30 + z**5/5 - z**4/3 - 13*z**2. Suppose h(y) = 0. Calculate y.
0, 1, 2
Suppose -8129*m + 10812*m**3 + 960*m**4 - 2704*m - 4134*m**2 + 3174 - 6967*m**5 + 6988*m**5 = 0. What is m?
-23, -1, 2/7, 1
Factor -78*s + 1/4*s**4 + 193/4*s**2 - 13/2*s**3 + 36.
(s - 12)**2*(s - 1)**2/4
Suppose -8*h + 14 = -10. Let g(u) be the first derivative of 2/3*u**h - 4*u**2 + 6*u + 6. Factor g(b).
2*(b - 3)*(b - 1)
Let c = 20 + -18. Let s(p) be the first derivative of 7 - 1/12*p**4 + 4/3*p + 0*p**c - 1/3*p**3. Factor s(v).
-(v - 1)*(v + 2)**2/3
Suppose g + 2*g - 3*l = 3, 0 = -5*l + 5. Determine p, given that 0*p + 5/4*p**g + 0 = 0.
0
Let o(k) be the first derivative of -21*k**5/80 + k**4/8 + 7*k**3/8 - 3*k**2/4 - 6*k + 1. Let u(j) be the first derivative of o(j). Factor u(y).
-3*(y - 1)*(y + 1)*(7*y - 2)/4
Let p(c) be the first derivative of 2*c**3/33 - 4*c**2/11 + 8*c/11 + 257. Factor p(k).
2*(k - 2)**2/11
Suppose -4*c + 2730 = 5*x, 5*x - 1201 - 1544 = -c. Let m = x - 3842/7. Factor 0 - 2/7*l**2 - m*l.
-2*l*(l + 4)/7
Factor 2/3*j + 1/9*j**2 - 1/9*j**3 + 0.
-j*(j - 3)*(j + 2)/9
Factor -3/4*p**3 + 15*p**2 - 231/4*p - 363/2.
-3*(p - 11)**2*(p + 2)/4
Let i(u) = u + 4. Let k be i(-2). Let x(z) be the first derivative of 2/3*z**3 + 4 - 2*z + 1/2*z**4 - z**k. Factor x(p).
2*(p - 1)*(p + 1)**2
Let i be 8/114*9/(-78)*-13. Factor -2/19*j**4 + 2/19*j**2 + 0 - 2/19*j + i*j**3.
-2*j*(j - 1)**2*(j + 1)/19
Suppose -3*n - 16 = 5*h - 1314, -5*h + n + 1294 = 0. Find r, given that -300*r**2 - h*r - 41*r**3 + r**3 - 2*r**4 - 1250 - 741*r = 0.
-5
Let f = -2/709 + 715/2127. Let c(h) be the third derivative of 1/3*h**4 + f*h**3 + 3*h**2 + 0 + 3/35*h**7 - 1/5*h**6 + 0*h - 1/15*h**5. Factor c(z).
2*(z - 1)**2*(3*z + 1)**2
Determine a so that 50*a - 3*a**2 - 138 + 4*a + 8*a + 73*a + 6*a**2 = 0.
-46, 1
Let v(y) be the first derivative of -y**7/210 + y**6/45 + y**5/30 - y**4/3 - y**3/3 + 13. Let q(o) be the third derivative of v(o). Factor q(h).
-4*(h - 2)*(h - 1)*(h + 1)
Suppose 3*g + 2*o - 24 = 31, 3*g - 40 = o. Let l = g - 11. Suppose -l*b**2 - 2*b**3 + 3*b - 2*b**2 + 5*b**3 = 0. What is b?
0, 1
Factor 2/5*m**3 + 0 - 18/5*m**2 + 0*m.
2*m**2*(m - 9)/5
Suppose -4*x - 13 = -4*d + 7, -5*d + 3*x + 19 = 0. Factor 9*f + 27*f**2 - 15*f**d + 6 - 9*f**2.
3*(f + 1)*(f + 2)
Solve -4*g + 192*g**4 + 3*g - 45*g**2 + 7*g - 3*g + 144*g**3 = 0.
-1, 0, 1/8
Let a = 301 - 295. Let k(u) be the third derivative of u**2 + 0 - 1/40*u**a + 0*u - u**3 - 1/5*u**5 - 5/8*u**4. Factor k(s).
-3*(s + 1)**2*(s + 2)
Let f(g) be the third derivative of -8*g**2 + 1/12*g**4 - 4/15*g**3 + 0*g - 1/150*g**5 + 0. Suppose f(p) = 0. What is p?
1, 4
Let i(q) be the second derivative of -4/19*q**2 + 18*q + 5/57*q**3 + 0 - 1/114*q**4. Suppose i(r) = 0. What is r?
1, 4
Let r(l) be the third derivative of 17*l**2 + 0*l**4 + l + 0 + 1/150*l**5 - 1/525*l**7 + 0*l**6 + 0*l**3. Factor r(i).
-2*i**2*(i - 1)*(i + 1)/5
Let a(r) be the third derivative of 0*r**7 + 0*r - 1/75*r**5 + 0*r**3 + 1/100*r**6 - 1/840*r**8 + 0*r**4 + 24*r**2 + 0. Factor a(g).
-2*g**2*(g - 1)**2*(g + 2)/5
Let l(n) be the second derivative of 25*n**7/63 - 29*n**6/27 - 67*n**5/90 + 31*n**4/18 + 40*n**3/27 + 4*n**2/9 - 115*n. Let l(b) = 0. Calculate b.
-2/3, -1/5, 1, 2
Let k(p) be the third derivative of -p**5/190 - 67*p**4/228 - 64*p**3/57 - 243*p**2. Factor k(j).
-2*(j + 1)*(3*j + 64)/19
Let d = -124 - -436/3. Let c = -12341 - -12341. Suppose c + 2/3*m**5 + 32/3*m + d*m**2 + 16*m**3 + 16/3*m**4 = 0. Calculate m.
-2, 0
Factor -1057*o**3 - 2*o**5 - 6*o**5 + 1051*o**3 + 21*o**4 - o**5.
-3*o**3*(o - 2)*(3*o - 1)
Let s = -2352/65 - -473/13. Let 12/5*t + 36/5 + s*t**2 = 0. Calculate t.
-6
Let w(j) be the third derivative of -3/2*j**3 + 0*j + 9*j**2 - 1/2*j**4 + 0 - 1/20*j**5. Factor w(f).
-3*(f + 1)*(f + 3)
Let y(d) be the first derivative of -d**3/3 - 72*d**2 - 5184*d + 281. Factor y(o).
-(o + 72)**2
Let b(t) be the second derivative of t**6/720 - t**5/80 - t**3 - 11*t. Let y(n) be the second derivative of b(n). Factor y(u).
u*(u - 3)/2
Let r(q) be the first derivative of -27*q**4/4 - 29*q**3 + 126*q**2 + 60*q + 23. Find k such that r(k) = 0.
-5, -2/9, 2
Let b(j) be the third derivative of j**5/60 - 113*j**4/6 + 25538*j**3/3 - 7*j**2 - 6. Let b(i) = 0. Calculate i.
226
What is l in -5/3*l + 4 + 5/3*l**3 + 2/3*l**4 - 14/3*l**2 = 0?
-4, -1, 1, 3/2
Suppose -61*k - 34*k + 380 = 0. Let h(j) be the second derivative of -9/2*j**2 - k*j**3 + 0 + 4*j + 3/4*j**4. Factor h(l).
3*(l - 3)*(3*l + 1)
Let d = 330255/17 + -19421. Solve -126/17*x + d + 30/17*x**2 - 2/17*x**3 = 0 for x.
1, 7
Suppose -3*r + 10 = 1. Factor g**3 + 5*g**3 - 4*g**4 - 5*g**4 + r*g**5 + 0*g**5.
3*g**3*(g - 2)*(g - 1)
Let a(b) = -b**2 - 6*b + 5. Let p be a(-6). Let -7*r + p*r**2 + 8*r - 5 + 6*r + 7 = 0. Calculate r.
-1, -2/5
Let n be 132/(-46) + (-21 - -24). Let h = 38/115 - n. Factor -2/5*r + 0 - 1/5*r**2 + h*r**3.
r*(r - 2)*(r + 1)/5
Let h(q) be the second derivative of q**4/6 - 2*q**3 + 10*q - 3. Factor h(j).
2*j*(j - 6)
Let c(h) be the first derivative of -5*h**4/4 + 5*h**3/3 + 5*h**2 + 157. Factor c(g).
-5*g*(g - 2)*(g + 1)
Let u(f) be the first derivative of -f**4/3 - 179*f**3/9 - 131*f**2/6 + 44*f/3 - 50. Determine q so that u(q) = 0.
-44, -1, 1/4
What is t in -515*t**4 - 747*t**3 + 130*t**3 - 1493*t**3 - 974*t + 5*t**5 - 535 - 1161*t - 3190*t**2 = 0?
-1, 107
Factor 106*l**3 - 46992/5*l**2 + 1409408/5*l - 2/5*l**4 - 1362944/5.
-2*(l - 88)**3*(l - 1)/5
Solve -1/7*w**2 + 11/7*w + 12/7 = 0 for w.
-1, 12
Let w(i) = -3*i**3 + 4*i**2 - 77*i + 50. Let r(x) = x**3 - 3*x**2 + 39*x - 25. Let m(f) = -13*r(f) - 6*w(f). Factor m(q).
5*(q - 1)**2*(q + 5)
Let g(w) be the third derivative of -1/1176*w**8 - 3/140*w**6 + 0*w**3 + 0 + 0*w + 1/30*w**5 + 1/147*w**7 - 10*w**2 - 1/42*w**4. Factor g(h).
-2*h*(h - 2)*(h - 1)**3/7
Suppose -4*z + 19*x + 12 = 18*x, 0 = -z - 5*x - 18. Let a be 1*(-26)/(-10) + -1. Solve -16/5*g - a - z*g**2 - 2/5*g**3 = 0.
-2, -1
Solve 276*c + 272 - 182*c**2 + 89*c**2 + 97*c**2 = 0.
-68, -1
Let l = 3178/2735 - 198/547. Find h such that 2/5 + 0*h - l*h**2 + 2/5*h**4 + 0*h**3 = 0.
-1, 1
Suppose -1/5*z**4 - 21/5*z**3 - 29*z**2 - 75*z - 50 = 0. Calculate z.
-10, -5, -1
Let 2*v - 2/7*v**2 - 12/7 = 0. What is v?
1, 6
Let p(h) = -240*h**4 + 3265*h**3 - 10955*h**2 - 2940*h + 35. Let j(r) = -20*r**4 + 272*r**3 - 913*r**2 - 245*r + 3. Let w(t) = -35*j(t) + 3*p(t). Factor w(v).
-5*v*(v - 7)**2*(4*v + 1)
Let j(g) be the second derivative of -g**6/40 + g**5/10 - g**4/8 + 9*g**2/2 - 5*g. Let m(k) be the first derivative of j(k). Determine d, given that m(d) = 0.
0, 1
Suppose -2*l - 2*q = 0, -5*l + 7 + 14 = -2*q. Let m be 117/3 + 24/(-8). Factor -14 + 27*b**4 - 15*b**2 - 36*b - 1 + m*b**3 + l.
3*(b - 1)*(b + 1)*(3*b + 2)**2
Find n such that -156/7 - 2/7*n**2 + 58/7*n = 0.
3, 26
Let j(s) be the first derivative of -32/9*s - 56/3*s**3 - 49/9*s**4 - 40/3*s**2 - 28. Solve j(v) = 0.
-2, -2/7
Suppose 0 = 4*j - 3*l + 44, 8*j + 44 = 4*j - 2*l. Let a(c) = -c - 7. Let p be a(j). Factor -2/5*u + 2/5*u**p + 2/5*u**3 - 2/5*u**2 + 0.
2*u*(u - 1)*(u + 1)**2/5
Let l = -2676 + 297034/111. Let c = l - -559/222. Factor -15/2*o - 5 - c*o**2.
-5*(o + 1)*(o + 2)/2
Let h = 24967/11 - 2269. Factor 8/11 - h*y + 2/11*y**3 - 2/11*y**2.
2*(y - 2)*(y - 1)*(y + 2)/11
Suppose -2*x + 12 = 4*p, 31 + 0 = -4*x + 3*p. Let h be 5 + x + (0 - -8). Determine k so that -h + k**3 + k**2 - 2*k + 9 = 0.
-2, 0, 1
Let o be ((-2)/(1 - 3) + -3)*-1. Factor 2*f**4 - 27*f**2 - o*f + 0*f + 14*f**2 + 2*f**3 + 11*f**2.
2*f*(f - 1)*(f + 1)**2
Let h(f) be the first derivative of 4*f**5/5 + 13*f**4 + 24*f**3 - 104*f**2 - 352*f - 269. Factor h(g).
4*(g - 2)*(g + 2)**2*(g + 11)
Determine q so that -35 + 50/3*q - 5/3*q**2 = 0.
3, 7
Suppose -98*v + 5 = -97*v. Let x(l) be the second derivative of 3/70*l**v + 0*l**2 + 0 + 1/28*l**4 - 1/14*l**3 + 7*l. Suppose x(a) = 0. Calculate a.
-1, 0, 1/2
Let n(d) = -d - 13. Let a be n(-16). Factor 20 - 13*p**a - 11 - 28*p - 2*p**4 - 17 - 30*p**2.
-(p + 2)**3*(2*p + 1)
Let t(w) be the first derivative of -5*w**4/8 - 25*w**3/6 - 35*w**2/4 - 15*w/2 - 401. Let t(g) = 0. What is g?
-3, -1
Let w(b) be the first derivative of -16 + 18*b**2 - 16/3*b**3 - 8*b. Solve w(k) = 0 for k.
1/4, 2
Factor -8/5*y**3 - 32/5 - 20*y - 76/5*y**2.
-4*(y + 1)*(y + 8)*(2