r m(r).
-r**2
Let c = -1/20 + 23/60. Let j(m) be the first derivative of c*m**3 + 2 + 0*m - 1/2*m**2. What is q in j(q) = 0?
0, 1
Let -70*p + 55*p**2 + 6*p**5 + 110*p - 65*p**4 + 35*p**3 + 14*p**5 - 95*p + 10 = 0. What is p?
-1, 1/4, 1, 2
Let m be 9*((-32)/6 - -4)/(-14). Factor -2/7 - 2/7*q**3 - m*q**2 - 6/7*q.
-2*(q + 1)**3/7
Let h = 166/5 - 33. Let y(m) be the second derivative of h*m**5 + 0*m**3 - 2*m + 1/9*m**4 + 1/10*m**6 + 0 + 0*m**2. Solve y(c) = 0.
-2/3, 0
Solve -15*h**3 - 8*h - 24*h**2 - 4*h + 243*h**4 - 246*h**4 = 0 for h.
-2, -1, 0
Let t(h) be the third derivative of -h**8/20160 + h**7/3780 - h**6/2160 + h**4/24 - h**2. Let f(w) be the second derivative of t(w). Let f(x) = 0. Calculate x.
0, 1
Let a(k) = k + 5. Let g = 1 + -4. Let i be a(g). Solve 4/7*v**i + 2/7 + 6/7*v = 0.
-1, -1/2
Let s be 5/1*(-9)/(-15). Factor -3*h**2 + 15*h**s + 6*h**2 + 25 - 24*h - 13 - 2*h**5 - h**5 - 3*h**4.
-3*(h - 1)**3*(h + 2)**2
Let b(y) be the third derivative of -y**6/40 + y**5/4 - 7*y**4/8 + 3*y**3/2 - 13*y**2. What is r in b(r) = 0?
1, 3
Solve -t + 4*t**2 + 3*t + 6*t = 0.
-2, 0
Suppose v = -0*v + 3. Let f(t) be the first derivative of 1/5*t + 1/15*t**v - 3 - 1/5*t**2. Determine x so that f(x) = 0.
1
Suppose -3*g + 7 + 11 = 0. Let p = -3 + g. Let -j - 2*j**3 + 6*j - p*j = 0. Calculate j.
-1, 0, 1
Let s be ((-11)/(-6) - 12/24)/1. Determine q, given that 0 + 0*q + s*q**3 + 2/3*q**4 + 2/3*q**2 = 0.
-1, 0
Let l = 1223/495 - 7/99. Find w such that 18/5 + l*w + 2/5*w**2 = 0.
-3
Let w(t) be the second derivative of t**7/2940 + t**6/1260 - t**5/210 - 5*t**3/6 + 4*t. Let s(j) be the second derivative of w(j). Determine f so that s(f) = 0.
-2, 0, 1
Let w(x) = x**4 - 3*x**3 + 6*x**2 + 4*x + 4. Let t(g) = -g**2 - g - 1. Let d(r) = 4*t(r) + w(r). Factor d(a).
a**2*(a - 2)*(a - 1)
Let g be 10*(-2)/(-4) - 1. Determine f so that -2 - 3*f**2 - 3 + 6*f - g + 6 = 0.
1
Let u(t) = -t**3 - t. Let b(o) = o. Let p(s) = 2*b(s) + u(s). Determine f so that p(f) = 0.
-1, 0, 1
Let p(n) be the first derivative of 1/4*n - 1/16*n**4 + 4 - 1/12*n**3 + 1/8*n**2. Factor p(o).
-(o - 1)*(o + 1)**2/4
Suppose -4*b + 19 - 3 = 0. Factor -4*p**3 - 1 + 1 - p**4 - p**b.
-2*p**3*(p + 2)
Let h(z) be the first derivative of z**6/42 - z**4/7 + 2*z**3/21 + 3*z**2/14 - 2*z/7 + 9. Solve h(o) = 0 for o.
-2, -1, 1
Let u be (-7)/(-462) - 2/(-12). Suppose 0*f**2 - u*f + 2/11*f**3 + 0 = 0. Calculate f.
-1, 0, 1
Let o(a) be the second derivative of -a**9/4536 + a**7/630 - a**5/180 - a**3/6 + 5*a. Let r(u) be the second derivative of o(u). What is g in r(g) = 0?
-1, 0, 1
Let t(n) be the first derivative of 0*n**3 + 1 + 1/2*n + 1/2*n**2 - 1/4*n**4 - 1/10*n**5. Solve t(l) = 0 for l.
-1, 1
Let m(v) = 4*v**4 + 2*v**3 - 10*v**2 + 2*v - 2. Let o(k) = k**5 + 3*k**4 + 3*k**3 - 11*k**2 + 3*k - 3. Let t(d) = 3*m(d) - 2*o(d). Factor t(h).
-2*h**2*(h - 2)**2*(h + 1)
Factor 1/7*p**4 + 8/7*p**2 + p**3 + 0 - 16/7*p.
p*(p - 1)*(p + 4)**2/7
Let p = 136/65 - 22/13. Determine o, given that 0 - p*o - 2/5*o**2 + 2/5*o**3 + 2/5*o**4 = 0.
-1, 0, 1
Let p = 4/27 - 13/90. Let s(t) be the third derivative of 0*t**4 + 3*t**2 + 0 - p*t**5 - 1/945*t**7 + 1/270*t**6 + 0*t**3 + 0*t. Solve s(q) = 0.
0, 1
Let k(q) = 2*q**2 - 13*q + 5. Let h(f) = -7*f**2 + 38*f - 15. Let x(l) = -3*h(l) - 8*k(l). Let x(g) = 0. Calculate g.
1
Suppose 7 - 3 = 4*h. Suppose -3*b + 7 - h = 0. Let -2/3*f + 0 - 1/3*f**3 + f**b = 0. Calculate f.
0, 1, 2
Let 2/7*i**5 + 8/7*i**2 + 2/7*i + 8/7*i**4 + 12/7*i**3 + 0 = 0. Calculate i.
-1, 0
Let c(p) = p**3 + 7*p**2 + 5*p + 2. Suppose 8*s - 4*s - 2*j = -20, -5*s + 4*j = 22. Let d be c(s). Factor -3*q - 3*q - d*q**2 - 6*q**3 - 2 + 4*q**3 + 2*q**2.
-2*(q + 1)**3
Factor 10*r - 4*r**2 - r**2 - 16 + 11.
-5*(r - 1)**2
Suppose -3*t + 6*t = 6. Let h(o) = o**2 - 2. Let p be h(2). Determine d, given that 2*d**t + p*d**3 + 0*d**3 + 0*d**3 = 0.
-1, 0
Let l = 214 + -138. Let x = -377/5 + l. Factor -x*k**4 + 0 + 1/5*k**3 + 3/5*k**2 - 2/5*k + 1/5*k**5.
k*(k - 2)*(k - 1)**2*(k + 1)/5
Let a(o) be the first derivative of 4*o**3/9 + 20*o**2/3 + 100*o/3 + 17. Factor a(m).
4*(m + 5)**2/3
Suppose -4*v + 4 = -8. Let m = 67/5 - 13. Let -4/5*d**v + 4/5*d**2 - 2/5 - 2/5*d**4 + m*d + 2/5*d**5 = 0. Calculate d.
-1, 1
Let u(d) be the first derivative of 1/6*d**4 + 4 + 2/5*d**5 + 0*d**2 - 14/9*d**3 - 1/9*d**6 + 8/3*d. Find f such that u(f) = 0.
-1, 1, 2
Let z(i) be the second derivative of i**4/8 - 2*i**3 + 12*i**2 - 6*i. Factor z(s).
3*(s - 4)**2/2
Let p(i) = -5*i**3 - 42*i**2 - 117*i - 77. Let a(k) = 10*k**3 + 85*k**2 + 235*k + 155. Let w(s) = -3*a(s) - 5*p(s). Suppose w(n) = 0. What is n?
-4, -1
Let p = -103/4 + 26. Let l(q) be the second derivative of 1/12*q**3 + p*q**2 - 1/24*q**4 - q + 0 - 1/40*q**5. Factor l(c).
-(c - 1)*(c + 1)**2/2
Let j = 4 + 0. Let y(b) = b**3 + 7*b**2 - b - 4. Let v be y(-7). Factor 13*q**3 - 12*q**2 - 5*q - 3*q**j - v*q**4 + 4*q + q**5 + 5*q.
q*(q - 2)**2*(q - 1)**2
Factor 12/5*i + 2 + 2/5*i**2.
2*(i + 1)*(i + 5)/5
Let b(a) be the second derivative of -1/60*a**5 - 3*a + 0 + 0*a**2 + 1/36*a**4 + 0*a**3. Find d such that b(d) = 0.
0, 1
Let f(x) be the second derivative of 1/6*x**3 - 6*x + 1/12*x**4 + 0 - x**2. Factor f(p).
(p - 1)*(p + 2)
Let x be (2/(-1))/(6/(-9)). Suppose x*z - z = 0. Suppose z - 2/7*c**2 - 2/7*c = 0. Calculate c.
-1, 0
Factor -2/3*n + 2/3*n**3 - 4/3 + 4/3*n**2.
2*(n - 1)*(n + 1)*(n + 2)/3
Suppose -3*g - 2*z - 4 = -0, 4*g + 10 = -5*z. Suppose g = t - 2 - 2. Suppose 2*a**4 - 3 - 2*a**4 + 6*a**2 - 3*a**t = 0. Calculate a.
-1, 1
Let c(z) = 2*z + 10. Let l be c(-4). Let n(j) be the second derivative of 2*j - 1/3*j**l - 1/12*j**4 + 0 - 7/18*j**3. Factor n(q).
-(q + 2)*(3*q + 1)/3
Let b(p) be the third derivative of p**7/665 - p**6/228 + p**5/285 - 10*p**2. Determine a so that b(a) = 0.
0, 2/3, 1
Let y(n) be the second derivative of 0 + 1/20*n**5 + 1/2*n**4 - 4*n + 2*n**3 + 4*n**2. Factor y(b).
(b + 2)**3
Let h(k) be the first derivative of 5*k**3/3 - 10*k**2 + 15*k - 14. Factor h(p).
5*(p - 3)*(p - 1)
Let q(v) be the first derivative of v**6/30 - 2*v**5/25 - v**4/10 + 4*v**3/15 + v**2/10 - 2*v/5 + 28. Suppose q(z) = 0. Calculate z.
-1, 1, 2
Let z(p) be the third derivative of -p**5/20 - p**4/2 - 2*p**3 - 9*p**2. Factor z(c).
-3*(c + 2)**2
Let p(o) = -2*o - 1. Let k be p(-3). Suppose 2 = -k*v + 6*v. Factor -3*i**3 + i**3 + 2*i**2 - i**v - 3*i**2.
-2*i**2*(i + 1)
Let z(f) be the first derivative of -f**5/35 - 3*f**4/28 - f**3/7 - f**2/14 - 8. Factor z(y).
-y*(y + 1)**3/7
Determine i so that 0*i**3 + 3/5*i**5 + 0*i**2 + 0 + 0*i + 6/5*i**4 = 0.
-2, 0
Determine k, given that 3/5*k - 9/5 + k**2 + 1/5*k**3 = 0.
-3, 1
Let k(p) be the third derivative of 1/8*p**4 + 0*p**3 + 0*p + 1/5*p**5 + 0 + 1/112*p**8 + 2/35*p**7 + 5*p**2 + 3/20*p**6. Solve k(y) = 0 for y.
-1, 0
Let l(f) = -2*f - 9. Let v be l(-6). Solve -3*r + v*r - 2*r + 2*r**3 = 0.
-1, 0, 1
Let -4/5*u**4 + 4/5*u**2 + 0*u + 0 - 4/5*u**3 + 4/5*u**5 = 0. Calculate u.
-1, 0, 1
Let y = 0 - 0. Suppose 2*o = -3*w - y + 6, w - 2*o = 2. Factor 0 - 2/5*q**w + 2/5*q + 2/5*q**4 - 2/5*q**3.
2*q*(q - 1)**2*(q + 1)/5
Let w(i) be the first derivative of 2*i**5/5 - i**4 - 2*i**3/3 + 2*i**2 - 75. Factor w(s).
2*s*(s - 2)*(s - 1)*(s + 1)
Suppose 0*v = 9*v + 2*v. Find p such that 3/5*p**5 + 27/5*p**3 + 3*p**4 + v + 6/5*p + 21/5*p**2 = 0.
-2, -1, 0
Let r(g) be the second derivative of -1/6*g**7 + 3*g + 1/5*g**5 - g**2 + 1/2*g**3 - 2/5*g**6 + 7/6*g**4 + 0. Factor r(f).
-(f - 1)*(f + 1)**3*(7*f - 2)
Let n(d) be the third derivative of 0*d**3 + 0 + 1/480*d**6 + 1/120*d**5 - 2*d**2 + 0*d + 1/96*d**4. Factor n(z).
z*(z + 1)**2/4
Let n(x) = -x**2 - 11*x - 24. Let w be n(-7). Let m be w/(-3) - (-145)/75. Find k such that 57/5*k**4 + m*k**2 + 21/5*k**5 + 0 + 9*k**3 - 6/5*k = 0.
-1, 0, 2/7
Suppose -10*u = -9*u - 80. Solve 55*i - 83*i - u*i - 729*i**3 + 517*i**2 + 8 - 31*i**2 = 0.
2/9
Let u = 19 + -17. Factor 7*z - 2 - 2*z**3 + 0 - 5*z + 2*z**u.
-2*(z - 1)**2*(z + 1)
Factor 2/3*x - 1/3 - 1/3*x**2.
-(x - 1)**2/3
Let u(t) be the first derivative of -t + 0*t**2 - 1/24*t**3 + 1/24*t**4 - 1 - 1/80*t**5. Let f(r) be the first derivative of u(r). Let f(j) = 0. What is j?
0, 1
Let x(l) be the second derivative of -l**5/80 + l**4/16 - l**3/8 + l**2/8 + l. Let x(o) = 0. Calculate o.
1
Let i = -8630/