 1 = 0. Calculate p.
1/2, 1
Let u(f) be the first derivative of -2/15*f**3 + 8/5*f - 79 + 3/2*f**2. Factor u(o).
-(o - 8)*(2*o + 1)/5
Suppose -184*g + 251 = -31*g + 151*g - 661. Factor 29/3*h**g + 4/3*h + 32/3*h**2 + 0 + 7/3*h**4.
h*(h + 2)**2*(7*h + 1)/3
Let p(h) be the third derivative of -11/12*h**4 - 1/60*h**6 - 1/5*h**5 + 0*h + 0 + 21*h**2 - 2*h**3. Suppose p(n) = 0. Calculate n.
-3, -2, -1
Determine j, given that -8*j**4 - 54 + 107/2*j**3 - 138*j**2 + 585/4*j + 1/4*j**5 = 0.
1, 3, 24
Let n be (((-129)/(-215))/(133/(-57)))/((-6)/100). Let 6/7*t**3 + 2/7*t**4 - 12/7 + 34/7*t - n*t**2 = 0. Calculate t.
-6, 1
Let b(q) be the second derivative of -3/70*q**5 + 8*q**3 + 0 - 180/7*q**2 - 11/14*q**4 + 128*q. Factor b(r).
-6*(r - 2)**2*(r + 15)/7
Let f(k) be the first derivative of -k**4/24 + 17*k**3/9 + 37*k**2/12 - 35*k/3 - 1277. Suppose f(y) = 0. What is y?
-2, 1, 35
Let c(p) be the first derivative of 35*p**2/2 + 2*p - 8. Let w be c(1). Solve j**3 + 43*j**2 - w*j**2 - 6*j + 3*j - 4*j**3 = 0.
0, 1
Let b(x) = -x**2 - x + 30. Suppose -4*r + 6*r = -4*g + 6, 4*r = g + 12. Let k be b(g). Factor 5*w + 28*w**2 - k*w**2 + 5*w - 12.
-2*(w - 3)*(w - 2)
Let q(x) be the second derivative of -x**5/30 - 1109*x**4/18 + 2221*x**3/9 - 1111*x**2/3 + 147*x + 26. Factor q(j).
-2*(j - 1)**2*(j + 1111)/3
Suppose -495*r = 1281*r - 419*r. Suppose r - 1/4*u**3 + 1/4*u**4 - 3/2*u**2 + 0*u = 0. Calculate u.
-2, 0, 3
Let u = -72687/14 + 5192. Let y(x) be the second derivative of 0 - 12*x + 1/84*x**4 + 1/21*x**3 + u*x**2. Solve y(f) = 0.
-1
Suppose r = 2*i + 345, -11*i = 5*r - 8*i - 1738. What is u in 10*u**2 + 4*u**2 - 189*u + 352 - 2*u**2 - r*u = 0?
2/3, 44
Let s be ((-84)/(-70))/((-2)/5). Let p(u) = u**4 - u**3 + u**2 + 5*u. Let f(w) = w**4 + w**3 + w. Let d(r) = s*p(r) + 6*f(r). Factor d(c).
3*c*(c - 1)*(c + 1)*(c + 3)
Let i(o) be the third derivative of -o**6/40 - 13*o**5/10 - 139*o**4/8 + 195*o**3 - 5716*o**2. Find t such that i(t) = 0.
-15, -13, 2
Let f(x) be the first derivative of -x**5/15 + 4*x**4/3 + x**3/9 - 8*x**2/3 + 213. Factor f(r).
-r*(r - 16)*(r - 1)*(r + 1)/3
Suppose 2*v + 2*u - 20 = 0, 9*u - 72 = -0*u. What is s in 1/4*s**v + 3/4*s + 0 = 0?
-3, 0
Let r be 123/41 + (-1)/(-1). Let -68 + 2*l**r + 22*l - 28*l**2 + 0*l**4 - 61 - 2*l**5 + 123 + 12*l**3 = 0. What is l?
-3, 1
Let l(w) be the second derivative of 2/7*w**3 - 2 - 3*w + 0*w**2 - 1/70*w**5 - 5/42*w**4. Find z, given that l(z) = 0.
-6, 0, 1
Let p(q) be the third derivative of -q**7/42 + 17*q**6/12 + 37*q**5/4 + 5*q**4/6 - 370*q**3/3 + 1212*q**2. Let p(u) = 0. Calculate u.
-2, 1, 37
Let c(n) be the second derivative of -n**4/6 - 94*n**3/3 - 2209*n**2 - 951*n. Solve c(p) = 0 for p.
-47
Factor 36177111 + 227529*b + 1/3*b**3 + 477*b**2.
(b + 477)**3/3
Factor -54*h**2 + 2*h**3 + 2840 + 336*h - 4986 + 2538.
2*(h - 14)**2*(h + 1)
Let p(t) be the third derivative of -t**4/12 - t**3/6 + 290*t**2. Let f(s) = -16*s**2 + 92*s - 175. Let a(w) = -5*f(w) + 30*p(w). Solve a(m) = 0 for m.
13/4
Suppose -335*z = -334*z - 6. Factor 224*k**3 + 2*k + 216*k**3 - 1 + z*k**2 - 5 - 442*k**3.
-2*(k - 3)*(k - 1)*(k + 1)
Let x be (-3 - (-4)/((-200)/(-126)))*725/(-145). Determine v so that -14/5*v - x - 2/5*v**2 = 0.
-6, -1
Let t be (-3)/(-7 - 322/(-49)). Let c be (-568)/1278*(-9)/t. Determine b so that 0 - c*b**3 + 4/7*b**4 + 0*b + 0*b**2 = 0.
0, 1
Let f = -115 - -117. Factor -122 - 19*b - 47*b**f - 38*b + 122 + 44*b**2.
-3*b*(b + 19)
Suppose 2*v - 87 = -2*m + m, -2*m + 144 = -2*v. Factor 30*x**3 - 15*x + 24*x**3 - 9*x**2 + 3*x**4 - m*x**3 - 6 + 26*x**3.
3*(x - 2)*(x + 1)**3
Let l(f) = -43*f**3 + 3*f + 4. Let d be l(-1). Solve -20*t**3 - 96*t**4 - 58*t**4 + 100*t**2 + 10 + 65*t + d*t**4 + 0 - 40*t**5 - 5*t**3 = 0 for t.
-2, -1, -1/2, -1/4, 1
Factor 27/2*r - 21*r**2 + 3/2*r**3 + 486.
3*(r - 9)**2*(r + 4)/2
Suppose -1 = -4*p - 17. Let n(o) = o**4 + o**2. Let v(j) = 8*j**4 + j**3 + 4*j**2 - j + 2. Let m(z) = p*v(z) + 28*n(z). Factor m(d).
-4*(d - 1)**2*(d + 1)*(d + 2)
Let o(w) = 8*w**3 - 32*w**2 - 384*w + 156. Let b(d) = 27*d**3 - 95*d**2 - 1154*d + 469. Let v(t) = -4*b(t) + 11*o(t). Suppose v(p) = 0. What is p?
-4, 2/5, 5
Determine r, given that 349*r**2 - 24*r + 67*r - 191*r**2 + 19*r - 12 - 18*r**3 - 190*r**2 = 0.
-3, 2/9, 1
Let u(t) be the first derivative of 50*t**3/3 - 23*t**2 - 4*t - 228. What is s in u(s) = 0?
-2/25, 1
Let l(y) be the first derivative of -5*y**4/12 + 85*y**3/6 + 108*y - 124. Let q(c) be the first derivative of l(c). What is h in q(h) = 0?
0, 17
Let p(k) be the first derivative of k**6/9 + 12*k**5/5 + 37*k**4/3 - 88*k**3/3 - 225*k**2 - 324*k - 875. What is t in p(t) = 0?
-9, -2, -1, 3
Let t(n) be the first derivative of 35/2*n**2 - 145/6*n**3 + 5/3*n**4 + 14 - 20*n. Let s(k) be the first derivative of t(k). Factor s(g).
5*(g - 7)*(4*g - 1)
Let u be ((3/(-2))/(5949/1322))/((-1)/9). Factor -7*f**2 - 6*f - 1/3*f**4 - 8/3*f**u + 0.
-f*(f + 2)*(f + 3)**2/3
Let g(a) be the first derivative of 3*a**5/5 + 27*a**4/2 - 4*a**3 - 108*a**2 - 2088. Factor g(t).
3*t*(t - 2)*(t + 2)*(t + 18)
Let m(d) be the first derivative of 3*d**5/5 + 96*d**4 - 391*d**3 + 393*d**2 - 6764. Suppose m(g) = 0. Calculate g.
-131, 0, 1, 2
Let r(k) = -k - 3. Let g be r(-3). Suppose 0*b + 2*l = 5*b - 23, g = 3*l + 12. Factor -3*j**3 + b*j - 4*j + j**4 - 26*j**2 + 29*j**2.
j*(j - 1)**3
Find f, given that 64*f**4 - 97 - 138*f**3 + 49 + 32*f**5 - 64*f**2 - 30*f**5 + 48 + 136*f = 0.
-34, -1, 0, 1, 2
Let k(p) be the third derivative of p**7/735 + p**6/35 + 3*p**5/14 + 25*p**4/42 + 2648*p**2. Suppose k(s) = 0. What is s?
-5, -2, 0
Let d be (4/(-7))/(14/(-49)). Find h, given that -7166*h + 7196*h + 4*h**2 + h**d - 35 = 0.
-7, 1
Let x(z) be the second derivative of z**7/210 + z**6/50 - 3*z**5/100 - 7*z**4/60 + z**3/5 + 2*z - 1269. Determine d so that x(d) = 0.
-3, -2, 0, 1
Let v(m) = -6*m. Let d be v(-2). Suppose 0 = -4*u + d + 32. Factor 0*b**4 + 20*b**2 - 2*b**3 + 2*b**4 - u*b**2 - 13*b**2.
2*b**2*(b - 2)*(b + 1)
Let c = -116982/5 + 23287. Let k = c - -110. Solve 3/5*d**2 - k + 0*d = 0 for d.
-1, 1
Let v(r) be the first derivative of -r**5 - 35*r**4/2 + 60*r**3 + 140*r**2 - 640*r + 919. What is h in v(h) = 0?
-16, -2, 2
Let a = 723 + -1101. Let h = a - -1894/5. Factor 16/5*u**3 + h*u**4 + 16/5*u + 24/5*u**2 + 4/5.
4*(u + 1)**4/5
Let m(l) be the second derivative of -l**6/10 - 117*l**5/20 + 153*l**4/2 - 362*l**3 + 828*l**2 + 846*l - 4. Factor m(h).
-3*(h - 3)*(h - 2)**2*(h + 46)
Let f(g) be the first derivative of 5*g**6/24 - g**5/2 - 5*g**4/16 + 5*g**3/6 - 2456. Solve f(h) = 0.
-1, 0, 1, 2
Let s(z) be the second derivative of z**5/60 - 23*z**4/36 - 29*z**3/3 + 41*z - 23. Factor s(j).
j*(j - 29)*(j + 6)/3
Let r(a) be the first derivative of a**4/10 - 328*a**3/15 - 67*a**2 + 996*a/5 - 2078. Factor r(u).
2*(u - 166)*(u - 1)*(u + 3)/5
Let k(u) = 5*u - 13. Let a be k(3). Factor 705*o + 2720*o**a + 2420*o**3 - 440*o**2 + 45 + 800*o**2.
5*(o + 1)*(22*o + 3)**2
Let v = 9 + -7. Suppose 0 = -28517*p + 28260*p. Factor -2/5*i**v - 2*i + p.
-2*i*(i + 5)/5
Let g(f) = -11*f**2 - 2333*f + 659. Let d(n) = -17*n**2 - 4665*n + 1319. Let x(k) = -10*d(k) + 18*g(k). Suppose x(h) = 0. What is h?
2/7, 166
Suppose -4502 = -4294*x + 4086. Determine y, given that -7/3*y**x + 0 - 2/3*y + y**4 - 2/3*y**3 = 0.
-1, -1/3, 0, 2
Let m be 662/33 - (-33)/121. Let k = m - 59/3. Factor 2/9*y**2 - k*y + 0.
2*y*(y - 3)/9
Let h be (-9 - (-2)/((-312)/(-1395)))/(-5*(-36)/(-960)). Solve 0 - 10/13*q**3 + h*q**4 - 6/13*q**2 + 0*q = 0.
-1/2, 0, 3
Let o = -27 + 44. Suppose -39 = -4*d + o. Factor -20*b + 20 - 4*b**2 - b**2 - 9*b**3 + d*b**3.
5*(b - 2)*(b - 1)*(b + 2)
Suppose 5*a = -14 + 24. Let l(v) = -16*v**2 - 32*v + 34. Let d(o) = -35*o**2 - 64*o + 69. Let y(c) = a*d(c) - 5*l(c). Suppose y(b) = 0. What is b?
-4, 4/5
Let q(b) be the second derivative of b**5/4 - 2425*b**4/12 + 147620*b**3/3 - 146410*b**2 - 3*b + 78. Determine n, given that q(n) = 0.
1, 242
Let s(d) be the first derivative of d**4/18 - 4*d**3/27 - 29*d**2/9 + 20*d/3 - 694. Find z such that s(z) = 0.
-5, 1, 6
Let o(k) = k**2 + 106*k - 2089. Let g be o(-123). Factor -37*c + 1369/2 + 1/2*c**g.
(c - 37)**2/2
What is l in 84*l + 268963*l**5 + 17*l**3 - 316*l**2 - 28*l**2 - 268959*l**5 + 59*l**4 = 0?
-14, -3, 0, 1/4, 2
Let g(x) be t