 + 0*u**2 - 4 - 37*u**2 - 5*u**f = 0.
-1, -2/21
Let d(f) = 22*f + f**2 + 12*f**2 + 11*f**3 + 7*f**2 + 3*f**2 + 7. Let o(c) = -32*c**3 - 70*c**2 - 66*c - 20. Let w(i) = -8*d(i) - 3*o(i). Factor w(t).
2*(t + 1)*(t + 2)*(4*t + 1)
Let g(c) be the first derivative of c**5 - 55*c**4/4 - 200*c**3/3 - 70*c**2 + 104. What is t in g(t) = 0?
-2, -1, 0, 14
Suppose -23*i - 6 = -25*i. Suppose i*v = -32 + 80. Factor 18 - 9*m**2 + 4*m**3 + v*m - 4*m + 18 - 11*m**2.
4*(m - 3)**2*(m + 1)
Suppose 0*r = 3*q - 3*r - 4410, -7350 = -5*q - 2*r. Factor -1060*y**4 - 420*y**2 - q*y**3 - 552*y**4 - 40*y - 103*y**4.
-5*y*(7*y + 2)**3
Let o(l) be the second derivative of l**4/21 - 20*l**3/21 + 32*l**2/7 - 14*l - 1. Suppose o(v) = 0. What is v?
2, 8
Let h(z) be the third derivative of -4/525*z**7 + 0 - 12*z**2 + 0*z + 0*z**4 + 1/75*z**5 + 0*z**3 + 1/280*z**8 - 1/60*z**6. Find w, given that h(w) = 0.
-1, 0, 1/3, 2
Let f(m) be the third derivative of -m**7/1155 + m**6/165 - m**5/110 - 51*m**2. Let f(u) = 0. Calculate u.
0, 1, 3
Let k(m) be the third derivative of m**6/360 + m**5/36 + m**4/12 + 129*m**2 - m. Solve k(z) = 0.
-3, -2, 0
Let s(c) be the first derivative of 2/3*c**2 + 20/9*c**3 + 30 + 0*c - 3/5*c**5 + 7/12*c**4. Factor s(y).
-y*(y - 2)*(y + 1)*(9*y + 2)/3
Let t be (-18)/(-12)*104/6. Suppose t*g - 28*g = 0. What is v in 0*v + 8/7*v**2 - 64/7*v**3 + 22*v**4 - 14*v**5 + g = 0?
0, 2/7, 1
Suppose -13 = -10*h + 17. Find g, given that g**3 + 6*g**2 + 2*g**2 + h*g - 8*g**2 + 3*g**2 + 1 = 0.
-1
Factor -9*y**4 - 147*y**2 - 7*y - 117*y**2 - 18*y - 45*y**3 - 38*y + 21*y**4.
3*y*(y - 7)*(y + 3)*(4*y + 1)
Let a = -30032 + 30034. Factor 0 + 2/3*m - 2/3*m**a.
-2*m*(m - 1)/3
Let l(h) be the second derivative of h**6/45 - h**5/3 + 16*h**4/9 - 38*h**3/9 + 5*h**2 - 14*h - 9. Find m such that l(m) = 0.
1, 3, 5
Let p(g) be the second derivative of -1/2*g**3 + 0*g**2 + 14*g - 1/4*g**4 + 0. Factor p(f).
-3*f*(f + 1)
Let q(y) be the first derivative of y**6/420 + y**5/105 + y**4/84 - y**2 - 18. Let t(k) be the second derivative of q(k). Suppose t(r) = 0. What is r?
-1, 0
Let h(f) be the third derivative of -f**6/80 - 5*f**5/24 - f**4/2 + 7*f**3/3 - 57*f**2. Factor h(b).
-(b + 2)*(b + 7)*(3*b - 2)/2
Factor -4*h**5 + 212*h**3 - 28*h**4 + 48*h**2 - 196*h**3 + 8*h**5.
4*h**2*(h - 6)*(h - 2)*(h + 1)
Factor 28 - 16 + 30*u**2 - 12 - 25*u - 5*u**3.
-5*u*(u - 5)*(u - 1)
Let d(w) = w**2 + 2*w + 5. Let l be d(-2). Factor l*t - t**3 - t**4 - 4*t + t**2 + 0*t**3.
-t*(t - 1)*(t + 1)**2
Let s(k) be the first derivative of 3/13*k**2 + 1 - 2/39*k**3 - 4/13*k. Determine t, given that s(t) = 0.
1, 2
Determine v so that 6*v + 48/5 - 21/5*v**2 - 3/5*v**3 = 0.
-8, -1, 2
Let -11/2*q + 7/4*q**2 + 5 - 1/8*q**3 = 0. What is q?
2, 10
Suppose -x + 3 = -0*x. Factor x*q**2 - q + q + 3*q + 1 + q.
(q + 1)*(3*q + 1)
Let r(h) be the third derivative of -h**5/150 - 3*h**4/5 - 108*h**3/5 - 14*h**2 + 4*h. Suppose r(u) = 0. What is u?
-18
Solve -3/7*g**2 - 99/7 - 102/7*g = 0 for g.
-33, -1
Let z(c) be the first derivative of -25*c**2 + 13 + 1/50*c**5 - 1/2*c**4 - 3*c + 5*c**3. Let t(s) be the first derivative of z(s). Find q such that t(q) = 0.
5
Suppose -3*k + 45 = -8*k. Let a be 6*(6/k - -2). What is t in -2*t**4 - 2*t**4 + a*t**2 - 4*t**4 - 4*t**5 + 4*t = 0?
-1, 0, 1
Let d(w) be the first derivative of w**4/18 - 10*w**3/3 + 161*w**2/3 + 1058*w/9 + 87. Let d(q) = 0. Calculate q.
-1, 23
Suppose 3*j - 2*u - 34 = 0, -24 = -5*j - 4*u - 4. Suppose -3*c - 2 = -j. Suppose -10*v**3 - 14*v**5 + 24*v**5 + c*v**4 + 2*v**4 - 4*v**2 = 0. Calculate v.
-1, -2/5, 0, 1
Let s(k) = -k**2 + 73*k - 778. Let l be s(60). What is o in -14/5*o**l + 6/5 + 6/5*o**3 - 14/5*o = 0?
-1, 1/3, 3
Suppose -6*k - 20 = -2*k. Let g = k + 10. Find c, given that -5*c - c**3 + g*c + c = 0.
-1, 0, 1
Suppose 0 = -q + 16 - 15. Let c(d) = -d**3 - 3*d**2 + 4*d + 6. Let r(l) = 1 + l**2 + 2*l + l - 4*l - 2. Let k(i) = q*c(i) + 6*r(i). Factor k(f).
-f*(f - 2)*(f - 1)
Let y be -6 + 2 + 2 - -4. Let v(b) be the first derivative of -1 - 4/3*b**3 + 0*b - 2*b**2 + y*b**4. Let v(l) = 0. What is l?
-1/2, 0, 1
Let q(y) be the second derivative of 1/20*y**4 + 5/2*y**2 + 3*y - 1/100*y**5 + 0 - 1/10*y**3. Let h(r) be the first derivative of q(r). Factor h(s).
-3*(s - 1)**2/5
Let g(m) = -5*m**3 - 289*m**2 - 539*m - 267. Let q(c) = -10*c**3 - 575*c**2 - 1080*c - 535. Let h(o) = 5*g(o) - 3*q(o). Factor h(i).
5*(i + 1)**2*(i + 54)
Let j be 19/133 + (-4)/(336/(-51)). Let v(l) be the first derivative of 0*l**2 - j*l**4 + l**3 - 1 + 0*l. Factor v(p).
-3*p**2*(p - 1)
Suppose -2*s = 5*z - 5, -5*z + 2*s + 5 = -20. Suppose 0 = 3*r - 9, 5*o = 4*r - 0*r + 68. Factor -5*p + 4 + 6*p - 6*p**2 + 15*p**z + 2 - o*p.
3*(p - 1)*(p + 1)*(5*p - 2)
Let t be 0 + 4 + (-1 - -1). Suppose -3*a = 3*h - 13 - 11, 0 = 2*a - 2*h. Factor -6*z**4 + 2*z**a + 4*z - t*z**5 + 8*z**2 - z**4 - 3*z**4.
-4*z*(z - 1)*(z + 1)**3
Let a = 65/3 + -319/15. Suppose -5*s = -5*f, 2*s - 5 = -2*f + 3. Factor 0*m**f + a*m**3 + 0 + 0*m.
2*m**3/5
Let b(o) be the second derivative of o**5/360 - o**4/48 - 9*o**2 + 33*o. Let v(r) be the first derivative of b(r). Suppose v(k) = 0. Calculate k.
0, 3
Let t(i) be the first derivative of 365/3*i**3 + 90*i**2 + 135/2*i**4 + 4 + 13*i**5 + 20*i. Suppose t(r) = 0. Calculate r.
-2, -1, -2/13
Let k(c) = 6*c**2 - 600*c + 4. Let o be k(100). Factor 1/2*i**o + 1/6*i**2 - 5/6*i**3 + 1/6*i + 0.
i*(i - 1)**2*(3*i + 1)/6
Suppose 0 = -10*q + 12*q - 8. Suppose q*y**2 - y + 3*y + 10*y = 0. Calculate y.
-3, 0
Let a be (-4)/(-1 + (11 - 17)). Solve 0*s - 4/7 + a*s**2 = 0.
-1, 1
Let z(a) be the second derivative of a**4/16 + 10*a**3 - 243*a**2/8 + 288*a. Solve z(d) = 0 for d.
-81, 1
Let b(o) be the second derivative of o**6/10 + 41*o**5/20 + 131*o**4/12 - 77*o**3/6 - 49*o**2 + 17*o. Factor b(j).
(j - 1)*(j + 7)**2*(3*j + 2)
Let j(q) = -3*q**2 - 4*q - 5. Let k(h) be the third derivative of -h**5/60 - h**3/6 + 2*h**2. Let x(s) = -j(s) + 2*k(s). Solve x(z) = 0 for z.
-3, -1
Suppose 0 = 26*p - 7*p. Let t(f) be the third derivative of 11*f**2 + p + 0*f**4 - 1/90*f**5 + 0*f**3 + 0*f**6 + 0*f + 1/315*f**7. Solve t(a) = 0 for a.
-1, 0, 1
Let m(k) = -8*k**2 + 40*k + 48. Let o(g) = 25*g**2 - 120*g - 145. Let j(y) = 10*m(y) + 3*o(y). Suppose j(h) = 0. What is h?
-1, 9
Let u be 2/1 - (0 + 0). Suppose d**2 + d + 4*d**u - d**2 - 5*d**2 = 0. Calculate d.
0, 1
Let p be ((-1815)/(-88) + 50/40)*(-6)/(-7). Find x such that -p*x - 21/4*x**3 - 3/8*x**4 + 375/8 - 45/2*x**2 = 0.
-5, 1
Let u be 6/(-10)*(29 + -32). Let -3/5*g**4 + 12/5*g - 6/5*g**2 + u - 12/5*g**3 = 0. Calculate g.
-3, -1, 1
Suppose 0*u - 4 = -4*n - 4*u, -n = 3*u + 3. Factor -10 + 2*y**3 - y + 4*y + 9*y**2 + 1 - 5*y**n.
-3*(y - 3)*(y - 1)*(y + 1)
Suppose -3*u - 55 = -61. Let z be u - 6/(-4)*48/(-45). Let -z + 9/5*l - 3*l**2 - 3/5*l**4 + 11/5*l**3 = 0. What is l?
2/3, 1
Let x = 7 + 11. Suppose -5*n = -33 + x. Factor -3*p**3 + 1 + p**n - 4*p**4 + 2*p - 3*p**4 + 6*p**4.
-(p - 1)*(p + 1)**3
Let c(a) = 2*a**3 - 12*a**2 - 4*a + 5. Let t(h) = -3*h**3 + 17*h**2 + 8*h - 7. Let w(q) = 7*c(q) + 5*t(q). Factor w(d).
-d*(d - 4)*(d + 3)
Let -87/2 + 9/4*l**2 - 3/4*l**4 - 87/4*l**3 + 255/4*l = 0. Calculate l.
-29, -2, 1
Let l(z) be the first derivative of -z**4/11 - 2*z**3/33 + z**2/11 + 147. What is p in l(p) = 0?
-1, 0, 1/2
Let i(d) = 3*d - 3. Let m = -1 - -3. Let r be i(m). Determine b so that 2*b**3 + 1 + 0*b**3 + 3*b - 6*b**r = 0.
-1/2, 1
Let s(d) = d**3 - 12*d**2 - 14*d + 16. Let g be s(13). Suppose g*o + 9 = 5*a, -4*o + 5*a - 7 = -0*a. Solve 2 - 3 - 2 - 4*b + o*b + b**2 = 0.
-1, 3
Let u(n) = n**2 - 6*n + 10. Let r be u(5). Let o(l) be the first derivative of -3 + 7/12*l**2 - 1/30*l**r - 1/3*l - 1/2*l**3 + 5/24*l**4. Solve o(z) = 0 for z.
1, 2
Let n(j) = 87*j + 4005. Let z be n(-46). What is q in -57/8*q**3 - 165/8*q**4 + z*q + 69/8*q**2 - 3/2 - 75/8*q**5 = 0?
-1, 2/5
Suppose -5*q = -4*q - 13. Solve -4*d**2 + q*d**3 - 13*d - 12*d**2 + 4*d**2 + 21*d**4 - 2 - 7*d**2 = 0 for d.
-1, -1/3, -2/7, 1
Let v(g) = 9*g**3 + 39*g + 48. Suppose 23 = -2*z - 5*u - 13, 4*u - 5 = z. Let n = -9 - z. Let r(i) = -i**3 - 5*i - 6. Let p(b) = n*v(b) + 33*r(b). Factor p(j).
3*(j - 2)*(j + 1)**2
Let k(i) = -3*i**2 + 14*i - 12. Let r(j) = -8 + 21*j**2 + 104 - 99*j - 12. Let f(g) = -15*k(g) - 2*r(g). Solve f(