4*s**3 + 3*s**3 + 8*s**2.
-s**2*(s - 1)
Solve -7284*f**3 + 9*f**2 + 7281*f**3 + f - f = 0 for f.
0, 3
Let i(k) be the first derivative of 5*k**6/8 + 13*k**5/12 - 5*k**4/12 - 9*k**2/2 + 7. Let b(c) be the second derivative of i(c). Suppose b(h) = 0. What is h?
-1, 0, 2/15
Let b(w) be the third derivative of -w**6/720 - w**5/40 - 23*w**4/144 - 5*w**3/12 - w**2 - 13. Factor b(x).
-(x + 1)*(x + 3)*(x + 5)/6
Let 2*o**5 + 8*o - 10/3*o**2 + 2/3*o**4 - 10*o**3 + 8/3 = 0. Calculate o.
-2, -1, -1/3, 1, 2
Let i(u) = u + 26. Suppose 3*b + 51 = -18. Let h be i(b). Factor -1/5*q**h + 0*q**2 + 3/5*q + 2/5.
-(q - 2)*(q + 1)**2/5
Let v(a) be the first derivative of -a**3/12 + 23*a**2/4 - 22*a - 493. What is d in v(d) = 0?
2, 44
Let p = 123 + -83. Suppose -p = 5*y - 50. Determine t so that -2/5*t**y - 1/5*t**3 + 1/5*t + 2/5 = 0.
-2, -1, 1
Let u(q) be the third derivative of q**6/120 + q**5/15 + q**4/8 - 5*q**2. Let x be u(-3). Find l such that x*l**2 - 2*l + 2*l + l + l**2 = 0.
-1, 0
Let m be -5 - (-3 - -1) - (-7)/2. Let a = 205/6 + -34. Factor -1/3 + m*s - a*s**2.
-(s - 2)*(s - 1)/6
Factor -76 + 28*y**2 + 13*y**2 + 23*y**2 - 3*y**3 + 13 - y**2 + 3*y.
-3*(y - 21)*(y - 1)*(y + 1)
Suppose -64 + 26 = -4*c + 3*o, -3*c + 14 = 5*o. Suppose 2*h - c = -0*h. Factor 27/5*m**h - 18/5*m**3 + 0*m + 0 + 3/5*m**2.
3*m**2*(3*m - 1)**2/5
Factor 2*j + 24/5 + 1/5*j**2.
(j + 4)*(j + 6)/5
Let j(o) be the third derivative of -o**6/240 + o**5/10 - 64*o**3/3 + 160*o**2. Factor j(b).
-(b - 8)**2*(b + 4)/2
Find y such that 2/7*y**3 - 12/7*y**2 - 30/7*y - 16/7 = 0.
-1, 8
Let o(m) be the second derivative of m**6/12 + 4*m**5 + 545*m**4/12 - 850*m**3/3 - 4335*m**2/4 - 294*m. Solve o(i) = 0 for i.
-17, -1, 3
Let d(y) be the third derivative of y**7/1050 - y**6/600 - y**5/20 + 3*y**4/40 + 9*y**3/5 - 129*y**2. Factor d(w).
(w - 3)**2*(w + 2)*(w + 3)/5
Suppose 9/7 - 1/7*d**2 + 0*d = 0. What is d?
-3, 3
Let j be (-285)/12 + 2/(-8). Let t = -23 - j. Factor 1/2*p**4 - 3/2*p**2 + 1/2*p**3 + t - 1/2*p.
(p - 1)**2*(p + 1)*(p + 2)/2
Suppose -316/3*h**3 + 496/3*h + 160/3 - 104*h**2 - 28/3*h**4 = 0. Calculate h.
-10, -2, -2/7, 1
Suppose 10 = 3*t - 5. Let f(z) be the second derivative of 2/15*z**3 + 1/10*z**4 + 1/50*z**5 + 0 - t*z + 0*z**2. Suppose f(w) = 0. What is w?
-2, -1, 0
Let l(w) be the third derivative of 0 + 0*w + 2*w**2 + 1/36*w**4 + 1/15*w**5 + 0*w**3. Factor l(p).
2*p*(6*p + 1)/3
Let y(h) be the second derivative of -h**6/180 + h**5/10 - 5*h**4/18 - 112*h. Determine r so that y(r) = 0.
0, 2, 10
Let m be (-6)/(-10) + 7/5. Let y be (18/(-24))/(6/(-4)). Let 0 - 3/2*q**m + y*q**5 - q + 1/2*q**3 + 3/2*q**4 = 0. Calculate q.
-2, -1, 0, 1
Determine z so that 264/5*z**2 + 2/5*z - 2/5*z**3 - 264/5 = 0.
-1, 1, 132
Find q such that -43/2*q**2 + 3/2*q**3 - 89/6*q - 5/2 = 0.
-1/3, 15
Let x = -2 + 4. Let m = 23/33 - 4/11. Solve 4/3*f**3 + m + 4/3*f + 2*f**x + 1/3*f**4 = 0 for f.
-1
Let x(q) = 5*q**4 + 24*q**3 + 86*q**2 - 224*q + 117. Let d(o) = -o**4 - o**3 - 2*o**2 + o + 1. Let p(k) = 4*d(k) + x(k). Factor p(s).
(s - 1)**2*(s + 11)**2
Let l be -7*((-25)/(-10))/(14/(-4)). Suppose -4*j - 4 = 4*f, l*j + 5 = 3*j - 3*f. Factor -1/2 - 1/4*d**j + 3/4*d.
-(d - 2)*(d - 1)/4
Let b(j) be the first derivative of j**6/60 - 2*j**5/25 + 3*j**4/20 - 2*j**3/15 + j**2/20 - 118. Factor b(v).
v*(v - 1)**4/10
Let h(c) be the second derivative of -c**8/23520 + c**7/8820 + c**6/2520 - c**5/420 + 5*c**4/12 + 10*c. Let x(s) be the third derivative of h(s). Factor x(p).
-2*(p - 1)**2*(p + 1)/7
Determine r, given that 23*r**5 + 1563*r**4 + 185*r**4 - 2452*r**2 + 981*r + 704 - 19*r**3 + 83*r - 3*r**5 - 1065*r**3 = 0.
-88, -1, -2/5, 1
Let p(f) = -6*f**4 + 6*f**3 - 5. Let c(o) = -5*o**4 + 6*o**3 - 4. Let d(l) = -5*c(l) + 4*p(l). Factor d(w).
w**3*(w - 6)
Let m(w) = w**5 - 7*w**4 - 4*w**2 - 4*w + 8. Let t(u) = u**4 + u**2 + u - 2. Let p(l) = m(l) + 4*t(l). Factor p(v).
v**4*(v - 3)
Let r = 2070/7 + -2054/7. Suppose -4*v**3 - 52/7*v - 60/7*v**2 - r - 4/7*v**4 = 0. Calculate v.
-4, -1
Let 240*d**3 + 560*d**3 - 26*d**4 + 21*d**4 - 32443*d**2 - 12800000 - 15557*d**2 + 1280000*d = 0. What is d?
40
Suppose 1 = -4*n + 9. Suppose 15*f**4 - 5*f - 5*f**n + 15*f**3 - 10*f - 10*f**4 = 0. What is f?
-3, -1, 0, 1
Find s, given that 7/5*s**2 + 6/5 + 17/5*s = 0.
-2, -3/7
Solve 18 - 3*u**2 - 33*u - 8 - 25 - 30 - 27 = 0.
-8, -3
Let w(d) be the first derivative of 1/2*d**2 - 1/30*d**3 - 5/2*d - 13. Factor w(k).
-(k - 5)**2/10
Let t(m) be the first derivative of 2*m**3/9 - 7*m**2/3 - 20*m - 212. Determine g, given that t(g) = 0.
-3, 10
Let d = 143 + -135. Suppose t + 3*t - d = 2*u, 3*t - 6 = -u. Factor 16/17*w**3 + u + 8/17*w**2 + 10/17*w**4 + 0*w + 2/17*w**5.
2*w**2*(w + 1)*(w + 2)**2/17
Let l = 119/18 - 115/18. Let 0*a - l*a**5 + 2/3*a**4 + 0 - 2/3*a**2 + 2/9*a**3 = 0. Calculate a.
-1, 0, 1, 3
Let q(x) be the first derivative of -x**3/4 + 201*x**2/8 - 99*x/2 - 420. Factor q(r).
-3*(r - 66)*(r - 1)/4
Suppose 2*a - 2 = -2*u, -13 = -a - 2*a + 2*u. Let h(g) be the first derivative of 1/5*g**3 - 6/5*g**2 + 12/5*g + a. Find w, given that h(w) = 0.
2
Let f be (-64108)/(-3619) - (-1)/((-1)/10). Factor 114/7*a**2 + 66/7*a**3 + 6/7*a**4 + f*a + 0.
6*a*(a + 1)**2*(a + 9)/7
Let l(f) be the third derivative of f**6/540 - f**5/45 + 29*f**2. Factor l(d).
2*d**2*(d - 6)/9
Let p(g) = 8*g**2 - 8*g - 4. Let n = 36 - 19. Let r(m) = -4*m - 3 - 13*m + n*m**2 - 2 - 3. Let w(l) = 13*p(l) - 6*r(l). Let w(s) = 0. Calculate s.
-1, 2
Let o = 28 + -13. Let n be ((-1)/o)/(6/(-162)). Factor 3/5*x**3 + 6/5*x - n*x**2 + 0.
3*x*(x - 2)*(x - 1)/5
Let i(a) be the first derivative of -16/33*a**3 - 1/22*a**4 - 5/11*a**2 + 45 + 100/11*a. Determine q, given that i(q) = 0.
-5, 2
Let h = -300 - -304. Let u(g) be the second derivative of -3/70*g**7 + 0*g**3 + 0*g**2 + 1/5*g**5 - 2/15*g**h + 0 + g - 1/25*g**6. Factor u(c).
-c**2*(c + 2)*(3*c - 2)**2/5
Let k(m) be the first derivative of 0*m - 7/2*m**6 + 0*m**2 + 13 + 0*m**3 - 3/2*m**4 + 27/5*m**5. Determine g so that k(g) = 0.
0, 2/7, 1
Let d(y) be the third derivative of y**5/15 - 2*y**4/3 - 10*y**3/3 - 4*y**2 + y. Solve d(p) = 0 for p.
-1, 5
Let s(z) be the second derivative of 7*z**4/48 - 23*z**3/24 + 3*z**2/4 - 8*z - 5. Let s(k) = 0. What is k?
2/7, 3
Factor 3/2*x - 27/4 + 1/4*x**2.
(x - 3)*(x + 9)/4
Let q(o) be the second derivative of -1/4*o**4 + 0*o**2 - 3/20*o**5 + 0 + 1/2*o**3 - 28*o + 1/10*o**6. What is u in q(u) = 0?
-1, 0, 1
Find p, given that -2/7*p**4 + 6/7*p**2 + 20/7 - 10/7*p**3 + 34/7*p = 0.
-5, -1, 2
Let o(n) be the first derivative of n**3/3 + 5*n**2 - 11*n + 24. Factor o(v).
(v - 1)*(v + 11)
Let w(a) be the third derivative of a**7/3780 - a**6/1080 + 7*a**4/12 + 4*a**2. Let c(y) be the second derivative of w(y). Factor c(v).
2*v*(v - 1)/3
Let m be (-4)/(2256/(-1700)) - 3. Let l = 155/987 - m. Let -l*y**4 - 2/7*y + 0*y**2 + 2/7*y**3 + 1/7 = 0. What is y?
-1, 1
Let a(v) be the first derivative of -v**4/28 + 38*v**3/21 - 73*v**2/14 + 36*v/7 - 453. Factor a(s).
-(s - 36)*(s - 1)**2/7
Solve -3*l + 0*l**2 - 4*l**2 + 0*l**2 + 39*l + 28*l = 0.
0, 16
Let l(z) be the third derivative of z**6/300 + 19*z**5/50 + 14*z**4 + 784*z**3/15 + 100*z**2. Factor l(o).
2*(o + 1)*(o + 28)**2/5
Let v = -28 + 43. Factor 119*u + 21*u**2 + 6*u**3 - 3*u**5 - 146*u - 12*u**4 + v*u**2.
-3*u*(u - 1)**2*(u + 3)**2
Let b be (-20124)/144 - 2*(-1)/(-8). Let i be (-2)/5 + (-91)/b. Find l, given that 1/2*l + i*l**2 + 1/4 = 0.
-1
Find f, given that 33 - 15*f - 3/4*f**3 - 69/4*f**2 = 0.
-22, -2, 1
Suppose -4*z = z - 40. Let b be ((-30)/z + 3)/((-9)/8). Factor -1/3 - 2/3*f**2 + 1/3*f**5 + f**4 - f + b*f**3.
(f - 1)*(f + 1)**4/3
Let b(p) = -175*p**2 + 139*p - 24. Suppose 0 = 4*m - 2*t + 2, -4*t = 4*m + 8. Let o(n) = n - 1. Let v(h) = m*b(h) - 6*o(h). Let v(c) = 0. What is c?
2/5, 3/7
Let o(w) = -3*w**3 + w**2 + 77*w + 75. Let d be o(-1). Find l such that -3/2*l**3 + l + 1/2*l**5 + 0 + 1/2*l**d - 1/2*l**4 = 0.
-1, 0, 1, 2
Factor 680*c**3 + 886*c**2 + 720*c + 3*c**2 + 210*c**4 + 33 + 151*c**2 + 127 + 25*c**5.
5*(c + 2)**4*(5*c + 2)
Factor -2/11*f**3 + 14/11*f**2 + 34/11*f + 18/11.
-2*(f - 9)*(f + 1)**2/11
Suppose -4*d + 2*d = 5*p - 26, 2*p = -3*d + 17. Suppose -4*l + 22 + 14*l - 15*l**2 - 22 + 5*l**d = 0. What is l?
0, 1, 2
Let u(o) = -2*o**2 - 19*o + 13. Let r b