*h**g + 1/16*h**4 + 39. Factor l(r).
-(r - 2)*(r - 1)*(r + 1)**2/4
Let k be (940/40)/(3/(-30)). Let p be (-188)/k + (-27)/40. Factor 0*i**3 + 0 + 1/8*i**4 - p*i**2 + 0*i.
i**2*(i - 1)*(i + 1)/8
Factor -16*x**2 - 10/9*x**3 - 20 - 506/9*x.
-2*(x + 5)*(x + 9)*(5*x + 2)/9
Let y(h) = h**2 - 9*h + 2. Let f = -169 + 175. Let d(u) be the first derivative of -u**3/3 + 5*u**2 - 3*u + 7. Let k(c) = f*d(c) + 7*y(c). Factor k(n).
(n - 4)*(n + 1)
Suppose 2*t = i + 2, -4 - 10 = -2*t + 4*i. Let g(k) = -k**2 + 1. Let n(o) = 7663 - 2*o - 10*o - 7666 + 18*o**2. Let v(y) = t*n(y) - 15*g(y). Solve v(m) = 0.
2
Let g(x) be the third derivative of 3*x**2 + 1/110*x**5 + 2/33*x**3 + 6 + 0*x + 5/132*x**4. Factor g(p).
2*(p + 1)*(3*p + 2)/11
Let v(m) be the third derivative of 0*m + 11/4*m**4 - 363/2*m**3 - 1/60*m**5 + 0 + 86*m**2. Factor v(t).
-(t - 33)**2
Factor -126 - 3/2*f**2 - 93/2*f.
-3*(f + 3)*(f + 28)/2
Let b(v) be the first derivative of -3*v**5/5 - 33*v**4/4 - 26*v**3 - 24*v**2 - 1044. Factor b(r).
-3*r*(r + 1)*(r + 2)*(r + 8)
Let x(b) be the first derivative of -1/28*b**4 + 1/14*b**2 + 157 - 2*b + 2/3*b**3. Determine h so that x(h) = 0.
-1, 1, 14
Let m(l) be the second derivative of 5*l**3/6 + 53*l**2/2 - 27*l. Let k be m(-10). What is o in 3*o**k - 10*o**4 - 5*o**5 - o**3 + o**3 - 8*o**3 = 0?
-1, 0
Let u be 2/(0 + (-3)/(-126)). Factor -20*f + 19 - 44*f**2 + 3 + 38*f**2 + u*f.
-2*(f - 11)*(3*f + 1)
Factor 2*o**2 - 144 + 1028*o - 38 - 1208*o.
2*(o - 91)*(o + 1)
Let c(j) be the third derivative of -j**8/840 - 487*j**7/525 - 10003*j**6/50 - 17666*j**5/15 - 29282*j**4/15 + 8737*j**2. Suppose c(a) = 0. Calculate a.
-242, -2, -1, 0
Let k(c) be the first derivative of -43 - 22/21*c**3 - 26/7*c - 25/7*c**2 + 1/14*c**4. Let k(v) = 0. Calculate v.
-1, 13
Factor -8*j**2 + 2 + 12*j**3 - 4/3*j - 14/3*j**4.
-2*(j - 1)**3*(7*j + 3)/3
Let g be (6/15*(-1 - 1))/(2529/(-4215)). Find a such that 2/9*a**2 - g + 2/9*a = 0.
-3, 2
Let p(q) be the second derivative of q**5/180 + 17*q**4/108 + 25*q**3/18 + 11*q**2/2 - 762*q. Solve p(s) = 0 for s.
-11, -3
Let w(k) = -33*k**2 + 32*k - 2. Let d be 8/36 + (-180)/81. Let t be 1 + (-1 - 3) + 9. Let f(b) = -b. Let n(a) = d*w(a) + t*f(a). Factor n(j).
2*(j - 1)*(33*j - 2)
Let j(n) be the first derivative of -28/5*n - 12/5*n**2 - 54 - 1/5*n**3 + 1/20*n**4. Solve j(d) = 0 for d.
-2, 7
Determine n, given that 3/2*n**2 - 5595/2 + 2796*n = 0.
-1865, 1
Let y(x) be the third derivative of x**7/210 - 73*x**6/120 + 6*x**5/5 + 741*x**2. Solve y(c) = 0.
0, 1, 72
Let s(h) be the third derivative of h**8/112 - h**7/70 - 43*h**6/40 - 107*h**5/20 + 3*h**4/4 + 72*h**3 + 5*h**2 + h + 126. Solve s(a) = 0 for a.
-3, -2, 1, 8
Let h(m) = -m**2 + 7*m - 6. Let a be h(6). Let r = -2300 - -2300. Solve -2/5*q**3 + r - 2/5*q**2 + a*q = 0.
-1, 0
Let d(n) = -17*n**3 + 12*n**2 - 162*n + 104. Let u(o) = 2*o**3 - o**2 + 2*o + 4. Let z(i) = 2*d(i) + 18*u(i). What is w in z(w) = 0?
-14, 1, 10
Let x(b) be the first derivative of 1/3*b**4 - 6 - b**3 - 1/30*b**5 + 3*b**2 + 0*b. Let c(t) be the second derivative of x(t). Factor c(g).
-2*(g - 3)*(g - 1)
Let g = -152 - -154. Determine k, given that 2*k**3 + 266*k**5 - 268*k**5 - 10*k**2 + g*k**4 + 4*k - 2*k**3 + 6*k**3 = 0.
-2, 0, 1
Suppose -2*x + 134*w + 33 = 139*w, 27 = 3*x + 3*w. What is l in x*l + 24/5 + 4/5*l**2 = 0?
-3, -2
Factor 1/2*y**2 - 399/2 + 65*y.
(y - 3)*(y + 133)/2
Let n(t) be the second derivative of -t**6/10 + 907*t**5/60 + 2047*t**4/36 + 1337*t**3/18 + 103*t**2/3 + 737*t + 2. Let n(r) = 0. Calculate r.
-1, -2/9, 103
Let i(l) be the second derivative of 1/3*l**3 - 1/80*l**5 + 7/48*l**4 + 0 + 0*l**2 + 146*l. Find z, given that i(z) = 0.
-1, 0, 8
Suppose 0 = 5*k + 7*f + 37 - 9, 0 = -k - 5*f - 20. Let y(l) be the second derivative of 2/3*l**3 - 17*l + 3/5*l**5 + 0*l**2 + k - 4/3*l**4. Solve y(s) = 0.
0, 1/3, 1
Let o(q) be the second derivative of q**8/10080 - q**6/360 - q**5/90 + 3*q**4/4 + q**3/2 - 127*q. Let g(i) be the third derivative of o(i). Factor g(u).
2*(u - 2)*(u + 1)**2/3
Let i(w) = -9*w**3 + 309*w**2 - 398*w + 94. Let r(d) = -d + 5. Let l(m) = i(m) + r(m). Let l(k) = 0. Calculate k.
1/3, 1, 33
Let s(h) be the first derivative of -h**5/20 + 35*h**4/2 - 6533*h**3/4 - 35*h**2 + 4900*h - 10764. Find o, given that s(o) = 0.
-1, 1, 140
Let w(f) be the first derivative of 11*f**4/6 + 8*f**3 + 4*f**2 - 105*f + 99. Let x(s) be the first derivative of w(s). Suppose x(q) = 0. Calculate q.
-2, -2/11
Let n = -200913 - -200915. Find z such that 0*z**n - 46/5*z**3 - 2/5*z**5 + 48/5*z**4 + 0*z + 0 = 0.
0, 1, 23
Factor -1129 + 229 - 233*j**3 - 480*j - 69*j**2 + 230*j**3.
-3*(j + 3)*(j + 10)**2
Determine x so that 2/5*x**3 + 126/5*x**2 + 0 + 124/5*x = 0.
-62, -1, 0
Let d(u) = -u**3 + 6*u**2 + 26*u + 19. Let z be d(9). Factor n**3 + 3*n**5 + 4*n**3 - 53*n**2 - 21*n**4 + 74*n**2 + z*n**3 - 18*n.
3*n*(n - 6)*(n - 1)**2*(n + 1)
Suppose 44*o - 2693 + 501 = 2120. Solve -o*w - 2401/4*w**2 - 4 = 0.
-4/49
Let b(a) = 3*a + 68. Let q be b(-22). Suppose 4*w - 12 = -0. Suppose 6*o**4 - 18*o**q - 10*o**4 - 8*o**4 - w*o - 27*o**3 + 0*o = 0. What is o?
-1, -1/4, 0
Let p(v) be the second derivative of -2*v**7/21 + 4*v**6/15 + 8*v**5/5 - 289*v. Factor p(o).
-4*o**3*(o - 4)*(o + 2)
Factor -124372*y + 62189*y + 810*y**2 + 5*y**3 + 62183*y.
5*y**2*(y + 162)
Let c(b) be the third derivative of -b**7/1890 - b**6/72 + 41*b**5/540 + 41*b**4/72 + 34*b**3/27 + 2750*b**2. What is x in c(x) = 0?
-17, -1, 4
Let l(t) be the second derivative of -t**4/15 - 902*t**3/15 - 1796*t**2/5 - 732*t + 5. What is u in l(u) = 0?
-449, -2
Let r(l) = 10*l**2 + 7*l. Let j = 735 + -742. Let f(w) = 5*w**2 + 5*w**2 - 5*w**2 + 3*w. Let o(d) = j*f(d) + 3*r(d). Factor o(c).
-5*c**2
Let v(w) = 6*w - 70. Let u be v(12). Let -26*j**3 - j**4 + 32*j**3 - 6*j - j**u - 7*j**2 + 9 = 0. What is j?
-1, 1, 3
Let t be 4/((-9 - -8)*2/(-6)). Suppose 2*b = 4*x - t, -b + 5*b + 3 = x. Find g, given that 16*g - 4*g**x - 20*g**2 - 32*g + 0*g**3 = 0.
-4, -1, 0
Let q = 15 - -5. Suppose -5*s + q = -0*s. Let m(v) = -4*v**2 - 5*v - 4. Let i(r) = -5*r**2 - 6*r - 5. Let l(p) = s*m(p) - 3*i(p). Let l(j) = 0. What is j?
-1
Let x(m) be the first derivative of 12*m**5 + 138 + 25*m**3 + 3*m**4 - 80*m - 11*m**5 + 4*m**2 + 0*m**5 + 16*m**2 - 13*m**4. What is v in x(v) = 0?
-1, 1, 4
Solve 552/7*i**2 + 1/7*i**3 + 6229504/7 + 101568/7*i = 0.
-184
Let o = -493 + 495. Solve -127*f**o - 4*f + 52*f - 84 + 124*f**2 = 0 for f.
2, 14
Suppose -8/17*j**5 - 74/17*j + 378/17*j**2 + 6*j**4 - 48/17 - 350/17*j**3 = 0. Calculate j.
-1/4, 1, 3, 8
Let r = -143535/122918 - 9/2998. Let h = 226/123 + r. Suppose 4*u - h*u**2 - 10/3 = 0. What is u?
1, 5
Find o, given that 508 + 4548*o**2 - 53*o**3 - 1729*o - 1315*o + 127*o**3 - 38*o**3 = 0.
-127, 1/3
Suppose 68*g - 1557 - 1435 = 0. Suppose -59*v + g*v = -45. What is b in 1/5*b**v + 3/5 + 1/5*b**2 - b = 0?
-3, 1
Let y be 98/14 + ((-68)/272)/((-1)/(-12)). Factor 3*w**3 + 0 - 1/2*w**y - 3/2*w**2 - 5*w.
-w*(w - 5)*(w - 2)*(w + 1)/2
Let y(d) = -43*d**3 - 3151*d**2 - 52392*d - 49284. Let j(r) = r**3 + r**2. Let g(i) = 6*j(i) - y(i). Suppose g(w) = 0. Calculate w.
-222/7, -1
Suppose 0 = -5*w - 3*j - 53, 60*w + 5*j + 101 = 58*w. Let 1/5*z**3 + 0 + 2/5*z - 3/5*z**w = 0. What is z?
0, 1, 2
Let f(s) = 147*s**2 + 55*s - 10. Let m(p) = 59*p**2 + 27*p - 4. Let v(h) = 4*f(h) - 10*m(h). Suppose v(n) = 0. What is n?
-25, 0
Factor -2/17*m**2 + 36 - 198/17*m.
-2*(m - 3)*(m + 102)/17
Let 5929741/5 + 11761199/5*b + 5733718/5*b**2 - 1/5*b**5 - 97198/5*b**3 + 541/5*b**4 = 0. What is b?
-1, 181
Factor -2280 + 483/2*m**2 + 45*m**3 - 1/2*m**4 - 356*m.
-(m - 95)*(m - 3)*(m + 4)**2/2
Find q, given that 3*q**4 - 314376876*q - 1051*q**3 + 1593676*q**2 + 8084718430 - 5914*q**2 - 859*q**3 + 15257764613 - 1654*q**3 = 0.
297
Let j(t) = 17*t**4 + 100*t**3 - 1108*t**2 + 36*t. Let m(o) = -7*o**4 - 40*o**3 + 443*o**2 - 15*o. Let z(w) = 5*j(w) + 12*m(w). Find r, given that z(r) = 0.
-28, 0, 8
Let j be 2/(-24)*(-160 - -152). Let i(a) be the first derivative of 2/75*a**5 + 2/5*a**2 - 1/5*a**4 - j*a - 19 + 8/45*a**3. Suppose i(t) = 0. Calculate t.
-1, 1, 5
Suppose 0 = -20*c + 8*c + 60. Factor 7260*q + 12*q**2 - 47*q**2 - 135*q**2 + c*q**3 - 53240 - 160*q**2.
5*(q - 22)**3
Let b(t) = -t**3 - 21*t**2 - t - 1. Let h be b(-