.
2*(d + 1)**3*(d + 3)/7
Let p(s) be the third derivative of 0*s + 1/30*s**5 - 1/90*s**6 + 0 + 7*s**2 - 2*s**3 + 0*s**4. Let r(n) be the first derivative of p(n). Factor r(a).
-4*a*(a - 1)
Let y(q) be the third derivative of q**7/70 - q**6/40 - 3*q**5/20 + q**4/8 + q**3 - 4*q**2 - 46*q. Factor y(a).
3*(a - 2)*(a - 1)*(a + 1)**2
Let u(o) be the first derivative of -42*o**5/5 + 19*o**4 - 2*o**3/3 - 28*o**2 + 24*o + 235. Determine i so that u(i) = 0.
-6/7, 2/3, 1
Suppose 0*g + 3*g = 0, 4 = l - g. Let t be 3*(-1)/(-18 + (7 - l)). Solve t - 3/5*n - 1/5*n**3 + 3/5*n**2 = 0 for n.
1
Suppose -4*s - 256 = 5*p + 8, -s + 116 = -2*p. Let n = -36 - p. Solve 7*m + 10*m**2 - 5*m**3 - 5*m**2 + 13*m - n = 0.
-2, 1, 2
Let d(t) be the third derivative of t**6/120 - 7*t**5/20 - 11*t**4/12 - t**2 + 48. Determine j, given that d(j) = 0.
-1, 0, 22
Let w(a) = a**2 + 6*a - 7. Let x(y) = -3*y**2 - 21*y + 24. Let g be ((-6)/(-3) - 19) + -1. Let i(q) = g*w(q) - 5*x(q). Solve i(t) = 0 for t.
-2, 1
Factor -2112*o - 11*o**4 - 14*o**4 + 60*o**3 - 45*o**2 + 2122*o.
-5*o*(o - 1)**2*(5*o - 2)
Factor 37/2*q - 18 - 1/2*q**2.
-(q - 36)*(q - 1)/2
Suppose 15*f + 7*f = -16*f. Find m such that 7/4*m**5 + 27/2*m + 243/4*m**2 + f + 65/4*m**4 + 207/4*m**3 = 0.
-3, -2/7, 0
Let a(s) = 7*s**3 + 9*s**2 - 36*s + 17. Let c(x) = -20*x**3 - 28*x**2 + 108*x - 52. Let p(f) = -8*a(f) - 3*c(f). What is j in p(j) = 0?
-5, 1
Let t be -1 + (-16)/((-20)/5). Let q**2 - 31*q**3 + 2*q**2 + 3*q**4 + 25*q**t = 0. Calculate q.
0, 1
Let n(y) = -9*y**4 - 49*y**3 - 72*y**2 + 18*y - 3. Let r(t) = -18*t**4 - 97*t**3 - 145*t**2 + 36*t - 7. Let w(s) = 14*n(s) - 6*r(s). What is j in w(j) = 0?
-3, 0, 2/9
Let k(l) be the first derivative of 3*l**4/4 - 3*l**3 - 9*l**2 + 24*l - 74. Determine c so that k(c) = 0.
-2, 1, 4
Suppose -2*f + 4 = 0, 0 = -c + 2*f - 4*f + 34. What is a in 30 - 6*a - 21*a**2 - 30*a**3 - c - 3*a**5 + 3*a**3 - 15*a**4 = 0?
-2, -1, 0
Suppose -2*q**2 - 30*q + 339171 - q**2 - 339219 = 0. What is q?
-8, -2
Suppose 0 = d - 5*d + 12. Factor 50*r + 49*r - r**d - 102*r - r**4 + 5*r**2.
-r*(r - 1)**2*(r + 3)
Let c = -3265 + 22858/7. Find w, given that -9/7*w**3 - 3/7*w - 9/7*w**2 + 0 - c*w**4 = 0.
-1, 0
Suppose -4*c = -3*y + c + 21, -4*y - c = -5. Factor 4 + 14*a**3 - 3*a - a + 10*a - 24*a**y.
2*(a - 1)**2*(7*a + 2)
Let p be 4/(-1)*(648/1232 - (-20)/(-35)). Solve p - 2/11*b**3 + 2/11*b - 2/11*b**2 = 0.
-1, 1
Let t be 1 - (-1)/(-2) - 665/2090. Factor -t*g**2 + 2/11*g**3 + 2/11 - 2/11*g.
2*(g - 1)**2*(g + 1)/11
Let p(u) be the third derivative of 0*u**3 - 40*u**2 + 0 + 0*u**5 + 0*u + 1/180*u**6 - 1/36*u**4. Factor p(w).
2*w*(w - 1)*(w + 1)/3
Let b(m) = -5*m**2 + 58*m - 29. Let g be b(11). Factor -15/4*t**2 + 2*t - 3/8 + 3*t**3 - 7/8*t**g.
-(t - 1)**3*(7*t - 3)/8
Suppose 0*q + 4*n = 4*q - 4, 2*q = -5*n + 30. Suppose -3*b + 6 = 5*m - 34, -2*m + 3*b - q = 0. Factor -6*d**2 + 4*d**3 + 0*d**m - 4*d**5 - 4*d**4 + 10*d**2.
-4*d**2*(d - 1)*(d + 1)**2
Suppose -12*y = -y. Let f(x) be the second derivative of 1/20*x**4 - 6/25*x**5 + 0 + y*x**2 + 1/5*x**3 + 1/10*x**6 + 8*x. Factor f(j).
3*j*(j - 1)**2*(5*j + 2)/5
Factor -1/5*v**2 + 21/5 - 4*v.
-(v - 1)*(v + 21)/5
Suppose -8 = -5*v + v, -3*t + v + 34 = 0. Find z such that t*z**2 - 15*z + 3*z - 36 - 15*z**2 - 27*z = 0.
-12, -1
Let x be 1/((-27)/(-12))*2. Let i be ((-14)/(-77))/((-54)/(-66)). Factor 0 + 0*h**2 - x*h + i*h**3.
2*h*(h - 2)*(h + 2)/9
Factor 2*d**2 + 0*d + 5/2*d**3 + 0.
d**2*(5*d + 4)/2
Let c(z) be the third derivative of z**7/105 + 13*z**6/60 + 3*z**5/5 - 40*z**4/3 + 128*z**3/3 + 52*z**2 - z. Determine t, given that c(t) = 0.
-8, 1, 2
Let t(u) be the second derivative of -u**7/14 - 3*u**6/5 + 21*u**5/20 + 67*u. Factor t(v).
-3*v**3*(v - 1)*(v + 7)
Let m(a) be the third derivative of a**8/16800 - a**7/2100 + a**6/900 - 7*a**4/12 + 15*a**2. Let v(w) be the second derivative of m(w). Factor v(n).
2*n*(n - 2)*(n - 1)/5
Suppose 98/13*b**3 + 56*b**2 - 440/13*b + 64/13 = 0. What is b?
-8, 2/7
Suppose -11552/17 - 304/17*z - 2/17*z**2 = 0. Calculate z.
-76
Suppose -79*j + 318 = -26*j. Let d(u) be the second derivative of -8*u + 0*u**2 - 1/6*u**j - 5/14*u**7 - 5/3*u**3 + 9/4*u**5 - 5/4*u**4 + 0. Solve d(n) = 0.
-2, -1/3, 0, 1
Suppose 102 = -14*m + 31*m. Let l(p) be the third derivative of 0 + 0*p + 1/2*p**4 + 1/80*p**m + 7/40*p**5 - 4*p**3 + 9*p**2. Suppose l(q) = 0. What is q?
-4, 1
Let c(d) be the second derivative of d**6/6 + 9*d**5/2 + 265*d**4/12 - 50*d**3 - 630*d**2 + 60*d. Find k such that c(k) = 0.
-14, -3, 2
Let r(j) be the third derivative of -j**7/15 - 3*j**6/5 - 9*j**5/10 + 13*j**4/6 + 8*j**3 + 151*j**2 - 1. Find s such that r(s) = 0.
-4, -1, 6/7
Let w(n) be the second derivative of 18*n**2 + 3*n - 2*n**3 + 1/12*n**4 + 0. Suppose w(y) = 0. Calculate y.
6
Suppose -5*i + 22 = 6*i. Factor -16/11*h**i + 6/11*h + 4/11 + 6/11*h**3.
2*(h - 2)*(h - 1)*(3*h + 1)/11
Find u such that 1/4*u**4 - 9/2*u + 11*u**2 - 45/4 + 9/2*u**3 = 0.
-15, -3, -1, 1
Let l be (2257/20 - 0) + (-2)/8. Let w = -111 + l. Find c such that -14/5*c + 8/5*c**3 - 4/5 - w*c**2 = 0.
-1/2, 2
Let p(s) = -5*s**3 - s**2 + 40*s + 56. Let c(h) = 117 + 80*h - 4 - 6*h**3 - 4*h**3 - 3*h**2. Let g(k) = 4*c(k) - 7*p(k). Factor g(y).
-5*(y - 3)*(y + 2)**2
Let s be 15/(-24) + 1 - 261/(-8). Let 0*a**2 - 17 + s - 12*a**2 + 5*a**4 - 16*a + 8*a**3 - a**4 = 0. Calculate a.
-2, 1
Determine o so that -10/9*o + 4/3 - 2/9*o**2 = 0.
-6, 1
Suppose 9*q = 5*q. Let k = 2 - q. Let 17*h**k + 4*h + 0*h - 15*h**2 = 0. What is h?
-2, 0
Suppose 3*j**4 + 82*j**2 - 4*j**5 - 86*j**2 + 4*j**4 - 3*j**4 + 4*j**3 = 0. Calculate j.
-1, 0, 1
Factor -6241/4 - 1/4*s**2 + 79/2*s.
-(s - 79)**2/4
Let d(x) = x + 13. Let j be d(-4). Factor -35*s**2 + j*s + 35*s**3 - 10*s**4 - 27*s + 28*s.
-5*s*(s - 2)*(s - 1)*(2*s - 1)
Suppose 3*n - z = 10, 36*n - 33*n - 14 = 5*z. Determine i so that i + 2 - 1/4*i**n + 1/4*i**4 - 3/2*i**2 = 0.
-2, -1, 2
Let q = 62 + -55. Suppose a - 5*v - q = 0, 0*v - 3*v - 5 = -a. Factor -1/4 + 1/2*t + 0*t**a - 1/2*t**3 + 1/4*t**4.
(t - 1)**3*(t + 1)/4
Let f be 9/(-12) + 676/272. Let x = f + -4/17. Factor -3/4*l**5 + x*l**2 + 9/4*l - 3/2*l**3 - 9/4*l**4 + 3/4.
-3*(l - 1)*(l + 1)**4/4
Suppose 0*g = 9*g - 7*g - 140. Suppose 0 + 10*j**3 + g*j**4 + 245/2*j**5 + 0*j**2 + 0*j = 0. What is j?
-2/7, 0
Let j = 290407/14 + -20764. Let t = -134/7 - j. Determine q so that -1/2*q**2 + t*q - 1 = 0.
1, 2
Let c be 66/18 + 1/3. Suppose 0 = c*x - 9*x + 10. Determine p so that -6 - 12 - 60*p**x + 2 - 72*p + 50*p**3 = 0.
-2/5, 2
Let i be 11 + 2/((-8)/(-96)*-4). Let n(z) be the third derivative of 1/15*z**i + 1/6*z**4 + 0*z + 1/90*z**6 + 2/9*z**3 + 0 + 2*z**2. Find m such that n(m) = 0.
-1
Factor -73*s + 1/2*s**4 - 23*s**3 - 72*s**2 - 49/2.
(s - 49)*(s + 1)**3/2
Let v(t) be the second derivative of -1/45*t**6 + 1/18*t**4 + 4*t + 0 + 0*t**3 - 1/30*t**5 + 0*t**2 + 1/63*t**7. Solve v(a) = 0.
-1, 0, 1
Suppose 21*v + 13459 = 13522. Factor -5/2*i**2 - 9/2*i + 9/2*i**v - 1 + 7/2*i**4.
(i - 1)*(i + 1)**2*(7*i + 2)/2
Let j = 351 + -345. Let w(f) be the second derivative of -5*f + 0*f**j + 0 + 1/5*f**5 + 0*f**4 - 1/21*f**7 + 0*f**2 - 1/3*f**3. Factor w(g).
-2*g*(g - 1)**2*(g + 1)**2
Suppose 5*s - 4 = 1. Let d = 62002/3 + -20665. Determine i so that -d*i + s - 1/3*i**3 + 5/3*i**2 = 0.
1, 3
Let d(r) = -r**5 - 12*r**4 + 2*r**3 + 11*r**2 - r. Let u(t) = t**3 - t**2 - t. Let l(c) = -2*d(c) + 2*u(c). Determine h, given that l(h) = 0.
-12, -1, 0, 1
Let a(l) be the third derivative of -l**6/40 - 81*l**5/10 - 2187*l**4/2 - 78732*l**3 + 621*l**2. Suppose a(m) = 0. What is m?
-54
Let d(x) be the third derivative of -x**6/160 - 41*x**5/80 - 11*x**4 + 363*x**3/2 - 144*x**2. Determine m so that d(m) = 0.
-22, 3
Let t(s) be the second derivative of -s**4/20 - 63*s**3/5 - 11907*s**2/10 + s - 1. Factor t(y).
-3*(y + 63)**2/5
Suppose 3*i - 8 = 4. Let 4*q**2 - 176*q + 176*q - q**4 - i*q**5 - 3*q**4 + 4*q**3 = 0. What is q?
-1, 0, 1
Let m be (54/4 - 2/4)*1. Suppose 12*k**3 - 5*k**2 - 3 - m*k**3 + 4*k**2 + 5*k + 0 = 0. Calculate k.
-3, 1
Let l(w) be the third derivative of 15*w**8/112 - 6*w**7/7 + 17*w**6/24 + 43*w**5/6 - 145*w**4/6 + 100*w**3/3 - 3*w**2 - 30. Determine u, given that l(u) = 0.
-5/3, 2/3, 1, 2
Let v = -4 + 7. Let o be 1 + (7/(-28))/(v/4). What is z in -o*z**3 - 