 + c*k. Solve d(o) = 0.
-1/7, 0, 1/2, 1
Suppose -3*c = 4*x - 44, -x - 19 = 4*c - 7*c. Solve -10*o**2 - 79*o**2 + 5*o**2 + c*o = 0 for o.
0, 2/21
Suppose 6*t - 2402 = 700. Factor 24 - 15*o**4 + 822*o**2 + 258*o**4 + 320*o**3 + t*o**3 + 252*o.
3*(o + 1)*(o + 2)*(9*o + 2)**2
Suppose -3*o - 11 = -3*s + 4, -2*o + 6 = 0. Solve -7*x**3 - 6*x**2 + s*x**3 - 3*x**3 = 0.
-3, 0
Let f(i) be the first derivative of -3*i**4/28 + 18*i**3/7 - 51*i**2/14 - 92. Factor f(d).
-3*d*(d - 17)*(d - 1)/7
Determine n so that -4/5*n - 2/5*n**2 + 16/5 = 0.
-4, 2
Let z(v) be the first derivative of -8/45*v**5 - 7 + 10*v + 5/9*v**3 + 2/9*v**2 + 4/9*v**4. Let h(x) be the first derivative of z(x). Factor h(m).
-2*(m - 2)*(4*m + 1)**2/9
Factor 1/2*x**2 - 3/2*x - 2.
(x - 4)*(x + 1)/2
Suppose 0 = 2*j + 3*j + 350. Let u be (-71)/119 + 1 + 20/j. Suppose -10/17*t**2 - 8/17*t + 8/17 + 2/17*t**4 + 10/17*t**3 - u*t**5 = 0. What is t?
-2, -1, 1, 2
Let m = 111/587 + 2967/2935. Determine k, given that m*k + 0 - 3/5*k**2 = 0.
0, 2
Let r = -2/675 + 421/5400. Let b(t) be the third derivative of 0 + 1/50*t**5 + 1/200*t**6 - t**2 + 0*t - r*t**4 + 0*t**3. Factor b(m).
3*m*(m - 1)*(m + 3)/5
Let -4/13*t + 4/13*t**3 + 8/13*t**2 - 6/13 - 2/13*t**4 = 0. What is t?
-1, 1, 3
Let z(u) = 4*u**2 - 5*u. Let f be (2 - 0) + 0/4. Let n(s) = -3*s**2 + 3*s - s + f*s - s**2. Let v(p) = -4*n(p) - 3*z(p). Solve v(y) = 0.
0, 1/4
Let o(w) be the first derivative of 0*w**2 - 5 + 0*w + 1/6*w**3. Find h, given that o(h) = 0.
0
Let 10*z + 16*z**4 + 96*z**3 - 34*z**3 - 26*z**3 + 2*z**5 + 32*z**2 = 0. Calculate z.
-5, -1, 0
Suppose 4*j = j - 15, 4*j - 90 = 2*y. Let i = y + 57. Factor 0*t**i + 0 - 2/17*t**3 + 2/17*t.
-2*t*(t - 1)*(t + 1)/17
Let b(s) = 12*s**2 - s - 1. Let v be b(-1). Let d be 15/(-45)*(v/10)/(-2). Factor -1/5 - d*j**2 - 2/5*j.
-(j + 1)**2/5
Let g be 4/6 - (-360)/108. Let d(k) be the first derivative of 4/7*k**2 + 0*k - g - 2/21*k**3. Factor d(i).
-2*i*(i - 4)/7
Let f(n) = -n**2 - 4*n - 4. Suppose 0 = 6*h - 2*h + 8. Let d be f(h). Let -6*x**4 - 20*x + 2 + 2*x**5 + d*x**5 + 4*x**2 + 4*x**3 + 14*x = 0. What is x?
-1, 1
Suppose i + 2 = s - 2, -i + 12 = 3*s. Suppose -g + 2*t = -1, g = s*t - t. Factor j**4 - 3*j**4 + j + j**4 - j**g + j**2.
-j*(j - 1)*(j + 1)**2
Let q(o) be the third derivative of -o**4/24 - o**3/2 + 5*o**2. Let g be q(-6). Determine j so that -8*j**2 + 6*j**2 - 4*j - j**g + 3*j = 0.
-1, 0
Factor 1/5*j**2 + 0 + 41/5*j.
j*(j + 41)/5
Let i(k) be the third derivative of -5*k**8/1344 + 11*k**7/280 - 23*k**6/240 - 11*k**5/60 + 3*k**4/4 + 4*k**3/3 - 5*k**2 - 15. Determine m so that i(m) = 0.
-1, -2/5, 2, 4
Factor 12*g + 43*g + 4*g**2 + 18*g - g + 260.
4*(g + 5)*(g + 13)
Suppose 2*f = 4*f - 8. Find y, given that -6*y + 5*y**3 - 71*y**4 + 2*y**2 - f + y**3 + 73*y**4 = 0.
-2, -1, 1
Let z(r) be the second derivative of 0 + 0*r**2 - 6*r + 5/6*r**3 + 5/12*r**4. Factor z(h).
5*h*(h + 1)
Let q(l) be the first derivative of -4*l**4 + 404*l**3/3 + 382*l**2 - 216*l - 901. Find j, given that q(j) = 0.
-2, 1/4, 27
Suppose -51 = 3*n - 204. Factor 88 - n + 10*a**2 - 2*a**3 + 2*a - 47.
-2*(a - 5)*(a - 1)*(a + 1)
Factor -5*c**5 + 71*c**3 - 14*c**4 + c**5 - 63*c**3.
-2*c**3*(c + 4)*(2*c - 1)
Factor 62*a + 101*a**2 - 212*a**2 + 113*a**2.
2*a*(a + 31)
Let n(s) be the third derivative of 0*s**3 + 0*s**4 + 1/1512*s**8 + 0 + 0*s + 0*s**7 - 8*s**2 + 0*s**5 - 1/540*s**6. Factor n(h).
2*h**3*(h - 1)*(h + 1)/9
Let a(n) be the third derivative of -n**6/210 + n**5/21 + 16*n**4/21 + 24*n**3/7 - 465*n**2. Factor a(t).
-4*(t - 9)*(t + 2)**2/7
Let r(x) = 6*x. Let a be r(7). Let f = a + -22. Find k, given that -22*k**2 + 60*k - 16 - 6*k**2 - f - 6*k**3 + 10*k**3 = 0.
1, 3
Let b(p) be the second derivative of -p**4/15 - 14*p**3/15 + 12*p**2 - p + 95. Let b(t) = 0. Calculate t.
-10, 3
Factor 33 - z**3 + 3*z**4 - 33 + 67*z**3 + 183*z**2 + 276*z**2 + 972*z.
3*z*(z + 4)*(z + 9)**2
Let d = -38 + 38. Suppose 15*y = 60*y - 135. Factor 1/3*w**y + 0 + 1/3*w**2 + d*w.
w**2*(w + 1)/3
Find u such that -u**3 - 1/7*u**4 + 0 - 2*u**2 - 8/7*u = 0.
-4, -2, -1, 0
Let o(j) be the second derivative of -j**6/70 - 11*j**5/7 - 4177*j**4/84 - 876*j**3/7 - 648*j**2/7 - 66*j + 2. Suppose o(q) = 0. Calculate q.
-36, -1, -1/3
Suppose 0 = -4*c - 2*q - 2*q + 12, -3*q + 9 = 2*c. Let l be c + 0 + 3 - (-27 + 30). Factor f + 1/2*f**2 + l.
f*(f + 2)/2
Let c(f) = f**2 - 1. Let r(k) = 3*k**3 + 81*k**2 + 765*k - 849. Let z(i) = 18*c(i) + r(i). What is b in z(b) = 0?
-17, 1
Let w(i) be the third derivative of 14*i**2 - 1/480*i**6 + 0*i + 0*i**3 + 0 - 1/96*i**4 - 1/120*i**5. Factor w(t).
-t*(t + 1)**2/4
Let n(a) be the third derivative of -2*a**7/735 + a**6/30 - 11*a**5/105 + 5*a**4/42 + 2*a**2 - 61*a. Find k such that n(k) = 0.
0, 1, 5
Let j(i) be the third derivative of i**5/540 - 7*i**4/216 + i**3/9 + 75*i**2 - 3*i. Determine f so that j(f) = 0.
1, 6
Let f be (5/30)/((-18)/(-4) + -4). Let o(i) be the first derivative of 0*i + 6 + 1/5*i**5 + f*i**3 + 0*i**2 - 1/2*i**4. Let o(b) = 0. Calculate b.
0, 1
Let a(q) = 2*q**2 - 4. Let l(t) = 2*t**2 - t - 4. Let f(s) = 6*a(s) - 4*l(s). Suppose f(p) = 0. Calculate p.
-2, 1
Factor -8/5 + 4/5*j**3 - 12/5*j + 0*j**2.
4*(j - 2)*(j + 1)**2/5
Let d = -1942 - -5827/3. Let i(w) be the third derivative of 0*w**3 - d*w**4 + 4/15*w**5 + 14*w**2 + 0 + 1/105*w**7 + 0*w - 1/12*w**6. Factor i(s).
2*s*(s - 2)**2*(s - 1)
Let j(a) be the second derivative of a**5/10 - 59*a**4/6 + 280*a**3 + 900*a**2 - 129*a - 2. Factor j(x).
2*(x - 30)**2*(x + 1)
Let t be 4 - 1 - 1 - -1. Factor -3*c**2 - 50 + t*c**2 - 35*c + 0*c**2 - 5*c**2.
-5*(c + 2)*(c + 5)
Let y(u) be the second derivative of u**4/8 + 15*u**3/4 + 21*u**2/2 - 136*u. Factor y(f).
3*(f + 1)*(f + 14)/2
Let y(a) be the second derivative of a**4/2 + 16*a**3/5 + 9*a**2/5 + 74*a. Factor y(v).
6*(v + 3)*(5*v + 1)/5
Let p(y) be the second derivative of -y**4/3 - 2*y**3 + 8*y**2 - 105*y. Solve p(t) = 0 for t.
-4, 1
Find n, given that -5/4 + 11/8*n - 1/8*n**2 = 0.
1, 10
Suppose 134 = -5*n + 114. Let y be (-1 - n)*(-9)/(-6)*1. Factor -15/4*r**3 + 27/2*r**2 - y - 21/4*r.
-3*(r - 3)*(r - 1)*(5*r + 2)/4
Let p(k) = 3*k**2 - 21*k + 21. Let x(o) = -o**3 - 2*o**2 + 21*o - 20. Let h(d) = -2*p(d) - 3*x(d). Factor h(t).
3*(t - 2)*(t - 1)*(t + 3)
Solve 0 - 3/4*i + 3/4*i**3 + 3/8*i**2 - 3/8*i**4 = 0 for i.
-1, 0, 1, 2
Solve 10/7*o**3 + 16/7*o**2 + 0 - 8/7*o = 0 for o.
-2, 0, 2/5
Let d(s) be the second derivative of s**6/6 + 2*s**5 - 5*s**4/12 - 20*s**3/3 - 8*s - 1. Let d(z) = 0. Calculate z.
-8, -1, 0, 1
Suppose -256*o = -273*o. Find d such that 2/15*d**3 + o - 4/15*d - 2/15*d**2 = 0.
-1, 0, 2
Suppose 2*v + 1601 = 4*j + 339, 0 = 5*j - 2*v - 1577. Factor j*d**2 + 4*d**4 - 4*d**3 - 315*d**2.
4*d**3*(d - 1)
Factor 2832/7*i**2 + 2816*i + 4/7*i**4 + 7168 + 176/7*i**3.
4*(i + 8)**2*(i + 14)**2/7
Suppose 5*t + 605 - 205 = 0. Let f be t/(-30) + 1/3. Let 14*g**f - 42*g**3 + 8*g**4 + 53*g**5 - 11*g**2 + 3*g**2 - 25*g**5 = 0. Calculate g.
-1, -2/7, 0, 1
Factor 48/5*w**3 - 24/5*w**4 - 243/5*w + 54/5*w**2 + 3/5*w**5 + 162/5.
3*(w - 3)**3*(w - 1)*(w + 2)/5
Let b(c) be the first derivative of 3*c**5/20 - 3*c**4/8 + 3*c**2/4 - 3*c/4 - 326. Factor b(o).
3*(o - 1)**3*(o + 1)/4
Let z(o) be the second derivative of -9*o**5/50 - 6*o**4/5 + 4*o**3/15 + 16*o**2/5 + 4*o + 1. Determine m so that z(m) = 0.
-4, -2/3, 2/3
Let x be 1641/(-3) - (-1 - -3)/1. Let s be x/(-854) + 2/4. Solve 4/7*i**3 + 0 - s*i + 4/7*i**2 = 0 for i.
-2, 0, 1
Factor 1/3*m**3 + 0 + 5/3*m**5 + 0*m - 8/3*m**4 + 2/3*m**2.
m**2*(m - 1)**2*(5*m + 2)/3
Suppose -2*b = -3*o - 3, 55*b = -18*o + 60*b + 24. Factor 0*i**4 - 2/5*i**5 + 12/5*i**o + 6/5*i + 0 + 16/5*i**2.
-2*i*(i - 3)*(i + 1)**3/5
Factor -320 - 306 - 4*c**2 - 24*c + 594.
-4*(c + 2)*(c + 4)
Let n(r) = -r**3 - 20*r**2 - 18*r + 21. Let m be n(-19). Solve -19*i**2 - 43*i - 11*i + 20 - 6*i - 16*i**m = 0 for i.
-2, 2/7
Let q be 44/33*12/10*5. Let o(n) be the third derivative of 0*n**4 + 0*n**3 + 0 + 0*n - 1/24*n**6 + 1/6*n**5 - q*n**2. Factor o(p).
-5*p**2*(p - 2)
Let u = -160413/76 + 2111. Let l = u + -1/19. Factor 0*g - 1/4*g**2 + 0 + l*g**3.
g**2*(g - 1)/4
Let b = -3486 - -3489. Factor 9/2*t**2 - 7/2*t + 1/2*t**4 + 1 - 5/2*t**b.
(t - 2)*(t - 1)**3/2
Suppose 2*z = -2*z, 0 = -2*j - 4*z + 4. Find p, given that 36*p**3 - 