
-1, 0, 1
Let z = -60 - -191. Let h = 135 - z. Factor -1/5*r**h + 1/5*r**5 - 2/5*r**3 + 0*r + 0*r**2 + 0.
r**3*(r - 2)*(r + 1)/5
Let b = 173 - 171. Let j(w) be the second derivative of 7/90*w**5 + 23/54*w**4 + 0 + 4/9*w**b + 20/27*w**3 - 3*w. Solve j(f) = 0 for f.
-2, -1, -2/7
Factor 3*v + 7*v**2 - 4*v**2 + 12 - 6*v**2 - 3*v.
-3*(v - 2)*(v + 2)
Let u = -29 + 33. Suppose 60*o**4 + 16*o**3 - 4*o**u + 4*o**2 + 12*o**3 + 13*o**5 + 19*o**5 = 0. Calculate o.
-1, -1/2, -1/4, 0
Let c(j) be the second derivative of -j**5/10 + j**4 - 5*j**3/3 - 12*j**2 - 5*j + 3. Determine y, given that c(y) = 0.
-1, 3, 4
Let j(l) be the second derivative of l**7/11340 + l**6/1620 - l**4/6 + 4*l. Let y(k) be the third derivative of j(k). Factor y(r).
2*r*(r + 2)/9
Let o be (-32)/48 - (-8)/3. Factor -50*z**o + 14*z**2 + 6*z - 4*z**2 - 26*z + 25*z**3.
5*z*(z - 2)*(5*z + 2)
Suppose -11*c**3 - 12*c**2 + 8 - 4 + 20*c**3 - 17*c**3 = 0. Calculate c.
-1, 1/2
Let u(l) = 12*l - 73 + 24*l**2 - 111 - 33*l**2 + 44*l. Let g(z) = z**2 + z + 1. Let w(q) = -4*g(q) - u(q). Factor w(m).
5*(m - 6)**2
Let f be (0 - 0) + 7/7. Let z be f - 4/8 - 1/2. Solve 0 + z*q + 2/9*q**3 + 0*q**4 + 0*q**2 - 2/9*q**5 = 0 for q.
-1, 0, 1
Let a(f) be the third derivative of f**7/1260 - f**6/720 - f**5/360 + f**4/144 + 60*f**2. Determine y, given that a(y) = 0.
-1, 0, 1
Let o(t) be the third derivative of 0*t**3 - 1/840*t**8 - 12*t**2 + 0*t - 1/100*t**6 + 0*t**4 + 1/150*t**5 + 0 + 1/175*t**7. Determine y so that o(y) = 0.
0, 1
Let t(p) = -9*p**5 + 12*p**4 - 30*p**3 + 18*p**2 + 33*p - 6. Let n = 109 + -91. Let l(g) = -g**4 + g**2 + g. Let y(f) = n*l(f) - t(f). Factor y(h).
3*(h - 1)**4*(3*h + 2)
Let r(p) = -p**2 + 32*p + 3346. Let j be r(-44). What is l in 75 + 3/4*l**j - 15*l = 0?
10
Let d(n) = 10*n**5 - 4*n**4 + 6*n**3 + 8*n**2 - 8*n. Let s(w) = -12*w**5 + 4*w**4 - 6*w**3 - 8*w**2 + 8*w. Let b(l) = 7*d(l) + 6*s(l). Factor b(j).
-2*j*(j - 1)**2*(j + 2)**2
Let l = 1 + 4. Suppose -3*s + 24 = l*g, 2*g + 2*g = s + 26. Factor 3 - q**4 + 1 - 4 - 1 - g*q**2 + 4*q + 4*q**3.
-(q - 1)**4
Let b = 4 - 1. Suppose 18*w**4 + 7*w**3 + 4*w**3 - 5*w**b + 9*w**4 + 21*w**5 = 0. Calculate w.
-1, -2/7, 0
Let i(a) be the first derivative of 25*a**3/21 - a**2/7 - 30. Factor i(x).
x*(25*x - 2)/7
What is l in 87/7*l - 48/7*l**2 + 3/7*l**3 - 6 = 0?
1, 14
Let 848/17*h - 2/17*h**2 - 89888/17 = 0. What is h?
212
Let d(k) = -k**3 - 25*k**2 - 135*k + 8. Let y be d(-8). Find r such that -1/2 + 1/6*r**4 + y*r**3 - 4/3*r - r**2 = 0.
-1, 3
Determine q so that 338/5*q + 2/5*q**3 + 0 - 52/5*q**2 = 0.
0, 13
Let f be (48/(-28))/((-2)/7). Factor -f*u - 6 - 11 + 20 + 3*u**2.
3*(u - 1)**2
Let g be (-16 - (-18 + 2))/(-6). Suppose -9/4*k**5 + 3/2*k**4 + 0*k**2 + 0*k + 3/4*k**3 + g = 0. What is k?
-1/3, 0, 1
Let b(t) = -4*t**4 + 8*t**3 + 68*t**2 + 56*t. Let l(v) = -v**2 - v. Let q(g) = -b(g) - 16*l(g). Factor q(i).
4*i*(i - 5)*(i + 1)*(i + 2)
Let a = -32/29 + 886/435. Let b = -651 + 1955/3. Find v such that b*v**3 + 6/5*v**2 + 2/15*v**4 + 4/15 + a*v = 0.
-2, -1
Let h = 5095 + -5090. Solve 0 - 3/4*l**4 + 3/2*l + 3/4*l**2 - 9/4*l**3 + 3/4*l**h = 0 for l.
-1, 0, 1, 2
Let n(q) be the first derivative of q**6/2 - 34*q**5/15 - 107*q**4/12 - 76*q**3/9 - 2*q**2 + 116. Find o such that n(o) = 0.
-1, -2/9, 0, 6
Let s(h) = -463*h + 1392. Let l be s(3). Factor -4*v + 4/7*v**5 - 8/7 + 8/7*v**4 - 8/7*v**l - 32/7*v**2.
4*(v - 2)*(v + 1)**4/7
Let q be -3*2/(-3) + 1. Let v = q - 0. Let 4*n**2 + 4*n**v + 7*n - 10*n + 3*n = 0. Calculate n.
-1, 0
Let i be 1*-3 - (-7 - 13). Suppose 44*c**2 - 9*c + 18*c**4 + 42*c + 2 - i*c + 48*c**3 = 0. What is c?
-1, -1/3
Let c(a) = 2*a**2 + 7*a**2 + 4*a**2 + 3*a - 10*a**2. Let t(h) = -4*h**2 - 4*h. Let i(n) = 5*c(n) + 4*t(n). Factor i(f).
-f*(f + 1)
Let d(i) be the first derivative of i**3 - 51*i**2/2 - 54*i + 82. Factor d(s).
3*(s - 18)*(s + 1)
Factor -363/7*i**2 + 183/7 + 6/7*i**3 - 186/7*i.
3*(i - 61)*(i + 1)*(2*i - 1)/7
Factor -11/8*g**3 + 0 + 0*g - 1/8*g**4 - 7/2*g**2.
-g**2*(g + 4)*(g + 7)/8
Suppose h = -7*a - 32, -4*h - 5*a + 4 = 17. Let w(u) be the first derivative of -5/12*u**h - 5/2*u**2 - 5*u + 5. Determine j, given that w(j) = 0.
-2
Let n(d) be the second derivative of 0*d**3 + 1/4*d**5 - 10*d**2 + 0 + 26*d + 5/4*d**4. Factor n(l).
5*(l - 1)*(l + 2)**2
Suppose -107*w = -126*w - 243*w + 524. What is s in -2*s**w + 1/2*s**3 + 0 + 3/2*s = 0?
0, 1, 3
Let q(j) = 3*j**5 + 2*j**4 - j**3 - 6*j**2. Let n(r) = -r**5 + r**4 + r**2. Let s(w) = -10*n(w) - 5*q(w). Solve s(a) = 0.
-4, -1, 0, 1
Factor 0 - 2/9*k**2 - 4*k.
-2*k*(k + 18)/9
Suppose 17*g - 24 = 9*g. Let f be (-3)/(-3*2/4). Factor 6*q - q**3 - 4*q + 4*q**2 + 3*q**g - 8*q**f.
2*q*(q - 1)**2
Let b(l) be the second derivative of l**7/63 - 7*l**6/90 + l**5/12 + 5*l**4/36 - 7*l**3/18 + l**2/3 - 5*l + 2. Solve b(o) = 0.
-1, 1/2, 1, 2
Suppose 0 = -3*q + 10 - 4. Suppose s - 2*g = -g, 2*s = -g + 12. What is d in 8/3*d**s - 2/3 + 2/3*d + 6*d**q + 22/3*d**3 = 0?
-1, 1/4
Let z(f) = -1026*f**2 + 1090*f - 42. Let j(v) = -511*v**2 + 545*v - 22. Let p(s) = 11*j(s) - 6*z(s). What is u in p(u) = 0?
2/107, 1
Let f be (-6 - -1)/(372/(-62)). Factor 1/6*h + 0 + 2/3*h**3 - f*h**2.
h*(h - 1)*(4*h - 1)/6
Let l be (4/18 - (-762)/216)/(798/608). Let -8/7*q**3 - 8*q + 4/7*q**4 - l - 48/7*q**2 = 0. What is q?
-1, 5
Let a(d) be the third derivative of 1/5*d**3 - 3/100*d**5 + 12*d**2 + 3/40*d**4 + 0 - 3/350*d**7 + 0*d - 7/200*d**6. Factor a(i).
-3*(i + 1)**3*(3*i - 2)/5
Let l = -1206 - -1209. Let f(o) be the second derivative of 0*o**2 + 1/45*o**6 + 2/9*o**l - 1/6*o**4 - 7*o + 0*o**5 + 0. Let f(d) = 0. What is d?
-2, 0, 1
Let x(u) = -2*u**3 - 2*u + 1. Let g(s) = 3*s**3 - 30*s**2 - 30*s + 213. Let y(m) = -g(m) - 3*x(m). Factor y(i).
3*(i - 2)*(i + 6)**2
Let n = -596 - -24. Let o be 10 - n/(-55) - (-2)/5. Factor -2/7*j**4 + 0*j + o*j**3 - 2/7 + 4/7*j**2.
-2*(j - 1)**2*(j + 1)**2/7
Let d be -7 + (-2 + 2/1)/1. Let n be 6*(2 + d/2)/(-3). Factor p - 3/2*p**2 + 1/2*p**n + 0.
p*(p - 2)*(p - 1)/2
Solve -666*v**3 - 12*v**4 + 918 - 43*v**3 + 340*v**3 - 2967*v**2 - 1935*v - 243 = 0 for v.
-15, -1, 1/4
Let 5*p**4 + 16151*p**3 - 32*p**4 - 15991*p**3 - 48*p**2 - 12*p**5 - 17*p**4 = 0. What is p?
-6, 0, 1/3, 2
Find r such that 0 + 63/4*r**3 - 4*r**2 + 1/4*r**5 + 4*r**4 - 16*r = 0.
-8, -1, 0, 1
Let l = -98 + 102. Let -67*t**4 - t**5 + 67*t**l + t**3 = 0. Calculate t.
-1, 0, 1
Let g(k) be the second derivative of -k**5/40 + k**4/4 + k**3/12 - 3*k**2/2 + 92*k. Factor g(b).
-(b - 6)*(b - 1)*(b + 1)/2
Let p(u) be the second derivative of u**4/90 + 8*u**3/45 - 4*u**2/3 + 83*u. Solve p(x) = 0.
-10, 2
Factor 20*p**2 + 1260*p**3 + 324*p**2 + 213*p**5 - 698*p**4 + 2364*p**4 + 32*p + 130*p**5.
p*(p + 4)*(7*p + 2)**3
Let q(c) be the second derivative of 7*c**6/285 - 51*c**5/190 + 119*c**4/114 - 31*c**3/19 + 18*c**2/19 + 5*c - 6. Suppose q(a) = 0. What is a?
2/7, 1, 3
Let m be ((-24)/50)/(46/(-5)). Let u = m + 8/23. Factor 0 - 3/5*i**4 + 0*i + 0*i**2 - u*i**3.
-i**3*(3*i + 2)/5
Let y(r) = r**4 - 6*r**3 + 17*r**2 + 33*r - 33. Let u(g) = -g**4 - g**2 - g - 1. Let n(i) = -6*u(i) - 2*y(i). Find h, given that n(h) = 0.
-3, 1, 2
Let g(z) be the first derivative of 1/18*z**4 + 14 + 4/9*z - 1/9*z**2 - 4/27*z**3. Suppose g(n) = 0. Calculate n.
-1, 1, 2
Let x(c) be the first derivative of 0*c**4 + 2/9*c - 30 + 2/45*c**5 + 0*c**2 - 4/27*c**3. Factor x(k).
2*(k - 1)**2*(k + 1)**2/9
Let -54*p**2 + 34*p**3 - 10*p - 43*p**3 + 45*p**4 + 19*p**3 + 9*p**2 = 0. Calculate p.
-1, -2/9, 0, 1
Let p(s) be the second derivative of s**5/60 - s**4/6 + s**2 - 9*s. Let c(x) be the first derivative of p(x). Let c(t) = 0. Calculate t.
0, 4
Let q(j) = -12*j**5 - 75*j**4 + 375*j**3 + 1530*j**2 + 1665*j + 603. Let n(b) = -b**5 + 2*b**3 + b**2 - b + 1. Let k(r) = -15*n(r) + q(r). Factor k(a).
3*(a - 14)**2*(a + 1)**3
Factor -38/9*q**3 - 2/9*q**5 + 26/9*q**4 - 352/9*q - 128/9 - 290/9*q**2.
-2*(q - 8)**2*(q + 1)**3/9
Suppose 3*y + 1 = -47. Let s be (-15)/6*(y/10 + 1). Let s + 3/4*t - 9/4*t**2 = 0. What is t?
-2/3, 1
Factor -56/3*z - 4/3*z**2 + 20.
-4*(z - 1)*(z + 15)/3
Factor -5 - 5/4*r**2 + 13*r.
-(r - 10)*(5*r - 2)/4
Let f(u) be the third derivative of u**7/7560 - u**6/1080 + u**5/360 - 3*u**4/8 + 12*u**2. Let y(v) be the second derivative of f(v). Solve y(p) = 0 for p.
