+ 159*l + 2. Factor z(q).
-(q + 92)**2/5
Suppose 2*c - 13 = k - 2, -c + 4*k = -23. Let v(u) be the first derivative of 0*u + 0*u**c + 0*u**5 + 1/2*u**6 + 0*u**4 - 3 + 0*u**2. Solve v(h) = 0.
0
Let z(a) be the third derivative of 0*a + 1/3*a**4 - 1/15*a**6 + 2/3*a**3 + 0*a**5 + 0 + 10*a**2 - 2/105*a**7. Find q, given that z(q) = 0.
-1, 1
Let m(a) be the second derivative of -a**8/11760 + a**6/840 + a**5/420 + 4*a**3/3 - 3*a**2/2 + 4*a. Let y(j) be the second derivative of m(j). Solve y(o) = 0.
-1, 0, 2
Solve 3*m - 1/4*m**3 - 4 + 0*m**2 = 0 for m.
-4, 2
Let s(p) be the first derivative of -p**5/5 + 23*p**4/4 - 22*p**3/3 + 243. What is l in s(l) = 0?
0, 1, 22
Let q(i) = i - 4. Let f be q(7). Suppose 9 = 5*k - x, f*k = -4*x + 4 + 6. Factor 18*m**5 + 122*m**3 + 31*m**2 + 14*m**k - 5*m**2 + 16*m**2 + 84*m**4 + 8*m.
2*m*(m + 2)**2*(3*m + 1)**2
Let j(r) be the second derivative of -r**5/105 - 59*r**4/126 - 20*r**3/3 + 75*r**2/7 - 95*r. Factor j(m).
-2*(m + 15)**2*(2*m - 1)/21
Suppose 3*i - 5*w - 2 = 19, 2*w = -6. Let l(t) be the second derivative of 0*t**3 - 1/60*t**5 - 1/12*t**4 + 0 + 8*t + 2/3*t**i. Factor l(u).
-(u - 1)*(u + 2)**2/3
Suppose 4*j - 19 = 5. Let b be 196/(-35) + j + (-358)/(-30). Find r such that -4/3*r + 0 - b*r**3 - 3*r**5 - 10*r**4 - 20/3*r**2 = 0.
-1, -2/3, 0
Suppose -5*l - 3*y + 3 - 38 = 0, 1 = -4*l + 3*y. Let j be (l/(-10))/(3/15). Suppose -1 + 1 + a**3 - a**j = 0. What is a?
0, 1
Let l(d) be the first derivative of -4*d + 0*d**2 - 1/50*d**5 - 1/30*d**4 + 0*d**3 + 2. Let m(x) be the first derivative of l(x). Find v, given that m(v) = 0.
-1, 0
Suppose 125*a**4 - 11*a**5 - 110*a**3 - 2447*a**2 + 2347*a**2 + 130*a - 9*a**5 - 25 = 0. What is a?
-1, 1/4, 1, 5
Let g be 4*(-4 + 2)/(-2). Factor -9*d**2 - 7*d**4 - 9*d**3 + d - 4*d + 4*d**g.
-3*d*(d + 1)**3
Let l(r) be the first derivative of -r**4/10 - 2*r**3/5 + 2*r**2 + 103. Determine c so that l(c) = 0.
-5, 0, 2
Let o(q) be the first derivative of -q**4/30 + 4*q**3/45 - q**2/15 - 36*q + 29. Let n(z) be the first derivative of o(z). Factor n(b).
-2*(b - 1)*(3*b - 1)/15
Suppose -4*m = v - 15, -6*m - 4*v = -5*m - 15. Factor 0*i + 0 + 2/5*i**2 - 2/5*i**m.
-2*i**2*(i - 1)/5
Let -390*x + 25350 + 3/2*x**2 = 0. What is x?
130
Let c(j) be the first derivative of -j**5/30 - j**4/4 + 4*j**2 - 9. Let t(a) be the second derivative of c(a). Factor t(z).
-2*z*(z + 3)
Let u(f) be the second derivative of f**3 + 7*f**2 - 31*f. Let n be u(-2). Factor 0 - 1/6*q**5 - 1/3*q**3 - 1/2*q**4 + 0*q**n + 0*q.
-q**3*(q + 1)*(q + 2)/6
Let q(x) be the first derivative of 14*x**5/15 - 92*x**4/3 - 2458*x**3/9 - 550*x**2 + 384*x + 228. Determine m so that q(m) = 0.
-3, 2/7, 32
Let x be (-7)/(-14) - (-58)/4. Suppose 4*k + 7 = x. What is b in -1/4*b**k + 3/2*b - 9/4 = 0?
3
Let c(m) be the first derivative of 45/2*m**2 - 43 + 25/6*m**3 + 81/2*m. Let c(o) = 0. Calculate o.
-9/5
Suppose -2*z - 10 + 40 = 0. Let u be ((-10)/(-6))/(5/z). Factor 0*c - u*c + c**2 + 1 + 7*c.
(c + 1)**2
Let f(c) be the third derivative of -c**5/540 + 5*c**4/216 - 8*c**2 - 3. Factor f(h).
-h*(h - 5)/9
What is i in 58664*i**3 - 8*i**2 - 58654*i**3 - 2*i**4 + 216 - 162*i + 26*i**2 = 0?
-4, 3
Let m(w) = -2*w + 3*w - 14*w - w**2 - 9 - 3. Let y(q) = -9*q**2 - 129*q - 120. Let d(j) = -21*m(j) + 2*y(j). Factor d(x).
3*(x + 1)*(x + 4)
Let l(t) be the second derivative of 0 - 1/30*t**4 + 36*t + 0*t**3 + 0*t**2 + 1/50*t**5. Factor l(z).
2*z**2*(z - 1)/5
Suppose 8*p - 3*p = -5*c + 35, 2*c = 10. Suppose p*t + 6 = 5*t. Determine m so that -2*m**2 - 3*m**t - m**2 + 2*m**2 + 4 = 0.
-1, 1
Let i(o) be the first derivative of -o**6/192 + o**5/40 + 11*o**4/192 - o**3/8 - o**2/2 - 5*o + 35. Let h(b) be the second derivative of i(b). Solve h(s) = 0.
-1, 2/5, 3
Let y(d) = 8*d**2 + 18*d - 4. Let t = 1 - -3. Let i(r) = 16*r**2 + 38*r - 8. Let c(z) = t*i(z) - 10*y(z). Factor c(h).
-4*(h + 2)*(4*h - 1)
Let o(h) be the first derivative of -h**4 - 16*h**3 - 70*h**2 - 96*h + 36. Let o(z) = 0. Calculate z.
-8, -3, -1
Let l(r) be the second derivative of -27*r**5/70 - 275*r**4/14 + 1112*r**3/63 - 124*r**2/21 - 184*r. Factor l(i).
-2*(i + 31)*(9*i - 2)**2/21
Find u, given that 2/15*u**2 + 0 + 28/15*u = 0.
-14, 0
Suppose 4*a + 3 - 11 = 0. Let m be ((-33)/66)/((-1)/a). Factor 11/4*x - m + 3/4*x**2.
(x + 4)*(3*x - 1)/4
Let b(w) = -4*w**3 + 6*w**2 + 10*w. Let l(u) = -u**3 - u**2. Let d(x) = 2*b(x) - 4*l(x). Solve d(t) = 0 for t.
-1, 0, 5
Find v such that 1793*v**3 - 1 - v**2 + 3*v - 2*v + 2*v**2 - 1794*v**3 = 0.
-1, 1
Let r(u) = -2*u**3 + 1. Suppose -5*l = -l + 4. Let o be r(l). Factor 2 - 32*q**3 + 17*q**o - q + 18*q**3 - 4*q**2.
(q - 1)**2*(3*q + 2)
Let a(y) be the second derivative of 25*y**7/252 - 37*y**6/18 + 71*y**5/30 - 7*y**4/9 + 182*y. Solve a(q) = 0 for q.
0, 2/5, 14
Let n = 290 + -287. Let i(q) be the third derivative of 2/75*q**5 + 0*q**n - 1/30*q**4 - 1/150*q**6 + 0*q + 3*q**2 + 0. Suppose i(o) = 0. What is o?
0, 1
Let n(o) be the first derivative of o**6/4 + 66*o**5/5 + 363*o**4/2 - 239. Determine l, given that n(l) = 0.
-22, 0
Let j(z) be the first derivative of -2*z**5/5 - 41*z**4/2 + 68. Factor j(t).
-2*t**3*(t + 41)
Let n(g) be the second derivative of -g**5/2 + 26*g**4/3 - 20*g**3/3 + 25*g. Solve n(q) = 0.
0, 2/5, 10
Let v(g) be the first derivative of 4*g**3 + 0*g + 0*g**2 + 3/4*g**4 - 5. Factor v(n).
3*n**2*(n + 4)
Suppose 0 = -5*k + 56 - 326. Let i = k + 219/4. Solve 0 - 3/4*r**4 - 3/4*r**5 + 0*r + 3/4*r**3 + i*r**2 = 0 for r.
-1, 0, 1
Let w(l) = 2*l + 20. Let f be w(-8). Let n(t) = t**2 + t. Let b(y) = 4*y**2 + 5*y. Let g(u) = f*b(u) - 18*n(u). Factor g(x).
-2*x*(x - 1)
Let b(z) = 4*z**2 + 4*z. Let l(t) = -4704 + 4704 - t**2. Let i(m) = -5*b(m) - 15*l(m). Suppose i(s) = 0. What is s?
-4, 0
Let b(f) be the first derivative of f**7/315 - f**6/60 + f**5/30 - f**4/36 - 4*f**2 - 24. Let w(u) be the second derivative of b(u). Factor w(p).
2*p*(p - 1)**3/3
Let j(o) = 53*o + 4. Let x be j(1). Suppose -x*n + 12 = -54*n. Suppose 11*h**3 + 3/2*h**n - h - 10*h**5 - 3/2*h**2 + 0 = 0. What is h?
-1, -1/4, 0, 2/5, 1
Let i = -165 - -169. Let r(l) be the third derivative of 1/70*l**7 + 1/12*l**i + 5*l**2 + 0 - 1/120*l**6 + 0*l**3 - 1/336*l**8 - 1/20*l**5 + 0*l. Factor r(w).
-w*(w - 2)*(w - 1)**2*(w + 1)
Let h = 569 + -567. Let m(p) be the first derivative of 0*p**3 + 0*p**h + 0*p - 1/2*p**4 + 2/5*p**5 - 8. Factor m(s).
2*s**3*(s - 1)
Let f(x) be the first derivative of -x**3 - 39*x**2 - 507*x - 65. Find d such that f(d) = 0.
-13
Let c(d) = -3*d**3 - 32*d**2 + 22*d + 8. Let i(l) = -3*l**3 - 31*l**2 + 21*l + 7. Let w(y) = -6*c(y) + 5*i(y). Find z, given that w(z) = 0.
-13, -1/3, 1
Let p(j) = -1467*j + 10271. Let x be p(7). Factor -2/5 + 2/5*u**x + 0*u.
2*(u - 1)*(u + 1)/5
Let i = 136 - 129. Let n be (7/98 - (-3)/i)/1. Factor 1/4*f + 1/4*f**2 - n.
(f - 1)*(f + 2)/4
Let g(t) = t**3 - 24*t**2 + 43*t + 50. Let x be g(22). Let o be (18/x)/((-468)/48)*-7. Factor o*l - 2/13 + 2/13*l**3 - 6/13*l**2.
2*(l - 1)**3/13
Let v(j) be the first derivative of -15*j**3 + 115*j**2/2 + 60*j - 295. Factor v(f).
-5*(f - 3)*(9*f + 4)
Let r = 209 + -205. Let t(d) be the first derivative of -5 + 9/2*d**2 - 9/5*d**5 - 1/2*d**6 - 3/2*d**r + 3*d + 2*d**3. Factor t(v).
-3*(v - 1)*(v + 1)**4
Let s(k) be the third derivative of k**5/180 + k**4/18 - 7*k**3/6 + 19*k**2 - 3. Find l, given that s(l) = 0.
-7, 3
Let k(p) be the first derivative of -7*p**4 + 32 - 10*p**3 - 530*p**2 - 2*p**3 + 526*p**2. Factor k(u).
-4*u*(u + 1)*(7*u + 2)
Let d(s) = -13*s**2 + 11*s - 2. Let p(v) = 13*v**2 - 10*v - 3. Let a(c) = -1. Let m(j) = -5*a(j) + p(j). Let u(q) = 5*d(q) + 4*m(q). Solve u(l) = 0.
2/13, 1
Let p(n) be the first derivative of 3*n**2 - 3*n - 3/2*n**3 + 2 + 1/4*n**4. Let b(j) be the first derivative of p(j). Determine z so that b(z) = 0.
1, 2
Let r(d) = 81*d**2 - 57 - 20*d + 82*d**2 - 158*d**2. Let o(g) = -5*g**2 + 20*g + 58. Let n(k) = 3*o(k) + 2*r(k). Factor n(t).
-5*(t - 6)*(t + 2)
Let v(z) be the second derivative of 5*z**4/12 + 5*z**3/2 - 25*z**2 + z - 2. Solve v(r) = 0 for r.
-5, 2
Let p be 1/(-2)*0/(-15). Determine y, given that -3/5*y**2 + p*y + 3/5*y**4 + 0*y**3 + 0 = 0.
-1, 0, 1
Let y(i) be the third derivative of 37*i**2 + 1/15*i**5 - 1/100*i**6 - 1/20*i**4 + 0 + 0*i + 0*i**3. Suppose y(m) = 0. What i