39*p**3 - 15*p**4 - 58*p + v*p + 6 - 27*p**2 + 27*p.
-3*(p + 1)**3*(5*p - 2)
Suppose -2*j - 4*t + 86 = 0, -5*t + 55 = -6*j + 7*j. Let i be 2556/21 + 10/j. Let 15*a**3 + 21*a**2 + 20 - i*a + 19*a**2 + 47*a = 0. Calculate a.
-4, 1/3, 1
Suppose o + 2*q + 524 = 510, -q - 7 = 3*o. Factor o*y + 1/4*y**2 - 9/4.
(y - 3)*(y + 3)/4
Let x(w) be the third derivative of -w**6/1320 + 19*w**5/330 - 425*w**4/264 + 578*w**3/33 + 486*w**2. Solve x(c) = 0.
4, 17
Let t = -1701 + 1703. Let h(d) be the first derivative of 0*d**4 - 1/3*d**3 + 1/2*d + 10 + 1/10*d**5 + 0*d**t. Find c such that h(c) = 0.
-1, 1
Let k(h) be the first derivative of 5/4*h**2 + 0*h - 5/3*h**6 + 15/8*h**4 + 25/6*h**3 - 5/2*h**5 + 72. Determine s so that k(s) = 0.
-1, -1/4, 0, 1
Let d(o) be the first derivative of -o**6/27 - 4*o**5/5 - 47*o**4/18 - 20*o**3/9 - 15311. Suppose d(k) = 0. What is k?
-15, -2, -1, 0
Let t(d) be the first derivative of -8*d**3/3 + 19*d**2/3 - 14*d/3 - 1934. Determine g so that t(g) = 0.
7/12, 1
Let q = 385245 - 385243. Determine s so that 864 + 2/3*s**q - 48*s = 0.
36
Let u(h) = -h**2 + 8*h - 148. Let n be u(-16). Let r be 342/n*(-42)/4. Let -9/2 - r*d**2 - 87/4*d = 0. What is d?
-3, -2/9
Let -24 - 48 - 18786*d + 9404*d + 9412*d - 3*d**4 + 45*d**2 = 0. What is d?
-3, -2, 1, 4
Let c be ((-6)/(-5))/((-16)/20)*97/(-194). Factor c*w**2 + 3 - 3*w.
3*(w - 2)**2/4
Factor 8*w**2 - 7605 - 5*w**3 - 1026*w - 2132*w - 4057*w + 377*w**2.
-5*(w - 39)**2*(w + 1)
Let b(g) be the second derivative of -g**5/20 - 49*g**4/12 + 3*g**3/2 + 441*g**2/2 + 277*g - 4. Let b(d) = 0. Calculate d.
-49, -3, 3
Let z = 204495 - 204491. Factor 27 + 46/3*t**2 + 1/3*t**z + 48*t - 16/3*t**3.
(t - 9)**2*(t + 1)**2/3
Find j such that 7/5*j**2 - 2392/5*j - 684/5 = 0.
-2/7, 342
Factor 0 - 48*s**2 - 2/15*s - 230400*s**4 - 5760*s**3.
-2*s*(120*s + 1)**3/15
Suppose 0 = -0*i - i - 4*k + 25, 0 = 4*i - 4*k. Factor -21*l - i*l**4 - 33*l**2 + 16*l**3 - 44*l**3 + 39*l.
-l*(l + 3)**2*(5*l - 2)
Determine b, given that 57*b**3 - 87*b**2 + 275*b**4 + 381*b - 260*b**4 - 507*b - 3*b**5 = 0.
-3, -1, 0, 2, 7
Let v(f) be the second derivative of -39/4*f**4 + 146*f - 9*f**3 - 87/20*f**5 + 0*f**2 - 1/14*f**7 - 9/10*f**6 + 0. Determine z so that v(z) = 0.
-3, -2, -1, 0
Let n = -408 + 410. Let -15929*z + z**n + z**2 + 15925*z - 6*z**2 = 0. What is z?
-1, 0
Let u be 4/8 - (-2 - (-105)/(-6)). Let r = -42 - -64. Factor -r + 21 + 4*t**2 - 23 - u*t.
4*(t - 6)*(t + 1)
Let p be 9/(52/(416/24)). Factor 2/3*k + 2/9*k**p + 2/9 + 2/3*k**2.
2*(k + 1)**3/9
Let v be 3/(-7) + 2894/(-13440)*-2. Let b = v + 47/480. Factor 0 + 0*r**2 + 0*r - b*r**3 + 1/10*r**4.
r**3*(r - 1)/10
Let f(p) = p**3 + 11*p**2 - 855*p + 360. Let t be f(24). Find u such that 5/2*u**2 + 2*u**3 + 0 - 1/2*u**4 + t*u = 0.
-1, 0, 5
Let x(k) be the third derivative of 0*k - 5/336*k**8 + 0 + 1/24*k**6 - 81*k**2 + 0*k**3 - 1/42*k**7 + 0*k**4 + 1/12*k**5. Factor x(y).
-5*y**2*(y - 1)*(y + 1)**2
Let x(f) be the first derivative of -f**4/14 + 226*f**3/21 + 229*f**2/7 + 230*f/7 - 2826. Let x(b) = 0. What is b?
-1, 115
Solve 9*d**4 - 12*d**4 - 130*d**3 - 1821*d - 26 - 2*d**4 - 929*d - 1849 - 1000*d**2 = 0 for d.
-15, -5, -1
Let -18/7*z**2 + 0 + 0*z + 2/7*z**3 = 0. Calculate z.
0, 9
Suppose 0 = -3*k - 5*i + 8, -18 = 4*k - 2*i + 6. Let w be (-1)/((4/(-6))/(k/(-3))). Factor 4*g**w - 19*g**2 + 16*g**2 + g**4 - 2*g**3.
g**2*(g - 1)**2
Let z(h) be the third derivative of -h**5/140 - 221*h**4/56 + 223*h**3/7 - 2*h**2 - 144. Suppose z(l) = 0. Calculate l.
-223, 2
Suppose i + 90 - 352 = 0. Let p = -260 + i. Factor 1/4*l**4 + 1/4*l**3 - 1/4*l + 0 - 1/4*l**p.
l*(l - 1)*(l + 1)**2/4
Factor -225843 - 138894 - 3*a**2 - 3723*a - 489405 + 63*a - 262158.
-3*(a + 610)**2
Suppose 144/7 + 2600/7*g**2 - 18/7*g**3 + 27/7*g**5 - 3888/7*g**4 - 1153/7*g = 0. What is g?
-1, 1/3, 144
Let -45/2 + 1/2*h**2 - 2*h = 0. Calculate h.
-5, 9
Let d(z) = 2*z**2 - 4*z - 4. Let a be d(3). Suppose 49 = a*i + 29. Suppose 12 - 5*p**3 - i + 4*p**3 - 6 - 3*p**4 + p**5 + 7*p**2 = 0. What is p?
-1, 1, 2
Let m be (18/(-72))/(28/(-648096)). Let v = -5766 + m. Factor 48/7*h + 4/7*h**2 + v.
4*(h + 6)**2/7
Let l(g) be the second derivative of g**8/1680 - g**7/210 + 85*g**4/12 + 2*g - 10. Let f(i) be the third derivative of l(i). Solve f(s) = 0 for s.
0, 3
Let g(d) be the first derivative of d**5/4 + 77*d**4/16 + 40*d**3/3 + 13*d**2/2 - 2491. Factor g(u).
u*(u + 2)*(u + 13)*(5*u + 2)/4
Let m be (-2 - -3 - -2) + (112 - 113). Let i(k) be the third derivative of 1/540*k**6 + 0 + 0*k**3 + 0*k + 1/90*k**5 + 19*k**m + 0*k**4. Factor i(u).
2*u**2*(u + 3)/9
Let j(f) = -11*f**3 + 399*f**2 - 53072*f + 2352647. Let g(w) = 9*w**3 - 399*w**2 + 53071*w - 2352645. Let m(n) = 5*g(n) + 4*j(n). Determine z so that m(z) = 0.
133
Let c(o) be the first derivative of -36*o**2 - 25*o + 14*o**6 + 174 + 92*o**2 + 24*o**3 - 12*o - 59*o**4 + 5*o - 16*o**5. Solve c(m) = 0.
-1, 2/7, 2/3, 2
Suppose -q = q - a - 2215, 5*q - 5*a - 5550 = 0. Let y = q + -1103. Factor 14/17*x**3 + 0*x + 0 + 4/17*x**y.
2*x**2*(7*x + 2)/17
Let s(l) be the second derivative of -5*l**4/12 - 10*l**3 - 90*l**2 - 250*l + 3. Factor s(z).
-5*(z + 6)**2
Suppose 148*r + 25 = 153*r. Suppose r*l = -5, -3*v + 2*v - 4*l = 0. Factor 6/7 + 1/7*b**3 + b**2 - 1/7*b**v - 13/7*b.
-(b - 2)*(b - 1)**2*(b + 3)/7
Suppose -3 = -i, 0 = -5*u + 6*u + 5*i - 1549. Let x = 13808/9 - u. Factor 0*r**2 + 2/9*r - x*r**3 + 0.
-2*r*(r - 1)*(r + 1)/9
Let u(i) be the second derivative of -3*i**5/20 - 13*i**4/2 + 27*i**3/2 + 160*i + 3. Factor u(o).
-3*o*(o - 1)*(o + 27)
Let j be 342/(-4845)*40/6. Let r = j - -158/119. Factor 3/7*n**4 - 9/7*n**2 + 0*n**3 + 0 + r*n.
3*n*(n - 1)**2*(n + 2)/7
Let f(u) be the second derivative of 6 + 0*u**3 - 1/4*u**4 + 6*u**2 - 2*u. Let f(a) = 0. What is a?
-2, 2
Let g(h) be the second derivative of -h**5/150 - h**4/90 + 22*h**3/45 + 8*h**2/3 - 2599*h. Factor g(q).
-2*(q - 5)*(q + 2)*(q + 4)/15
Let o = 5474593/7 - 782083. Factor -o*t + 12/7 + 3/7*t**2.
3*(t - 2)**2/7
Let f be ((-16)/180)/(120/(-45)). Let x(j) be the first derivative of 1/5*j**4 + 0*j**2 + 5 - 4/25*j**5 + 0*j + 0*j**3 + f*j**6. Suppose x(d) = 0. What is d?
0, 2
Suppose 16 = 2*y, -2789 + 2795 = -5*d + 2*y. Let l(a) be the first derivative of a**4 - 36 + 2/5*a**5 - 2/3*a**3 - d*a**2 + 0*a. Suppose l(o) = 0. What is o?
-2, -1, 0, 1
Let y be (-76812)/(-4070) - 4/(-20)*(-60)/44. Factor -3/5*k**2 - y*k - 18.
-3*(k + 1)*(k + 30)/5
Let a = -12089/4 + 3026. Let k(n) be the first derivative of -5*n**2 + 0*n + 11 - 5/6*n**6 + a*n**4 + n**5 - 5/3*n**3. Find j, given that k(j) = 0.
-1, 0, 1, 2
Let o = 27436 + -27434. Suppose -6/5*v**3 + 8 + 24/5*v - o*v**2 = 0. Calculate v.
-2, -5/3, 2
Let h be (0 - 2/(-84))/(345/2415). Determine f, given that 9/2 - f - h*f**2 = 0.
-9, 3
Let a(n) be the second derivative of -15/4*n**2 - 17/12*n**3 + 34*n + 1/40*n**5 + 0 - 1/24*n**4. Suppose a(t) = 0. What is t?
-3, -1, 5
Solve 77*p**3 - 207936 - 5668*p**2 - 4*p**4 + 60*p**3 + 56544*p + 10*p**3 + 101*p**3 = 0 for p.
12, 19
Let d = 1211 + -823. Let v = d + -387. Suppose -v + 1/4*p - 1/4*p**3 + p**2 = 0. Calculate p.
-1, 1, 4
Let a(l) = -15*l**3 + l**2 - 40*l + 104. Let j(n) = -49*n**3 + 5*n**2 - 120*n + 313. Let u(o) = 13*a(o) - 4*j(o). Factor u(x).
(x - 10)*(x - 2)*(x + 5)
Let n be -10 + (((-49)/6)/((-3290)/1880))/(7/18). Let 5/3*d**n + 5*d - 20/3*d**3 + 0 = 0. Calculate d.
-3/4, 0, 1
Let v(j) be the second derivative of j**4/42 - 932*j**3/7 + 1954404*j**2/7 - 17*j - 166. Determine b so that v(b) = 0.
1398
Let i(l) be the third derivative of l**6/120 + 149*l**5/60 - 301*l**4/24 + 151*l**3/6 + 103*l**2 - 2*l + 4. Find j such that i(j) = 0.
-151, 1
Let l = -616 - -623. Solve 38*w + 0*w**2 + 40 + w**2 + 4*w**2 + l*w = 0 for w.
-8, -1
Determine u so that -2975/6*u + 1/6*u**2 + 1487/3 = 0.
1, 2974
Suppose 2*c - 4*c = 4*c - 192. Let t(h) be the second derivative of -c*h - 1/2*h**3 + 0*h**2 + 0 - 1/24*h**4. Factor t(i).
-i*(i + 6)/2
Suppose -1117*a + 2212*a + 363 = 1216*a. Find h such that -16/7 + 6/7*h**2 + 12/7*h - 2/7*h**a = 0.
-2, 1, 4
Suppose 0 = -3*b + 691 - 559. Find z such that -52 - b*z**2 - 100*z - 380*z**3 + 766*z**3 - 382*z**3 = 0.
-1, 13
Let a(h) be the third derivative of 8/105*h**7 + 42 - 1/3*h**5 + 2/3*h**3 + 1/10*h**6 + h**2 + 0*h - 1/2*h**4. Wh