 + l**5/5 - 3*l + 2. Let s(p) be the first derivative of t(p). Solve s(v) = 0.
0, 1
Suppose 82*o = -26*o + 300 - 84. Factor -1/3*l**o + 1/3 + 0*l.
-(l - 1)*(l + 1)/3
Let j(y) be the second derivative of y**7/630 + y**6/90 + y**5/30 + y**4/3 - 6*y. Let v(f) be the third derivative of j(f). Find x such that v(x) = 0.
-1
Factor -2*p**4 - 2 + 0 + 2*p**3 - p**5 - 1103*p + 4*p**2 + 0*p**3 + 1102*p.
-(p - 1)**2*(p + 1)**2*(p + 2)
Suppose -11 = -j + 4*s, -2*j - s = -3*s - 4. Let w(q) = -4*q**2 - 4*q. Let y be w(j). Factor 3/7*i**2 + y + 0*i - 3/7*i**3.
-3*i**2*(i - 1)/7
Let d(b) be the second derivative of b**6/75 + 3*b**5/25 + b**4/6 - 4*b**3/5 - 2*b + 4. Factor d(y).
2*y*(y - 1)*(y + 3)*(y + 4)/5
Let n(r) be the third derivative of r**7/195 - 61*r**6/780 + 57*r**5/130 - 45*r**4/52 - 18*r**3/13 - 262*r**2 + 2. Find j, given that n(j) = 0.
-2/7, 3
Let k = 22147 - 332036/15. Let n(y) be the first derivative of 26/5*y**2 - 4/5*y - 3 - k*y**3. Let n(o) = 0. What is o?
2/13
Suppose -18 = -5*b - 3*z, -b + z = -z - 1. Let h be 3 + -1 - b*(-3 - -2). Let 0*a - 1/4*a**3 + 0*a**2 + 3/4*a**4 + 0 - 1/2*a**h = 0. What is a?
0, 1/2, 1
Find k, given that 65*k + 845/2 + 5/2*k**2 = 0.
-13
Let f = 23 + -17. Let c(i) = i**2 - 3*i - 3. Let b(q) = 12*q**2 - 32*q - 34. Let a(o) = f*b(o) - 68*c(o). Factor a(l).
4*l*(l + 3)
Solve -6/7*b**4 - 15*b**3 - 96/7 + 3/7*b**5 - 276/7*b - 276/7*b**2 = 0.
-2, -1, 8
Let g(d) = -3*d - 40. Let m be g(-15). Factor -955*v + 960*v - v**4 - 3*v**4 - v**m - 4*v**3 + 2 + 2*v**2.
-(v - 1)*(v + 1)**3*(v + 2)
Let y(l) = -8*l**2 - 7. Let n be y(-4). Let c = 138 + n. Let -s - s**2 - 1/3 - 1/3*s**c = 0. What is s?
-1
Let p = -1491 - -1495. Let q(c) be the second derivative of -5/6*c**3 - 5/12*c**p + 0 - 2*c + 0*c**2. Let q(x) = 0. Calculate x.
-1, 0
Let u(l) be the third derivative of -l**7/42 - l**6/24 + 13*l**5/6 - 5*l**4 + 371*l**2 - l. Suppose u(d) = 0. What is d?
-6, 0, 1, 4
Let a(h) be the first derivative of 42592*h**5/15 + 6292*h**4/3 - 1672*h**3 + 378*h**2 - 36*h + 791. Solve a(r) = 0.
-1, 3/22
Let w(u) be the first derivative of -u**4/84 + 2*u**3/21 - 2*u**2/7 - 8*u - 6. Let q(l) be the first derivative of w(l). Suppose q(p) = 0. What is p?
2
Let x = 231 + -231. Let v(c) be the first derivative of 1/30*c**4 - 1/45*c**6 + 0*c**2 + 6 + 0*c**5 + 0*c**3 + x*c. Suppose v(g) = 0. What is g?
-1, 0, 1
Let m(s) be the first derivative of s**5/20 + s**4/4 + s**3/2 + 5*s**2 + 4. Let p(x) be the second derivative of m(x). What is z in p(z) = 0?
-1
Let h(a) be the second derivative of a**5/50 - 2*a**4/5 - 3*a**3 - 298*a. Determine q, given that h(q) = 0.
-3, 0, 15
Let y be 12/3 - ((-264)/80 + 7). Let j(g) be the second derivative of 7*g + 0 + y*g**6 - 3/5*g**5 + 0*g**2 - 1/4*g**4 + g**3. Factor j(a).
3*a*(a - 1)**2*(3*a + 2)
Let f(r) be the second derivative of 0 + 1/15*r**6 - r**4 - 8/3*r**3 - 15*r - 3*r**2 + 0*r**5. Factor f(q).
2*(q - 3)*(q + 1)**3
Let w(l) be the first derivative of 98*l**5/65 - 511*l**4/26 - 1052*l**3/13 - 772*l**2/13 - 16*l - 118. Determine d so that w(d) = 0.
-2, -2/7, 13
Let c be (8/(-10))/(12/(-8070)). Let m = c - 3760/7. Solve 8/7*g**3 - 4/7*g**4 + 0 - 2/7*g + 4/7*g**2 - m*g**5 = 0 for g.
-1, 0, 1/3, 1
Factor -111/7*g - 96/7*g**2 - 30/7 - 15/7*g**3.
-3*(g + 1)*(g + 5)*(5*g + 2)/7
Let s be (-1)/(-3) - (8577/540 - 16). Let k(z) be the first derivative of -1/3*z**3 + 0*z**2 + 0*z - 1 - s*z**5 + 3/4*z**4. Solve k(n) = 0 for n.
0, 2/3
Let b be (3*(-6)/(-18))/((-4)/(-20)). Let s(u) be the third derivative of -1/44*u**4 + 4*u**2 + 1/66*u**b + 0 - 2/33*u**3 + 0*u. Factor s(a).
2*(a - 1)*(5*a + 2)/11
Let n(d) be the second derivative of d**5/90 + 17*d**4/54 + 16*d**3/27 + 74*d. Let n(u) = 0. What is u?
-16, -1, 0
Let h be 12 + 3 - 9/(-3). Let 5*m**3 + h - 5*m**2 - 20*m - 6 + 8 = 0. What is m?
-2, 1, 2
Let f be (-75)/(-5) + 4 - 17. Factor 0 - 8/5*y + 2/5*y**3 - 6/5*y**f.
2*y*(y - 4)*(y + 1)/5
Let f(p) be the second derivative of -2/3*p**3 + 14*p - 1/90*p**6 - 2/3*p**2 + 0 - 1/10*p**5 - 13/36*p**4. Find x, given that f(x) = 0.
-2, -1
Find r such that -4*r**4 + 0 - 10/3*r**3 + 24*r - 2/3*r**5 + 16*r**2 = 0.
-3, -2, 0, 2
Let p(j) be the second derivative of j**4/42 - 4*j**3 - 85*j**2/7 - 19*j + 4. Suppose p(m) = 0. Calculate m.
-1, 85
Solve 0 + 1/6*z**2 + 1/3*z - 1/3*z**3 - 1/6*z**4 = 0 for z.
-2, -1, 0, 1
Let m(b) = -b**2 - b - 7. Suppose -2*u + 23 = 3*a - 4*u, a = 3*u + 10. Let w(x) = -2*x**2 - x - 15. Let t(z) = a*m(z) - 3*w(z). Suppose t(s) = 0. What is s?
-2
Let v be (0/1 + 0)/(3/(-1)). Find b such that b + v*b**3 - b**3 - b**2 + b + 0*b**3 = 0.
-2, 0, 1
Let w be 4 + (-290)/260 + 1/(-1). Let v(b) be the first derivative of w*b**4 - 4/13*b**2 + 8/13*b - 98/39*b**3 - 2. What is f in v(f) = 0?
-2/7, 2/7, 1
Let s = 79/6 - 1577/120. Let f(j) be the second derivative of 0*j**2 + 0 - 1/24*j**4 + 1/60*j**6 - s*j**5 - 5*j + 1/12*j**3. Suppose f(i) = 0. What is i?
-1, 0, 1
Let z(p) be the first derivative of -2*p**3 + 0*p**2 + 0*p - 4 + 3/4*p**4. Factor z(k).
3*k**2*(k - 2)
Let i(z) be the third derivative of 0*z - 1/330*z**5 + 0 + 1/22*z**4 - 3/11*z**3 + 4*z**2. Determine h, given that i(h) = 0.
3
Let a(u) = 8*u**3 + 5*u**2 - 2*u + 1. Let p(k) = k**3 - k. Let t(q) = a(q) - 6*p(q). Find s such that t(s) = 0.
-1, -1/2
Determine y, given that 160*y - 143*y**3 + y**4 + 7*y**4 + 156*y**2 + 203*y**3 + 48 = 0.
-3, -2, -1/2
Let r = 1081 - 2161/2. Factor r*t**3 + 3/2*t**2 + t + 0.
t*(t + 1)*(t + 2)/2
Let p be -14*2/(-28)*2. Factor 3/5*a**p + 12/5*a + 12/5.
3*(a + 2)**2/5
Let s(h) be the second derivative of -h**6/1440 - h**5/240 - 5*h**3/2 + 6*h. Let c(v) be the second derivative of s(v). Factor c(n).
-n*(n + 2)/4
Let h(q) be the third derivative of q**7/630 + q**6/72 - q**5/180 - 17*q**4/72 + 2*q**3/3 - 220*q**2. Factor h(i).
(i - 1)**2*(i + 3)*(i + 4)/3
Let x(w) = 3*w**2 + 42*w + 92. Let j(h) = h**2 + 14*h + 31. Let g(y) = 7*j(y) - 2*x(y). Factor g(o).
(o + 3)*(o + 11)
Find q, given that 1/2*q - 1/2*q**3 - q**2 + 1 = 0.
-2, -1, 1
Let m be ((-6)/4)/((-19)/38). Factor f - 10*f**3 + 8*f**m + f + 2 - 2*f**2 + 0.
-2*(f - 1)*(f + 1)**2
Let d be 3 - 2 - (-10 + 3)/14. Factor 0*s**3 + 0*s + d*s**2 - 3/4*s**4 - 3/4.
-3*(s - 1)**2*(s + 1)**2/4
Let j(w) be the second derivative of w**5/10 - w**4/6 - w**3/6 - w**2 - 2*w. Let r be j(2). Solve -2*t - 8*t**2 - r*t + 5*t**2 = 0.
-2, 0
Let x be 1/42*48/(-9). Let u = 50/63 + x. Suppose 4/3*l**2 + 1/3*l**3 + 5/3*l + u = 0. Calculate l.
-2, -1
Let x(b) be the third derivative of b**11/66528 - b**10/30240 + b**5/15 + 19*b**2. Let h(v) be the third derivative of x(v). Factor h(t).
5*t**4*(t - 1)
Let a(n) be the first derivative of -n**5/90 + n**4/36 + 2*n**3/9 - 2*n**2 - 18. Let g(x) be the second derivative of a(x). Suppose g(w) = 0. Calculate w.
-1, 2
Let a(r) be the third derivative of r**7/35 + r**6/40 - 9*r**5/10 - 9*r**4/8 + 3*r**2 + 9. Factor a(p).
3*p*(p - 3)*(p + 3)*(2*p + 1)
Let l = 321 + -2565/8. Let n(c) be the first derivative of 7 - 1/4*c**3 - 1/4*c - l*c**2 - 1/16*c**4. Factor n(d).
-(d + 1)**3/4
Suppose -50*s + 164 = 14. Let t(p) be the first derivative of -3/11*p**2 + 2/33*p**s - 1 + 4/11*p. Suppose t(r) = 0. Calculate r.
1, 2
Let u(i) be the second derivative of i**8/2016 - i**7/420 + i**6/240 - i**5/360 + 3*i**2/2 - 9*i. Let q(z) be the first derivative of u(z). Factor q(f).
f**2*(f - 1)**3/6
Determine k, given that 34/9*k**4 + 16/9*k + 8/3*k**2 + 0 - 20/3*k**3 - 2/3*k**5 = 0.
-1/3, 0, 2
Let x = 1514 - 1510. Solve 1/4 - 3/2*a**2 - 5/2*a**3 + 21/4*a**x - 9/4*a**5 + 3/4*a = 0 for a.
-1/3, 1
Let t(y) = -2*y**2 - 18*y + 3. Let p be t(-9). Let k(m) be the second derivative of 0 + p*m + 0*m**2 + 1/4*m**4 - m**3. Factor k(d).
3*d*(d - 2)
Solve 370*w - 370*w**3 + 4317*w**2 - 5*w**4 - 11157*w**2 + 2110 + 2084 + 2651 = 0.
-37, -1, 1
Factor -98 + 2/3*k**3 + 14/3*k + 22/3*k**2.
2*(k - 3)*(k + 7)**2/3
Suppose 12 = m + 3*m. Suppose -m*w + w**2 + 2 + 4*w - 1 - 3*w = 0. What is w?
1
Suppose -5*o - 83 = a, -3*a = o + a + 9. Let k = o - -17. Let -1/4*y**2 + k - 1/4*y = 0. What is y?
-1, 0
Suppose -21 = -7*j - 0*j. Determine f, given that f**2 + 4*f**2 - 1 - j*f**2 - 3*f**2 + 2*f = 0.
1
Let x be (39/234)/(((-10)/(-5))/8). Factor -8/9*c - 2/9*c**2 - x.
-2*(c + 1)*(c + 3)/9
Let p(i) = 2*i - 7. Let w be p(3). Let x be w/