**5/10 + 169*x**2. Let c(r) = 0. Calculate r.
-1/4, 0, 1/4, 2
Let y(t) be the third derivative of -t**7/70 - t**6/8 - 2*t**5/5 - t**4/2 - 61*t**2. Determine p, given that y(p) = 0.
-2, -1, 0
Let b(u) be the first derivative of -28*u**6/3 - 558*u**5/5 - 653*u**4/2 + 770*u**3/3 + 825*u**2 - 500*u - 722. Solve b(g) = 0 for g.
-5, -5/4, 2/7, 1
Let 10*j**2 + 195 - 14*j**2 - 377 + 190 - 4*j = 0. Calculate j.
-2, 1
Let i(a) be the first derivative of -a**6/120 - 3*a**5/20 + 7*a**4/8 + a**3/3 - 24. Let m(z) be the third derivative of i(z). Factor m(j).
-3*(j - 1)*(j + 7)
What is z in 63/4*z**4 - 2 + 39/4*z**3 - 11*z - 25/2*z**2 = 0?
-2/3, -2/7, 1
Let t(g) be the second derivative of g**5/4 + 10*g**4 + 120*g**3 - 8*g + 20. Determine h, given that t(h) = 0.
-12, 0
Let s(l) = -13*l**4 - 13*l**3 + 6*l**2 - l. Let j(z) = 4*z**4 + 4*z**3 - 2*z**2. Let f = 1 - -13. Let g(v) = f*j(v) + 4*s(v). Factor g(w).
4*w*(w - 1)*(w + 1)**2
Let k = -1177 - -2122. Let l be 1/7 + 75/k. Factor l*h**3 - 2/9*h + 0 + 0*h**2.
2*h*(h - 1)*(h + 1)/9
Let p(m) = 3. Let i(q) = q**2 - q - 21. Let b(t) = -i(t) - 5*p(t). Determine n, given that b(n) = 0.
-2, 3
Let w(p) = p**2 - 4*p + 3. Let t be w(4). Let g be ((-3)/2)/(3/(-10)). Solve -a**2 - a - t*a**2 + g*a = 0 for a.
0, 1
Solve 360*p**2 + 151 + 36 - 468*p - 64*p**2 - 96*p**4 + 80*p**3 + 4*p**5 - 3 = 0 for p.
-2, 1, 23
Let r = 25427/270 + -2540/27. Solve -169/10 + 5/2*y**2 + r*y**3 + 143/10*y = 0.
-13, 1
Factor -2/7*f - 4/7*f**2 + 4/7*f**4 + 0 + 2/7*f**5 + 0*f**3.
2*f*(f - 1)*(f + 1)**3/7
Solve 4 - t**4 - 10*t**2 + 24*t**2 - 11*t**2 - t**3 - t**3 + 8*t = 0 for t.
-2, -1, 2
Let d(n) be the first derivative of 16/3*n**3 + 6 + 1/5*n**5 + n - 8*n**2 - 5/3*n**4. Let j(l) be the first derivative of d(l). Factor j(z).
4*(z - 2)**2*(z - 1)
Let a be ((-93)/15 - -7) + 1. Let q(h) be the first derivative of -3 + 3/5*h**2 - a*h - 1/15*h**3. Determine z so that q(z) = 0.
3
Let d(j) be the first derivative of 5*j**4/6 - 23*j**3/3 + 53*j**2/6 + 2*j - 285. Factor d(t).
(t - 6)*(t - 1)*(10*t + 1)/3
Let o(b) be the first derivative of 5 + b**2 - 4/3*b - 2/9*b**3. Factor o(v).
-2*(v - 2)*(v - 1)/3
Let b(a) be the first derivative of -a**5/15 + a**4/4 + a**3/9 - a**2/2 + 79. Factor b(m).
-m*(m - 3)*(m - 1)*(m + 1)/3
Suppose 1 - 4*g**4 + 25 + 48*g + 44*g**2 + 6 - 120*g = 0. What is g?
-4, 1, 2
Let i(v) be the second derivative of v**4/12 - 23*v**3/6 + 38*v**2 - 38*v. Find o such that i(o) = 0.
4, 19
Let t be (-3)/(-1)*(-4 - -5). Suppose t*y = 10 + 5. Factor 3*j**2 - 9 + 2*j - j + y*j.
3*(j - 1)*(j + 3)
Determine f so that -4*f**3 - 44*f - 40/3 - 112/3*f**2 + 8/3*f**4 = 0.
-2, -1, -1/2, 5
Let s(j) be the first derivative of -2*j**3/33 + j**2 - 60*j/11 - 124. Factor s(n).
-2*(n - 6)*(n - 5)/11
Let z(j) be the third derivative of j**6/180 - j**5/30 - j**4/9 + 198*j**2. Factor z(l).
2*l*(l - 4)*(l + 1)/3
Determine b so that -3*b**3 + 198*b - 431*b**2 - 429*b**2 + 845*b**2 = 0.
-11, 0, 6
Factor 15*j + 5*j**4 + 4*j**2 - 8*j + 9*j - 10*j**3 - 3*j**4.
2*j*(j - 4)*(j - 2)*(j + 1)
Let n(h) be the third derivative of -h**3 - 13*h**2 + 35/32*h**6 + 0*h - 19/8*h**5 + 17/8*h**4 + 0. Find j such that n(j) = 0.
2/7, 2/5
Let m(k) = 2*k**3 - 4*k**2 - 20*k - 14. Let v(c) = -c**2 - 2*c - 1. Let s(d) = -m(d) + 6*v(d). Find o such that s(o) = 0.
-2, -1, 2
Find m, given that -3*m + 1/4*m**2 + 11/4 = 0.
1, 11
Let w be (4/(2/(-2)))/(-2). Let g be 8/3 - 3/(18/4). Suppose -h - h + w*h**2 + g*h - 2 = 0. What is h?
-1, 1
Let p(v) be the first derivative of 2*v**3/33 + 2*v**2/11 + 2*v/11 - 33. Factor p(q).
2*(q + 1)**2/11
Solve -6*z**2 + 27/4 - 63/4*z = 0.
-3, 3/8
Let d = -10 - -10. Suppose d = -4*t + 5*t - 6. Suppose 4 - 9*g**3 + t*g - 4 - 3*g**4 + 3*g**2 + 3*g**3 = 0. Calculate g.
-2, -1, 0, 1
Let f(z) be the first derivative of -z**5/160 + z**4/96 + 28*z + 23. Let i(w) be the first derivative of f(w). Factor i(q).
-q**2*(q - 1)/8
Let a(u) = 2*u**5 - 2*u**4 + 2*u**3 + 10*u**2 + 8*u - 8. Let b(w) = -2*w**3 - 1 + 0 + 3*w**3 + 0*w**3 + w + w**2. Let l(k) = -a(k) + 6*b(k). Factor l(v).
-2*(v - 1)**3*(v + 1)**2
Let n(w) be the second derivative of -w**4/12 + w**3 - 5*w**2/2 - 6*w. Let b(l) = l**2 - 5*l + 4. Let d(x) = -4*b(x) - 3*n(x). Let d(i) = 0. What is i?
1
Let -24/7*c**2 - 2/7*c**3 - 72/7*c - 64/7 = 0. Calculate c.
-8, -2
Let c(l) be the third derivative of l**6/360 + l**5/180 + 2*l**2 + 11. Solve c(b) = 0 for b.
-1, 0
Suppose 3*b**2 - b**2 + 27*b - 87*b = 0. Calculate b.
0, 30
Find p, given that 6*p**4 - 2*p**3 + 5*p**3 + 37*p**5 - 11*p**5 - 23*p**5 = 0.
-1, 0
Suppose 2/9*a**2 + 10082/9 - 284/9*a = 0. Calculate a.
71
Let c(g) be the second derivative of g**8/5880 - g**7/490 + 2*g**6/315 + 8*g**3/3 - 27*g. Let o(p) be the second derivative of c(p). Let o(i) = 0. Calculate i.
0, 2, 4
Factor 1/4*h**5 + 0 + 0*h**2 + 0*h - 1/4*h**4 - 1/2*h**3.
h**3*(h - 2)*(h + 1)/4
Let o be (0 - -3) + (-1 - 0). Suppose o*f - 6*f = -2*x - 8, 10 = 5*f + x. Let -2/5*c**f + 2/5*c**3 + 0 + 0*c = 0. Calculate c.
0, 1
Let p be (1 + 1)/((-3)/6). Let y(f) = f**3 + f**2 - 12*f + 2. Let j be y(p). Factor -1/2*c**4 + 2*c**3 - 1/2 + j*c - 3*c**2.
-(c - 1)**4/2
Solve 87 - 6*j**2 + 251 + 8*j**2 - 52*j = 0.
13
Let w(h) be the first derivative of -h**6/24 + 3*h**5/10 - 13*h**4/16 + h**3 - h**2/2 - 455. What is t in w(t) = 0?
0, 1, 2
Suppose 9*w = 10*w + w. Suppose w - 3*r**2 - 3/2*r - 3/2*r**3 = 0. Calculate r.
-1, 0
Suppose -5*y = -0*y - s - 106, s = 3*y - 62. Suppose -n + y = 10*n. Factor 1/2*z + 1/4*z**n + 0.
z*(z + 2)/4
Let q(s) = s**2 - 9*s + 18. Let u be q(7). Solve -4 + u*y**2 - 7*y + 7*y = 0.
-1, 1
Let v(a) = -a**4 + 58*a**3 - 426*a**2 + 1260*a - 1325. Let s(w) = -w**4 + w**3 + 1. Let u(j) = 2*s(j) + v(j). Solve u(r) = 0.
3, 7
Let b(n) = -7*n**4 + 3*n**3 - 3*n**2 + 7*n. Let g(w) = -w**4 + w**3 - w**2 + w. Let h be 9 - -1*(-4)/(-4). Let y(v) = h*g(v) - 2*b(v). Factor y(u).
4*u*(u - 1)*(u + 1)**2
Let a = -1564 - -7823/5. Determine q so that -6/5*q**2 + 0*q + a*q**3 + 0 = 0.
0, 2
Let n(k) be the second derivative of 0*k**2 + 1/114*k**4 - 2/57*k**3 + 1/190*k**5 - 2*k + 0. Factor n(a).
2*a*(a - 1)*(a + 2)/19
Let v(k) = 24*k**4 + 44*k**3 + 16*k**2 - 8*k + 4. Let y(x) = -24*x**4 - 44*x**3 - 16*x**2 + 10*x - 6. Let h(d) = -3*v(d) - 2*y(d). Determine w so that h(w) = 0.
-1, 0, 1/6
Let s = -152 - -138. Let i be 16/(-126) + (-8)/s. Determine c so that 2/9*c - 4/3*c**2 + i - 8/9*c**3 + 8/9*c**4 + 2/3*c**5 = 0.
-1, 2/3, 1
Let v(b) be the second derivative of -b**4/90 - 4*b**3/45 + b**2/3 - 19*b. Factor v(d).
-2*(d - 1)*(d + 5)/15
Let k(j) be the first derivative of 5*j + 0*j**2 + 3 + 1/27*j**3 - 1/90*j**5 + 0*j**4. Let s(t) be the first derivative of k(t). Factor s(b).
-2*b*(b - 1)*(b + 1)/9
Let f(m) be the first derivative of 11/8*m**2 + 9/16*m**4 - 4 + 1/2*m + 3/2*m**3. Factor f(n).
(n + 1)*(3*n + 1)*(3*n + 2)/4
Let s(l) be the second derivative of l**7/210 + 11*l**6/30 + 97*l**5/10 + 475*l**4/6 - 2527*l**3/6 + 6859*l**2/10 - 431*l. Factor s(n).
(n - 1)**2*(n + 19)**3/5
Suppose -13*r - 19*r = -96. Let k = -6 + 8. Factor -k + 2 - 2*h**r - 2*h - 4*h**2.
-2*h*(h + 1)**2
Let k(r) = r**4 + r**3 - r - 1. Let d(x) = -39*x**4 + 214*x**3 - 262*x**2 + 104*x - 17. Let t(o) = -3*d(o) + 33*k(o). Let t(i) = 0. What is i?
3/50, 1, 2
Let d(r) be the second derivative of -7*r**4/12 + 215*r**3/6 + 31*r**2 - r - 38. Factor d(x).
-(x - 31)*(7*x + 2)
Let v(z) be the second derivative of -z**4/16 + 35*z**3/2 - 3675*z**2/2 + 4*z + 28. Suppose v(o) = 0. Calculate o.
70
Let r = -6/83 + 184/249. Factor r - 1/3*h**2 - 1/3*h.
-(h - 1)*(h + 2)/3
Factor 0 + 0*i - 32/3*i**3 - 2/3*i**5 - 14/3*i**4 - 8*i**2.
-2*i**2*(i + 2)**2*(i + 3)/3
Let u(r) be the first derivative of -2*r**7/315 - r**6/45 + r**5/45 + r**4/9 - 11*r**2/2 - 4. Let a(q) be the second derivative of u(q). Factor a(c).
-4*c*(c - 1)*(c + 1)*(c + 2)/3
Let c be (1985/395 + -5)*-1. Let k = 164/237 + c. Suppose -1/3 - k*g - 1/3*g**2 = 0. What is g?
-1
Let l be 1 + -2 + (-7)/(42/(-12)). Let i(s) = s**2 - 1. Let p(d) = 8*d**2 + 20*d - 60. Let u(g) = l*p(g) - 10*i(g). Factor u(k).
-2*(k - 5)**2
Let o(z) be the third derivative of 0*z**3 + 1/180*z**5 - 35*z**2 + 0*z + 1/630*z**7 + 0 - 1/90*z**6 + 1/12*z**4. Let o(d) = 0. What is d?
-1, 0, 2, 3
Let z be (38/95)/(2/(-10)) + 8. Let p be (10/(-