880 - h**4/6 + 20*h**2. Let d(q) be the second derivative of c(q). Factor d(y).
-y*(y - 1)**2/4
Factor -43808/19 + 592/19*z - 2/19*z**2.
-2*(z - 148)**2/19
Let b(y) = 65*y**3 + 105*y**2 - 600*y - 1415. Let j(g) = -8*g**3 - 13*g**2 + 75*g + 177. Let l(d) = -3*b(d) - 25*j(d). Suppose l(q) = 0. What is q?
-3, 4
Suppose -11201*r + 5*t = -11202*r + 13, 2*r = 5*t - 4. Factor -2/17*d**4 - 8/17*d - 8/17*d**r - 12/17*d**2 - 2/17.
-2*(d + 1)**4/17
Let m = 311 + -306. Let b(d) be the first derivative of 0*d - 2/27*d**3 + 6 + 1/9*d**2 + 2/45*d**m - 1/18*d**4. Find h, given that b(h) = 0.
-1, 0, 1
Let r(t) be the third derivative of t**8/168 + t**7/21 - 7*t**6/20 + 23*t**5/30 - 2*t**4/3 + 3*t**2 + 107. Factor r(v).
2*v*(v - 1)**3*(v + 8)
Solve -23*b + 13*b - b**2 - 2*b**2 + 16*b = 0 for b.
0, 2
Let c(n) be the first derivative of -4*n**3 + n**2 + 2. Let m(o) = -o**2. Let s(w) = w + 4. Let t be s(-6). Let a(y) = t*c(y) + 22*m(y). What is g in a(g) = 0?
0, 2
Let -9/2*u**2 + 5/3*u**3 + 160/3 + 1/6*u**4 - 152/3*u = 0. Calculate u.
-8, 1, 5
Factor -10/7*x**3 + 16/7*x**2 + 0 + 8/7*x.
-2*x*(x - 2)*(5*x + 2)/7
Let v be (230/20 - 11)/1. Factor 1/4 + 1/4*c**2 - v*c.
(c - 1)**2/4
Find z such that 48*z**2 - 80*z - 13*z + 31 + 20*z**3 + 15 - 21*z**3 = 0.
1, 46
