hat j(c) = 0.
-2/5, 0, 2/3, 1
Let g(v) be the first derivative of v**7/21 - v**6/15 - 3*v**5/10 + v**4/6 + 2*v**3/3 + 5*v - 6. Let n(a) be the first derivative of g(a). Factor n(r).
2*r*(r - 2)*(r - 1)*(r + 1)**2
Let t(c) be the third derivative of -5*c**8/336 - c**7/24 - c**6/36 + 11*c**3/6 - 19*c**2. Let z(g) be the first derivative of t(g). Factor z(m).
-5*m**2*(m + 1)*(5*m + 2)
Let w = -2/895 + 183/1790. Let j(b) be the second derivative of -w*b**2 + 7*b + 0 - 1/60*b**4 - 1/15*b**3. Factor j(i).
-(i + 1)**2/5
Let y(u) be the second derivative of u**7/210 - u**6/60 - u**5/60 + u**4/12 - u**2/2 - 26*u. Let a(j) be the first derivative of y(j). Factor a(p).
p*(p - 2)*(p - 1)*(p + 1)
Let y be (-24)/16*((-236)/114 - -2). Find u such that -6/19*u + 8/19 - y*u**2 = 0.
-4, 1
Let y be (17/(-68))/((-2)/(-636)). Let s = y + 81. Determine z, given that -3*z**3 + 3*z + 0 - 3/2*z**4 + s*z**2 = 0.
-2, -1, 0, 1
Let z = -5340 - -37382/7. Factor 0*q**3 + z*q**2 + 0*q + 0 - 2/7*q**4.
-2*q**2*(q - 1)*(q + 1)/7
Let l(p) = -15*p**4 + 25*p**3 + 155*p**2 + 75*p - 40. Let d(m) = 15*m**4 - 24*m**3 - 153*m**2 - 74*m + 40. Let z(b) = 5*d(b) + 4*l(b). What is i in z(i) = 0?
-2, -1, 1/3, 4
Let m be ((-42)/35)/(20/(-375)*6). Let j(a) be the second derivative of 0 + 8*a + 5/3*a**3 + 9/4*a**5 + 0*a**2 + m*a**4. What is b in j(b) = 0?
-2/3, -1/3, 0
Let l be (-2)/12*(-30 - -18). Suppose 50/3 + 20/3*o + 2/3*o**l = 0. What is o?
-5
Let l = -653/6 - -109. Let t(d) be the first derivative of 2 + 0*d - l*d**4 + 8/9*d**3 - 4/3*d**2. Factor t(j).
-2*j*(j - 2)**2/3
Let c(k) = 1583*k + 4749. Let p be c(-3). Find g, given that -52/7*g**2 - 8/7*g + 48/7*g**4 + p - 68/7*g**3 = 0.
-1/3, -1/4, 0, 2
Let q be ((-26)/65)/(64/(-40)). Factor 0 - q*t - 1/4*t**2 + 1/4*t**4 + 1/4*t**3.
t*(t - 1)*(t + 1)**2/4
Let m(k) be the second derivative of -k**4/8 + 75*k**2/4 + 18*k - 2. Factor m(w).
-3*(w - 5)*(w + 5)/2
Let f(k) = -k**2 + 5*k - 2. Let r(s) = s**3 + 10*s**2 - 10*s + 15. Let z be r(-11). Let m be f(z). Let -5 + 26*l**2 - 1 - 23*l**m - 3*l = 0. What is l?
-1, 2
Solve -1487*q**4 + 336*q + 1499*q**4 - 3*q**5 + 48 + 24*q**3 - 240 - 192*q**2 = 0.
-4, 2
Determine y, given that -216*y**2 - 12*y + 435*y**2 - 16 - 215*y**2 = 0.
-1, 4
Let y(r) be the third derivative of -r**8/30240 - r**7/378 - 5*r**6/54 - 2*r**5/15 - 28*r**2. Let c(b) be the third derivative of y(b). Factor c(x).
-2*(x + 10)**2/3
Let q(w) be the second derivative of 1/28*w**7 + 3/40*w**6 - 3*w + 3/8*w**2 - 1/4*w**4 - 3/40*w**5 + 0 + 0*w**3. What is a in q(a) = 0?
-1, 1/2, 1
Suppose 8*p = 20*p - 72. Let s(j) be the third derivative of -1/52*j**4 + 0 - 1/39*j**3 + 0*j - 1/130*j**5 - 1/780*j**p + 6*j**2. Let s(x) = 0. Calculate x.
-1
Suppose 51/5 - 48/5*n - 3/5*n**2 = 0. What is n?
-17, 1
Suppose 0 = -3*w + 3*g - 0 + 6, -4*w - 2*g - 22 = 0. Let x be -2 + (w - 0 - -8). Factor 20*o**5 + 3*o**2 + 2*o**2 + 36*o**3 + x*o**2 + 0*o**5 + 48*o**4.
4*o**2*(o + 1)**2*(5*o + 2)
Suppose -5*l - l = 2*l. Let i(d) be the first derivative of -d**4 + 8/15*d**5 - 1/9*d**6 - 1/3*d**2 + l*d - 7 + 8/9*d**3. Let i(u) = 0. Calculate u.
0, 1
Suppose -19 + 11 = -4*a. Factor -1 - 6*l**2 + 6*l**a + 2*l**2 - l**2.
(l - 1)*(l + 1)
Factor 3*g**4 + 880*g**2 + 6 + 30 - 919*g**2 + 33*g - 33*g**3.
3*(g - 12)*(g - 1)*(g + 1)**2
Let o(v) be the third derivative of 19*v**2 + 0 + 4/7*v**3 + 1/14*v**5 + 1/140*v**6 + 0*v + 2/7*v**4. Factor o(k).
6*(k + 1)*(k + 2)**2/7
Solve -20/9*s - 2/9*s**2 - 32/9 = 0 for s.
-8, -2
Let o(g) be the third derivative of g**6/420 - g**5/30 + 13*g**2 - 3*g. Determine c, given that o(c) = 0.
0, 7
Let p(v) be the third derivative of v**7/1155 + 7*v**6/330 + v**5/10 - 28*v**4/33 + 64*v**3/33 + 309*v**2. Factor p(r).
2*(r - 1)**2*(r + 8)**2/11
Let u = -8 - -4. Let n be 6/u*(-1 + -9). Factor -n*x - 16*x + 33*x - 2*x**3.
-2*x*(x - 1)*(x + 1)
Let i(w) be the third derivative of -w**5/20 - 11*w**4/8 - 5*w**3 - 10*w**2 + 9*w. Solve i(x) = 0.
-10, -1
Factor -18/19*i - 20/19 + 2/19*i**2.
2*(i - 10)*(i + 1)/19
Let y be (-290)/(-1015) - (-9)/21. Factor -1/7*w**3 - 6/7*w + y*w**2 + 0.
-w*(w - 3)*(w - 2)/7
Let g = 991 + -267569/270. Let d(f) be the third derivative of -1/36*f**4 + 0*f - 5*f**2 + g*f**5 + 2/27*f**3 + 0. Find y, given that d(y) = 0.
1, 2
Let p(w) be the second derivative of -2*w**6/75 + 4*w**5/25 - w**4/3 + 4*w**3/15 - 25*w. Factor p(m).
-4*m*(m - 2)*(m - 1)**2/5
Let i = -845 + 845. Let n(f) be the first derivative of -4/9*f**3 + 0*f - 10 + 2/3*f**4 + 1/18*f**6 - 1/3*f**5 + i*f**2. Determine t so that n(t) = 0.
0, 1, 2
Solve -7*y**2 - 42 + 17*y + 2*y**2 + 3*y**2 - 61*y = 0.
-21, -1
Let z = 39161/17136 + 1/2448. Factor -z*t**3 - 8/7*t**2 + 0 + 0*t - 10/7*t**4 - 2/7*t**5.
-2*t**2*(t + 1)*(t + 2)**2/7
Let k(d) be the second derivative of d**8/1680 + d**7/840 - d**6/360 - d**5/120 - 11*d**3/6 + 4*d. Let u(h) be the second derivative of k(h). Factor u(x).
x*(x - 1)*(x + 1)**2
Let a(r) be the second derivative of 3*r**5/20 - r**4 - r**3/2 + 6*r**2 + 3*r + 40. Factor a(t).
3*(t - 4)*(t - 1)*(t + 1)
Let y(l) be the first derivative of 105*l**4/2 - 388*l**3/3 - 36*l**2 + 16*l - 318. Solve y(o) = 0.
-2/7, 2/15, 2
Let r(a) be the first derivative of -1/6*a**2 + 1/12*a**4 - 2/3*a - 17 + 2/9*a**3. Find j, given that r(j) = 0.
-2, -1, 1
Suppose 9*b + 25 = 14*b. Factor 5 - b*t**5 + 12*t**2 + 3*t**3 - 15*t**4 - 2*t**2 - 4*t**3 - 9*t**3 + 15*t.
-5*(t - 1)*(t + 1)**4
Let j(u) be the first derivative of -10 + 5*u**2 - 2/3*u**3 - 12*u. Find o, given that j(o) = 0.
2, 3
Let m = 14 - 10. Suppose l + m*l - 15 = 0, 4*l = c + 8. Factor -c*u**2 + 2*u**2 + u**2 + 1.
-(u - 1)*(u + 1)
Factor 2*h**2 - 49 + 132*h - 26*h - 55 - 4*h**2.
-2*(h - 52)*(h - 1)
Let t(l) be the first derivative of -2*l**4/7 + 2*l**3/7 + 7*l**2 + 24*l/7 - 122. Factor t(x).
-2*(x - 4)*(x + 3)*(4*x + 1)/7
Let c(j) = 13*j**2 + 70*j + 72. Let i(r) = -29*r**2 - 138*r - 144. Let g(l) = -7*c(l) - 3*i(l). Factor g(d).
-4*(d + 1)*(d + 18)
Factor 1/3*j**2 + 4/3 + 1/2*j**3 - 2*j - 1/6*j**4.
-(j - 2)**2*(j - 1)*(j + 2)/6
Suppose 7*f - 28*f = 0. Let g(o) be the second derivative of f + 5/3*o**3 - 1/2*o**4 - 2*o**2 + 1/15*o**6 + 3*o - 1/10*o**5. Let g(v) = 0. Calculate v.
-2, 1
Suppose -4*d - d + 15 = 0. Suppose 4*t**d - 4*t**5 - t**5 + t**3 + 4*t**2 + t**2 - 5*t**4 = 0. Calculate t.
-1, 0, 1
Let c be ((-11424)/54)/7*46/8. Let g = c + 174. Find q such that 4/9*q - g*q**2 - 2/9 = 0.
1
Let g(z) = -5*z - 9. Let q be g(-3). Suppose 5 - 5 - 9*k**2 + 3*k**3 - q*k**3 = 0. Calculate k.
-3, 0
Let 5/2*i**2 - 3/2*i - 1/2*i**3 - 1/2*i**4 + 0 = 0. Calculate i.
-3, 0, 1
Let g be ((-8)/(-70))/(11/(132/24)). Let h(o) be the first derivative of 0*o**3 - g*o**5 + 5 + 0*o + 0*o**2 - 1/14*o**4. Solve h(m) = 0 for m.
-1, 0
Let k(l) be the second derivative of 5*l**8/336 - l**7/21 + l**6/24 + 3*l**2/2 - 16*l. Let f(s) be the first derivative of k(s). Factor f(x).
5*x**3*(x - 1)**2
Let g(v) be the first derivative of -1/2*v**2 - 1/12*v**4 - 2/15*v**3 + 1/50*v**5 + 0*v - 8. Let j(q) be the second derivative of g(q). Factor j(w).
2*(w - 2)*(3*w + 1)/5
Let r be 2/((-77)/22*(-36)/21). Let 1/3*n**2 - 1/3*n**4 + 0*n - 1/3*n**3 + 0 + r*n**5 = 0. What is n?
-1, 0, 1
Let t(q) be the second derivative of 1/15*q**5 - 1/2*q**4 - 3*q + 0 + 6*q**2 + 4/3*q**3. Let w(n) be the first derivative of t(n). Factor w(a).
4*(a - 2)*(a - 1)
Let p = -52594/7 + 7514. Let l be (-24)/(-14)*(-6)/(-9). Factor -2/7*b**4 + 0 - p*b - l*b**3 - 10/7*b**2.
-2*b*(b + 1)**2*(b + 2)/7
Let k(q) be the second derivative of 10/3*q**2 + 38/9*q**3 + 2/45*q**6 - 2/63*q**7 + 14/15*q**5 - 15*q + 0 + 26/9*q**4. Factor k(s).
-4*(s - 5)*(s + 1)**4/3
Let p(u) be the second derivative of u**9/10080 + u**8/560 + u**7/105 + 5*u**4/6 + 7*u. Let k(x) be the third derivative of p(x). Factor k(w).
3*w**2*(w + 4)**2/2
Let y(s) = s**3 - 7*s - 3. Let p(w) = -w - 1. Let d(r) = 3*p(r) - y(r). Let d(l) = 0. What is l?
-2, 0, 2
Let u(c) = 5*c - 28. Let l be u(7). Let f be (((-252)/16)/l)/((-20)/16). Factor -2/5*g + 0 - f*g**2.
-g*(9*g + 2)/5
Suppose 9*f - 4*f = 3*t - 56, -3*f + 116 = 5*t. Suppose 6*o - t = 2. Find n such that 0 + 2*n**5 + 8/3*n**o + 2/3*n**3 + 0*n + 0*n**2 = 0.
-1, -1/3, 0
Let r = 68 + -67. Let n be (-65)/(-20) + (-3)/r. Solve -n + k - k**3 + 1/4*k**2 = 0.
-1, 1/4, 1
Let o = 90 - 