 + 0*h + 0 + 1/5*h**3 = 0. What is h?
-2, 0
Suppose 0 = 27*b + 19 - 73. Let m be -2 - 26/(-8) - 1. Factor 0 - m*w**b + 0*w - 1/4*w**3.
-w**2*(w + 1)/4
Let h(j) be the third derivative of j**7/840 - j**6/480 + 7*j**2. Factor h(p).
p**3*(p - 1)/4
Let c(t) be the first derivative of t**5/60 + t**4/12 + t**3/9 + t - 5. Let w(h) be the first derivative of c(h). Let w(u) = 0. What is u?
-2, -1, 0
Let d(a) be the first derivative of 0*a + 2 + a**2 + 2/3*a**3. Factor d(m).
2*m*(m + 1)
Factor 2/3*a**4 - 4/3*a**2 + 8/3*a**3 + 6 - 8*a.
2*(a - 1)**2*(a + 3)**2/3
Let i(k) = 5*k**2 + 7*k. Let t(b) = -3*b**2 - 4*b. Let z(p) = -4*i(p) - 7*t(p). Factor z(j).
j**2
Let d(g) be the first derivative of -g**4/22 + 4*g**3/11 - 12*g**2/11 + 16*g/11 - 4. Find z, given that d(z) = 0.
2
Suppose b = -0 + 4. Let a be b/30 - (-2)/10. Factor -a*j**2 + 0 + 2/3*j - j**3.
-j*(j + 1)*(3*j - 2)/3
Let o = 5 + -9/2. Suppose -9*f + 14*f - 10 = 0. Suppose o*j + 0 + 1/2*j**f = 0. What is j?
-1, 0
Let c(z) be the third derivative of z**8/40320 + z**7/10080 - z**5/12 + 7*z**2. Let i(m) be the third derivative of c(m). Solve i(t) = 0.
-1, 0
Let m(u) be the first derivative of -1/18*u**3 + 2*u + 1/36*u**4 - 2 + 0*u**2. Let k(y) be the first derivative of m(y). Determine v so that k(v) = 0.
0, 1
Let j(p) be the second derivative of -2*p + 7/6*p**4 - 5/3*p**3 - 2*p**2 + 0. Determine k, given that j(k) = 0.
-2/7, 1
Let k(p) be the third derivative of p**6/240 - p**5/120 - 2*p**2. Factor k(a).
a**2*(a - 1)/2
Let t(u) be the second derivative of u**7/420 - u**6/30 + 2*u**5/25 + u**4/60 - 17*u**3/60 + 2*u**2/5 + 20*u. Factor t(v).
(v - 8)*(v - 1)**3*(v + 1)/10
Let h(i) be the second derivative of 2*i**7/21 + 2*i**6/15 - i**5/5 - i**4/3 + 10*i. Let h(d) = 0. What is d?
-1, 0, 1
Let w(p) be the second derivative of p**6/20 + 27*p**5/40 + 29*p**4/8 + 39*p**3/4 + 27*p**2/2 + 14*p. Find a, given that w(a) = 0.
-3, -2, -1
Let c(m) be the third derivative of 0*m**3 + 0*m + 0*m**5 + 0*m**4 - m**2 + 0 - 1/120*m**6. What is t in c(t) = 0?
0
Let o(n) = -n**2 - 8*n - 6. Let v be o(-6). Find g, given that v*g**4 - 1 - 5*g + 2*g**3 + g**5 - 3*g**4 - 2*g**2 + 0*g + 2*g = 0.
-1, 1
Let w(m) be the first derivative of 2 + 0*m**2 - 1/36*m**6 - 2/15*m**5 + 0*m - 1/6*m**4 + 0*m**3. Solve w(q) = 0 for q.
-2, 0
Let h(y) be the second derivative of -y**5/20 + 7*y**4/36 - 5*y**3/18 + y**2/6 + y. Suppose h(j) = 0. Calculate j.
1/3, 1
Factor 4*y - 3*y - 4*y**2 + 3*y**2.
-y*(y - 1)
Let i(f) = -8*f**3 + f**2 - 2*f - 6. Let c(d) = 39*d**3 - 6*d**2 + 9*d + 30. Let v(h) = 5*c(h) + 24*i(h). Find w, given that v(w) = 0.
-1, 1, 2
Let u = 27 + -18. Suppose v - u = -4. Determine k, given that 0*k**4 - k**4 - 3*k**2 - k**4 + v*k**4 = 0.
-1, 0, 1
Let y(f) be the first derivative of -5*f**5 + 120*f**4 - 2104*f**3/3 - 960*f**2 - 400*f + 10. Solve y(j) = 0 for j.
-2/5, 10
Suppose 0*j - 12 = -5*b + 2*j, 5*j + 13 = 4*b. Let r(c) be the first derivative of b + 3/5*c**2 + 9/5*c + 1/15*c**3. Suppose r(y) = 0. What is y?
-3
What is i in i**4 + 5*i**4 + 0*i**4 - 10*i**3 + 22*i**3 - 20*i**5 + 2*i**2 = 0?
-1/2, -1/5, 0, 1
Let o(s) be the first derivative of 2/3*s**3 - 2*s + 4 + 0*s**2. Factor o(d).
2*(d - 1)*(d + 1)
Let j(l) be the third derivative of -1/20*l**6 - 3/20*l**5 - 1/4*l**4 + 0*l + 0 - 1/4*l**3 - 1/140*l**7 - l**2. Factor j(f).
-3*(f + 1)**4/2
Factor -1029*s**4 + 1512*s**2 - 355*s**3 - 165*s**3 - 656*s**3 + 48 - 480*s.
-3*(s + 2)*(7*s - 2)**3
Let f = -22 + 25. Solve -f*j**2 + 5*j - 14*j - 3 - 3 = 0 for j.
-2, -1
Let l(o) be the first derivative of -4*o - o**2 - 1/12*o**3 + 5. Factor l(i).
-(i + 4)**2/4
Let 6/5 + 12/5*a**3 - 4/5*a**2 - 2*a - 2/5*a**4 - 2/5*a**5 = 0. What is a?
-3, -1, 1
Let u(m) = m**3 - 18*m**2 + 17*m. Let v be u(17). Factor v + 3/4*z + 3/2*z**2.
3*z*(2*z + 1)/4
Suppose -127*r + 130*r = 0. Factor -3/2*n + 0*n**3 + 3/4*n**4 - 9/4*n**2 + r.
3*n*(n - 2)*(n + 1)**2/4
Let h = 3 - 1. Suppose k = -k + 2*g + 10, -8 = -k - 2*g. Find x such that 4*x**2 - 4*x + 3*x + 3*x - k*x**h = 0.
0, 1
Let q(x) = 5*x**2 + 9*x + 4. Let p(j) = -4*j**2 - 8*j - 4. Let v(d) = -4*p(d) - 3*q(d). Let k be v(-4). Find m such that -1 - 2*m**4 + 2*m**2 + 1 + k = 0.
-1, 0, 1
Let w(t) be the second derivative of -t**6/120 + t**5/60 + t**4/24 - t**3/6 + t**2 + 3*t. Let d(k) be the first derivative of w(k). Suppose d(s) = 0. What is s?
-1, 1
Let p = -16 + 18. Solve -3*j - j + 2*j + p*j**3 = 0 for j.
-1, 0, 1
Let u = -5/438 - 3697/146. Let y = u - -26. Factor 0 + 0*z + 0*z**2 + 0*z**4 - y*z**5 + 0*z**3.
-2*z**5/3
Let j(r) = -r**2 + r + 1. Let g(s) = 6*s**2 - 12*s + 2 + 18*s**2 - 22. Let k(y) = g(y) + 20*j(y). Let k(c) = 0. What is c?
-2, 0
Let c(j) be the first derivative of j**4/22 - 3*j**2/11 + 4*j/11 - 23. Let c(z) = 0. Calculate z.
-2, 1
Let d(y) be the third derivative of y**7/1260 + y**6/360 + y**4/12 - 2*y**2. Let v(j) be the second derivative of d(j). Factor v(q).
2*q*(q + 1)
Suppose -2*q = -7*q. Let o(y) be the third derivative of -7/360*y**6 - 3*y**2 + 2/315*y**7 + 1/72*y**4 + q*y**3 + 0*y + 0 + 1/90*y**5. What is r in o(r) = 0?
-1/4, 0, 1
Find s, given that 4/17*s**2 - 2/17*s**3 - 2/17*s + 0 = 0.
0, 1
Find b such that -12*b**3 + b**5 + 2*b**5 + 3*b**5 - 3*b**3 - 3*b**4 - 6*b**2 = 0.
-1, -1/2, 0, 2
Let z(m) be the first derivative of -2*m**5/25 - m**4/5 + 2*m**2/5 + 2*m/5 - 7. Factor z(t).
-2*(t - 1)*(t + 1)**3/5
Let s(f) = -3*f**5 + 4*f**3 - f - 1. Let i(z) = -z**5 + 2*z**3 - z - 1. Let t(h) = -i(h) + s(h). What is x in t(x) = 0?
-1, 0, 1
Let -4*c**2 - 2*c**2 + 9*c**2 - 5*c**2 + 4*c**3 = 0. Calculate c.
0, 1/2
Let o(y) be the first derivative of y**4/20 - y**3/15 - y**2/5 + 3. Factor o(i).
i*(i - 2)*(i + 1)/5
Let c(u) be the first derivative of u**2 + u + 1. Let h be c(1). Factor 3*t - t + 0*t - 2*t**h.
-2*t*(t - 1)*(t + 1)
Let d(x) = -6*x**3 + x**2 - 9*x + 40. Let n(r) = -r**3 - 2*r + 8. Let u(z) = -2*d(z) + 11*n(z). Let u(j) = 0. What is j?
-2, 2
Let c = -15 + 7. Let h = 11 + c. Suppose 0 + 4/7*v**2 + 2/7*v + 2/7*v**h = 0. Calculate v.
-1, 0
Suppose k = -4*k + 55. Let c = 13 - k. Factor -w**c - 3*w + 3 - 3*w + 4*w**2.
3*(w - 1)**2
Let j be (-1020)/(-16) - 0/2. Let f = 65 - j. Solve -c**2 - f*c - 1/4 = 0.
-1, -1/4
Let z = -8/21 - -38/63. Let l be 2/(-9) - (-40)/18. Find f, given that -z*f**3 - 4/9*f**l + 2/9*f + 4/9 = 0.
-2, -1, 1
Suppose 3*x - 29 = -c, 5*x - c - 43 = -0*x. Let s be 6/9*x - 0. Suppose -8 + 24*l - 24*l**2 + s*l**2 + 0*l**2 = 0. What is l?
2/3
Let s(y) be the second derivative of y**4/60 + y**3/10 + y**2/5 + 7*y. Factor s(i).
(i + 1)*(i + 2)/5
Let m(y) be the third derivative of y**6/180 + y**5/45 - y**4/9 - 8*y**3/9 - 2*y**2. Solve m(i) = 0.
-2, 2
Suppose 4 = 3*m - 2. Factor 7*a**2 - 2*a**3 - 2*a**4 - 7*a**m.
-2*a**3*(a + 1)
Let a(h) be the first derivative of -4*h**3/3 - 8*h**2 - 12*h - 38. Factor a(x).
-4*(x + 1)*(x + 3)
Suppose -3*m + 10 = 2*m. Suppose 2*u + z = -z + 8, -u + 3*z = -12. Factor 5*w**2 - 14*w**3 + 11*w**4 - w**m - u*w**5 + 5*w**4.
-2*w**2*(w - 1)**2*(3*w - 2)
Let u = -695/3 + 232. Factor u*m**3 - 1/3*m - 1/3*m**2 + 1/3.
(m - 1)**2*(m + 1)/3
Let a be ((-302)/20)/(2/(-36)). Let v = a + -270. Factor -3*l + v*l**2 + 6/5.
3*(l - 1)*(3*l - 2)/5
Let j be (-84)/(-12) + -6 + (-2 - -3). Determine f, given that 2/7*f**4 + 24/7*f**5 + 72/7*f - 114/7*f**3 - 4/7*f**j - 16/7 = 0.
-2, -1, 1/4, 2/3, 2
Determine h, given that -2/5*h + 1/5*h**3 - 1/5*h**2 + 0 = 0.
-1, 0, 2
Let v(z) = -z**4 - z + 1. Let t(b) be the second derivative of -b**7/14 + 2*b**6/15 - 3*b**5/20 - b**3/3 + b**2 - 2*b. Let n(s) = t(s) - 2*v(s). Factor n(o).
-3*o**3*(o - 1)**2
Let l be -2*1*(-2)/2. Let n(q) be the third derivative of -1/120*q**6 + 0 + 0*q**4 + 0*q - q**l - 1/60*q**5 + 0*q**3. Solve n(h) = 0.
-1, 0
Let l be 3*2/(0 + 108). Let z(d) be the second derivative of 0*d**2 - l*d**4 + 1/9*d**3 + 0 - 2*d. Factor z(f).
-2*f*(f - 1)/3
Let z(t) = -t**2 + 4*t - 3. Let b be z(4). Let d be (0 - 1)/(b/6). Factor 6*k - k**3 - 3*k - k**4 + k**2 - d*k.
-k*(k - 1)*(k + 1)**2
Let m be ((-10)/(-15))/(2/(-54)). Let c be (m/12)/(3/(-4)). Factor 2*s**5 + s**4 - s**3 - s**3 - 3*s**4 + 2*s**c.
2*s**2*(s - 1)**2*(s + 1)
Let z(g) be the second derivative of 0*g**2 - 1/60*g**5 - 2*g + 1/12*g**4 - 1/9*g**3 + 0. Solve z(a) = 0.
0, 1, 2
Let i = 49 - 97/2. Factor -i + 1/2*a