**2 + v = 0. What is c?
1
Find v such that -v**5 + 0*v**5 + 0*v**3 - 6 + 3 - 3 + 8*v**3 + 6*v**2 - 7*v = 0.
-2, -1, 1, 3
Factor -30*t**2 - 15*t**3 + 676 + 17*t**3 + 234*t - 6*t**2 - 12*t**2.
2*(t - 13)**2*(t + 2)
Factor 60*v**3 - 235*v**4 - 90*v + 255*v**4 + 90*v - 5*v**5.
-5*v**3*(v - 6)*(v + 2)
Let s = 41/52 - 7/13. Let n = 28463/4 - 7115. Factor s*j**2 + n + j.
(j + 1)*(j + 3)/4
Let k(r) be the second derivative of -r**5/26 - 49*r**4/78 - 35*r**3/39 + 9*r**2/13 + 149*r. Suppose k(t) = 0. What is t?
-9, -1, 1/5
Let v(a) = -2*a**5 + 9*a**4 + a**3 + 5*a**2 - 5*a + 5. Let n(k) = -3*k**5 + 9*k**4 + 6*k**2 - 6*k + 6. Let h(z) = 5*n(z) - 6*v(z). Factor h(t).
-3*t**3*(t + 1)*(t + 2)
Let l = 965 + -6731/7. Let j = -442/133 + l. Determine n so that j*n**2 + 0 + 4/19*n**3 - 2/19*n = 0.
-1, 0, 1/2
Let j(k) = -35*k**2 - 110*k - 1445. Let p(g) = -g**2 + 2*g. Let v(h) = -j(h) + 30*p(h). Factor v(f).
5*(f + 17)**2
Let l(m) = 9*m**3 - 27*m**2 + 15*m - 6. Let z(k) be the third derivative of -k**6/120 - k**4/24 - k**3/6 + 3*k**2. Let v(g) = -l(g) + 3*z(g). Factor v(s).
-3*(s - 1)**2*(4*s - 1)
What is y in -9*y**4 + 2*y**2 + 281*y**3 + 14*y**4 - 274*y**3 = 0?
-1, -2/5, 0
Let m = 1387/519 + -1/173. Solve -x**3 - m*x + 0 + 14/3*x**2 = 0.
0, 2/3, 4
Let r(j) be the second derivative of j**4/21 + 2*j**3/21 + 15*j. Factor r(s).
4*s*(s + 1)/7
Let g(h) = -1 + 4*h**3 - 1 - 3*h**4 + 2*h**2 + 3 + 0*h**3. Let o(b) = 4*b**4 - 5*b**3 - 3*b**2 - 1. Let p(t) = -5*g(t) - 4*o(t). Find v such that p(v) = 0.
-1, 1
Let v = -28 - -4. Let p be ((-2)/((v/(-21))/(-4)))/5. Factor -p*f**3 + 7/5*f + 2/5 - 2/5*f**2.
-(f - 1)*(f + 1)*(7*f + 2)/5
Suppose -12*i - 6 = -13*i. Let t(n) be the third derivative of 2/15*n**5 + 0*n + 1/6*n**4 + 3*n**2 + 1/210*n**7 + 1/24*n**i + 0*n**3 + 0. Solve t(l) = 0.
-2, -1, 0
Let i(p) be the first derivative of 2/9*p**3 + 1/3*p**2 + 11 + 0*p. Let i(y) = 0. Calculate y.
-1, 0
Find z, given that 1/7*z**2 + z**3 + 1/7*z**5 + 4/7 - 5/7*z**4 - 8/7*z = 0.
-1, 1, 2
Suppose 0*h + 12 = 3*h. Solve -535*b**4 + 64*b**3 - 69 + 544*b**2 - 57 + 62 - 845*b**h - 64*b + 900*b**5 = 0 for b.
-2/5, 2/3, 1
Let m(n) = 28*n**2 - 128*n + 104. Let c(q) = q**3 + 55*q**2 - 257*q + 211. Let h(y) = -2*c(y) + 5*m(y). Factor h(s).
-2*(s - 7)**2*(s - 1)
Let l(u) be the first derivative of -3*u**6/2 + 21*u**5 + 38*u**4 + 52*u**3/3 - 382. Factor l(w).
-w**2*(w - 13)*(3*w + 2)**2
Factor -600*q**3 - 270*q**2 - 280*q**4 - 24*q**5 - 21*q**5 + 15*q - 411*q**2 - 95*q + 201*q**2.
-5*q*(q + 2)**3*(9*q + 2)
Let z(r) be the third derivative of r**10/680400 - r**8/7560 - 2*r**7/2835 + 11*r**5/20 + 36*r**2. Let j(t) be the third derivative of z(t). Factor j(o).
2*o*(o - 4)*(o + 2)**2/9
Let i(b) be the third derivative of b**11/831600 + b**10/126000 + b**9/75600 - 11*b**5/30 + 18*b**2. Let d(h) be the third derivative of i(h). Factor d(x).
2*x**3*(x + 1)*(x + 2)/5
Suppose -2*m - 105 = -109. Factor 12*h + 8 + 55*h**3 - 115*h**3 + 53*h**3 + h**5 - m*h**2.
(h - 2)**2*(h + 1)**2*(h + 2)
Let r(h) = -15*h**3 + 95*h**2 - 715*h + 615. Let z(o) = -o**3 - 2*o**2 + 1. Let u(y) = -r(y) + 10*z(y). Factor u(t).
5*(t - 11)**2*(t - 1)
Let u(v) be the first derivative of -v**5/15 - 11*v**4/12 - 19*v**3/9 - 3*v**2/2 - 143. Factor u(o).
-o*(o + 1)**2*(o + 9)/3
Let v(m) be the first derivative of m**4/6 + 2*m**3/3 + m**2 + 12*m + 18. Let x(g) be the first derivative of v(g). Factor x(q).
2*(q + 1)**2
Let n = 32/31 - 129/155. Let z(c) be the first derivative of -n*c**2 - 4/15*c**3 + 4/5*c + 4 + 1/10*c**4. Factor z(d).
2*(d - 2)*(d - 1)*(d + 1)/5
Let s(a) be the second derivative of 1 + 1/15*a**6 + 1/3*a**3 + a**2 + 1/21*a**7 - 1/5*a**5 - 1/3*a**4 + 13*a. Factor s(j).
2*(j - 1)**2*(j + 1)**3
Let j(k) be the first derivative of 0*k - 1/6*k**2 - 15 + 1/9*k**3. Factor j(z).
z*(z - 1)/3
Factor -3*i**3 + 33/2*i**2 + 0 - 3/2*i**4 + 18*i.
-3*i*(i - 3)*(i + 1)*(i + 4)/2
Suppose -3*h + 6 = -0*h. Determine w, given that 19*w**2 + 21*w**2 + h*w - 37*w**2 + w**3 + 0*w = 0.
-2, -1, 0
Let c(y) = 53*y**3 - 9*y**2 - 86*y + 79. Let a(v) = 10*v**3 - 2*v**2 - 17*v + 16. Let q(z) = 11*a(z) - 2*c(z). Let q(b) = 0. Calculate b.
-2, 3/2
Let o be (3/(-2))/(12/(-224)). Suppose y = 7*s - 2*s + o, 16 = -3*y - 5*s. Factor 2/3*c**y + 4/3*c**2 + 0*c + 0.
2*c**2*(c + 2)/3
Let f(m) be the second derivative of -m**5/50 - 13*m**4/10 - 22*m**3/3 - 72*m**2/5 - 22*m + 1. Let f(t) = 0. Calculate t.
-36, -2, -1
Suppose -2*f - i = 16, 0 = -4*f - 3*i - i - 32. Let l be 3 - f/(-2) - -3. Factor 2/3*u**2 + l - 8/3*u.
2*(u - 3)*(u - 1)/3
Let z = -8 + 14. Let b be (2/(-3))/(z/(-18)). Factor -i**b - 9*i**2 + 7*i**2 + 3*i.
-3*i*(i - 1)
Let z = 4434 - 4431. Determine n, given that 6/11*n - 2/11*n**z + 0*n**2 - 4/11 = 0.
-2, 1
Let h(b) be the third derivative of b**5/15 - 39*b**4/8 + 29*b**3/6 - 257*b**2. Let h(r) = 0. What is r?
1/4, 29
Suppose -2/11*j**2 - 7442/11 - 244/11*j = 0. What is j?
-61
Factor 5/3*v**3 - 920/3*v - 215/3*v**2 - 940/3.
5*(v - 47)*(v + 2)**2/3
Suppose 4*d - 4 = 2*d. Let k be (-2 + 2)*1/d. Determine p so that -2*p**2 - 4*p**2 + 5*p**2 + k*p**3 + p**3 = 0.
0, 1
Suppose 6*g + 148 - 166 = 0. Let v(u) be the third derivative of g*u**2 - 1/360*u**5 + 1/18*u**3 + 0 + 1/144*u**4 + 0*u. Factor v(z).
-(z - 2)*(z + 1)/6
Let i = 1291 - 10315/8. Factor -1/2 + 3/4*c**3 - i*c**2 - 1/8*c**4 + 3/2*c.
-(c - 2)**2*(c - 1)**2/8
Let x(i) be the third derivative of -i**7/56 + 7*i**6/120 - i**5/20 + 2*i**3 + 14*i**2. Let n(t) be the first derivative of x(t). Let n(a) = 0. What is a?
0, 2/5, 1
Let o be 38 + -1 + (-4 - -2). Let k be (-55)/o + 1*(3 + -1). Find h such that 2/7*h**3 + k*h**2 - 1/7*h**4 - 4/7*h - 4/7 = 0.
-1, 2
Let b(n) = 1. Let r(x) = -124*x**3 + 240*x**2 + 16*x - 6. Let l(s) = -6*b(s) - r(s). Factor l(q).
4*q*(q - 2)*(31*q + 2)
Factor -16*m**2 + 19*m**3 - 67*m**3 + 32 + 30*m + 34*m + 18*m**4.
2*(m - 2)**2*(3*m + 2)**2
Let i(o) be the second derivative of 2/21*o**3 - 2/21*o**4 + 3/7*o**2 + 0 - 1/35*o**5 - 9*o + 1/105*o**6. Find c, given that i(c) = 0.
-1, 1, 3
Factor 0 + 4/5*l**3 + 1/5*l**5 - 6/5*l**4 + 6/5*l**2 - l.
l*(l - 5)*(l - 1)**2*(l + 1)/5
Let y(s) = -s**2 + 4*s + 3. Let u(b) = -3*b**2 + 8*b + 5. Let r(i) = -3*u(i) + 5*y(i). Let f(o) = o**2 - o. Let j(c) = -8*f(c) + r(c). Factor j(x).
-4*x*(x - 1)
Let y(d) be the second derivative of 0 + 0*d**4 - 1/20*d**5 + 0*d**3 - 3/2*d**2 + 1/40*d**6 - 2*d. Let z(s) be the first derivative of y(s). Factor z(n).
3*n**2*(n - 1)
Let l(g) = 21*g**3 - 30*g**2 - 88*g - 92. Let w(b) = -2*b**3 + b**2 - b + 1. Let r = 138 - 140. Let a(o) = r*l(o) - 22*w(o). Determine h so that a(h) = 0.
-9, -1
Determine r, given that -18*r**2 + 111/4*r**3 + 3*r**5 + 0 + 3*r - 63/4*r**4 = 0.
0, 1/4, 1, 2
Let m be (63/54 - 1)*0. Factor 0 + 3*u**3 + 6/7*u**2 - 12/7*u**4 + m*u.
-3*u**2*(u - 2)*(4*u + 1)/7
Suppose b - 4*b + 45 = 0. Suppose 3*f - 8*f = -b. Factor 0*c + 0*c**3 - 8*c + 16*c**2 - 4*c**f - 8*c.
-4*c*(c - 2)**2
Let z = -3549 + 3549. Factor -1/5*p**4 + 1/5*p**2 + 0*p + z*p**3 + 0.
-p**2*(p - 1)*(p + 1)/5
Let q(v) be the first derivative of -v**9/4032 + v**8/1120 - v**6/240 + v**5/160 + 4*v**3 - 4. Let m(h) be the third derivative of q(h). Factor m(t).
-3*t*(t - 1)**3*(t + 1)/4
Let g(j) be the second derivative of j**8/36960 - j**7/2772 + 11*j**4/12 - 29*j. Let z(i) be the third derivative of g(i). What is p in z(p) = 0?
0, 5
Let f(b) be the first derivative of -8/9*b**3 - 5/3*b**2 + 6 - 4/3*b - 1/6*b**4. Factor f(m).
-2*(m + 1)**2*(m + 2)/3
Suppose -16 = -d - 3*d. Let v(h) = 9*h - h + 3 + 1 - d*h. Let p(t) = -t**2 - 1. Let u(z) = -4*p(z) - v(z). Let u(o) = 0. What is o?
0, 1
Let z(y) = 3*y**4 + y**3 - 2*y**2 + 2. Let k(u) be the first derivative of -u**5/5 - u + 7. Let x(l) = -6*k(l) - 3*z(l). Factor x(n).
-3*n**2*(n - 1)*(n + 2)
Suppose -3*i = -i + 66. Let w = i - -133/4. What is v in -v - 3/4*v**2 - w = 0?
-1, -1/3
Let b(n) = -4*n**2 + 43*n + 32. Let s(h) = 7*h**2 - 64*h - 47. Let u(t) = -8*b(t) - 5*s(t). Suppose u(l) = 0. What is l?
-7, -1
Factor -34*y**2 - 4*y**3 - 8*y**3 + 9*y**2 - 2*y**4 + 15*y**2 + 12*y + 12*y**2.
-2*y*(y - 1)*(y + 1)*(y + 6)
Let l(g) be the second derivative of g**5/10 + 5*g**4/3 + 23*g**3/3 + 14*g**2 - 62*g. Factor l(y).
2*(y + 1)*(y + 2)*(y + 7)
Solve 10 + 5/2*s**5 - 75/2*s - 25*s**3 + 50*s**2 + 0*s**4 = 0.
