*5/20 - 35*c**4/4 - 1788*c**2. Factor j(f).
-3*f*(f + 5)*(f + 14)
Let o be ((-3052)/(-981))/((-6)/(-9))*(-6)/(-84). Factor o*k**4 + 32/3 - 2*k**2 + 32/3*k - 5/3*k**3.
(k - 4)**2*(k + 1)*(k + 2)/3
Suppose j = -3*j + 3*a + 9, 0 = 2*a - 2. Let b be ((-39)/78 - 2/(-4))/j. Factor 2/9*d**2 + b + 2/3*d.
2*d*(d + 3)/9
Factor -442/3 + 2/3*n**2 - 8/3*n.
2*(n - 17)*(n + 13)/3
Let h(c) = -c + 3. Let l(s) = s**3 + 6*s**2 + 12*s - 5. Let n(u) = 3*h(u) + l(u). Factor n(r).
(r + 1)**2*(r + 4)
Suppose 702 = -9*o - 0*o. Let w be 20/6*o/65 + 4. Factor -4*s**4 + w*s**2 + 22*s**3 - 30*s**3 - 4*s**2.
-4*s**2*(s + 1)**2
Let x = 14 + 3. Suppose -7 + x = 2*f. Factor 9 + 10*l - 19*l**2 - 1 + f*l**2 - 2*l**4 + 8*l**2 - 10*l**3.
-2*(l - 1)*(l + 1)**2*(l + 4)
Determine v, given that -130126188/7*v**2 - 235178122269602/7 - 285670358056/7*v - 26344/7*v**3 - 2/7*v**4 = 0.
-3293
Let g(a) be the second derivative of -a**6/60 + 7*a**5/120 + a**4/2 - 13*a**3/9 - 4*a**2 + 114*a. Suppose g(m) = 0. Calculate m.
-3, -2/3, 2, 4
Let r = 348 - 337. Factor -105*g - 20 + 100*g**2 - 15 - r + 51.
5*(g - 1)*(20*g - 1)
Let b(m) = m**3 - m**2 - 4*m + 6. Let j(l) = -6*l**3 + 171*l**2 - 161*l - 6. Let d(o) = -b(o) - j(o). What is g in d(g) = 0?
0, 1, 33
Let s(h) be the second derivative of -100*h + 0 - 2/5*h**3 + 7/5*h**2 - 1/30*h**4. Find m, given that s(m) = 0.
-7, 1
What is p in 5*p**4 + 63*p**3 + 116092*p**2 + 559*p**3 + 1378*p**3 + 7638480 + 71548*p**2 - 2472000*p = 0?
-206, 6
Suppose -11 - 79 = -18*r. Suppose 3*o - 5*o = -12. Solve -o*b**4 - 3*b + 6*b**2 - 4*b**5 + 21*b**r - 11*b**5 - 3*b**5 = 0 for b.
-1, 0, 1
Let a(b) be the second derivative of -b**4/6 + 134*b**3/3 + 552*b**2 + 2645*b. Find o such that a(o) = 0.
-4, 138
Let f(t) be the third derivative of -t**8/84 - 34*t**7/35 + 301*t**6/30 + 1199*t**5/15 + 216*t**4 + 896*t**3/3 + 9849*t**2. What is c in f(c) = 0?
-56, -1, 8
Let w = 812 + -653. Suppose w*v - 163*v = -8. Let -4 - 2/3*r**v - 14/3*r = 0. What is r?
-6, -1
Let o be (-285)/(-1015) - 440/3190. Factor -1/7*g**2 + 2/7*g - o.
-(g - 1)**2/7
Let i(c) be the first derivative of -c**4/4 + 10*c**3/3 - 17*c**2/2 - 28*c + 1437. Factor i(w).
-(w - 7)*(w - 4)*(w + 1)
Let m(v) be the second derivative of 27*v**4/10 + 48*v**3/5 + 64*v**2/5 - v - 963. Suppose m(s) = 0. Calculate s.
-8/9
Let j = 23531 - 23528. Let w(i) be the first derivative of -24 + 2/17*i**j - 8/17*i + 0*i**2 + 1/34*i**4. Determine n, given that w(n) = 0.
-2, 1
Suppose 8529 = 25*c - 446. Let n = -357 + c. Factor t + 1/5*t**n + 4/5.
(t + 1)*(t + 4)/5
Let t = 78 - 70. Let -14 - 16 - 4*z**2 + 22 + t*z + 2*z**2 = 0. What is z?
2
Let d(c) be the second derivative of 55/51*c**3 + 3*c + 1/170*c**5 + 13/102*c**4 - 16 + 75/17*c**2. Factor d(t).
2*(t + 3)*(t + 5)**2/17
Suppose 432 - 399*k**2 + 74*k**2 - 5*k**2 + 5*k**3 + 4*k**5 + 20*k**4 - 25*k**3 + 150*k**2 = 0. What is k?
-3, 2
Let b(d) be the second derivative of -d**5/90 - 2456*d**4/27 - 6031936*d**3/27 + 7552*d. What is w in b(w) = 0?
-2456, 0
Solve -267*x + 5*x**5 - 90*x**4 - 529*x + 436*x - 640*x - 80*x**2 + 1430*x**2 - 265*x**3 = 0.
-5, 0, 1, 2, 20
Let y(v) be the second derivative of 23/110*v**5 + 11/3*v**3 + 1/165*v**6 + 145*v + 0 + 0*v**2 + 13/6*v**4. Factor y(t).
2*t*(t + 1)*(t + 11)**2/11
Factor 2/5*h + 0 + 7/5*h**4 - 13/5*h**2 - 8/5*h**3.
h*(h - 2)*(h + 1)*(7*h - 1)/5
Let q(y) = 5*y**3 - y**2 + 18*y - 8. Let o be q(6). Let j be o/396 - 2/(-18). Factor 0*n**2 + 2/3*n**j - 2/3*n**4 + 0 + 0*n.
-2*n**3*(n - 1)/3
Let l(g) be the first derivative of -37/15*g**2 - 76/15*g - 153 + 2/45*g**3. Solve l(s) = 0 for s.
-1, 38
Let j be 4/((-40)/44*(-209)/95*5). Factor j*x**2 + 12/5 - 2*x.
2*(x - 3)*(x - 2)/5
Determine u so that 3392/5 + 1/5*u**3 + 37/5*u**2 - 784/5*u = 0.
-53, 8
Let t(y) = 13*y**3 - 11*y - 10. Let w(u) be the first derivative of -3*u**4/4 + u**2/2 + u - 7. Let c(h) = t(h) + 4*w(h). Solve c(o) = 0 for o.
-2, -1, 3
Let i be (-80)/(-102) + (-8424)/12636. Factor i*h**4 + 6/17*h**3 + 0 - 8/17*h**2 + 0*h.
2*h**2*(h - 1)*(h + 4)/17
Let v(a) be the second derivative of a**7/1680 - a**6/480 + a**5/480 - 37*a**2/2 + 25*a - 3. Let w(x) be the first derivative of v(x). Factor w(j).
j**2*(j - 1)**2/8
Let x(i) be the first derivative of -21*i**2 - 735*i - 86 - 1/5*i**3. Let x(h) = 0. What is h?
-35
Factor 46/5 - 1/5*v**2 - 9*v.
-(v - 1)*(v + 46)/5
Determine s so that 12199*s**2 - 24399*s**2 + 12199*s**2 + 120*s = 0.
0, 120
Let u = 38 - -71. Let s = u - 104. Find h, given that -s*h - 24 + 44*h**2 - 81*h**2 + h + 41*h**2 = 0.
-2, 3
Let -15 + 1/3*z**2 - 1/3*z**3 + 7*z = 0. Calculate z.
-5, 3
Let s(v) be the first derivative of -5*v**6/6 + 8*v**5 - 65*v**4/4 - 130*v**3/3 + 160*v**2 - 160*v - 129. Find r such that s(r) = 0.
-2, 1, 4
Let q(x) be the first derivative of -3*x**6/13 - 24*x**5/65 + 28*x**4/13 + 44*x**3/39 - 31*x**2/13 + 12*x/13 - 1793. Let q(i) = 0. What is i?
-3, -1, 1/3, 2
Factor -4*h**4 - 2046691 + 90027*h - 432*h**3 - 17112*h**2 - 386267*h + 148639.
-4*(h + 23)**3*(h + 39)
Find m, given that -131*m - 1/4*m**2 - 17161 = 0.
-262
Let n(y) = 12*y**2 - 144*y + 147. Let u(x) = -3*x**2 + 36*x - 35. Let m(v) = -5*n(v) - 21*u(v). Factor m(o).
3*o*(o - 12)
Let p(h) be the third derivative of h**8/2688 - h**7/560 - h**6/320 + 11*h**5/480 - h**4/32 - 1891*h**2. Find j, given that p(j) = 0.
-2, 0, 1, 3
Suppose -40*u + 50 = -15*u. Factor -68 + 0*w**u - 7 + 30*w - 3*w**2.
-3*(w - 5)**2
Determine t so that 4/7*t**4 - 82/7*t - 190/7*t**2 + 90/7 - 2*t**3 = 0.
-5, -1, 1/2, 9
Let k(p) = -10*p**5 - 6*p**4 + 32*p**2 - 8. Let x(t) = -9*t**5 - 7*t**4 - 2*t**3 + 32*t**2 - 7. Let v(s) = -7*k(s) + 8*x(s). Factor v(m).
-2*m**2*(m - 1)*(m + 4)**2
Let f(s) be the third derivative of -s**6/60 + 19*s**5/10 - 22*s**4 + 208*s**3/3 - 573*s**2 - 6. Factor f(v).
-2*(v - 52)*(v - 4)*(v - 1)
Let f(d) be the first derivative of -d**3/2 - 673*d**2/12 + 770*d/3 - 14826. Factor f(k).
-(k + 77)*(9*k - 20)/6
Let f(t) = 17*t**4 + 21*t**3 - 17*t**2 - 21*t - 4. Let k(g) = 2*g**4 + g**3 - g**2 - g + 1. Let q(w) = 5*f(w) + 10*k(w). Determine v so that q(v) = 0.
-1, -2/21, 1
Determine i, given that 163*i**2 - 137*i**2 - 68*i**3 - 189728 - 2*i**4 + 20944*i + 628*i**2 = 0.
-28, 11
Let c be 4554/(-858)*(34/6 - 6 - 1/3). Factor -154/13*l - 4 - c*l**3 - 150/13*l**2 + 2/13*l**4.
2*(l - 26)*(l + 1)**3/13
Let d(c) be the second derivative of -11/6*c**4 + 0 + 1/3*c**6 - 2/3*c**3 + 24*c - 2/5*c**5 + 0*c**2. Factor d(s).
2*s*(s - 2)*(s + 1)*(5*s + 1)
Let h(c) be the third derivative of c**6/360 + c**5/8 - 2*c**4/3 + 47*c**3 + 181*c**2. Let f(y) be the first derivative of h(y). Factor f(j).
(j - 1)*(j + 16)
Let z = 44898 + -583672/13. Find u such that z*u**3 - 2/13*u - 8/13*u**2 + 8/13 = 0.
-1, 1, 4
Let c(m) = -6*m**2 - 2*m + 8. Let a(f) = f**2. Let j(b) = -5*a(b) - c(b). Let p be j(-4). Solve -14/5*i**3 + p + 4/5*i**2 + 8/5*i**4 + 2/5*i = 0.
-1/4, 0, 1
Let y be (-15 - -7) + 41/(164/40). Factor 80/7*p - 800/7 - 2/7*p**y.
-2*(p - 20)**2/7
Let -3288*t**3 + 3292*t**3 + 60*t**2 - 1949 + 605 - 568*t = 0. Calculate t.
-21, -2, 8
Let o be (-2)/(-37) - 6360/(-27454). Let q(l) be the first derivative of -1/7*l**4 + 2/35*l**5 - 8/7*l + 7 + 8/7*l**2 - o*l**3. Factor q(s).
2*(s - 2)*(s - 1)**2*(s + 2)/7
Let o(b) be the second derivative of b**5/5 + b**4 - 8*b**2 - 100*b + 2. Factor o(m).
4*(m - 1)*(m + 2)**2
Let l(a) be the second derivative of -50/7*a**2 + 47*a + 20/7*a**3 + 1/140*a**5 + 0 - 1/4*a**4. Factor l(p).
(p - 10)**2*(p - 1)/7
Let y(q) = -12*q**4 + 35*q**3 + 5*q**2 - 35*q + 17. Let p(u) = 6*u**4 - 17*u**3 - 2*u**2 + 17*u - 8. Let n(w) = -5*p(w) - 2*y(w). Solve n(m) = 0.
-1, 1/2, 1, 2
Let g(x) be the first derivative of -x**4/32 - 11*x**3/24 + 1685. Let g(d) = 0. Calculate d.
-11, 0
Suppose 23*b - 535 = -59*b - 535. Suppose 78/5*f**2 - 36/5*f + 18/5*f**4 + b - 2/5*f**5 - 58/5*f**3 = 0. Calculate f.
0, 1, 2, 3
Let a(z) be the second derivative of z**7/2520 - z**6/72 + 7*z**5/40 - 49*z**4/72 + 20*z**3/3 - 51*z. Let o(q) be the second derivative of a(q). Factor o(j).
(j - 7)**2*(j - 1)/3
Let z = -34 + 57. Suppose -z*n + 36 = -19*n. Factor 101*o**2 - 9*o + o**4 + 2*o**4 + n*o**3 - 6 - 98*o**2.
3*(o - 1)*(o + 1)**2*(o + 2)
Let z(x) be the third derivative of -3*x**8/140 + 2*x**7/21 + 89*x**6/50 + 31*x**5/75 - 43*x**4/5 - 112*x**3/15