 h(d).
4*d*(d - 1)
Let v = -1/23 - -74/115. Solve -v*o**2 - 12/5 - 12/5*o = 0.
-2
Factor -590 - 8*o**2 + 28*o**5 - 64*o**4 + 44*o**3 + 590.
4*o**2*(o - 1)**2*(7*o - 2)
Suppose -4*q - 10 - 10 = 0. Let c(n) = -13*n**2 + 21*n - 13. Let f(z) = -6*z**2 + 10*z - 6. Let o(r) = q*f(r) + 2*c(r). Solve o(m) = 0.
1
Factor o - o**4 + 5/2*o**2 + 1/2*o**3 + 0.
-o*(o - 2)*(o + 1)*(2*o + 1)/2
Let p(c) be the first derivative of 0*c**3 + 1/16*c**4 - 2 + 0*c - 1/8*c**2. Factor p(b).
b*(b - 1)*(b + 1)/4
Let v(a) be the first derivative of -1/3*a**2 - 4/9*a**4 - 7/60*a**5 - 2*a - 11/18*a**3 + 3. Let q(l) be the first derivative of v(l). What is w in q(w) = 0?
-1, -2/7
Let r = 50/3 - 16. Factor 2/3*d**2 - 4/3 - r*d.
2*(d - 2)*(d + 1)/3
Factor 24*m**2 + 5*m**3 + 42*m + 0*m**3 + 20 - 3*m**3.
2*(m + 1)**2*(m + 10)
Factor 4*r**3 + 174*r + 2*r**5 + 4*r**3 - 174*r - 8*r**4.
2*r**3*(r - 2)**2
Suppose -4 - 4 - 2*c**2 - 2 + 2 + 10*c = 0. Calculate c.
1, 4
Let v(i) = i**3 + 43*i**2 + 225*i + 373. Let a(h) = 15*h**3 + 687*h**2 + 3600*h + 5967. Let r(t) = -2*a(t) + 33*v(t). Factor r(c).
3*(c + 5)**3
Suppose 0 = 23*c - 21*c. Factor -2/9*g**2 + 0 + c*g.
-2*g**2/9
Let m(a) be the second derivative of -a**6/45 - a**5/15 - a**4/18 + 3*a. Solve m(j) = 0.
-1, 0
Let p be (9/6)/((-6)/32). Let t be ((-3)/(-14))/((-6)/p). Factor 2/7*q**2 + t*q**3 + 0*q + 0.
2*q**2*(q + 1)/7
Let h(q) be the third derivative of q**7/1050 - q**6/600 - q**5/100 + q**4/120 + q**3/15 + 12*q**2. Let h(v) = 0. Calculate v.
-1, 1, 2
Let s(c) be the first derivative of 10*c**3/3 - 12*c**2 + 8*c - 10. What is z in s(z) = 0?
2/5, 2
Let c(j) be the first derivative of -j**4/2 + 4*j**3/3 + 6. Factor c(i).
-2*i**2*(i - 2)
Let s(c) be the second derivative of c**7/189 - c**5/30 + c**4/27 - 2*c. Find f, given that s(f) = 0.
-2, 0, 1
Let z be -2*1/(-5)*-5. Let l = z + 5. Solve -12/7*j**l - 8/7*j**2 - 2/7*j - 2/7*j**5 + 0 - 8/7*j**4 = 0 for j.
-1, 0
Let m(j) be the first derivative of j**3/12 + j**2/8 - j/2 - 4. Determine d so that m(d) = 0.
-2, 1
Let w = -1021/3 - -217597/639. Let b = w - -2/71. Solve 2/9*u**2 + 0 + b*u**3 + 0*u = 0 for u.
-1, 0
Factor 1/2 + 1/4*b**2 + 3/4*b.
(b + 1)*(b + 2)/4
Suppose 11*n + 4 - 4 = 0. Suppose n + 2/5*y**2 + 2/5*y = 0. What is y?
-1, 0
Let t(s) = -33*s**3 - 3*s**2 + 9*s. Suppose -4*l + 63 = -l. Let x(b) = -8*b**3 - b**2 + 2*b. Let n(g) = l*x(g) - 5*t(g). Solve n(y) = 0 for y.
-1, 0
Let j(g) be the third derivative of -g**8/16 + 5*g**7/28 + g**6/80 - 23*g**5/40 + 13*g**4/16 - g**3/2 + 58*g**2. Solve j(m) = 0 for m.
-1, 2/7, 1/2, 1
Let d(r) be the first derivative of -3*r**5/25 + 9*r**4/20 - r**3/5 - 9*r**2/10 + 6*r/5 + 9. Suppose d(n) = 0. What is n?
-1, 1, 2
Factor 5/3*v**4 + 46*v**2 - 128/3*v - 47/3*v**3 + 32/3.
(v - 4)**2*(v - 1)*(5*v - 2)/3
Factor 0 - 1/2*t + 1/6*t**2.
t*(t - 3)/6
Let t(i) = -3*i**5 - 7*i**4 - 7*i**3 - 3*i**2 + 2. Let u(m) = -9*m**5 - 20*m**4 - 20*m**3 - 9*m**2 + 7. Let c(x) = 7*t(x) - 2*u(x). Solve c(y) = 0.
-1, 0
Let k(g) be the second derivative of -1/3*g**2 - 2/3*g**3 - 1/2*g**4 - 3*g - 2/15*g**5 + 0. Find z, given that k(z) = 0.
-1, -1/4
Let y be 8/45 + 28/126. Factor 18/5*a**2 - 12/5*a + y - 8/5*a**3.
-2*(a - 1)**2*(4*a - 1)/5
Let m = -1 + 4. Solve -15*r**2 + 2*r**4 + r**4 + 14*r**3 - 2*r**m + 6*r - 3*r**3 - 3*r**5 = 0 for r.
-2, 0, 1
Suppose 14 = 4*z + 6. Let q = -38 + 229/6. Factor 0*f**3 - 1/6 + 0*f + 1/3*f**z - q*f**4.
-(f - 1)**2*(f + 1)**2/6
Let f(q) = q**2 + 16*q + 17. Let s be f(-15). Suppose -2/5*n**s + 2/5*n + 4/5 = 0. What is n?
-1, 2
Let n(u) be the second derivative of 0*u**2 + 1/3*u**4 + 4*u - 8/3*u**3 + 0. Factor n(m).
4*m*(m - 4)
Let k(l) = l**2 + 3*l - 1. Let o be k(-4). Let t be 1 + -2 - (-6)/4. Determine z, given that 1/2*z**2 + 0 + 0*z + t*z**o = 0.
-1, 0
Let x(n) = n**5 - n**4 + 1. Let w(k) = 5*k**5 - 8*k**4 + 2*k**2 + k + 6. Let i(h) = -w(h) + 6*x(h). Determine t so that i(t) = 0.
-1, 0, 1
Suppose 3*c = -4*g - 14, 1 = 4*g - 3*c + 3. Let n = -2 - g. Factor -3*h + 5*h + n*h + 2*h**2.
2*h*(h + 1)
Let k be 9/(-6) + 10/4. Let o be (5 - (-3)/(-3))/k. Factor 2*t**4 - 1 - o*t**4 + 2*t**2 + t**4.
-(t - 1)**2*(t + 1)**2
Let y(q) be the third derivative of q**6/720 - q**4/48 - q**3/3 - 6*q**2. Let t(a) be the first derivative of y(a). Let t(h) = 0. What is h?
-1, 1
Factor 1/2 - 1/4*x - 3/4*x**2.
-(x + 1)*(3*x - 2)/4
Determine n, given that -17*n**3 + 3*n**5 + 20*n**3 - 3*n**4 + 0*n**4 - 3*n**4 = 0.
0, 1
Let y = 114 + -112. Let -2/7 + 2/7*p**y + 0*p = 0. What is p?
-1, 1
Let w(q) be the third derivative of 0*q**3 + 0 + 1/45*q**5 + 8*q**2 + 0*q + 0*q**4 - 1/180*q**6. Let w(l) = 0. Calculate l.
0, 2
Let c(b) be the third derivative of b**8/560 - 3*b**7/350 + 29*b**2. Factor c(m).
3*m**4*(m - 3)/5
Suppose 3*h = -0*h - 3*w, 2*h + w - 2 = 0. Let 4*z**h - 3*z**3 - 13*z**2 + 2*z - 2*z = 0. What is z?
-3, 0
Let j(u) be the first derivative of -3 - 1/12*u**3 + 1/16*u**4 + 1/4*u - 1/8*u**2. Solve j(k) = 0.
-1, 1
Find n, given that -20*n**2 + 4*n**4 + 26*n**3 + 0*n**5 - 8*n + 37*n**3 + 4*n**5 - 75*n**3 = 0.
-1, 0, 2
Factor -4*m + m + 8*m**2 + 6 - 11*m**2.
-3*(m - 1)*(m + 2)
Let g(w) be the second derivative of 0*w**2 + 1/66*w**4 + 0*w**3 - 1/231*w**7 + 1/110*w**5 + 0 - 1/165*w**6 + w. Suppose g(k) = 0. Calculate k.
-1, 0, 1
Suppose 0 = 3*w - j - 50, -6*j = 5*w - 4*j - 87. Let h = w - 14. Factor 0*l + l**4 - 1/2*l**5 + 0*l**2 + 0 - 1/2*l**h.
-l**3*(l - 1)**2/2
Find x such that 0*x - 6/7*x**2 - 3/7*x**3 + 0 = 0.
-2, 0
Let a(c) be the second derivative of 5*c - 2/15*c**6 + 0*c**2 + 1/6*c**3 - 1/3*c**4 + 0 + 3/10*c**5 + 1/42*c**7. Factor a(b).
b*(b - 1)**4
Let d(p) = p**4 + p. Let k(z) = -z**4 + z**3 - z**2 - 3*z. Let h(l) = 6*d(l) + 3*k(l). Solve h(a) = 0 for a.
-1, 0, 1
Suppose 5*p + 300 = -3*d + 93, d = 5*p + 191. Let a be (p/(-26))/(2/4). Let -27/5*q**2 + 3/5*q**a - 81/5 + 81/5*q = 0. What is q?
3
Let a(w) = w**2 + 2*w. Let h be a(-3). Let f(j) be the first derivative of -j**2 + 0*j - j**4 + 3 - 5/3*j**h - 1/5*j**5. Suppose f(u) = 0. What is u?
-2, -1, 0
Let x = -2331/5 + 470. Let u = x + -33/10. What is g in -u*g - 1/2*g**2 + 0 = 0?
-1, 0
Let s(a) be the first derivative of -1 - 2*a + 3/2*a**4 - 3*a**2 + 2/3*a**3. Factor s(c).
2*(c - 1)*(c + 1)*(3*c + 1)
Suppose 0 = -2*m - 0*w + 2*w, 5*m - 4 = 3*w. Solve s**2 + s + s - m*s**3 - s**4 + s**2 - s**4 = 0 for s.
-1, 0, 1
Let f(g) be the second derivative of -g**5/40 - 3*g**4/8 - 5*g**3/4 + 25*g**2/4 + 13*g. Find h such that f(h) = 0.
-5, 1
Suppose 5*i - 24 - 6 = 0. Let h(c) = -c**3 - 3*c**2 - 6*c - 4. Let l(n) = n**3 + 2*n**2 + 5*n + 4. Let g(x) = i*l(x) + 5*h(x). Determine k so that g(k) = 0.
-1, 2
Suppose -8 = -2*n + 2. Suppose 0*j**3 + 2/5*j**4 - 1/5*j - 2/5*j**2 + 0 + 1/5*j**n = 0. Calculate j.
-1, 0, 1
Let z = 2 - 0. Suppose 17*h**3 + h**z - 8*h**3 - 8*h**3 = 0. Calculate h.
-1, 0
Let h = -113 + 116. Solve 2/5*r**h + 4/5*r**2 + 0 + 0*r = 0 for r.
-2, 0
Let s(c) = -c**2 - 17*c - 22. Let j be s(-15). Let v be j/36 + 57/108. Find z such that -v*z**3 + 0*z + 0 + 3/2*z**2 = 0.
0, 2
Solve 0*c**2 - 9*c**3 - c**2 - c**5 + 4*c**5 + 7*c**2 = 0 for c.
-2, 0, 1
Let o(w) = w - 1. Let f be o(5). Suppose f*v = -v + 20. Factor 0 + 0*n**3 - 1/2*n**5 - n**v + n**2 + 1/2*n.
-n*(n - 1)*(n + 1)**3/2
Factor -1/6*s**2 - 7/3*s + 5/2.
-(s - 1)*(s + 15)/6
Determine k so that -3*k**3 - 8*k**5 + 5*k**5 + 0*k**5 - 6*k**4 = 0.
-1, 0
Suppose 0*g = -5*g. Suppose g = -2*f - 3*f. Factor f*i - 2/7*i**3 + 0 + 2/7*i**2.
-2*i**2*(i - 1)/7
Let w(l) be the second derivative of l**6/360 - l**5/120 + l**3/3 - l. Let y(c) be the second derivative of w(c). Factor y(q).
q*(q - 1)
Let j(d) = -12*d**3 + 39*d. Let u(k) = -k**3 + 3*k. Let w(o) = 2*j(o) - 27*u(o). Find r, given that w(r) = 0.
-1, 0, 1
Let g(n) be the second derivative of n**7/21 - 3*n**5/10 + n**4/3 + 4*n - 7. Find r, given that g(r) = 0.
-2, 0, 1
Let p(d) be the first derivative of -d**7/560 + d**6/120 + d**5/80 - d**4/8 - 2*d**3/3 + 6. Let m(n) be the third derivative of p(n). Find b such that m(b) = 0.
-1, 1, 2
Suppose -9*l = -2*l. Let o(q) be the first derivative of q**2 - 4/3*q**3 + l*q + 3. Find f such that o(f) = 0.
0, 1/2
Suppose 2*r = -0*r + 8. Let j(c) = 3*c - 3. Let a be j(r). Find m, given that -11*m**2 + 54*m**4 + 6*m - 5*m**2 + 27*m**5 - a*m**3 - 2*m = 0.
-2, -2/3, 0, 1/3
Let