m = 2*x. Suppose j**2 + 3 - 10*j + 2 + 3 + j**x = 0. What is j?
1, 4
Find i such that -3/5*i**4 - 18/5*i**3 - 36/5*i**2 - 24/5*i + 0 = 0.
-2, 0
Let m(n) be the second derivative of -n**6/315 + n**5/84 - n**4/84 + 4*n**3 - 14*n. Let u(q) be the second derivative of m(q). Factor u(l).
-2*(l - 1)*(4*l - 1)/7
Let d be 2/18*(-2370)/(-100). Let n = 33/10 - d. Suppose -2/3*z**2 + n + 0*z = 0. What is z?
-1, 1
Let z(v) = -4*v**2 + 4*v + 54. Let q(a) = -8*a**2 + 8*a + 107. Let n(h) = 6*q(h) - 11*z(h). Solve n(t) = 0 for t.
-3, 4
Let w(s) = -1 + 31*s**3 + 22*s**3 - 54*s**3 - s + s**2. Let g be w(-1). Factor 3/2 + 3/4*k**g + 9/4*k.
3*(k + 1)*(k + 2)/4
Let s be (-12 - -10)*1/2. Let w(h) = 3*h**2 + 2*h + 1. Let i be w(s). Factor o**2 - 2 + i*o - 2 + 2 - o.
(o - 1)*(o + 2)
Let n(d) = -d**4 + d**3 + 9*d**2 - d. Let t(a) = 11*a**4 + a**4 - 2*a**4 - 53*a**2 + 10*a - 27*a**2 - 10*a**3. Let f(k) = 35*n(k) + 4*t(k). Factor f(b).
5*b*(b - 1)**2*(b + 1)
Let u = -38 + 42. Let y(a) = a**4 - 10*a**3 + a**2 - 4*a - 4. Let h(c) = 9*c**3 + 3*c + 3. Let k(v) = u*h(v) + 3*y(v). Determine f so that k(f) = 0.
-1, 0
Let v(z) be the third derivative of -z**8/168 + 2*z**7/25 - 17*z**6/100 + 7*z**5/75 + 342*z**2. Solve v(l) = 0 for l.
0, 2/5, 1, 7
Solve -118/5*d**3 - 54/5*d**5 + 0 - 38/5*d**2 - 138/5*d**4 - 4/5*d = 0 for d.
-1, -1/3, -2/9, 0
Let l(t) be the third derivative of -t**6/1020 + 7*t**5/255 - 8*t**4/51 - 128*t**3/51 - 107*t**2. Factor l(r).
-2*(r - 8)**2*(r + 2)/17
Let u = -17889/7 - -2556. Factor 0 - u*r**3 + 0*r**2 + 3/7*r.
-3*r*(r - 1)*(r + 1)/7
Let p(z) be the second derivative of -7*z**5/4 + 5*z**4 + 10*z**3/3 - 4*z + 19. Factor p(u).
-5*u*(u - 2)*(7*u + 2)
Factor 1936/5 + 4/5*c**2 - 176/5*c.
4*(c - 22)**2/5
Factor -11*k**2 - 141 + 23*k**2 + 3 + 92*k - 641*k.
3*(k - 46)*(4*k + 1)
Let p(m) = -5*m**2 + 224*m + 253. Let j(a) = -55*a**2 + 2465*a + 2780. Let d(b) = 6*j(b) - 65*p(b). Factor d(w).
-5*(w - 47)*(w + 1)
Suppose -u + 2 = -0*u, 0 = 2*v + u - 6. Suppose 4*g - 6 = 6. Suppose 5*c**2 + 3*c**4 - 5*c**v - g*c**2 = 0. What is c?
-1, 0, 1
Suppose 9*b + 10*b = 0. Factor 0 + 0*x**3 - 2/3*x**4 + 0*x + b*x**2.
-2*x**4/3
Determine i so that 225*i + 2*i**2 - 397*i + 23*i**2 + 202*i - 5*i**3 = 0.
-1, 0, 6
Suppose 3*d = 4*r + 429, 3*r - 4*d + 190 = -130. Let k be ((-22)/(-4))/((-3)/r). Find g, given that g**2 + 0 + 0 - 197*g + k*g = 0.
-1, 0
Let q(s) = -3*s - 6. Let g be q(-6). Let l be (g/18)/(4/18). Find b, given that 11*b**5 - 17*b**5 - 8*b**4 + 2*b**4 + l*b**4 = 0.
-1/2, 0
Let i(o) = -5*o**2 + 29*o + 40. Let v(d) = 15*d**2 - 88*d - 120. Let c(a) = -17*i(a) - 6*v(a). Solve c(b) = 0.
-1, 8
Let 56/15*k**2 + 0*k + 2/15*k**3 + 0 = 0. Calculate k.
-28, 0
Let o(q) be the third derivative of -q**7/1155 - 2*q**6/165 - 19*q**5/330 - q**4/11 - 2*q**2 + 38*q. Find h such that o(h) = 0.
-4, -3, -1, 0
Solve -4/7*v**4 + 2/7*v**5 - 36/7*v**2 - 6*v**3 + 0 + 0*v = 0 for v.
-3, -1, 0, 6
Let i(b) = -10*b**2 - 10*b + 10. Let l(x) = 9*x**2 + 9*x - 10. Suppose 0 = 4*z - 5*z - 4. Let o(w) = z*i(w) - 5*l(w). Let o(j) = 0. Calculate j.
-2, 1
Let j(x) be the third derivative of x**5/30 + 7*x**4/6 + 49*x**3/3 - 11*x**2 + 2. Factor j(z).
2*(z + 7)**2
Let m(g) = g**3 + 13*g**2 - 2*g - 20. Let k be m(-13). Let c be (-7)/k*8/(-7)*3. What is l in 46/5*l**3 + 16/5 - 14/5*l**c - 12/5*l**2 - 56/5*l = 0?
-1, 2/7, 2
Let g(j) be the second derivative of j**4/54 + 5*j**3/27 + 2*j**2/3 - 2*j + 126. Factor g(v).
2*(v + 2)*(v + 3)/9
Let y = 10893 + -10891. Suppose -2/19*n**y + 4/19*n + 6/19 = 0. Calculate n.
-1, 3
Let v(b) = 11*b**2 - 59*b + 134. Let d(u) = -4*u**2 + 20*u - 45. Let c(q) = -8*d(q) - 3*v(q). Factor c(m).
-(m - 14)*(m - 3)
Let u(p) be the third derivative of -p**6/60 - 7*p**5/10 + p**4/12 + 7*p**3 - 10*p**2 - 19*p. Let u(z) = 0. What is z?
-21, -1, 1
Suppose 1/3*o + 0 - 5/3*o**3 + 4/3*o**2 = 0. What is o?
-1/5, 0, 1
Let c(l) be the third derivative of -l**8/3360 + l**7/1050 + 7*l**6/1200 + l**5/150 - 38*l**2. Factor c(h).
-h**2*(h - 4)*(h + 1)**2/10
Let j = 461 + -454. Let f(i) be the second derivative of 0*i**4 + 1/50*i**5 + 0 + j*i - 1/15*i**3 + 0*i**2. Suppose f(w) = 0. What is w?
-1, 0, 1
Suppose -6 = -m - 0. Let q be m + -6 - (-1 + 1 + -3). Suppose -1/2*y**4 - 6*y**2 + 0 - q*y**3 - 4*y = 0. What is y?
-2, 0
Factor -12*m**2 - 105/4*m + 25/2 - 5/4*m**3.
-(m + 5)**2*(5*m - 2)/4
Let b be -4 - ((-24)/(-252) - (226/(-714) + 5)). Suppose 38/17*z - b + 8/17*z**2 = 0. What is z?
-5, 1/4
Let 48*m - 7*m**2 - 2*m**3 - 8 - 79*m**2 - 4*m**3 + 66*m**3 - 14*m**4 = 0. What is m?
2/7, 1, 2
Let i = 143 + -143. Factor i - 1/4*h - 1/4*h**2.
-h*(h + 1)/4
Let q(k) be the third derivative of k**7/420 + k**6/240 - k**5/24 + k**4/16 - 56*k**2. Let q(n) = 0. Calculate n.
-3, 0, 1
Let x(y) be the third derivative of -1/504*y**8 - 35*y**2 + 1/105*y**7 + 0*y**3 + 0*y + 1/18*y**4 - 1/30*y**5 - 1/180*y**6 + 0. Let x(b) = 0. What is b?
-1, 0, 1, 2
Let m(k) be the first derivative of -4*k**4 + 6*k**3 - k**2 - 132. Factor m(j).
-2*j*(j - 1)*(8*j - 1)
Let h be (18/(-4) + 3)/((-12)/336*21). Let 0*p**h + 0 + 13/4*p**3 + 3*p**4 - 1/4*p = 0. Calculate p.
-1, -1/3, 0, 1/4
Suppose -6*a = 91 - 97. Let l be a + 100/28 + -3 - 1. What is h in -20/7*h**4 + 40/7*h**3 - l + 4/7*h**5 - 40/7*h**2 + 20/7*h = 0?
1
Let m(h) be the first derivative of -h**2/2 - 12*h - 8. Let x be m(-12). Factor -1/2*d + x - 1/4*d**2.
-d*(d + 2)/4
Let w be (-5 + (3 - 3))/(2 + -3). Factor -6*z**3 + z - 16*z + 12*z**2 - 2*z**3 + 6 + w*z**3.
-3*(z - 2)*(z - 1)**2
Let u(f) = -f**3 - 2*f**2 + 2*f - 1. Let g be u(-3). Suppose -2*d + 14 = 3*t, d + 0 + g = 3*t. Factor -9*v**2 + 6 - 6*v**3 + 3*v + 3*v**3 - t*v**4 + 5*v**4.
3*(v - 2)*(v - 1)*(v + 1)**2
Suppose -144 = 3*j - 162. Factor 4*l**5 - j*l**3 + 16*l**2 + 3*l**4 + l**4 - 24*l**2 - 2*l**5 + 8*l.
2*l*(l - 1)**2*(l + 2)**2
Let g(f) be the second derivative of -f**8/1260 + 7*f**6/270 + f**5/15 - 11*f**3/3 - 11*f. Let q(y) be the second derivative of g(y). Factor q(z).
-4*z*(z - 3)*(z + 1)*(z + 2)/3
Find n such that 3/5*n**4 - 39/5*n**2 - 21/5*n**3 + 3/5*n**5 + 0 - 18/5*n = 0.
-2, -1, 0, 3
Suppose -a + 4*j = -23, 0*a + 3*j + 36 = 2*a. Factor -6*s - 6*s**2 - 7*s**2 + a*s**3 + 4*s**2.
3*s*(s - 1)*(5*s + 2)
Let s = 282 + -280. Let d(u) be the first derivative of -u**4 - 11 - 1/3*u**s - 1/9*u**6 + 8/15*u**5 + 0*u + 8/9*u**3. Suppose d(l) = 0. What is l?
0, 1
Let l be 3 + 3/(-1) + 0. Let r = 21 - l. Factor -r*a**2 + 5*a**2 - 17*a**3 - 4*a - 39*a**4 + 34*a**4.
-a*(a + 1)*(a + 2)*(5*a + 2)
Factor -8*v**2 + 4*v**2 - 5*v**3 + 4*v**3 + 5*v**2 + 20*v.
-v*(v - 5)*(v + 4)
Let c(j) be the first derivative of -3*j**5/5 + 159*j**4/2 - 2913*j**3 + 8268*j**2 - 8112*j + 414. Suppose c(d) = 0. Calculate d.
1, 52
Factor 999 + 11*y - 999 - 3*y**2 + y.
-3*y*(y - 4)
Let z(v) be the third derivative of 4/105*v**7 + 1/10*v**6 + 0*v**3 + 0 + 0*v**4 + 0*v - 2/15*v**5 + 3*v**2. Suppose z(b) = 0. Calculate b.
-2, 0, 1/2
Let -57/8*j**3 + 19/8*j**2 - 2*j**5 + 7*j**4 + 0 - 1/4*j = 0. What is j?
0, 1/4, 1, 2
Let t(z) be the third derivative of z**2 + 7/144*z**4 - 1/360*z**5 + 1 + 0*z**3 + 0*z. Let t(m) = 0. What is m?
0, 7
Let f(c) be the third derivative of -c**5/12 + 55*c**4/24 - 15*c**3 + 118*c**2. Find s, given that f(s) = 0.
2, 9
Suppose 198*j - 192*j = 12. Let q(g) be the third derivative of 0*g - 1/27*g**3 - 1/180*g**6 + 0 + j*g**2 - 7/270*g**5 - 5/108*g**4. Let q(x) = 0. Calculate x.
-1, -1/3
Let y = 727/5 + -2179/15. Factor -72/5*s - 8/5*s**3 - 36/5*s**2 - y*s**4 - 54/5.
-2*(s + 3)**4/15
Let u(h) be the first derivative of h**4/7 + 4*h**3/7 - 50*h**2/7 + 12*h - 231. Factor u(w).
4*(w - 3)*(w - 1)*(w + 7)/7
Let t = 5955/11 - 541. Let x be 2/8 - 9/132. What is w in -x*w**5 - t*w**4 + 8/11*w**2 + 0 + 6/11*w**3 - 8/11*w = 0?
-2, 0, 1
Let j(x) = 6*x**3 - 2*x**2 + 2*x - 6. Let v(q) = -3*q**2 + 4*q - q + 3*q**3 - 7 + 4*q**3. Let b(k) = 5*j(k) - 4*v(k). Find l, given that b(l) = 0.
-1, 1
Let j(a) be the first derivative of 0*a - 5 + 1/10*a**4 + 4/15*a**3 + 1/5*a**2. Solve j(v) = 0 for v.
-1, 0
Let b = -39331 + 39333. Find x, given that 2*x**b + 4/3*x - 2/3 = 0.
-1, 1/3
Factor -5*s**3 + s**4 + 63*s - 4*s**2 - 70*s + 2 + 13*s**2.
(s - 2)*(s - 1)**3
Let j(u) = 2*u**3 - 4*u + 4. Let q(v) = v**3 + v**2 - 3*v + 3. Suppose 0*y - 2*y = -8. Let g(d) = y*q(d) -