3/3 + 58*l. Suppose k(j) = 0. What is j?
-4, 0, 2
Let i(o) be the second derivative of -o**4/6 + 34*o**3/3 - 289*o**2 - 84*o. Factor i(d).
-2*(d - 17)**2
Let x = 24793/13941 + -1/1549. What is d in -8/3*d + x - 2/9*d**3 + 4/3*d**2 = 0?
2
Let m(n) be the second derivative of -9/2*n**2 + 2*n - n**3 + 1/4*n**4 + 0. Factor m(b).
3*(b - 3)*(b + 1)
Let b(o) = o**2 + 1. Let d(x) = 16*x**2 + 216*x - 2896. Let a(j) = 20*b(j) - d(j). Suppose a(y) = 0. Calculate y.
27
Suppose -44 = -3*d - j, j = 5*d + 6*j - 80. What is r in 7*r + 16 + 2*r**2 + 4*r**4 + 9*r - 8*r**3 - d*r**2 = 0?
-1, 2
Let q(u) = -u**2 - u + 1. Let z(l) = -6*l**2 - 4*l + 9. Suppose y = -s + 2, -3*y + 2*s + 6 = 6*s. Let h(t) = y*z(t) - 14*q(t). Solve h(i) = 0.
-2, -1
Let k = 2150854/35145 + 4/7029. Factor -4/5*a**3 - k*a - 81/5 + 71/5*a**2.
-(a - 9)**2*(4*a + 1)/5
Let k = -448 - -448. Let v(a) be the third derivative of 1/4*a**4 - 2*a**2 + 0 - 1/20*a**5 - 1/2*a**3 + k*a. Find i, given that v(i) = 0.
1
Suppose 3*x = -9, 0 = -4*q + 2*x + 3 + 3. Suppose q = -92*p + 91*p. Factor p - 2/7*w + 2/7*w**2.
2*w*(w - 1)/7
Solve -4*g - 24/7 - 4/7*g**2 = 0.
-6, -1
Factor 9/5*t + 3/5*t**2 + 2/5 - 14/5*t**3.
-(t - 1)*(2*t + 1)*(7*t + 2)/5
Let m be (-128)/(-120) + 4/(-6). Suppose 4*j - 32 = -12*j. Solve 0*f**j + m*f**3 + 0 + 0*f - 2/5*f**4 = 0 for f.
0, 1
Suppose 37 = 2*a - 5*z, -z = a - 5*a + 29. Suppose -a*g**4 + 15*g**3 + 9*g + 4*g**4 - g**4 + 6*g**4 + 21*g**2 = 0. Calculate g.
-3, -1, 0
Suppose -12 + 2 = -2*r. Determine t, given that 3 + 6*t**4 + 8*t**3 - 8*t**r + 1 - 6*t**2 - 4 = 0.
-1, 0, 3/4, 1
Solve 46/9*d**2 + 8/9*d**5 - 10/9*d**4 + 4/9 - 26/9*d - 22/9*d**3 = 0 for d.
-2, 1/4, 1
Let b(p) = -2851*p + 17106. Let n be b(6). Solve n + j**4 - 2*j**2 + 3/2*j - 5/2*j**3 = 0.
-1, 0, 1/2, 3
Let m(r) = 6*r**3 - 4*r**2 - 10*r + 4. Let u(s) = -s**4 - 12*s**3 + 9*s**2 + 22*s - 8. Let t(z) = -5*m(z) - 2*u(z). Find f such that t(f) = 0.
-1, 1, 2
Let g(m) be the second derivative of -3*m**5/40 - 7*m**4/8 - 15*m**3/4 - 27*m**2/4 - 15*m. Suppose g(n) = 0. Calculate n.
-3, -1
Let d be (6/(-4))/(9/(-12)). Let s be d/(-10) + (-771)/(-5). Determine b so that -23*b + 16 - 98*b**4 - s*b**3 + 43*b + 132*b**2 + 84*b = 0.
-2, -2/7, 1
Let l(x) = 7*x**3 + 41*x**2 + 49*x - 5. Let d(n) = 6*n**3 + 42*n**2 + 48*n - 4. Let b(t) = 5*d(t) - 4*l(t). Factor b(u).
2*u*(u + 1)*(u + 22)
Let x = 2/473 + 3299/2838. Factor 8/3*v**2 - 2/3*v + 0 - x*v**3.
-v*(v - 2)*(7*v - 2)/6
Let w(k) be the second derivative of -2*k + 1/35*k**5 - 1/35*k**6 + 0*k**4 + 0*k**3 + 0 + 0*k**2 + 1/147*k**7. Factor w(l).
2*l**3*(l - 2)*(l - 1)/7
Factor -28/11*k**2 - 4 + 70/11*k + 2/11*k**3.
2*(k - 11)*(k - 2)*(k - 1)/11
Suppose -3*b + 28 = 4*t, -5*b + 13 = -7. Let f be -1 + 0 + (3 - 0). Factor -25*w**4 + 4*w**t - 3*w**f + 14*w**3 + 9*w**5 + w**3.
3*w**2*(w - 1)**2*(3*w - 1)
Let j(w) be the third derivative of -2*w**2 - 1/7*w**4 + 0 + 12/7*w**3 + 0*w + 1/210*w**5. Factor j(d).
2*(d - 6)**2/7
Suppose 8*o - 8 = 3*o - 3*j, -2*o + j + 12 = 0. Suppose -t + 4*a + 8 = a, 4*t - o*a - 16 = 0. Factor 3/2 + 0*d**t - 9/4*d + 3/4*d**3.
3*(d - 1)**2*(d + 2)/4
Let n = 26 + -26. Let p(a) be the second derivative of 2/27*a**3 - 1/9*a**2 - 2*a + 0*a**4 + n + 1/135*a**6 - 1/45*a**5. Suppose p(m) = 0. What is m?
-1, 1
Let u(b) = -b**2 - 12*b. Let r(l) = -l**2 - 12*l + 1. Let h(t) = 5*r(t) - 4*u(t). Let p be h(-10). What is j in -25 + 2*j**3 + p + 2*j**2 - 4*j = 0?
-2, 0, 1
Let o(u) = 15*u**4 - 760*u**3 + 14450*u**2 - 5*u - 10. Let n(x) = 7*x**4 - 380*x**3 + 7224*x**2 - 2*x - 4. Let l(r) = -5*n(r) + 2*o(r). What is b in l(b) = 0?
0, 38
Factor -b - 17*b**2 + 4*b**3 - 12*b + 3*b + 2*b**3 + 7*b.
b*(b - 3)*(6*b + 1)
Find g, given that -5/8*g**2 - 13/8*g**3 + 3/8*g**4 + 57/8*g - 9/4 = 0.
-2, 1/3, 3
Let d(p) = -180*p**3 - 575*p**2 - 585*p - 185. Let c(m) = -m**4 - 180*m**3 - 576*m**2 - 586*m - 183. Let v(s) = -5*c(s) + 6*d(s). Let v(q) = 0. What is q?
-1, 39
Suppose -2*t = -5*t + 84. Let b(i) = -2*i**3 - 42*i**2 - 109*i - 15. Let d be b(-18). Factor -2*r**4 - t*r**3 + 12*r**d + 10*r**3 + 4*r**3.
-2*r**3*(r + 1)
Let o(f) be the first derivative of f**8/1200 - f**7/1400 - 7*f**6/1800 + f**5/200 - 11*f**3/3 + 5. Let p(x) be the third derivative of o(x). Solve p(a) = 0.
-1, 0, 3/7, 1
Suppose -7*i + 4*i - 23*i = 0. Let u(r) be the first derivative of 1/11*r**2 + 0*r**4 - 8 - 1/33*r**6 + 4/33*r**3 - 4/55*r**5 + i*r. Factor u(x).
-2*x*(x - 1)*(x + 1)**3/11
Let h be 11 + -15*4/(-12). Let s be 5/(1 - -2 - 8/h). Factor 3/4*j + 21/8*j**3 - 27/8*j**s + 0.
3*j*(j - 1)*(7*j - 2)/8
Let s(t) = t**2 - 2. Let j be s(-2). Factor -300 + 5*r**2 + 19*r**2 - 60*r - 27*r**j.
-3*(r + 10)**2
Let w(c) be the third derivative of -c**5/42 - 197*c**4/84 - 26*c**3/7 + 7*c**2 + 18*c. What is y in w(y) = 0?
-39, -2/5
Let q(h) be the second derivative of 0*h**2 + 15/4*h**4 + 13*h + 0 + 15/4*h**5 + 5/3*h**3 + 11/6*h**6 + 5/14*h**7. Let q(k) = 0. Calculate k.
-1, -2/3, 0
Let i(o) be the first derivative of -o**6/1080 - o**5/360 - 29*o**3/3 - 14. Let x(k) be the third derivative of i(k). Determine b so that x(b) = 0.
-1, 0
Let y be (4/6)/((-3)/(-18)). Let m be (y/8 + -1)/(3/(-2)). Factor 2/3 + x - m*x**2 - x**3 - 1/3*x**4.
-(x - 1)*(x + 1)**2*(x + 2)/3
Let i(w) be the third derivative of w**9/15120 - w**8/2520 + w**5/10 + 3*w**2. Let t(v) be the third derivative of i(v). Factor t(z).
4*z**2*(z - 2)
Suppose -3*o - 4*o = -21. Suppose -o*x - x = -8. Find m such that -3*m**2 + 2*m**x - m + 0*m + m**4 + m**3 = 0.
-1, 0, 1
Let d be ((-4)/6)/((-1854)/108 + 16). Suppose 4/7*g**2 - d*g**3 + 4/7*g + 0 - 4/7*g**4 = 0. What is g?
-1, 0, 1
Factor 270 - 84*x - 416*x**2 + 419*x**2 + 18.
3*(x - 24)*(x - 4)
Let d(k) be the second derivative of -9*k**5/20 + 5*k**4 + 46*k**3/3 + 16*k**2 + 2*k + 26. Find u, given that d(u) = 0.
-2/3, 8
Let k(a) = 242*a**2 + 4*a - 3. Let s be k(1). Find q, given that -768 - 146*q**2 + 144*q**3 - 2446*q**2 + 2304*q - s*q**4 + 1152*q**3 = 0.
4/3
Suppose 2*u = 0, -26 = -5*g + 3*u + 79. Let b = g + -18. Factor -14*r - 335*r**2 - 1575*r**4 + 1530*r**b + 51*r + 35*r + 375*r**5 - 229*r**2.
3*r*(r - 3)*(5*r - 2)**3
Let v(f) be the third derivative of -f**8/280 + 6*f**7/175 - 2*f**6/25 - 154*f**2. Factor v(x).
-6*x**3*(x - 4)*(x - 2)/5
Let d(j) = -j**3 - 419*j**2 + 22467*j - 22071. Let r(a) = -16*a**3 - 6284*a**2 + 337004*a - 331072. Let k(l) = 92*d(l) - 6*r(l). Find g, given that k(g) = 0.
1, 105
Let d(f) = f**4 + f**2. Let b(h) = 3 + 3*h**2 + 5 - 5 - 6*h + 14*h**3 - 8*h**3. Let p(q) = -b(q) + 3*d(q). Suppose p(k) = 0. What is k?
-1, 1
Let o(g) be the third derivative of -g**6/900 - 13*g**5/450 - 7*g**4/36 + 49*g**3/45 + 112*g**2 - 2. Factor o(a).
-2*(a - 1)*(a + 7)**2/15
Factor -53*u**2 + 36 + 56*u**2 - 26*u + 5*u.
3*(u - 4)*(u - 3)
Let o(m) = m**2 + m**2 + 11*m**2 + m**3 + 14*m - 19*m. Let x(l) = -12*l**2 + 4*l. Let d(a) = 4*o(a) + 5*x(a). Factor d(b).
4*b**2*(b - 2)
Suppose 4 + 0 = 2*k. Factor r**5 + 3*r**4 - r**2 + 4*r**k - 7*r**2.
r**2*(r - 1)*(r + 2)**2
Let k(a) be the second derivative of a**7/2 + a**6/2 - 15*a**5 - 35*a**4 + 24*a**3 - 3*a + 27. Suppose k(n) = 0. Calculate n.
-3, -2, 0, 2/7, 4
Let v be 6/4*48/18. Factor -20*g + 12 - 24*g**3 - 16*g - 4*g + 4*g**v + 48*g**2.
4*(g - 3)*(g - 1)**3
Let u(f) = -5*f**2 - 520*f - 12. Let t(z) = -45*z**2 - 4680*z - 110. Let i(q) = -6*t(q) + 55*u(q). Find y such that i(y) = 0.
-104, 0
Let g(q) be the second derivative of q**5/30 - q**4/8 + q**3/6 + 4*q**2 + 7*q. Let a(o) be the first derivative of g(o). Factor a(b).
(b - 1)*(2*b - 1)
Factor 1/2*q**4 + 11 + 21/2*q - 23/2*q**2 - 21/2*q**3.
(q - 22)*(q - 1)*(q + 1)**2/2
Let s = -31/1500 - -203/750. Suppose 75*m + s*m**3 - 250 - 15/2*m**2 = 0. Calculate m.
10
Let m(h) be the second derivative of h**4/21 + 10*h**3/7 + 4*h**2 + 429*h. Find s such that m(s) = 0.
-14, -1
Let r = -47577/7 + 6799. Factor 0 + r*a**2 - 4/7*a.
4*a*(4*a - 1)/7
Let v = -607/51 + 208/17. Let b = -2 - -5. Factor -1/3 - 1/3*f**b + v*f + 1/3*f**2.
-(f - 1)**2*(f + 1)/3
Suppose 8 = 2*f + 4. Solve 3*d**3 + 11*d**2 - 5*d**f + 3*d + 0*d = 0 for d.
-1, 0
Let y(s) be the second derivative of s**6/1080 - 13*s**3/3 - 3*s. Let b(w) be the second derivative of y(w). Solve b(t) = 0 for t.
0
Let x(y) be the second derivative of y**6/1260 + y**5/420 - 17*y**3/6 - 8*y. 