 - 2)/3
Let a(t) be the second derivative of -t**7/84 - 2*t**6/15 - 3*t**5/8 - 28*t - 3. Factor a(v).
-v**3*(v + 3)*(v + 5)/2
Let s = 140 + 44. Let w = 190 - s. Factor w*h - 9/2 - 3/2*h**2.
-3*(h - 3)*(h - 1)/2
Let x(f) be the second derivative of -f**4/48 - 19*f**3/8 - 114*f. Factor x(s).
-s*(s + 57)/4
Suppose -a + 22 = -0*a. Let x = 68/3 - a. Determine o, given that -2/3 + 2/3*o**2 + x*o**3 - 2/3*o = 0.
-1, 1
Let q = 719/2 + -352. Let z be 7/2 + ((-264)/(-16) - 17). Factor -3/2*w**z + 3 + 6*w**2 - q*w.
-3*(w - 2)*(w - 1)**2/2
Let t(m) = m - 4. Let l be t(7). What is s in 0*s**3 + l*s**3 + 14*s**4 - 11*s**4 - 3*s**2 - 3*s = 0?
-1, 0, 1
Find h such that 128*h**3 + 32*h + 119*h**3 - 6*h**2 - 249*h**3 - 24 = 0.
-6, 1, 2
Let m(l) = -103*l + 929. Let t be m(9). Factor 16/5*n + 0 - 2/5*n**4 + 4*n**3 - 34/5*n**t.
-2*n*(n - 8)*(n - 1)**2/5
Let l be (7 - 3) + -2 + 2. Let w be 3/12 + 11/l. Determine r, given that -6*r - 10*r**w + 5*r**3 + 46*r**2 - 6*r - 9*r**3 = 0.
0, 2/7, 3
Factor 5/3*j + 4/3*j**2 + 1/3*j**3 + 2/3.
(j + 1)**2*(j + 2)/3
Let x(a) be the second derivative of 0*a**6 + 4/5*a**5 - 2/21*a**7 - 4*a - 4*a**2 + 0 + 2/3*a**4 - 2*a**3. Let x(z) = 0. What is z?
-1, 1, 2
Let r = 86 - 107. Let b(m) = m**4 + 4*m**3 + 5*m**2 - 5*m + 7. Let q(u) = -u + 1. Suppose 14 = 3*d + 5. Let h(l) = d*b(l) + r*q(l). Find z such that h(z) = 0.
-2, -1, 0
Let r be -1*(-2)/4*-2. Let o be (-91)/(-35) - 1/r. Let 4/5*v**2 - o*v**3 - 4/5 + 18/5*v = 0. What is v?
-1, 2/9, 1
Let s(f) be the second derivative of f**7/735 + 4*f**6/315 - 19*f**5/420 + 5*f**4/84 - f**3/3 - 6*f. Let m(x) be the second derivative of s(x). Factor m(q).
2*(q + 5)*(2*q - 1)**2/7
Let p(s) be the third derivative of 0 + 1/120*s**5 - 1/48*s**4 + 0*s - 3*s**2 - 1/2*s**3. Factor p(c).
(c - 3)*(c + 2)/2
Let -38/3*f - 1/3*f**2 - 361/3 = 0. What is f?
-19
Let z(v) be the third derivative of -5*v**2 + 0 - 5/336*v**8 + 0*v + 5/6*v**3 + 1/12*v**6 - 1/6*v**5 - 5/24*v**4 + 1/42*v**7. Factor z(m).
-5*(m - 1)**3*(m + 1)**2
Let o(m) be the third derivative of 1/80*m**5 + 0 + 0*m**6 + 0*m + 0*m**3 - 1/840*m**7 + 6*m**2 + 1/48*m**4. Factor o(a).
-a*(a - 2)*(a + 1)**2/4
Suppose 4*p - 72 = 4*f, f - 3*f + 3*p = 33. Let q be (-1)/(-3) - 98/f. What is n in -5 + q - 2*n**2 + 0*n**2 - 2*n**3 = 0?
-1, 0
Suppose 5*p = p + 16. Let l be 2/p*-2 - -1. Factor l*w**4 + 2*w**4 - w**4 + w**5 - w**2 - w**3.
w**2*(w - 1)*(w + 1)**2
Factor -2/5*z**4 + 8/5*z**3 + 0 + 2/5*z**2 - 8/5*z.
-2*z*(z - 4)*(z - 1)*(z + 1)/5
Let d(m) be the third derivative of m**6/840 + 3*m**5/20 + 63*m**4/8 + 441*m**3/2 - 101*m**2. Factor d(v).
(v + 21)**3/7
Let v(a) = -19*a + 60. Let o be v(3). Let q be -2 - ((-133)/21 + o). What is n in 0 + 0*n + q*n**2 + 32/3*n**4 - 64/3*n**5 + 28/3*n**3 = 0?
-1/4, 0, 1
Let r(k) be the second derivative of -k**7/21 + k**6/3 + 21*k**5/10 + 23*k**4/6 + 8*k**3/3 - 250*k. Suppose r(s) = 0. Calculate s.
-1, 0, 8
Let b(o) be the third derivative of -o**6/360 + o**4/24 + 2*o**3 - 2*o**2. Let j(z) be the first derivative of b(z). Factor j(y).
-(y - 1)*(y + 1)
Let r be (-10)/(1*4/(-2)). Determine i, given that 0 - 12/5*i**4 + 8/5*i**2 + 8/5*i**r + 0*i - 12/5*i**3 = 0.
-1, 0, 1/2, 2
Let b(j) be the first derivative of -j**7/630 + j**6/360 - 5*j**2 - 6. Let q(g) be the second derivative of b(g). Factor q(x).
-x**3*(x - 1)/3
Let i = 1213/13 + -93. Factor 0 + 0*v + 2/13*v**4 + 0*v**2 - i*v**3.
2*v**3*(v - 2)/13
Let p(x) be the first derivative of -2*x**3/3 + 8*x**2 - 24*x + 36. Solve p(g) = 0.
2, 6
Let l(q) = 141*q**3 + 360*q**2 - 243*q + 39. Let s(u) = 2*u**3 - u**2 + u - 1. Let p(o) = l(o) + 3*s(o). Factor p(v).
3*(v + 3)*(7*v - 2)**2
Let c(s) = -s**2 - 6*s - 7. Let h be c(-3). Factor 60 + 0*p**h - 61 + p**2.
(p - 1)*(p + 1)
Suppose 3*s - 11 - 7 = 0. Let m(a) be the third derivative of 0 + 1/90*a**5 - 1/540*a**s + 0*a - 1/54*a**4 + 0*a**3 + 5*a**2. Factor m(b).
-2*b*(b - 2)*(b - 1)/9
Suppose -2*x + 21 = -l + 4*l, -3*x - 5*l + 34 = 0. Suppose 0 = -3*w + 4 + 5. Factor 0*z**3 + 4*z**w - 3*z**3 + x*z**3 + 4*z**4.
4*z**3*(z + 1)
Let z(t) = 2*t**2 + 3*t - 2. Let g(i) = 22*i**2 + 34*i - 22. Let b(v) = v - 10. Let f be b(4). Let o(s) = f*g(s) + 68*z(s). Let o(x) = 0. What is x?
-1, 1
Find u such that -99/2*u + 81/2*u**2 - 6*u**3 - 15 = 0.
-1/4, 2, 5
Let k(h) = -h + 9. Let f be k(6). Suppose 5*y - 2*j = -0*j + 21, f*y - 6 = -j. What is g in -7*g + 6*g**2 - 8 + 0*g**3 + 2 + 10*g - 3*g**y = 0?
-1, 1, 2
Solve -12/11*c**2 + 0 - 14/11*c + 2/11*c**3 = 0.
-1, 0, 7
Let a(m) = m**2 - 4. Let o be a(-3). Factor 17*g**4 + 4*g**o + 30*g**3 + 7*g**4 + 22*g**3 + 16*g + 48*g**2.
4*g*(g + 1)**2*(g + 2)**2
Determine m so that 5776/7 + 4/7*m**2 + 304/7*m = 0.
-38
Let y be (-1 - -2)/((-3)/(-18)). Find z, given that 45*z - y - 3 - 15*z**2 - 24*z + 3*z**3 = 0.
1, 3
Let c = 417/4466 + -1/406. Suppose -4/11*u - c*u**2 + 0 = 0. What is u?
-4, 0
Let r(a) = 8*a**3 - 86*a**2 - 14. Let c(o) = 3*o**3 - 28*o**2 - 5. Let d(x) = -14*c(x) + 5*r(x). Solve d(u) = 0 for u.
-19, 0
Let t be (-468)/130 - 4*(1 + -2). Let r(l) be the first derivative of 0*l**2 + 2/25*l**5 + 0*l + 8/15*l**3 - 4 - t*l**4. Factor r(w).
2*w**2*(w - 2)**2/5
Let d(y) be the first derivative of -y**5/15 - y**4/3 + 2*y**3/3 + 2*y**2/3 - 5*y/3 + 76. Find h such that d(h) = 0.
-5, -1, 1
Let o(p) be the first derivative of 1/16*p**2 - 1/40*p**5 + 0*p + 1/24*p**3 - 1/32*p**4 - 6. Factor o(b).
-b*(b - 1)*(b + 1)**2/8
Let s(f) = -f**2 + 28*f + 382. Let n be s(-10). Find t, given that 6/5*t + 14/5*t**3 + 4*t**n + 0 = 0.
-1, -3/7, 0
Factor 92*c**2 + 15*c - 12*c**3 - 45*c**2 - 53*c**2 - 3*c**5 + 20*c**4 - 8*c**4 - 6.
-3*(c - 2)*(c - 1)**3*(c + 1)
Let f(k) = 6*k**3 + 22*k**2 + 6*k - 10. Let u(m) = -2*m**2 - m + 1. Let w(l) = f(l) + 12*u(l). Find c such that w(c) = 0.
-1, 1/3, 1
Suppose -5*x = 4*g + 1486, -x - 3*g + 1195 = -5*x. Let f be x/(-14) - (-8)/(-28). Solve 10 + j**2 - j**4 + 11 - f = 0.
-1, 0, 1
Determine p so that 30*p - 5/2*p**2 - 175/2 = 0.
5, 7
Find h such that -16 + 1/4*h**3 - 3*h**2 - 15*h = 0.
-2, 16
Suppose -2*p = 2*p + 12. Let n(w) = -w**3 - 5*w**2 - 7*w. Let b be n(p). Determine q so that 3*q**4 - 2*q**4 + 2*q**4 + q**5 + 2*q**b = 0.
-2, -1, 0
Let h be 1/(-3) + (45/54)/((-5)/(-2)). Let p be (1 + 22/(-18))*-3. Factor 2/3*r**4 + p*r**3 + 0 + 0*r**2 + h*r.
2*r**3*(r + 1)/3
Suppose 4*c - 8*c + 34 = j, -j + 25 = 3*c. Find n such that 8*n**2 - 6 - 20*n**2 + 2*n**4 + c*n - 21*n - 4*n = 0.
-1, 3
Let m(v) be the second derivative of -v**4/8 + 41*v**3/4 + 129*v**2/2 - 5*v - 23. Factor m(n).
-3*(n - 43)*(n + 2)/2
Solve 2*y + 23*y**4 + 0 - 31/2*y**3 - 2*y**2 - 15/2*y**5 = 0 for y.
-1/3, 0, 2/5, 1, 2
Let y be ((-48)/(-54))/(-4)*18/(-10). Factor 0 + 9/5*p**3 - p**4 + 1/5*p**5 - 7/5*p**2 + y*p.
p*(p - 2)*(p - 1)**3/5
Let q(h) be the second derivative of -h**6/150 - 3*h**5/25 - h**4/6 + 2*h**3/5 + 11*h**2/10 + 36*h. Solve q(r) = 0 for r.
-11, -1, 1
Let y = -168 + 68. Let d = y - -501/5. Factor 0 + d*s**2 + 1/5*s.
s*(s + 1)/5
Let u(b) = b**3 - 3*b**2 + 3. Let o be u(3). Let -80*q + 8 - 40*q**2 + 26*q**3 - 31*q**o - 8 = 0. Calculate q.
-4, 0
Let s(f) be the second derivative of 0 + 5/36*f**4 + 1/20*f**5 - 1/90*f**6 - 1/126*f**7 - 11*f + 1/9*f**3 + 0*f**2. Factor s(x).
-x*(x - 2)*(x + 1)**3/3
Let b(i) be the third derivative of -i**5/300 + i**4/40 + 38*i**2 + 2*i. Determine x, given that b(x) = 0.
0, 3
Let j(m) be the first derivative of 6*m**2 - 8*m + 10 + 4/5*m**5 + 4/3*m**3 - 3*m**4. Factor j(p).
4*(p - 2)*(p - 1)**2*(p + 1)
Suppose -26 = -5*p - 4*v, -2*p - 2*p + 2*v = 0. Suppose 4*c - 2*l = -l + p, 2*l + 4 = 0. Find u such that c*u + 0 + 2*u**3 + 2/3*u**2 = 0.
-1/3, 0
Let a be 2/(0 - (-4)/122). Factor 9*x - a*x**2 + 7*x**4 - 36 + 87*x - 11*x**4 - 27*x**2 + 32*x**3.
-4*(x - 3)**2*(x - 1)**2
Let f(l) be the second derivative of 6*l**4 + 0 + 1/10*l**6 + 27/20*l**5 + 8*l**3 + 0*l**2 - 3*l. Factor f(v).
3*v*(v + 1)*(v + 4)**2
Let x(b) be the first derivative of -b**4/42 - 10*b**3/63 + 205. Let x(l) = 0. What is l?
-5, 0
Let t(q) = q - 4. Let k be t(6). Let a be ((-16)/14)/((-1085)/1519). Factor 0 + a*d**4 + 0*d - 2/5*d**3 + 0*d**k.
2*d**3*(4*d - 1)/5
Suppose -338 = -7*o + 5*o. Let 4*s**3 + 161 - 10*s - o - 2*s = 0. What is s?
-1, 2
Let g(c) be the first derivative of -c**3 + 0*c**2 + 1/15*c**5 + 9 + 1/90*c**6 + 0*c +