 -2*z + 2*z**3 + 2 - 3/2*z**m - 1/2*z**4.
-(z - 2)**2*(z - 1)*(z + 1)/2
Let p(r) = 5*r**5 + 12*r**4 + 3*r**3 - 16*r**2 + 4*r - 4. Let z(l) = 12*l**5 + 24*l**4 + 6*l**3 - 33*l**2 + 9*l - 9. Let y(w) = -9*p(w) + 4*z(w). Factor y(q).
3*q**2*(q - 4)*(q - 1)*(q + 1)
Let z = -2181/2 + 4365/4. Find y, given that -3/2*y**2 - 3/4*y**4 + z*y**5 + 9/4 + 15/4*y - 9/2*y**3 = 0.
-1, 1, 3
Let w = -185 - -185. Suppose 0 = 3*r + 10 + 2, -4*i - 5*r = w. Suppose -3/2 + i*l - 7/2*l**2 = 0. What is l?
3/7, 1
Let h be 4/20 + (-22)/10 - 3. Let i be ((-54)/4)/(h/2). Determine d so that -3/5*d + 0 - 18/5*d**2 - 12/5*d**4 - i*d**3 = 0.
-1, -1/4, 0
Suppose -32*o + 8*o**3 - 18/5*o**4 + 32/5 + 64/5*o**2 = 0. What is o?
-2, 2/9, 2
Suppose -19*b + 10 = -14*b. Suppose 2*p**2 - 7*p**2 + 0*p**b - 99*p + 119*p - 20 = 0. Calculate p.
2
Let j = 75 + -73. Suppose -4*c - 4 + 20 = 0. Find i, given that -8*i**j + 3 - 5*i**3 + 4*i**4 - 4*i - 5*i**c - 3 = 0.
-2, -1, 0
Let p(r) be the third derivative of r**8/3696 + 3*r**7/770 + 13*r**6/660 + 3*r**5/110 - 9*r**4/88 - 9*r**3/22 - 13*r**2 + 2. Factor p(w).
(w - 1)*(w + 1)*(w + 3)**3/11
Let g = -102 - -110. Suppose 0*j + 4*x - 2 = j, 2*j + 4*x - g = 0. Find v, given that 4/13*v**3 + 0*v**j - 2/13 - 4/13*v + 2/13*v**4 = 0.
-1, 1
Let q(t) be the third derivative of 19/360*t**5 + 0*t - 29*t**2 + 0 + 1/84*t**7 - 2/45*t**6 - 1/72*t**4 + 0*t**3. Factor q(d).
d*(d - 1)**2*(15*d - 2)/6
Let y(n) be the first derivative of 2*n**3/27 - 16*n**2/3 + 184*n/9 - 390. Factor y(v).
2*(v - 46)*(v - 2)/9
Suppose -2*i - m = 2*i - 195, -4*m - 180 = -4*i. Let z be (i/(-20) - (-2)/5)/(-4). Let z*p**2 + 0 + 3/2*p = 0. Calculate p.
-3, 0
Suppose -z = -3*i + 4, -i - 87 + 80 = -2*z. Factor -2/11*k**4 - 6/11*k**2 + 0 - 8/11*k**i + 0*k.
-2*k**2*(k + 1)*(k + 3)/11
Let k(i) = -4*i**4 + 8*i**2 - 4. Let y(g) = g**2 + 6*g. Let n be y(-5). Let h(z) = 4*z**4 - 9*z**2 + 5. Let a(r) = n*k(r) - 4*h(r). Let a(x) = 0. Calculate x.
-1, 0, 1
Let y(s) = -5*s**4 - 89*s**3 - 454*s**2 - 576*s - 257. Let f(z) = -z**4 - 15*z**3 - 76*z**2 - 96*z - 43. Let m(i) = 34*f(i) - 6*y(i). Let m(x) = 0. What is x?
-2, -1, 10
Suppose 93*b**2 + 44 - 86*b**2 + 6*b - 37*b**2 + 8*b**3 = 0. What is b?
-1, 2, 11/4
Let y = 1583/4 + -7903/20. Factor 6/5*h - y*h**2 + 0.
-3*h*(h - 2)/5
Let y(n) be the first derivative of 0*n - 3/40*n**5 + 1/32*n**4 - 1/8*n**2 - 1 + 1/8*n**3 + 1/48*n**6. Determine o, given that y(o) = 0.
-1, 0, 1, 2
Let h be 6*(-7)/28*-2. Let x(z) be the first derivative of -4/3*z - 1/9*z**h + 5/6*z**2 + 5. Suppose x(f) = 0. What is f?
1, 4
Let y be (12/4 - -3) + -1. Let l(g) be the third derivative of 0*g + g**2 + 0*g**y - 1/210*g**6 + 0 + 4/21*g**3 + 1/14*g**4. Factor l(t).
-4*(t - 2)*(t + 1)**2/7
Let l(r) = r**3 - 3*r**2 + 2*r. Let s be l(5). Factor 15 - 33 + 82*n**2 - 17*n**2 - s*n**3 + 13.
-5*(n - 1)*(3*n - 1)*(4*n + 1)
Let y(w) be the second derivative of -w**9/37800 + w**8/8400 - 17*w**4/12 + 4*w. Let d(n) be the third derivative of y(n). Factor d(p).
-2*p**3*(p - 2)/5
Suppose -2*p + 261 = p. Let k = p + -83. Factor -7/6*c**3 - 1/2*c**2 - 1/2*c**k + 1/2*c + 1/3.
-(c + 1)**3*(3*c - 2)/6
Let j = -76 + 130. Let u = 56 - j. Let -2/7*k**u + 4/7*k + 6/7 = 0. What is k?
-1, 3
Let v be (-97)/(-15) + 25/2000*16. Factor v*y + 4/3 + 3*y**2.
(y + 2)*(9*y + 2)/3
Let i(f) = f**3 - f**2 - 5*f + 9. Let t(a) = -a**2 + a - 1. Let b(k) = -i(k) - 4*t(k). Solve b(v) = 0.
-1, 1, 5
Let d = -86/9 + 98/9. Let t(u) be the second derivative of u + u**2 + d*u**4 - 7/20*u**5 + 0 - 11/6*u**3. Let t(v) = 0. What is v?
2/7, 1
Let r be 3/(99/45 + 2/(-1)). Factor -33 + 2*n**2 + 25 - 4*n**2 + r - 13*n.
-(n + 7)*(2*n - 1)
Let w(s) be the first derivative of 2/9*s**4 + 2/9*s + 2 + 0*s**3 - 1/3*s**2. Factor w(y).
2*(y + 1)*(2*y - 1)**2/9
Let m(n) = 4*n**4 + 7*n - n**4 - 11 - 6*n**2 + 2*n**4 - n**3 - 18*n. Let y(h) = h**4 - h**2 - 2*h - 2. Let t(s) = -2*m(s) + 11*y(s). Factor t(l).
l**2*(l + 1)**2
Suppose -23/8*p**4 - 4*p**3 - 3/4*p**5 - 1/4*p + 1/8 - 9/4*p**2 = 0. What is p?
-1, 1/6
Solve -q**2 - 2*q**2 + 37632 - 672*q - 4*q**2 + 7*q**2 + 3*q**2 = 0 for q.
112
Let h(r) be the first derivative of -5*r**3/6 + 15*r**2/4 + 25*r + 841. Find w, given that h(w) = 0.
-2, 5
Let z(d) be the first derivative of -2*d**5/5 - 5*d**4/2 - 2*d**3 + 9*d**2 - 195. Factor z(l).
-2*l*(l - 1)*(l + 3)**2
Let h(m) = -3*m**5 - 86*m**4 - 675*m**3 + 4. Let p(u) = 3*u**5 + 87*u**4 + 675*u**3 - 3. Let q(o) = 3*h(o) + 4*p(o). Let q(n) = 0. Calculate n.
-15, 0
Let l(n) be the third derivative of -n**5/40 + n**4/2 + 5*n**3 + 7*n**2 + 6. Factor l(s).
-3*(s - 10)*(s + 2)/2
Let l = 6 + -3. Let f = l - 2. Determine c so that f + 1 - 1 - c**2 = 0.
-1, 1
Let j(x) be the second derivative of 8*x + 0*x**2 - 1/255*x**6 + 0*x**5 + 0 + 0*x**3 + 0*x**4. Factor j(b).
-2*b**4/17
Suppose -688*i = -686*i - 6. Let s(g) be the first derivative of 5/7*g**4 + 20/21*g**3 + 1/21*g**6 + 5/7*g**2 + 2/7*g**5 + 2/7*g - i. Factor s(r).
2*(r + 1)**5/7
Let g(q) = -q**3 - 81*q**2 + 84*q + 166. Let s be g(-82). Factor 28/15 + 2/15*r**s + 2*r.
2*(r + 1)*(r + 14)/15
Let b = 393553/24988 + 2/6247. Let n = b - 31/2. Factor -3/4 + n*d**2 - 1/2*d.
(d - 3)*(d + 1)/4
Let d(c) be the third derivative of c**6/300 + 13*c**5/150 + c**4/6 - 8*c**3/5 - 95*c**2. Factor d(b).
2*(b - 1)*(b + 2)*(b + 12)/5
Find k, given that 27529*k**2 - 27517*k**2 - 3*k**3 - 3*k**4 + 4*k + 8*k = 0.
-2, -1, 0, 2
Let q be ((-1 + 1)/14)/2. Factor 80/7*f**2 + 20/7*f**4 + 32/7*f + q + 2/7*f**5 + 66/7*f**3.
2*f*(f + 1)**2*(f + 4)**2/7
Let l(q) be the first derivative of -q**5/30 + 5*q**4/24 + q**3/18 - 5*q**2/12 + 88. What is h in l(h) = 0?
-1, 0, 1, 5
Let w(o) be the second derivative of -o**9/3024 - o**8/1344 - o**4/3 - 3*o**2 + 47*o. Let f(v) be the third derivative of w(v). Factor f(l).
-5*l**3*(l + 1)
Let y = -91/5 - -1097/60. Let c(r) be the second derivative of 0 - 10*r - 4/3*r**3 + y*r**4 + 8*r**2. Suppose c(l) = 0. What is l?
4
Let j(o) be the third derivative of o**7/189 - 37*o**6/540 - 119*o**5/270 - 107*o**4/108 - 10*o**3/9 + 50*o**2. Solve j(w) = 0 for w.
-1, -3/5, 10
Let q(a) = a**3 + 2*a**2 - 2*a + 3. Let j be q(0). Let h(u) be the first derivative of 2/33*u**j + 6 - 1/22*u**4 - 2/11*u + 1/11*u**2. Factor h(o).
-2*(o - 1)**2*(o + 1)/11
Let r = 1593/13 - 123. Let c = 37/52 + r. Suppose -1/4*v + c*v**3 + 1/4*v**2 - 1/4 = 0. What is v?
-1, 1
Let g = -20359/240 - -509/6. Let j(m) be the third derivative of 0*m - g*m**5 - 1/6*m**3 + 0 - 1/24*m**4 + 2*m**2. Suppose j(c) = 0. What is c?
-2
Let a(c) be the second derivative of c**6/600 + c**5/100 - c**4/30 + 18*c**2 - 21*c. Let j(l) be the first derivative of a(l). Suppose j(h) = 0. What is h?
-4, 0, 1
Let o(v) = -2*v**3. Let b be (-48)/84 + (-6)/14. Let c be o(b). Solve -40*u**c + 33*u**3 + 20*u - 3*u**4 - 2*u**4 - 8*u**3 = 0 for u.
0, 1, 2
Let n(f) be the first derivative of -20*f**5 + 130*f**4 + 499*f**3/3 - 115*f**2/2 + 6*f + 428. Find k such that n(k) = 0.
-1, 1/10, 6
Let a be (-46)/(-45) - 624/780. Let 0*m - a*m**2 + 2/9*m**3 + 0 = 0. What is m?
0, 1
Let n be 2*(0 - 2 - -1)/((-1104)/48). Let -36/23*q - n*q**2 - 162/23 = 0. Calculate q.
-9
Let m = 4 + -6. Let f be m/(-3) - (-20)/6. Find r such that 4*r**4 - f*r**2 + 8*r - 8*r**4 + 13*r**2 + 3*r**2 = 0.
-1, 0, 2
Determine k so that 0 + 11/3*k**2 + 1/6*k**3 + 0*k = 0.
-22, 0
Let i = 239 + -205. Suppose i*f - 24*f = 30. What is z in 9/2*z**2 - 1/2*z**4 - 9/2*z**f + 0 - z + 3/2*z**5 = 0?
-2, 0, 1/3, 1
Let a be ((-1)/(2/(-6)))/((-1212)/(-1616)). Determine h so that a - 1/2*h**2 - 7/2*h = 0.
-8, 1
Let l = -115 - -151. Let z be (-6)/15 + l/15. Factor -1/4*y**z - 1 - y.
-(y + 2)**2/4
Suppose -288 = -16*y + 4*y. Factor 134*i**4 - 36*i**4 + 84*i**3 - y*i**4 - 52*i**4 - 16*i + 72*i**2.
2*i*(i + 2)**2*(11*i - 2)
Suppose 0 = -4*g - 8, -f + 2*g = -2*f + 16. Let m be (-75)/f*(-4)/(-20)*-3. Factor m + 4*k**2 - 6*k.
(4*k - 3)**2/4
Let y(o) be the third derivative of o**5/120 - 17*o**4/24 - 35*o**3/12 + 61*o**2. Suppose y(w) = 0. Calculate w.
-1, 35
Suppose 11*n + 31/2*n**2 + 4*n**3 - 1/2*n**4 + 0 = 0. Calculate n.
-2, -1, 0, 11
Let d be (-3)/12 - (3 + 102/(-24)). Suppose -3*u + 6 + 0 = 0. Factor d - 28*f**2 + 5*f**3 + 4 - 5*f + 23*f**u.
5*(f - 1)**2*(f + 1)
Factor 2/9*l**3 + 0*l + 2/3*l**2 - 8/9.
2*(l - 1)*(l + 2)**2/9
Factor