3*(i - 4)*(i - 1)
Suppose -5*x + 50 = -3*k, -30 = -x - 2*x + 2*k. Suppose 0 = -2*p - 5*n - 11, -3*p = -p - 2*n - x. Suppose 7 + p*f**2 + 2 + 2*f - 1 + 6*f = 0. What is f?
-2
Factor 579/7*q + 48/7 + 36/7*q**2.
3*(q + 16)*(12*q + 1)/7
Let c(z) be the first derivative of 5*z**3/3 + 45*z**2/2 - 110*z + 2. Suppose c(l) = 0. What is l?
-11, 2
Let u be -2*92/8 + 1. Let y = -19 - u. Factor 3*t**y - 13*t**2 - 2*t**3 + 14*t**2 - 2*t.
t*(t - 1)*(t + 2)
Let w be ((-1696)/4176)/((-6)/9). Let r = w - -21/29. Let 4/3*h**3 + 2/3*h**4 - r*h - 2/3 + 0*h**2 = 0. What is h?
-1, 1
Let h(s) = 4*s**3 - 32*s - 4. Let k(p) = -p + 1. Let m(b) = -h(b) - 4*k(b). Factor m(l).
-4*l*(l - 3)*(l + 3)
Let -8/3*y**5 + 37/6*y**2 + 13/2*y**3 + 1/2 - 23/6*y - 20/3*y**4 = 0. What is y?
-3, -1, 1/4, 1
Solve -1/5*z**2 + 0 - 7/5*z = 0.
-7, 0
Let r(m) = -120*m + 0*m**2 + 3*m**2 - 132 + 147. Let o(c) = c**2 - 30*c + 4. Let t(w) = -15*o(w) + 4*r(w). What is i in t(i) = 0?
-10, 0
Let d(q) = q**2 + 4*q + 4. Let v be d(-4). Find j such that 21*j**5 - 351*j**4 + 236*j**v - 7*j**5 + 40*j**2 + 21*j**5 - 110*j**3 = 0.
-1, 0, 2/7, 4
Let h = -53 + 25. Let m be (1/(-2))/(2/h). Solve 4 - 4 - m*d**2 + 4*d**2 - 3*d = 0 for d.
-1, 0
Let v = 361 - 359. Let x(j) be the third derivative of v*j**2 - 2/15*j**5 + 0*j + 0 + 1/6*j**4 + 1/30*j**6 + 0*j**3. Factor x(i).
4*i*(i - 1)**2
Let t be -24 + 32 - (-39)/(-5). Factor -6/5*w - t - 9/5*w**2 - 4/5*w**3.
-(w + 1)**2*(4*w + 1)/5
Suppose 9*j = 7*j + 4. Suppose -j*f + i = f + 1, -3*f + 4*i = 13. Factor 5*w**2 - 8*w + 6 - 3*w**2 + f - 1.
2*(w - 3)*(w - 1)
Let c(x) be the first derivative of 0*x**2 - 32 - 8/39*x**3 - 2/13*x**5 + 4/13*x**4 + 0*x + 1/39*x**6. Factor c(i).
2*i**2*(i - 2)**2*(i - 1)/13
Let w(q) = 9*q + 16. Let j(r) = r. Let p(o) = -14*j(o) + 2*w(o). Let b be p(-8). Factor b*t**2 + 0*t + 15/4*t**4 - 3/2*t**3 + 0.
3*t**3*(5*t - 2)/4
Let u(v) be the first derivative of v**6/60 - 3*v**5/80 + v**4/48 + 12*v + 3. Let j(s) be the first derivative of u(s). Determine p so that j(p) = 0.
0, 1/2, 1
Factor 3/5*a**4 + 18/5*a**2 + 12/5*a**3 + 3/5 + 12/5*a.
3*(a + 1)**4/5
Let u(a) be the second derivative of -a**4/4 - 11*a**3/2 - 45*a**2 - 99*a. Let u(x) = 0. Calculate x.
-6, -5
Let v(a) = -a**3 - 12*a**2 + a + 15. Let z be v(-12). Factor -6*y - 15*y**z + 410*y**2 - 193*y**2 - 196*y**2.
-3*y*(y - 1)*(5*y - 2)
Let m(q) be the second derivative of -q**5/4 + 5*q**4/12 + 10*q**3/3 - 10*q**2 - 242*q. Solve m(b) = 0 for b.
-2, 1, 2
Suppose 14 = 4*m - 2*d - 0*d, -5*d - 23 = -4*m. Let k(x) be the first derivative of 7 + 12/5*x**5 - 8/3*x**3 + 6*x**m - 2/3*x**6 - 4*x - 2*x**4. Factor k(g).
-4*(g - 1)**4*(g + 1)
Factor 2*t - 1/2*t**4 + 5/2*t**3 - 4*t**2 + 0.
-t*(t - 2)**2*(t - 1)/2
What is m in -8*m - 1/3*m**2 + 52/3 = 0?
-26, 2
Suppose -4*t + 2 = -6. Solve -2*o**2 - 6*o - 2*o**t + 20*o - 12 + 2*o = 0.
1, 3
Let j(d) be the second derivative of d**4/28 - 18*d**3/7 + 486*d**2/7 - 192*d. Let j(a) = 0. Calculate a.
18
Let s(j) be the first derivative of 2/3*j**3 - 6 - 3*j**2 + 4*j. Let s(l) = 0. Calculate l.
1, 2
Let o be (-1)/((-28)/30) + 162/378. Let p(x) be the first derivative of -6*x + o*x**2 - 9/4*x**4 + 9 + 4*x**3. Factor p(k).
-3*(k - 1)**2*(3*k + 2)
Let u(k) be the third derivative of k**7/1890 + k**6/180 + k**5/60 + 13*k**2 - k. Factor u(r).
r**2*(r + 3)**2/9
Let w = -924 + 227. Let z be 2/10*2 - w/170. Factor -11/2*y**2 - z*y + 1.
-(y + 1)*(11*y - 2)/2
Suppose 0 = 6*b - 5*b - 2. Suppose -b*z = -3*z + 3. Solve -6*l**2 + l - 7*l + 24*l**3 - z*l**2 - 9*l**4 = 0.
-1/3, 0, 1, 2
Let s(k) be the first derivative of -k**7/1120 + k**6/120 + k**5/32 + 11*k**3 - 26. Let y(w) be the third derivative of s(w). Solve y(i) = 0 for i.
-1, 0, 5
Let n(r) = -2*r**3 - 11*r**2 + 25*r - 15. Let w(f) = 4*f**3 + 23*f**2 - 51*f + 31. Let u(g) = -14*n(g) - 6*w(g). Solve u(q) = 0 for q.
-6, 1
Let l(f) be the first derivative of -f**8/336 + f**7/84 - f**6/72 - 5*f**3/3 + 6. Let u(q) be the third derivative of l(q). Factor u(a).
-5*a**2*(a - 1)**2
Let k(v) be the second derivative of v**5/10 - v**4/6 - v - 7. Factor k(p).
2*p**2*(p - 1)
Suppose 3*z - 106 = 56. Let q be -6*(-2)/z - (-8)/126. Factor -4/7*f + 4/7*f**3 + 0 + 2/7*f**4 - q*f**2.
2*f*(f - 1)*(f + 1)*(f + 2)/7
Let z(f) be the third derivative of -f**6/72 - 7*f**5/60 - 19*f**4/72 - f**3/6 - 169*f**2. Determine k so that z(k) = 0.
-3, -1, -1/5
Suppose -n + 4 = -0. Suppose n*i - 5*v = -17, -3*v = i + i - 19. Solve 4*m**3 - m**3 - 2*m**5 - m**3 - 2*m**4 + i*m**2 = 0.
-1, 0, 1
Let l(v) = -v**3 - 10*v**2 - 262*v - 2275. Let p be l(-9). Suppose 1/3*g**4 - 2/3 - g + 1/3*g**p + g**3 = 0. What is g?
-2, -1, 1
What is y in 3*y**3 + 12 - 26*y**2 - 6*y**3 - 27*y + 73*y**2 - 10*y**2 - 19*y**2 = 0?
1, 4
Determine q, given that -2/15*q**5 + 8/15*q**4 + 2/5*q - 8/15*q**2 + 0 - 4/15*q**3 = 0.
-1, 0, 1, 3
Let s(f) = -2*f**3 + 16*f**2 - 42*f. Let n(y) = 2*y**3 - 16*y**2 + 40*y. Let j(p) = -5*n(p) - 4*s(p). Find q, given that j(q) = 0.
0, 4
Suppose 2 - 4*h + 2*h**2 - 9 + 1 = 0. Calculate h.
-1, 3
Let y(l) be the second derivative of -l**4/12 + 14*l**3/3 - 98*l**2 - 8*l - 4. Suppose y(o) = 0. Calculate o.
14
Let d(n) = -n**4 - 12*n**3 - 36*n**2 + 100*n + 188. Let m(r) = 3*r**4 + 48*r**3 + 144*r**2 - 399*r - 753. Let x(t) = -15*d(t) - 4*m(t). Factor x(l).
3*(l - 4)**2*(l + 2)**2
What is w in -1/5*w**3 + 13/5*w + 7/5 + w**2 = 0?
-1, 7
Let d(g) be the third derivative of -2/1155*g**7 + 0*g + 1/165*g**5 + 0 + 1/132*g**4 + 0*g**3 - 1/660*g**6 - 23*g**2. Let d(b) = 0. What is b?
-1, -1/2, 0, 1
Let n(u) be the third derivative of u**11/1663200 - u**9/302400 + u**5/20 - 9*u**2. Let g(c) be the third derivative of n(c). Factor g(i).
i**3*(i - 1)*(i + 1)/5
Suppose 0*i**3 + 0*i**2 + 4/7*i**4 + 0*i + 4/7*i**5 + 0 = 0. What is i?
-1, 0
Let b(j) be the first derivative of -3*j - 9/2*j**2 + 2 - 3*j**3 - 3/4*j**4. Suppose b(i) = 0. Calculate i.
-1
Let a(y) be the second derivative of y**6/6 + 13*y**5/2 - 5*y**4/12 - 65*y**3/3 + 5*y - 6. Factor a(v).
5*v*(v - 1)*(v + 1)*(v + 26)
Let x(n) be the second derivative of n**6/60 - 3*n**5/40 + n**4/8 - n**3/12 + n + 9. Factor x(z).
z*(z - 1)**3/2
Let p(g) be the second derivative of g**6/600 + 3*g**5/200 - g**4/10 + 5*g**3/6 - 4*g. Let c(m) be the second derivative of p(m). What is w in c(w) = 0?
-4, 1
Suppose -15/4*f**4 - 9/4*f**3 - 15/2*f + 0 + 51/4*f**2 + 3/4*f**5 = 0. Calculate f.
-2, 0, 1, 5
Let o be (12/(-8))/(3 + (-5)/2). Let c be ((-7)/(-9))/(o*2/(-6)). Factor 0 + c*z**2 + 2/9*z.
z*(7*z + 2)/9
Let 895 + 314 + 98 + 123*l**2 - 107 - 1320*l - 3*l**3 = 0. Calculate l.
1, 20
Let h = 40522 + -40517. Find j, given that 10/13*j - 4/13*j**2 - 2/13 - 28/13*j**3 + 6/13*j**4 + 18/13*j**h = 0.
-1, 1/3, 1
Let w = -3236 - -16184/5. Factor -8/5*g**4 - 28/5*g + 32/5*g**2 + w*g**5 + 8/5 - 8/5*g**3.
4*(g - 1)**4*(g + 2)/5
Let v(x) be the first derivative of 0*x + 1/4*x**4 - 1/3*x**3 + 0*x**2 + 8. Solve v(w) = 0.
0, 1
Let n(w) be the third derivative of -w**6/300 + w**5/20 + 29*w**4/120 - 3*w**3/5 - 2*w**2 + 12. Factor n(c).
-(c - 9)*(c + 2)*(2*c - 1)/5
Let r(u) be the third derivative of -u**10/30240 - u**9/7560 + u**7/1260 + u**6/720 + u**4/3 + 6*u**2. Let o(g) be the second derivative of r(g). Factor o(a).
-a*(a - 1)*(a + 1)**3
Let -305*w + 150*w + 3 + 3*w**2 + 149*w = 0. Calculate w.
1
Let u(t) be the second derivative of -t**5/35 + 29*t**4/21 + 188*t**3/21 + 128*t**2/7 - 151*t. Factor u(g).
-4*(g - 32)*(g + 1)*(g + 2)/7
Suppose 20 = -5*l, 29*z + 12 = 33*z + l. What is h in -20/7*h**3 - 12/7*h - 4*h**2 + 0 - 4/7*h**z = 0?
-3, -1, 0
Let z(v) be the first derivative of -5*v**4/4 - 25*v**3/3 - 20*v**2 - 20*v - 21. Factor z(a).
-5*(a + 1)*(a + 2)**2
Let o(x) = 4*x**3 - 7*x**2 + 2*x + 10. Let c(y) = -23*y**3 + 42*y**2 - 11*y - 59. Let t(q) = -6*c(q) - 34*o(q). Let t(j) = 0. What is j?
-1, 1, 7
Let o(m) be the first derivative of -2*m**2 - 2/9*m**3 + 32 - 10/3*m. Factor o(x).
-2*(x + 1)*(x + 5)/3
Let w be 11/((-33)/936) - 0. Let v be w/(-90) - -1 - (-1)/3. Factor -16/5 - v*u - 2/5*u**3 - 12/5*u**2.
-2*(u + 2)**3/5
Let c(o) be the second derivative of -o**5/45 - o**4/9 + 32*o**3/27 - 8*o**2/3 + 4*o - 23. Suppose c(m) = 0. What is m?
-6, 1, 2
Let b = -283 + 287. Let a(r) be the second derivative of 0 + 1/21*r**6 + 17/70*r**5 - 8/7*r**2 + 1/7*r**