 + 2*r**5 + 13.
2*r*(r - 3)**2*(r - 1)**2
Let w be (-1)/9*-3 - (40/(-15) + 1). Let g(i) be the second derivative of 9/20*i**5 + 3/4*i**4 + 0*i**w + 0 + 1/10*i**6 + 1/2*i**3 - 8*i. Factor g(o).
3*o*(o + 1)**3
Let i(o) be the third derivative of -o**5/45 + 29*o**4/18 - 40*o**3 - 252*o**2 + 4*o. Factor i(n).
-4*(n - 20)*(n - 9)/3
Let r(w) = -293*w - 1756. Let o be r(-6). Let g(m) be the second derivative of 0*m**o - 21/20*m**5 + 0 + m**3 - 12*m + 5/4*m**4. Factor g(d).
-3*d*(d - 1)*(7*d + 2)
Determine o so that -8/3*o + 1/3*o**2 - 128/3 = 0.
-8, 16
Let z(r) be the first derivative of 4*r**3/15 + 126*r**2/5 + 866. Factor z(d).
4*d*(d + 63)/5
Let u(k) = -18*k + 74. Let x(g) = -g**3 + 9*g**2 - 12*g + 36. Let a be x(8). Let d be u(a). What is p in -3/4*p**3 + 0*p**d + 0 + 0*p - 3/8*p**4 = 0?
-2, 0
Let u be (18/(-7))/((-11178)/(-3756) - 3). Let o = -747/7 + u. Factor 0*h**2 - o*h**3 + 0 - 6/5*h**4 + 0*h.
-3*h**3*(2*h + 1)/5
Let k = -296329 - -296332. Determine x so that 65/2 - 255/2*x + 15/2*x**k + 175/2*x**2 = 0.
-13, 1/3, 1
Let i(o) be the second derivative of -2/147*o**7 + 22 + 4*o**2 + 2/21*o**4 - 4/5*o**5 + 58/21*o**3 + o - 32/105*o**6. What is a in i(a) = 0?
-14, -1, 1
Let y = 1685/8946 - 66/497. Let i(a) be the first derivative of -53/6*a**4 - y*a**6 - 290/9*a**3 - 2 - 325/6*a**2 - 17/15*a**5 - 125/3*a. What is l in i(l) = 0?
-5, -1
Let b(m) be the second derivative of -25*m - 1/48*m**4 - 18*m**2 - m**3 + 0. Factor b(q).
-(q + 12)**2/4
Let w(y) be the first derivative of -y**8/2520 + y**7/140 - y**6/36 - 5*y**5/36 - 41*y**3/3 + 2*y + 93. Let b(x) be the third derivative of w(x). Factor b(z).
-2*z*(z - 5)**2*(z + 1)/3
Let v(j) be the third derivative of -j**7/1155 - 1321*j**6/220 + 793*j**5/22 - 11897*j**4/132 + 1322*j**3/11 + 9842*j**2. What is k in v(k) = 0?
-3966, 1
Let u(z) be the second derivative of -3/70*z**5 - 24/7*z**2 + 5/14*z**4 + 1 + 4*z - 2/7*z**3. Find f such that u(f) = 0.
-1, 2, 4
Factor -2/7*y**2 + 72/7*y - 520/7.
-2*(y - 26)*(y - 10)/7
Let y be 24/9*9/6. Factor 15*f**4 - 26*f**3 - 10*f**2 - 28*f - 17*f**y + 42*f**3.
-2*f*(f - 7)*(f - 2)*(f + 1)
Suppose 0*s = -5*h + s + 2539, -s + 2531 = 5*h. Let o = h - 1011/2. What is k in -3/2*k**2 + 3/2*k**3 + o - 3/2*k = 0?
-1, 1
Let d(n) be the first derivative of -n**6/14 + 6*n**5/35 + 3*n**4/14 - 4*n**3/7 - 3*n**2/14 + 6*n/7 + 1007. Find i such that d(i) = 0.
-1, 1, 2
Let t(w) = -w**3 - 4*w**2 - 13*w - 26. Let m be t(-3). Factor -5*c**m + 60*c + 20216 - 20216 + 15*c**3 + 80*c**2.
-5*c*(c - 6)*(c + 1)*(c + 2)
Let r(h) be the first derivative of -h**4 - 6860*h**3/3 - 6854*h**2 - 6852*h - 4326. Suppose r(c) = 0. What is c?
-1713, -1
Let v(x) be the second derivative of -4 - 5/2*x**2 - 37/12*x**3 - 7/24*x**4 + x. Factor v(a).
-(a + 5)*(7*a + 2)/2
Suppose -2*u - 12 = -10. Let h(q) = -10*q - 4. Let w be h(u). Factor w*k + 0*k - 4*k**2 - 2*k - 8*k.
-4*k*(k + 1)
Let m be (4886 - 4878)/(14/16). Find g, given that 40/7 - 20/7*g**3 + m*g - 2/7*g**4 + 6/7*g**2 = 0.
-10, -1, 2
Let h be (-12)/24*(-2)/(-5)*-25. Factor 29*p**3 - h*p**4 + 20*p**4 - 12*p**5 - 11*p**3.
-3*p**3*(p - 2)*(4*p + 3)
Let b be -1*(3 - 35/11)*11. Solve 148*k**2 - 43*k + 12*k**b - 52*k**3 - 14*k + 4*k**4 - 87*k = 0 for k.
0, 2, 9
Let o = -358 - -361. Let -226*u**2 + 65*u + 42*u**2 - 44*u**o - 27*u - 246*u - 32 = 0. Calculate u.
-2, -2/11
What is p in -77/5*p**2 + 151/5*p + 1/5*p**3 - 15 = 0?
1, 75
Suppose -11*c = -4*c - 84. Suppose 9*p = 4*z + 4*p - c, 4*p + 15 = 5*z. Factor -4*s**z - 24*s**2 - 41*s + 50*s + 19*s.
-4*s*(s - 1)*(s + 7)
Let z(k) = -5*k**3 - 375*k**2 + 6*k - 3. Let f(l) = 9*l**3 + 743*l**2 - 10*l + 5. Let p(j) = 3*f(j) + 5*z(j). Factor p(n).
2*n**2*(n + 177)
Let w(n) be the first derivative of n**6/12 - 2*n**5 - 3*n**4 + 31*n**3/3 + 23*n**2/4 - 21*n - 4665. Solve w(h) = 0 for h.
-2, -1, 1, 21
Let l(k) = -k**2 + 442*k - 5554. Let z be l(13). Let v(r) be the first derivative of 1/12*r**4 - 4/9*r**3 - 1/6*r**2 + z + 4/3*r. Factor v(p).
(p - 4)*(p - 1)*(p + 1)/3
Let r(a) = -77*a**2 - 2769*a + 112. Let f be r(-36). Suppose 0 - 2/5*b + 4/5*b**3 - 2/5*b**5 + 0*b**f + 0*b**2 = 0. Calculate b.
-1, 0, 1
Let q(n) be the second derivative of 3*n**5/80 + 61*n**4/4 + 14637*n**3/8 - 45387*n**2/4 + 688*n. Find f such that q(f) = 0.
-123, 2
Let j(w) = 14*w**4 + 64*w**3 - 282*w**2 + 222*w + 6. Let v(u) = -3*u**4 + u**2 - u - 1. Let t(y) = j(y) + 6*v(y). Suppose t(b) = 0. What is b?
0, 1, 6, 9
Suppose -16*b - 4*j - 6 = -14*b, -4*j = -3*b + 21. Let x(s) be the first derivative of -8/3*s + 7 - s**2 + 2/9*s**b. What is t in x(t) = 0?
-1, 4
Let q = -709518 + 709521. Factor 2*n**q + 1/4*n**4 + 6*n + 9/4 + 11/2*n**2.
(n + 1)**2*(n + 3)**2/4
Let m = 347 + -347. Suppose -6*z - 63 + 75 = m. Factor -2/17*v**5 + 0 + 0*v + 2/17*v**3 + 2/17*v**z - 2/17*v**4.
-2*v**2*(v - 1)*(v + 1)**2/17
Let a(g) be the second derivative of -g**4/42 + g**3/3 + 8*g**2/7 + 495*g. Factor a(z).
-2*(z - 8)*(z + 1)/7
Factor 1/4*g**2 + 33489 + 183*g.
(g + 366)**2/4
Let b(c) be the first derivative of 2*c**3/45 - 1444*c**2/15 + 3715. What is x in b(x) = 0?
0, 1444
Let z = -2129/2 - -57493/54. Let v(u) be the first derivative of -2 - 2/3*u**4 + 4/5*u**5 + 0*u - z*u**6 - 16/27*u**3 + 0*u**2. Let v(g) = 0. What is g?
-2/5, 0, 2
Let o = 75 + -84. Let f be (-1)/(12/o*(-2)/(-8)). What is l in l**2 + 0 + 3 + 5*l - 12*l + f = 0?
1, 6
Let c(i) be the first derivative of 21*i**4/4 - 500*i**3/3 - 621*i**2/2 - 100*i + 697. Factor c(t).
(t - 25)*(t + 1)*(21*t + 4)
Let y(v) = v**3 - v**2 + v - 2. Let l be y(2). Suppose 0 = -l*d + 5*x + 21, 0 = -d - 2*d + x + 13. Factor -8*b - 6*b**2 - 23*b**3 + b**4 + b**d + 8 + 27*b**3.
2*(b - 1)**2*(b + 2)**2
Let n(v) = 10*v**5 - 50*v**4 + 342*v**3 - 254*v**2. Let s(x) = 3*x**5 - 17*x**4 + 114*x**3 - 85*x**2. Let b(d) = -5*n(d) + 16*s(d). Let b(h) = 0. Calculate h.
-15, 0, 1, 3
Let h(b) be the third derivative of -13*b**5/60 + 55*b**4/8 + 28*b**3 - 3*b**2. Let f(i) = -6*i**2 + 82*i + 84. Let y(m) = 5*f(m) - 2*h(m). Factor y(n).
-4*(n - 21)*(n + 1)
Factor -207 - 3/2*x**2 + 147/2*x.
-3*(x - 46)*(x - 3)/2
Let n(b) be the first derivative of -3/4*b**3 + 11*b + 1/40*b**5 + 27/4*b**2 - 1/8*b**4 + 17. Let x(h) be the first derivative of n(h). Factor x(z).
(z - 3)**2*(z + 3)/2
Let i be (16 - 38) + 15 + 10. Suppose 3/5*b**i - 72/5*b - 9/5*b**2 - 84/5 = 0. Calculate b.
-2, 7
Let i(h) be the third derivative of -1/30*h**6 + 0*h**4 + 0*h + 0*h**5 + 1 + 0*h**3 + 0*h**7 + 4*h**2 + 1/84*h**8. Factor i(q).
4*q**3*(q - 1)*(q + 1)
Determine p, given that 148*p + 72/5*p**3 + 2/5*p**4 + 336/5 + 474/5*p**2 = 0.
-28, -6, -1
Let j(t) be the third derivative of t**2 - 1/1995*t**7 + 17/570*t**5 + 24*t + 0*t**3 - 7/1140*t**6 - 3/76*t**4 + 0. Factor j(h).
-2*h*(h - 1)**2*(h + 9)/19
Let x(j) be the first derivative of 5/2*j**2 + 0*j - 5/4*j**4 - j**5 - 77 + 5/3*j**3. Factor x(d).
-5*d*(d - 1)*(d + 1)**2
Let x(h) = -8*h**3 + 412*h**2 + 183*h + 3. Let j(o) = -o**3 - o**2 + 61*o + 1. Let n(t) = -3*j(t) + x(t). Determine b, given that n(b) = 0.
0, 83
Factor 4410*t**3 + 70500*t**2 + 447/5*t**4 + 0 - 75000*t + 3/5*t**5.
3*t*(t - 1)*(t + 50)**3/5
Factor 43706*f**2 - 735216*f - 736178*f**4 + 736469*f**4 + 8832*f**3 + 3*f**5 - 1650768 + 17902*f**2.
3*(f - 7)*(f + 2)*(f + 34)**3
Let g(u) be the first derivative of 114 + 0*u - 2/3*u**6 - 72*u**2 - 112*u**3 - 56/5*u**5 - 61*u**4. Factor g(z).
-4*z*(z + 1)**2*(z + 6)**2
Let s be 2 + 24/(-15) - (-10)/(-25). Suppose -3*j = 2*r - 31 - 19, 2*j - 2*r - 30 = s. Solve 5 - 5*a**2 - 8*a**2 - 5*a + j*a**2 - 8*a**2 + 5*a**3 = 0 for a.
-1, 1
Let g(c) be the second derivative of c**7/105 - 7*c**6/75 + 7*c**5/50 + 19*c**4/30 - 16*c**3/15 - 4*c**2 + 127*c. Find d, given that g(d) = 0.
-1, 2, 5
Let y(h) be the third derivative of h**8/672 + h**7/420 - h**6/16 - 5*h**5/24 + 7*h**4/24 + 2*h**3 + 319*h**2. Solve y(n) = 0.
-3, -2, -1, 1, 4
Let o = 9 + -6. Suppose -4*c - 5*u = -27, 2*c + 9 = -18*u + 23*u. Factor 48 - 9*i**2 - 48 + c*i**o + 6*i.
3*i*(i - 2)*(i - 1)
Let c(k) = 3225*k - 196723. Let n be c(61). Factor -2/5*f**n + 2/5*f + 24/5.
-2*(f - 4)*(f + 3)/5
Let j(o) = 35*o**2 + 3*o**2 + 6904 + 8669 + 864*o - 5*o**2. Let x(b) = 8*b**2 + 216*b + 3893. Let g(n) = 5*j(n) - 21*x(n). Suppose g(w) = 0. Calculate w.
-36
Let b(m) = m**2 + 246*m - 2862. Let g(t) = 