r q(a).
-4*(a - 2)**2*(a + 4)
Let a(f) = -7 + 6*f**2 + f**3 - 8 - 7*f**2 - 5*f**2 + 3*f. Let o be a(6). Find s such that -4 - 6*s + 2*s + 4*s**2 + 34*s**3 - 30*s**o = 0.
-1, 1
Let y(c) = c**5 - 9*c**4 + 18*c**3 - 10*c**2 + 3*c. Let k(m) = -2*m**5 + 10*m**4 - 18*m**3 + 10*m**2 - 4*m. Let l(d) = -3*k(d) - 4*y(d). What is b in l(b) = 0?
-5, 0, 1
Let x(j) be the first derivative of -j**4/22 - 16*j**3/33 - 12*j**2/11 + 83. Let x(n) = 0. Calculate n.
-6, -2, 0
Suppose -2*k + 424 = 2*m, -5*k + m + 3*m + 1078 = 0. Let d be k/20 - (-10)/(-50). Suppose d*o**2 + 15*o + 9/2 = 0. Calculate o.
-1, -3/7
Let t(v) be the third derivative of v**5/15 - v**3/6 + 8*v**2. Let i be t(-1). Suppose 3*w + 45*w**i + w - 49*w**3 = 0. What is w?
-1, 0, 1
Determine q, given that 2/13*q**2 + 38/13 - 40/13*q = 0.
1, 19
Let j be (-1827)/70*(-84)/9. Let p = j + -242. Suppose 0*w - p + 2/5*w**2 = 0. What is w?
-2, 2
Solve -54 + 3/4*o**5 + 243/4*o**3 - 273/2*o**2 + 141*o - 12*o**4 = 0.
1, 2, 9
Let q = 29 + -26. Factor q + 2*a - 3*a - 3*a - 2*a - 9*a**2.
-3*(a + 1)*(3*a - 1)
Suppose t - 2*j - 555 = 6*t, 0 = 2*t + j + 222. Let d = -109 - t. Factor -n - 2*n**4 - 1/2 + 2*n**3 + 3/2*n**d.
-(n - 1)**2*(2*n + 1)**2/2
Let h(v) = -v**2 - 11*v - 5. Let k be h(-11). Let o be ((-30)/k - 7) + 4. Let 8/3*g**2 + 0 - 8/3*g - 2/3*g**o = 0. Calculate g.
0, 2
Let k = -218 - -218. Suppose 4*h + z - 20 = k, -7*h + 4*h = -3*z. Factor 0*x + 2/13*x**h + 4/13*x**3 + 0 + 2/13*x**2.
2*x**2*(x + 1)**2/13
Let g(h) = h**2 - 15*h - 14. Let c be g(16). Suppose -u + c*u = 2. Factor 2/5*y**4 + 0*y - 2/5*y**3 - 4/5*y**u + 0.
2*y**2*(y - 2)*(y + 1)/5
Let l(w) be the first derivative of 1/27*w**6 - 24 + 0*w - 4/27*w**3 + 4/45*w**5 - 1/9*w**2 + 0*w**4. Factor l(o).
2*o*(o - 1)*(o + 1)**3/9
What is w in 0 + 1/8*w**2 + w = 0?
-8, 0
Let w(n) = -16*n**3 - n**2 + 1. Let t be w(-1). Suppose 0 = 4*a - 3*v - t, -a - 3*v = a - 8. Factor -9*q**2 - 12*q**2 + 25*q**2 - a.
4*(q - 1)*(q + 1)
Let g(f) be the second derivative of -f**8/112 - f**7/70 - 5*f**2 + 4*f. Let j(t) be the first derivative of g(t). Factor j(q).
-3*q**4*(q + 1)
Let g be ((-4)/6)/(12/(-54)). Let a(f) = -g + f**2 + f**3 + 0*f**3 + 4. Let j(l) = 12*l**3 + 34*l**2 + 96*l + 138. Let d(v) = -20*a(v) + 2*j(v). Factor d(w).
4*(w + 4)**3
Let m = 27 - 23. Let 19*c**4 - 7*c**m - 4*c**5 + 7*c**2 - 15*c**3 + c**4 - c = 0. Calculate c.
0, 1/4, 1
Let s be 0/(-2) + 3132/(-29). Let n be (-4)/8*(s/(-15))/(-1). Determine c so that -n - 2/5*c**2 - 12/5*c = 0.
-3
Suppose -o + 20 = v, 5*o + 0*v + 4*v - 98 = 0. Factor -23 + o + 15*r + 5*r**3 - 11*r**2 - 4*r**2.
5*(r - 1)**3
Let h(y) be the first derivative of y**4/4 - 7*y**3 + 36*y**2 - 68*y - 180. What is k in h(k) = 0?
2, 17
Let s(i) = -i**3 - 29*i**2 + 213*i + 109. Let b be s(-35). What is u in -26/9*u**2 - 1/3 - 1/3*u**b - 16/9*u - 16/9*u**3 = 0?
-3, -1, -1/3
Let l(m) be the second derivative of m**5/4 - 5*m**4/4 - 5*m**3 + 20*m**2 + 5*m - 3. Let l(p) = 0. What is p?
-2, 1, 4
Let h(z) be the first derivative of 19 + 24*z - 10*z**2 + 2/3*z**3 + 1/4*z**4. Factor h(n).
(n - 2)**2*(n + 6)
Let k be 2/(-15*2)*(-2 + 1). Let j(m) be the second derivative of -k*m**3 + 0*m**4 + 1/50*m**5 + 5*m + 0 + 0*m**2. Factor j(x).
2*x*(x - 1)*(x + 1)/5
Let c be 2 - 0 - 115/240*4. Let n(i) be the second derivative of -1/80*i**5 - 6*i - 5/24*i**3 + c*i**4 + 1/4*i**2 + 0. Let n(k) = 0. Calculate k.
1, 2
Determine b so that -980*b**3 - 224 + 11245*b**5 - 11569*b**5 + 273*b**2 - 1453*b**2 + 1404*b**4 + 1948*b - 644*b = 0.
-1, 2/9, 1, 28/9
Suppose -1378 = -7*w + 876. Factor -25*f**3 + w*f - 12*f**2 - 314*f + 5*f**3.
-4*f*(f + 1)*(5*f - 2)
Let g(p) be the first derivative of p**3/3 + p**2 - 15*p - 119. Determine o so that g(o) = 0.
-5, 3
Let c(a) be the third derivative of -3*a**5/2 + 31*a**4/8 - a**3/2 + a**2 + 108. Factor c(b).
-3*(b - 1)*(30*b - 1)
Let k(x) = 2*x**2 - 32*x + 6. Let m be k(17). Let 4*h**3 + m*h + 30*h**2 + h**3 - 29*h + 29*h = 0. Calculate h.
-4, -2, 0
Let h = 595 - 593. Let z(b) be the third derivative of -7*b**h + 0 + 0*b**3 - 1/6*b**4 - 1/30*b**5 + 0*b. Factor z(y).
-2*y*(y + 2)
Let t(c) = -c**2 - 8*c + 1. Let n be t(-6). Factor n*y**2 - 15*y**2 + 4 - 2 + 0.
-2*(y - 1)*(y + 1)
Let g(k) be the second derivative of 0 + 1/78*k**4 + 1/13*k**2 - 3*k - 2/39*k**3. Factor g(f).
2*(f - 1)**2/13
Let w(u) be the third derivative of 10*u**7/21 - 31*u**6/3 + 1261*u**5/15 - 310*u**4 + 600*u**3 + 346*u**2. Determine q, given that w(q) = 0.
6/5, 5
Let w(g) be the first derivative of 2*g**3/3 - 86*g**2 + 3698*g - 31. Solve w(h) = 0 for h.
43
Suppose -x - 3 = 0, -3*n - 169*x + 170*x + 3 = 0. Factor n*q - 2/7*q**3 - 6/7*q**2 + 8/7.
-2*(q - 1)*(q + 2)**2/7
Let r(s) be the third derivative of -s**8/42 + 26*s**7/35 + 21*s**6/10 + s**5/15 - 7*s**4/2 + 603*s**2. Suppose r(v) = 0. Calculate v.
-1, 0, 1/2, 21
Let v(s) = s**2 + s + 1. Let w(k) = 15*k**2 - k + 4. Let j(l) = -6*v(l) + w(l). Solve j(i) = 0 for i.
-2/9, 1
Let z(n) = 80*n**2 + 1235*n + 35. Let r(l) = 7*l**2 + 103*l + 3. Let s(i) = 35*r(i) - 3*z(i). Factor s(p).
5*p*(p - 20)
Let y(j) be the first derivative of 2*j**3/27 + 22*j**2/3 + 242*j + 129. Solve y(k) = 0 for k.
-33
Let y(h) be the third derivative of -8*h**7/105 - 13*h**6/15 + 343*h**5/60 - 151*h**4/24 + 3*h**3 - 15*h**2 - 1. Factor y(i).
-(i - 2)*(i + 9)*(4*i - 1)**2
Let f(j) = 2*j + 33 + 26 + 3*j - 16. Let t be f(-8). Find p, given that -7/2*p**t - p + 0 - 9/2*p**2 = 0.
-1, -2/7, 0
Let b(f) = 14*f**2 - 57*f - 206. Let m(o) = -13*o**2 + 59*o + 202. Let u(x) = 8*b(x) + 9*m(x). Solve u(c) = 0.
-2, 17
Let u = -2/5 - -29/60. Let h(k) be the first derivative of u*k**3 + 4 + 3/8*k**2 + 1/2*k. Factor h(l).
(l + 1)*(l + 2)/4
Determine b so that -28*b**2 - 5*b**2 + 3*b**3 + 6*b**2 - 41 + 8 - 63*b = 0.
-1, 11
Let w(r) be the first derivative of 8/3*r**2 + 0*r - 7 - 16/9*r**3 + 1/3*r**4. Factor w(p).
4*p*(p - 2)**2/3
Let x = -5392/9845 - -2/895. Let o = -13/44 - x. Factor -1/4*s + 0 + 1/2*s**2 - o*s**3.
-s*(s - 1)**2/4
Let b = -97/3 + 33. Suppose 0*k - k + 2*x - 6 = 0, k + 3*x - 9 = 0. Suppose b*i - 1/3*i**2 + k = 0. What is i?
0, 2
Factor 1/2*r - 1/4*r**2 + 3/4.
-(r - 3)*(r + 1)/4
Let b be 0*(2 + -4 + 3). Suppose 4*o - j - 2*j - 17 = b, -12 = -3*o + 2*j. Suppose -4*u + 7*u**3 + 2*u**o - 6*u**3 + 5*u = 0. Calculate u.
-1, 0
Suppose -3*o = -4*o + 3. Factor -54*y - 2*y**4 + 46*y - 2 - 5*y**3 - o*y**3 - 12*y**2.
-2*(y + 1)**4
Factor 1/6*n**4 + 0*n + 1587/2*n**2 + 0 + 23*n**3.
n**2*(n + 69)**2/6
Let m = 116257/168 + -692. Let b(o) be the second derivative of 0*o**2 + 0*o**6 + 0*o**4 + 9*o + 1/80*o**5 + 0 + 0*o**3 - m*o**7. Factor b(s).
-s**3*(s - 1)*(s + 1)/4
Suppose -12 = -6*i - 0. Factor 2 - g**2 - i*g**2 + 0 + g**2.
-2*(g - 1)*(g + 1)
Determine p so that -2/5*p - 2/5*p**2 + 4/5 = 0.
-2, 1
Suppose 191*a**2 - 42*a**4 - 151*a**2 - 179*a**2 + 144*a - 339*a**2 - 270*a**3 - 2*a**5 + 648 = 0. Calculate a.
-9, -2, 1
Suppose 119 - 45 - 44 = 10*x. Factor 2/13 - 2/13*s**2 + 2/13*s**x - 2/13*s.
2*(s - 1)**2*(s + 1)/13
Let v(x) be the first derivative of 3*x**5/140 - 3*x**4/28 + 3*x**3/14 - 3*x**2/14 + x + 8. Let c(w) be the first derivative of v(w). Factor c(u).
3*(u - 1)**3/7
Let u(c) be the first derivative of c**4/2 + 8*c**3/3 + 3*c**2 - 181. Factor u(z).
2*z*(z + 1)*(z + 3)
Let t be -40 - 27104/(-637) - 8/(-26). What is d in -49 + 1/7*d**4 - t*d**3 - 28*d + 18*d**2 = 0?
-1, 7
Let x be (9393/(-1010))/((-3)/(-5) - (-9)/(-5)). Find c, given that -1/2 + 7*c**3 + x*c**2 + 28*c**5 - 5/4*c - 41*c**4 = 0.
-2/7, -1/4, 1/2, 1
Let z(i) be the third derivative of 0*i**6 - 1/525*i**7 + 0*i**3 - 7*i**2 + 0 - 1/840*i**8 + 0*i**5 + 0*i + 0*i**4. Suppose z(f) = 0. Calculate f.
-1, 0
Let w(k) be the second derivative of k**3/6 + k. Let l(m) = -14*m**2 + 15*m - 2. Let s = -800 - -796. Let j(a) = s*w(a) + l(a). Factor j(r).
-(2*r - 1)*(7*r - 2)
Let o(q) = -q**3 - 46*q**2 - 203*q + 82. Let j be o(-41). Factor 0*u + j*u**2 + 0 + 4/7*u**3 - 2/7*u**4.
-2*u**3*(u - 2)/7
Let i(n) = n**2 - n - 4. Let f be i(3). Suppose -d + f*d = 0. Factor 0*w - 5/6*w**3 + 2/3*w**4 + 1/6*w**2 + d.
w**2*(w - 1)*(4*w - 1)/6
Let y = 10018/3759 - -2/1253. Find g such that 20/9*g + 32/9*g**4 - 4/9 - 16/9*g**3 - y*g**2 = 0.
-1, 1/2
Suppose -2*o - 106 + 54 = 0. Let p be 1*-1 + -1 + (-130)/o. Solve 3*r**3 