- 10*d**3 - j*d**2 + 3*d + 0*d = 0?
0, 1
Let c be ((-12)/(-16))/(2/8 - 12/(-12)). Factor -3/5*z + c - 3/5*z**5 + 6/5*z**3 + 3/5*z**4 - 6/5*z**2.
-3*(z - 1)**3*(z + 1)**2/5
Suppose 3*r + 4*z = 20, -24 - 1 = 2*r - 5*z. Factor r - 1/4*h**3 - 25/4*h + 5/2*h**2.
-h*(h - 5)**2/4
Let a(p) be the third derivative of -p**6/24 - 5*p**5 - 195*p**4/8 - 145*p**3/3 - 2*p**2 + 130. Factor a(n).
-5*(n + 1)**2*(n + 58)
Let k = -43 - -25. Let v be (12/63)/(k/(-21)). Factor v*o**2 + 2/9*o + 0.
2*o*(o + 1)/9
Suppose -p = -2*f, -2*f - 18 = -3*f - 4*p. Suppose -4*s = 5*i - 14, 0 = f*i + i + 2*s - 10. Factor 6 - g**2 - i - 3*g.
-g*(g + 3)
Suppose 90*p + 5*b = 93*p + 14, 3*b - 6 = 3*p. Let n(z) be the first derivative of 1/3*z**3 - z - 4 + 0*z**p. What is s in n(s) = 0?
-1, 1
Let w = -2965 + 2969. Let y(s) be the first derivative of 0*s - 2/3*s**3 - 2/7*s**2 - 1/21*s**6 - 2/7*s**5 - 9/14*s**w + 3. Suppose y(g) = 0. Calculate g.
-2, -1, 0
What is p in 0 - 3/2*p**3 - 15/2*p**2 + 21*p = 0?
-7, 0, 2
Let p(i) = -i**2 - 12*i - 30. Let n(j) = -j**2 - 11*j - 32. Let w be n(-8). Let v be p(w). Find b, given that 2/5*b**v + 0 + 0*b - 2/5*b**3 = 0.
0, 1
Let f(y) be the first derivative of y**6/2 - 51*y**5/5 + 189*y**4/4 + 81*y**3 - 140. Factor f(m).
3*m**2*(m - 9)**2*(m + 1)
Suppose 2*a = -3*o + 14 + 2, -o = 5*a - 27. Find g such that 8*g + 0 - 7 + 5*g**4 + 3 + g**2 - 8*g**3 - o*g**4 = 0.
-1, 2/3, 1, 2
Let i(x) be the first derivative of -5*x**3/3 + 175*x**2 - 6125*x + 157. Solve i(u) = 0.
35
Find l such that 32/3 + 4/9*l**2 - 100/9*l = 0.
1, 24
Let z = 23975853/455 + -52694. Let g = z + -1/35. Factor 0 + g*v**2 + 2/13*v.
2*v*(v + 1)/13
Let c(l) = -502*l + 3016. Let o be c(6). Find y such that -20/7*y**3 + 10/7*y**2 + 24/7*y - 18/7*y**o + 8/7 - 4/7*y**5 = 0.
-2, -1, -1/2, 1
Let m be 2/4 - 6/(-4). Suppose 25*u - 288 + 213 = 0. Suppose 0*w + 2/3*w**u + 2/9*w**m + 0 = 0. Calculate w.
-1/3, 0
Let i = 135 - 54. Let d = i + -80. Suppose 2*r - d - 3/4*r**2 = 0. Calculate r.
2/3, 2
Let o(y) be the first derivative of -y**6/840 - 3*y**5/280 - 16*y**3/3 - 1. Let z(q) be the third derivative of o(q). Solve z(l) = 0 for l.
-3, 0
Let t(w) be the first derivative of -w**7/3780 - w**6/1620 + w**5/540 + w**4/108 - 4*w**3/3 - 1. Let k(d) be the third derivative of t(d). Factor k(r).
-2*(r - 1)*(r + 1)**2/9
Let o(l) be the first derivative of -2*l**5/35 + 22*l**3/21 - 18*l**2/7 + 16*l/7 + 175. What is c in o(c) = 0?
-4, 1, 2
Let t(r) be the second derivative of -r**7/5880 + r**6/1260 - 5*r**3/3 - 14*r. Let p(z) be the second derivative of t(z). Let p(s) = 0. What is s?
0, 2
Let p = -2 + 6. Let t(c) = -8*c**2 - 55*c + 9. Let m be t(-7). Let -14/3*b**3 + 16/3*b**m - 1/3*b**5 - 3*b + 2*b**p + 2/3 = 0. What is b?
1, 2
Let n(f) be the third derivative of -f**10/453600 + f**9/45360 - f**8/15120 + f**5/10 - f**2. Let x(m) be the third derivative of n(m). Factor x(u).
-u**2*(u - 2)**2/3
Let c be 2/((-12)/2)*(-81)/30. Let u(p) be the second derivative of 0 + 1/60*p**4 + c*p**2 - 1/5*p**3 + 6*p. Factor u(z).
(z - 3)**2/5
Let k(n) = 2*n**2 - 7*n - 184. Let h be k(-8). What is d in h + 48/5*d**3 + 16/5*d**4 + 2/5*d**5 + 32/5*d + 64/5*d**2 = 0?
-2, 0
Let h(l) be the first derivative of l**5/40 - 11*l**4/32 + 11*l**3/8 - 5*l**2/16 - 25*l/4 + 294. Suppose h(x) = 0. Calculate x.
-1, 2, 5
Let b(x) be the first derivative of -4 + 0*x**4 + 1/10*x**5 + 0*x**2 - 1/6*x**3 + 0*x. Factor b(d).
d**2*(d - 1)*(d + 1)/2
Suppose 3*c = -24*k + 21*k - 3, 3*c = -k - 1. Let s(r) be the second derivative of c*r**2 - 1/9*r**3 + 4*r - 1/54*r**4 + 0. Factor s(n).
-2*n*(n + 3)/9
Let a = -16 - -18. Suppose -7*l = -3*l + a*k - 16, 2*l = -3*k + 12. Find s such that 2/7*s**2 - 4/7*s - 2/7*s**4 + 10/7*s**l - 6/7*s**5 + 0 = 0.
-1, 0, 2/3, 1
Let v(x) be the second derivative of -3*x**7/7 - 89*x**6/5 + 184*x**5/5 - 62*x**4/3 - 19*x. What is y in v(y) = 0?
-31, 0, 2/3
Let m(c) be the first derivative of 3*c**6/2 - 6*c**5 + 37*c**4/4 - 20*c**3/3 + 2*c**2 + 22. Factor m(y).
y*(y - 1)**2*(3*y - 2)**2
Suppose 6*f = -3*f + 27. Factor 29*c**2 + 12*c + 46*c**f - 31*c**3 - 5*c**2 + 3*c**4.
3*c*(c + 1)*(c + 2)**2
Let f(o) = o**3 + 3*o**2 - 2*o - 2. Let h be f(-2). Suppose -h*g + 16*g = 0. Let 1/2*c**2 + g - 1/4*c - 1/4*c**3 = 0. Calculate c.
0, 1
Let t = -15/8 + 181/88. Let u = 291 + -3197/11. Factor 0 + u*v**2 - 2/11*v - t*v**3.
-2*v*(v - 1)**2/11
Suppose 78*q - 139 - 17 = 0. Let m(k) be the first derivative of -q*k + 2*k**4 - 6 + 14/3*k**3 + 2*k**2. Factor m(y).
2*(y + 1)**2*(4*y - 1)
Let p(g) be the second derivative of 3*g + 0*g**2 + 0*g**3 + 0 + 3/80*g**5 - 3/40*g**6 + 1/8*g**4. Factor p(c).
-3*c**2*(c - 1)*(3*c + 2)/4
Let y(g) = -g**2 + 20*g - 49. Let r be y(3). Let h(u) be the first derivative of 0*u - r*u**2 - u**4 + 8/3*u**3 - 2. Find z such that h(z) = 0.
0, 1
Factor 120*k**2 + 5*k**3 + 227 + 1088 + 945*k + 1115.
5*(k + 6)*(k + 9)**2
Let s(k) = -k**3 + 10*k**2 + 9*k - 25. Let n be s(10). Find h, given that 13*h**2 - 20 + 2*h**2 - 106*h - n*h**3 + 186*h + 20*h**4 = 0.
-1, 1/4, 2
Factor -3/4*s**2 + 24*s - 192.
-3*(s - 16)**2/4
Let u(h) be the third derivative of -h**8/2520 + h**6/540 - 16*h**3/3 - 7*h**2. Let v(i) be the first derivative of u(i). Factor v(p).
-2*p**2*(p - 1)*(p + 1)/3
Let o(z) be the first derivative of 1/20*z**2 - 1/15*z**3 + 1/25*z**5 - 1/60*z**6 - 27 + 0*z + 0*z**4. Factor o(c).
-c*(c - 1)**3*(c + 1)/10
Suppose -3*l - 5*f + 28 = l, 0 = 4*l - 4*f - 64. Suppose -l*s - 12 = -36. What is j in 1/6*j**s + 1/2*j - 2/3 = 0?
-4, 1
Suppose -4*b + 3*b - 4*b = 0. Suppose s = -b + 5, 0 = g - 5*s + 23. Suppose 0*h**3 - 1/2*h + 0 - h**g + 1/2*h**5 + h**4 = 0. Calculate h.
-1, 0, 1
Let c(p) = p**5 - p**4 - p**2 - p. Let h(m) = -2*m**5 - 36*m**4 + 506*m**3 - 2155*m**2 - 504*m + 2197. Let l(d) = 3*c(d) + h(d). Factor l(s).
(s - 13)**3*(s - 1)*(s + 1)
Let d(m) be the first derivative of m**7/210 - 2*m**6/45 + m**5/6 - m**4/3 + m**3 - 19. Let n(q) be the third derivative of d(q). Find w, given that n(w) = 0.
1, 2
Let a = 1/2792 - -1395/2792. Let w(l) be the second derivative of 15*l + a*l**3 + 0 + 0*l**2 - 1/20*l**5 + 1/6*l**4. Factor w(u).
-u*(u - 3)*(u + 1)
Let a(x) be the third derivative of x**7/70 + 11*x**6/40 + 6*x**5/5 - x**4/2 - 16*x**3 - 113*x**2. Find r, given that a(r) = 0.
-8, -2, 1
Let l = -104/83 - -478/249. What is h in l*h - 2/9*h**2 - 4/9 = 0?
1, 2
Suppose -2*t - 85 = -19*t. Suppose 3 + 7 = -5*g + t*k, k = 3*g - 2. Solve 0*v - 2/7*v**g + 0 = 0 for v.
0
Let o(c) be the first derivative of -c**4/4 + 7*c**3 - 147*c**2/2 + 15*c + 3. Let r(s) be the first derivative of o(s). Let r(k) = 0. What is k?
7
Let p(r) be the first derivative of -4*r**3/21 + 49. Factor p(z).
-4*z**2/7
Solve 65*k**3 + 256*k - 1087*k**4 - 21*k**3 + 128 + 168*k**2 + 541*k**4 + 550*k**4 = 0 for k.
-4, -2, -1
Let y(h) be the second derivative of -h**7/168 + h**6/30 - h**5/20 - h**4/24 + 5*h**3/24 - h**2/4 + 68*h. Factor y(p).
-(p - 2)*(p - 1)**3*(p + 1)/4
Let f(c) be the third derivative of -c**8/30240 - c**7/7560 - 3*c**5/10 - 13*c**2. Let l(y) be the third derivative of f(y). Factor l(r).
-2*r*(r + 1)/3
Suppose 162*u = 191*u. Factor 1/9*q**5 + 5/9*q**3 + 4/9*q**4 + 2/9*q**2 + 0 + u*q.
q**2*(q + 1)**2*(q + 2)/9
Let a(x) be the third derivative of x**8/1344 - x**7/210 - 19*x**6/480 - 7*x**5/120 - 605*x**2. Factor a(q).
q**2*(q - 7)*(q + 1)*(q + 2)/4
Let j(r) be the third derivative of r**8/16800 + r**7/900 + r**6/180 - 5*r**4/24 - 7*r**2. Let i(q) be the second derivative of j(q). Factor i(o).
2*o*(o + 2)*(o + 5)/5
Let i(s) be the second derivative of s**9/756 - s**7/105 + s**5/30 - 43*s**3/6 + 2*s. Let z(x) be the second derivative of i(x). Solve z(l) = 0 for l.
-1, 0, 1
Let t be (-14)/5 - (-69316)/6045. Factor 2/3*z**3 - t*z + 10/3*z**2 + 14/3.
2*(z - 1)**2*(z + 7)/3
Suppose -3*q + n - 4*n - 27 = 0, -12 = 2*q + 5*n. Let v(l) = 2*l**2 - 10. Let m(z) = 10*z**2 - 51. Let g(s) = q*v(s) + 2*m(s). Factor g(c).
-2*(c - 2)*(c + 2)
Suppose 4/3*r + 0*r**2 + 16/9 - 1/9*r**3 = 0. Calculate r.
-2, 4
Suppose 5*l - 2*m - 307 = 0, -m - 2*m - 114 = -2*l. Let x be ((24/l)/(-4))/(6/(-28)). Let x*k - 2/9*k**2 + 0 = 0. Calculate k.
0, 2
Let s(v) = 4*v - 328. Let f be s(83). Solve 8*t**f + 0 + 9/2*t**2 + 1/2*t + 12*t**3 = 0.
-1, -1/4, 0
Suppose 12 - 15 - 18*b + 30 + 3*b**2 = 