
1, 9
Let d(i) be the third derivative of i**7/504 - 7*i**6/72 - 5*i**5/8 + 4*i**4/3 - i**2. Let o(g) be the second derivative of d(g). Factor o(r).
5*(r - 15)*(r + 1)
Factor -105/2*i - 1/2*i**2 - 202.
-(i + 4)*(i + 101)/2
Let w(j) be the third derivative of 0*j**3 - 15*j + 0 - 1/525*j**7 - 17/10*j**5 - 6*j**2 - 289/60*j**4 + 11/100*j**6. Factor w(k).
-2*k*(k - 17)**2*(k + 1)/5
Let n(i) be the second derivative of -i**7/105 - i**6/15 + 31*i**5/50 + 41*i**4/30 - 46*i**3/5 - 144*i**2/5 - 2816*i. Solve n(y) = 0 for y.
-8, -2, -1, 3
Let a(s) = -7*s**3 - s**2 + 3*s + 3. Let d be a(3). Let i be 0 + 0 + d/(-465). Factor 0*o**2 + 4/15 - i*o + 2/15*o**3.
2*(o - 1)**2*(o + 2)/15
Factor 37/5*a + 0 - 1/5*a**2.
-a*(a - 37)/5
Factor 192/7 - 2/7*x**3 + 104/7*x + 0*x**2.
-2*(x - 8)*(x + 2)*(x + 6)/7
Let k = -10500 - -325530/31. Let f = -148/217 + k. Let -2/7 + 4/7*d**2 + f*d = 0. What is d?
-1, 1/2
Let f be 1/((-36)/(-99)) - 6/8. Let n = 13195 - 13195. Solve -1/6*o + 1/6*o**3 + 1/6*o**f - 1/6*o**4 + n = 0 for o.
-1, 0, 1
Let c = -21988 + 21994. Let n(b) be the first derivative of -2*b**3 + 3/2*b**2 - 3/4*b**4 + c*b + 2. Solve n(r) = 0 for r.
-2, -1, 1
Suppose 0 = 2*h - 5*p - 30, 29045*h - 4*p = 29046*h - 28. Factor 58/3*b**2 + 16/3 + h*b + 5/6*b**4 + 7*b**3.
(b + 2)**2*(b + 4)*(5*b + 2)/6
Suppose -2*k = -f - k + 876, 5*k - 3477 = -4*f. Solve f - 363*m**2 - 72*m - 69*m**2 - 876 = 0 for m.
-1/12
Factor -756 + 3/2*i**2 - 141/2*i.
3*(i - 56)*(i + 9)/2
Suppose -21*q = 5*u - 26*q - 110, -2*q = u - 22. Let n(w) be the first derivative of 1/22*w**2 + u - 1/33*w**3 + 1/11*w - 1/44*w**4. Solve n(g) = 0 for g.
-1, 1
Let z(x) = 8*x**3 + 173*x**2 + 1090*x - 1304. Let u(w) = -3*w**3 - 58*w**2 - 363*w + 436. Let d(j) = 11*u(j) + 4*z(j). Solve d(r) = 0.
-7, 1, 60
Let k(r) be the first derivative of -r**4/7 + 104*r**3/21 - 128*r**2/7 - 6144*r/7 + 980. Solve k(o) = 0 for o.
-6, 16
Let g be ((-90)/12)/(1/(-2)). Suppose -17 = -i - g. Let 53*m**2 - 16*m - 145*m**2 - 16*m**3 + 65*m**2 + 4*m**4 + 51*m**i + 4 = 0. What is m?
1
Let j be (2 + -2)/(-16)*2/4. Let g(b) be the third derivative of 1/300*b**6 + 0 + 0*b - 1/525*b**7 - 19*b**2 + j*b**5 + 0*b**3 + 0*b**4. Factor g(d).
-2*d**3*(d - 1)/5
Let r = 136 - 118. Factor 377*x - 459*x + 10 + r - 6*x**2.
-2*(x + 14)*(3*x - 1)
Solve 12*p + 109/3*p**3 + 0 + p**5 - 31/3*p**4 - 47*p**2 = 0.
0, 1/3, 3, 4
Factor 0 + 24/7*n + 2*n**3 + 40/7*n**2.
2*n*(n + 2)*(7*n + 6)/7
Suppose 5*f - 69 = -4*o, 5 = -f + 2*f. Suppose -b = -2*y - 13, 0 = -4*b + 5*y + 26 + o. Factor -3/4*i**2 + 3/4*i - 3/4*i**b + 3/4.
-3*(i - 1)*(i + 1)**2/4
Let c = 176 + -49. Let b = 129 - c. Determine f, given that 15/7*f**b + 125/7 + 75/7*f + 1/7*f**3 = 0.
-5
Let z(k) be the first derivative of k**4/6 - 28*k**3/9 + 40*k**2/3 + 6879. Determine s so that z(s) = 0.
0, 4, 10
Let c = -271/31 + 1681/93. Let o(j) be the second derivative of 0 + 1/3*j**4 - c*j**3 + 98*j**2 + 38*j. Factor o(r).
4*(r - 7)**2
Let d(t) be the first derivative of t**3 - 129*t**2/2 - 720*t + 832. Let d(u) = 0. What is u?
-5, 48
Let z(j) be the second derivative of -j + 5 + 9/10*j**5 - 99/2*j**2 - 23/3*j**4 + 29*j**3 - 1/30*j**6. Factor z(w).
-(w - 11)*(w - 3)**2*(w - 1)
Let b(x) be the second derivative of x**5/75 + 37*x**4/30 + 231*x**2/2 + 126*x. Let k(h) be the first derivative of b(h). Factor k(u).
4*u*(u + 37)/5
Let y(i) be the first derivative of -1/8*i**4 - 39 - i**3 - 11/4*i**2 - 3*i. Factor y(z).
-(z + 1)*(z + 2)*(z + 3)/2
Let h(v) be the first derivative of v**7/210 - v**6/6 + 5*v**5/2 - 125*v**4/6 + 11*v**3 - 102. Let x(t) be the third derivative of h(t). Factor x(s).
4*(s - 5)**3
Let z(n) be the third derivative of 0*n + 0 + 0*n**3 - 3/35*n**5 - 77*n**2 - 1/280*n**6 - 9/14*n**4. What is w in z(w) = 0?
-6, 0
Let w(v) be the first derivative of 5*v**3/3 + 4450*v**2 - 8905*v + 11371. Solve w(c) = 0.
-1781, 1
Let a(g) be the second derivative of -g**7/14 + 27*g**6/10 + 843*g**5/20 - 7167*g**4/4 - 15548*g**3 - 47610*g**2 - 872*g. Let a(p) = 0. What is p?
-15, -2, 23
Let q(o) be the second derivative of 7/15*o**5 + 2/63*o**7 - 2 - 46*o - 16/9*o**3 - 2/9*o**6 + 8/3*o**2 + 1/9*o**4. Suppose q(x) = 0. Calculate x.
-1, 1, 2
Factor 4908*p**3 - 1326*p**4 + 2641*p**4 + 1503072*p**2 - 1507984*p - 1311*p**4.
4*p*(p - 1)*(p + 614)**2
Let y = -35303/12 + 2942. Let w(r) be the first derivative of -1/16*r**4 + 0*r + 1/4*r**2 + y*r**3 + 13. Factor w(l).
-l*(l - 2)*(l + 1)/4
Let t(j) be the first derivative of j**4/36 - 82*j + 17. Let c(p) be the first derivative of t(p). Suppose c(b) = 0. What is b?
0
Let k be 1 - (3/(-6) - 0)*6. Let -49*g**3 + 4*g**4 - 43*g**3 + k*g**2 + 100*g**3 = 0. What is g?
-1, 0
Let g be -8*(-3)/(-3) - (-52 + 54 - 14). Determine b, given that g + 20/7*b**2 - 2/7*b**3 - 46/7*b = 0.
1, 2, 7
Let 28*k - 294 - 1/2*k**2 = 0. Calculate k.
14, 42
Let n = -13 + 863. Solve -855*q**5 - 80 - 20*q**2 - 140*q + 22*q**4 + 55*q**3 + n*q**5 - 12*q**4 = 0 for q.
-2, -1, 2, 4
Let r(g) be the second derivative of g**5/5 + 59*g**4 + 5394*g**3 + 45414*g**2 + 2*g - 946. Factor r(x).
4*(x + 3)*(x + 87)**2
Factor 12/5*j**3 + 0 - 146/5*j**2 + 24/5*j.
2*j*(j - 12)*(6*j - 1)/5
Factor 49/2 + 389/6*t + 79/2*t**2 - 5/6*t**3.
-(t - 49)*(t + 1)*(5*t + 3)/6
Suppose -55/2*o**3 + 115/2*o**2 + 25*o - 40 + 5/2*o**5 - 35/2*o**4 = 0. Calculate o.
-2, -1, 1, 8
Let y(i) be the first derivative of i**5/210 - 2*i**4/3 + 112*i**3/3 + i**2/2 + 24*i + 16. Let g(q) be the second derivative of y(q). Solve g(c) = 0 for c.
28
Let l(a) be the first derivative of 7*a**6/40 - 111*a**5/10 + 216*a**4 + 256*a**3 - 259*a**2/2 + 251. Let h(d) be the second derivative of l(d). Factor h(z).
3*(z - 16)**2*(7*z + 2)
Suppose -959 = -18*j + 355. Suppose 42*t - 95 = j. Let 0*y + 0 - 2/7*y**2 - 2/7*y**t - 4/7*y**3 = 0. Calculate y.
-1, 0
Let x(r) be the second derivative of 2*r**6/15 + r**5/20 - r**4/3 - r**3/6 - 12*r + 362. Solve x(b) = 0 for b.
-1, -1/4, 0, 1
Solve -4225*s**2 - 3*s**4 - 905*s**3 - 2401*s + 935*s**2 - 2019*s + 840*s - 1192 = 0.
-298, -2, -1, -2/3
Let c = 396615 + -396612. Let -24/7*b**2 + 2/7*b**4 + 0*b + 16/7*b**c + 0 - 2/7*b**5 = 0. Calculate b.
-3, 0, 2
Suppose 1456*x - 4777 - 1998 = -951. Find a, given that 8/9*a**3 + 0 - 2/9*a - 4/9*a**x + 4/9*a**2 - 2/3*a**5 = 0.
-1, 0, 1/3, 1
Let f(k) = -13*k - 101. Let a be f(-8). Suppose 2*g = -a*o + 11, 7*g - 11*g + 3*o = -13. Find b such that g*b**2 - 2/5*b**3 - 64/5*b + 64/5 = 0.
2, 4
Let u(z) be the first derivative of 17/10*z**5 + 7/36*z**6 - 2/9*z**3 - 10*z**2 - 103 + 49/12*z**4 - 16/3*z. Find h, given that u(h) = 0.
-4, -2, -2/7, 1
Let h(o) be the second derivative of -o**6/180 + o**5/10 + 4*o**4/3 - 49*o**3/6 - 29*o. Let y(s) be the second derivative of h(s). Factor y(l).
-2*(l - 8)*(l + 2)
Suppose -12 = -6*d + 18. Suppose 0 = -a + 2, -3*c = -d*a + 13 - 6. Factor -6*k**2 + 8 + 1 - c + 5*k**3 - 3*k**3.
2*(k - 2)**2*(k + 1)
Let p(v) = -4*v**4 - 28*v**3 + 24*v**2 + 554*v - 796. Let k(q) = -16*q**4 - 114*q**3 + 94*q**2 + 2217*q - 3182. Let x(w) = 6*k(w) - 23*p(w). Factor x(j).
-4*(j - 2)**2*(j + 7)**2
Let 542/13*v - 2/13*v**2 - 1608/13 = 0. Calculate v.
3, 268
Let w(f) be the first derivative of f**6/4 - 3231*f**5/20 + 4833*f**4/16 + f**3/4 - 1611*f**2/8 - 13139. Suppose w(k) = 0. What is k?
-1/2, 0, 1, 537
Let k(n) be the third derivative of n**5/40 + 67*n**4/16 + 48*n**3 - 467*n**2 + 2*n. Solve k(l) = 0.
-64, -3
Let b(j) = 18*j - 103. Let h be b(6). Let z(x) be the third derivative of -1/24*x**4 - 1/120*x**h + 0*x + 0 - 2*x**2 + 0*x**3. Factor z(w).
-w*(w + 2)/2
Factor 0*c - 30*c**2 + 1/2*c**4 + 0 - 59/2*c**3.
c**2*(c - 60)*(c + 1)/2
Let h be 2/(-7) + (-177)/(-7). Suppose -2*x + h = 17. Let -15*j**4 + 10*j**3 + 0*j**2 - 6*j - 8*j + 15*j**2 + x*j = 0. What is j?
-1, 0, 2/3, 1
Let h be (217/1736)/(-3*(37/8 + -5)). Factor 1/9*z**2 - 2/3 + h*z.
(z - 2)*(z + 3)/9
Let x(y) be the second derivative of y**4/6 - 1100*y**3/3 + 302500*y**2 - y - 73. Determine l so that x(l) = 0.
550
Let z = 193930/7 + -27704. Factor z*j**2 + 30/7 + 32/7*j.
2*(j + 1)*(j + 15)/7
Suppose 0 = -2*m + w + 6, 16*w + 12 = 3*m + 13*w. Suppose -4*q = -4*r + 8, r + m*q - 2 = -0*r. Factor 0*y - 2/13*y**r + 2/13.
-2*(y - 1)*(y + 1)/13
Let y(v) = v**2 - 648*v + 5123. Let h be y(8). Let 2/5*g**4 + 8/5*g + 0 - 34/15*g**h - 16/15*g*