
(d - 4)*(d + 1)*(8*d + 1)/4
Solve -7*n**2 - 70 - 2*n**2 + 67 + 14*n - 5*n + 5*n**3 - 2*n**3 = 0 for n.
1
Let o = 102 - 104. Let a be -5 - o*111/42. Suppose 3/7*z**3 - a*z + 1/7*z**4 + 0 - 1/7*z**2 - 1/7*z**5 = 0. Calculate z.
-1, 0, 1, 2
Solve -3/2*w**4 + 9*w**3 + 15*w - 18*w**2 - 9/2 = 0 for w.
1, 3
Let j = -411/28 - -122/7. Solve -j*g**3 + 1/4*g - 4*g**2 + 3/2 = 0 for g.
-1, 6/11
Suppose -2*f + 3*k = -39, 7*f + 3*k - 33 = 5*f. Let r = -15 + f. Find b such that 2*b**2 - 8/3*b**4 + 2/3*b + 0*b**r + 0 = 0.
-1/2, 0, 1
Factor -6/7*l + 3/7*l**2 + 3/7.
3*(l - 1)**2/7
Let t = 1072 + -1072. Let w(r) be the third derivative of 1/240*r**6 - 1/120*r**5 + 0 + 0*r**3 + 0*r**4 - r**2 + t*r. Factor w(v).
v**2*(v - 1)/2
Suppose -135*m + 10*m + 625 = 0. Find b, given that 0 + 8/9*b**3 - 4*b**4 + 8/9*b + 4*b**2 - 16/9*b**m = 0.
-2, -1, -1/4, 0, 1
Let y(u) be the first derivative of 23 - 16*u + 2/3*u**3 - 2*u**2. Let y(h) = 0. Calculate h.
-2, 4
Let w be (-4 - 444/(-90)) + 6/(-10). Let n(q) be the first derivative of -5 - 1/12*q**4 - 4/3*q + 0*q**2 + w*q**3. Factor n(t).
-(t - 2)**2*(t + 1)/3
Factor -3/4*l**2 + 63/4 - 15*l.
-3*(l - 1)*(l + 21)/4
Let a(p) be the first derivative of -p**5/5 - p**4/3 + 2*p**3/3 + 2*p**2 - 12*p - 3. Let z(w) be the first derivative of a(w). Suppose z(d) = 0. What is d?
-1, 1
Let k be (-330)/(-4)*(-24 - (-12684)/525). Determine l so that 3/5*l**2 + 363/5 - k*l = 0.
11
Let z(c) = 25*c**2 - 8*c + 3. Let b(p) = 58*p**2 - 17*p + 5. Let h(l) = 3*b(l) - 7*z(l). Factor h(y).
-(y - 3)*(y - 2)
Let n be ((-55)/(-1140) - 48/(-1368))*(-1 + 28). Let n*h**5 + 3/2*h**4 - 11/4*h**3 + h - h**2 + 0 = 0. What is h?
-1, 0, 2/3
Let l(k) = -3*k**2 - 117*k + 1558. Let c(q) = 2*q**2 + 59*q - 778. Let r(t) = -10*c(t) - 6*l(t). Factor r(w).
-2*(w - 28)**2
Let b(x) = x**2 + x. Let h(j) = -16*j**2 - 16*j. Let f(c) = -2*c**2 - 10*c + 2. Let g be f(-5). Let z(i) = g*h(i) + 36*b(i). Factor z(k).
4*k*(k + 1)
Let k(c) be the first derivative of -c**6/45 + c**4/9 - c**2/3 - 13*c + 5. Let q(f) be the first derivative of k(f). Let q(h) = 0. What is h?
-1, 1
Let q(d) = -41*d**2 + 185*d + 87. Let w(v) = 8*v**2 - 37*v - 19. Let g(u) = 6*q(u) + 33*w(u). Determine l, given that g(l) = 0.
-5/6, 7
Let j(t) = -11*t + 12. Let f be j(2). Let k be ((-12)/f)/((-12)/(-15)). Factor -1/2*a**3 - 3/2*a - k*a**2 - 1/2.
-(a + 1)**3/2
Let g(o) be the third derivative of -o**7/56 + 3*o**6/20 - 7*o**5/40 - 3*o**4/4 + 17*o**3/6 + 16*o**2. Let k(p) be the first derivative of g(p). Factor k(q).
-3*(q - 3)*(q - 1)*(5*q + 2)
Let w(s) be the first derivative of -s**6/120 + s**5/30 + s**4/8 - 4*s**2 + 7. Let y(z) be the second derivative of w(z). Factor y(l).
-l*(l - 3)*(l + 1)
Let d(k) be the first derivative of k**6/320 + k**5/40 + 3*k**4/64 + k**2 + 23*k + 14. Let c(n) be the second derivative of d(n). Solve c(o) = 0 for o.
-3, -1, 0
Let l be 14/(-4)*(-7 + 5). Suppose 7*a - l*a = 3*a. Let 0*i + i**4 + 0*i**2 - 1/2*i**3 + a - 1/2*i**5 = 0. What is i?
0, 1
Let c(d) = 4*d + 2. Let g be c(4). Let i = -10 + g. Factor -20*a + 4 + 14*a - i - 2*a**2.
-2*(a + 1)*(a + 2)
Let o(c) be the second derivative of -c**6/10 + c**5/20 + c**4/6 + 34*c - 4. Factor o(f).
-f**2*(f - 1)*(3*f + 2)
Let f(l) be the second derivative of l**6/6 + 149*l**5 + 111005*l**4/2 + 33079490*l**3/3 + 2464422005*l**2/2 + 243*l. Suppose f(u) = 0. What is u?
-149
Let m be 3 + 7 + -3 + -5. Factor 2/3*a**m - 1/3*a**5 - 2/3*a**4 + 1/3*a + 0 + 0*a**3.
-a*(a - 1)*(a + 1)**3/3
Let o(k) be the third derivative of 1/132*k**4 + 1/33*k**3 - 1/165*k**5 - 3*k**2 + 1/1848*k**8 - 11*k - 1/330*k**6 + 0 + 1/1155*k**7. Factor o(y).
2*(y - 1)**2*(y + 1)**3/11
Let j = 122 + -21. Suppose j = -9*a + 128. Factor -2/9*b**a - 10/3*b + 14/9*b**2 + 2.
-2*(b - 3)**2*(b - 1)/9
Suppose 3*l - 11 = 4*s, -2*l = -4*s - s - 5. Suppose f**2 - s + 4 + 4 - 5*f - 1 = 0. Calculate f.
2, 3
Let q(x) = x**2 - 56*x - 847. Let t(p) = p**2 + p - 3. Let s(c) = q(c) - 2*t(c). Determine m so that s(m) = 0.
-29
Let n(s) be the second derivative of 7*s**7/2 - 63*s**6/5 - 102*s**5/5 + 124*s**4 - 120*s**3 + 48*s**2 + 114*s. Suppose n(c) = 0. What is c?
-2, 2/7, 2
Let w(s) be the second derivative of s**7/33 + 23*s**6/165 - s**5/5 - 4*s**4/33 - 32*s. Determine p so that w(p) = 0.
-4, -2/7, 0, 1
Find v, given that 22*v**2 - 10 - 5*v - 9*v**2 + 10*v - 8*v**2 = 0.
-2, 1
Let t be ((-32)/(-10))/(2/5). Factor -2 - 2619*a**2 + 3*a**3 - 5*a**3 + 2*a + t + 2613*a**2.
-2*(a - 1)*(a + 1)*(a + 3)
Suppose b - 2*z - 12 = 0, -5*b + 98 - 26 = -4*z. Let f be (4 + -1)*(-6)/(-9). Factor -b*j**f + 14*j + 1 + 4*j**2 - 3.
-2*(j - 1)*(6*j - 1)
Let h be 1*-1*((-30)/3)/5. Let w be 1 - 2/h - (-1)/6. Let -w + 1/3*a - 1/6*a**2 = 0. What is a?
1
Let w(a) be the first derivative of 1/12*a**6 + 0*a**2 - 1/10*a**5 + 0*a**3 + 3 + 0*a + 0*a**4. Let w(h) = 0. Calculate h.
0, 1
Let b be 1/(15/4)*10/4. Let v(n) = -n**3 + 6*n**2 - n + 8. Let c be v(6). Determine r so that 0 - 2/3*r**c - b*r = 0.
-1, 0
What is l in 13/10*l**2 + 51/10*l - 1/10*l**4 + 18/5 - 3/10*l**3 = 0?
-3, -1, 4
Let w be ((-5)/(-51))/(3175/11430). Find l such that -12/17*l + 2/17*l**3 + w*l**2 - 16/17 = 0.
-4, -1, 2
Factor 81/8 - 3/8*y**2 - 9/4*y.
-3*(y - 3)*(y + 9)/8
Let r be (-37)/111 + 38/6. Let c(f) be the third derivative of 0*f**3 - 7*f**2 + 0 + 1/210*f**r - 1/735*f**7 + 0*f - 1/210*f**5 + 0*f**4. Factor c(w).
-2*w**2*(w - 1)**2/7
Let x(l) be the third derivative of -4*l**5/15 - 43*l**4/12 - 5*l**3 - 76*l**2. Factor x(k).
-2*(k + 5)*(8*k + 3)
Let d(y) be the second derivative of -15*y**4/4 + 5*y**3/3 + 49*y. Factor d(r).
-5*r*(9*r - 2)
Let z be -2 + (120/32 - 6/8). Let t(o) = o**3 - o**2 - o + 1. Let s(u) = -u**3 - 5*u**2 + 13*u - 7. Let i(m) = z*s(m) + 5*t(m). Factor i(v).
2*(v - 1)**2*(2*v - 1)
Suppose 0 = 2*q + 2, 5*l - 31 = 4*q - 2. Factor l*h - 15*h**2 - 8 - 20*h - 5*h**3 + 3.
-5*(h + 1)**3
Let h(l) be the first derivative of -l**6/30 + l**5/10 - l**4/12 + 26*l + 21. Let x(f) be the first derivative of h(f). Determine q, given that x(q) = 0.
0, 1
Factor -55*l - 5*l**2 - 58 + 110 - 52.
-5*l*(l + 11)
Let f(t) be the first derivative of 3/16*t**4 + 1 + 0*t - 5/12*t**3 - 1/4*t**2. Determine j, given that f(j) = 0.
-1/3, 0, 2
Let c be (-65)/(-42) + 8/(-6). Let q(r) be the second derivative of -1/28*r**4 + 3/7*r**2 + 0 + 2*r + c*r**3 - 1/70*r**6 - 9/140*r**5. What is u in q(u) = 0?
-2, -1, 1
Let b = 25 - 74/3. Let w(k) be the third derivative of 5/24*k**4 + 0 + 1/15*k**5 + 1/120*k**6 + 5*k**2 + b*k**3 + 0*k. Factor w(h).
(h + 1)**2*(h + 2)
Let c(u) be the first derivative of -u**6/270 - 7*u**5/45 - 49*u**4/18 - u**3/3 - 12. Let v(g) be the third derivative of c(g). Determine o so that v(o) = 0.
-7
Let l = -142 - -100. Let f = l + 63. Suppose -f - 4*b**3 + 2*b**3 + 6*b + 17 = 0. Calculate b.
-2, 1
Suppose -78 = -5*l - f, 5*f + 8 = 4*l - 37. Suppose -l*w - 6*w + 42 = 0. Find y such that 6/11*y + 0 - 2/11*y**w = 0.
0, 3
Let p(d) = 13*d**3 - 11*d**2 + 9*d. Let q(u) = -u**3 + u**2 - u. Let y(r) = -2*p(r) - 22*q(r). Find t such that y(t) = 0.
-1, 0, 1
Let k = 25172/9 + -2788. Solve k*n + 2/9*n**4 + 20/9*n**3 + 32/9 + 22/3*n**2 = 0 for n.
-4, -1
Let j = -378220/2317 - -173/331. Let t = j + 163. Find d such that 2/7*d**5 + 0*d + 0*d**2 + t*d**3 + 0 - 4/7*d**4 = 0.
0, 1
Let g = -103 + 105. Suppose 0 = -g*r + 5*r - 4*r. Solve -2/3*s**2 + 2/3 + r*s = 0.
-1, 1
What is w in -4/7*w**3 + 0*w + 24/7*w**2 - 128/7 = 0?
-2, 4
Let r(y) be the second derivative of -2/105*y**6 - 4/21*y**3 + 9*y + 0 + 2/147*y**7 - 3/35*y**5 + 5/21*y**4 + 0*y**2. Factor r(v).
4*v*(v - 1)**3*(v + 2)/7
Let a(t) be the second derivative of -t**4/84 - 16*t**3/21 + 50*t + 2. Solve a(l) = 0.
-32, 0
Let j(p) be the first derivative of p**5/90 - 7*p**4/54 + 5*p**3/9 - p**2 + 16*p - 25. Let x(f) be the first derivative of j(f). Factor x(n).
2*(n - 3)**2*(n - 1)/9
Suppose 4*h = 3*s + 17, -3*s + 7*s + 11 = 3*h. Let u(d) be the first derivative of -2/5*d**h + 0*d + 2/3*d**3 + 1/2*d**4 - 1/3*d**6 + 0*d**2 + 5. Factor u(y).
-2*y**2*(y - 1)*(y + 1)**2
Let r(n) = -n**4 - n**2 + n. Let s(w) = 4*w**2 - 3*w - w**2 - 2*w**4 + 5*w**5 - 8*w**5 + 2*w**3. Let p(i) = 3*r(i) + s(i). Factor p(f).
-f**3*(f + 2)*(3*f - 1)
Let k(c) = c**3 - 5*c**2 + 6*c - 6. Suppose 0 = 3*x - x - 8. Let d be k(x). Find l, given tha